id
stringlengths 9
10
| submitter
stringlengths 1
64
⌀ | authors
stringlengths 4
23.3k
| title
stringlengths 1
294
| comments
stringlengths 1
658
⌀ | journal-ref
stringlengths 1
557
⌀ | doi
stringlengths 10
153
⌀ | report-no
stringlengths 2
479
⌀ | categories
stringlengths 5
102
| license
stringclasses 9
values | abstract
stringlengths 6
5.09k
| versions
list | update_date
stringlengths 10
10
| authors_parsed
sequence | embeddings
sequence | paper_title
stringlengths 4
229
⌀ | paper_url_abs
stringlengths 32
35
⌀ | paper_url_pdf
stringlengths 36
39
⌀ | repo_url
stringlengths 26
195
⌀ | is_official
bool 2
classes | mentioned_in_paper
bool 2
classes | pwc_url
stringlengths 40
81
⌀ | abs_enc
sequence |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1401.0240 | Ming-Chang Chen | M.-C. Chen, C. Hern\'andez-Garc\'ia, C. Mancuso, F. Dollar, B.
Galloway, D. Popmintchev, P.-C. Huang, B. Walker, L. Plaja, A. Jaron-Becker,
A. Becker, T. Popmintchev, M. M. Murnane, H. C. Kapteyn | Generation of Bright Isolated Attosecond Soft X-Ray Pulses Driven by
Multi-Cycle Mid-Infrared Lasers | 14 pages, and 4 figures | null | 10.1073/pnas.1407421111 | null | physics.optics physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | High harmonic generation driven by femtosecond lasers makes it possible to
capture the fastest dynamics in molecules and materials. However, to date the
shortest attosecond (as) pulses have been produced only in the extreme
ultraviolet (EUV) region of the spectrum below 100 eV, which limits the range
of materials and molecular systems that can be explored. Here we use advanced
experiment and theory to demonstrate a remarkable convergence of physics: when
mid-infrared lasers are used to drive the high harmonic generation process, the
conditions for optimal bright soft X-ray generation naturally coincide with the
generation of isolated attosecond pulses. The temporal window over which phase
matching occurs shrinks rapidly with increasing driving laser wavelength, to
the extent that bright isolated attosecond pulses are the norm for 2 \mu m
driving lasers. Harnessing this realization, we demonstrate the generation of
isolated soft X-ray attosecond pulses at photon energies up to 180 eV for the
first time, that emerge as linearly chirped 300 as pulses with a transform
limit of 35 as. Most surprisingly, we find that in contrast to as pulse
generation in the EUV, long-duration, multi-cycle, driving laser pulses are
required to generate isolated soft X-ray bursts efficiently, to mitigate group
velocity walk-off between the laser and the X-ray fields that otherwise limit
the conversion efficiency. Our work demonstrates a clear and straightforward
approach for robustly generating bright attosecond pulses of electromagnetic
radiation throughout the soft X ray region of the spectrum.
| [
{
"created": "Wed, 1 Jan 2014 01:18:15 GMT",
"version": "v1"
}
] | 2014-07-17 | [
[
"Chen",
"M. -C.",
""
],
[
"Hernández-García",
"C.",
""
],
[
"Mancuso",
"C.",
""
],
[
"Dollar",
"F.",
""
],
[
"Galloway",
"B.",
""
],
[
"Popmintchev",
"D.",
""
],
[
"Huang",
"P. -C.",
""
],
[
"Walker",
"B.",
""
],
[
"Plaja",
"L.",
""
],
[
"Jaron-Becker",
"A.",
""
],
[
"Becker",
"A.",
""
],
[
"Popmintchev",
"T.",
""
],
[
"Murnane",
"M. M.",
""
],
[
"Kapteyn",
"H. C.",
""
]
] | [
-0.06035137176513672,
-0.07912968099117279,
-0.03427138179540634,
0.052964579313993454,
0.047834206372499466,
-0.062494080513715744,
0.008900254033505917,
-0.0043813311494886875,
0.00006058514190954156,
-0.015597319230437279,
0.013529208488762379,
-0.042021747678518295,
-0.010398059152066708,
-0.019457068294286728,
0.06948551535606384,
0.08877500891685486,
0.006558241788297892,
-0.058655962347984314,
-0.011361565440893173,
0.0952635109424591,
0.10893622040748596,
-0.07252398878335953,
0.05649334192276001,
-0.007518240716308355,
0.03208894282579422,
-0.00514740077778697,
0.00364873674698174,
-0.10556894540786743,
0.01708785630762577,
-0.03958664834499359,
0.05786573886871338,
-0.016057569533586502,
-0.04428093507885933,
0.051776234060525894,
0.019228214398026466,
0.04753605276346207,
0.08166748285293579,
0.015694689005613327,
0.007992000319063663,
-0.08612377196550369,
-0.010432886891067028,
-0.05722177401185036,
0.0034364131279289722,
0.026626380160450935,
-0.03951597586274147,
-0.031240208074450493,
0.04392576590180397,
-0.061213795095682144,
-0.060750991106033325,
0.005901026539504528,
0.015767747536301613,
0.03813610225915909,
0.002910058246925473,
-0.05322756618261337,
0.028143927454948425,
0.0746709555387497,
-0.043206509202718735,
0.021640034392476082,
0.02834508754312992,
0.006449336186051369,
-0.012290015816688538,
-0.02517070062458515,
0.03598448261618614,
-0.04073788970708847,
0.02320283092558384,
-0.05498060584068298,
0.04820038378238678,
-0.01032724417746067,
-0.0364106260240078,
0.022053204476833344,
-0.05979616567492485,
0.005052205640822649,
-0.03561931103467941,
0.028435107320547104,
-0.010533352382481098,
-0.0009516926947981119,
0.06574851274490356,
0.010469276458024979,
-0.01580451801419258,
0.009922679513692856,
-0.0025991720613092184,
0.040348198264837265,
0.03947469964623451,
0.018802307546138763,
-0.020022239536046982,
-0.03719322755932808,
0.04087478294968605,
0.10369113087654114,
-0.06754656881093979,
0.03326931223273277,
-0.06672465056180954,
0.023558907210826874,
0.05467154458165169,
0.01136588491499424,
0.06578235328197479,
0.020309148356318474,
0.11490488797426224,
-0.01012209802865982,
0.08575236052274704,
-0.030463650822639465,
0.0543673075735569,
0.016822271049022675,
-0.005192533601075411,
0.058169443160295486,
-0.046787939965724945,
-0.10627461969852448,
0.005192817188799381,
0.11146804690361023,
-0.09947793930768967,
0.026368051767349243,
0.11054670065641403,
0.0019498507026582956,
0.027346625924110413,
-0.016948703676462173,
0.012167433276772499,
0.06433490663766861,
-0.04544209688901901,
-0.010695497505366802,
-0.008365871384739876,
-0.035434771329164505,
-0.07462414354085922,
0.0646962821483612,
-0.01880478300154209,
0.08601199090480804,
0.029004324227571487,
0.0024533038958907127,
-0.01787581667304039,
3.689451017870972e-33,
0.021872056648135185,
0.05900688096880913,
-0.02761673368513584,
-0.060622721910476685,
-0.010310564190149307,
0.015631873160600662,
0.041601262986660004,
0.031067706644535065,
-0.10414275527000427,
0.0445035956799984,
-0.009491373784840107,
0.021189715713262558,
0.027324538677930832,
-0.053017955273389816,
-0.07419531792402267,
-0.04599447920918465,
0.054655689746141434,
0.04484359174966812,
-0.05792449042201042,
0.04502396658062935,
-0.0951162576675415,
0.03293163329362869,
0.0737161859869957,
-0.00026726818759925663,
-0.05643196776509285,
0.0685187578201294,
-0.012991323135793209,
-0.011719096451997757,
0.012437667697668076,
-0.012370817363262177,
-0.004322339314967394,
0.034970253705978394,
-0.04991540312767029,
0.0440296046435833,
0.06309343129396439,
0.036198779940605164,
-0.035858213901519775,
0.06572607904672623,
-0.01205679401755333,
0.007924444042146206,
-0.08991680294275284,
0.049065764993429184,
0.02576773427426815,
-0.06658726930618286,
0.016204137355089188,
0.007152331527322531,
-0.036447763442993164,
0.020344557240605354,
-0.07077929377555847,
0.0014153821393847466,
-0.035874176770448685,
-0.009868357330560684,
-0.02881905622780323,
0.041210874915122986,
0.05923059210181236,
-0.013208258897066116,
0.06269080191850662,
-0.007949233055114746,
-0.036343853920698166,
0.03826036676764488,
0.08594030886888504,
-0.08735641092061996,
0.01831166073679924,
0.041746579110622406,
-0.09022519737482071,
0.0511779859662056,
-0.010161396116018295,
0.008492390625178814,
0.01726500317454338,
0.06592857837677002,
-0.0025341452565044165,
0.017656752839684486,
0.10128958523273468,
-0.15837375819683075,
0.16243916749954224,
0.009980933740735054,
0.06170319393277168,
0.045661404728889465,
-0.015654530376195908,
0.04036197066307068,
-0.007393755950033665,
0.01560886949300766,
0.001336486078798771,
-0.06007365137338638,
-0.07013333588838577,
0.021683236584067345,
-0.08381973206996918,
0.03426305949687958,
-0.09826193004846573,
0.038055937737226486,
-0.0750594437122345,
-0.1487354040145874,
-0.008109443821012974,
-0.03144058212637901,
-0.07371675968170166,
-3.411599418167108e-33,
0.14301042258739471,
-0.02982473000884056,
0.013381581753492355,
0.025359299033880234,
0.06163106858730316,
0.03714961186051369,
0.05657283216714859,
0.010272664949297905,
-0.06432339549064636,
-0.05351464822888374,
0.11637476831674576,
-0.00881266314536333,
-0.07457725703716278,
-0.005967952776700258,
-0.04462224990129471,
0.009283998049795628,
0.10238523781299591,
-0.029959656298160553,
0.029607191681861877,
0.02528134360909462,
0.032905250787734985,
0.09171653538942337,
0.018021725118160248,
0.04877966269850731,
0.027853550389409065,
-0.015067843720316887,
0.0014106769813224673,
-0.057858891785144806,
-0.011547469533979893,
-0.03035070188343525,
-0.08343862742185593,
0.012740261852741241,
-0.03038853220641613,
-0.09342104941606522,
-0.1204308494925499,
0.000762587005738169,
-0.020696869120001793,
0.06440776586532593,
-0.05358130484819412,
-0.0046528843231499195,
0.042771100997924805,
0.02967711351811886,
-0.03736061602830887,
0.0456237718462944,
0.00010245168959954754,
0.11548828333616257,
-0.0330662876367569,
-0.056439436972141266,
-0.02394656278192997,
0.07202677428722382,
0.00517294742166996,
-0.09242699295282364,
0.03965872898697853,
0.05145026370882988,
-0.0830894187092781,
-0.040665507316589355,
-0.0638728067278862,
0.09341242164373398,
-0.017865078523755074,
0.07082797586917877,
-0.0630408227443695,
-0.0006717929500155151,
0.040983960032463074,
-0.04677308723330498,
-0.012603129260241985,
-0.003955480642616749,
-0.03463656082749367,
0.040032025426626205,
-0.02375447377562523,
-0.007297574542462826,
0.0007261872524395585,
-0.041874960064888,
-0.04395043104887009,
0.06814242899417877,
-0.0056673577055335045,
-0.00854003056883812,
-0.02436436526477337,
-0.11521458625793457,
0.0024891048669815063,
-0.030695294961333275,
0.008081874810159206,
0.06959491223096848,
-0.052663419395685196,
0.026971371844410896,
0.06961245834827423,
0.0033540541771799326,
0.04224885255098343,
0.01298623625189066,
-0.02079060859978199,
-0.017328325659036636,
-0.025082478299736977,
0.044647131115198135,
0.0035743708722293377,
-0.04763244464993477,
0.08876568078994751,
-4.432240530150011e-8,
-0.005141381174325943,
0.016311977058649063,
-0.039296697825193405,
0.0351983867585659,
0.10611076653003693,
0.038568370044231415,
-0.03355308249592781,
0.0640937015414238,
0.01592296175658703,
-0.05139229819178581,
0.02910608984529972,
-0.014925656840205193,
0.03974345698952675,
-0.009286319836974144,
0.007568011060357094,
-0.021748818457126617,
-0.006945349276065826,
-0.06376423686742783,
0.03371312841773033,
-0.01950022205710411,
-0.04567752033472061,
-0.008738940581679344,
0.008835675194859505,
0.0161751601845026,
-0.013549098744988441,
-0.04669065773487091,
-0.016130268573760986,
-0.036495696753263474,
0.07847119122743607,
-0.08380620181560516,
-0.029657574370503426,
-0.0198521725833416,
0.015607616864144802,
0.05079903081059456,
-0.08262822031974792,
-0.009557521902024746,
-0.0780739039182663,
-0.025388922542333603,
0.0033282104413956404,
-0.05732068419456482,
-0.009511827491223812,
0.05264719948172569,
-0.01992347463965416,
-0.031156517565250397,
-0.10727966576814651,
0.03753878176212311,
-0.06656388938426971,
-0.0688919723033905,
0.026192547753453255,
0.08240363001823425,
-0.0005254372954368591,
0.0009546616929583251,
0.029873808845877647,
-0.10966183245182037,
0.01666928268969059,
0.00028382064192555845,
0.008679253980517387,
-0.037860237061977386,
0.03949836269021034,
0.029464635998010635,
0.11205772310495377,
-0.10206800699234009,
-0.016930336132645607,
-0.030355481430888176
] | null | null | null | null | null | null | null | [
-0.06035137176513672,
-0.07912968099117279,
-0.03427138179540634,
0.052964579313993454,
0.047834206372499466,
-0.062494080513715744,
0.008900254033505917,
-0.0043813311494886875,
0.00006058514190954156,
-0.015597319230437279,
0.013529208488762379,
-0.042021747678518295,
-0.010398059152066708,
-0.019457068294286728,
0.06948551535606384,
0.08877500891685486,
0.006558241788297892,
-0.058655962347984314,
-0.011361565440893173,
0.0952635109424591,
0.10893622040748596,
-0.07252398878335953,
0.05649334192276001,
-0.007518240716308355,
0.03208894282579422,
-0.00514740077778697,
0.00364873674698174,
-0.10556894540786743,
0.01708785630762577,
-0.03958664834499359,
0.05786573886871338,
-0.016057569533586502,
-0.04428093507885933,
0.051776234060525894,
0.019228214398026466,
0.04753605276346207,
0.08166748285293579,
0.015694689005613327,
0.007992000319063663,
-0.08612377196550369,
-0.010432886891067028,
-0.05722177401185036,
0.0034364131279289722,
0.026626380160450935,
-0.03951597586274147,
-0.031240208074450493,
0.04392576590180397,
-0.061213795095682144,
-0.060750991106033325,
0.005901026539504528,
0.015767747536301613,
0.03813610225915909,
0.002910058246925473,
-0.05322756618261337,
0.028143927454948425,
0.0746709555387497,
-0.043206509202718735,
0.021640034392476082,
0.02834508754312992,
0.006449336186051369,
-0.012290015816688538,
-0.02517070062458515,
0.03598448261618614,
-0.04073788970708847,
0.02320283092558384,
-0.05498060584068298,
0.04820038378238678,
-0.01032724417746067,
-0.0364106260240078,
0.022053204476833344,
-0.05979616567492485,
0.005052205640822649,
-0.03561931103467941,
0.028435107320547104,
-0.010533352382481098,
-0.0009516926947981119,
0.06574851274490356,
0.010469276458024979,
-0.01580451801419258,
0.009922679513692856,
-0.0025991720613092184,
0.040348198264837265,
0.03947469964623451,
0.018802307546138763,
-0.020022239536046982,
-0.03719322755932808,
0.04087478294968605,
0.10369113087654114,
-0.06754656881093979,
0.03326931223273277,
-0.06672465056180954,
0.023558907210826874,
0.05467154458165169,
0.01136588491499424,
0.06578235328197479,
0.020309148356318474,
0.11490488797426224,
-0.01012209802865982,
0.08575236052274704,
-0.030463650822639465,
0.0543673075735569,
0.016822271049022675,
-0.005192533601075411,
0.058169443160295486,
-0.046787939965724945,
-0.10627461969852448,
0.005192817188799381,
0.11146804690361023,
-0.09947793930768967,
0.026368051767349243,
0.11054670065641403,
0.0019498507026582956,
0.027346625924110413,
-0.016948703676462173,
0.012167433276772499,
0.06433490663766861,
-0.04544209688901901,
-0.010695497505366802,
-0.008365871384739876,
-0.035434771329164505,
-0.07462414354085922,
0.0646962821483612,
-0.01880478300154209,
0.08601199090480804,
0.029004324227571487,
0.0024533038958907127,
-0.01787581667304039,
3.689451017870972e-33,
0.021872056648135185,
0.05900688096880913,
-0.02761673368513584,
-0.060622721910476685,
-0.010310564190149307,
0.015631873160600662,
0.041601262986660004,
0.031067706644535065,
-0.10414275527000427,
0.0445035956799984,
-0.009491373784840107,
0.021189715713262558,
0.027324538677930832,
-0.053017955273389816,
-0.07419531792402267,
-0.04599447920918465,
0.054655689746141434,
0.04484359174966812,
-0.05792449042201042,
0.04502396658062935,
-0.0951162576675415,
0.03293163329362869,
0.0737161859869957,
-0.00026726818759925663,
-0.05643196776509285,
0.0685187578201294,
-0.012991323135793209,
-0.011719096451997757,
0.012437667697668076,
-0.012370817363262177,
-0.004322339314967394,
0.034970253705978394,
-0.04991540312767029,
0.0440296046435833,
0.06309343129396439,
0.036198779940605164,
-0.035858213901519775,
0.06572607904672623,
-0.01205679401755333,
0.007924444042146206,
-0.08991680294275284,
0.049065764993429184,
0.02576773427426815,
-0.06658726930618286,
0.016204137355089188,
0.007152331527322531,
-0.036447763442993164,
0.020344557240605354,
-0.07077929377555847,
0.0014153821393847466,
-0.035874176770448685,
-0.009868357330560684,
-0.02881905622780323,
0.041210874915122986,
0.05923059210181236,
-0.013208258897066116,
0.06269080191850662,
-0.007949233055114746,
-0.036343853920698166,
0.03826036676764488,
0.08594030886888504,
-0.08735641092061996,
0.01831166073679924,
0.041746579110622406,
-0.09022519737482071,
0.0511779859662056,
-0.010161396116018295,
0.008492390625178814,
0.01726500317454338,
0.06592857837677002,
-0.0025341452565044165,
0.017656752839684486,
0.10128958523273468,
-0.15837375819683075,
0.16243916749954224,
0.009980933740735054,
0.06170319393277168,
0.045661404728889465,
-0.015654530376195908,
0.04036197066307068,
-0.007393755950033665,
0.01560886949300766,
0.001336486078798771,
-0.06007365137338638,
-0.07013333588838577,
0.021683236584067345,
-0.08381973206996918,
0.03426305949687958,
-0.09826193004846573,
0.038055937737226486,
-0.0750594437122345,
-0.1487354040145874,
-0.008109443821012974,
-0.03144058212637901,
-0.07371675968170166,
-3.411599418167108e-33,
0.14301042258739471,
-0.02982473000884056,
0.013381581753492355,
0.025359299033880234,
0.06163106858730316,
0.03714961186051369,
0.05657283216714859,
0.010272664949297905,
-0.06432339549064636,
-0.05351464822888374,
0.11637476831674576,
-0.00881266314536333,
-0.07457725703716278,
-0.005967952776700258,
-0.04462224990129471,
0.009283998049795628,
0.10238523781299591,
-0.029959656298160553,
0.029607191681861877,
0.02528134360909462,
0.032905250787734985,
0.09171653538942337,
0.018021725118160248,
0.04877966269850731,
0.027853550389409065,
-0.015067843720316887,
0.0014106769813224673,
-0.057858891785144806,
-0.011547469533979893,
-0.03035070188343525,
-0.08343862742185593,
0.012740261852741241,
-0.03038853220641613,
-0.09342104941606522,
-0.1204308494925499,
0.000762587005738169,
-0.020696869120001793,
0.06440776586532593,
-0.05358130484819412,
-0.0046528843231499195,
0.042771100997924805,
0.02967711351811886,
-0.03736061602830887,
0.0456237718462944,
0.00010245168959954754,
0.11548828333616257,
-0.0330662876367569,
-0.056439436972141266,
-0.02394656278192997,
0.07202677428722382,
0.00517294742166996,
-0.09242699295282364,
0.03965872898697853,
0.05145026370882988,
-0.0830894187092781,
-0.040665507316589355,
-0.0638728067278862,
0.09341242164373398,
-0.017865078523755074,
0.07082797586917877,
-0.0630408227443695,
-0.0006717929500155151,
0.040983960032463074,
-0.04677308723330498,
-0.012603129260241985,
-0.003955480642616749,
-0.03463656082749367,
0.040032025426626205,
-0.02375447377562523,
-0.007297574542462826,
0.0007261872524395585,
-0.041874960064888,
-0.04395043104887009,
0.06814242899417877,
-0.0056673577055335045,
-0.00854003056883812,
-0.02436436526477337,
-0.11521458625793457,
0.0024891048669815063,
-0.030695294961333275,
0.008081874810159206,
0.06959491223096848,
-0.052663419395685196,
0.026971371844410896,
0.06961245834827423,
0.0033540541771799326,
0.04224885255098343,
0.01298623625189066,
-0.02079060859978199,
-0.017328325659036636,
-0.025082478299736977,
0.044647131115198135,
0.0035743708722293377,
-0.04763244464993477,
0.08876568078994751,
-4.432240530150011e-8,
-0.005141381174325943,
0.016311977058649063,
-0.039296697825193405,
0.0351983867585659,
0.10611076653003693,
0.038568370044231415,
-0.03355308249592781,
0.0640937015414238,
0.01592296175658703,
-0.05139229819178581,
0.02910608984529972,
-0.014925656840205193,
0.03974345698952675,
-0.009286319836974144,
0.007568011060357094,
-0.021748818457126617,
-0.006945349276065826,
-0.06376423686742783,
0.03371312841773033,
-0.01950022205710411,
-0.04567752033472061,
-0.008738940581679344,
0.008835675194859505,
0.0161751601845026,
-0.013549098744988441,
-0.04669065773487091,
-0.016130268573760986,
-0.036495696753263474,
0.07847119122743607,
-0.08380620181560516,
-0.029657574370503426,
-0.0198521725833416,
0.015607616864144802,
0.05079903081059456,
-0.08262822031974792,
-0.009557521902024746,
-0.0780739039182663,
-0.025388922542333603,
0.0033282104413956404,
-0.05732068419456482,
-0.009511827491223812,
0.05264719948172569,
-0.01992347463965416,
-0.031156517565250397,
-0.10727966576814651,
0.03753878176212311,
-0.06656388938426971,
-0.0688919723033905,
0.026192547753453255,
0.08240363001823425,
-0.0005254372954368591,
0.0009546616929583251,
0.029873808845877647,
-0.10966183245182037,
0.01666928268969059,
0.00028382064192555845,
0.008679253980517387,
-0.037860237061977386,
0.03949836269021034,
0.029464635998010635,
0.11205772310495377,
-0.10206800699234009,
-0.016930336132645607,
-0.030355481430888176
] |
1401.0242 | Shulabh Gupta | Shulabh Gupta, Li Jun Jiang and Christophe Caloz | Unveiling Magnetic Dipole Radiation in Phase-Reversal Leaky-Wave
Antennas | 4 pages, 3 figures | null | 10.1109/LAWP.2014.2317739 | null | physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The radiation principle of travelling-wave type phase-reversal antennas is
explained in details, unveiling the presence of magnetic-dipole radiation in
addition to well-known electric dipole radiation. It is point out that such
magnetic dipole radiation is specific to the case of traveling-wave
phase-reversal antennas whereas only electric-dipole radiation exists in
resonant-type phase-reversal antennas. It is shown that a phase-reversal
travelling-wave antenna alternately operates as an array of magnetic dipoles
and an array of electric-dipoles during a time-harmonic period. This radiation
mechanism is confirmed through both full-wave and experimental results.
| [
{
"created": "Wed, 1 Jan 2014 02:15:32 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Gupta",
"Shulabh",
""
],
[
"Jiang",
"Li Jun",
""
],
[
"Caloz",
"Christophe",
""
]
] | [
-0.009691618382930756,
0.017977913841605186,
0.050880033522844315,
-0.0018695612670853734,
-0.05011403188109398,
-0.014457257464528084,
-0.011423768475651741,
-0.0030972054228186607,
-0.059165120124816895,
0.0032544322311878204,
0.018674300983548164,
0.05342647060751915,
0.0045958273112773895,
-0.05268820375204086,
0.06527412682771683,
-0.03104371204972267,
-0.009288118220865726,
-0.0651860386133194,
0.11366575211286545,
0.05781544744968414,
-0.07651565968990326,
-0.06755342334508896,
-0.13818050920963287,
-0.04154925420880318,
0.05892724171280861,
0.0541369691491127,
0.03528288006782532,
-0.023177485913038254,
-0.04890727996826172,
0.006004025228321552,
-0.031059078872203827,
0.10825158655643463,
-0.15269999206066132,
-0.015883123502135277,
-0.08668738603591919,
0.04228032007813454,
0.026654988527297974,
-0.005587844178080559,
0.08736567944288254,
0.03959576040506363,
0.013793750666081905,
0.032719485461711884,
-0.001091168960556388,
0.003995637875050306,
-0.06093566492199898,
-0.05509922653436661,
-0.02699781209230423,
0.006822574883699417,
0.03434097394347191,
0.03201978653669357,
0.01371060125529766,
0.031936727464199066,
-0.06026469171047211,
0.06356517970561981,
-0.01549371425062418,
0.04765503853559494,
0.05408720299601555,
0.05035162344574928,
-0.02846803516149521,
0.11541067808866501,
0.011175820603966713,
-0.027282996103167534,
-0.04131288081407547,
-0.044320207089185715,
-0.0009479536674916744,
-0.04208796098828316,
-0.07621564716100693,
0.026884742081165314,
0.06558449566364288,
0.026979386806488037,
0.036370765417814255,
0.01359508279711008,
-0.0055476948618888855,
-0.02693062461912632,
0.015274773351848125,
0.05367163568735123,
0.0028734561055898666,
0.08651726692914963,
-0.007359616924077272,
0.0468732975423336,
-0.10172026604413986,
-0.05421733856201172,
-0.05248416215181351,
-0.003985085058957338,
0.014191935770213604,
-0.02337983250617981,
-0.04237562417984009,
0.00048674122081138194,
-0.030885392799973488,
-0.05630876123905182,
-0.02056041918694973,
0.004624520428478718,
0.041769493371248245,
-0.023619486019015312,
0.02325328439474106,
0.00031456377473659813,
0.017063060775399208,
0.01776016876101494,
0.0382489413022995,
-0.004899904131889343,
0.05916412174701691,
-0.004342848435044289,
0.02609327994287014,
0.036182701587677,
-0.06388363987207413,
-0.08963529765605927,
0.01959574967622757,
-0.0174715518951416,
-0.06011795625090599,
-0.03800437971949577,
-0.0007722983718849719,
0.05190528556704521,
0.023585744202136993,
-0.06242375448346138,
0.0005089732585474849,
-0.07169941812753677,
-0.030252011492848396,
0.08526143431663513,
-0.005887230392545462,
-0.05821264162659645,
-0.00003019688301719725,
0.02923377975821495,
0.11776358634233475,
-0.031368132680654526,
0.04065993055701256,
-0.0132607975974679,
0.02120932750403881,
4.106165601947396e-33,
-0.01943211257457733,
0.03996850550174713,
0.022955700755119324,
0.0008353249868378043,
0.007537842262536287,
0.0182627085596323,
-0.061822064220905304,
0.09168512374162674,
0.09333588182926178,
0.008094524033367634,
0.028127171099185944,
0.06981999427080154,
0.020692525431513786,
0.04974815249443054,
-0.04677003249526024,
-0.0024278543423861265,
-0.005131117533892393,
-0.038974579423666,
-0.001367702498100698,
-0.03321904316544533,
0.009442377835512161,
-0.01036867219954729,
0.02641831897199154,
-0.09654075652360916,
-0.02124749682843685,
-0.004641372244805098,
0.03729371726512909,
-0.06218509376049042,
-0.041605379432439804,
0.03202102705836296,
0.029409319162368774,
0.022046728059649467,
-0.025329802185297012,
0.025603609159588814,
0.07238707691431046,
0.0009957485599443316,
0.03104674443602562,
0.000046481112804031,
0.023559462279081345,
0.08211291581392288,
0.06492432206869125,
-0.07097603380680084,
-0.02612663432955742,
0.03995714336633682,
0.07601051777601242,
-0.08868937939405441,
0.030850175768136978,
-0.025524254888296127,
0.01164131611585617,
-0.02516028843820095,
-0.01229899562895298,
-0.12148746103048325,
-0.047904323786497116,
0.0038848400581628084,
0.0647784173488617,
0.027237383648753166,
-0.029278969392180443,
0.07081833481788635,
-0.05366678163409233,
-0.01796524040400982,
0.04155968129634857,
-0.008206652477383614,
-0.0019294752273708582,
-0.04079549014568329,
-0.024259233847260475,
-0.014401360414922237,
0.004382960963994265,
-0.06561888009309769,
-0.0348755307495594,
0.029479369521141052,
0.08052767813205719,
0.08497672528028488,
-0.008463156409561634,
0.007066292688250542,
0.04357502982020378,
-0.04921281710267067,
0.0045417072251439095,
0.10649625211954117,
0.07364564388990402,
0.02641596645116806,
-0.009560830891132355,
-0.08024156093597412,
-0.011637760326266289,
-0.001999719999730587,
0.037488050758838654,
0.003713706973940134,
0.06332972645759583,
-0.12306047230958939,
-0.04030170291662216,
-0.012107253074645996,
0.016794400289654732,
0.08174680173397064,
-0.014990119263529778,
0.01381553802639246,
0.035522159188985825,
-4.638767765967574e-33,
-0.007625435013324022,
-0.029627280309796333,
-0.09705162048339844,
-0.02979291044175625,
-0.042362481355667114,
0.0305483415722847,
0.07502397149801254,
0.10307484120130539,
-0.01646212488412857,
0.05285055935382843,
0.04935510829091072,
-0.033823397010564804,
-0.0343431755900383,
-0.04722290113568306,
-0.0687311515212059,
0.03259360417723656,
0.10783263295888901,
-0.0082025658339262,
0.07575521618127823,
-0.03955433517694473,
-0.009755581617355347,
0.031310826539993286,
0.08285684883594513,
0.004535152111202478,
0.05082544684410095,
-0.049187999218702316,
0.09861995279788971,
0.05491690710186958,
0.024595076218247414,
0.04779116064310074,
-0.004843135364353657,
0.0775611400604248,
0.09388980269432068,
0.061622217297554016,
0.004447101149708033,
0.08193082362413406,
0.010623065754771233,
-0.03536449000239372,
-0.0033093325328081846,
-0.018779601901769638,
0.006836732849478722,
0.028587058186531067,
0.1418224424123764,
-0.03419393301010132,
-0.06807549297809601,
-0.01981237158179283,
-0.08092565834522247,
0.14579150080680847,
-0.039002034813165665,
-0.013849745504558086,
-0.008747827261686325,
-0.14409711956977844,
0.01031978614628315,
-0.004491713363677263,
0.013942473568022251,
-0.033117979764938354,
0.05787386745214462,
-0.011611863039433956,
0.0765625610947609,
0.09502305835485458,
-0.01615694724023342,
-0.05013550445437431,
-0.011278189718723297,
-0.0921291783452034,
-0.04217036813497543,
0.020621271803975105,
-0.029486220329999924,
-0.06291845440864563,
-0.030612824484705925,
-0.0118715176358819,
0.0711275041103363,
0.002587252762168646,
0.009211980737745762,
-0.08130234479904175,
-0.048157308250665665,
0.047737378627061844,
0.07023992389440536,
0.09182973951101303,
-0.07005898654460907,
-0.06467309594154358,
0.01858421415090561,
-0.00407838262617588,
-0.07211481034755707,
-0.06065772846341133,
-0.015729868784546852,
0.00860467366874218,
-0.10949096083641052,
-0.04272884875535965,
-0.08236876130104065,
0.05224939435720444,
0.031163956969976425,
-0.014844794757664204,
-0.007994841784238815,
0.019019998610019684,
0.11521496623754501,
-4.2791604926151194e-8,
-0.000817299704067409,
0.08314868062734604,
0.06524795293807983,
-0.020449280738830566,
0.02079257182776928,
-0.0588906966149807,
0.02334086410701275,
-0.03508086875081062,
0.00928065087646246,
-0.08011399209499359,
-0.019852658733725548,
0.05880534276366234,
0.040739353746175766,
0.008026638068258762,
-0.005760244559496641,
0.03626648336648941,
-0.04991333186626434,
-0.051634084433317184,
0.035096313804388046,
0.03998316451907158,
-0.028112659230828285,
-0.07750022411346436,
0.07270949333906174,
-0.0023070110473781824,
0.06166552007198334,
0.07790285348892212,
0.0030521636363118887,
-0.06967469304800034,
0.030573254451155663,
0.015635903924703598,
-0.07259337604045868,
-0.003081581089645624,
-0.010703342035412788,
0.07971012592315674,
-0.10060714930295944,
-0.04059214890003204,
-0.03103758953511715,
-0.0363151915371418,
-0.039414387196302414,
-0.027735838666558266,
0.007881118915975094,
-0.003969388548284769,
-0.12292199581861496,
-0.012932994402945042,
-0.03538905084133148,
-0.0218832865357399,
0.03149750083684921,
0.08466258645057678,
-0.05244721472263336,
-0.012808723375201225,
-0.011849887669086456,
-0.03168129920959473,
0.07983753830194473,
-0.07461296766996384,
0.006272855214774609,
0.04719776287674904,
-0.020226027816534042,
-0.06775002926588058,
-0.04604244604706764,
0.024669090285897255,
-0.05699806287884712,
0.06762126088142395,
-0.0038219247944653034,
-0.01109796017408371
] | null | null | null | null | null | null | null | [
-0.009691618382930756,
0.017977913841605186,
0.050880033522844315,
-0.0018695612670853734,
-0.05011403188109398,
-0.014457257464528084,
-0.011423768475651741,
-0.0030972054228186607,
-0.059165120124816895,
0.0032544322311878204,
0.018674300983548164,
0.05342647060751915,
0.0045958273112773895,
-0.05268820375204086,
0.06527412682771683,
-0.03104371204972267,
-0.009288118220865726,
-0.0651860386133194,
0.11366575211286545,
0.05781544744968414,
-0.07651565968990326,
-0.06755342334508896,
-0.13818050920963287,
-0.04154925420880318,
0.05892724171280861,
0.0541369691491127,
0.03528288006782532,
-0.023177485913038254,
-0.04890727996826172,
0.006004025228321552,
-0.031059078872203827,
0.10825158655643463,
-0.15269999206066132,
-0.015883123502135277,
-0.08668738603591919,
0.04228032007813454,
0.026654988527297974,
-0.005587844178080559,
0.08736567944288254,
0.03959576040506363,
0.013793750666081905,
0.032719485461711884,
-0.001091168960556388,
0.003995637875050306,
-0.06093566492199898,
-0.05509922653436661,
-0.02699781209230423,
0.006822574883699417,
0.03434097394347191,
0.03201978653669357,
0.01371060125529766,
0.031936727464199066,
-0.06026469171047211,
0.06356517970561981,
-0.01549371425062418,
0.04765503853559494,
0.05408720299601555,
0.05035162344574928,
-0.02846803516149521,
0.11541067808866501,
0.011175820603966713,
-0.027282996103167534,
-0.04131288081407547,
-0.044320207089185715,
-0.0009479536674916744,
-0.04208796098828316,
-0.07621564716100693,
0.026884742081165314,
0.06558449566364288,
0.026979386806488037,
0.036370765417814255,
0.01359508279711008,
-0.0055476948618888855,
-0.02693062461912632,
0.015274773351848125,
0.05367163568735123,
0.0028734561055898666,
0.08651726692914963,
-0.007359616924077272,
0.0468732975423336,
-0.10172026604413986,
-0.05421733856201172,
-0.05248416215181351,
-0.003985085058957338,
0.014191935770213604,
-0.02337983250617981,
-0.04237562417984009,
0.00048674122081138194,
-0.030885392799973488,
-0.05630876123905182,
-0.02056041918694973,
0.004624520428478718,
0.041769493371248245,
-0.023619486019015312,
0.02325328439474106,
0.00031456377473659813,
0.017063060775399208,
0.01776016876101494,
0.0382489413022995,
-0.004899904131889343,
0.05916412174701691,
-0.004342848435044289,
0.02609327994287014,
0.036182701587677,
-0.06388363987207413,
-0.08963529765605927,
0.01959574967622757,
-0.0174715518951416,
-0.06011795625090599,
-0.03800437971949577,
-0.0007722983718849719,
0.05190528556704521,
0.023585744202136993,
-0.06242375448346138,
0.0005089732585474849,
-0.07169941812753677,
-0.030252011492848396,
0.08526143431663513,
-0.005887230392545462,
-0.05821264162659645,
-0.00003019688301719725,
0.02923377975821495,
0.11776358634233475,
-0.031368132680654526,
0.04065993055701256,
-0.0132607975974679,
0.02120932750403881,
4.106165601947396e-33,
-0.01943211257457733,
0.03996850550174713,
0.022955700755119324,
0.0008353249868378043,
0.007537842262536287,
0.0182627085596323,
-0.061822064220905304,
0.09168512374162674,
0.09333588182926178,
0.008094524033367634,
0.028127171099185944,
0.06981999427080154,
0.020692525431513786,
0.04974815249443054,
-0.04677003249526024,
-0.0024278543423861265,
-0.005131117533892393,
-0.038974579423666,
-0.001367702498100698,
-0.03321904316544533,
0.009442377835512161,
-0.01036867219954729,
0.02641831897199154,
-0.09654075652360916,
-0.02124749682843685,
-0.004641372244805098,
0.03729371726512909,
-0.06218509376049042,
-0.041605379432439804,
0.03202102705836296,
0.029409319162368774,
0.022046728059649467,
-0.025329802185297012,
0.025603609159588814,
0.07238707691431046,
0.0009957485599443316,
0.03104674443602562,
0.000046481112804031,
0.023559462279081345,
0.08211291581392288,
0.06492432206869125,
-0.07097603380680084,
-0.02612663432955742,
0.03995714336633682,
0.07601051777601242,
-0.08868937939405441,
0.030850175768136978,
-0.025524254888296127,
0.01164131611585617,
-0.02516028843820095,
-0.01229899562895298,
-0.12148746103048325,
-0.047904323786497116,
0.0038848400581628084,
0.0647784173488617,
0.027237383648753166,
-0.029278969392180443,
0.07081833481788635,
-0.05366678163409233,
-0.01796524040400982,
0.04155968129634857,
-0.008206652477383614,
-0.0019294752273708582,
-0.04079549014568329,
-0.024259233847260475,
-0.014401360414922237,
0.004382960963994265,
-0.06561888009309769,
-0.0348755307495594,
0.029479369521141052,
0.08052767813205719,
0.08497672528028488,
-0.008463156409561634,
0.007066292688250542,
0.04357502982020378,
-0.04921281710267067,
0.0045417072251439095,
0.10649625211954117,
0.07364564388990402,
0.02641596645116806,
-0.009560830891132355,
-0.08024156093597412,
-0.011637760326266289,
-0.001999719999730587,
0.037488050758838654,
0.003713706973940134,
0.06332972645759583,
-0.12306047230958939,
-0.04030170291662216,
-0.012107253074645996,
0.016794400289654732,
0.08174680173397064,
-0.014990119263529778,
0.01381553802639246,
0.035522159188985825,
-4.638767765967574e-33,
-0.007625435013324022,
-0.029627280309796333,
-0.09705162048339844,
-0.02979291044175625,
-0.042362481355667114,
0.0305483415722847,
0.07502397149801254,
0.10307484120130539,
-0.01646212488412857,
0.05285055935382843,
0.04935510829091072,
-0.033823397010564804,
-0.0343431755900383,
-0.04722290113568306,
-0.0687311515212059,
0.03259360417723656,
0.10783263295888901,
-0.0082025658339262,
0.07575521618127823,
-0.03955433517694473,
-0.009755581617355347,
0.031310826539993286,
0.08285684883594513,
0.004535152111202478,
0.05082544684410095,
-0.049187999218702316,
0.09861995279788971,
0.05491690710186958,
0.024595076218247414,
0.04779116064310074,
-0.004843135364353657,
0.0775611400604248,
0.09388980269432068,
0.061622217297554016,
0.004447101149708033,
0.08193082362413406,
0.010623065754771233,
-0.03536449000239372,
-0.0033093325328081846,
-0.018779601901769638,
0.006836732849478722,
0.028587058186531067,
0.1418224424123764,
-0.03419393301010132,
-0.06807549297809601,
-0.01981237158179283,
-0.08092565834522247,
0.14579150080680847,
-0.039002034813165665,
-0.013849745504558086,
-0.008747827261686325,
-0.14409711956977844,
0.01031978614628315,
-0.004491713363677263,
0.013942473568022251,
-0.033117979764938354,
0.05787386745214462,
-0.011611863039433956,
0.0765625610947609,
0.09502305835485458,
-0.01615694724023342,
-0.05013550445437431,
-0.011278189718723297,
-0.0921291783452034,
-0.04217036813497543,
0.020621271803975105,
-0.029486220329999924,
-0.06291845440864563,
-0.030612824484705925,
-0.0118715176358819,
0.0711275041103363,
0.002587252762168646,
0.009211980737745762,
-0.08130234479904175,
-0.048157308250665665,
0.047737378627061844,
0.07023992389440536,
0.09182973951101303,
-0.07005898654460907,
-0.06467309594154358,
0.01858421415090561,
-0.00407838262617588,
-0.07211481034755707,
-0.06065772846341133,
-0.015729868784546852,
0.00860467366874218,
-0.10949096083641052,
-0.04272884875535965,
-0.08236876130104065,
0.05224939435720444,
0.031163956969976425,
-0.014844794757664204,
-0.007994841784238815,
0.019019998610019684,
0.11521496623754501,
-4.2791604926151194e-8,
-0.000817299704067409,
0.08314868062734604,
0.06524795293807983,
-0.020449280738830566,
0.02079257182776928,
-0.0588906966149807,
0.02334086410701275,
-0.03508086875081062,
0.00928065087646246,
-0.08011399209499359,
-0.019852658733725548,
0.05880534276366234,
0.040739353746175766,
0.008026638068258762,
-0.005760244559496641,
0.03626648336648941,
-0.04991333186626434,
-0.051634084433317184,
0.035096313804388046,
0.03998316451907158,
-0.028112659230828285,
-0.07750022411346436,
0.07270949333906174,
-0.0023070110473781824,
0.06166552007198334,
0.07790285348892212,
0.0030521636363118887,
-0.06967469304800034,
0.030573254451155663,
0.015635903924703598,
-0.07259337604045868,
-0.003081581089645624,
-0.010703342035412788,
0.07971012592315674,
-0.10060714930295944,
-0.04059214890003204,
-0.03103758953511715,
-0.0363151915371418,
-0.039414387196302414,
-0.027735838666558266,
0.007881118915975094,
-0.003969388548284769,
-0.12292199581861496,
-0.012932994402945042,
-0.03538905084133148,
-0.0218832865357399,
0.03149750083684921,
0.08466258645057678,
-0.05244721472263336,
-0.012808723375201225,
-0.011849887669086456,
-0.03168129920959473,
0.07983753830194473,
-0.07461296766996384,
0.006272855214774609,
0.04719776287674904,
-0.020226027816534042,
-0.06775002926588058,
-0.04604244604706764,
0.024669090285897255,
-0.05699806287884712,
0.06762126088142395,
-0.0038219247944653034,
-0.01109796017408371
] |
1401.0245 | Sujit Gath | S.J Gath and R.V Kulkarni | A Review: Expert System for Diagnosis of Myocardial Infarction | 7 pages. arXiv admin note: text overlap with arXiv:1006.4544 by other
authors | null | null | null | cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A computer Program Capable of performing at a human-expert level in a narrow
problem domain area is called an expert system. Management of uncertainty is an
intrinsically important issue in the design of expert systems because much of
the information in the knowledge base of a typical expert system is imprecise,
incomplete or not totally reliable. In this paper, the author present s the
review of past work that has been carried out by various researchers based on
development of expert systems for the diagnosis of cardiac disease
| [
{
"created": "Wed, 1 Jan 2014 03:59:22 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Gath",
"S. J",
""
],
[
"Kulkarni",
"R. V",
""
]
] | [
0.016659440472722054,
0.06143384799361229,
-0.022798903286457062,
-0.0024606683291494846,
-0.06840081512928009,
-0.11205565184354782,
0.04632676765322685,
0.11842482537031174,
-0.07236505299806595,
-0.004567162599414587,
-0.028866464272141457,
-0.028357259929180145,
0.13458020985126495,
0.05595282465219498,
-0.08488557487726212,
0.0010868390090763569,
-0.04569525271654129,
-0.045889243483543396,
-0.0472492054104805,
-0.0006377975805662572,
-0.057405564934015274,
0.011985168792307377,
-0.07663710415363312,
0.027301125228405,
-0.04096844047307968,
0.026143569499254227,
0.01626184768974781,
-0.06605014204978943,
-0.042786914855241776,
0.01103709265589714,
0.04046738147735596,
-0.025680016726255417,
0.11365465819835663,
-0.02684064768254757,
-0.0025764459278434515,
0.028550835326313972,
-0.036623891443014145,
0.08186326175928116,
-0.02542952261865139,
0.04616736248135567,
-0.03496943786740303,
-0.007449284661561251,
0.047067176550626755,
0.05785277858376503,
0.06119934841990471,
0.1004326120018959,
-0.10356605798006058,
0.017062367871403694,
0.04916434735059738,
0.031815338879823685,
-0.1511772871017456,
-0.0967928096652031,
0.04314817488193512,
-0.06450919061899185,
-0.007572275586426258,
0.045367952436208725,
-0.0309987124055624,
-0.04459669068455696,
-0.09772171825170517,
-0.08512245863676071,
-0.013844734989106655,
0.017555484548211098,
-0.06297503411769867,
-0.03851325437426567,
0.054212071001529694,
0.0381644107401371,
-0.0022851130925118923,
0.02140904776751995,
0.08703257888555527,
-0.02156657539308071,
-0.0028781010769307613,
0.07431334257125854,
-0.03696383535861969,
0.09451623260974884,
-0.027732249349355698,
-0.02479468658566475,
-0.03688379377126694,
-0.002689298242330551,
0.0032840718049556017,
0.02151593565940857,
-0.015740280970931053,
-0.008752481080591679,
-0.03861173987388611,
-0.004024903755635023,
0.06567619740962982,
0.014386049471795559,
-0.07899342477321625,
0.07028284668922424,
-0.02592667005956173,
-0.029483631253242493,
0.021391844376921654,
-0.13205374777317047,
0.11166130751371384,
-0.00044266870827414095,
0.026102032512426376,
0.07605428248643875,
0.060575298964977264,
-0.03585316240787506,
-0.022268330678343773,
0.03873509541153908,
-0.05479798465967178,
-0.10030999034643173,
-0.009593147784471512,
0.002254026010632515,
0.011053338646888733,
-0.027191001921892166,
0.023366445675492287,
-0.0011123482836410403,
0.08779418468475342,
-0.08322824537754059,
-0.014618273824453354,
-0.039660338312387466,
-0.01205999031662941,
-0.08467630296945572,
0.01751343533396721,
0.0745839774608612,
-0.03179296478629112,
0.04265357181429863,
-0.013667508028447628,
0.05942515656352043,
-0.02174479514360428,
-0.015741528943181038,
0.06164255738258362,
-0.013999625109136105,
0.09385202825069427,
0.06207725778222084,
-0.015312209725379944,
1.854244992796231e-33,
-0.043643221259117126,
0.0007070265128277242,
0.03349187970161438,
0.0720047727227211,
0.006422291975468397,
-0.0390181802213192,
-0.007206415291875601,
-0.04666699841618538,
0.055349670350551605,
-0.03006257675588131,
-0.002916292753070593,
0.019982168450951576,
0.004208792001008987,
-0.034559398889541626,
0.026317337527871132,
-0.0006110080284997821,
0.019447263330221176,
0.022157665342092514,
-0.051399871706962585,
-0.0016671970952302217,
0.0473625585436821,
-0.05973611772060394,
-0.006238692440092564,
-0.013789943419396877,
-0.0432858020067215,
0.002814752282574773,
0.02581857331097126,
0.031079405918717384,
0.09254078567028046,
-0.02976282127201557,
-0.04886879771947861,
-0.03999890759587288,
0.025937560945749283,
-0.07215818017721176,
0.04709187150001526,
-0.00875159166753292,
0.02248050644993782,
0.03231259435415268,
0.020484138280153275,
0.04064757004380226,
0.008072581142187119,
-0.01760401390492916,
0.02071838453412056,
-0.016488846391439438,
0.02885277383029461,
0.018409112468361855,
0.03601153567433357,
-0.020849911496043205,
-0.01245917845517397,
0.004289469216018915,
0.01842835359275341,
-0.010402336716651917,
0.09819549322128296,
0.010202019475400448,
0.03085670806467533,
0.01158996019512415,
0.007740402594208717,
0.011727754957973957,
0.008495906367897987,
-0.017480656504631042,
0.0060322959907352924,
0.04674716666340828,
0.06595651060342789,
-0.006531537976115942,
-0.0011604239698499441,
0.031112629920244217,
-0.03130536898970604,
-0.03629665449261665,
0.04415840283036232,
0.03944205865263939,
-0.056792858988046646,
-0.021423937752842903,
0.028492968529462814,
-0.00708180945366621,
-0.04876421391963959,
0.03651397302746773,
-0.07724692672491074,
0.07057783752679825,
-0.0607198067009449,
-0.08513351529836655,
-0.0871974304318428,
0.03290606662631035,
-0.024754757061600685,
-0.028448810800909996,
0.045189496129751205,
-0.03039357252418995,
-0.0022274020593613386,
0.04197641462087631,
-0.0771874412894249,
0.01965825818479061,
-0.02888678014278412,
0.07656700164079666,
0.027229217812418938,
0.06989328563213348,
0.013582847081124783,
-3.148116767534108e-33,
-0.10020381957292557,
0.030366085469722748,
-0.0012121627805754542,
-0.03068251721560955,
0.054447755217552185,
-0.01635577157139778,
-0.03225494176149368,
-0.011260461993515491,
0.025145309045910835,
-0.007975057698786259,
0.00866429042071104,
0.013505098409950733,
0.010461334139108658,
0.03401491791009903,
-0.013486954383552074,
0.13619364798069,
-0.10599347203969955,
-0.010494214482605457,
0.013660659082233906,
0.03425021097064018,
-0.09473242610692978,
-0.03463747352361679,
-0.116975799202919,
0.03891218081116676,
-0.01837390661239624,
0.07013659924268723,
-0.02534308098256588,
-0.007350144907832146,
0.009235251694917679,
-0.06667380779981613,
-0.037892866879701614,
-0.056532908231019974,
-0.06492436677217484,
0.04042387008666992,
0.009866449050605297,
0.007307178806513548,
-0.0235012024641037,
0.0390947088599205,
-0.007297254167497158,
-0.001890349667519331,
0.004749090876430273,
0.03782663494348526,
-0.0569855198264122,
-0.07286158949136734,
-0.010262899100780487,
-0.03895874693989754,
-0.003478406695649028,
-0.0587443970143795,
0.020770374685525894,
-0.013753661885857582,
-0.01778521202504635,
-0.08499929308891296,
-0.001765162800438702,
-0.037502702325582504,
-0.06851934641599655,
0.030471961945295334,
-0.0013874223222956061,
0.08211573958396912,
0.012674604542553425,
0.025112342089414597,
-0.029758576303720474,
-0.11881273984909058,
0.01974732056260109,
0.04788673669099808,
0.009469653479754925,
0.08531705290079117,
-0.02460048906505108,
0.07588723301887512,
0.007963180541992188,
0.031594496220350266,
-0.015086825005710125,
0.031007880344986916,
-0.06138765811920166,
0.02007664553821087,
0.061378929764032364,
0.019229836761951447,
-0.03501829504966736,
-0.009520528838038445,
0.005769739393144846,
-0.08330970257520676,
0.028452057391405106,
-0.05803539976477623,
0.046099741011857986,
-0.001982081914320588,
-0.04322082921862602,
0.07926122099161148,
0.06758983433246613,
-0.03606165573000908,
0.008401776663959026,
-0.044051893055438995,
0.005834364797919989,
0.0021273905877023935,
0.005576884839683771,
-0.024852748960256577,
-0.059991855174303055,
-4.0973752390982554e-8,
-0.08431591838598251,
-0.046631522476673126,
-0.00430523743852973,
-0.016218412667512894,
0.016536112874746323,
-0.02630487270653248,
-0.07995934784412384,
-0.024641038849949837,
-0.05208931863307953,
0.007909492589533329,
0.045170318335294724,
-0.035500168800354004,
-0.014949770644307137,
-0.04575422406196594,
0.04941161349415779,
-0.043713200837373734,
-0.031191924586892128,
0.16098494827747345,
-0.04582059383392334,
-0.06743130832910538,
0.21356287598609924,
-0.04890264943242073,
0.01206672191619873,
0.06222347915172577,
0.0693967342376709,
-0.045020945370197296,
-0.022278212010860443,
0.058909714221954346,
-0.018491974100470543,
0.0762685239315033,
-0.007141026668250561,
-0.006891697645187378,
0.07948977500200272,
0.09283089637756348,
0.14113131165504456,
-0.016695158556103706,
0.07840903848409653,
-0.07772425562143326,
-0.08036179095506668,
-0.0456288605928421,
-0.01640263944864273,
-0.021401768550276756,
-0.05806514993309975,
0.0355406254529953,
0.0465206503868103,
-0.07670991867780685,
0.11832295358181,
-0.027783185243606567,
0.06950098276138306,
0.013480228371918201,
-0.0001292114466195926,
0.02588815987110138,
-0.03143889456987381,
0.03812595456838608,
0.054400522261857986,
0.009533670730888844,
0.04556717351078987,
0.01643729954957962,
-0.029941337183117867,
-0.04199204966425896,
0.02832607552409172,
0.09614378213882446,
0.011664528399705887,
0.054064590483903885
] | null | null | null | null | null | null | null | [
0.016659440472722054,
0.06143384799361229,
-0.022798903286457062,
-0.0024606683291494846,
-0.06840081512928009,
-0.11205565184354782,
0.04632676765322685,
0.11842482537031174,
-0.07236505299806595,
-0.004567162599414587,
-0.028866464272141457,
-0.028357259929180145,
0.13458020985126495,
0.05595282465219498,
-0.08488557487726212,
0.0010868390090763569,
-0.04569525271654129,
-0.045889243483543396,
-0.0472492054104805,
-0.0006377975805662572,
-0.057405564934015274,
0.011985168792307377,
-0.07663710415363312,
0.027301125228405,
-0.04096844047307968,
0.026143569499254227,
0.01626184768974781,
-0.06605014204978943,
-0.042786914855241776,
0.01103709265589714,
0.04046738147735596,
-0.025680016726255417,
0.11365465819835663,
-0.02684064768254757,
-0.0025764459278434515,
0.028550835326313972,
-0.036623891443014145,
0.08186326175928116,
-0.02542952261865139,
0.04616736248135567,
-0.03496943786740303,
-0.007449284661561251,
0.047067176550626755,
0.05785277858376503,
0.06119934841990471,
0.1004326120018959,
-0.10356605798006058,
0.017062367871403694,
0.04916434735059738,
0.031815338879823685,
-0.1511772871017456,
-0.0967928096652031,
0.04314817488193512,
-0.06450919061899185,
-0.007572275586426258,
0.045367952436208725,
-0.0309987124055624,
-0.04459669068455696,
-0.09772171825170517,
-0.08512245863676071,
-0.013844734989106655,
0.017555484548211098,
-0.06297503411769867,
-0.03851325437426567,
0.054212071001529694,
0.0381644107401371,
-0.0022851130925118923,
0.02140904776751995,
0.08703257888555527,
-0.02156657539308071,
-0.0028781010769307613,
0.07431334257125854,
-0.03696383535861969,
0.09451623260974884,
-0.027732249349355698,
-0.02479468658566475,
-0.03688379377126694,
-0.002689298242330551,
0.0032840718049556017,
0.02151593565940857,
-0.015740280970931053,
-0.008752481080591679,
-0.03861173987388611,
-0.004024903755635023,
0.06567619740962982,
0.014386049471795559,
-0.07899342477321625,
0.07028284668922424,
-0.02592667005956173,
-0.029483631253242493,
0.021391844376921654,
-0.13205374777317047,
0.11166130751371384,
-0.00044266870827414095,
0.026102032512426376,
0.07605428248643875,
0.060575298964977264,
-0.03585316240787506,
-0.022268330678343773,
0.03873509541153908,
-0.05479798465967178,
-0.10030999034643173,
-0.009593147784471512,
0.002254026010632515,
0.011053338646888733,
-0.027191001921892166,
0.023366445675492287,
-0.0011123482836410403,
0.08779418468475342,
-0.08322824537754059,
-0.014618273824453354,
-0.039660338312387466,
-0.01205999031662941,
-0.08467630296945572,
0.01751343533396721,
0.0745839774608612,
-0.03179296478629112,
0.04265357181429863,
-0.013667508028447628,
0.05942515656352043,
-0.02174479514360428,
-0.015741528943181038,
0.06164255738258362,
-0.013999625109136105,
0.09385202825069427,
0.06207725778222084,
-0.015312209725379944,
1.854244992796231e-33,
-0.043643221259117126,
0.0007070265128277242,
0.03349187970161438,
0.0720047727227211,
0.006422291975468397,
-0.0390181802213192,
-0.007206415291875601,
-0.04666699841618538,
0.055349670350551605,
-0.03006257675588131,
-0.002916292753070593,
0.019982168450951576,
0.004208792001008987,
-0.034559398889541626,
0.026317337527871132,
-0.0006110080284997821,
0.019447263330221176,
0.022157665342092514,
-0.051399871706962585,
-0.0016671970952302217,
0.0473625585436821,
-0.05973611772060394,
-0.006238692440092564,
-0.013789943419396877,
-0.0432858020067215,
0.002814752282574773,
0.02581857331097126,
0.031079405918717384,
0.09254078567028046,
-0.02976282127201557,
-0.04886879771947861,
-0.03999890759587288,
0.025937560945749283,
-0.07215818017721176,
0.04709187150001526,
-0.00875159166753292,
0.02248050644993782,
0.03231259435415268,
0.020484138280153275,
0.04064757004380226,
0.008072581142187119,
-0.01760401390492916,
0.02071838453412056,
-0.016488846391439438,
0.02885277383029461,
0.018409112468361855,
0.03601153567433357,
-0.020849911496043205,
-0.01245917845517397,
0.004289469216018915,
0.01842835359275341,
-0.010402336716651917,
0.09819549322128296,
0.010202019475400448,
0.03085670806467533,
0.01158996019512415,
0.007740402594208717,
0.011727754957973957,
0.008495906367897987,
-0.017480656504631042,
0.0060322959907352924,
0.04674716666340828,
0.06595651060342789,
-0.006531537976115942,
-0.0011604239698499441,
0.031112629920244217,
-0.03130536898970604,
-0.03629665449261665,
0.04415840283036232,
0.03944205865263939,
-0.056792858988046646,
-0.021423937752842903,
0.028492968529462814,
-0.00708180945366621,
-0.04876421391963959,
0.03651397302746773,
-0.07724692672491074,
0.07057783752679825,
-0.0607198067009449,
-0.08513351529836655,
-0.0871974304318428,
0.03290606662631035,
-0.024754757061600685,
-0.028448810800909996,
0.045189496129751205,
-0.03039357252418995,
-0.0022274020593613386,
0.04197641462087631,
-0.0771874412894249,
0.01965825818479061,
-0.02888678014278412,
0.07656700164079666,
0.027229217812418938,
0.06989328563213348,
0.013582847081124783,
-3.148116767534108e-33,
-0.10020381957292557,
0.030366085469722748,
-0.0012121627805754542,
-0.03068251721560955,
0.054447755217552185,
-0.01635577157139778,
-0.03225494176149368,
-0.011260461993515491,
0.025145309045910835,
-0.007975057698786259,
0.00866429042071104,
0.013505098409950733,
0.010461334139108658,
0.03401491791009903,
-0.013486954383552074,
0.13619364798069,
-0.10599347203969955,
-0.010494214482605457,
0.013660659082233906,
0.03425021097064018,
-0.09473242610692978,
-0.03463747352361679,
-0.116975799202919,
0.03891218081116676,
-0.01837390661239624,
0.07013659924268723,
-0.02534308098256588,
-0.007350144907832146,
0.009235251694917679,
-0.06667380779981613,
-0.037892866879701614,
-0.056532908231019974,
-0.06492436677217484,
0.04042387008666992,
0.009866449050605297,
0.007307178806513548,
-0.0235012024641037,
0.0390947088599205,
-0.007297254167497158,
-0.001890349667519331,
0.004749090876430273,
0.03782663494348526,
-0.0569855198264122,
-0.07286158949136734,
-0.010262899100780487,
-0.03895874693989754,
-0.003478406695649028,
-0.0587443970143795,
0.020770374685525894,
-0.013753661885857582,
-0.01778521202504635,
-0.08499929308891296,
-0.001765162800438702,
-0.037502702325582504,
-0.06851934641599655,
0.030471961945295334,
-0.0013874223222956061,
0.08211573958396912,
0.012674604542553425,
0.025112342089414597,
-0.029758576303720474,
-0.11881273984909058,
0.01974732056260109,
0.04788673669099808,
0.009469653479754925,
0.08531705290079117,
-0.02460048906505108,
0.07588723301887512,
0.007963180541992188,
0.031594496220350266,
-0.015086825005710125,
0.031007880344986916,
-0.06138765811920166,
0.02007664553821087,
0.061378929764032364,
0.019229836761951447,
-0.03501829504966736,
-0.009520528838038445,
0.005769739393144846,
-0.08330970257520676,
0.028452057391405106,
-0.05803539976477623,
0.046099741011857986,
-0.001982081914320588,
-0.04322082921862602,
0.07926122099161148,
0.06758983433246613,
-0.03606165573000908,
0.008401776663959026,
-0.044051893055438995,
0.005834364797919989,
0.0021273905877023935,
0.005576884839683771,
-0.024852748960256577,
-0.059991855174303055,
-4.0973752390982554e-8,
-0.08431591838598251,
-0.046631522476673126,
-0.00430523743852973,
-0.016218412667512894,
0.016536112874746323,
-0.02630487270653248,
-0.07995934784412384,
-0.024641038849949837,
-0.05208931863307953,
0.007909492589533329,
0.045170318335294724,
-0.035500168800354004,
-0.014949770644307137,
-0.04575422406196594,
0.04941161349415779,
-0.043713200837373734,
-0.031191924586892128,
0.16098494827747345,
-0.04582059383392334,
-0.06743130832910538,
0.21356287598609924,
-0.04890264943242073,
0.01206672191619873,
0.06222347915172577,
0.0693967342376709,
-0.045020945370197296,
-0.022278212010860443,
0.058909714221954346,
-0.018491974100470543,
0.0762685239315033,
-0.007141026668250561,
-0.006891697645187378,
0.07948977500200272,
0.09283089637756348,
0.14113131165504456,
-0.016695158556103706,
0.07840903848409653,
-0.07772425562143326,
-0.08036179095506668,
-0.0456288605928421,
-0.01640263944864273,
-0.021401768550276756,
-0.05806514993309975,
0.0355406254529953,
0.0465206503868103,
-0.07670991867780685,
0.11832295358181,
-0.027783185243606567,
0.06950098276138306,
0.013480228371918201,
-0.0001292114466195926,
0.02588815987110138,
-0.03143889456987381,
0.03812595456838608,
0.054400522261857986,
0.009533670730888844,
0.04556717351078987,
0.01643729954957962,
-0.029941337183117867,
-0.04199204966425896,
0.02832607552409172,
0.09614378213882446,
0.011664528399705887,
0.054064590483903885
] |
1401.0247 | Yingyu Liang | Maria-Florina Balcan, Yingyu Liang, Pramod Gupta | Robust Hierarchical Clustering | 37 pages | null | null | null | cs.LG cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the most widely used techniques for data clustering is agglomerative
clustering. Such algorithms have been long used across many different fields
ranging from computational biology to social sciences to computer vision in
part because their output is easy to interpret. Unfortunately, it is well
known, however, that many of the classic agglomerative clustering algorithms
are not robust to noise. In this paper we propose and analyze a new robust
algorithm for bottom-up agglomerative clustering. We show that our algorithm
can be used to cluster accurately in cases where the data satisfies a number of
natural properties and where the traditional agglomerative algorithms fail. We
also show how to adapt our algorithm to the inductive setting where our given
data is only a small random sample of the entire data set. Experimental
evaluations on synthetic and real world data sets show that our algorithm
achieves better performance than other hierarchical algorithms in the presence
of noise.
| [
{
"created": "Wed, 1 Jan 2014 04:16:21 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jul 2014 01:51:05 GMT",
"version": "v2"
}
] | 2014-07-15 | [
[
"Balcan",
"Maria-Florina",
""
],
[
"Liang",
"Yingyu",
""
],
[
"Gupta",
"Pramod",
""
]
] | [
-0.06357288360595703,
-0.04720552638173103,
0.05027145892381668,
0.014669502153992653,
0.07136430591344833,
-0.07407565414905548,
0.017979592084884644,
-0.031267017126083374,
0.0005195413250476122,
-0.09129162132740021,
-0.0571073517203331,
-0.056983210146427155,
0.06956258416175842,
0.039760034531354904,
-0.09234367311000824,
0.04494505375623703,
0.09798077493906021,
0.06361459195613861,
-0.05809788778424263,
-0.08616670966148376,
-0.10354940593242645,
0.021722642704844475,
0.052636533975601196,
0.026132045313715935,
0.12832891941070557,
0.018904704600572586,
-0.002177148126065731,
-0.024218952283263206,
-0.02077711932361126,
0.0019292159704491496,
0.009943408891558647,
-0.008147642016410828,
0.054936908185482025,
-0.0013290870701894164,
0.01831698976457119,
0.01819133199751377,
0.025964858010411263,
0.11764266341924667,
-0.0028082432691007853,
0.02098013088107109,
0.01693705841898918,
0.02554367110133171,
0.04355962574481964,
-0.0335739329457283,
-0.0036970677319914103,
0.08491487056016922,
-0.06443477421998978,
-0.04578017815947533,
-0.057083189487457275,
0.008337014354765415,
-0.04379313066601753,
-0.057420697063207626,
-0.06223597005009651,
0.030887801200151443,
-0.014489669352769852,
0.012591750361025333,
0.06907382607460022,
-0.09233700484037399,
0.041683949530124664,
0.002813176019117236,
0.09958462417125702,
-0.060084037482738495,
-0.022607319056987762,
0.04128054156899452,
-0.011194455437362194,
0.016975263133645058,
0.08871055394411087,
0.022539597004652023,
0.019745202735066414,
-0.00015249689749907702,
0.04807159677147865,
0.09411083906888962,
-0.018748603761196136,
0.06170129030942917,
0.03631988540291786,
0.043664321303367615,
0.013376303017139435,
-0.02128402516245842,
0.08525775372982025,
-0.02553863264620304,
0.044800300151109695,
0.058772288262844086,
0.02294032648205757,
0.027328478172421455,
0.0747118890285492,
-0.017901800572872162,
0.013099314644932747,
0.011624270118772984,
-0.03583060950040817,
0.025338081642985344,
-0.12208123505115509,
0.009519509971141815,
-0.012582343071699142,
-0.04137081280350685,
-0.010816122405230999,
-0.014614267274737358,
0.06270302832126617,
-0.13066542148590088,
0.11014993488788605,
0.06884555518627167,
-0.09518533945083618,
0.03021877445280552,
0.10490532219409943,
-0.036564189940690994,
0.003676572348922491,
-0.018081149086356163,
0.04649103432893753,
-0.006175042130053043,
0.04695291444659233,
-0.014576086774468422,
-0.01863463968038559,
0.026494046673178673,
-0.019892200827598572,
0.047031983733177185,
-0.05995779111981392,
0.005990029778331518,
0.058422550559043884,
-0.020024245604872704,
0.010640028864145279,
-0.032963674515485764,
0.031721945852041245,
-0.051298413425683975,
0.04247136414051056,
0.07870042324066162,
0.09413934499025345,
-0.01346509251743555,
-0.0712064802646637,
2.4383980942297357e-33,
0.04935630410909653,
-0.06571900844573975,
0.11492361128330231,
-0.037202611565589905,
0.045728977769613266,
-0.044923730194568634,
-0.09596233814954758,
-0.05045069381594658,
-0.022896330803632736,
0.09157747775316238,
-0.010034305043518543,
0.0002462963166180998,
0.005973522551357746,
0.014401462860405445,
0.06321096420288086,
0.021883612498641014,
0.03310172259807587,
0.04091738164424896,
-0.08105815201997757,
-0.09267015755176544,
0.013540534302592278,
-0.03327611833810806,
0.023167381063103676,
-0.024784453213214874,
-0.04725479707121849,
0.001211720984429121,
0.04156695306301117,
-0.0460519902408123,
0.044939205050468445,
0.01956934668123722,
-0.003908824175596237,
0.008785848505795002,
-0.02575799822807312,
0.07010301947593689,
0.03361669182777405,
0.010131670162081718,
0.006837948691099882,
-0.07052402198314667,
0.05704069882631302,
0.04500037431716919,
0.02514241263270378,
0.08008777350187302,
0.08153039216995239,
-0.07116325199604034,
0.023274684324860573,
0.10032430291175842,
0.017337266355752945,
-0.028795108199119568,
-0.010913517326116562,
0.025224002078175545,
-0.004536439199000597,
-0.08920235931873322,
0.03548791632056236,
0.03714431822299957,
-0.0906929224729538,
0.06255965679883957,
-0.07437292486429214,
-0.0006342537235468626,
-0.009200824424624443,
-0.02964830957353115,
-0.0005421928944997489,
-0.03264011815190315,
-0.01803179457783699,
-0.030151767656207085,
-0.03491224721074104,
-0.03333412483334541,
-0.000832996389362961,
0.07552503794431686,
-0.007699016481637955,
0.08119276165962219,
0.022579943761229515,
0.07957492023706436,
-0.11780014634132385,
-0.015504143200814724,
0.012032420374453068,
0.026386568322777748,
0.07945172488689423,
0.05782301723957062,
-0.07018805295228958,
-0.007327748462557793,
-0.022336134687066078,
-0.02397071197628975,
-0.041328269988298416,
-0.04493806138634682,
-0.07182322442531586,
-0.03488272801041603,
0.00805096048861742,
0.013592061586678028,
-0.09090985357761383,
0.02693193592131138,
-0.13479869067668915,
-0.02515791915357113,
0.02250354178249836,
-0.012317245826125145,
-0.010447351261973381,
-3.2408889857529105e-33,
-0.04307366535067558,
-0.00302467355504632,
0.0459386371076107,
0.06664550304412842,
-0.009878451004624367,
-0.02869892492890358,
-0.03262878581881523,
0.025087447836995125,
0.04977981001138687,
0.04565122351050377,
-0.04769827798008919,
0.019385147839784622,
0.062064334750175476,
-0.04565137252211571,
-0.010411928407847881,
-0.06628790497779846,
0.007827073335647583,
0.03397746384143829,
-0.010797090828418732,
0.05071992054581642,
-0.012426705099642277,
0.042377471923828125,
-0.06369715183973312,
-0.03257766366004944,
-0.003733390476554632,
0.08122338354587555,
-0.1107223629951477,
0.03354215621948242,
-0.06846854835748672,
0.021932855248451233,
-0.051673438400030136,
0.10652206838130951,
-0.016727633774280548,
-0.07082663476467133,
-0.07992545515298843,
0.018122579902410507,
0.0069279298186302185,
-0.050222184509038925,
-0.046500008553266525,
-0.06377381086349487,
-0.049598079174757004,
0.0680631548166275,
-0.09655124694108963,
-0.0073247975669801235,
0.08637316524982452,
-0.08517678827047348,
-0.033102959394454956,
0.0027276964392513037,
-0.03097466379404068,
-0.013134296052157879,
-0.08072854578495026,
-0.01774059422314167,
-0.002678157761693001,
0.002017506631091237,
0.03264211118221283,
0.01098642684519291,
-0.01327418815344572,
-0.0016283963341265917,
-0.04089929908514023,
-0.03212086483836174,
-0.07746302336454391,
-0.0797787457704544,
-0.06526158004999161,
0.07204409688711166,
-0.06338368356227875,
-0.03391639515757561,
0.012299188412725925,
-0.014635121449828148,
-0.019380655139684677,
0.06872855126857758,
-0.0320621132850647,
0.03908751532435417,
-0.022764408960938454,
0.017204169183969498,
-0.025080904364585876,
-0.03250834345817566,
0.041092921048402786,
-0.05106021836400032,
0.033130429685115814,
-0.006080975756049156,
0.07444358617067337,
-0.08465097844600677,
0.04705999791622162,
0.04036172851920128,
0.07492353022098541,
0.05432011932134628,
0.017733203247189522,
0.04266193136572838,
0.03346727043390274,
0.004461793228983879,
-0.08334151655435562,
-0.015129976905882359,
-0.009620778262615204,
0.019477978348731995,
-0.07050862163305283,
-4.1457234090103157e-8,
-0.014343097805976868,
-0.008297816850244999,
-0.01752667874097824,
-0.06253866106271744,
-0.0058227116242051125,
-0.004640976432710886,
-0.020771892741322517,
0.1548841893672943,
-0.0506587028503418,
-0.08579976856708527,
0.01990421861410141,
-0.009835677221417427,
-0.02964712306857109,
-0.02112458273768425,
-0.01002223789691925,
0.03830235078930855,
0.00031284557189792395,
-0.00810664426535368,
-0.051329657435417175,
0.07980185747146606,
-0.12447524070739746,
0.03644249215722084,
-0.025002434849739075,
0.054000262171030045,
0.03646845370531082,
-0.08793120831251144,
0.05260932818055153,
0.009467078372836113,
0.01830865629017353,
-0.05622619763016701,
-0.0037794620729982853,
0.0028054744470864534,
0.025350002571940422,
0.047804687172174454,
0.002411950146779418,
0.03594039008021355,
-0.024987053126096725,
0.025384021922945976,
-0.039371129125356674,
-0.06522845476865768,
0.02738129161298275,
0.07957778871059418,
-0.007279837504029274,
-0.01605108566582203,
0.02800649218261242,
0.09301100671291351,
0.09593731164932251,
-0.032634854316711426,
0.028243085369467735,
-0.003414359875023365,
0.0021017841063439846,
-0.03360269218683243,
-0.05672166123986244,
0.021878790110349655,
0.011960320174694061,
-0.0032475769985467196,
-0.09088360518217087,
-0.04233741760253906,
0.1047467440366745,
0.01281325239688158,
0.019219987094402313,
-0.0635853037238121,
-0.008263995870947838,
-0.04672997444868088
] | null | null | null | null | null | null | null | [
-0.06357288360595703,
-0.04720552638173103,
0.05027145892381668,
0.014669502153992653,
0.07136430591344833,
-0.07407565414905548,
0.017979592084884644,
-0.031267017126083374,
0.0005195413250476122,
-0.09129162132740021,
-0.0571073517203331,
-0.056983210146427155,
0.06956258416175842,
0.039760034531354904,
-0.09234367311000824,
0.04494505375623703,
0.09798077493906021,
0.06361459195613861,
-0.05809788778424263,
-0.08616670966148376,
-0.10354940593242645,
0.021722642704844475,
0.052636533975601196,
0.026132045313715935,
0.12832891941070557,
0.018904704600572586,
-0.002177148126065731,
-0.024218952283263206,
-0.02077711932361126,
0.0019292159704491496,
0.009943408891558647,
-0.008147642016410828,
0.054936908185482025,
-0.0013290870701894164,
0.01831698976457119,
0.01819133199751377,
0.025964858010411263,
0.11764266341924667,
-0.0028082432691007853,
0.02098013088107109,
0.01693705841898918,
0.02554367110133171,
0.04355962574481964,
-0.0335739329457283,
-0.0036970677319914103,
0.08491487056016922,
-0.06443477421998978,
-0.04578017815947533,
-0.057083189487457275,
0.008337014354765415,
-0.04379313066601753,
-0.057420697063207626,
-0.06223597005009651,
0.030887801200151443,
-0.014489669352769852,
0.012591750361025333,
0.06907382607460022,
-0.09233700484037399,
0.041683949530124664,
0.002813176019117236,
0.09958462417125702,
-0.060084037482738495,
-0.022607319056987762,
0.04128054156899452,
-0.011194455437362194,
0.016975263133645058,
0.08871055394411087,
0.022539597004652023,
0.019745202735066414,
-0.00015249689749907702,
0.04807159677147865,
0.09411083906888962,
-0.018748603761196136,
0.06170129030942917,
0.03631988540291786,
0.043664321303367615,
0.013376303017139435,
-0.02128402516245842,
0.08525775372982025,
-0.02553863264620304,
0.044800300151109695,
0.058772288262844086,
0.02294032648205757,
0.027328478172421455,
0.0747118890285492,
-0.017901800572872162,
0.013099314644932747,
0.011624270118772984,
-0.03583060950040817,
0.025338081642985344,
-0.12208123505115509,
0.009519509971141815,
-0.012582343071699142,
-0.04137081280350685,
-0.010816122405230999,
-0.014614267274737358,
0.06270302832126617,
-0.13066542148590088,
0.11014993488788605,
0.06884555518627167,
-0.09518533945083618,
0.03021877445280552,
0.10490532219409943,
-0.036564189940690994,
0.003676572348922491,
-0.018081149086356163,
0.04649103432893753,
-0.006175042130053043,
0.04695291444659233,
-0.014576086774468422,
-0.01863463968038559,
0.026494046673178673,
-0.019892200827598572,
0.047031983733177185,
-0.05995779111981392,
0.005990029778331518,
0.058422550559043884,
-0.020024245604872704,
0.010640028864145279,
-0.032963674515485764,
0.031721945852041245,
-0.051298413425683975,
0.04247136414051056,
0.07870042324066162,
0.09413934499025345,
-0.01346509251743555,
-0.0712064802646637,
2.4383980942297357e-33,
0.04935630410909653,
-0.06571900844573975,
0.11492361128330231,
-0.037202611565589905,
0.045728977769613266,
-0.044923730194568634,
-0.09596233814954758,
-0.05045069381594658,
-0.022896330803632736,
0.09157747775316238,
-0.010034305043518543,
0.0002462963166180998,
0.005973522551357746,
0.014401462860405445,
0.06321096420288086,
0.021883612498641014,
0.03310172259807587,
0.04091738164424896,
-0.08105815201997757,
-0.09267015755176544,
0.013540534302592278,
-0.03327611833810806,
0.023167381063103676,
-0.024784453213214874,
-0.04725479707121849,
0.001211720984429121,
0.04156695306301117,
-0.0460519902408123,
0.044939205050468445,
0.01956934668123722,
-0.003908824175596237,
0.008785848505795002,
-0.02575799822807312,
0.07010301947593689,
0.03361669182777405,
0.010131670162081718,
0.006837948691099882,
-0.07052402198314667,
0.05704069882631302,
0.04500037431716919,
0.02514241263270378,
0.08008777350187302,
0.08153039216995239,
-0.07116325199604034,
0.023274684324860573,
0.10032430291175842,
0.017337266355752945,
-0.028795108199119568,
-0.010913517326116562,
0.025224002078175545,
-0.004536439199000597,
-0.08920235931873322,
0.03548791632056236,
0.03714431822299957,
-0.0906929224729538,
0.06255965679883957,
-0.07437292486429214,
-0.0006342537235468626,
-0.009200824424624443,
-0.02964830957353115,
-0.0005421928944997489,
-0.03264011815190315,
-0.01803179457783699,
-0.030151767656207085,
-0.03491224721074104,
-0.03333412483334541,
-0.000832996389362961,
0.07552503794431686,
-0.007699016481637955,
0.08119276165962219,
0.022579943761229515,
0.07957492023706436,
-0.11780014634132385,
-0.015504143200814724,
0.012032420374453068,
0.026386568322777748,
0.07945172488689423,
0.05782301723957062,
-0.07018805295228958,
-0.007327748462557793,
-0.022336134687066078,
-0.02397071197628975,
-0.041328269988298416,
-0.04493806138634682,
-0.07182322442531586,
-0.03488272801041603,
0.00805096048861742,
0.013592061586678028,
-0.09090985357761383,
0.02693193592131138,
-0.13479869067668915,
-0.02515791915357113,
0.02250354178249836,
-0.012317245826125145,
-0.010447351261973381,
-3.2408889857529105e-33,
-0.04307366535067558,
-0.00302467355504632,
0.0459386371076107,
0.06664550304412842,
-0.009878451004624367,
-0.02869892492890358,
-0.03262878581881523,
0.025087447836995125,
0.04977981001138687,
0.04565122351050377,
-0.04769827798008919,
0.019385147839784622,
0.062064334750175476,
-0.04565137252211571,
-0.010411928407847881,
-0.06628790497779846,
0.007827073335647583,
0.03397746384143829,
-0.010797090828418732,
0.05071992054581642,
-0.012426705099642277,
0.042377471923828125,
-0.06369715183973312,
-0.03257766366004944,
-0.003733390476554632,
0.08122338354587555,
-0.1107223629951477,
0.03354215621948242,
-0.06846854835748672,
0.021932855248451233,
-0.051673438400030136,
0.10652206838130951,
-0.016727633774280548,
-0.07082663476467133,
-0.07992545515298843,
0.018122579902410507,
0.0069279298186302185,
-0.050222184509038925,
-0.046500008553266525,
-0.06377381086349487,
-0.049598079174757004,
0.0680631548166275,
-0.09655124694108963,
-0.0073247975669801235,
0.08637316524982452,
-0.08517678827047348,
-0.033102959394454956,
0.0027276964392513037,
-0.03097466379404068,
-0.013134296052157879,
-0.08072854578495026,
-0.01774059422314167,
-0.002678157761693001,
0.002017506631091237,
0.03264211118221283,
0.01098642684519291,
-0.01327418815344572,
-0.0016283963341265917,
-0.04089929908514023,
-0.03212086483836174,
-0.07746302336454391,
-0.0797787457704544,
-0.06526158004999161,
0.07204409688711166,
-0.06338368356227875,
-0.03391639515757561,
0.012299188412725925,
-0.014635121449828148,
-0.019380655139684677,
0.06872855126857758,
-0.0320621132850647,
0.03908751532435417,
-0.022764408960938454,
0.017204169183969498,
-0.025080904364585876,
-0.03250834345817566,
0.041092921048402786,
-0.05106021836400032,
0.033130429685115814,
-0.006080975756049156,
0.07444358617067337,
-0.08465097844600677,
0.04705999791622162,
0.04036172851920128,
0.07492353022098541,
0.05432011932134628,
0.017733203247189522,
0.04266193136572838,
0.03346727043390274,
0.004461793228983879,
-0.08334151655435562,
-0.015129976905882359,
-0.009620778262615204,
0.019477978348731995,
-0.07050862163305283,
-4.1457234090103157e-8,
-0.014343097805976868,
-0.008297816850244999,
-0.01752667874097824,
-0.06253866106271744,
-0.0058227116242051125,
-0.004640976432710886,
-0.020771892741322517,
0.1548841893672943,
-0.0506587028503418,
-0.08579976856708527,
0.01990421861410141,
-0.009835677221417427,
-0.02964712306857109,
-0.02112458273768425,
-0.01002223789691925,
0.03830235078930855,
0.00031284557189792395,
-0.00810664426535368,
-0.051329657435417175,
0.07980185747146606,
-0.12447524070739746,
0.03644249215722084,
-0.025002434849739075,
0.054000262171030045,
0.03646845370531082,
-0.08793120831251144,
0.05260932818055153,
0.009467078372836113,
0.01830865629017353,
-0.05622619763016701,
-0.0037794620729982853,
0.0028054744470864534,
0.025350002571940422,
0.047804687172174454,
0.002411950146779418,
0.03594039008021355,
-0.024987053126096725,
0.025384021922945976,
-0.039371129125356674,
-0.06522845476865768,
0.02738129161298275,
0.07957778871059418,
-0.007279837504029274,
-0.01605108566582203,
0.02800649218261242,
0.09301100671291351,
0.09593731164932251,
-0.032634854316711426,
0.028243085369467735,
-0.003414359875023365,
0.0021017841063439846,
-0.03360269218683243,
-0.05672166123986244,
0.021878790110349655,
0.011960320174694061,
-0.0032475769985467196,
-0.09088360518217087,
-0.04233741760253906,
0.1047467440366745,
0.01281325239688158,
0.019219987094402313,
-0.0635853037238121,
-0.008263995870947838,
-0.04672997444868088
] |
1401.0248 | Evgeny Latkin | Evgeny Latkin | Twofold fast summation | All used tests and testing results available at author's Web site:
https://sites.google.com/site/yevgenylatkin/ | null | null | null | cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Debugging accumulation of floating-point errors is hard; ideally, computer
should track it automatically. Here we consider twofold approximation of an
exact real with value + error pair of floating-point numbers. Normally, value +
error sum is more accurate than value alone, so error can estimate deviation
between value and its exact target. Fast summation algorithm, that provides
twofold sum of x[1]+...+x[N] or dot product x[1]*y[1]+...+x[N]*y[N], can be
same fast as direct summation sometimes if leveraging processor underused
potential. This way, we can hit three goals: improve precision, track
inaccuracy, and do this with little if any loss in performance.
| [
{
"created": "Wed, 1 Jan 2014 04:25:16 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 03:35:24 GMT",
"version": "v2"
}
] | 2014-01-06 | [
[
"Latkin",
"Evgeny",
""
]
] | [
-0.0654587373137474,
0.008891231380403042,
-0.018005529418587685,
0.017262917011976242,
0.006616770755499601,
-0.09675424546003342,
0.024815041571855545,
0.00598228769376874,
0.00924009457230568,
-0.037930507212877274,
-0.06779972463846207,
-0.06642740964889526,
-0.003635131288319826,
-0.008342319168150425,
-0.0857391282916069,
-0.043906934559345245,
-0.04723377153277397,
0.14768989384174347,
0.031644854694604874,
-0.03752462938427925,
0.005111181177198887,
-0.04245377704501152,
-0.1105806902050972,
0.06172686442732811,
0.08769182860851288,
0.029849885031580925,
-0.055337853729724884,
-0.058110952377319336,
-0.015370393171906471,
-0.021696172654628754,
-0.004279591143131256,
0.02729615941643715,
0.05445285513997078,
-0.014726425521075726,
0.0037145360838621855,
-0.004053535405546427,
0.028531137853860855,
0.008736354298889637,
0.049229033291339874,
-0.031698305159807205,
0.010757450945675373,
0.03928035870194435,
0.05346553027629852,
0.03840905800461769,
0.0029424624517560005,
-0.06185249984264374,
0.032267604023218155,
0.0037283285055309534,
0.015355234034359455,
0.024390676990151405,
-0.03845441713929176,
0.14387737214565277,
0.018987542018294334,
0.0065074521116912365,
-0.035317130386829376,
-0.01712775230407715,
0.023180857300758362,
0.06852241605520248,
0.015777258202433586,
0.05355304479598999,
0.016730548813939095,
-0.023955682292580605,
0.04339255020022392,
-0.07060053199529648,
0.07208502292633057,
-0.009163707494735718,
0.07097415626049042,
0.0010224547004327178,
0.0352824404835701,
0.10018246620893478,
0.012866798788309097,
0.08231331408023834,
-0.06686443090438843,
0.0542241595685482,
-0.025471512228250504,
0.047602053731679916,
-0.06435906887054443,
-0.02394021488726139,
0.04662754014134407,
0.05089481547474861,
0.02214881032705307,
-0.036551181226968765,
0.016036344692111015,
-0.011251268908381462,
0.07579323649406433,
0.015443027950823307,
0.038827504962682724,
0.03987845778465271,
0.07789011299610138,
-0.023121943697333336,
-0.016156384721398354,
-0.04273918271064758,
0.0028946208767592907,
0.01815597154200077,
0.07626540958881378,
0.03147699683904648,
0.002646710490807891,
0.02333240583539009,
0.011685963720083237,
0.03151555731892586,
0.07006349414587021,
-0.011162555776536465,
0.0058619314804673195,
-0.07487151771783829,
0.04687535762786865,
-0.034565605223178864,
0.09622006863355637,
0.005157240200787783,
-0.029365507885813713,
-0.06369243562221527,
0.017636002972722054,
-0.06644348800182343,
-0.04300829768180847,
0.022957561537623405,
0.0605856217443943,
0.018826523795723915,
-0.01397645752876997,
-0.020663192495703697,
0.005376913119107485,
-0.06687118858098984,
-0.011990618892014027,
0.029620656743645668,
0.11827318370342255,
0.055633142590522766,
0.06347472220659256,
-0.00020309508545324206,
-0.10859747231006622,
7.765579433076997e-33,
-0.09298891574144363,
0.033397234976291656,
0.05283176153898239,
-0.036328960210084915,
-0.053776487708091736,
-0.022557523101568222,
-0.018768062815070152,
0.027538053691387177,
0.034733887761831284,
0.047437842935323715,
0.03634301573038101,
0.05046295374631882,
-0.02392829768359661,
-0.014198606833815575,
0.0964355617761612,
-0.03825888782739639,
0.02298211306333542,
-0.01072810497134924,
-0.04638711363077164,
0.00035053148167207837,
0.053969789296388626,
-0.11927594989538193,
-0.014442489482462406,
-0.03463410213589668,
0.018264692276716232,
0.04751107841730118,
-0.038889750838279724,
0.06864436715841293,
0.008015873841941357,
0.05125834047794342,
-0.0004828585952054709,
-0.03244982659816742,
-0.007796948309987783,
-0.026279553771018982,
0.053913261741399765,
-0.05892953276634216,
0.02393871545791626,
-0.06008325517177582,
0.030107662081718445,
0.049022573977708817,
-0.0300094336271286,
0.06297243386507034,
-0.032642435282468796,
-0.06309894472360611,
-0.03453456982970238,
0.01324981264770031,
-0.02199230156838894,
0.05182161182165146,
0.030926039442420006,
0.029845714569091797,
-0.04394577443599701,
0.04091635346412659,
-0.06391996145248413,
0.04101037606596947,
-0.0205710269510746,
-0.017012527212500572,
-0.009006203152239323,
-0.05132367089390755,
0.04869803786277771,
0.09937728196382523,
-0.053757715970277786,
0.016280531883239746,
-0.05845191329717636,
-0.04958455264568329,
-0.13345906138420105,
0.07137428224086761,
0.04601430892944336,
0.0325322225689888,
0.005383388604968786,
-0.0024411072954535484,
-0.04857322946190834,
-0.021067369729280472,
0.008199372328817844,
-0.030436832457780838,
0.04618828371167183,
-0.0476473905146122,
0.07128968089818954,
0.017680855467915535,
-0.057350900024175644,
-0.03871780261397362,
-0.00011053476191591471,
0.03117416799068451,
0.06287892162799835,
-0.060217682272195816,
-0.013370907865464687,
-0.035110604017972946,
-0.07869280129671097,
0.05560637265443802,
-0.10293438285589218,
-0.0018547087674960494,
-0.028053848072886467,
0.01677166111767292,
0.008743264712393284,
0.039637256413698196,
-0.08740217983722687,
-7.52539948858111e-33,
-0.1451081484556198,
-0.02234676107764244,
0.016197431832551956,
0.08939068019390106,
-0.043534789234399796,
-0.0449024997651577,
-0.003740133484825492,
-0.10009589791297913,
0.12403461337089539,
-0.06818659603595734,
-0.10594052821397781,
-0.045364443212747574,
-0.037410322576761246,
0.10892059653997421,
0.006853593047708273,
-0.00006123028288129717,
-0.03962317481637001,
0.0019095244351774454,
0.07974383234977722,
-0.003182117361575365,
0.07454434037208557,
0.010759871453046799,
0.05328018218278885,
-0.010715081356465816,
-0.06180302053689957,
0.06092583015561104,
0.008626275695860386,
-0.03982231765985489,
-0.018432509154081345,
-0.05117256939411163,
-0.006277571897953749,
0.027761537581682205,
-0.003887196071445942,
-0.017988353967666626,
0.03210648521780968,
-0.05311858281493187,
0.028722282499074936,
0.021247653290629387,
0.021133476868271828,
-0.06605560332536697,
0.09347940236330032,
0.015443220734596252,
0.031760454177856445,
-0.04226308688521385,
0.06418859213590622,
0.035086583346128464,
-0.02982676960527897,
0.008925970643758774,
0.026814879849553108,
0.054956380277872086,
0.004440965596586466,
-0.013256463222205639,
-0.05837108567357063,
0.04518919438123703,
-0.051574740558862686,
-0.0032650944776833057,
-0.061554837971925735,
0.09087168425321579,
-0.0003318909148219973,
-0.0012742135440930724,
-0.1599900722503662,
-0.06903998553752899,
-0.04278647154569626,
0.018618088215589523,
-0.003732856595888734,
0.03663352131843567,
-0.00759656447917223,
-0.049879271537065506,
0.02320692129433155,
-0.004354191478341818,
0.02802618034183979,
0.040666159242391586,
-0.03248772397637367,
0.04034345969557762,
-0.10370969027280807,
-0.023665301501750946,
-0.013681824319064617,
-0.0432637520134449,
0.060775622725486755,
0.011104146018624306,
0.026178549975156784,
0.03519177436828613,
0.04954400286078453,
-0.0753985047340393,
-0.044015537947416306,
0.07442741096019745,
-0.039477910846471786,
0.03092203103005886,
-0.02552657201886177,
0.0025470457039773464,
-0.068111352622509,
0.03693743795156479,
-0.04742327705025673,
-0.06815297156572342,
-0.052566539496183395,
-5.7818130727582684e-8,
0.007118022534996271,
-0.016723135486245155,
0.021351855248212814,
-0.046389754861593246,
0.07010209560394287,
-0.0013691330095753074,
-0.05274967849254608,
0.05599673464894295,
0.015553448349237442,
-0.09417445212602615,
0.0122856879606843,
-0.05789642781019211,
-0.031795915216207504,
-0.017000174149870872,
0.018115708604454994,
0.0322912372648716,
-0.022428669035434723,
-0.016990553587675095,
-0.04594852775335312,
-0.05514145269989967,
0.03887679800391197,
0.03620116040110588,
0.049495626240968704,
-0.005001707002520561,
-0.0873158723115921,
-0.0028003219049423933,
0.027600256726145744,
0.10983891785144806,
0.050505466759204865,
-0.014349271543323994,
0.04835168272256851,
0.06499005109071732,
0.016323629766702652,
0.08096101135015488,
0.04207824170589447,
0.03753942996263504,
0.029937325045466423,
0.08679050207138062,
-0.022009173408150673,
-0.0040547288954257965,
-0.14558617770671844,
0.07654014229774475,
0.03517790138721466,
-0.026534304022789,
0.05916430428624153,
-0.03535427525639534,
-0.0762457624077797,
-0.026519324630498886,
0.007210318930447102,
-0.06522832065820694,
0.08017127960920334,
0.05123364180326462,
-0.06936392933130264,
0.0712713673710823,
0.017304986715316772,
-0.031893860548734665,
-0.10010826587677002,
-0.10646601021289825,
-0.03379995748400688,
0.10424051433801651,
-0.0347650907933712,
-0.1032043918967247,
-0.02771029807627201,
0.021647397428750992
] | null | null | null | null | null | null | null | [
-0.0654587373137474,
0.008891231380403042,
-0.018005529418587685,
0.017262917011976242,
0.006616770755499601,
-0.09675424546003342,
0.024815041571855545,
0.00598228769376874,
0.00924009457230568,
-0.037930507212877274,
-0.06779972463846207,
-0.06642740964889526,
-0.003635131288319826,
-0.008342319168150425,
-0.0857391282916069,
-0.043906934559345245,
-0.04723377153277397,
0.14768989384174347,
0.031644854694604874,
-0.03752462938427925,
0.005111181177198887,
-0.04245377704501152,
-0.1105806902050972,
0.06172686442732811,
0.08769182860851288,
0.029849885031580925,
-0.055337853729724884,
-0.058110952377319336,
-0.015370393171906471,
-0.021696172654628754,
-0.004279591143131256,
0.02729615941643715,
0.05445285513997078,
-0.014726425521075726,
0.0037145360838621855,
-0.004053535405546427,
0.028531137853860855,
0.008736354298889637,
0.049229033291339874,
-0.031698305159807205,
0.010757450945675373,
0.03928035870194435,
0.05346553027629852,
0.03840905800461769,
0.0029424624517560005,
-0.06185249984264374,
0.032267604023218155,
0.0037283285055309534,
0.015355234034359455,
0.024390676990151405,
-0.03845441713929176,
0.14387737214565277,
0.018987542018294334,
0.0065074521116912365,
-0.035317130386829376,
-0.01712775230407715,
0.023180857300758362,
0.06852241605520248,
0.015777258202433586,
0.05355304479598999,
0.016730548813939095,
-0.023955682292580605,
0.04339255020022392,
-0.07060053199529648,
0.07208502292633057,
-0.009163707494735718,
0.07097415626049042,
0.0010224547004327178,
0.0352824404835701,
0.10018246620893478,
0.012866798788309097,
0.08231331408023834,
-0.06686443090438843,
0.0542241595685482,
-0.025471512228250504,
0.047602053731679916,
-0.06435906887054443,
-0.02394021488726139,
0.04662754014134407,
0.05089481547474861,
0.02214881032705307,
-0.036551181226968765,
0.016036344692111015,
-0.011251268908381462,
0.07579323649406433,
0.015443027950823307,
0.038827504962682724,
0.03987845778465271,
0.07789011299610138,
-0.023121943697333336,
-0.016156384721398354,
-0.04273918271064758,
0.0028946208767592907,
0.01815597154200077,
0.07626540958881378,
0.03147699683904648,
0.002646710490807891,
0.02333240583539009,
0.011685963720083237,
0.03151555731892586,
0.07006349414587021,
-0.011162555776536465,
0.0058619314804673195,
-0.07487151771783829,
0.04687535762786865,
-0.034565605223178864,
0.09622006863355637,
0.005157240200787783,
-0.029365507885813713,
-0.06369243562221527,
0.017636002972722054,
-0.06644348800182343,
-0.04300829768180847,
0.022957561537623405,
0.0605856217443943,
0.018826523795723915,
-0.01397645752876997,
-0.020663192495703697,
0.005376913119107485,
-0.06687118858098984,
-0.011990618892014027,
0.029620656743645668,
0.11827318370342255,
0.055633142590522766,
0.06347472220659256,
-0.00020309508545324206,
-0.10859747231006622,
7.765579433076997e-33,
-0.09298891574144363,
0.033397234976291656,
0.05283176153898239,
-0.036328960210084915,
-0.053776487708091736,
-0.022557523101568222,
-0.018768062815070152,
0.027538053691387177,
0.034733887761831284,
0.047437842935323715,
0.03634301573038101,
0.05046295374631882,
-0.02392829768359661,
-0.014198606833815575,
0.0964355617761612,
-0.03825888782739639,
0.02298211306333542,
-0.01072810497134924,
-0.04638711363077164,
0.00035053148167207837,
0.053969789296388626,
-0.11927594989538193,
-0.014442489482462406,
-0.03463410213589668,
0.018264692276716232,
0.04751107841730118,
-0.038889750838279724,
0.06864436715841293,
0.008015873841941357,
0.05125834047794342,
-0.0004828585952054709,
-0.03244982659816742,
-0.007796948309987783,
-0.026279553771018982,
0.053913261741399765,
-0.05892953276634216,
0.02393871545791626,
-0.06008325517177582,
0.030107662081718445,
0.049022573977708817,
-0.0300094336271286,
0.06297243386507034,
-0.032642435282468796,
-0.06309894472360611,
-0.03453456982970238,
0.01324981264770031,
-0.02199230156838894,
0.05182161182165146,
0.030926039442420006,
0.029845714569091797,
-0.04394577443599701,
0.04091635346412659,
-0.06391996145248413,
0.04101037606596947,
-0.0205710269510746,
-0.017012527212500572,
-0.009006203152239323,
-0.05132367089390755,
0.04869803786277771,
0.09937728196382523,
-0.053757715970277786,
0.016280531883239746,
-0.05845191329717636,
-0.04958455264568329,
-0.13345906138420105,
0.07137428224086761,
0.04601430892944336,
0.0325322225689888,
0.005383388604968786,
-0.0024411072954535484,
-0.04857322946190834,
-0.021067369729280472,
0.008199372328817844,
-0.030436832457780838,
0.04618828371167183,
-0.0476473905146122,
0.07128968089818954,
0.017680855467915535,
-0.057350900024175644,
-0.03871780261397362,
-0.00011053476191591471,
0.03117416799068451,
0.06287892162799835,
-0.060217682272195816,
-0.013370907865464687,
-0.035110604017972946,
-0.07869280129671097,
0.05560637265443802,
-0.10293438285589218,
-0.0018547087674960494,
-0.028053848072886467,
0.01677166111767292,
0.008743264712393284,
0.039637256413698196,
-0.08740217983722687,
-7.52539948858111e-33,
-0.1451081484556198,
-0.02234676107764244,
0.016197431832551956,
0.08939068019390106,
-0.043534789234399796,
-0.0449024997651577,
-0.003740133484825492,
-0.10009589791297913,
0.12403461337089539,
-0.06818659603595734,
-0.10594052821397781,
-0.045364443212747574,
-0.037410322576761246,
0.10892059653997421,
0.006853593047708273,
-0.00006123028288129717,
-0.03962317481637001,
0.0019095244351774454,
0.07974383234977722,
-0.003182117361575365,
0.07454434037208557,
0.010759871453046799,
0.05328018218278885,
-0.010715081356465816,
-0.06180302053689957,
0.06092583015561104,
0.008626275695860386,
-0.03982231765985489,
-0.018432509154081345,
-0.05117256939411163,
-0.006277571897953749,
0.027761537581682205,
-0.003887196071445942,
-0.017988353967666626,
0.03210648521780968,
-0.05311858281493187,
0.028722282499074936,
0.021247653290629387,
0.021133476868271828,
-0.06605560332536697,
0.09347940236330032,
0.015443220734596252,
0.031760454177856445,
-0.04226308688521385,
0.06418859213590622,
0.035086583346128464,
-0.02982676960527897,
0.008925970643758774,
0.026814879849553108,
0.054956380277872086,
0.004440965596586466,
-0.013256463222205639,
-0.05837108567357063,
0.04518919438123703,
-0.051574740558862686,
-0.0032650944776833057,
-0.061554837971925735,
0.09087168425321579,
-0.0003318909148219973,
-0.0012742135440930724,
-0.1599900722503662,
-0.06903998553752899,
-0.04278647154569626,
0.018618088215589523,
-0.003732856595888734,
0.03663352131843567,
-0.00759656447917223,
-0.049879271537065506,
0.02320692129433155,
-0.004354191478341818,
0.02802618034183979,
0.040666159242391586,
-0.03248772397637367,
0.04034345969557762,
-0.10370969027280807,
-0.023665301501750946,
-0.013681824319064617,
-0.0432637520134449,
0.060775622725486755,
0.011104146018624306,
0.026178549975156784,
0.03519177436828613,
0.04954400286078453,
-0.0753985047340393,
-0.044015537947416306,
0.07442741096019745,
-0.039477910846471786,
0.03092203103005886,
-0.02552657201886177,
0.0025470457039773464,
-0.068111352622509,
0.03693743795156479,
-0.04742327705025673,
-0.06815297156572342,
-0.052566539496183395,
-5.7818130727582684e-8,
0.007118022534996271,
-0.016723135486245155,
0.021351855248212814,
-0.046389754861593246,
0.07010209560394287,
-0.0013691330095753074,
-0.05274967849254608,
0.05599673464894295,
0.015553448349237442,
-0.09417445212602615,
0.0122856879606843,
-0.05789642781019211,
-0.031795915216207504,
-0.017000174149870872,
0.018115708604454994,
0.0322912372648716,
-0.022428669035434723,
-0.016990553587675095,
-0.04594852775335312,
-0.05514145269989967,
0.03887679800391197,
0.03620116040110588,
0.049495626240968704,
-0.005001707002520561,
-0.0873158723115921,
-0.0028003219049423933,
0.027600256726145744,
0.10983891785144806,
0.050505466759204865,
-0.014349271543323994,
0.04835168272256851,
0.06499005109071732,
0.016323629766702652,
0.08096101135015488,
0.04207824170589447,
0.03753942996263504,
0.029937325045466423,
0.08679050207138062,
-0.022009173408150673,
-0.0040547288954257965,
-0.14558617770671844,
0.07654014229774475,
0.03517790138721466,
-0.026534304022789,
0.05916430428624153,
-0.03535427525639534,
-0.0762457624077797,
-0.026519324630498886,
0.007210318930447102,
-0.06522832065820694,
0.08017127960920334,
0.05123364180326462,
-0.06936392933130264,
0.0712713673710823,
0.017304986715316772,
-0.031893860548734665,
-0.10010826587677002,
-0.10646601021289825,
-0.03379995748400688,
0.10424051433801651,
-0.0347650907933712,
-0.1032043918967247,
-0.02771029807627201,
0.021647397428750992
] |
1401.0255 | Dinesh Govindaraj | Dinesh Govindaraj, Tao Wang, S.V.N. Vishwanathan | Modeling Attractiveness and Multiple Clicks in Sponsored Search Results | null | null | null | null | cs.IR cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Click models are an important tool for leveraging user feedback, and are used
by commercial search engines for surfacing relevant search results. However,
existing click models are lacking in two aspects. First, they do not share
information across search results when computing attractiveness. Second, they
assume that users interact with the search results sequentially. Based on our
analysis of the click logs of a commercial search engine, we observe that the
sequential scan assumption does not always hold, especially for sponsored
search results. To overcome the above two limitations, we propose a new click
model. Our key insight is that sharing information across search results helps
in identifying important words or key-phrases which can then be used to
accurately compute attractiveness of a search result. Furthermore, we argue
that the click probability of a position as well as its attractiveness changes
during a user session and depends on the user's past click experience. Our
model seamlessly incorporates the effect of externalities (quality of other
search results displayed in response to a user query), user fatigue, as well as
pre and post-click relevance of a sponsored search result. We propose an
efficient one-pass inference scheme and empirically evaluate the performance of
our model via extensive experiments using the click logs of a large commercial
search engine.
| [
{
"created": "Wed, 1 Jan 2014 06:45:58 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Govindaraj",
"Dinesh",
""
],
[
"Wang",
"Tao",
""
],
[
"Vishwanathan",
"S. V. N.",
""
]
] | [
-0.06816902756690979,
-0.10064908117055893,
-0.014940950088202953,
0.05752754583954811,
0.08422745019197464,
-0.020221568644046783,
0.07780437916517258,
-0.00956487562507391,
0.022087140008807182,
-0.09871090203523636,
-0.06438104808330536,
0.006361921783536673,
0.06580992043018341,
-0.009888715110719204,
-0.030405916273593903,
-0.07053162157535553,
0.10869397968053818,
0.04741436243057251,
-0.028895465657114983,
-0.03607046231627464,
0.053435374051332474,
0.03109913133084774,
0.0739096850156784,
-0.030403360724449158,
-0.07984718680381775,
-0.10189128667116165,
-0.026062320917844772,
-0.040202707052230835,
-0.004283559042960405,
0.00017810532881412655,
-0.04138536378741264,
-0.004364767577499151,
0.051457587629556656,
0.017477523535490036,
-0.01920931600034237,
-0.09440836310386658,
-0.09950179606676102,
-0.01719634048640728,
-0.011663793586194515,
-0.04948735982179642,
-0.0032012846786528826,
-0.02843906171619892,
0.003168495837599039,
0.037682898342609406,
0.005389603320509195,
-0.009910554625093937,
-0.033484578132629395,
0.04191310331225395,
0.054182019084692,
0.07211530953645706,
-0.08605881035327911,
-0.012560388073325157,
0.05679616704583168,
-0.02810240350663662,
-0.024765221402049065,
-0.004755688365548849,
-0.017210889607667923,
-0.016613855957984924,
-0.05216522514820099,
-0.029989562928676605,
0.034505315124988556,
-0.04473291337490082,
-0.06513373553752899,
-0.004987915977835655,
0.01785638928413391,
-0.07807594537734985,
0.04052773490548134,
-0.01287376694381237,
-0.043464288115501404,
0.0646609216928482,
-0.012145447544753551,
0.03461692854762077,
-0.0488521009683609,
0.0522523894906044,
0.031219374388456345,
0.015498549677431583,
-0.028589315712451935,
-0.027923960238695145,
-0.0243606548756361,
-0.00480920122936368,
-0.07656901329755783,
-0.06898679584264755,
0.01554874051362276,
-0.055860016494989395,
0.0428396537899971,
-0.025760740041732788,
0.08060162514448166,
-0.024746928364038467,
0.03235555440187454,
-0.020278597250580788,
-0.03352592885494232,
0.000152782115037553,
-0.03227226808667183,
-0.033887870609760284,
0.048369355499744415,
0.041300348937511444,
-0.02153049409389496,
-0.03311561420559883,
0.029721949249505997,
0.046035680919885635,
0.0003434776735957712,
0.11031072586774826,
0.00023931429313961416,
-0.10282981395721436,
-0.005118798464536667,
0.05729568749666214,
-0.03580571711063385,
0.1231769397854805,
0.012791815213859081,
-0.027392104268074036,
-0.03969334438443184,
0.0691962018609047,
0.02913876250386238,
-0.046702515333890915,
0.02707778662443161,
-0.0573132261633873,
0.001514107221737504,
-0.01766045391559601,
0.09900612384080887,
0.05492423474788666,
0.11310557276010513,
0.07255635410547256,
0.05564013868570328,
-0.08349345624446869,
0.020418114960193634,
-0.024230124428868294,
-0.028244171291589737,
1.0678918479176712e-34,
0.058262672275304794,
0.04142080992460251,
-0.02228529192507267,
0.043235164135694504,
0.01825844682753086,
0.050137825310230255,
0.00994131900370121,
0.050438959151506424,
-0.07718000560998917,
-0.04575145244598389,
-0.041452620178461075,
0.052156005054712296,
0.005597546696662903,
0.05322612449526787,
0.0472220741212368,
0.030995585024356842,
-0.019092407077550888,
0.060847003012895584,
-0.040447868406772614,
-0.028736010193824768,
0.05354538559913635,
0.02215537801384926,
0.044180918484926224,
-0.0035190279595553875,
-0.012073266319930553,
0.012099524028599262,
-0.0038396213203668594,
0.0022077420726418495,
-0.0958884209394455,
0.024994229897856712,
-0.07506594061851501,
-0.051446519792079926,
-0.04496658220887184,
-0.03524083271622658,
-0.030006607994437218,
0.006542310584336519,
-0.053635403513908386,
-0.037184424698352814,
0.0396537259221077,
-0.0009971791878342628,
-0.12807880342006683,
-0.01987689919769764,
0.038047511130571365,
-0.01783028617501259,
-0.14664135873317719,
-0.012823847122490406,
-0.08676820993423462,
0.017105301842093468,
-0.00751397805288434,
0.014049172401428223,
0.09734077751636505,
0.008211544714868069,
0.02442692406475544,
0.004905210342258215,
-0.024654094129800797,
0.03426974639296532,
0.029064983129501343,
-0.00037022115429863334,
-0.028791025280952454,
0.010663263499736786,
0.006539964582771063,
0.025120612233877182,
0.09229853004217148,
-0.030536122620105743,
-0.027555275708436966,
0.01884499005973339,
0.00675506517291069,
0.0578291155397892,
0.002844810951501131,
0.035497624427080154,
0.03331935405731201,
-0.025309521704912186,
-0.02152969315648079,
-0.07912711799144745,
-0.013178632594645023,
0.03876933827996254,
-0.02301822043955326,
-0.05207948759198189,
0.0776154175400734,
0.005343532655388117,
0.08208131790161133,
-0.12080203741788864,
0.034392211586236954,
-0.036629192531108856,
-0.030137797817587852,
0.007714203558862209,
0.006830496713519096,
-0.09335735440254211,
-0.07256752997636795,
-0.06796800345182419,
0.012866191565990448,
0.08612433075904846,
-0.04355265572667122,
-0.041375111788511276,
-0.02417132817208767,
-2.1691037260578732e-33,
-0.05909960716962814,
-0.051609478890895844,
0.08744426816701889,
0.06677114963531494,
-0.013677415437996387,
0.0482584610581398,
-0.029543578624725342,
-0.050265513360500336,
-0.06059547886252403,
-0.051869869232177734,
-0.0066056321375072,
-0.002214204054325819,
0.0320543497800827,
0.0023840125650167465,
-0.04603704437613487,
0.09176845848560333,
0.06912991404533386,
-0.0031889351084828377,
-0.07289382815361023,
0.05610986426472664,
0.06292148679494858,
0.05932904779911041,
-0.09435805678367615,
-0.019337184727191925,
-0.06658867746591568,
-0.04315929859876633,
0.011589102447032928,
0.09312224388122559,
0.015238211490213871,
-0.028102034702897072,
0.03027082048356533,
0.015307295136153698,
-0.08184462040662766,
0.0011051404289901257,
0.013663459569215775,
0.11606629192829132,
0.06859796494245529,
-0.05793875455856323,
-0.005214283242821693,
0.13251005113124847,
0.04109591245651245,
-0.010481537319719791,
0.023846909403800964,
-0.02689688466489315,
-0.023725954815745354,
-0.023470614105463028,
-0.09641313552856445,
0.0453798770904541,
0.0028429788071662188,
0.02117391861975193,
-0.009045354090631008,
0.06683643907308578,
-0.01663033477962017,
0.008865101262927055,
-0.08981955796480179,
-0.02490394376218319,
-0.11088883131742477,
-0.0030747263226658106,
0.023379165679216385,
0.030283428728580475,
-0.09189894050359726,
0.0018487927736714482,
-0.002650258596986532,
-0.0006191874272190034,
-0.014406459406018257,
-0.10171589255332947,
0.07791563868522644,
-0.031889211386442184,
-0.030340097844600677,
-0.035180795937776566,
0.06480999290943146,
-0.01570248417556286,
-0.0008480454562231898,
-0.032592806965112686,
-0.017164163291454315,
0.05375949665904045,
0.0829223170876503,
0.006391601171344519,
0.009256635792553425,
-0.05621428042650223,
-0.004265546798706055,
0.03458942845463753,
0.028874939307570457,
-0.02471822127699852,
0.028433386236429214,
0.06738924235105515,
-0.002486308803781867,
0.06865454465150833,
0.008082208223640919,
-0.029529111459851265,
0.03595039248466492,
0.010646780021488667,
-0.05918607488274574,
0.051750145852565765,
-0.023660503327846527,
-3.8706318150616426e-8,
-0.0327463336288929,
0.07604707032442093,
0.027964787557721138,
0.05385086312890053,
0.05915679782629013,
0.03781634196639061,
-0.03291334956884384,
0.11565849930047989,
-0.06297901272773743,
-0.10164573788642883,
0.07333168387413025,
0.04442576318979263,
0.007490463554859161,
0.03945991396903992,
-0.012253303080797195,
0.08487586677074432,
-0.07267206162214279,
-0.05676233023405075,
-0.026169048622250557,
-0.025805940851569176,
-0.016719263046979904,
0.06661266833543777,
0.019702734425663948,
0.008342177607119083,
0.004143407568335533,
0.028233295306563377,
-0.025611504912376404,
0.0949275866150856,
0.0694977417588234,
-0.01788991317152977,
0.013860145583748817,
0.03159157931804657,
-0.1277400553226471,
0.00675452034920454,
0.062488868832588196,
0.013677719049155712,
0.005372772458940744,
-0.08256813883781433,
-0.04968976229429245,
-0.004000839777290821,
0.033212654292583466,
0.05727757140994072,
0.006887122988700867,
0.08397886902093887,
-0.01021497044712305,
0.01675029844045639,
-0.01570744253695011,
-0.0929257869720459,
0.0609869547188282,
-0.03525702282786369,
-0.00969179067760706,
-0.07078011333942413,
0.0029606379102915525,
-0.002565507311373949,
0.032787904143333435,
-0.009130609221756458,
-0.034329723566770554,
0.03617161512374878,
0.12121665477752686,
0.12411045283079147,
0.08069049566984177,
-0.04091034457087517,
-0.05033127963542938,
0.055600233376026154
] | null | null | null | null | null | null | null | [
-0.06816902756690979,
-0.10064908117055893,
-0.014940950088202953,
0.05752754583954811,
0.08422745019197464,
-0.020221568644046783,
0.07780437916517258,
-0.00956487562507391,
0.022087140008807182,
-0.09871090203523636,
-0.06438104808330536,
0.006361921783536673,
0.06580992043018341,
-0.009888715110719204,
-0.030405916273593903,
-0.07053162157535553,
0.10869397968053818,
0.04741436243057251,
-0.028895465657114983,
-0.03607046231627464,
0.053435374051332474,
0.03109913133084774,
0.0739096850156784,
-0.030403360724449158,
-0.07984718680381775,
-0.10189128667116165,
-0.026062320917844772,
-0.040202707052230835,
-0.004283559042960405,
0.00017810532881412655,
-0.04138536378741264,
-0.004364767577499151,
0.051457587629556656,
0.017477523535490036,
-0.01920931600034237,
-0.09440836310386658,
-0.09950179606676102,
-0.01719634048640728,
-0.011663793586194515,
-0.04948735982179642,
-0.0032012846786528826,
-0.02843906171619892,
0.003168495837599039,
0.037682898342609406,
0.005389603320509195,
-0.009910554625093937,
-0.033484578132629395,
0.04191310331225395,
0.054182019084692,
0.07211530953645706,
-0.08605881035327911,
-0.012560388073325157,
0.05679616704583168,
-0.02810240350663662,
-0.024765221402049065,
-0.004755688365548849,
-0.017210889607667923,
-0.016613855957984924,
-0.05216522514820099,
-0.029989562928676605,
0.034505315124988556,
-0.04473291337490082,
-0.06513373553752899,
-0.004987915977835655,
0.01785638928413391,
-0.07807594537734985,
0.04052773490548134,
-0.01287376694381237,
-0.043464288115501404,
0.0646609216928482,
-0.012145447544753551,
0.03461692854762077,
-0.0488521009683609,
0.0522523894906044,
0.031219374388456345,
0.015498549677431583,
-0.028589315712451935,
-0.027923960238695145,
-0.0243606548756361,
-0.00480920122936368,
-0.07656901329755783,
-0.06898679584264755,
0.01554874051362276,
-0.055860016494989395,
0.0428396537899971,
-0.025760740041732788,
0.08060162514448166,
-0.024746928364038467,
0.03235555440187454,
-0.020278597250580788,
-0.03352592885494232,
0.000152782115037553,
-0.03227226808667183,
-0.033887870609760284,
0.048369355499744415,
0.041300348937511444,
-0.02153049409389496,
-0.03311561420559883,
0.029721949249505997,
0.046035680919885635,
0.0003434776735957712,
0.11031072586774826,
0.00023931429313961416,
-0.10282981395721436,
-0.005118798464536667,
0.05729568749666214,
-0.03580571711063385,
0.1231769397854805,
0.012791815213859081,
-0.027392104268074036,
-0.03969334438443184,
0.0691962018609047,
0.02913876250386238,
-0.046702515333890915,
0.02707778662443161,
-0.0573132261633873,
0.001514107221737504,
-0.01766045391559601,
0.09900612384080887,
0.05492423474788666,
0.11310557276010513,
0.07255635410547256,
0.05564013868570328,
-0.08349345624446869,
0.020418114960193634,
-0.024230124428868294,
-0.028244171291589737,
1.0678918479176712e-34,
0.058262672275304794,
0.04142080992460251,
-0.02228529192507267,
0.043235164135694504,
0.01825844682753086,
0.050137825310230255,
0.00994131900370121,
0.050438959151506424,
-0.07718000560998917,
-0.04575145244598389,
-0.041452620178461075,
0.052156005054712296,
0.005597546696662903,
0.05322612449526787,
0.0472220741212368,
0.030995585024356842,
-0.019092407077550888,
0.060847003012895584,
-0.040447868406772614,
-0.028736010193824768,
0.05354538559913635,
0.02215537801384926,
0.044180918484926224,
-0.0035190279595553875,
-0.012073266319930553,
0.012099524028599262,
-0.0038396213203668594,
0.0022077420726418495,
-0.0958884209394455,
0.024994229897856712,
-0.07506594061851501,
-0.051446519792079926,
-0.04496658220887184,
-0.03524083271622658,
-0.030006607994437218,
0.006542310584336519,
-0.053635403513908386,
-0.037184424698352814,
0.0396537259221077,
-0.0009971791878342628,
-0.12807880342006683,
-0.01987689919769764,
0.038047511130571365,
-0.01783028617501259,
-0.14664135873317719,
-0.012823847122490406,
-0.08676820993423462,
0.017105301842093468,
-0.00751397805288434,
0.014049172401428223,
0.09734077751636505,
0.008211544714868069,
0.02442692406475544,
0.004905210342258215,
-0.024654094129800797,
0.03426974639296532,
0.029064983129501343,
-0.00037022115429863334,
-0.028791025280952454,
0.010663263499736786,
0.006539964582771063,
0.025120612233877182,
0.09229853004217148,
-0.030536122620105743,
-0.027555275708436966,
0.01884499005973339,
0.00675506517291069,
0.0578291155397892,
0.002844810951501131,
0.035497624427080154,
0.03331935405731201,
-0.025309521704912186,
-0.02152969315648079,
-0.07912711799144745,
-0.013178632594645023,
0.03876933827996254,
-0.02301822043955326,
-0.05207948759198189,
0.0776154175400734,
0.005343532655388117,
0.08208131790161133,
-0.12080203741788864,
0.034392211586236954,
-0.036629192531108856,
-0.030137797817587852,
0.007714203558862209,
0.006830496713519096,
-0.09335735440254211,
-0.07256752997636795,
-0.06796800345182419,
0.012866191565990448,
0.08612433075904846,
-0.04355265572667122,
-0.041375111788511276,
-0.02417132817208767,
-2.1691037260578732e-33,
-0.05909960716962814,
-0.051609478890895844,
0.08744426816701889,
0.06677114963531494,
-0.013677415437996387,
0.0482584610581398,
-0.029543578624725342,
-0.050265513360500336,
-0.06059547886252403,
-0.051869869232177734,
-0.0066056321375072,
-0.002214204054325819,
0.0320543497800827,
0.0023840125650167465,
-0.04603704437613487,
0.09176845848560333,
0.06912991404533386,
-0.0031889351084828377,
-0.07289382815361023,
0.05610986426472664,
0.06292148679494858,
0.05932904779911041,
-0.09435805678367615,
-0.019337184727191925,
-0.06658867746591568,
-0.04315929859876633,
0.011589102447032928,
0.09312224388122559,
0.015238211490213871,
-0.028102034702897072,
0.03027082048356533,
0.015307295136153698,
-0.08184462040662766,
0.0011051404289901257,
0.013663459569215775,
0.11606629192829132,
0.06859796494245529,
-0.05793875455856323,
-0.005214283242821693,
0.13251005113124847,
0.04109591245651245,
-0.010481537319719791,
0.023846909403800964,
-0.02689688466489315,
-0.023725954815745354,
-0.023470614105463028,
-0.09641313552856445,
0.0453798770904541,
0.0028429788071662188,
0.02117391861975193,
-0.009045354090631008,
0.06683643907308578,
-0.01663033477962017,
0.008865101262927055,
-0.08981955796480179,
-0.02490394376218319,
-0.11088883131742477,
-0.0030747263226658106,
0.023379165679216385,
0.030283428728580475,
-0.09189894050359726,
0.0018487927736714482,
-0.002650258596986532,
-0.0006191874272190034,
-0.014406459406018257,
-0.10171589255332947,
0.07791563868522644,
-0.031889211386442184,
-0.030340097844600677,
-0.035180795937776566,
0.06480999290943146,
-0.01570248417556286,
-0.0008480454562231898,
-0.032592806965112686,
-0.017164163291454315,
0.05375949665904045,
0.0829223170876503,
0.006391601171344519,
0.009256635792553425,
-0.05621428042650223,
-0.004265546798706055,
0.03458942845463753,
0.028874939307570457,
-0.02471822127699852,
0.028433386236429214,
0.06738924235105515,
-0.002486308803781867,
0.06865454465150833,
0.008082208223640919,
-0.029529111459851265,
0.03595039248466492,
0.010646780021488667,
-0.05918607488274574,
0.051750145852565765,
-0.023660503327846527,
-3.8706318150616426e-8,
-0.0327463336288929,
0.07604707032442093,
0.027964787557721138,
0.05385086312890053,
0.05915679782629013,
0.03781634196639061,
-0.03291334956884384,
0.11565849930047989,
-0.06297901272773743,
-0.10164573788642883,
0.07333168387413025,
0.04442576318979263,
0.007490463554859161,
0.03945991396903992,
-0.012253303080797195,
0.08487586677074432,
-0.07267206162214279,
-0.05676233023405075,
-0.026169048622250557,
-0.025805940851569176,
-0.016719263046979904,
0.06661266833543777,
0.019702734425663948,
0.008342177607119083,
0.004143407568335533,
0.028233295306563377,
-0.025611504912376404,
0.0949275866150856,
0.0694977417588234,
-0.01788991317152977,
0.013860145583748817,
0.03159157931804657,
-0.1277400553226471,
0.00675452034920454,
0.062488868832588196,
0.013677719049155712,
0.005372772458940744,
-0.08256813883781433,
-0.04968976229429245,
-0.004000839777290821,
0.033212654292583466,
0.05727757140994072,
0.006887122988700867,
0.08397886902093887,
-0.01021497044712305,
0.01675029844045639,
-0.01570744253695011,
-0.0929257869720459,
0.0609869547188282,
-0.03525702282786369,
-0.00969179067760706,
-0.07078011333942413,
0.0029606379102915525,
-0.002565507311373949,
0.032787904143333435,
-0.009130609221756458,
-0.034329723566770554,
0.03617161512374878,
0.12121665477752686,
0.12411045283079147,
0.08069049566984177,
-0.04091034457087517,
-0.05033127963542938,
0.055600233376026154
] |
1401.0260 | Pedro Henrique Juliano Nardelli | Pedro H. J. Nardelli, Nicolas Rubido, Chengwei Wang, Murilo S.
Baptista, Carlos Pomalaza-Raez, Paulo Cardieri, Matti Latva-aho | Models for the modern power grid | Submitted to EPJ-ST Power Grids, May 2015 | null | 10.1140/epjst/e2014-02219-6 | null | cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article reviews different kinds of models for the electric power grid
that can be used to understand the modern power system, the smart grid. From
the physical network to abstract energy markets, we identify in the literature
different aspects that co-determine the spatio-temporal multilayer dynamics of
power system. We start our review by showing how the generation, transmission
and distribution characteristics of the traditional power grids are already
subject to complex behaviour appearing as a result of the the interplay between
dynamics of the nodes and topology, namely synchronisation and cascade effects.
When dealing with smart grids, the system complexity increases even more: on
top of the physical network of power lines and controllable sources of
electricity, the modernisation brings information networks, renewable
intermittent generation, market liberalisation, prosumers, among other aspects.
In this case, we forecast a dynamical co-evolution of the smart grid and other
kind of networked systems that cannot be understood isolated. This review
compiles recent results that model electric power grids as complex systems,
going beyond pure technological aspects. From this perspective, we then
indicate possible ways to incorporate the diverse co-evolving systems into the
smart grid model using, for example, network theory and multi-agent simulation.
| [
{
"created": "Wed, 1 Jan 2014 07:14:36 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2014 13:48:28 GMT",
"version": "v2"
},
{
"created": "Thu, 8 May 2014 06:43:43 GMT",
"version": "v3"
},
{
"created": "Mon, 16 Jun 2014 07:41:15 GMT",
"version": "v4"
}
] | 2015-06-18 | [
[
"Nardelli",
"Pedro H. J.",
""
],
[
"Rubido",
"Nicolas",
""
],
[
"Wang",
"Chengwei",
""
],
[
"Baptista",
"Murilo S.",
""
],
[
"Pomalaza-Raez",
"Carlos",
""
],
[
"Cardieri",
"Paulo",
""
],
[
"Latva-aho",
"Matti",
""
]
] | [
-0.04345148056745529,
-0.00008379952487302944,
-0.030405227094888687,
0.03831811994314194,
0.04178407043218613,
-0.04500269144773483,
-0.041560206562280655,
-0.02951429970562458,
0.0314202681183815,
-0.04072008654475212,
-0.028001056984066963,
-0.031645312905311584,
0.02917230874300003,
-0.022572819143533707,
0.05914359912276268,
-0.058819837868213654,
-0.00914690364152193,
-0.1161530539393425,
-0.012887095101177692,
-0.0225193053483963,
0.06425796449184418,
-0.04573243856430054,
-0.10460836440324783,
-0.050797734409570694,
0.026005391031503677,
0.010345891118049622,
-0.026878828182816505,
0.011333842761814594,
-0.06596971303224564,
0.014580046758055687,
-0.0026044482365250587,
-0.030310826376080513,
-0.07940298318862915,
0.0012225741520524025,
-0.04379405453801155,
0.015587231144309044,
-0.022537685930728912,
0.07550772279500961,
0.10769941657781601,
0.07301505655050278,
0.12042692303657532,
-0.04099658131599426,
-0.06408554315567017,
0.014753688126802444,
-0.0038013807497918606,
0.044978246092796326,
-0.023224523290991783,
0.011535550467669964,
-0.036577582359313965,
-0.04261273145675659,
-0.11658420413732529,
-0.05033759027719498,
0.029199445620179176,
0.010374977253377438,
0.1031862124800682,
-0.02370101399719715,
0.056120097637176514,
-0.019227227196097374,
0.04470718279480934,
-0.006141771096736193,
0.04085212200880051,
-0.08316220343112946,
0.019223568961024284,
0.04026269540190697,
-0.022067423909902573,
0.06329777836799622,
0.011632082983851433,
0.11519072949886322,
0.03869883343577385,
-0.09695042669773102,
0.037041712552309036,
-0.01613607443869114,
-0.0771251693367958,
-0.054940201342105865,
0.02173587866127491,
-0.03024703450500965,
0.027634382247924805,
-0.019337065517902374,
-0.05069075897336006,
-0.018928224220871925,
0.014623335562646389,
0.0790981575846672,
-0.046817950904369354,
-0.018017232418060303,
-0.04626380279660225,
0.011899122968316078,
-0.02506362833082676,
-0.005294634960591793,
0.0747404396533966,
-0.07190404832363129,
-0.049860890954732895,
0.09771733731031418,
0.013114187866449356,
0.05047868564724922,
0.13055232167243958,
0.09602109342813492,
0.030025120824575424,
-0.05648639053106308,
0.00913134217262268,
0.054071709513664246,
0.03254837542772293,
-0.047183528542518616,
0.07450143992900848,
-0.02232940122485161,
0.04431208595633507,
-0.01187147106975317,
-0.005729891825467348,
0.024526577442884445,
-0.00835008081048727,
-0.040762923657894135,
-0.00802360475063324,
-0.018009820953011513,
0.01774619147181511,
-0.006613187026232481,
-0.02296641655266285,
-0.009268381632864475,
0.0729009211063385,
0.02874320186674595,
0.03664695471525192,
-0.003585969330742955,
0.08069021254777908,
-0.05024174600839615,
0.007669828366488218,
0.004206059500575066,
0.10023479163646698,
0.07479412853717804,
0.02780972234904766,
-2.368452874277948e-33,
-0.13456057012081146,
-0.0049543073400855064,
-0.023885855451226234,
0.04237215965986252,
0.07027103006839752,
0.036532897502183914,
0.020652001723647118,
0.0049711535684764385,
0.011189726181328297,
0.043579984456300735,
0.01382181141525507,
0.09621430188417435,
0.007958667352795601,
0.04196508601307869,
0.007459958549588919,
-0.034419603645801544,
0.025471849367022514,
-0.028701219707727432,
0.10496917366981506,
-0.023061348125338554,
0.07274896651506424,
0.01449534296989441,
0.0035489739384502172,
-0.03093392588198185,
-0.03244270011782646,
0.001205965643748641,
0.08415178954601288,
-0.018610581755638123,
0.02351117692887783,
-0.007637864910066128,
0.0524112805724144,
0.07400132715702057,
0.025941431522369385,
0.07384525239467621,
-0.03333166241645813,
-0.006178530864417553,
0.00754892872646451,
-0.022149961441755295,
-0.039848268032073975,
-0.015739943832159042,
-0.013964302837848663,
-0.01042147260159254,
-0.07815705984830856,
0.0003017419367097318,
-0.034805990755558014,
-0.002944714156910777,
0.089256152510643,
-0.04258570820093155,
-0.06214160844683647,
-0.06727337092161179,
-0.0038005532696843147,
0.0072619495913386345,
0.05769730731844902,
-0.03635433316230774,
0.010436125099658966,
0.09703028947114944,
-0.052322763949632645,
0.0007720126304775476,
0.053505439311265945,
0.045880112797021866,
-0.044498197734355927,
-0.05754069238901138,
0.03929055854678154,
-0.02902495488524437,
0.09978040307760239,
0.010974944569170475,
-0.036241572350263596,
-0.0014228104846552014,
0.024909531697630882,
0.0017023951513692737,
0.09478864818811417,
-0.034792497754096985,
-0.09380146861076355,
0.014619426801800728,
0.07106824219226837,
-0.03511545807123184,
-0.032526131719350815,
0.011846567504107952,
-0.09595223516225815,
0.04366500303149223,
-0.10541506111621857,
-0.019125260412693024,
-0.038974590599536896,
0.06698202341794968,
0.033938053995370865,
-0.06969310343265533,
-0.013719326816499233,
0.050103746354579926,
-0.04083050787448883,
-0.05488976091146469,
-0.07008258998394012,
0.028207629919052124,
0.055445775389671326,
0.032567836344242096,
0.03195734694600105,
-1.3228619449875506e-33,
-0.0723222941160202,
0.027577266097068787,
-0.08036812394857407,
0.0085232462733984,
0.03528199344873428,
-0.007798319216817617,
-0.12543582916259766,
-0.0310455821454525,
-0.07751866430044174,
0.01905149407684803,
-0.03505343571305275,
-0.045988552272319794,
-0.05065958946943283,
-0.05050737410783768,
0.051587190479040146,
-0.02826886810362339,
0.01860393024981022,
-0.03191497176885605,
0.0022586314007639885,
0.007936800830066204,
0.03073621354997158,
-0.019727252423763275,
-0.022717757150530815,
-0.00970605667680502,
0.07891009747982025,
0.04471447318792343,
-0.027138780802488327,
0.08306047320365906,
0.019864579662680626,
0.09559663385152817,
-0.10406972467899323,
-0.014784605242311954,
0.010788222774863243,
0.013446945697069168,
-0.030203521251678467,
0.13205291330814362,
0.01576651819050312,
-0.007445439696311951,
0.054296787828207016,
0.012071511708199978,
0.005779921542853117,
-0.13513410091400146,
-0.04395463317632675,
-0.054410170763731,
0.0060893171466887,
-0.04727545008063316,
-0.007201650645583868,
0.1104545146226883,
-0.0839778259396553,
0.024063197895884514,
0.03444407507777214,
0.04175766184926033,
-0.09899915009737015,
-0.04384804517030716,
-0.03130939602851868,
0.024050462990999222,
0.06958364695310593,
0.03994448855519295,
-0.044294003397226334,
-0.09572477638721466,
-0.04108881577849388,
-0.09063439816236496,
0.014255615882575512,
0.06693514436483383,
-0.033087871968746185,
-0.02892346866428852,
0.037586759775877,
-0.1357041299343109,
0.019705208018422127,
0.0073453509248793125,
0.02235950529575348,
0.05246764048933983,
-0.11994992196559906,
-0.051042500883340836,
0.030983123928308487,
-0.024789847433567047,
-0.01617768593132496,
0.04107995703816414,
0.02552599273622036,
-0.05172296240925789,
-0.05167924985289574,
0.07171298563480377,
0.0051005519926548,
-0.04553014785051346,
-0.035425540059804916,
-0.049901269376277924,
0.05269236862659454,
0.013661482371389866,
0.05518586188554764,
0.007164391689002514,
-0.023289985954761505,
-0.021965818479657173,
-0.05690229311585426,
0.056231748312711716,
-0.09184617549180984,
-4.902549477492357e-8,
-0.002738653216511011,
0.059934671968221664,
0.10692848265171051,
-0.009046805091202259,
0.0216389037668705,
-0.024447228759527206,
0.0584903359413147,
-0.0783495306968689,
-0.014432048425078392,
0.026881394907832146,
0.07388710975646973,
-0.021137557923793793,
0.0538768470287323,
0.012871431186795235,
-0.009039467200636864,
0.009212086908519268,
0.012808697298169136,
-0.024582484737038612,
-0.01733720861375332,
0.05944490432739258,
-0.0032144661527127028,
-0.026172136887907982,
-0.05327380821108818,
0.09864354133605957,
0.06458522379398346,
0.01639098860323429,
-0.025959260761737823,
-0.041452113538980484,
0.0269573125988245,
0.07031650841236115,
-0.024007640779018402,
-0.013333210721611977,
0.014604516327381134,
-0.013310257345438004,
-0.08490797132253647,
0.024430761113762856,
-0.007166586816310883,
-0.08038374036550522,
0.00758556742221117,
-0.03592361509799957,
-0.002938608406111598,
-0.05602307245135307,
0.010423277504742146,
-0.0033119572326540947,
0.014856671914458275,
-0.05239368602633476,
-0.06928837299346924,
-0.058368194848299026,
0.12490881234407425,
0.05020495131611824,
-0.04781325161457062,
-0.02988416515290737,
-0.028845978900790215,
-0.0002443862904328853,
-0.003200290724635124,
-0.07332520186901093,
0.0103093096986413,
-0.02176423743367195,
0.08186692744493484,
0.062309760600328445,
0.041548509150743484,
0.03986714780330658,
-0.06934201717376709,
-0.02295534498989582
] | null | null | null | null | null | null | null | [
-0.04345148056745529,
-0.00008379952487302944,
-0.030405227094888687,
0.03831811994314194,
0.04178407043218613,
-0.04500269144773483,
-0.041560206562280655,
-0.02951429970562458,
0.0314202681183815,
-0.04072008654475212,
-0.028001056984066963,
-0.031645312905311584,
0.02917230874300003,
-0.022572819143533707,
0.05914359912276268,
-0.058819837868213654,
-0.00914690364152193,
-0.1161530539393425,
-0.012887095101177692,
-0.0225193053483963,
0.06425796449184418,
-0.04573243856430054,
-0.10460836440324783,
-0.050797734409570694,
0.026005391031503677,
0.010345891118049622,
-0.026878828182816505,
0.011333842761814594,
-0.06596971303224564,
0.014580046758055687,
-0.0026044482365250587,
-0.030310826376080513,
-0.07940298318862915,
0.0012225741520524025,
-0.04379405453801155,
0.015587231144309044,
-0.022537685930728912,
0.07550772279500961,
0.10769941657781601,
0.07301505655050278,
0.12042692303657532,
-0.04099658131599426,
-0.06408554315567017,
0.014753688126802444,
-0.0038013807497918606,
0.044978246092796326,
-0.023224523290991783,
0.011535550467669964,
-0.036577582359313965,
-0.04261273145675659,
-0.11658420413732529,
-0.05033759027719498,
0.029199445620179176,
0.010374977253377438,
0.1031862124800682,
-0.02370101399719715,
0.056120097637176514,
-0.019227227196097374,
0.04470718279480934,
-0.006141771096736193,
0.04085212200880051,
-0.08316220343112946,
0.019223568961024284,
0.04026269540190697,
-0.022067423909902573,
0.06329777836799622,
0.011632082983851433,
0.11519072949886322,
0.03869883343577385,
-0.09695042669773102,
0.037041712552309036,
-0.01613607443869114,
-0.0771251693367958,
-0.054940201342105865,
0.02173587866127491,
-0.03024703450500965,
0.027634382247924805,
-0.019337065517902374,
-0.05069075897336006,
-0.018928224220871925,
0.014623335562646389,
0.0790981575846672,
-0.046817950904369354,
-0.018017232418060303,
-0.04626380279660225,
0.011899122968316078,
-0.02506362833082676,
-0.005294634960591793,
0.0747404396533966,
-0.07190404832363129,
-0.049860890954732895,
0.09771733731031418,
0.013114187866449356,
0.05047868564724922,
0.13055232167243958,
0.09602109342813492,
0.030025120824575424,
-0.05648639053106308,
0.00913134217262268,
0.054071709513664246,
0.03254837542772293,
-0.047183528542518616,
0.07450143992900848,
-0.02232940122485161,
0.04431208595633507,
-0.01187147106975317,
-0.005729891825467348,
0.024526577442884445,
-0.00835008081048727,
-0.040762923657894135,
-0.00802360475063324,
-0.018009820953011513,
0.01774619147181511,
-0.006613187026232481,
-0.02296641655266285,
-0.009268381632864475,
0.0729009211063385,
0.02874320186674595,
0.03664695471525192,
-0.003585969330742955,
0.08069021254777908,
-0.05024174600839615,
0.007669828366488218,
0.004206059500575066,
0.10023479163646698,
0.07479412853717804,
0.02780972234904766,
-2.368452874277948e-33,
-0.13456057012081146,
-0.0049543073400855064,
-0.023885855451226234,
0.04237215965986252,
0.07027103006839752,
0.036532897502183914,
0.020652001723647118,
0.0049711535684764385,
0.011189726181328297,
0.043579984456300735,
0.01382181141525507,
0.09621430188417435,
0.007958667352795601,
0.04196508601307869,
0.007459958549588919,
-0.034419603645801544,
0.025471849367022514,
-0.028701219707727432,
0.10496917366981506,
-0.023061348125338554,
0.07274896651506424,
0.01449534296989441,
0.0035489739384502172,
-0.03093392588198185,
-0.03244270011782646,
0.001205965643748641,
0.08415178954601288,
-0.018610581755638123,
0.02351117692887783,
-0.007637864910066128,
0.0524112805724144,
0.07400132715702057,
0.025941431522369385,
0.07384525239467621,
-0.03333166241645813,
-0.006178530864417553,
0.00754892872646451,
-0.022149961441755295,
-0.039848268032073975,
-0.015739943832159042,
-0.013964302837848663,
-0.01042147260159254,
-0.07815705984830856,
0.0003017419367097318,
-0.034805990755558014,
-0.002944714156910777,
0.089256152510643,
-0.04258570820093155,
-0.06214160844683647,
-0.06727337092161179,
-0.0038005532696843147,
0.0072619495913386345,
0.05769730731844902,
-0.03635433316230774,
0.010436125099658966,
0.09703028947114944,
-0.052322763949632645,
0.0007720126304775476,
0.053505439311265945,
0.045880112797021866,
-0.044498197734355927,
-0.05754069238901138,
0.03929055854678154,
-0.02902495488524437,
0.09978040307760239,
0.010974944569170475,
-0.036241572350263596,
-0.0014228104846552014,
0.024909531697630882,
0.0017023951513692737,
0.09478864818811417,
-0.034792497754096985,
-0.09380146861076355,
0.014619426801800728,
0.07106824219226837,
-0.03511545807123184,
-0.032526131719350815,
0.011846567504107952,
-0.09595223516225815,
0.04366500303149223,
-0.10541506111621857,
-0.019125260412693024,
-0.038974590599536896,
0.06698202341794968,
0.033938053995370865,
-0.06969310343265533,
-0.013719326816499233,
0.050103746354579926,
-0.04083050787448883,
-0.05488976091146469,
-0.07008258998394012,
0.028207629919052124,
0.055445775389671326,
0.032567836344242096,
0.03195734694600105,
-1.3228619449875506e-33,
-0.0723222941160202,
0.027577266097068787,
-0.08036812394857407,
0.0085232462733984,
0.03528199344873428,
-0.007798319216817617,
-0.12543582916259766,
-0.0310455821454525,
-0.07751866430044174,
0.01905149407684803,
-0.03505343571305275,
-0.045988552272319794,
-0.05065958946943283,
-0.05050737410783768,
0.051587190479040146,
-0.02826886810362339,
0.01860393024981022,
-0.03191497176885605,
0.0022586314007639885,
0.007936800830066204,
0.03073621354997158,
-0.019727252423763275,
-0.022717757150530815,
-0.00970605667680502,
0.07891009747982025,
0.04471447318792343,
-0.027138780802488327,
0.08306047320365906,
0.019864579662680626,
0.09559663385152817,
-0.10406972467899323,
-0.014784605242311954,
0.010788222774863243,
0.013446945697069168,
-0.030203521251678467,
0.13205291330814362,
0.01576651819050312,
-0.007445439696311951,
0.054296787828207016,
0.012071511708199978,
0.005779921542853117,
-0.13513410091400146,
-0.04395463317632675,
-0.054410170763731,
0.0060893171466887,
-0.04727545008063316,
-0.007201650645583868,
0.1104545146226883,
-0.0839778259396553,
0.024063197895884514,
0.03444407507777214,
0.04175766184926033,
-0.09899915009737015,
-0.04384804517030716,
-0.03130939602851868,
0.024050462990999222,
0.06958364695310593,
0.03994448855519295,
-0.044294003397226334,
-0.09572477638721466,
-0.04108881577849388,
-0.09063439816236496,
0.014255615882575512,
0.06693514436483383,
-0.033087871968746185,
-0.02892346866428852,
0.037586759775877,
-0.1357041299343109,
0.019705208018422127,
0.0073453509248793125,
0.02235950529575348,
0.05246764048933983,
-0.11994992196559906,
-0.051042500883340836,
0.030983123928308487,
-0.024789847433567047,
-0.01617768593132496,
0.04107995703816414,
0.02552599273622036,
-0.05172296240925789,
-0.05167924985289574,
0.07171298563480377,
0.0051005519926548,
-0.04553014785051346,
-0.035425540059804916,
-0.049901269376277924,
0.05269236862659454,
0.013661482371389866,
0.05518586188554764,
0.007164391689002514,
-0.023289985954761505,
-0.021965818479657173,
-0.05690229311585426,
0.056231748312711716,
-0.09184617549180984,
-4.902549477492357e-8,
-0.002738653216511011,
0.059934671968221664,
0.10692848265171051,
-0.009046805091202259,
0.0216389037668705,
-0.024447228759527206,
0.0584903359413147,
-0.0783495306968689,
-0.014432048425078392,
0.026881394907832146,
0.07388710975646973,
-0.021137557923793793,
0.0538768470287323,
0.012871431186795235,
-0.009039467200636864,
0.009212086908519268,
0.012808697298169136,
-0.024582484737038612,
-0.01733720861375332,
0.05944490432739258,
-0.0032144661527127028,
-0.026172136887907982,
-0.05327380821108818,
0.09864354133605957,
0.06458522379398346,
0.01639098860323429,
-0.025959260761737823,
-0.041452113538980484,
0.0269573125988245,
0.07031650841236115,
-0.024007640779018402,
-0.013333210721611977,
0.014604516327381134,
-0.013310257345438004,
-0.08490797132253647,
0.024430761113762856,
-0.007166586816310883,
-0.08038374036550522,
0.00758556742221117,
-0.03592361509799957,
-0.002938608406111598,
-0.05602307245135307,
0.010423277504742146,
-0.0033119572326540947,
0.014856671914458275,
-0.05239368602633476,
-0.06928837299346924,
-0.058368194848299026,
0.12490881234407425,
0.05020495131611824,
-0.04781325161457062,
-0.02988416515290737,
-0.028845978900790215,
-0.0002443862904328853,
-0.003200290724635124,
-0.07332520186901093,
0.0103093096986413,
-0.02176423743367195,
0.08186692744493484,
0.062309760600328445,
0.041548509150743484,
0.03986714780330658,
-0.06934201717376709,
-0.02295534498989582
] |
1401.0263 | Xiongwei Zhu | Xiongwei Zhu | The Roads to LPA Based Free Electron Laser | 5 pages, 2 figures | null | null | null | physics.acc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we simply outline the present status of the free electron
laser and the laser plasma based accelerator, and we simply discuss the
potential possible roads appearing in the accelerator community to use the
laser plasma based accelerator into the field of the free electron laser.
| [
{
"created": "Wed, 1 Jan 2014 08:12:43 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Zhu",
"Xiongwei",
""
]
] | [
-0.10092993080615997,
0.01852514035999775,
-0.034439586102962494,
0.040376611053943634,
-0.11306846141815186,
-0.012908280827105045,
-0.05054599046707153,
-0.0020646185148507357,
-0.05449901521205902,
-0.07187245041131973,
0.011801136657595634,
-0.07513018697500229,
0.027911778539419174,
-0.0640726163983345,
0.05054715648293495,
-0.025641556829214096,
0.0009024275932461023,
-0.032866258174180984,
0.04677531123161316,
0.008106483146548271,
-0.03564181923866272,
-0.09842093288898468,
0.01666388288140297,
-0.04164900630712509,
0.019278721883893013,
0.025928890332579613,
-0.017112012952566147,
-0.01459285244345665,
-0.04514336213469505,
0.01091897115111351,
0.07388869673013687,
-0.020343784242868423,
-0.04771518334746361,
0.07384487986564636,
0.00729690957814455,
-0.05146016180515289,
0.012641544453799725,
-0.0047677974216639996,
-0.0289877038449049,
0.04589774087071419,
0.010340657085180283,
-0.0690835639834404,
-0.03729649633169174,
-0.0027135787531733513,
0.057957060635089874,
-0.0038683332968503237,
0.03020106628537178,
-0.11839184910058975,
-0.0699298158288002,
0.037036724388599396,
-0.03382842615246773,
0.0036993655376136303,
-0.0036883933935314417,
-0.01933358423411846,
-0.03983007371425629,
-0.010352132841944695,
0.0011171066435053945,
0.03459608182311058,
-0.04804959148168564,
0.025307511910796165,
-0.0175902359187603,
-0.04341691732406616,
-0.03306859731674194,
0.06795823574066162,
0.018907731398940086,
-0.061594124883413315,
-0.021573951467871666,
-0.0004834531282540411,
0.045939404517412186,
-0.04982312023639679,
-0.016890110448002815,
-0.018805351108312607,
0.028736427426338196,
-0.018804114311933517,
-0.00009931011300068349,
-0.054919615387916565,
0.019908849149942398,
0.02488487772643566,
-0.005204169079661369,
0.031545281410217285,
0.07296018302440643,
-0.018090056255459785,
-0.07402031868696213,
0.12845838069915771,
-0.0340878888964653,
0.0923733189702034,
-0.022596323862671852,
-0.044681861996650696,
-0.005742516368627548,
-0.07794328778982162,
0.008047381415963173,
-0.06353073567152023,
-0.02301870658993721,
-0.005592436529695988,
-0.04052296280860901,
0.0112477270886302,
0.02693844586610794,
-0.04887455701828003,
-0.01990031823515892,
-0.015669086948037148,
0.012480877339839935,
-0.019109519198536873,
0.03637319058179855,
0.0007676014793105423,
-0.10025791078805923,
0.025537429377436638,
0.001886453595943749,
0.10621282458305359,
-0.10412956029176712,
0.03449881076812744,
0.06639695167541504,
-0.041769444942474365,
-0.002200488932430744,
-0.07926081866025925,
0.0352078415453434,
0.08112774044275284,
-0.06505533307790756,
-0.11295321583747864,
0.0137695437297225,
0.00029884633840993047,
-0.13187973201274872,
-0.051994241774082184,
0.05348307266831398,
0.08664073050022125,
0.04592469707131386,
0.03146790340542793,
-0.03619919344782829,
-3.9133011417820295e-33,
-0.01491277851164341,
0.057823870331048965,
-0.005113682243973017,
-0.10330835729837418,
0.010300355963408947,
0.0400877445936203,
-0.0025429788511246443,
0.06739496439695358,
-0.12507471442222595,
-0.042843446135520935,
0.030476730316877365,
0.022179123014211655,
0.02946530096232891,
0.045135147869586945,
0.01942707598209381,
-0.07508867979049683,
0.04207994416356087,
0.043025895953178406,
0.006271690130233765,
0.0902046486735344,
0.07054971903562546,
0.03538603335618973,
0.0006421697908081114,
0.09304168820381165,
-0.022882899269461632,
0.012662013992667198,
-0.08223892748355865,
0.011571729555726051,
-0.07229653000831604,
-0.0025647806469351053,
-0.01800917461514473,
0.15733745694160461,
-0.02670229971408844,
-0.02778148278594017,
-0.04623085632920265,
0.01794661022722721,
-0.1169053316116333,
0.02102074958384037,
-0.026938816532492638,
-0.004932376556098461,
0.015295322053134441,
0.06370651721954346,
-0.03258776292204857,
-0.10657843947410583,
0.04237492009997368,
-0.008730435743927956,
-0.02502349391579628,
-0.02051173709332943,
0.05077501758933067,
0.0017776242457330227,
0.014506828039884567,
0.06579405069351196,
-0.0901806652545929,
0.0334504172205925,
0.0760684534907341,
0.08470330387353897,
0.010385668836534023,
0.10848315805196762,
0.034535493701696396,
-0.020335154607892036,
-0.018100593239068985,
0.042965978384017944,
-0.031947631388902664,
0.03175731748342514,
-0.09323831647634506,
0.0021871498320251703,
0.055059127509593964,
0.04355965554714203,
-0.018731918185949326,
0.028659136965870857,
-0.01397139485925436,
0.01761116087436676,
0.06251871585845947,
-0.010669365525245667,
0.12677918374538422,
0.03185822069644928,
-0.07960517704486847,
0.08129239082336426,
0.004890762269496918,
-0.015020708553493023,
-0.005491502583026886,
-0.08713148534297943,
0.016820713877677917,
0.017017794772982597,
0.10503000766038895,
0.026312774047255516,
-0.022862283512949944,
0.035902272909879684,
-0.05135885253548622,
-0.032953329384326935,
0.04935656115412712,
-0.02568192593753338,
-0.08148570358753204,
-0.0009885362815111876,
-0.014172286726534367,
7.39237219081191e-34,
0.06592445075511932,
-0.006214130204170942,
0.009627418592572212,
0.018661046400666237,
0.03861507400870323,
0.05144597589969635,
-0.0009255385957658291,
0.01397431455552578,
-0.009903655387461185,
0.10538500547409058,
0.006061948370188475,
0.056919895112514496,
0.027439303696155548,
-0.007764577865600586,
0.015605222433805466,
-0.08345412462949753,
-0.0645754262804985,
-0.0037982959765940905,
-0.0040597631596028805,
0.0039980304427444935,
0.03930041939020157,
-0.020583635196089745,
-0.02103583514690399,
-0.006629969459027052,
0.02679755538702011,
-0.04124274477362633,
0.04455208778381348,
-0.04314675182104111,
-0.01896352507174015,
-0.0191244687885046,
-0.08523693680763245,
-0.013152341358363628,
-0.04884674400091171,
-0.010698503814637661,
0.06836079061031342,
-0.0766836628317833,
-0.051519230008125305,
0.027849363163113594,
0.01579740084707737,
-0.10170039534568787,
-0.031564079225063324,
0.002045342233031988,
0.018425000831484795,
0.01576680690050125,
0.0541633740067482,
0.0208725742995739,
-0.014817419461905956,
-0.01324473787099123,
0.02952357940375805,
0.03751511499285698,
-0.044752370566129684,
-0.04423633590340614,
0.06823954731225967,
0.0007968323770910501,
0.02847418375313282,
0.04836162179708481,
0.009241487830877304,
0.02055838331580162,
0.06751767545938492,
0.002584483241662383,
-0.030638352036476135,
-0.0019785668700933456,
0.044065557420253754,
0.054454099386930466,
0.016512688249349594,
-0.01914944127202034,
-0.035490360110998154,
0.08611240983009338,
-0.034936610609292984,
-0.0053110853768885136,
0.12733867764472961,
0.038436681032180786,
-0.009988198056817055,
0.017376216128468513,
-0.05146225169301033,
-0.014032512903213501,
0.056549470871686935,
0.02908431738615036,
0.031261369585990906,
-0.03630807250738144,
0.05094486102461815,
0.03601772338151932,
-0.011730991303920746,
-0.017139066010713577,
0.06685467809438705,
-0.011695874854922295,
0.005858785472810268,
-0.07737986743450165,
-0.048697154968976974,
-0.023838728666305542,
0.029715891927480698,
0.022144848480820656,
0.04516911506652832,
-0.08440740406513214,
0.026495540514588356,
-2.8149402808708146e-8,
0.0070238010957837105,
-0.0020351107232272625,
-0.04570300132036209,
0.1079263985157013,
0.13083624839782715,
-0.05641518160700798,
0.006479358300566673,
0.01764513924717903,
0.004644761327654123,
0.014627642929553986,
0.06045914068818092,
0.012462257407605648,
-0.03975404053926468,
0.1189611554145813,
0.020939093083143234,
0.03177855163812637,
-0.0026066198479384184,
-0.07120561599731445,
-0.031127111986279488,
0.06297570466995239,
0.022863442078232765,
-0.03405370935797691,
0.05281221121549606,
0.018791479989886284,
-0.09830939024686813,
0.002214929787442088,
0.04237234592437744,
-0.03110636956989765,
0.008131835609674454,
-0.04179486632347107,
-0.11371156573295593,
-0.06670238077640533,
0.03920518234372139,
0.008686278946697712,
0.008533310145139694,
-0.03396846726536751,
-0.03433796390891075,
-0.030396316200494766,
0.038850631564855576,
-0.01185673102736473,
0.01733262464404106,
-0.031548596918582916,
0.09069035947322845,
-0.029752718284726143,
-0.007660099770873785,
0.09765923023223877,
-0.06977346539497375,
-0.15373194217681885,
-0.025114821270108223,
0.0942329540848732,
-0.0229870043694973,
-0.0073422715067863464,
0.03125310316681862,
-0.0910521075129509,
-0.04468205198645592,
0.13562078773975372,
-0.003919202834367752,
-0.04936245456337929,
0.08011256903409958,
-0.01384825725108385,
0.09231463074684143,
-0.04583413153886795,
0.073275126516819,
0.02468385361135006
] | null | null | null | null | null | null | null | [
-0.10092993080615997,
0.01852514035999775,
-0.034439586102962494,
0.040376611053943634,
-0.11306846141815186,
-0.012908280827105045,
-0.05054599046707153,
-0.0020646185148507357,
-0.05449901521205902,
-0.07187245041131973,
0.011801136657595634,
-0.07513018697500229,
0.027911778539419174,
-0.0640726163983345,
0.05054715648293495,
-0.025641556829214096,
0.0009024275932461023,
-0.032866258174180984,
0.04677531123161316,
0.008106483146548271,
-0.03564181923866272,
-0.09842093288898468,
0.01666388288140297,
-0.04164900630712509,
0.019278721883893013,
0.025928890332579613,
-0.017112012952566147,
-0.01459285244345665,
-0.04514336213469505,
0.01091897115111351,
0.07388869673013687,
-0.020343784242868423,
-0.04771518334746361,
0.07384487986564636,
0.00729690957814455,
-0.05146016180515289,
0.012641544453799725,
-0.0047677974216639996,
-0.0289877038449049,
0.04589774087071419,
0.010340657085180283,
-0.0690835639834404,
-0.03729649633169174,
-0.0027135787531733513,
0.057957060635089874,
-0.0038683332968503237,
0.03020106628537178,
-0.11839184910058975,
-0.0699298158288002,
0.037036724388599396,
-0.03382842615246773,
0.0036993655376136303,
-0.0036883933935314417,
-0.01933358423411846,
-0.03983007371425629,
-0.010352132841944695,
0.0011171066435053945,
0.03459608182311058,
-0.04804959148168564,
0.025307511910796165,
-0.0175902359187603,
-0.04341691732406616,
-0.03306859731674194,
0.06795823574066162,
0.018907731398940086,
-0.061594124883413315,
-0.021573951467871666,
-0.0004834531282540411,
0.045939404517412186,
-0.04982312023639679,
-0.016890110448002815,
-0.018805351108312607,
0.028736427426338196,
-0.018804114311933517,
-0.00009931011300068349,
-0.054919615387916565,
0.019908849149942398,
0.02488487772643566,
-0.005204169079661369,
0.031545281410217285,
0.07296018302440643,
-0.018090056255459785,
-0.07402031868696213,
0.12845838069915771,
-0.0340878888964653,
0.0923733189702034,
-0.022596323862671852,
-0.044681861996650696,
-0.005742516368627548,
-0.07794328778982162,
0.008047381415963173,
-0.06353073567152023,
-0.02301870658993721,
-0.005592436529695988,
-0.04052296280860901,
0.0112477270886302,
0.02693844586610794,
-0.04887455701828003,
-0.01990031823515892,
-0.015669086948037148,
0.012480877339839935,
-0.019109519198536873,
0.03637319058179855,
0.0007676014793105423,
-0.10025791078805923,
0.025537429377436638,
0.001886453595943749,
0.10621282458305359,
-0.10412956029176712,
0.03449881076812744,
0.06639695167541504,
-0.041769444942474365,
-0.002200488932430744,
-0.07926081866025925,
0.0352078415453434,
0.08112774044275284,
-0.06505533307790756,
-0.11295321583747864,
0.0137695437297225,
0.00029884633840993047,
-0.13187973201274872,
-0.051994241774082184,
0.05348307266831398,
0.08664073050022125,
0.04592469707131386,
0.03146790340542793,
-0.03619919344782829,
-3.9133011417820295e-33,
-0.01491277851164341,
0.057823870331048965,
-0.005113682243973017,
-0.10330835729837418,
0.010300355963408947,
0.0400877445936203,
-0.0025429788511246443,
0.06739496439695358,
-0.12507471442222595,
-0.042843446135520935,
0.030476730316877365,
0.022179123014211655,
0.02946530096232891,
0.045135147869586945,
0.01942707598209381,
-0.07508867979049683,
0.04207994416356087,
0.043025895953178406,
0.006271690130233765,
0.0902046486735344,
0.07054971903562546,
0.03538603335618973,
0.0006421697908081114,
0.09304168820381165,
-0.022882899269461632,
0.012662013992667198,
-0.08223892748355865,
0.011571729555726051,
-0.07229653000831604,
-0.0025647806469351053,
-0.01800917461514473,
0.15733745694160461,
-0.02670229971408844,
-0.02778148278594017,
-0.04623085632920265,
0.01794661022722721,
-0.1169053316116333,
0.02102074958384037,
-0.026938816532492638,
-0.004932376556098461,
0.015295322053134441,
0.06370651721954346,
-0.03258776292204857,
-0.10657843947410583,
0.04237492009997368,
-0.008730435743927956,
-0.02502349391579628,
-0.02051173709332943,
0.05077501758933067,
0.0017776242457330227,
0.014506828039884567,
0.06579405069351196,
-0.0901806652545929,
0.0334504172205925,
0.0760684534907341,
0.08470330387353897,
0.010385668836534023,
0.10848315805196762,
0.034535493701696396,
-0.020335154607892036,
-0.018100593239068985,
0.042965978384017944,
-0.031947631388902664,
0.03175731748342514,
-0.09323831647634506,
0.0021871498320251703,
0.055059127509593964,
0.04355965554714203,
-0.018731918185949326,
0.028659136965870857,
-0.01397139485925436,
0.01761116087436676,
0.06251871585845947,
-0.010669365525245667,
0.12677918374538422,
0.03185822069644928,
-0.07960517704486847,
0.08129239082336426,
0.004890762269496918,
-0.015020708553493023,
-0.005491502583026886,
-0.08713148534297943,
0.016820713877677917,
0.017017794772982597,
0.10503000766038895,
0.026312774047255516,
-0.022862283512949944,
0.035902272909879684,
-0.05135885253548622,
-0.032953329384326935,
0.04935656115412712,
-0.02568192593753338,
-0.08148570358753204,
-0.0009885362815111876,
-0.014172286726534367,
7.39237219081191e-34,
0.06592445075511932,
-0.006214130204170942,
0.009627418592572212,
0.018661046400666237,
0.03861507400870323,
0.05144597589969635,
-0.0009255385957658291,
0.01397431455552578,
-0.009903655387461185,
0.10538500547409058,
0.006061948370188475,
0.056919895112514496,
0.027439303696155548,
-0.007764577865600586,
0.015605222433805466,
-0.08345412462949753,
-0.0645754262804985,
-0.0037982959765940905,
-0.0040597631596028805,
0.0039980304427444935,
0.03930041939020157,
-0.020583635196089745,
-0.02103583514690399,
-0.006629969459027052,
0.02679755538702011,
-0.04124274477362633,
0.04455208778381348,
-0.04314675182104111,
-0.01896352507174015,
-0.0191244687885046,
-0.08523693680763245,
-0.013152341358363628,
-0.04884674400091171,
-0.010698503814637661,
0.06836079061031342,
-0.0766836628317833,
-0.051519230008125305,
0.027849363163113594,
0.01579740084707737,
-0.10170039534568787,
-0.031564079225063324,
0.002045342233031988,
0.018425000831484795,
0.01576680690050125,
0.0541633740067482,
0.0208725742995739,
-0.014817419461905956,
-0.01324473787099123,
0.02952357940375805,
0.03751511499285698,
-0.044752370566129684,
-0.04423633590340614,
0.06823954731225967,
0.0007968323770910501,
0.02847418375313282,
0.04836162179708481,
0.009241487830877304,
0.02055838331580162,
0.06751767545938492,
0.002584483241662383,
-0.030638352036476135,
-0.0019785668700933456,
0.044065557420253754,
0.054454099386930466,
0.016512688249349594,
-0.01914944127202034,
-0.035490360110998154,
0.08611240983009338,
-0.034936610609292984,
-0.0053110853768885136,
0.12733867764472961,
0.038436681032180786,
-0.009988198056817055,
0.017376216128468513,
-0.05146225169301033,
-0.014032512903213501,
0.056549470871686935,
0.02908431738615036,
0.031261369585990906,
-0.03630807250738144,
0.05094486102461815,
0.03601772338151932,
-0.011730991303920746,
-0.017139066010713577,
0.06685467809438705,
-0.011695874854922295,
0.005858785472810268,
-0.07737986743450165,
-0.048697154968976974,
-0.023838728666305542,
0.029715891927480698,
0.022144848480820656,
0.04516911506652832,
-0.08440740406513214,
0.026495540514588356,
-2.8149402808708146e-8,
0.0070238010957837105,
-0.0020351107232272625,
-0.04570300132036209,
0.1079263985157013,
0.13083624839782715,
-0.05641518160700798,
0.006479358300566673,
0.01764513924717903,
0.004644761327654123,
0.014627642929553986,
0.06045914068818092,
0.012462257407605648,
-0.03975404053926468,
0.1189611554145813,
0.020939093083143234,
0.03177855163812637,
-0.0026066198479384184,
-0.07120561599731445,
-0.031127111986279488,
0.06297570466995239,
0.022863442078232765,
-0.03405370935797691,
0.05281221121549606,
0.018791479989886284,
-0.09830939024686813,
0.002214929787442088,
0.04237234592437744,
-0.03110636956989765,
0.008131835609674454,
-0.04179486632347107,
-0.11371156573295593,
-0.06670238077640533,
0.03920518234372139,
0.008686278946697712,
0.008533310145139694,
-0.03396846726536751,
-0.03433796390891075,
-0.030396316200494766,
0.038850631564855576,
-0.01185673102736473,
0.01733262464404106,
-0.031548596918582916,
0.09069035947322845,
-0.029752718284726143,
-0.007660099770873785,
0.09765923023223877,
-0.06977346539497375,
-0.15373194217681885,
-0.025114821270108223,
0.0942329540848732,
-0.0229870043694973,
-0.0073422715067863464,
0.03125310316681862,
-0.0910521075129509,
-0.04468205198645592,
0.13562078773975372,
-0.003919202834367752,
-0.04936245456337929,
0.08011256903409958,
-0.01384825725108385,
0.09231463074684143,
-0.04583413153886795,
0.073275126516819,
0.02468385361135006
] |
1401.0270 | Aurelio Agliolo Gallitto | Rosaria Conti, Aurelio Agliolo Gallitto, Emilio Fiordilino | Measurement of the convective heat-transfer coefficient | 8 pages, 2 embedded figures. Accepted for publication in The Physics
Teacher | Phys. Teach. 52 (2014) 109 | 10.1119/1.4862118 | null | physics.ed-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an experiment for investigating how objects cool down toward the
thermal equilibrium with its surrounding through convection. We describe the
time dependence of the temperature difference of the cooling object and the
environment with an exponential decay function. By measuring the thermal
constant tau, we determine the convective heat-transfer coefficient, which is a
characteristic constant of the convection system.
| [
{
"created": "Wed, 1 Jan 2014 10:38:03 GMT",
"version": "v1"
}
] | 2014-01-28 | [
[
"Conti",
"Rosaria",
""
],
[
"Gallitto",
"Aurelio Agliolo",
""
],
[
"Fiordilino",
"Emilio",
""
]
] | [
-0.0055596474558115005,
0.02039487659931183,
0.030407637357711792,
0.05332886427640915,
0.0692691057920456,
-0.1411251723766327,
-0.0152596989646554,
-0.03005373105406761,
0.07068879902362823,
0.04911930114030838,
0.004738841205835342,
-0.07189232110977173,
0.05261155590415001,
-0.034625086933374405,
0.04955464228987694,
-0.053671058267354965,
0.030428675934672356,
0.017404908314347267,
-0.017533261328935623,
-0.030676428228616714,
-0.11996651440858841,
0.008365947753190994,
-0.10069604963064194,
0.009395885281264782,
-0.004116078373044729,
0.009653570130467415,
-0.05264902859926224,
-0.0925484299659729,
-0.04111333191394806,
0.07458432763814926,
-0.0317189060151577,
-0.047688331454992294,
-0.080251544713974,
0.020849931985139847,
-0.0678817480802536,
-0.013177412562072277,
0.01567576453089714,
-0.03335733339190483,
-0.06315407156944275,
-0.022020574659109116,
0.019624648615717888,
0.03967990353703499,
0.030604295432567596,
-0.004261236172169447,
0.04109013453125954,
0.07249718904495239,
0.02202475629746914,
0.0290883369743824,
-0.06992821395397186,
0.006209006067365408,
0.025319088250398636,
0.04778272286057472,
-0.06295866519212723,
0.03850403428077698,
0.010820531286299229,
0.13330093026161194,
0.05926686152815819,
-0.06908981502056122,
-0.06376811116933823,
0.02537929266691208,
0.06511504203081131,
-0.0006891152588650584,
-0.07465942203998566,
0.008519371040165424,
0.00564687279984355,
-0.023278778418898582,
0.007090489845722914,
0.06481154263019562,
0.024312380701303482,
0.04076776280999184,
-0.0035669219214469194,
0.10082104057073593,
0.008340553380548954,
-0.08347093313932419,
0.04445483908057213,
-0.013780064880847931,
-0.028130842372775078,
-0.020568719133734703,
-0.00295388069935143,
-0.045964259654283524,
0.11791940033435822,
-0.04357552528381348,
-0.09457957744598389,
-0.07877874374389648,
-0.07821747660636902,
-0.022756213322281837,
0.12338390201330185,
0.015636088326573372,
-0.013345891609787941,
-0.0258106030523777,
0.005291925277560949,
0.03862348943948746,
-0.06920009106397629,
-0.09436643123626709,
-0.05103098228573799,
-0.025700384750962257,
0.043813515454530716,
0.06461812555789948,
0.06137188896536827,
-0.0033073732629418373,
-0.09816433489322662,
-0.06632472574710846,
0.00888589397072792,
0.12807638943195343,
-0.00019079979392699897,
0.05306873470544815,
0.03355337306857109,
-0.09125372767448425,
0.061605874449014664,
0.007985848933458328,
-0.030935006216168404,
-0.04161501303315163,
-0.04608973115682602,
0.024742435663938522,
0.08340498805046082,
-0.051974330097436905,
-0.008679019287228584,
0.03460327908396721,
-0.0012915142579004169,
-0.036371245980262756,
0.04045046865940094,
0.08559814840555191,
-0.015456635504961014,
0.007735996041446924,
0.014617267064750195,
0.06522428244352341,
0.03226791322231293,
-3.081814478043915e-33,
-0.016408968716859818,
-0.016541998833417892,
-0.03994690254330635,
0.04924563691020012,
0.09626836329698563,
-0.02519281394779682,
-0.01985922083258629,
0.07834512740373611,
0.025626476854085922,
0.06531975418329239,
0.05318141356110573,
0.003568653017282486,
-0.08690724521875381,
0.04270518198609352,
0.03867459297180176,
0.01621568389236927,
-0.013067875988781452,
0.016627967357635498,
-0.015720242634415627,
0.04899135231971741,
-0.04204874113202095,
-0.006220175884664059,
-0.02499919757246971,
-0.009643915109336376,
0.027592364698648453,
0.0062914215959608555,
-0.029166392982006073,
-0.0283582154661417,
-0.08196257054805756,
0.005273750517517328,
0.04727122187614441,
-0.011909629218280315,
-0.16112354397773743,
0.003009677864611149,
-0.028586504980921745,
-0.03146253898739815,
-0.0015021545113995671,
0.066702701151371,
0.029775718227028847,
0.01285818312317133,
-0.01147206500172615,
-0.03471849486231804,
0.005512304604053497,
0.05753901228308678,
-0.06789910793304443,
-0.05836286395788193,
0.049919210374355316,
-0.008262289687991142,
0.018333230167627335,
0.0005534038064070046,
0.025724245235323906,
-0.05261807143688202,
-0.09250522404909134,
-0.05577573925256729,
-0.025384267792105675,
-0.0262351855635643,
0.07133213430643082,
0.04321793094277382,
-0.016013560816645622,
-0.035888973623514175,
-0.0009034735849127173,
0.005589636508375406,
0.030175110325217247,
-0.08506132662296295,
-0.007417461834847927,
0.06502317637205124,
-0.04256439581513405,
0.002288902411237359,
-0.0426340326666832,
0.0045019215904176235,
0.020667562261223793,
0.01790187694132328,
-0.0010260947747156024,
-0.008256725035607815,
0.01035231165587902,
0.001308930804952979,
0.004954393953084946,
-0.007282652892172337,
-0.04238616302609444,
-0.04350482299923897,
-0.04439806938171387,
-0.0738021731376648,
-0.02376294508576393,
-0.06808456033468246,
-0.05398496985435486,
-0.07873092591762543,
0.030156956985592842,
0.002388767432421446,
0.015138791874051094,
0.03436412662267685,
-0.099187932908535,
-0.007863781414926052,
0.060523711144924164,
0.05811242386698723,
0.027908872812986374,
-3.1305012500030665e-34,
0.01061810553073883,
-0.04492330551147461,
-0.042004864662885666,
0.10421253740787506,
-0.03101634420454502,
0.03352644294500351,
-0.058202918618917465,
0.06637568026781082,
-0.035385336726903915,
-0.04753481224179268,
0.03761635720729828,
0.042662788182497025,
0.01579929329454899,
0.005677763372659683,
0.09286302328109741,
-0.04641452059149742,
0.008182285353541374,
-0.07037226855754852,
-0.028877485543489456,
-0.00896506104618311,
-0.03038286603987217,
0.0003881323791574687,
-0.00013413028500508517,
-0.04099344089627266,
-0.013589905574917793,
0.013516774401068687,
0.03487537428736687,
-0.000004315333626436768,
0.04627177491784096,
-0.04169582203030586,
-0.0799008458852768,
-0.009361675009131432,
0.03974265232682228,
0.03738529980182648,
-0.05625317618250847,
0.01072271354496479,
0.1213994100689888,
-0.06856018304824829,
0.02675379253923893,
-0.0456952303647995,
0.09101032465696335,
0.036657560616731644,
0.05647258833050728,
0.061401885002851486,
-0.0033659369219094515,
-0.006471166852861643,
-0.05332477390766144,
0.024853849783539772,
0.08280915766954422,
-0.008748924359679222,
0.10897140204906464,
-0.050026971846818924,
-0.059167731553316116,
-0.025771798565983772,
0.011605293489992619,
0.05362657457590103,
0.01727692410349846,
0.04775363206863403,
0.07805833220481873,
-0.040044620633125305,
-0.015999753028154373,
-0.06863029301166534,
0.04161601513624191,
0.027550144121050835,
-0.014484685845673084,
0.03662024810910225,
-0.08766000717878342,
0.025512579828500748,
0.03758345916867256,
0.006943859625607729,
0.10691756010055542,
0.0670878067612648,
-0.0710567757487297,
-0.019954849034547806,
-0.0071851946413517,
0.05261894315481186,
0.04545316845178604,
-0.024050192907452583,
0.03795977309346199,
0.0820976048707962,
-0.14852669835090637,
0.0006561384652741253,
0.008917023427784443,
-0.008393448777496815,
0.056920818984508514,
-0.1159246489405632,
-0.06644789129495621,
-0.027117982506752014,
-0.05108294636011124,
0.006526283919811249,
-0.022789394482970238,
-0.02548573538661003,
0.07590249180793762,
-0.06883343309164047,
-0.013566973619163036,
-3.9440617882746665e-8,
-0.04219989851117134,
-0.06806358695030212,
0.019427593797445297,
0.0756760984659195,
0.003536625998094678,
0.08108782768249512,
0.02547965943813324,
-0.07269776612520218,
0.027621401473879814,
-0.04284944757819176,
-0.008212885819375515,
0.04648818075656891,
0.07249614596366882,
0.01271991990506649,
-0.04193813353776932,
0.03412114828824997,
-0.022405628114938736,
-0.09087523818016052,
0.0045388564467430115,
-0.03760925680398941,
0.006635588593780994,
0.04444851353764534,
0.04890550673007965,
0.008901425637304783,
-0.005800170823931694,
0.07732823491096497,
-0.004639232065528631,
0.004933527670800686,
0.06945677846670151,
-0.039612166583538055,
-0.08819067478179932,
0.0025406633503735065,
-0.05227270722389221,
-0.003129122545942664,
0.08327513933181763,
-0.0037895210552960634,
0.059878941625356674,
0.07741615921258926,
0.03150060400366783,
0.01841774582862854,
-0.00036307607661001384,
0.013968255370855331,
-0.1492239534854889,
0.005042066797614098,
0.04773658886551857,
0.009552812203764915,
0.013418952003121376,
-0.023808499798178673,
-0.062093328684568405,
0.11191677302122116,
0.04100969061255455,
-0.004827262368053198,
-0.023215698078274727,
0.012275460176169872,
-0.08621467649936676,
-0.1077040508389473,
-0.039156001061201096,
-0.006006636656820774,
-0.0007930452702566981,
0.05078714340925217,
-0.051591094583272934,
0.05751395970582962,
-0.03791661188006401,
-0.01248926855623722
] | null | null | null | null | null | null | null | [
-0.0055596474558115005,
0.02039487659931183,
0.030407637357711792,
0.05332886427640915,
0.0692691057920456,
-0.1411251723766327,
-0.0152596989646554,
-0.03005373105406761,
0.07068879902362823,
0.04911930114030838,
0.004738841205835342,
-0.07189232110977173,
0.05261155590415001,
-0.034625086933374405,
0.04955464228987694,
-0.053671058267354965,
0.030428675934672356,
0.017404908314347267,
-0.017533261328935623,
-0.030676428228616714,
-0.11996651440858841,
0.008365947753190994,
-0.10069604963064194,
0.009395885281264782,
-0.004116078373044729,
0.009653570130467415,
-0.05264902859926224,
-0.0925484299659729,
-0.04111333191394806,
0.07458432763814926,
-0.0317189060151577,
-0.047688331454992294,
-0.080251544713974,
0.020849931985139847,
-0.0678817480802536,
-0.013177412562072277,
0.01567576453089714,
-0.03335733339190483,
-0.06315407156944275,
-0.022020574659109116,
0.019624648615717888,
0.03967990353703499,
0.030604295432567596,
-0.004261236172169447,
0.04109013453125954,
0.07249718904495239,
0.02202475629746914,
0.0290883369743824,
-0.06992821395397186,
0.006209006067365408,
0.025319088250398636,
0.04778272286057472,
-0.06295866519212723,
0.03850403428077698,
0.010820531286299229,
0.13330093026161194,
0.05926686152815819,
-0.06908981502056122,
-0.06376811116933823,
0.02537929266691208,
0.06511504203081131,
-0.0006891152588650584,
-0.07465942203998566,
0.008519371040165424,
0.00564687279984355,
-0.023278778418898582,
0.007090489845722914,
0.06481154263019562,
0.024312380701303482,
0.04076776280999184,
-0.0035669219214469194,
0.10082104057073593,
0.008340553380548954,
-0.08347093313932419,
0.04445483908057213,
-0.013780064880847931,
-0.028130842372775078,
-0.020568719133734703,
-0.00295388069935143,
-0.045964259654283524,
0.11791940033435822,
-0.04357552528381348,
-0.09457957744598389,
-0.07877874374389648,
-0.07821747660636902,
-0.022756213322281837,
0.12338390201330185,
0.015636088326573372,
-0.013345891609787941,
-0.0258106030523777,
0.005291925277560949,
0.03862348943948746,
-0.06920009106397629,
-0.09436643123626709,
-0.05103098228573799,
-0.025700384750962257,
0.043813515454530716,
0.06461812555789948,
0.06137188896536827,
-0.0033073732629418373,
-0.09816433489322662,
-0.06632472574710846,
0.00888589397072792,
0.12807638943195343,
-0.00019079979392699897,
0.05306873470544815,
0.03355337306857109,
-0.09125372767448425,
0.061605874449014664,
0.007985848933458328,
-0.030935006216168404,
-0.04161501303315163,
-0.04608973115682602,
0.024742435663938522,
0.08340498805046082,
-0.051974330097436905,
-0.008679019287228584,
0.03460327908396721,
-0.0012915142579004169,
-0.036371245980262756,
0.04045046865940094,
0.08559814840555191,
-0.015456635504961014,
0.007735996041446924,
0.014617267064750195,
0.06522428244352341,
0.03226791322231293,
-3.081814478043915e-33,
-0.016408968716859818,
-0.016541998833417892,
-0.03994690254330635,
0.04924563691020012,
0.09626836329698563,
-0.02519281394779682,
-0.01985922083258629,
0.07834512740373611,
0.025626476854085922,
0.06531975418329239,
0.05318141356110573,
0.003568653017282486,
-0.08690724521875381,
0.04270518198609352,
0.03867459297180176,
0.01621568389236927,
-0.013067875988781452,
0.016627967357635498,
-0.015720242634415627,
0.04899135231971741,
-0.04204874113202095,
-0.006220175884664059,
-0.02499919757246971,
-0.009643915109336376,
0.027592364698648453,
0.0062914215959608555,
-0.029166392982006073,
-0.0283582154661417,
-0.08196257054805756,
0.005273750517517328,
0.04727122187614441,
-0.011909629218280315,
-0.16112354397773743,
0.003009677864611149,
-0.028586504980921745,
-0.03146253898739815,
-0.0015021545113995671,
0.066702701151371,
0.029775718227028847,
0.01285818312317133,
-0.01147206500172615,
-0.03471849486231804,
0.005512304604053497,
0.05753901228308678,
-0.06789910793304443,
-0.05836286395788193,
0.049919210374355316,
-0.008262289687991142,
0.018333230167627335,
0.0005534038064070046,
0.025724245235323906,
-0.05261807143688202,
-0.09250522404909134,
-0.05577573925256729,
-0.025384267792105675,
-0.0262351855635643,
0.07133213430643082,
0.04321793094277382,
-0.016013560816645622,
-0.035888973623514175,
-0.0009034735849127173,
0.005589636508375406,
0.030175110325217247,
-0.08506132662296295,
-0.007417461834847927,
0.06502317637205124,
-0.04256439581513405,
0.002288902411237359,
-0.0426340326666832,
0.0045019215904176235,
0.020667562261223793,
0.01790187694132328,
-0.0010260947747156024,
-0.008256725035607815,
0.01035231165587902,
0.001308930804952979,
0.004954393953084946,
-0.007282652892172337,
-0.04238616302609444,
-0.04350482299923897,
-0.04439806938171387,
-0.0738021731376648,
-0.02376294508576393,
-0.06808456033468246,
-0.05398496985435486,
-0.07873092591762543,
0.030156956985592842,
0.002388767432421446,
0.015138791874051094,
0.03436412662267685,
-0.099187932908535,
-0.007863781414926052,
0.060523711144924164,
0.05811242386698723,
0.027908872812986374,
-3.1305012500030665e-34,
0.01061810553073883,
-0.04492330551147461,
-0.042004864662885666,
0.10421253740787506,
-0.03101634420454502,
0.03352644294500351,
-0.058202918618917465,
0.06637568026781082,
-0.035385336726903915,
-0.04753481224179268,
0.03761635720729828,
0.042662788182497025,
0.01579929329454899,
0.005677763372659683,
0.09286302328109741,
-0.04641452059149742,
0.008182285353541374,
-0.07037226855754852,
-0.028877485543489456,
-0.00896506104618311,
-0.03038286603987217,
0.0003881323791574687,
-0.00013413028500508517,
-0.04099344089627266,
-0.013589905574917793,
0.013516774401068687,
0.03487537428736687,
-0.000004315333626436768,
0.04627177491784096,
-0.04169582203030586,
-0.0799008458852768,
-0.009361675009131432,
0.03974265232682228,
0.03738529980182648,
-0.05625317618250847,
0.01072271354496479,
0.1213994100689888,
-0.06856018304824829,
0.02675379253923893,
-0.0456952303647995,
0.09101032465696335,
0.036657560616731644,
0.05647258833050728,
0.061401885002851486,
-0.0033659369219094515,
-0.006471166852861643,
-0.05332477390766144,
0.024853849783539772,
0.08280915766954422,
-0.008748924359679222,
0.10897140204906464,
-0.050026971846818924,
-0.059167731553316116,
-0.025771798565983772,
0.011605293489992619,
0.05362657457590103,
0.01727692410349846,
0.04775363206863403,
0.07805833220481873,
-0.040044620633125305,
-0.015999753028154373,
-0.06863029301166534,
0.04161601513624191,
0.027550144121050835,
-0.014484685845673084,
0.03662024810910225,
-0.08766000717878342,
0.025512579828500748,
0.03758345916867256,
0.006943859625607729,
0.10691756010055542,
0.0670878067612648,
-0.0710567757487297,
-0.019954849034547806,
-0.0071851946413517,
0.05261894315481186,
0.04545316845178604,
-0.024050192907452583,
0.03795977309346199,
0.0820976048707962,
-0.14852669835090637,
0.0006561384652741253,
0.008917023427784443,
-0.008393448777496815,
0.056920818984508514,
-0.1159246489405632,
-0.06644789129495621,
-0.027117982506752014,
-0.05108294636011124,
0.006526283919811249,
-0.022789394482970238,
-0.02548573538661003,
0.07590249180793762,
-0.06883343309164047,
-0.013566973619163036,
-3.9440617882746665e-8,
-0.04219989851117134,
-0.06806358695030212,
0.019427593797445297,
0.0756760984659195,
0.003536625998094678,
0.08108782768249512,
0.02547965943813324,
-0.07269776612520218,
0.027621401473879814,
-0.04284944757819176,
-0.008212885819375515,
0.04648818075656891,
0.07249614596366882,
0.01271991990506649,
-0.04193813353776932,
0.03412114828824997,
-0.022405628114938736,
-0.09087523818016052,
0.0045388564467430115,
-0.03760925680398941,
0.006635588593780994,
0.04444851353764534,
0.04890550673007965,
0.008901425637304783,
-0.005800170823931694,
0.07732823491096497,
-0.004639232065528631,
0.004933527670800686,
0.06945677846670151,
-0.039612166583538055,
-0.08819067478179932,
0.0025406633503735065,
-0.05227270722389221,
-0.003129122545942664,
0.08327513933181763,
-0.0037895210552960634,
0.059878941625356674,
0.07741615921258926,
0.03150060400366783,
0.01841774582862854,
-0.00036307607661001384,
0.013968255370855331,
-0.1492239534854889,
0.005042066797614098,
0.04773658886551857,
0.009552812203764915,
0.013418952003121376,
-0.023808499798178673,
-0.062093328684568405,
0.11191677302122116,
0.04100969061255455,
-0.004827262368053198,
-0.023215698078274727,
0.012275460176169872,
-0.08621467649936676,
-0.1077040508389473,
-0.039156001061201096,
-0.006006636656820774,
-0.0007930452702566981,
0.05078714340925217,
-0.051591094583272934,
0.05751395970582962,
-0.03791661188006401,
-0.01248926855623722
] |
1401.0279 | Darko Dimitrov | Darko Dimitrov | On structural properties of trees with minimal atom-bond connectivity
index | null | null | null | null | cs.DM math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The {\em atom-bond connectivity (ABC) index} is a degree-based molecular
descriptor, that found chemical applications. It is well known that among all
connected graphs, the graphs with minimal ABC index are trees. A complete
characterization of trees with minimal $ABC$ index is still an open problem. In
this paper, we present new structural properties of trees with minimal ABC
index. Our main results reveal that trees with minimal ABC index do not contain
so-called {\em $B_k$-branches}, with $k \geq 5$, and that they do not have more
than four $B_4$-branches.
| [
{
"created": "Wed, 1 Jan 2014 12:44:58 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Dimitrov",
"Darko",
""
]
] | [
0.03873225301504135,
0.03288017585873604,
-0.03047853894531727,
0.020555803552269936,
0.01577524095773697,
0.03280879929661751,
-0.028457436710596085,
0.026506079360842705,
0.08383230119943619,
0.0035176791716367006,
0.02667551301419735,
0.010007613338530064,
0.0021229865960776806,
0.04948416352272034,
-0.01552128791809082,
0.025498541072010994,
-0.10047303885221481,
0.035988423973321915,
-0.011874602176249027,
0.02727065421640873,
0.004514378495514393,
0.03578706085681915,
-0.017109258100390434,
-0.014232142828404903,
0.0007758332649245858,
0.020932992920279503,
0.005777620244771242,
0.009045006707310677,
0.04752833768725395,
-0.017641890794038773,
-0.008192641660571098,
0.003622162388637662,
0.07677149772644043,
0.040873050689697266,
0.0331379659473896,
-0.03983721882104874,
0.014637287706136703,
-0.046611640602350235,
0.02572234533727169,
0.031114263460040092,
0.03221028298139572,
0.08222801983356476,
0.05938590317964554,
0.02125971019268036,
-0.02146509289741516,
0.024112168699502945,
-0.0646887719631195,
0.036033518612384796,
-0.06415358185768127,
-0.08428985625505447,
-0.009957161732017994,
0.007107245735824108,
-0.09492572396993637,
-0.021941399201750755,
0.021698620170354843,
0.05330297723412514,
-0.07433776557445526,
-0.03638087213039398,
-0.00987686775624752,
0.05570206046104431,
0.20001280307769775,
0.036448121070861816,
0.015113716013729572,
-0.020621368661522865,
0.011209669522941113,
0.1260058879852295,
0.0735161304473877,
-0.017366250976920128,
0.036653146147727966,
0.004253140650689602,
-0.016943473368883133,
-0.002210509730502963,
-0.05830618739128113,
0.03584149479866028,
0.05136345326900482,
0.056302253156900406,
0.05394665151834488,
0.008080531843006611,
-0.033090751618146896,
-0.09508658945560455,
-0.0972919911146164,
0.010027813725173473,
-0.018828438594937325,
0.04993051663041115,
-0.014167355373501778,
-0.04027833789587021,
-0.018556583672761917,
-0.036986030638217926,
-0.051070816814899445,
0.024876071140170097,
0.0049399142153561115,
0.02728406898677349,
-0.030757403001189232,
-0.054507095366716385,
-0.06294779479503632,
0.07521655410528183,
0.05659623444080353,
0.04928511753678322,
-0.041040319949388504,
0.024089140817523003,
-0.009455110877752304,
0.036042265594005585,
-0.022141125053167343,
-0.04362120106816292,
-0.05603766441345215,
0.11298052966594696,
-0.010482702404260635,
-0.05516728013753891,
0.003513995325192809,
-0.02242870442569256,
0.0032525681890547276,
0.00472154701128602,
-0.03699257969856262,
-0.009004822000861168,
0.0006182788056321442,
-0.0790485292673111,
0.007653455715626478,
-0.06273970752954483,
0.0804564580321312,
0.0647735595703125,
-0.002371801296249032,
0.003216247772797942,
-0.038402799516916275,
-0.03128381818532944,
0.013364375568926334,
-0.03556191548705101,
-0.07752937078475952,
9.597136282876404e-34,
0.09086988866329193,
0.06257263571023941,
0.07761730998754501,
-0.04787931963801384,
0.05085316672921181,
-0.035417672246694565,
-0.08137653768062592,
-0.03530513122677803,
-0.11091367155313492,
0.024163229390978813,
-0.14134158194065094,
0.026135442778468132,
0.07016918063163757,
-0.04682726413011551,
0.02999182604253292,
0.02970845252275467,
0.031017053872346878,
-0.002499822061508894,
0.05115808546543121,
-0.041513312608003616,
-0.045490019023418427,
0.058831147849559784,
-0.011765825562179089,
-0.02516602911055088,
0.05172701179981232,
0.009630194865167141,
0.022638417780399323,
-0.04813322052359581,
0.026924077421426773,
-0.03568138927221298,
-0.051917511969804764,
0.02741236984729767,
-0.015013736672699451,
0.026404688134789467,
0.038643136620521545,
-0.0038055861368775368,
-0.04758356511592865,
0.011116057634353638,
-0.05512364208698273,
-0.0662519708275795,
0.007933135144412518,
0.04703656956553459,
-0.007293198723345995,
0.04170285910367966,
0.02948812022805214,
0.08331942558288574,
-0.043656881898641586,
-0.020572366192936897,
-0.02544368989765644,
0.00016979705833364278,
-0.0508258193731308,
0.019850963726639748,
-0.004402406979352236,
0.03677721694111824,
-0.026117699220776558,
0.016953039914369583,
0.009894178248941898,
0.08544690907001495,
-0.01845918409526348,
0.0962640643119812,
-0.014865838922560215,
0.0023706809151917696,
-0.062166258692741394,
0.004676910117268562,
0.019909590482711792,
0.08343331515789032,
-0.11149904131889343,
-0.0345626026391983,
0.04376215487718582,
0.0027313593309372663,
-0.05834965407848358,
0.05466391146183014,
0.041293222457170486,
-0.07377231866121292,
-0.003281954675912857,
0.022589096799492836,
-0.053023066371679306,
-0.12035690993070602,
0.01624319888651371,
0.0487704798579216,
-0.0619586706161499,
-0.08470238745212555,
0.08935827761888504,
-0.07006154954433441,
-0.002867198782041669,
-0.100273996591568,
-0.004574308637529612,
-0.009669356979429722,
0.057277221232652664,
-0.00481322780251503,
0.0386824831366539,
-0.06414268165826797,
0.039030905812978745,
-0.040568120777606964,
0.04758090525865555,
-2.6186956014298505e-33,
0.0063130720518529415,
-0.06796087324619293,
0.10168645530939102,
0.005744490306824446,
-0.01942344382405281,
-0.049764953553676605,
-0.019598407670855522,
-0.07563764601945877,
-0.06847406923770905,
-0.012927732430398464,
0.14429450035095215,
0.037744440138339996,
-0.008946928195655346,
-0.09257221966981888,
0.027821803465485573,
0.05426289886236191,
0.012708594091236591,
-0.017117829993367195,
0.07539080083370209,
0.03319123387336731,
0.05723504349589348,
0.05318004637956619,
-0.01721544750034809,
0.00928307045251131,
0.008432742208242416,
-0.03628547117114067,
0.001731029711663723,
-0.056033603847026825,
0.00729595310986042,
-0.02955448254942894,
0.04529154300689697,
0.0037394994869828224,
-0.03534155711531639,
-0.05745267495512962,
-0.09842974692583084,
0.026268018409609795,
-0.04232983663678169,
-0.0789303183555603,
-0.016802053898572922,
0.04359780624508858,
-0.02050716057419777,
0.004371548071503639,
-0.020013293251395226,
0.04169687256217003,
0.09529055655002594,
0.04928695037961006,
-0.07976876944303513,
0.03112243115901947,
-0.046134863048791885,
-0.029118528589606285,
0.033984895795583725,
-0.016860248520970345,
0.06564486026763916,
-0.052834536880254745,
0.01572663150727749,
-0.012108149006962776,
-0.0511927455663681,
0.07235898077487946,
0.019801387563347816,
0.026281805709004402,
0.047103945165872574,
-0.08174841850996017,
-0.017869338393211365,
-0.02516833320260048,
-0.03411508724093437,
-0.09527729451656342,
-0.030788766220211983,
-0.0201277956366539,
-0.0162572730332613,
-0.04284292459487915,
0.03701198846101761,
0.019768938422203064,
0.0201470535248518,
0.011348450556397438,
0.013519072905182838,
0.0010509589919820428,
0.01373087614774704,
-0.0540115088224411,
-0.07124270498752594,
0.05983447656035423,
-0.09808791428804398,
0.10316808521747589,
-0.04119123890995979,
0.0328666977584362,
0.025186611339449883,
-0.0211880374699831,
0.004146995954215527,
0.04767101630568504,
0.038037024438381195,
0.05138399824500084,
-0.052588894963264465,
0.026844359934329987,
0.04335338994860649,
0.07805448025465012,
0.026891229674220085,
-3.939362969163085e-8,
-0.042660750448703766,
-0.010205427184700966,
-0.05535642430186272,
-0.11408770084381104,
0.014663749374449253,
0.029068194329738617,
0.05727078393101692,
0.11261505633592606,
-0.030812634155154228,
0.04285125806927681,
0.11031600832939148,
0.007535181008279324,
-0.12402033805847168,
0.07971028238534927,
0.05886441469192505,
-0.029329659417271614,
-0.015100301243364811,
-0.06136132776737213,
0.021552473306655884,
0.0391106903553009,
-0.037364933639764786,
0.02727658860385418,
-0.05772289261221886,
0.07062993943691254,
-0.005078812129795551,
-0.09763486683368683,
0.055797625333070755,
-0.013955177739262581,
-0.05083785951137543,
0.0516042485833168,
0.010400718078017235,
0.024790216237306595,
0.08502408862113953,
0.06764979660511017,
0.013128533959388733,
0.04311929643154144,
-0.007593953981995583,
0.024897269904613495,
-0.12739455699920654,
0.016845155507326126,
0.02903083711862564,
-0.06810980290174484,
-0.0802852064371109,
0.004296485334634781,
0.023769699037075043,
-0.02861289121210575,
0.0211911890655756,
0.13854221999645233,
0.01984991692006588,
-0.037391554564237595,
-0.02672833949327469,
-0.04442199692130089,
-0.11436790227890015,
-0.10297007113695145,
-0.04527723789215088,
0.0028011256363242865,
-0.028751712292432785,
0.0124412402510643,
0.059947021305561066,
-0.06684329360723495,
-0.0009068307117559016,
-0.0858258381485939,
0.0329144112765789,
-0.009873717091977596
] | null | null | null | null | null | null | null | [
0.03873225301504135,
0.03288017585873604,
-0.03047853894531727,
0.020555803552269936,
0.01577524095773697,
0.03280879929661751,
-0.028457436710596085,
0.026506079360842705,
0.08383230119943619,
0.0035176791716367006,
0.02667551301419735,
0.010007613338530064,
0.0021229865960776806,
0.04948416352272034,
-0.01552128791809082,
0.025498541072010994,
-0.10047303885221481,
0.035988423973321915,
-0.011874602176249027,
0.02727065421640873,
0.004514378495514393,
0.03578706085681915,
-0.017109258100390434,
-0.014232142828404903,
0.0007758332649245858,
0.020932992920279503,
0.005777620244771242,
0.009045006707310677,
0.04752833768725395,
-0.017641890794038773,
-0.008192641660571098,
0.003622162388637662,
0.07677149772644043,
0.040873050689697266,
0.0331379659473896,
-0.03983721882104874,
0.014637287706136703,
-0.046611640602350235,
0.02572234533727169,
0.031114263460040092,
0.03221028298139572,
0.08222801983356476,
0.05938590317964554,
0.02125971019268036,
-0.02146509289741516,
0.024112168699502945,
-0.0646887719631195,
0.036033518612384796,
-0.06415358185768127,
-0.08428985625505447,
-0.009957161732017994,
0.007107245735824108,
-0.09492572396993637,
-0.021941399201750755,
0.021698620170354843,
0.05330297723412514,
-0.07433776557445526,
-0.03638087213039398,
-0.00987686775624752,
0.05570206046104431,
0.20001280307769775,
0.036448121070861816,
0.015113716013729572,
-0.020621368661522865,
0.011209669522941113,
0.1260058879852295,
0.0735161304473877,
-0.017366250976920128,
0.036653146147727966,
0.004253140650689602,
-0.016943473368883133,
-0.002210509730502963,
-0.05830618739128113,
0.03584149479866028,
0.05136345326900482,
0.056302253156900406,
0.05394665151834488,
0.008080531843006611,
-0.033090751618146896,
-0.09508658945560455,
-0.0972919911146164,
0.010027813725173473,
-0.018828438594937325,
0.04993051663041115,
-0.014167355373501778,
-0.04027833789587021,
-0.018556583672761917,
-0.036986030638217926,
-0.051070816814899445,
0.024876071140170097,
0.0049399142153561115,
0.02728406898677349,
-0.030757403001189232,
-0.054507095366716385,
-0.06294779479503632,
0.07521655410528183,
0.05659623444080353,
0.04928511753678322,
-0.041040319949388504,
0.024089140817523003,
-0.009455110877752304,
0.036042265594005585,
-0.022141125053167343,
-0.04362120106816292,
-0.05603766441345215,
0.11298052966594696,
-0.010482702404260635,
-0.05516728013753891,
0.003513995325192809,
-0.02242870442569256,
0.0032525681890547276,
0.00472154701128602,
-0.03699257969856262,
-0.009004822000861168,
0.0006182788056321442,
-0.0790485292673111,
0.007653455715626478,
-0.06273970752954483,
0.0804564580321312,
0.0647735595703125,
-0.002371801296249032,
0.003216247772797942,
-0.038402799516916275,
-0.03128381818532944,
0.013364375568926334,
-0.03556191548705101,
-0.07752937078475952,
9.597136282876404e-34,
0.09086988866329193,
0.06257263571023941,
0.07761730998754501,
-0.04787931963801384,
0.05085316672921181,
-0.035417672246694565,
-0.08137653768062592,
-0.03530513122677803,
-0.11091367155313492,
0.024163229390978813,
-0.14134158194065094,
0.026135442778468132,
0.07016918063163757,
-0.04682726413011551,
0.02999182604253292,
0.02970845252275467,
0.031017053872346878,
-0.002499822061508894,
0.05115808546543121,
-0.041513312608003616,
-0.045490019023418427,
0.058831147849559784,
-0.011765825562179089,
-0.02516602911055088,
0.05172701179981232,
0.009630194865167141,
0.022638417780399323,
-0.04813322052359581,
0.026924077421426773,
-0.03568138927221298,
-0.051917511969804764,
0.02741236984729767,
-0.015013736672699451,
0.026404688134789467,
0.038643136620521545,
-0.0038055861368775368,
-0.04758356511592865,
0.011116057634353638,
-0.05512364208698273,
-0.0662519708275795,
0.007933135144412518,
0.04703656956553459,
-0.007293198723345995,
0.04170285910367966,
0.02948812022805214,
0.08331942558288574,
-0.043656881898641586,
-0.020572366192936897,
-0.02544368989765644,
0.00016979705833364278,
-0.0508258193731308,
0.019850963726639748,
-0.004402406979352236,
0.03677721694111824,
-0.026117699220776558,
0.016953039914369583,
0.009894178248941898,
0.08544690907001495,
-0.01845918409526348,
0.0962640643119812,
-0.014865838922560215,
0.0023706809151917696,
-0.062166258692741394,
0.004676910117268562,
0.019909590482711792,
0.08343331515789032,
-0.11149904131889343,
-0.0345626026391983,
0.04376215487718582,
0.0027313593309372663,
-0.05834965407848358,
0.05466391146183014,
0.041293222457170486,
-0.07377231866121292,
-0.003281954675912857,
0.022589096799492836,
-0.053023066371679306,
-0.12035690993070602,
0.01624319888651371,
0.0487704798579216,
-0.0619586706161499,
-0.08470238745212555,
0.08935827761888504,
-0.07006154954433441,
-0.002867198782041669,
-0.100273996591568,
-0.004574308637529612,
-0.009669356979429722,
0.057277221232652664,
-0.00481322780251503,
0.0386824831366539,
-0.06414268165826797,
0.039030905812978745,
-0.040568120777606964,
0.04758090525865555,
-2.6186956014298505e-33,
0.0063130720518529415,
-0.06796087324619293,
0.10168645530939102,
0.005744490306824446,
-0.01942344382405281,
-0.049764953553676605,
-0.019598407670855522,
-0.07563764601945877,
-0.06847406923770905,
-0.012927732430398464,
0.14429450035095215,
0.037744440138339996,
-0.008946928195655346,
-0.09257221966981888,
0.027821803465485573,
0.05426289886236191,
0.012708594091236591,
-0.017117829993367195,
0.07539080083370209,
0.03319123387336731,
0.05723504349589348,
0.05318004637956619,
-0.01721544750034809,
0.00928307045251131,
0.008432742208242416,
-0.03628547117114067,
0.001731029711663723,
-0.056033603847026825,
0.00729595310986042,
-0.02955448254942894,
0.04529154300689697,
0.0037394994869828224,
-0.03534155711531639,
-0.05745267495512962,
-0.09842974692583084,
0.026268018409609795,
-0.04232983663678169,
-0.0789303183555603,
-0.016802053898572922,
0.04359780624508858,
-0.02050716057419777,
0.004371548071503639,
-0.020013293251395226,
0.04169687256217003,
0.09529055655002594,
0.04928695037961006,
-0.07976876944303513,
0.03112243115901947,
-0.046134863048791885,
-0.029118528589606285,
0.033984895795583725,
-0.016860248520970345,
0.06564486026763916,
-0.052834536880254745,
0.01572663150727749,
-0.012108149006962776,
-0.0511927455663681,
0.07235898077487946,
0.019801387563347816,
0.026281805709004402,
0.047103945165872574,
-0.08174841850996017,
-0.017869338393211365,
-0.02516833320260048,
-0.03411508724093437,
-0.09527729451656342,
-0.030788766220211983,
-0.0201277956366539,
-0.0162572730332613,
-0.04284292459487915,
0.03701198846101761,
0.019768938422203064,
0.0201470535248518,
0.011348450556397438,
0.013519072905182838,
0.0010509589919820428,
0.01373087614774704,
-0.0540115088224411,
-0.07124270498752594,
0.05983447656035423,
-0.09808791428804398,
0.10316808521747589,
-0.04119123890995979,
0.0328666977584362,
0.025186611339449883,
-0.0211880374699831,
0.004146995954215527,
0.04767101630568504,
0.038037024438381195,
0.05138399824500084,
-0.052588894963264465,
0.026844359934329987,
0.04335338994860649,
0.07805448025465012,
0.026891229674220085,
-3.939362969163085e-8,
-0.042660750448703766,
-0.010205427184700966,
-0.05535642430186272,
-0.11408770084381104,
0.014663749374449253,
0.029068194329738617,
0.05727078393101692,
0.11261505633592606,
-0.030812634155154228,
0.04285125806927681,
0.11031600832939148,
0.007535181008279324,
-0.12402033805847168,
0.07971028238534927,
0.05886441469192505,
-0.029329659417271614,
-0.015100301243364811,
-0.06136132776737213,
0.021552473306655884,
0.0391106903553009,
-0.037364933639764786,
0.02727658860385418,
-0.05772289261221886,
0.07062993943691254,
-0.005078812129795551,
-0.09763486683368683,
0.055797625333070755,
-0.013955177739262581,
-0.05083785951137543,
0.0516042485833168,
0.010400718078017235,
0.024790216237306595,
0.08502408862113953,
0.06764979660511017,
0.013128533959388733,
0.04311929643154144,
-0.007593953981995583,
0.024897269904613495,
-0.12739455699920654,
0.016845155507326126,
0.02903083711862564,
-0.06810980290174484,
-0.0802852064371109,
0.004296485334634781,
0.023769699037075043,
-0.02861289121210575,
0.0211911890655756,
0.13854221999645233,
0.01984991692006588,
-0.037391554564237595,
-0.02672833949327469,
-0.04442199692130089,
-0.11436790227890015,
-0.10297007113695145,
-0.04527723789215088,
0.0028011256363242865,
-0.028751712292432785,
0.0124412402510643,
0.059947021305561066,
-0.06684329360723495,
-0.0009068307117559016,
-0.0858258381485939,
0.0329144112765789,
-0.009873717091977596
] |
1401.0281 | Artem Badasyan | Artem Badasyan, Shushanik A. Tonoyan, Achille Giacometti, Rudolf
Podgornik, V. Adrian Parsegian, Yevgeni Sh. Mamasakhlisov and Vladimir F.
Morozov | A unified description of solvent effects in the helix-coil transition | 12 pages, 12 figures, to be submitted to PRE | null | 10.1103/PhysRevE.89.022723 | null | q-bio.BM cond-mat.soft physics.bio-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the problem of the helix-coil transition in explicit solvents
analytically by using spin-based models incorporating two different mechanisms
of solvent action: explicit solvent action through the formation of
solvent-polymer hydrogen bonds that can compete with the intrinsic
intra-polymer hydrogen bonded configurations (competing interactions) and
implicit solvent action, where the solvent-polymer interactions tune biopolymer
configurations by changing the activity of the solvent (non-competing
interactions). The overall spin Hamiltonian is comprised of three terms: the
background \emph{in vacuo} Hamiltonian of the "Generalized Model of Polypeptide
Chain" type and two additive terms that account for the two above mechanisms of
solvent action. We show that on this level the solvent degrees of freedom can
be {\sl explicitly} and {\sl exactly} traced over, the ensuing effective
partition function combining all the solvent effects in a unified framework. In
this way we are able to address helix-coil transitions for polypeptides,
proteins, and DNA, with different buffers and different external constraints.
Our spin-based effective Hamiltonian is applicable for treatment of such
diverse phenomena as cold denaturation, effects of osmotic pressure on the cold
and warm denaturation, complicated temperature dependence of the hydrophobic
effect as well as providing a conceptual base for understanding the behavior of
Intrinsically Disordered Proteins and their analogues.
| [
{
"created": "Wed, 1 Jan 2014 13:29:29 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Badasyan",
"Artem",
""
],
[
"Tonoyan",
"Shushanik A.",
""
],
[
"Giacometti",
"Achille",
""
],
[
"Podgornik",
"Rudolf",
""
],
[
"Parsegian",
"V. Adrian",
""
],
[
"Mamasakhlisov",
"Yevgeni Sh.",
""
],
[
"Morozov",
"Vladimir F.",
""
]
] | [
-0.06925001740455627,
-0.09089390933513641,
-0.016577405855059624,
-0.06419649720191956,
0.019522840157151222,
0.04144654422998428,
-0.02596050128340721,
0.04088689759373665,
0.026996251195669174,
-0.046473197638988495,
-0.013620978221297264,
0.10501065105199814,
-0.004855836275964975,
0.017753159627318382,
0.036249224096536636,
0.012973793782293797,
-0.03955414146184921,
0.07946978509426117,
-0.04185347259044647,
0.03490522503852844,
0.05723206326365471,
-0.08009415119886398,
0.00409994600340724,
-0.028666850179433823,
-0.029394695535302162,
0.0594308078289032,
0.07362724840641022,
-0.021289046853780746,
-0.020899157971143723,
-0.017818231135606766,
0.02229652740061283,
-0.0018536146963015199,
-0.1130746379494667,
-0.07929299026727676,
0.06666549295186996,
0.05881568044424057,
-0.018417026847600937,
-0.05475303903222084,
-0.09201186150312424,
-0.04832513630390167,
0.16749534010887146,
0.0815456211566925,
0.02034039981663227,
0.01805889792740345,
-0.026142405346035957,
-0.04821008816361427,
0.010235777124762535,
0.01682693138718605,
-0.04322844743728638,
-0.013920051045715809,
0.06301271915435791,
-0.014086592011153698,
0.0009428018820472062,
-0.11509495973587036,
-0.08390279114246368,
0.08188710361719131,
0.011603058315813541,
-0.03651867061853409,
-0.023443829268217087,
-0.061843499541282654,
0.019602099433541298,
-0.01637691631913185,
-0.01639293134212494,
-0.012852697633206844,
0.004347318317741156,
0.004942179191857576,
0.1306922435760498,
-0.013425085693597794,
0.020040113478899002,
0.04974237456917763,
-0.10552876442670822,
0.030462725088000298,
-0.04626987501978874,
-0.0028846771456301212,
0.08199485391378403,
-0.060917191207408905,
0.010143531486392021,
0.0022218653466552496,
0.009977543726563454,
-0.01737210899591446,
-0.014385723508894444,
-0.058914706110954285,
0.06043983995914459,
0.0011979176197201014,
0.007636357098817825,
0.0522378571331501,
0.02546415850520134,
0.010940446518361568,
0.055200088769197464,
0.00616227462887764,
-0.07523763179779053,
-0.03486359491944313,
-0.03856411576271057,
-0.04059666767716408,
-0.015109133906662464,
0.000506802462041378,
0.06403511017560959,
0.03408617153763771,
0.007127361372113228,
-0.03374600410461426,
0.0405290350317955,
-0.017850728705525398,
-0.024692097678780556,
-0.08870823681354523,
0.07144292443990707,
-0.058347564190626144,
0.004043311346322298,
-0.0052649700082838535,
-0.014499188400804996,
0.050526443868875504,
-0.06007838249206543,
0.04240518808364868,
0.05916095897555351,
0.006355517543852329,
-0.018767666071653366,
-0.007492753677070141,
-0.007577330339699984,
0.030090628191828728,
0.06349807977676392,
0.043934065848588943,
0.05542182922363281,
0.02545587718486786,
-0.011269739829003811,
-0.0018111473182216287,
-0.016633592545986176,
-0.07269970327615738,
-0.13742518424987793,
-1.2314629429427983e-33,
0.03656663000583649,
-0.04743167385458946,
0.1046295315027237,
0.06270132213830948,
-0.03050040639936924,
-0.04399561136960983,
-0.01064989808946848,
-0.03491279110312462,
-0.10001390427350998,
0.10037311911582947,
-0.034924037754535675,
-0.002500864677131176,
0.0226975679397583,
-0.013116364367306232,
-0.04214678704738617,
-0.0000821213616291061,
0.02830655500292778,
0.08162300288677216,
0.026469765231013298,
-0.024182522669434547,
0.02801474928855896,
0.05364372953772545,
0.00006429164204746485,
0.08510279655456543,
-0.047103818506002426,
-0.014020710252225399,
-0.010575748980045319,
-0.021415824070572853,
0.04345371946692467,
-0.002093781717121601,
-0.01792798936367035,
-0.050064537674188614,
-0.08662426471710205,
0.13600055873394012,
0.09563896805047989,
0.010625523515045643,
-0.019749047234654427,
-0.06994084268808365,
0.05211519077420235,
0.025183044373989105,
-0.016131233423948288,
-0.009048125706613064,
0.08606477081775665,
-0.07852424681186676,
-0.06791604310274124,
0.04281877353787422,
0.1189202144742012,
-0.024086477234959602,
-0.08869630843400955,
-0.024055706337094307,
0.00026667368365451694,
0.0076647792011499405,
0.04654214158654213,
0.049768347293138504,
-0.05035032331943512,
-0.05066561698913574,
-0.0105547234416008,
0.03490215912461281,
-0.08925028890371323,
0.004124076571315527,
-0.01756059192121029,
0.03664623945951462,
-0.029847709462046623,
-0.042998056858778,
0.06988967210054398,
0.034007806330919266,
-0.020890062674880028,
-0.024146871641278267,
0.04277022182941437,
0.050998784601688385,
-0.01363976951688528,
0.05908886715769768,
0.006470490712672472,
0.024139633402228355,
0.08821899443864822,
0.03766442462801933,
0.0037956207524985075,
-0.07220864295959473,
0.0006748019950464368,
0.0501440167427063,
-0.03260429948568344,
-0.0036774268373847008,
-0.059905167669057846,
-0.0521467849612236,
-0.0858508050441742,
-0.060461997985839844,
-0.009542002342641354,
-0.013903344981372356,
0.00787388812750578,
-0.005594316869974136,
-0.09379299730062485,
-0.0521843396127224,
0.06899438798427582,
-0.04401758685708046,
0.036551058292388916,
-3.325588496517441e-33,
0.021082233637571335,
-0.07467500120401382,
0.09224550426006317,
0.008496478199958801,
0.006565609946846962,
-0.01828508824110031,
0.07995288819074631,
-0.013508371077477932,
0.00106640940066427,
-0.1392846554517746,
0.06426713615655899,
-0.03256247565150261,
0.057998206466436386,
0.01663087122142315,
-0.06604772806167603,
0.051167815923690796,
-0.11283628642559052,
0.04300718382000923,
0.12733414769172668,
0.014762286096811295,
-0.07588772475719452,
0.023169443011283875,
-0.016205498948693275,
0.0896579921245575,
-0.017936119809746742,
-0.020721599459648132,
-0.009380078874528408,
0.012251011095941067,
0.024559153243899345,
0.04991926625370979,
-0.013457433320581913,
0.0046427296474576,
-0.038991961628198624,
0.0629212036728859,
-0.10553555935621262,
0.11328709870576859,
-0.062266260385513306,
-0.04230162128806114,
0.05037195235490799,
0.02137262187898159,
-0.015179303474724293,
-0.08041345328092575,
0.04016225412487984,
-0.024847153574228287,
0.07946377247571945,
0.004751578439027071,
-0.05225484445691109,
-0.00007240004924824461,
0.005302715115249157,
0.014620209112763405,
-0.015978390350937843,
0.019660482183098793,
0.032378505915403366,
0.03316216170787811,
-0.015102013014256954,
-0.011342646554112434,
-0.01245918683707714,
-0.077042356133461,
0.01896585337817669,
0.0012800677213817835,
-0.02522241324186325,
0.01343320682644844,
-0.05534706264734268,
0.034944940358400345,
-0.08483929932117462,
0.010032753460109234,
0.022654952481389046,
-0.07418057322502136,
0.06770172715187073,
-0.07664170116186142,
0.02504768967628479,
0.013818665407598019,
0.0957026407122612,
0.05966682359576225,
0.0837385281920433,
-0.06605441123247147,
-0.017028074711561203,
-0.12649162113666534,
-0.0016281192656606436,
-0.07561654597520828,
-0.03866142779588699,
0.07263296097517014,
-0.11528130620718002,
-0.07419023662805557,
0.030079878866672516,
-0.04910155013203621,
0.023440467193722725,
-0.0029952784534543753,
-0.009095629677176476,
-0.10032759606838226,
0.03143236041069031,
0.004018086940050125,
0.046046581119298935,
0.0660211518406868,
-0.012479123659431934,
-4.732659419914853e-8,
0.08461245894432068,
0.058949947357177734,
0.04041241854429245,
-0.018107745796442032,
0.023945068940520287,
0.09614593535661697,
-0.004562882706522942,
-0.06199469044804573,
0.004040322732180357,
0.05578303337097168,
0.03061189316213131,
0.04743778333067894,
0.013855920173227787,
-0.04919235408306122,
0.03519272059202194,
0.04899084195494652,
-0.02749844267964363,
-0.007141484413295984,
-0.02663726545870304,
-0.05639701709151268,
0.016753293573856354,
0.07279693335294724,
-0.10073411464691162,
-0.01835908740758896,
0.018630262464284897,
0.014198974706232548,
0.027323540300130844,
-0.038116808980703354,
0.056384824216365814,
0.0035962413530796766,
-0.0005109163466840982,
0.009501657448709011,
0.024910714477300644,
0.029476717114448547,
-0.05801267921924591,
0.04313775897026062,
-0.046092789620161057,
0.05354975536465645,
0.016187530010938644,
0.03442501649260521,
0.025719713419675827,
0.020352574065327644,
-0.12655487656593323,
-0.02371077798306942,
-0.030291955918073654,
0.00503162806853652,
-0.04570535197854042,
0.04130274057388306,
-0.05307156965136528,
0.0395713746547699,
0.00584308011457324,
0.019861813634634018,
-0.01457788422703743,
0.01392333023250103,
0.009802664630115032,
0.017439475283026695,
-0.04253128170967102,
-0.017332803457975388,
0.01272369921207428,
-0.0070226797834038734,
-0.03006616421043873,
-0.04871358722448349,
0.010428369976580143,
-0.0537707693874836
] | null | null | null | null | null | null | null | [
-0.06925001740455627,
-0.09089390933513641,
-0.016577405855059624,
-0.06419649720191956,
0.019522840157151222,
0.04144654422998428,
-0.02596050128340721,
0.04088689759373665,
0.026996251195669174,
-0.046473197638988495,
-0.013620978221297264,
0.10501065105199814,
-0.004855836275964975,
0.017753159627318382,
0.036249224096536636,
0.012973793782293797,
-0.03955414146184921,
0.07946978509426117,
-0.04185347259044647,
0.03490522503852844,
0.05723206326365471,
-0.08009415119886398,
0.00409994600340724,
-0.028666850179433823,
-0.029394695535302162,
0.0594308078289032,
0.07362724840641022,
-0.021289046853780746,
-0.020899157971143723,
-0.017818231135606766,
0.02229652740061283,
-0.0018536146963015199,
-0.1130746379494667,
-0.07929299026727676,
0.06666549295186996,
0.05881568044424057,
-0.018417026847600937,
-0.05475303903222084,
-0.09201186150312424,
-0.04832513630390167,
0.16749534010887146,
0.0815456211566925,
0.02034039981663227,
0.01805889792740345,
-0.026142405346035957,
-0.04821008816361427,
0.010235777124762535,
0.01682693138718605,
-0.04322844743728638,
-0.013920051045715809,
0.06301271915435791,
-0.014086592011153698,
0.0009428018820472062,
-0.11509495973587036,
-0.08390279114246368,
0.08188710361719131,
0.011603058315813541,
-0.03651867061853409,
-0.023443829268217087,
-0.061843499541282654,
0.019602099433541298,
-0.01637691631913185,
-0.01639293134212494,
-0.012852697633206844,
0.004347318317741156,
0.004942179191857576,
0.1306922435760498,
-0.013425085693597794,
0.020040113478899002,
0.04974237456917763,
-0.10552876442670822,
0.030462725088000298,
-0.04626987501978874,
-0.0028846771456301212,
0.08199485391378403,
-0.060917191207408905,
0.010143531486392021,
0.0022218653466552496,
0.009977543726563454,
-0.01737210899591446,
-0.014385723508894444,
-0.058914706110954285,
0.06043983995914459,
0.0011979176197201014,
0.007636357098817825,
0.0522378571331501,
0.02546415850520134,
0.010940446518361568,
0.055200088769197464,
0.00616227462887764,
-0.07523763179779053,
-0.03486359491944313,
-0.03856411576271057,
-0.04059666767716408,
-0.015109133906662464,
0.000506802462041378,
0.06403511017560959,
0.03408617153763771,
0.007127361372113228,
-0.03374600410461426,
0.0405290350317955,
-0.017850728705525398,
-0.024692097678780556,
-0.08870823681354523,
0.07144292443990707,
-0.058347564190626144,
0.004043311346322298,
-0.0052649700082838535,
-0.014499188400804996,
0.050526443868875504,
-0.06007838249206543,
0.04240518808364868,
0.05916095897555351,
0.006355517543852329,
-0.018767666071653366,
-0.007492753677070141,
-0.007577330339699984,
0.030090628191828728,
0.06349807977676392,
0.043934065848588943,
0.05542182922363281,
0.02545587718486786,
-0.011269739829003811,
-0.0018111473182216287,
-0.016633592545986176,
-0.07269970327615738,
-0.13742518424987793,
-1.2314629429427983e-33,
0.03656663000583649,
-0.04743167385458946,
0.1046295315027237,
0.06270132213830948,
-0.03050040639936924,
-0.04399561136960983,
-0.01064989808946848,
-0.03491279110312462,
-0.10001390427350998,
0.10037311911582947,
-0.034924037754535675,
-0.002500864677131176,
0.0226975679397583,
-0.013116364367306232,
-0.04214678704738617,
-0.0000821213616291061,
0.02830655500292778,
0.08162300288677216,
0.026469765231013298,
-0.024182522669434547,
0.02801474928855896,
0.05364372953772545,
0.00006429164204746485,
0.08510279655456543,
-0.047103818506002426,
-0.014020710252225399,
-0.010575748980045319,
-0.021415824070572853,
0.04345371946692467,
-0.002093781717121601,
-0.01792798936367035,
-0.050064537674188614,
-0.08662426471710205,
0.13600055873394012,
0.09563896805047989,
0.010625523515045643,
-0.019749047234654427,
-0.06994084268808365,
0.05211519077420235,
0.025183044373989105,
-0.016131233423948288,
-0.009048125706613064,
0.08606477081775665,
-0.07852424681186676,
-0.06791604310274124,
0.04281877353787422,
0.1189202144742012,
-0.024086477234959602,
-0.08869630843400955,
-0.024055706337094307,
0.00026667368365451694,
0.0076647792011499405,
0.04654214158654213,
0.049768347293138504,
-0.05035032331943512,
-0.05066561698913574,
-0.0105547234416008,
0.03490215912461281,
-0.08925028890371323,
0.004124076571315527,
-0.01756059192121029,
0.03664623945951462,
-0.029847709462046623,
-0.042998056858778,
0.06988967210054398,
0.034007806330919266,
-0.020890062674880028,
-0.024146871641278267,
0.04277022182941437,
0.050998784601688385,
-0.01363976951688528,
0.05908886715769768,
0.006470490712672472,
0.024139633402228355,
0.08821899443864822,
0.03766442462801933,
0.0037956207524985075,
-0.07220864295959473,
0.0006748019950464368,
0.0501440167427063,
-0.03260429948568344,
-0.0036774268373847008,
-0.059905167669057846,
-0.0521467849612236,
-0.0858508050441742,
-0.060461997985839844,
-0.009542002342641354,
-0.013903344981372356,
0.00787388812750578,
-0.005594316869974136,
-0.09379299730062485,
-0.0521843396127224,
0.06899438798427582,
-0.04401758685708046,
0.036551058292388916,
-3.325588496517441e-33,
0.021082233637571335,
-0.07467500120401382,
0.09224550426006317,
0.008496478199958801,
0.006565609946846962,
-0.01828508824110031,
0.07995288819074631,
-0.013508371077477932,
0.00106640940066427,
-0.1392846554517746,
0.06426713615655899,
-0.03256247565150261,
0.057998206466436386,
0.01663087122142315,
-0.06604772806167603,
0.051167815923690796,
-0.11283628642559052,
0.04300718382000923,
0.12733414769172668,
0.014762286096811295,
-0.07588772475719452,
0.023169443011283875,
-0.016205498948693275,
0.0896579921245575,
-0.017936119809746742,
-0.020721599459648132,
-0.009380078874528408,
0.012251011095941067,
0.024559153243899345,
0.04991926625370979,
-0.013457433320581913,
0.0046427296474576,
-0.038991961628198624,
0.0629212036728859,
-0.10553555935621262,
0.11328709870576859,
-0.062266260385513306,
-0.04230162128806114,
0.05037195235490799,
0.02137262187898159,
-0.015179303474724293,
-0.08041345328092575,
0.04016225412487984,
-0.024847153574228287,
0.07946377247571945,
0.004751578439027071,
-0.05225484445691109,
-0.00007240004924824461,
0.005302715115249157,
0.014620209112763405,
-0.015978390350937843,
0.019660482183098793,
0.032378505915403366,
0.03316216170787811,
-0.015102013014256954,
-0.011342646554112434,
-0.01245918683707714,
-0.077042356133461,
0.01896585337817669,
0.0012800677213817835,
-0.02522241324186325,
0.01343320682644844,
-0.05534706264734268,
0.034944940358400345,
-0.08483929932117462,
0.010032753460109234,
0.022654952481389046,
-0.07418057322502136,
0.06770172715187073,
-0.07664170116186142,
0.02504768967628479,
0.013818665407598019,
0.0957026407122612,
0.05966682359576225,
0.0837385281920433,
-0.06605441123247147,
-0.017028074711561203,
-0.12649162113666534,
-0.0016281192656606436,
-0.07561654597520828,
-0.03866142779588699,
0.07263296097517014,
-0.11528130620718002,
-0.07419023662805557,
0.030079878866672516,
-0.04910155013203621,
0.023440467193722725,
-0.0029952784534543753,
-0.009095629677176476,
-0.10032759606838226,
0.03143236041069031,
0.004018086940050125,
0.046046581119298935,
0.0660211518406868,
-0.012479123659431934,
-4.732659419914853e-8,
0.08461245894432068,
0.058949947357177734,
0.04041241854429245,
-0.018107745796442032,
0.023945068940520287,
0.09614593535661697,
-0.004562882706522942,
-0.06199469044804573,
0.004040322732180357,
0.05578303337097168,
0.03061189316213131,
0.04743778333067894,
0.013855920173227787,
-0.04919235408306122,
0.03519272059202194,
0.04899084195494652,
-0.02749844267964363,
-0.007141484413295984,
-0.02663726545870304,
-0.05639701709151268,
0.016753293573856354,
0.07279693335294724,
-0.10073411464691162,
-0.01835908740758896,
0.018630262464284897,
0.014198974706232548,
0.027323540300130844,
-0.038116808980703354,
0.056384824216365814,
0.0035962413530796766,
-0.0005109163466840982,
0.009501657448709011,
0.024910714477300644,
0.029476717114448547,
-0.05801267921924591,
0.04313775897026062,
-0.046092789620161057,
0.05354975536465645,
0.016187530010938644,
0.03442501649260521,
0.025719713419675827,
0.020352574065327644,
-0.12655487656593323,
-0.02371077798306942,
-0.030291955918073654,
0.00503162806853652,
-0.04570535197854042,
0.04130274057388306,
-0.05307156965136528,
0.0395713746547699,
0.00584308011457324,
0.019861813634634018,
-0.01457788422703743,
0.01392333023250103,
0.009802664630115032,
0.017439475283026695,
-0.04253128170967102,
-0.017332803457975388,
0.01272369921207428,
-0.0070226797834038734,
-0.03006616421043873,
-0.04871358722448349,
0.010428369976580143,
-0.0537707693874836
] |
1401.0282 | Reza Nourjou | Reza Nourjou, Michinori Hatayama, Stephen F. Smith, Atabak Sadeghi and
Pedro Szekely | Design of a GIS-based Assistant Software Agent for the Incident
Commander to Coordinate Emergency Response Operations | 3 pages, 1 figure, In Workshop on Robots and Sensors integration in
future rescue INformation system (ROSIN' 13). In Conjunction of the IEEE/RSJ
International Conference on Intelligent Robots and Systems (IROS' 13), 2013 | null | null | null | cs.MA cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Problem: This paper addresses the design of an intelligent software system
for the IC (incident commander) of a team in order to coordinate actions of
agents (field units or robots) in the domain of emergency/crisis response
operations. Objective: This paper proposes GICoordinator. It is a GIS-based
assistant software agent that assists and collaborates with the human planner
in strategic planning and macro tasks assignment for centralized multi-agent
coordination. Method: Our approach to design GICoordinator was to: analyze the
problem, design a complete data model, design an architecture of GICoordinator,
specify required capabilities of human and system in coordination problem
solving, specify development tools, and deploy. Result: The result was an
architecture/design of GICoordinator that contains system requirements.
Findings: GICoordinator efficiently integrates geoinformatics with artifice
intelligent techniques in order to provide a spatial intelligent coordinator
system for an IC to efficiently coordinate and control agents by making
macro/strategic decisions. Results define a framework for future works to
develop this system.
| [
{
"created": "Wed, 1 Jan 2014 13:35:06 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Nourjou",
"Reza",
""
],
[
"Hatayama",
"Michinori",
""
],
[
"Smith",
"Stephen F.",
""
],
[
"Sadeghi",
"Atabak",
""
],
[
"Szekely",
"Pedro",
""
]
] | [
-0.0476042814552784,
-0.05095984786748886,
-0.014366514049470425,
-0.04714398831129074,
-0.08165472000837326,
-0.06165529787540436,
0.034545328468084335,
0.06190421059727669,
0.007892868481576443,
0.11375465244054794,
-0.06397505849599838,
0.0020491969771683216,
0.08913020044565201,
0.062466010451316833,
0.007668639067560434,
-0.017386624589562416,
0.04794876277446747,
0.009372798725962639,
-0.037216916680336,
-0.02815566584467888,
-0.0051435139030218124,
0.016138609498739243,
-0.05999810993671417,
0.017078373581171036,
-0.09154604375362396,
-0.0031216128263622522,
0.058104708790779114,
-0.07778657227754593,
-0.09872512519359589,
0.026855289936065674,
0.05723908916115761,
-0.04968380182981491,
0.07851112633943558,
0.02296818606555462,
-0.007847091183066368,
0.10530395805835724,
-0.007956212386488914,
-0.006343737244606018,
0.010261192917823792,
-0.021157119423151016,
-0.10119840502738953,
0.0014024463016539812,
0.026864737272262573,
-0.007411487400531769,
0.0335615910589695,
0.04903360456228256,
-0.048402901738882065,
-0.005105519201606512,
0.016932174563407898,
-0.006306355353444815,
-0.09073895215988159,
-0.0967116430401802,
0.015616185963153839,
0.006089345086365938,
0.026883969083428383,
0.03227578476071358,
0.01441178098320961,
-0.06812462210655212,
0.0355149507522583,
-0.09165681898593903,
0.0030746401753276587,
-0.006721707992255688,
0.0029267570935189724,
-0.05935104936361313,
-0.04378929361701012,
-0.0025467269588261843,
0.004105969797819853,
-0.01184998918324709,
0.04230719059705734,
-0.08499675244092941,
0.03579910844564438,
0.016698922961950302,
-0.004220091737806797,
-0.012503396719694138,
-0.03021073527634144,
0.049228161573410034,
0.018417704850435257,
0.021917548030614853,
0.06099347397685051,
-0.03260979428887367,
0.041208416223526,
0.042991336435079575,
0.02844945713877678,
0.06688225269317627,
-0.02055167593061924,
0.0049448697827756405,
-0.003502823645249009,
0.11498114466667175,
0.07412221282720566,
0.05210167169570923,
0.046399395912885666,
-0.01035652682185173,
0.13898907601833344,
-0.0075007048435509205,
0.03998475521802902,
0.006828788202255964,
0.010176234878599644,
-0.05033097043633461,
-0.01727890782058239,
0.030350051820278168,
-0.02755381353199482,
-0.04151974245905876,
0.03367816284298897,
-0.07597305625677109,
0.0021897011902183294,
0.005637244321405888,
0.010013449937105179,
-0.030585575848817825,
0.02333715744316578,
-0.044174470007419586,
-0.07768738269805908,
-0.05578887090086937,
-0.052284494042396545,
-0.053365081548690796,
-0.03671703487634659,
0.0710354819893837,
-0.047712478786706924,
0.10426801443099976,
-0.02445926144719124,
0.012560427188873291,
0.0070910369977355,
-0.03653717786073685,
-0.021435923874378204,
0.05563051998615265,
0.1010420098900795,
0.058856263756752014,
0.018395651131868362,
-4.225293321866596e-34,
-0.021209346130490303,
0.007327195722609758,
0.009611845016479492,
0.06355435401201248,
0.016566310077905655,
-0.04277120903134346,
-0.044866472482681274,
-0.07122135162353516,
-0.013078265823423862,
-0.026436863467097282,
-0.04220391809940338,
0.0015708246501162648,
-0.019999124109745026,
0.058374013751745224,
0.028873633593320847,
-0.06461630016565323,
0.05862557142972946,
0.06915638595819473,
-0.04955051839351654,
-0.015784239396452904,
-0.054018232971429825,
0.0002974615490529686,
0.028137141838669777,
-0.020318124443292618,
0.09156307578086853,
0.07250356674194336,
-0.0011578267440199852,
-0.03362379968166351,
0.07055652886629105,
-0.006786297541111708,
-0.060141000896692276,
0.03400389105081558,
-0.01717468723654747,
0.047433458268642426,
-0.044188618659973145,
0.01940712332725525,
-0.12869974970817566,
-0.06594837456941605,
0.0032486668787896633,
0.08142279833555222,
-0.024863362312316895,
0.010490153916180134,
-0.03206932544708252,
-0.02590198814868927,
0.03772849962115288,
-0.05656927451491356,
0.05014443397521973,
0.022201480343937874,
0.07127489149570465,
-0.03477253392338753,
0.030666017904877663,
0.0381300114095211,
0.020266151055693626,
-0.00198562815785408,
-0.006766107864677906,
-0.01157260499894619,
0.012300495989620686,
0.00350807118229568,
0.06977849453687668,
0.044197797775268555,
0.022669274359941483,
-0.025797365233302116,
0.023078935220837593,
0.07661021500825882,
0.09642690420150757,
-0.12511339783668518,
0.022696752101182938,
0.08246506750583649,
0.11372383683919907,
0.033379342406988144,
-0.029702117666602135,
0.027027634903788567,
0.10038973391056061,
0.030751841142773628,
-0.08458378911018372,
-0.019297610968351364,
0.04338782653212547,
-0.07666681706905365,
-0.02632884494960308,
-0.031627021729946136,
-0.10434543341398239,
-0.0270990002900362,
0.0005435760249383748,
0.03418910875916481,
0.026311099529266357,
0.02252228744328022,
-0.005747316405177116,
0.11199951171875,
-0.08459866791963577,
0.060563378036022186,
-0.06054561585187912,
-0.010062155313789845,
-0.07996570318937302,
0.09194018691778183,
0.011175962164998055,
-1.7002254781377562e-33,
-0.012063243426382542,
-0.08605094999074936,
-0.08486802875995636,
-0.029045362025499344,
0.025721117854118347,
-0.03974414989352226,
-0.05253981426358223,
-0.1504756063222885,
-0.08034498989582062,
0.009465495124459267,
-0.07825421541929245,
-0.03301693871617317,
0.05350366234779358,
0.029449917376041412,
0.01301790401339531,
-0.017442401498556137,
0.013283769600093365,
-0.09554950892925262,
-0.040307436138391495,
0.026154112070798874,
0.010891661047935486,
0.003021671436727047,
-0.06689835339784622,
-0.04891657829284668,
-0.018329573795199394,
0.0101984404027462,
-0.0278383269906044,
-0.0368695892393589,
0.049556899815797806,
0.0856451764702797,
-0.008439096622169018,
-0.06650307029485703,
0.03791385516524315,
0.01720256730914116,
0.0340949222445488,
0.012720032595098019,
-0.009934780187904835,
-0.03661167621612549,
-0.048449356108903885,
0.08089665323495865,
0.01567256450653076,
-0.012613446451723576,
-0.0005110852071084082,
-0.01704195886850357,
-0.026821168139576912,
0.0437854640185833,
0.05070194974541664,
0.07335443794727325,
-0.06185970827937126,
-0.019610900431871414,
-0.048630230128765106,
0.01418334525078535,
-0.08644190430641174,
-0.09415103495121002,
0.005798074882477522,
0.03684420883655548,
0.024121344089508057,
-0.013216134160757065,
0.0273484755307436,
-0.05833817645907402,
-0.010042424313724041,
-0.013824188150465488,
0.07652011513710022,
0.05690422281622887,
-0.025786958634853363,
0.09729881584644318,
-0.027358872815966606,
-0.04533107578754425,
-0.019624123349785805,
-0.01520445104688406,
0.10540759563446045,
-0.000591431453358382,
-0.029567694291472435,
-0.010234016925096512,
0.040047772228717804,
-0.007389226462692022,
-0.07455543428659439,
0.028968561440706253,
0.012214910238981247,
-0.018576674163341522,
0.008335093967616558,
0.06974651664495468,
-0.0038443924859166145,
0.0768694132566452,
-0.05323173850774765,
0.06512823700904846,
0.0382019467651844,
0.07755600661039352,
0.01007500384002924,
-0.009388510137796402,
-0.08269020915031433,
-0.022393275052309036,
0.05714109167456627,
0.04667558893561363,
-0.09924013167619705,
-4.228555283702917e-8,
-0.04741407558321953,
0.03742961958050728,
-0.005387291777879,
-0.015013066120445728,
-0.004201461561024189,
-0.042316365987062454,
0.02106701210141182,
0.01566784828901291,
-0.00785828661173582,
0.03519284352660179,
0.02792118303477764,
-0.007196555845439434,
-0.017892392352223396,
0.020593810826539993,
0.06296592205762863,
-0.006841167341917753,
0.07869347929954529,
-0.03234514221549034,
-0.016039038076996803,
-0.027943255379796028,
0.01453412976115942,
-0.026872452348470688,
-0.02565932460129261,
0.006312537007033825,
-0.002959912410005927,
-0.00530672213062644,
-0.06815341114997864,
0.057710353285074234,
-0.024815592914819717,
0.08265052735805511,
0.05618952959775925,
-0.08030113577842712,
-0.03003871440887451,
0.033571090549230576,
0.07632891088724136,
0.019239099696278572,
0.0254707969725132,
-0.07094821333885193,
0.04359541833400726,
-0.09795143455266953,
0.015195065177977085,
0.06501882523298264,
0.011148299090564251,
0.03399262577295303,
0.03971187770366669,
-0.016000710427761078,
-0.019907400012016296,
-0.09997832775115967,
0.004820819012820721,
-0.06740167737007141,
-0.10201896727085114,
-0.01178819127380848,
-0.07214375585317612,
0.1355859786272049,
0.10287976264953613,
0.05839243531227112,
0.0552583709359169,
-0.08064140379428864,
0.08332417905330658,
0.03676243871450424,
-0.06821729987859726,
0.030865753069519997,
-0.08070918172597885,
-0.07026105374097824
] | null | null | null | null | null | null | null | [
-0.0476042814552784,
-0.05095984786748886,
-0.014366514049470425,
-0.04714398831129074,
-0.08165472000837326,
-0.06165529787540436,
0.034545328468084335,
0.06190421059727669,
0.007892868481576443,
0.11375465244054794,
-0.06397505849599838,
0.0020491969771683216,
0.08913020044565201,
0.062466010451316833,
0.007668639067560434,
-0.017386624589562416,
0.04794876277446747,
0.009372798725962639,
-0.037216916680336,
-0.02815566584467888,
-0.0051435139030218124,
0.016138609498739243,
-0.05999810993671417,
0.017078373581171036,
-0.09154604375362396,
-0.0031216128263622522,
0.058104708790779114,
-0.07778657227754593,
-0.09872512519359589,
0.026855289936065674,
0.05723908916115761,
-0.04968380182981491,
0.07851112633943558,
0.02296818606555462,
-0.007847091183066368,
0.10530395805835724,
-0.007956212386488914,
-0.006343737244606018,
0.010261192917823792,
-0.021157119423151016,
-0.10119840502738953,
0.0014024463016539812,
0.026864737272262573,
-0.007411487400531769,
0.0335615910589695,
0.04903360456228256,
-0.048402901738882065,
-0.005105519201606512,
0.016932174563407898,
-0.006306355353444815,
-0.09073895215988159,
-0.0967116430401802,
0.015616185963153839,
0.006089345086365938,
0.026883969083428383,
0.03227578476071358,
0.01441178098320961,
-0.06812462210655212,
0.0355149507522583,
-0.09165681898593903,
0.0030746401753276587,
-0.006721707992255688,
0.0029267570935189724,
-0.05935104936361313,
-0.04378929361701012,
-0.0025467269588261843,
0.004105969797819853,
-0.01184998918324709,
0.04230719059705734,
-0.08499675244092941,
0.03579910844564438,
0.016698922961950302,
-0.004220091737806797,
-0.012503396719694138,
-0.03021073527634144,
0.049228161573410034,
0.018417704850435257,
0.021917548030614853,
0.06099347397685051,
-0.03260979428887367,
0.041208416223526,
0.042991336435079575,
0.02844945713877678,
0.06688225269317627,
-0.02055167593061924,
0.0049448697827756405,
-0.003502823645249009,
0.11498114466667175,
0.07412221282720566,
0.05210167169570923,
0.046399395912885666,
-0.01035652682185173,
0.13898907601833344,
-0.0075007048435509205,
0.03998475521802902,
0.006828788202255964,
0.010176234878599644,
-0.05033097043633461,
-0.01727890782058239,
0.030350051820278168,
-0.02755381353199482,
-0.04151974245905876,
0.03367816284298897,
-0.07597305625677109,
0.0021897011902183294,
0.005637244321405888,
0.010013449937105179,
-0.030585575848817825,
0.02333715744316578,
-0.044174470007419586,
-0.07768738269805908,
-0.05578887090086937,
-0.052284494042396545,
-0.053365081548690796,
-0.03671703487634659,
0.0710354819893837,
-0.047712478786706924,
0.10426801443099976,
-0.02445926144719124,
0.012560427188873291,
0.0070910369977355,
-0.03653717786073685,
-0.021435923874378204,
0.05563051998615265,
0.1010420098900795,
0.058856263756752014,
0.018395651131868362,
-4.225293321866596e-34,
-0.021209346130490303,
0.007327195722609758,
0.009611845016479492,
0.06355435401201248,
0.016566310077905655,
-0.04277120903134346,
-0.044866472482681274,
-0.07122135162353516,
-0.013078265823423862,
-0.026436863467097282,
-0.04220391809940338,
0.0015708246501162648,
-0.019999124109745026,
0.058374013751745224,
0.028873633593320847,
-0.06461630016565323,
0.05862557142972946,
0.06915638595819473,
-0.04955051839351654,
-0.015784239396452904,
-0.054018232971429825,
0.0002974615490529686,
0.028137141838669777,
-0.020318124443292618,
0.09156307578086853,
0.07250356674194336,
-0.0011578267440199852,
-0.03362379968166351,
0.07055652886629105,
-0.006786297541111708,
-0.060141000896692276,
0.03400389105081558,
-0.01717468723654747,
0.047433458268642426,
-0.044188618659973145,
0.01940712332725525,
-0.12869974970817566,
-0.06594837456941605,
0.0032486668787896633,
0.08142279833555222,
-0.024863362312316895,
0.010490153916180134,
-0.03206932544708252,
-0.02590198814868927,
0.03772849962115288,
-0.05656927451491356,
0.05014443397521973,
0.022201480343937874,
0.07127489149570465,
-0.03477253392338753,
0.030666017904877663,
0.0381300114095211,
0.020266151055693626,
-0.00198562815785408,
-0.006766107864677906,
-0.01157260499894619,
0.012300495989620686,
0.00350807118229568,
0.06977849453687668,
0.044197797775268555,
0.022669274359941483,
-0.025797365233302116,
0.023078935220837593,
0.07661021500825882,
0.09642690420150757,
-0.12511339783668518,
0.022696752101182938,
0.08246506750583649,
0.11372383683919907,
0.033379342406988144,
-0.029702117666602135,
0.027027634903788567,
0.10038973391056061,
0.030751841142773628,
-0.08458378911018372,
-0.019297610968351364,
0.04338782653212547,
-0.07666681706905365,
-0.02632884494960308,
-0.031627021729946136,
-0.10434543341398239,
-0.0270990002900362,
0.0005435760249383748,
0.03418910875916481,
0.026311099529266357,
0.02252228744328022,
-0.005747316405177116,
0.11199951171875,
-0.08459866791963577,
0.060563378036022186,
-0.06054561585187912,
-0.010062155313789845,
-0.07996570318937302,
0.09194018691778183,
0.011175962164998055,
-1.7002254781377562e-33,
-0.012063243426382542,
-0.08605094999074936,
-0.08486802875995636,
-0.029045362025499344,
0.025721117854118347,
-0.03974414989352226,
-0.05253981426358223,
-0.1504756063222885,
-0.08034498989582062,
0.009465495124459267,
-0.07825421541929245,
-0.03301693871617317,
0.05350366234779358,
0.029449917376041412,
0.01301790401339531,
-0.017442401498556137,
0.013283769600093365,
-0.09554950892925262,
-0.040307436138391495,
0.026154112070798874,
0.010891661047935486,
0.003021671436727047,
-0.06689835339784622,
-0.04891657829284668,
-0.018329573795199394,
0.0101984404027462,
-0.0278383269906044,
-0.0368695892393589,
0.049556899815797806,
0.0856451764702797,
-0.008439096622169018,
-0.06650307029485703,
0.03791385516524315,
0.01720256730914116,
0.0340949222445488,
0.012720032595098019,
-0.009934780187904835,
-0.03661167621612549,
-0.048449356108903885,
0.08089665323495865,
0.01567256450653076,
-0.012613446451723576,
-0.0005110852071084082,
-0.01704195886850357,
-0.026821168139576912,
0.0437854640185833,
0.05070194974541664,
0.07335443794727325,
-0.06185970827937126,
-0.019610900431871414,
-0.048630230128765106,
0.01418334525078535,
-0.08644190430641174,
-0.09415103495121002,
0.005798074882477522,
0.03684420883655548,
0.024121344089508057,
-0.013216134160757065,
0.0273484755307436,
-0.05833817645907402,
-0.010042424313724041,
-0.013824188150465488,
0.07652011513710022,
0.05690422281622887,
-0.025786958634853363,
0.09729881584644318,
-0.027358872815966606,
-0.04533107578754425,
-0.019624123349785805,
-0.01520445104688406,
0.10540759563446045,
-0.000591431453358382,
-0.029567694291472435,
-0.010234016925096512,
0.040047772228717804,
-0.007389226462692022,
-0.07455543428659439,
0.028968561440706253,
0.012214910238981247,
-0.018576674163341522,
0.008335093967616558,
0.06974651664495468,
-0.0038443924859166145,
0.0768694132566452,
-0.05323173850774765,
0.06512823700904846,
0.0382019467651844,
0.07755600661039352,
0.01007500384002924,
-0.009388510137796402,
-0.08269020915031433,
-0.022393275052309036,
0.05714109167456627,
0.04667558893561363,
-0.09924013167619705,
-4.228555283702917e-8,
-0.04741407558321953,
0.03742961958050728,
-0.005387291777879,
-0.015013066120445728,
-0.004201461561024189,
-0.042316365987062454,
0.02106701210141182,
0.01566784828901291,
-0.00785828661173582,
0.03519284352660179,
0.02792118303477764,
-0.007196555845439434,
-0.017892392352223396,
0.020593810826539993,
0.06296592205762863,
-0.006841167341917753,
0.07869347929954529,
-0.03234514221549034,
-0.016039038076996803,
-0.027943255379796028,
0.01453412976115942,
-0.026872452348470688,
-0.02565932460129261,
0.006312537007033825,
-0.002959912410005927,
-0.00530672213062644,
-0.06815341114997864,
0.057710353285074234,
-0.024815592914819717,
0.08265052735805511,
0.05618952959775925,
-0.08030113577842712,
-0.03003871440887451,
0.033571090549230576,
0.07632891088724136,
0.019239099696278572,
0.0254707969725132,
-0.07094821333885193,
0.04359541833400726,
-0.09795143455266953,
0.015195065177977085,
0.06501882523298264,
0.011148299090564251,
0.03399262577295303,
0.03971187770366669,
-0.016000710427761078,
-0.019907400012016296,
-0.09997832775115967,
0.004820819012820721,
-0.06740167737007141,
-0.10201896727085114,
-0.01178819127380848,
-0.07214375585317612,
0.1355859786272049,
0.10287976264953613,
0.05839243531227112,
0.0552583709359169,
-0.08064140379428864,
0.08332417905330658,
0.03676243871450424,
-0.06821729987859726,
0.030865753069519997,
-0.08070918172597885,
-0.07026105374097824
] |
1401.0293 | Helge Kragh | Helge Kragh | Photon: New light on an old name | 16 pages; 4 figures | null | null | null | physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After G. N. Lewis (1875-1946) proposed the term "photon" in 1926, many
physicists adopted it as a more apt name for Einstein's light quantum. However,
Lewis' photon was a concept of a very different kind, something few physicists
knew or cared about. It turns out that Lewis' name was not quite the neologism
that it has usually been assumed to be. The same name was proposed or used
earlier, apparently independently, by at least four scientists. Three of the
four early proposals were related to physiology or visual perception, and only
one to quantum physics. Priority belongs to the American physicist and
psychologist L. T. Troland (1889-1932), who coined the word in 1916, and five
years later it was independently introduced by the Irish physicist J. Joly
(1857-1933). Then in 1925 a French physiologist, Rene Wurmser (1890-1993),
wrote about the photon, and in July 1926 his compatriot, the physicist F.
Wolfers (ca. 1890-1971), did the same in the context of optical physics. None
of the four pre-Lewis versions of "photon" was well known and they were soon
forgotten.
| [
{
"created": "Wed, 1 Jan 2014 15:19:18 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 08:21:54 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Feb 2014 07:39:43 GMT",
"version": "v3"
}
] | 2014-03-03 | [
[
"Kragh",
"Helge",
""
]
] | [
-0.04979116842150688,
-0.06703688204288483,
-0.10456114262342453,
0.07836902141571045,
-0.06630556285381317,
-0.08681055903434753,
0.05025871470570564,
0.01411250326782465,
0.028141381219029427,
0.033992666751146317,
0.08685582876205444,
0.009652980603277683,
-0.04620945081114769,
0.0833572968840599,
-0.021166246384382248,
0.05907560884952545,
-0.008626888506114483,
-0.05201830342411995,
-0.055195484310388565,
-0.011598016135394573,
-0.03653481975197792,
-0.0017518511740490794,
0.006831008475273848,
-0.0513162799179554,
0.06518904119729996,
-0.08782414346933365,
-0.03973430395126343,
-0.05889066681265831,
0.010683112777769566,
0.10873305052518845,
0.024166325107216835,
0.04484967514872551,
0.02394755929708481,
0.03042304702103138,
-0.030016174539923668,
-0.01597798615694046,
-0.05165375396609306,
-0.013242267072200775,
-0.02041018381714821,
0.023071400821208954,
-0.09086389094591141,
-0.056860435754060745,
-0.02850108966231346,
0.032003678381443024,
-0.048789121210575104,
0.04844276234507561,
0.06433633714914322,
0.021025359630584717,
-0.08473231643438339,
-0.018277490511536598,
-0.03287798911333084,
-0.051041148602962494,
-0.011808142066001892,
0.014060577377676964,
0.011560395359992981,
-0.005715338978916407,
0.026895888149738312,
0.020967768505215645,
-0.055653177201747894,
-0.02059006690979004,
-0.0445653535425663,
0.0013856749283149838,
-0.01585911586880684,
0.01155103649944067,
0.0046371715143322945,
0.07673831284046173,
-0.019464366137981415,
-0.05218123272061348,
0.01617414504289627,
0.05166711285710335,
0.02491910755634308,
-0.014565124176442623,
0.04567074403166771,
0.015256899408996105,
0.04793974384665489,
0.018582602962851524,
0.05899961665272713,
0.12480141222476959,
-0.008476690389215946,
0.0021368656307458878,
0.03816758468747139,
0.055724721401929855,
-0.042047105729579926,
0.028217021375894547,
0.02487192116677761,
0.07394903898239136,
-0.04724332317709923,
0.02228868007659912,
-0.09991455078125,
-0.1356402337551117,
-0.06705044955015182,
-0.09829963743686676,
0.009710620157420635,
0.02119167149066925,
0.03900497034192085,
-0.016804704442620277,
0.011685817502439022,
0.01229808758944273,
-0.022860759869217873,
-0.06890357285737991,
-0.017063725739717484,
0.016173293814063072,
-0.06325418502092361,
0.13519200682640076,
-0.0422649160027504,
-0.041152793914079666,
0.04881717264652252,
0.03468868136405945,
-0.018046028912067413,
0.0009356540394946933,
0.05873649939894676,
0.08435032516717911,
-0.007325099315494299,
0.013305777683854103,
0.0076560163870453835,
-0.022701995447278023,
-0.06412295997142792,
0.06476825475692749,
0.1416718065738678,
-0.01797419600188732,
0.0000037571417124127038,
0.07752180099487305,
-0.05306728184223175,
-0.045507241040468216,
0.04894815757870674,
0.1072501540184021,
0.01989150233566761,
-2.9052071047504208e-33,
0.02797222137451172,
0.13169999420642853,
-0.0014655643608421087,
-0.012752896174788475,
0.004953343421220779,
-0.017378177493810654,
0.08318186551332474,
-0.022802092134952545,
0.017250509932637215,
-0.055365484207868576,
0.0640738308429718,
0.020768191665410995,
0.02678511291742325,
-0.002813612576574087,
-0.008768409490585327,
-0.01188379805535078,
-0.0539843775331974,
0.008930101059377193,
0.05648767575621605,
-0.022824034094810486,
0.013563117943704128,
0.08595894277095795,
-0.0008549788617528975,
0.017026953399181366,
-0.056156888604164124,
0.007632720284163952,
-0.06490713357925415,
-0.015207227319478989,
0.02740645967423916,
0.01568795181810856,
-0.011048415675759315,
0.0946279764175415,
0.021541982889175415,
0.0016934301238507032,
-0.014040225185453892,
-0.0769159272313118,
-0.004249448422342539,
-0.026075785979628563,
-0.013512886129319668,
-0.029084278270602226,
0.05211399495601654,
0.13032826781272888,
0.00778602622449398,
-0.06991297751665115,
0.008136870339512825,
0.0017763021169230342,
-0.018959278240799904,
-0.00742480019107461,
-0.031083479523658752,
-0.01276145875453949,
-0.09447482228279114,
-0.06893065571784973,
0.05343906581401825,
-0.04783627390861511,
-0.006713767535984516,
-0.027855848893523216,
-0.007050482556223869,
0.018461182713508606,
-0.0428788959980011,
-0.055931247770786285,
-0.04077449068427086,
0.04168286174535751,
0.11797524988651276,
0.027356920763850212,
-0.0026965253055095673,
-0.0734279602766037,
-0.03139549866318703,
0.010126537643373013,
-0.1067902147769928,
0.0529189370572567,
-0.03553156554698944,
0.05517474561929703,
-0.07715577632188797,
-0.12265989184379578,
0.12529581785202026,
-0.051820166409015656,
0.035216692835092545,
0.0028054662980139256,
-0.060801103711128235,
-0.038431596010923386,
-0.032651953399181366,
-0.01766495779156685,
-0.016580907627940178,
-0.030184397473931313,
-0.08841826021671295,
0.07211906462907791,
-0.053692109882831573,
0.013089854270219803,
-0.04354221001267433,
-0.05813273787498474,
-0.05037475377321243,
0.016440952196717262,
0.02291792444884777,
-0.04440203681588173,
-0.12085582315921783,
-5.4385910659161e-35,
-0.04475875571370125,
0.0015619357582181692,
0.02734021283686161,
0.055830683559179306,
0.06164669990539551,
-0.023311730474233627,
-0.0029247484635561705,
-0.1086769551038742,
0.03647278994321823,
-0.04005563259124756,
0.11495905369520187,
0.039073627442121506,
-0.061874426901340485,
-0.009972160682082176,
-0.0246114619076252,
0.05901587754487991,
-0.0974828228354454,
-0.03492221608757973,
-0.0038745261263102293,
0.02955656871199608,
0.0020562042482197285,
-0.06328777968883514,
-0.11420392990112305,
-0.09685800224542618,
0.07840367406606674,
0.009855601005256176,
0.12544044852256775,
-0.035602688789367676,
0.00022559102217201144,
-0.03768887743353844,
-0.08534345775842667,
0.016232425346970558,
-0.010879332199692726,
0.006552200298756361,
0.05843832343816757,
0.05777460336685181,
0.06290904432535172,
0.03606142848730087,
-0.0073026386089622974,
-0.01992732286453247,
-0.03772633522748947,
0.04820894077420235,
0.06435661762952805,
0.001517146360129118,
-0.009037617594003677,
0.04233342409133911,
-0.08492124825716019,
-0.03369784355163574,
-0.10678505152463913,
0.015101121738553047,
-0.06979502737522125,
0.0488334484398365,
-0.014092374593019485,
0.025584997609257698,
0.011505377478897572,
0.048546142876148224,
0.03717074543237686,
0.04311595857143402,
-0.054366324096918106,
0.05871474742889404,
0.021704021841287613,
0.017926933243870735,
0.05362948402762413,
0.03168511018157005,
-0.030416827648878098,
0.05883675813674927,
-0.1098608449101448,
0.04518123343586922,
0.010718099772930145,
-0.06591692566871643,
0.012648461386561394,
-0.01834222674369812,
-0.07091347873210907,
0.012302529066801071,
-0.02930496074259281,
0.004177077207714319,
0.0044578080996870995,
-0.03420479968190193,
-0.08854930102825165,
0.09907003492116928,
-0.027200918644666672,
0.0071155112236738205,
0.011457601562142372,
0.03060227446258068,
0.017769070342183113,
-0.06642469018697739,
0.0039070057682693005,
0.05332086980342865,
-0.034395020455121994,
-0.046884093433618546,
0.009237440302968025,
-0.023106006905436516,
0.024132288992404938,
-0.033487726002931595,
0.028186500072479248,
-4.672893183510496e-8,
-0.006908835377544165,
-0.01020039338618517,
0.0065833404660224915,
-0.028419001027941704,
0.059736065566539764,
-0.023759454488754272,
0.021212762221693993,
0.05977841094136238,
-0.047827161848545074,
0.03131132200360298,
-0.07905649393796921,
0.003526129527017474,
-0.007432340178638697,
0.03621475398540497,
0.014140898361802101,
-0.04781382158398628,
-0.0073876879177987576,
-0.05006450414657593,
0.016931133344769478,
0.08797607570886612,
0.00730406679213047,
-0.013518406078219414,
-0.0008483438286930323,
-0.0872095450758934,
0.026185540482401848,
0.04305321350693703,
0.0016961266519501805,
-0.02895471081137657,
-0.020801877602934837,
-0.07130216807126999,
0.03145855292677879,
0.06170200556516647,
0.06580508500337601,
-0.0001800792379071936,
-0.041135624051094055,
-0.04077092558145523,
-0.031306952238082886,
-0.021863317117094994,
0.01311351079493761,
-0.00034950426197610795,
-0.03112606517970562,
0.05463549122214317,
-0.016107209026813507,
0.06940922886133194,
0.09467878937721252,
0.05772710591554642,
-0.013658459298312664,
-0.028583260253071785,
0.032027702778577805,
0.12341226637363434,
-0.02589644305408001,
0.10217387974262238,
0.052947599440813065,
0.0010265149176120758,
-0.024543417617678642,
0.06717762351036072,
0.025162383913993835,
-0.04589332267642021,
-0.06870207190513611,
-0.04192546382546425,
0.08536461740732193,
0.03830370306968689,
0.010865544900298119,
0.04319565370678902
] | null | null | null | null | null | null | null | [
-0.04979116842150688,
-0.06703688204288483,
-0.10456114262342453,
0.07836902141571045,
-0.06630556285381317,
-0.08681055903434753,
0.05025871470570564,
0.01411250326782465,
0.028141381219029427,
0.033992666751146317,
0.08685582876205444,
0.009652980603277683,
-0.04620945081114769,
0.0833572968840599,
-0.021166246384382248,
0.05907560884952545,
-0.008626888506114483,
-0.05201830342411995,
-0.055195484310388565,
-0.011598016135394573,
-0.03653481975197792,
-0.0017518511740490794,
0.006831008475273848,
-0.0513162799179554,
0.06518904119729996,
-0.08782414346933365,
-0.03973430395126343,
-0.05889066681265831,
0.010683112777769566,
0.10873305052518845,
0.024166325107216835,
0.04484967514872551,
0.02394755929708481,
0.03042304702103138,
-0.030016174539923668,
-0.01597798615694046,
-0.05165375396609306,
-0.013242267072200775,
-0.02041018381714821,
0.023071400821208954,
-0.09086389094591141,
-0.056860435754060745,
-0.02850108966231346,
0.032003678381443024,
-0.048789121210575104,
0.04844276234507561,
0.06433633714914322,
0.021025359630584717,
-0.08473231643438339,
-0.018277490511536598,
-0.03287798911333084,
-0.051041148602962494,
-0.011808142066001892,
0.014060577377676964,
0.011560395359992981,
-0.005715338978916407,
0.026895888149738312,
0.020967768505215645,
-0.055653177201747894,
-0.02059006690979004,
-0.0445653535425663,
0.0013856749283149838,
-0.01585911586880684,
0.01155103649944067,
0.0046371715143322945,
0.07673831284046173,
-0.019464366137981415,
-0.05218123272061348,
0.01617414504289627,
0.05166711285710335,
0.02491910755634308,
-0.014565124176442623,
0.04567074403166771,
0.015256899408996105,
0.04793974384665489,
0.018582602962851524,
0.05899961665272713,
0.12480141222476959,
-0.008476690389215946,
0.0021368656307458878,
0.03816758468747139,
0.055724721401929855,
-0.042047105729579926,
0.028217021375894547,
0.02487192116677761,
0.07394903898239136,
-0.04724332317709923,
0.02228868007659912,
-0.09991455078125,
-0.1356402337551117,
-0.06705044955015182,
-0.09829963743686676,
0.009710620157420635,
0.02119167149066925,
0.03900497034192085,
-0.016804704442620277,
0.011685817502439022,
0.01229808758944273,
-0.022860759869217873,
-0.06890357285737991,
-0.017063725739717484,
0.016173293814063072,
-0.06325418502092361,
0.13519200682640076,
-0.0422649160027504,
-0.041152793914079666,
0.04881717264652252,
0.03468868136405945,
-0.018046028912067413,
0.0009356540394946933,
0.05873649939894676,
0.08435032516717911,
-0.007325099315494299,
0.013305777683854103,
0.0076560163870453835,
-0.022701995447278023,
-0.06412295997142792,
0.06476825475692749,
0.1416718065738678,
-0.01797419600188732,
0.0000037571417124127038,
0.07752180099487305,
-0.05306728184223175,
-0.045507241040468216,
0.04894815757870674,
0.1072501540184021,
0.01989150233566761,
-2.9052071047504208e-33,
0.02797222137451172,
0.13169999420642853,
-0.0014655643608421087,
-0.012752896174788475,
0.004953343421220779,
-0.017378177493810654,
0.08318186551332474,
-0.022802092134952545,
0.017250509932637215,
-0.055365484207868576,
0.0640738308429718,
0.020768191665410995,
0.02678511291742325,
-0.002813612576574087,
-0.008768409490585327,
-0.01188379805535078,
-0.0539843775331974,
0.008930101059377193,
0.05648767575621605,
-0.022824034094810486,
0.013563117943704128,
0.08595894277095795,
-0.0008549788617528975,
0.017026953399181366,
-0.056156888604164124,
0.007632720284163952,
-0.06490713357925415,
-0.015207227319478989,
0.02740645967423916,
0.01568795181810856,
-0.011048415675759315,
0.0946279764175415,
0.021541982889175415,
0.0016934301238507032,
-0.014040225185453892,
-0.0769159272313118,
-0.004249448422342539,
-0.026075785979628563,
-0.013512886129319668,
-0.029084278270602226,
0.05211399495601654,
0.13032826781272888,
0.00778602622449398,
-0.06991297751665115,
0.008136870339512825,
0.0017763021169230342,
-0.018959278240799904,
-0.00742480019107461,
-0.031083479523658752,
-0.01276145875453949,
-0.09447482228279114,
-0.06893065571784973,
0.05343906581401825,
-0.04783627390861511,
-0.006713767535984516,
-0.027855848893523216,
-0.007050482556223869,
0.018461182713508606,
-0.0428788959980011,
-0.055931247770786285,
-0.04077449068427086,
0.04168286174535751,
0.11797524988651276,
0.027356920763850212,
-0.0026965253055095673,
-0.0734279602766037,
-0.03139549866318703,
0.010126537643373013,
-0.1067902147769928,
0.0529189370572567,
-0.03553156554698944,
0.05517474561929703,
-0.07715577632188797,
-0.12265989184379578,
0.12529581785202026,
-0.051820166409015656,
0.035216692835092545,
0.0028054662980139256,
-0.060801103711128235,
-0.038431596010923386,
-0.032651953399181366,
-0.01766495779156685,
-0.016580907627940178,
-0.030184397473931313,
-0.08841826021671295,
0.07211906462907791,
-0.053692109882831573,
0.013089854270219803,
-0.04354221001267433,
-0.05813273787498474,
-0.05037475377321243,
0.016440952196717262,
0.02291792444884777,
-0.04440203681588173,
-0.12085582315921783,
-5.4385910659161e-35,
-0.04475875571370125,
0.0015619357582181692,
0.02734021283686161,
0.055830683559179306,
0.06164669990539551,
-0.023311730474233627,
-0.0029247484635561705,
-0.1086769551038742,
0.03647278994321823,
-0.04005563259124756,
0.11495905369520187,
0.039073627442121506,
-0.061874426901340485,
-0.009972160682082176,
-0.0246114619076252,
0.05901587754487991,
-0.0974828228354454,
-0.03492221608757973,
-0.0038745261263102293,
0.02955656871199608,
0.0020562042482197285,
-0.06328777968883514,
-0.11420392990112305,
-0.09685800224542618,
0.07840367406606674,
0.009855601005256176,
0.12544044852256775,
-0.035602688789367676,
0.00022559102217201144,
-0.03768887743353844,
-0.08534345775842667,
0.016232425346970558,
-0.010879332199692726,
0.006552200298756361,
0.05843832343816757,
0.05777460336685181,
0.06290904432535172,
0.03606142848730087,
-0.0073026386089622974,
-0.01992732286453247,
-0.03772633522748947,
0.04820894077420235,
0.06435661762952805,
0.001517146360129118,
-0.009037617594003677,
0.04233342409133911,
-0.08492124825716019,
-0.03369784355163574,
-0.10678505152463913,
0.015101121738553047,
-0.06979502737522125,
0.0488334484398365,
-0.014092374593019485,
0.025584997609257698,
0.011505377478897572,
0.048546142876148224,
0.03717074543237686,
0.04311595857143402,
-0.054366324096918106,
0.05871474742889404,
0.021704021841287613,
0.017926933243870735,
0.05362948402762413,
0.03168511018157005,
-0.030416827648878098,
0.05883675813674927,
-0.1098608449101448,
0.04518123343586922,
0.010718099772930145,
-0.06591692566871643,
0.012648461386561394,
-0.01834222674369812,
-0.07091347873210907,
0.012302529066801071,
-0.02930496074259281,
0.004177077207714319,
0.0044578080996870995,
-0.03420479968190193,
-0.08854930102825165,
0.09907003492116928,
-0.027200918644666672,
0.0071155112236738205,
0.011457601562142372,
0.03060227446258068,
0.017769070342183113,
-0.06642469018697739,
0.0039070057682693005,
0.05332086980342865,
-0.034395020455121994,
-0.046884093433618546,
0.009237440302968025,
-0.023106006905436516,
0.024132288992404938,
-0.033487726002931595,
0.028186500072479248,
-4.672893183510496e-8,
-0.006908835377544165,
-0.01020039338618517,
0.0065833404660224915,
-0.028419001027941704,
0.059736065566539764,
-0.023759454488754272,
0.021212762221693993,
0.05977841094136238,
-0.047827161848545074,
0.03131132200360298,
-0.07905649393796921,
0.003526129527017474,
-0.007432340178638697,
0.03621475398540497,
0.014140898361802101,
-0.04781382158398628,
-0.0073876879177987576,
-0.05006450414657593,
0.016931133344769478,
0.08797607570886612,
0.00730406679213047,
-0.013518406078219414,
-0.0008483438286930323,
-0.0872095450758934,
0.026185540482401848,
0.04305321350693703,
0.0016961266519501805,
-0.02895471081137657,
-0.020801877602934837,
-0.07130216807126999,
0.03145855292677879,
0.06170200556516647,
0.06580508500337601,
-0.0001800792379071936,
-0.041135624051094055,
-0.04077092558145523,
-0.031306952238082886,
-0.021863317117094994,
0.01311351079493761,
-0.00034950426197610795,
-0.03112606517970562,
0.05463549122214317,
-0.016107209026813507,
0.06940922886133194,
0.09467878937721252,
0.05772710591554642,
-0.013658459298312664,
-0.028583260253071785,
0.032027702778577805,
0.12341226637363434,
-0.02589644305408001,
0.10217387974262238,
0.052947599440813065,
0.0010265149176120758,
-0.024543417617678642,
0.06717762351036072,
0.025162383913993835,
-0.04589332267642021,
-0.06870207190513611,
-0.04192546382546425,
0.08536461740732193,
0.03830370306968689,
0.010865544900298119,
0.04319565370678902
] |
1401.0294 | Vadim E. Levit | Vadim E. Levit and David Tankus | Complexity results for generating subgraphs | 18 pages, 3 figures, 1 table. arXiv admin note: text overlap with
arXiv:1312.7563 | null | null | null | cs.DM math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A graph G is well-covered if all its maximal independent sets are of the same
cardinality. Assume that a weight function w is defined on its vertices. Then G
is w-well-covered if all maximal independent sets are of the same weight.
For every graph G, the set of weight functions w such that G is
w-well-covered is a vector space, denoted WCW(G). Let B be a complete bipartite
induced subgraph of G on vertex sets of bipartition B_X and B_Y. Then B is
generating if there exists an independent set S such that S \cup B_X and S \cup
B_Y are both maximal independent sets of G. A relating edge is a generating
subgraph in the restricted case that B = K_{1,1}.
Deciding whether an input graph G is well-covered is co-NP-complete.
Therefore finding WCW(G) is co-NP-hard. Deciding whether an edge is relating is
co-NP-complete. Therefore, deciding whether a subgraph is generating is
co-NP-complete as well.
In this article we discuss the connections among these problems, provide
proofs for NP-completeness for several restricted cases, and present polynomial
characterizations for some other cases.
| [
{
"created": "Wed, 1 Jan 2014 15:20:17 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Nov 2016 12:56:29 GMT",
"version": "v2"
}
] | 2016-11-22 | [
[
"Levit",
"Vadim E.",
""
],
[
"Tankus",
"David",
""
]
] | [
-0.0391409657895565,
0.03917583078145981,
0.04932703822851181,
-0.005178680177778006,
0.09129031002521515,
0.04521758109331131,
0.06827889382839203,
-0.06783925741910934,
-0.05987846106290817,
0.014649542979896069,
-0.12083659321069717,
-0.04295920953154564,
0.013653470203280449,
0.036897484213113785,
-0.005433056969195604,
0.04511547461152077,
0.11410336196422577,
-0.017805559560656548,
-0.009759255684912205,
0.002192398998886347,
-0.007558554410934448,
-0.05218321084976196,
0.009986402466893196,
0.00954971369355917,
-0.004925556480884552,
-0.038367971777915955,
-0.017333265393972397,
-0.0007195363286882639,
0.05157012119889259,
0.043227341026067734,
-0.0736614316701889,
0.028512150049209595,
0.011494829319417477,
-0.013162982650101185,
-0.03995595872402191,
0.021487239748239517,
-0.0369812548160553,
0.008609812706708908,
0.06266796588897705,
0.0816117525100708,
0.019340362399816513,
0.04105040803551674,
0.004245839547365904,
0.05558251217007637,
-0.018458915874361992,
0.07421145588159561,
-0.06032513454556465,
0.04762830212712288,
-0.12247080355882645,
-0.008619298227131367,
0.01816294901072979,
-0.02402706816792488,
-0.10217037796974182,
0.009293516166508198,
0.06994327157735825,
-0.08361580967903137,
0.01795690506696701,
-0.029428012669086456,
0.02075226791203022,
-0.010075544007122517,
0.01102467067539692,
-0.06520841270685196,
-0.01665790006518364,
-0.018810579553246498,
0.03665347397327423,
0.019993506371974945,
0.05140167847275734,
0.0689159706234932,
-0.03174646198749542,
0.07743236422538757,
0.10409955680370331,
-0.00702732615172863,
-0.15450336039066315,
0.07452885806560516,
0.015033485367894173,
0.0677901953458786,
0.10179345309734344,
0.01154966652393341,
-0.0470343641936779,
-0.030066534876823425,
-0.036800455302000046,
0.03647798299789429,
0.006607714109122753,
-0.0758761465549469,
0.037379320710897446,
-0.006142279598861933,
-0.03544100001454353,
-0.07730156183242798,
0.01692233793437481,
0.047815900295972824,
-0.11404365301132202,
0.010054645128548145,
0.01802252046763897,
0.03161322697997093,
0.008395044133067131,
-0.0258694626390934,
0.0360882543027401,
0.00864316150546074,
0.04616416245698929,
0.03597071021795273,
-0.02367178536951542,
0.005277456250041723,
0.05859111249446869,
-0.0476391576230526,
0.026288602501153946,
0.07677510380744934,
-0.006383008789271116,
0.058956608176231384,
0.022108623757958412,
-0.0642719492316246,
-0.05908174440264702,
0.03325274959206581,
0.05409424751996994,
0.07035829871892929,
0.0026654708199203014,
0.012513270601630211,
0.04306206852197647,
0.0010778940049931407,
0.06514988839626312,
-0.004381770268082619,
0.07388422638177872,
0.017796291038393974,
0.03873768821358681,
-0.05844433978199959,
-0.02820521965622902,
-0.061394136399030685,
0.04025201499462128,
6.027088675084098e-33,
0.06422235071659088,
-0.010331974364817142,
0.03955282270908356,
-0.0018471116200089455,
0.014406436122953892,
-0.025176087394356728,
-0.028084220364689827,
0.010185851715505123,
-0.06951683014631271,
0.03855007141828537,
-0.07960604131221771,
0.06425946950912476,
0.020762089639902115,
0.03061787597835064,
0.028383314609527588,
-0.007876464165747166,
0.05170590430498123,
-0.00034340351703576744,
-0.03530222177505493,
-0.05800783261656761,
0.05979019030928612,
0.00479261064901948,
0.020203743129968643,
0.06971150636672974,
-0.0012030474608764052,
-0.09674561768770218,
0.01877356506884098,
-0.06595964729785919,
-0.011450336314737797,
0.005656349007040262,
-0.12141741812229156,
0.001259121927432716,
0.08949675410985947,
0.09706439077854156,
-0.08455182611942291,
-0.061318349093198776,
-0.050694093108177185,
-0.056554414331912994,
-0.07527302950620651,
-0.08789196610450745,
-0.014018187299370766,
0.03797900676727295,
0.008784794248640537,
-0.022181611508131027,
0.0008979034028016031,
-0.005660558585077524,
-0.043009813874959946,
-0.003304191632196307,
-0.03141709789633751,
0.05715592950582504,
-0.04200054332613945,
0.039276305586099625,
-0.03869519382715225,
0.010889883153140545,
-0.07043106108903885,
-0.012440592050552368,
0.023753857240080833,
0.08626805245876312,
0.07642630487680435,
0.05912283435463905,
-0.010080728679895401,
0.020901363343000412,
-0.02040831744670868,
0.051502980291843414,
-0.053108345717191696,
0.04764575883746147,
-0.037981290370225906,
-0.10606382042169571,
0.07771573960781097,
-0.102943055331707,
-0.043005771934986115,
0.014751570299267769,
-0.048125024884939194,
-0.0403234027326107,
0.0014568597543984652,
-0.02929476462304592,
0.06179562956094742,
-0.0831063762307167,
-0.09622959792613983,
0.014034029096364975,
-0.06077975779771805,
-0.02672283537685871,
0.04217233881354332,
-0.0886707678437233,
-0.06472422182559967,
-0.028065921738743782,
-0.004191224463284016,
-0.04091422259807587,
0.010011871345341206,
0.004006512463092804,
0.004761832766234875,
0.03123493492603302,
-0.017448464408516884,
-0.06094472110271454,
0.022342609241604805,
-4.125023102728478e-33,
0.01008286140859127,
-0.011509319767355919,
0.054268814623355865,
0.03233853355050087,
-0.05297655239701271,
-0.050858356058597565,
-0.041983604431152344,
-0.12257977575063705,
-0.020581047981977463,
0.033948808908462524,
-0.038645144551992416,
-0.045489583164453506,
0.035362910479307175,
-0.025703642517328262,
-0.08143709599971771,
-0.01889936812222004,
-0.0024991044774651527,
0.009636926464736462,
-0.06711392104625702,
0.05155558884143829,
0.0917711928486824,
0.08839874714612961,
-0.024118833243846893,
-0.03946458175778389,
0.08014760166406631,
0.08218256384134293,
-0.08351890742778778,
0.0580010786652565,
0.021204296499490738,
0.05065611004829407,
-0.02758500725030899,
-0.05741755664348602,
-0.12093500792980194,
-0.004237994085997343,
0.02754053846001625,
-0.031453512609004974,
0.04917886108160019,
0.10182494670152664,
-0.013829436153173447,
0.03517664223909378,
-0.010250883176922798,
0.019252020865678787,
-0.053873710334300995,
0.032419353723526,
0.060269299894571304,
-0.014981529675424099,
-0.023663992062211037,
0.027379199862480164,
0.002890947973355651,
0.002988316584378481,
-0.07551510632038116,
0.0006943760090507567,
0.05439891666173935,
0.05866731330752373,
0.031603239476680756,
-0.05442521721124649,
0.03936196118593216,
0.07158324122428894,
-0.037340182811021805,
-0.10287193953990936,
-0.011076203547418118,
0.05198031663894653,
-0.00018578303570393473,
0.029023349285125732,
0.05531417950987816,
-0.03594295307993889,
-0.019322015345096588,
-0.015027030371129513,
0.09612945467233658,
0.0889449268579483,
-0.08789028227329254,
0.05305134877562523,
0.006476713344454765,
-0.03275744616985321,
0.04509512707591057,
0.09237141162157059,
0.05991953983902931,
0.029527287930250168,
-0.0816013291478157,
0.009976276196539402,
-0.06900329887866974,
0.015738096088171005,
0.07834555208683014,
-0.004862095694988966,
-0.0013765862677246332,
0.02144221030175686,
-0.021873991936445236,
-0.0007714360835961998,
0.01991269178688526,
0.004770447965711355,
-0.013958004303276539,
-0.04289760813117027,
-0.028287248685956,
0.03713129833340645,
0.011682998389005661,
-4.8848960432223976e-8,
-0.019185781478881836,
-0.02805573306977749,
-0.07097433507442474,
-0.04655863344669342,
0.12257704138755798,
-0.022993767634034157,
0.04575815796852112,
0.0490657277405262,
-0.032195936888456345,
0.06925324350595474,
0.031646728515625,
0.01913992129266262,
0.004635239951312542,
0.010841683484613895,
-0.053206782788038254,
-0.033965274691581726,
-0.019856059923768044,
0.04561825469136238,
-0.049986742436885834,
-0.024440374225378036,
-0.02399745024740696,
-0.07293547689914703,
-0.03384094312787056,
0.10611609369516373,
-0.026131104677915573,
-0.029003219678997993,
-0.037970177829265594,
-0.03458303585648537,
-0.015766587108373642,
0.06350591033697128,
-0.01849033497273922,
-0.0031361612491309643,
0.1113126128911972,
-0.03525008633732796,
0.12454234063625336,
0.07673558592796326,
-0.05278145521879196,
0.0826680138707161,
-0.06279651075601578,
0.026531554758548737,
0.00201678485609591,
0.04281449690461159,
-0.011867529712617397,
0.03189581632614136,
0.07863965630531311,
-0.0563160702586174,
0.007607501931488514,
0.022165298461914062,
-0.002956298179924488,
-0.007718364708125591,
-0.020392153412103653,
-0.08022253960371017,
-0.009314673952758312,
-0.023353684693574905,
-0.02817012555897236,
0.1141931563615799,
-0.048759691417217255,
-0.05511348694562912,
0.11792626976966858,
-0.055327389389276505,
-0.015818100422620773,
0.03333088755607605,
0.021002473309636116,
-0.011120066978037357
] | null | null | null | null | null | null | null | [
-0.0391409657895565,
0.03917583078145981,
0.04932703822851181,
-0.005178680177778006,
0.09129031002521515,
0.04521758109331131,
0.06827889382839203,
-0.06783925741910934,
-0.05987846106290817,
0.014649542979896069,
-0.12083659321069717,
-0.04295920953154564,
0.013653470203280449,
0.036897484213113785,
-0.005433056969195604,
0.04511547461152077,
0.11410336196422577,
-0.017805559560656548,
-0.009759255684912205,
0.002192398998886347,
-0.007558554410934448,
-0.05218321084976196,
0.009986402466893196,
0.00954971369355917,
-0.004925556480884552,
-0.038367971777915955,
-0.017333265393972397,
-0.0007195363286882639,
0.05157012119889259,
0.043227341026067734,
-0.0736614316701889,
0.028512150049209595,
0.011494829319417477,
-0.013162982650101185,
-0.03995595872402191,
0.021487239748239517,
-0.0369812548160553,
0.008609812706708908,
0.06266796588897705,
0.0816117525100708,
0.019340362399816513,
0.04105040803551674,
0.004245839547365904,
0.05558251217007637,
-0.018458915874361992,
0.07421145588159561,
-0.06032513454556465,
0.04762830212712288,
-0.12247080355882645,
-0.008619298227131367,
0.01816294901072979,
-0.02402706816792488,
-0.10217037796974182,
0.009293516166508198,
0.06994327157735825,
-0.08361580967903137,
0.01795690506696701,
-0.029428012669086456,
0.02075226791203022,
-0.010075544007122517,
0.01102467067539692,
-0.06520841270685196,
-0.01665790006518364,
-0.018810579553246498,
0.03665347397327423,
0.019993506371974945,
0.05140167847275734,
0.0689159706234932,
-0.03174646198749542,
0.07743236422538757,
0.10409955680370331,
-0.00702732615172863,
-0.15450336039066315,
0.07452885806560516,
0.015033485367894173,
0.0677901953458786,
0.10179345309734344,
0.01154966652393341,
-0.0470343641936779,
-0.030066534876823425,
-0.036800455302000046,
0.03647798299789429,
0.006607714109122753,
-0.0758761465549469,
0.037379320710897446,
-0.006142279598861933,
-0.03544100001454353,
-0.07730156183242798,
0.01692233793437481,
0.047815900295972824,
-0.11404365301132202,
0.010054645128548145,
0.01802252046763897,
0.03161322697997093,
0.008395044133067131,
-0.0258694626390934,
0.0360882543027401,
0.00864316150546074,
0.04616416245698929,
0.03597071021795273,
-0.02367178536951542,
0.005277456250041723,
0.05859111249446869,
-0.0476391576230526,
0.026288602501153946,
0.07677510380744934,
-0.006383008789271116,
0.058956608176231384,
0.022108623757958412,
-0.0642719492316246,
-0.05908174440264702,
0.03325274959206581,
0.05409424751996994,
0.07035829871892929,
0.0026654708199203014,
0.012513270601630211,
0.04306206852197647,
0.0010778940049931407,
0.06514988839626312,
-0.004381770268082619,
0.07388422638177872,
0.017796291038393974,
0.03873768821358681,
-0.05844433978199959,
-0.02820521965622902,
-0.061394136399030685,
0.04025201499462128,
6.027088675084098e-33,
0.06422235071659088,
-0.010331974364817142,
0.03955282270908356,
-0.0018471116200089455,
0.014406436122953892,
-0.025176087394356728,
-0.028084220364689827,
0.010185851715505123,
-0.06951683014631271,
0.03855007141828537,
-0.07960604131221771,
0.06425946950912476,
0.020762089639902115,
0.03061787597835064,
0.028383314609527588,
-0.007876464165747166,
0.05170590430498123,
-0.00034340351703576744,
-0.03530222177505493,
-0.05800783261656761,
0.05979019030928612,
0.00479261064901948,
0.020203743129968643,
0.06971150636672974,
-0.0012030474608764052,
-0.09674561768770218,
0.01877356506884098,
-0.06595964729785919,
-0.011450336314737797,
0.005656349007040262,
-0.12141741812229156,
0.001259121927432716,
0.08949675410985947,
0.09706439077854156,
-0.08455182611942291,
-0.061318349093198776,
-0.050694093108177185,
-0.056554414331912994,
-0.07527302950620651,
-0.08789196610450745,
-0.014018187299370766,
0.03797900676727295,
0.008784794248640537,
-0.022181611508131027,
0.0008979034028016031,
-0.005660558585077524,
-0.043009813874959946,
-0.003304191632196307,
-0.03141709789633751,
0.05715592950582504,
-0.04200054332613945,
0.039276305586099625,
-0.03869519382715225,
0.010889883153140545,
-0.07043106108903885,
-0.012440592050552368,
0.023753857240080833,
0.08626805245876312,
0.07642630487680435,
0.05912283435463905,
-0.010080728679895401,
0.020901363343000412,
-0.02040831744670868,
0.051502980291843414,
-0.053108345717191696,
0.04764575883746147,
-0.037981290370225906,
-0.10606382042169571,
0.07771573960781097,
-0.102943055331707,
-0.043005771934986115,
0.014751570299267769,
-0.048125024884939194,
-0.0403234027326107,
0.0014568597543984652,
-0.02929476462304592,
0.06179562956094742,
-0.0831063762307167,
-0.09622959792613983,
0.014034029096364975,
-0.06077975779771805,
-0.02672283537685871,
0.04217233881354332,
-0.0886707678437233,
-0.06472422182559967,
-0.028065921738743782,
-0.004191224463284016,
-0.04091422259807587,
0.010011871345341206,
0.004006512463092804,
0.004761832766234875,
0.03123493492603302,
-0.017448464408516884,
-0.06094472110271454,
0.022342609241604805,
-4.125023102728478e-33,
0.01008286140859127,
-0.011509319767355919,
0.054268814623355865,
0.03233853355050087,
-0.05297655239701271,
-0.050858356058597565,
-0.041983604431152344,
-0.12257977575063705,
-0.020581047981977463,
0.033948808908462524,
-0.038645144551992416,
-0.045489583164453506,
0.035362910479307175,
-0.025703642517328262,
-0.08143709599971771,
-0.01889936812222004,
-0.0024991044774651527,
0.009636926464736462,
-0.06711392104625702,
0.05155558884143829,
0.0917711928486824,
0.08839874714612961,
-0.024118833243846893,
-0.03946458175778389,
0.08014760166406631,
0.08218256384134293,
-0.08351890742778778,
0.0580010786652565,
0.021204296499490738,
0.05065611004829407,
-0.02758500725030899,
-0.05741755664348602,
-0.12093500792980194,
-0.004237994085997343,
0.02754053846001625,
-0.031453512609004974,
0.04917886108160019,
0.10182494670152664,
-0.013829436153173447,
0.03517664223909378,
-0.010250883176922798,
0.019252020865678787,
-0.053873710334300995,
0.032419353723526,
0.060269299894571304,
-0.014981529675424099,
-0.023663992062211037,
0.027379199862480164,
0.002890947973355651,
0.002988316584378481,
-0.07551510632038116,
0.0006943760090507567,
0.05439891666173935,
0.05866731330752373,
0.031603239476680756,
-0.05442521721124649,
0.03936196118593216,
0.07158324122428894,
-0.037340182811021805,
-0.10287193953990936,
-0.011076203547418118,
0.05198031663894653,
-0.00018578303570393473,
0.029023349285125732,
0.05531417950987816,
-0.03594295307993889,
-0.019322015345096588,
-0.015027030371129513,
0.09612945467233658,
0.0889449268579483,
-0.08789028227329254,
0.05305134877562523,
0.006476713344454765,
-0.03275744616985321,
0.04509512707591057,
0.09237141162157059,
0.05991953983902931,
0.029527287930250168,
-0.0816013291478157,
0.009976276196539402,
-0.06900329887866974,
0.015738096088171005,
0.07834555208683014,
-0.004862095694988966,
-0.0013765862677246332,
0.02144221030175686,
-0.021873991936445236,
-0.0007714360835961998,
0.01991269178688526,
0.004770447965711355,
-0.013958004303276539,
-0.04289760813117027,
-0.028287248685956,
0.03713129833340645,
0.011682998389005661,
-4.8848960432223976e-8,
-0.019185781478881836,
-0.02805573306977749,
-0.07097433507442474,
-0.04655863344669342,
0.12257704138755798,
-0.022993767634034157,
0.04575815796852112,
0.0490657277405262,
-0.032195936888456345,
0.06925324350595474,
0.031646728515625,
0.01913992129266262,
0.004635239951312542,
0.010841683484613895,
-0.053206782788038254,
-0.033965274691581726,
-0.019856059923768044,
0.04561825469136238,
-0.049986742436885834,
-0.024440374225378036,
-0.02399745024740696,
-0.07293547689914703,
-0.03384094312787056,
0.10611609369516373,
-0.026131104677915573,
-0.029003219678997993,
-0.037970177829265594,
-0.03458303585648537,
-0.015766587108373642,
0.06350591033697128,
-0.01849033497273922,
-0.0031361612491309643,
0.1113126128911972,
-0.03525008633732796,
0.12454234063625336,
0.07673558592796326,
-0.05278145521879196,
0.0826680138707161,
-0.06279651075601578,
0.026531554758548737,
0.00201678485609591,
0.04281449690461159,
-0.011867529712617397,
0.03189581632614136,
0.07863965630531311,
-0.0563160702586174,
0.007607501931488514,
0.022165298461914062,
-0.002956298179924488,
-0.007718364708125591,
-0.020392153412103653,
-0.08022253960371017,
-0.009314673952758312,
-0.023353684693574905,
-0.02817012555897236,
0.1141931563615799,
-0.048759691417217255,
-0.05511348694562912,
0.11792626976966858,
-0.055327389389276505,
-0.015818100422620773,
0.03333088755607605,
0.021002473309636116,
-0.011120066978037357
] |
1401.0297 | Pratim Kumar Chattaraj | Ranjita Das and Pratim Kumar Chattaraj | Gas Storage Potential of Li-decorated ExBox4+ | null | null | null | null | physics.atm-clus | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The newly developed compound ExBox4+ is explored to check whether it is a
proficient hydrogen storage material. Both exoherdal and endohedral hydrogen
adsorption on ExBox4+ are studied. Endohedral hydrogen molecules interact
strongly than exohedral ones. The hydrogen adsorption energy is as good as the
recently studied charged fullerenes. The hydrogen storage capacity appears to
be ~4.3 wt%. The endohedral CO sorption is also analysed with the help of DFT.
The first principle DFT calculation and MD simulation are performed to
investigate the effect of lithium doping on the gas adsorbing capacity and
adsorption enthalpy as well as adsorption energy of ExBox4+.The metal atom
interaction with ExBox4+is found to be pretty strong, and the interaction
energy appears to be higher than the metal cohesive energy.The thermodynamic
parameters suggest that metal doping method is spontaneous in nature. The
analysis of adsorption energy, thermodynamic properties and MD simulation
results suggest that Li doped ExBox4+ can be a promising gas adsorbing
material. Lithium doping increases the gas adsorption capacity of ExBox4+. The
Li decorated ExBox4+ is found to adsorb twenty four hydrogen molecules with a
gravimetric wt% of 6.23. Adsorption of CO on the metal decorated ExBox4+ is
also studied. AIM analysis is performed to obtain a general idea of the bonding
interaction between Li-H and Li-C.
| [
{
"created": "Wed, 1 Jan 2014 15:46:40 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Das",
"Ranjita",
""
],
[
"Chattaraj",
"Pratim Kumar",
""
]
] | [
0.034019555896520615,
0.06414594501256943,
-0.0825205072760582,
0.027188779786229134,
0.09858591109514236,
-0.036896996200084686,
0.03403088450431824,
0.031338077038526535,
-0.06518646329641342,
-0.02332865446805954,
-0.02999630756676197,
0.0026087358128279448,
-0.03279927000403404,
0.004777614027261734,
0.053200047463178635,
0.015606330707669258,
0.03991413861513138,
0.02818126790225506,
-0.022992458194494247,
0.09226793795824051,
0.06437757611274719,
-0.07731912285089493,
0.05412300303578377,
-0.05928746610879898,
0.006574566941708326,
0.08862008899450302,
0.03423716872930527,
-0.07780972123146057,
-0.02374177798628807,
-0.016129538416862488,
0.041001345962285995,
-0.017654523253440857,
-0.01088626403361559,
-0.04242438077926636,
0.03359254077076912,
0.029301345348358154,
-0.016355792060494423,
0.015935862436890602,
0.006078222766518593,
-0.06394390016794205,
-0.08244999498128891,
-0.001761272782459855,
0.0415765754878521,
-0.018691375851631165,
-0.06369674950838089,
-0.03564746305346489,
0.06816275417804718,
-0.05102778598666191,
0.006566712632775307,
-0.03747686371207237,
0.14700886607170105,
-0.016407707706093788,
0.022892583161592484,
0.037553269416093826,
-0.01841721683740616,
0.019905539229512215,
-0.03875194489955902,
0.05017368122935295,
0.010249365121126175,
-0.04350503161549568,
0.03423703461885452,
0.041663482785224915,
0.027705861255526543,
-0.04181230068206787,
0.001232305308803916,
-0.025101784616708755,
0.09061168879270554,
-0.05524877831339836,
0.006840923335403204,
-0.016731277108192444,
0.025460103526711464,
0.06321663409471512,
-0.04771299287676811,
-0.015159842558205128,
-0.029827065765857697,
0.047512367367744446,
0.041225019842386246,
0.0018421470886096358,
0.05926346406340599,
0.037751954048871994,
0.0060167089104652405,
0.059787143021821976,
0.030442308634519577,
-0.0801144614815712,
-0.018208084627985954,
-0.005279752425849438,
0.01900283619761467,
0.014694547280669212,
-0.047481752932071686,
-0.04253263771533966,
-0.008506469428539276,
0.09286362677812576,
-0.04845301806926727,
-0.02561485953629017,
0.020562468096613884,
0.029001589864492416,
-0.0334644615650177,
0.004110724665224552,
0.014786873012781143,
-0.016471493989229202,
0.01857190765440464,
0.09134508669376373,
-0.07929448783397675,
-0.06308258324861526,
-0.015912774950265884,
-0.09635696560144424,
0.05225444585084915,
0.08888380229473114,
0.0255612563341856,
0.044332824647426605,
0.011542967520654202,
-0.08835315704345703,
0.07640267163515091,
-0.007604115642607212,
-0.057941652834415436,
0.06773607432842255,
-0.09834852069616318,
-0.014154157601296902,
-0.056148041039705276,
-0.04043382406234741,
0.02087966538965702,
0.07824287563562393,
0.07649312168359756,
-0.01155707985162735,
0.08995592594146729,
-0.04629170522093773,
-0.022082660347223282,
5.5316343366018125e-33,
0.029069917276501656,
-0.047004520893096924,
0.03738507628440857,
0.002220973838120699,
0.024020936340093613,
-0.013303898274898529,
0.006323287263512611,
0.002994845388457179,
-0.05536850541830063,
-0.015390042215585709,
0.013788680545985699,
-0.04523532837629318,
0.01947113685309887,
-0.008673381060361862,
-0.060004591941833496,
0.06098177656531334,
0.022134358063340187,
0.013756586238741875,
0.041749924421310425,
0.04704859107732773,
-0.024223176762461662,
0.07659029215574265,
0.021989459171891212,
0.09562364965677261,
-0.014553278684616089,
0.08396937698125839,
0.07575823366641998,
-0.11607446521520615,
0.038366615772247314,
0.0014094883808866143,
-0.026175836101174355,
0.01061532087624073,
-0.11833813041448593,
0.023291530087590218,
0.030508508905768394,
0.016824502497911453,
-0.041274022310972214,
0.04490141570568085,
-0.004350156057626009,
-0.11661168187856674,
0.015204216353595257,
-0.019182564690709114,
0.022045958787202835,
0.005155637860298157,
-0.020168298855423927,
-0.003019422758370638,
0.029963603243231773,
-0.048609670251607895,
-0.059145890176296234,
0.0034785850439220667,
0.042421601712703705,
0.009228412993252277,
-0.05335855856537819,
0.014430624432861805,
-0.047491710633039474,
-0.01693795621395111,
-0.03432222455739975,
0.04565644636750221,
-0.0054022022522985935,
0.03464441001415253,
-0.041889917105436325,
0.07527872174978256,
0.005620123352855444,
0.019870271906256676,
-0.052988141775131226,
-0.0008996491669677198,
-0.059552647173404694,
-0.06177597865462303,
0.0008502419223077595,
0.0074950275011360645,
0.022269446402788162,
-0.0654008686542511,
0.11195125430822372,
0.023514609783887863,
-0.03617879003286362,
0.059946175664663315,
0.04716217890381813,
-0.11732413619756699,
0.06919356435537338,
-0.05187845975160599,
-0.039400190114974976,
-0.0651615709066391,
0.08064504712820053,
-0.0295871589332819,
-0.12254352867603302,
-0.09370489418506622,
-0.05220790207386017,
-0.00840815994888544,
0.10423910617828369,
0.004333325196057558,
-0.07397914677858353,
-0.11125852912664413,
0.007393402047455311,
-0.04399392381310463,
-0.028243660926818848,
-7.350736456412273e-33,
0.055453162640333176,
0.05451439321041107,
0.016318555921316147,
-0.06529121845960617,
0.012163400650024414,
0.09985911101102829,
0.020339692011475563,
-0.045960359275341034,
0.046308767050504684,
-0.022867074236273766,
0.03218487650156021,
-0.08683139830827713,
0.03148393705487251,
0.03937308490276337,
-0.014861281029880047,
0.05616714805364609,
-0.06413901597261429,
-0.09768892824649811,
0.057841915637254715,
0.0068707880564033985,
0.0013895474839955568,
0.07036153972148895,
-0.019562844187021255,
0.024666184559464455,
0.02146538905799389,
-0.05560322478413582,
0.07849382609128952,
-0.06179172173142433,
0.047220081090927124,
0.0012958814622834325,
0.05101514980196953,
0.028146740049123764,
0.02037576399743557,
0.03294263035058975,
-0.018892033025622368,
0.0034772828221321106,
0.0034394634421914816,
0.003440333530306816,
-0.01779530756175518,
0.02748272940516472,
-0.06278906762599945,
-0.0567626915872097,
0.017632802948355675,
-0.05065217241644859,
0.04012336581945419,
-0.08574330061674118,
-0.06213923916220665,
-0.03379466384649277,
0.10250058770179749,
0.04581168666481972,
-0.018914224579930305,
-0.019310709089040756,
-0.06097129359841347,
-0.04273420572280884,
-0.040818870067596436,
-0.017285244539380074,
-0.041560281068086624,
0.04672107473015785,
-0.06367021799087524,
0.006016378290951252,
0.04274218901991844,
0.024094199761748314,
0.1526632159948349,
-0.013533568009734154,
-0.09021386504173279,
-0.10227753221988678,
0.03532712161540985,
-0.002945460844784975,
0.016355382278561592,
-0.08645062893629074,
0.020421549677848816,
-0.04087650775909424,
0.08573171496391296,
0.08843161165714264,
0.09561389684677124,
-0.03617240861058235,
0.08468885719776154,
-0.0830364003777504,
0.04809920862317085,
-0.022203950211405754,
-0.07314274460077286,
0.054755210876464844,
0.051134154200553894,
-0.02881338819861412,
0.041443463414907455,
-0.01919112727046013,
0.0019893795251846313,
0.058015771210193634,
-0.020332280546426773,
-0.036442190408706665,
-0.012986276298761368,
-0.016583003103733063,
0.04315347224473953,
0.0984174907207489,
-0.07874883711338043,
-4.725532676275179e-8,
-0.05060029774904251,
-0.0021954949479550123,
0.01642766036093235,
0.03262316435575485,
-0.10036513954401016,
0.015571494586765766,
0.03300561010837555,
0.06975754350423813,
-0.012673450633883476,
-0.12418001145124435,
0.014635579660534859,
-0.05156108736991882,
-0.09186866134405136,
-0.07975465804338455,
0.011405974626541138,
-0.03295491635799408,
-0.06821493804454803,
-0.016764529049396515,
-0.030873682349920273,
0.002696659881621599,
-0.013320812955498695,
-0.0692501962184906,
-0.005458880681544542,
-0.04743564501404762,
-0.05369403213262558,
-0.015193565748631954,
0.03130847588181496,
-0.004681858234107494,
0.008962475694715977,
-0.041503168642520905,
-0.05127684026956558,
0.04111325740814209,
0.032380446791648865,
-0.02216954715549946,
0.07824237644672394,
-0.043564874678850174,
0.047467250376939774,
0.02038445509970188,
-0.022828388959169388,
0.07034137099981308,
0.03640756383538246,
-0.018973706290125847,
0.06900852918624878,
-0.02939937263727188,
-0.021988751366734505,
-0.06237506493926048,
-0.04752782732248306,
0.04647750407457352,
0.054563507437705994,
0.11277274042367935,
0.03894384577870369,
-0.014521360397338867,
-0.045505937188863754,
0.020510036498308182,
-0.004576248582452536,
0.0878518745303154,
-0.12043604999780655,
0.03402005508542061,
0.007559192832559347,
0.008509824983775616,
0.04260256141424179,
-0.021836979314684868,
-0.03676025569438934,
0.0034642312675714493
] | null | null | null | null | null | null | null | [
0.034019555896520615,
0.06414594501256943,
-0.0825205072760582,
0.027188779786229134,
0.09858591109514236,
-0.036896996200084686,
0.03403088450431824,
0.031338077038526535,
-0.06518646329641342,
-0.02332865446805954,
-0.02999630756676197,
0.0026087358128279448,
-0.03279927000403404,
0.004777614027261734,
0.053200047463178635,
0.015606330707669258,
0.03991413861513138,
0.02818126790225506,
-0.022992458194494247,
0.09226793795824051,
0.06437757611274719,
-0.07731912285089493,
0.05412300303578377,
-0.05928746610879898,
0.006574566941708326,
0.08862008899450302,
0.03423716872930527,
-0.07780972123146057,
-0.02374177798628807,
-0.016129538416862488,
0.041001345962285995,
-0.017654523253440857,
-0.01088626403361559,
-0.04242438077926636,
0.03359254077076912,
0.029301345348358154,
-0.016355792060494423,
0.015935862436890602,
0.006078222766518593,
-0.06394390016794205,
-0.08244999498128891,
-0.001761272782459855,
0.0415765754878521,
-0.018691375851631165,
-0.06369674950838089,
-0.03564746305346489,
0.06816275417804718,
-0.05102778598666191,
0.006566712632775307,
-0.03747686371207237,
0.14700886607170105,
-0.016407707706093788,
0.022892583161592484,
0.037553269416093826,
-0.01841721683740616,
0.019905539229512215,
-0.03875194489955902,
0.05017368122935295,
0.010249365121126175,
-0.04350503161549568,
0.03423703461885452,
0.041663482785224915,
0.027705861255526543,
-0.04181230068206787,
0.001232305308803916,
-0.025101784616708755,
0.09061168879270554,
-0.05524877831339836,
0.006840923335403204,
-0.016731277108192444,
0.025460103526711464,
0.06321663409471512,
-0.04771299287676811,
-0.015159842558205128,
-0.029827065765857697,
0.047512367367744446,
0.041225019842386246,
0.0018421470886096358,
0.05926346406340599,
0.037751954048871994,
0.0060167089104652405,
0.059787143021821976,
0.030442308634519577,
-0.0801144614815712,
-0.018208084627985954,
-0.005279752425849438,
0.01900283619761467,
0.014694547280669212,
-0.047481752932071686,
-0.04253263771533966,
-0.008506469428539276,
0.09286362677812576,
-0.04845301806926727,
-0.02561485953629017,
0.020562468096613884,
0.029001589864492416,
-0.0334644615650177,
0.004110724665224552,
0.014786873012781143,
-0.016471493989229202,
0.01857190765440464,
0.09134508669376373,
-0.07929448783397675,
-0.06308258324861526,
-0.015912774950265884,
-0.09635696560144424,
0.05225444585084915,
0.08888380229473114,
0.0255612563341856,
0.044332824647426605,
0.011542967520654202,
-0.08835315704345703,
0.07640267163515091,
-0.007604115642607212,
-0.057941652834415436,
0.06773607432842255,
-0.09834852069616318,
-0.014154157601296902,
-0.056148041039705276,
-0.04043382406234741,
0.02087966538965702,
0.07824287563562393,
0.07649312168359756,
-0.01155707985162735,
0.08995592594146729,
-0.04629170522093773,
-0.022082660347223282,
5.5316343366018125e-33,
0.029069917276501656,
-0.047004520893096924,
0.03738507628440857,
0.002220973838120699,
0.024020936340093613,
-0.013303898274898529,
0.006323287263512611,
0.002994845388457179,
-0.05536850541830063,
-0.015390042215585709,
0.013788680545985699,
-0.04523532837629318,
0.01947113685309887,
-0.008673381060361862,
-0.060004591941833496,
0.06098177656531334,
0.022134358063340187,
0.013756586238741875,
0.041749924421310425,
0.04704859107732773,
-0.024223176762461662,
0.07659029215574265,
0.021989459171891212,
0.09562364965677261,
-0.014553278684616089,
0.08396937698125839,
0.07575823366641998,
-0.11607446521520615,
0.038366615772247314,
0.0014094883808866143,
-0.026175836101174355,
0.01061532087624073,
-0.11833813041448593,
0.023291530087590218,
0.030508508905768394,
0.016824502497911453,
-0.041274022310972214,
0.04490141570568085,
-0.004350156057626009,
-0.11661168187856674,
0.015204216353595257,
-0.019182564690709114,
0.022045958787202835,
0.005155637860298157,
-0.020168298855423927,
-0.003019422758370638,
0.029963603243231773,
-0.048609670251607895,
-0.059145890176296234,
0.0034785850439220667,
0.042421601712703705,
0.009228412993252277,
-0.05335855856537819,
0.014430624432861805,
-0.047491710633039474,
-0.01693795621395111,
-0.03432222455739975,
0.04565644636750221,
-0.0054022022522985935,
0.03464441001415253,
-0.041889917105436325,
0.07527872174978256,
0.005620123352855444,
0.019870271906256676,
-0.052988141775131226,
-0.0008996491669677198,
-0.059552647173404694,
-0.06177597865462303,
0.0008502419223077595,
0.0074950275011360645,
0.022269446402788162,
-0.0654008686542511,
0.11195125430822372,
0.023514609783887863,
-0.03617879003286362,
0.059946175664663315,
0.04716217890381813,
-0.11732413619756699,
0.06919356435537338,
-0.05187845975160599,
-0.039400190114974976,
-0.0651615709066391,
0.08064504712820053,
-0.0295871589332819,
-0.12254352867603302,
-0.09370489418506622,
-0.05220790207386017,
-0.00840815994888544,
0.10423910617828369,
0.004333325196057558,
-0.07397914677858353,
-0.11125852912664413,
0.007393402047455311,
-0.04399392381310463,
-0.028243660926818848,
-7.350736456412273e-33,
0.055453162640333176,
0.05451439321041107,
0.016318555921316147,
-0.06529121845960617,
0.012163400650024414,
0.09985911101102829,
0.020339692011475563,
-0.045960359275341034,
0.046308767050504684,
-0.022867074236273766,
0.03218487650156021,
-0.08683139830827713,
0.03148393705487251,
0.03937308490276337,
-0.014861281029880047,
0.05616714805364609,
-0.06413901597261429,
-0.09768892824649811,
0.057841915637254715,
0.0068707880564033985,
0.0013895474839955568,
0.07036153972148895,
-0.019562844187021255,
0.024666184559464455,
0.02146538905799389,
-0.05560322478413582,
0.07849382609128952,
-0.06179172173142433,
0.047220081090927124,
0.0012958814622834325,
0.05101514980196953,
0.028146740049123764,
0.02037576399743557,
0.03294263035058975,
-0.018892033025622368,
0.0034772828221321106,
0.0034394634421914816,
0.003440333530306816,
-0.01779530756175518,
0.02748272940516472,
-0.06278906762599945,
-0.0567626915872097,
0.017632802948355675,
-0.05065217241644859,
0.04012336581945419,
-0.08574330061674118,
-0.06213923916220665,
-0.03379466384649277,
0.10250058770179749,
0.04581168666481972,
-0.018914224579930305,
-0.019310709089040756,
-0.06097129359841347,
-0.04273420572280884,
-0.040818870067596436,
-0.017285244539380074,
-0.041560281068086624,
0.04672107473015785,
-0.06367021799087524,
0.006016378290951252,
0.04274218901991844,
0.024094199761748314,
0.1526632159948349,
-0.013533568009734154,
-0.09021386504173279,
-0.10227753221988678,
0.03532712161540985,
-0.002945460844784975,
0.016355382278561592,
-0.08645062893629074,
0.020421549677848816,
-0.04087650775909424,
0.08573171496391296,
0.08843161165714264,
0.09561389684677124,
-0.03617240861058235,
0.08468885719776154,
-0.0830364003777504,
0.04809920862317085,
-0.022203950211405754,
-0.07314274460077286,
0.054755210876464844,
0.051134154200553894,
-0.02881338819861412,
0.041443463414907455,
-0.01919112727046013,
0.0019893795251846313,
0.058015771210193634,
-0.020332280546426773,
-0.036442190408706665,
-0.012986276298761368,
-0.016583003103733063,
0.04315347224473953,
0.0984174907207489,
-0.07874883711338043,
-4.725532676275179e-8,
-0.05060029774904251,
-0.0021954949479550123,
0.01642766036093235,
0.03262316435575485,
-0.10036513954401016,
0.015571494586765766,
0.03300561010837555,
0.06975754350423813,
-0.012673450633883476,
-0.12418001145124435,
0.014635579660534859,
-0.05156108736991882,
-0.09186866134405136,
-0.07975465804338455,
0.011405974626541138,
-0.03295491635799408,
-0.06821493804454803,
-0.016764529049396515,
-0.030873682349920273,
0.002696659881621599,
-0.013320812955498695,
-0.0692501962184906,
-0.005458880681544542,
-0.04743564501404762,
-0.05369403213262558,
-0.015193565748631954,
0.03130847588181496,
-0.004681858234107494,
0.008962475694715977,
-0.041503168642520905,
-0.05127684026956558,
0.04111325740814209,
0.032380446791648865,
-0.02216954715549946,
0.07824237644672394,
-0.043564874678850174,
0.047467250376939774,
0.02038445509970188,
-0.022828388959169388,
0.07034137099981308,
0.03640756383538246,
-0.018973706290125847,
0.06900852918624878,
-0.02939937263727188,
-0.021988751366734505,
-0.06237506493926048,
-0.04752782732248306,
0.04647750407457352,
0.054563507437705994,
0.11277274042367935,
0.03894384577870369,
-0.014521360397338867,
-0.045505937188863754,
0.020510036498308182,
-0.004576248582452536,
0.0878518745303154,
-0.12043604999780655,
0.03402005508542061,
0.007559192832559347,
0.008509824983775616,
0.04260256141424179,
-0.021836979314684868,
-0.03676025569438934,
0.0034642312675714493
] |
1401.0302 | Yinan Yu | Yinan Yu, Shawn Mitryk, Guido Mueller | Arm locking for space-based laser interferometry gravitational wave
observatories | 18 pages | null | 10.1103/PhysRevD.90.062005 | null | gr-qc astro-ph.IM physics.ins-det | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Laser frequency stabilization is a critical part of the interferometry
measurement system of space-based gravitational wave observatories such as the
Laser Interferometer Space Antenna (LISA). Arm locking as a proposed frequency
stabilization technique, transfers the stability of the long arm lengths to the
laser frequency. The arm locking sensor synthesizes an adequately filtered
linear combination of the inter-spacecraft phase measurements to estimate the
laser frequency noise, which can be used to control the laser frequency. At the
University of Florida we developed the hardware-based University of Florida
LISA Interferometer Simulator (UFLIS) to study and verify laser frequency noise
reduction and suppression techniques under realistic LISA-like conditions.
These conditions include the variable Doppler shifts between the spacecraft,
LISA-like signal travel times, optical transponders, realistic laser frequency
and timing noise. We review the different types of arm locking sensors and
discuss their expected performance in LISA. The presented results are supported
by results obtained during experimental studies of arm locking under relevant
LISA-like conditions. We measured the noise suppression as well as initial
transients and frequency pulling in the presence of Doppler frequency errors.
This work has demonstrated the validity and \ feasibility of arm locking in
LISA.
| [
{
"created": "Wed, 1 Jan 2014 16:20:29 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2014 18:14:11 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Yu",
"Yinan",
""
],
[
"Mitryk",
"Shawn",
""
],
[
"Mueller",
"Guido",
""
]
] | [
-0.05659705772995949,
-0.04250139743089676,
0.013577803038060665,
-0.0025537251494824886,
-0.09781820327043533,
-0.08140397816896439,
0.0193286444991827,
-0.08031613379716873,
-0.02363002486526966,
-0.03919503465294838,
-0.018361512571573257,
-0.0007436358137056231,
0.0007547605782747269,
-0.1043911725282669,
-0.01929338090121746,
0.007902288809418678,
0.06411401927471161,
0.019937848672270775,
0.022257953882217407,
0.07897520810365677,
0.014849193394184113,
0.010274714790284634,
-0.02659977227449417,
0.06545039266347885,
-0.03210371360182762,
-0.0036251130513846874,
-0.03292832896113396,
-0.06393888592720032,
-0.005952806212007999,
0.05406203120946884,
-0.01958027295768261,
-0.04625992104411125,
-0.061374448239803314,
0.006699108984321356,
-0.03189140185713768,
-0.011172250844538212,
0.08792611956596375,
-0.06715860962867737,
0.03496627137064934,
-0.013603380881249905,
0.0134950652718544,
-0.08822490274906158,
0.04774374142289162,
0.0021133581176400185,
-0.06718307733535767,
0.07560135424137115,
0.025700384750962257,
-0.03861084207892418,
-0.06165642663836479,
-0.007993409410119057,
-0.02774466946721077,
0.06092899292707443,
-0.02104911394417286,
-0.0410381443798542,
0.04162577912211418,
-0.009063739329576492,
0.07258477807044983,
0.03308914974331856,
-0.004210292361676693,
0.0117661627009511,
-0.0021279994398355484,
0.00013828338705934584,
-0.08023687452077866,
0.01773308962583542,
-0.013643127866089344,
0.010508407838642597,
-0.003633700078353286,
-0.007643545046448708,
0.010338409803807735,
-0.015778299421072006,
-0.05040888115763664,
0.044947974383831024,
-0.0005278252065181732,
-0.031082477420568466,
0.03693488985300064,
0.07205526530742645,
0.07323814928531647,
0.08913813531398773,
0.035814035683870316,
0.04619108512997627,
0.07636597007513046,
-0.054911572486162186,
-0.039652612060308456,
-0.012902617454528809,
-0.05446347966790199,
-0.02057039551436901,
0.1203237995505333,
0.08842387795448303,
0.02286325953900814,
-0.04326845705509186,
-0.02937311865389347,
-0.009108508005738258,
-0.06763271987438202,
-0.016401227563619614,
-0.004475388675928116,
0.014568035490810871,
0.013528694398701191,
-0.008658855222165585,
-0.022032056003808975,
0.02471992000937462,
0.04332641884684563,
-0.04901517182588577,
0.018995849415659904,
0.0827111005783081,
-0.08410023152828217,
0.016826549544930458,
0.015363728627562523,
-0.006294169928878546,
-0.05243528634309769,
0.021034924313426018,
0.026359815150499344,
0.01773102954030037,
-0.027618730440735817,
0.03867072984576225,
-0.06900456547737122,
0.053715746849775314,
-0.08343975991010666,
0.06105239689350128,
0.046710383147001266,
-0.03903650492429733,
-0.02800675295293331,
-0.0480477474629879,
0.06816486269235611,
0.006592449266463518,
0.012162418104708195,
0.03986605256795883,
0.012566627934575081,
6.669996014743074e-34,
-0.02753252536058426,
-0.0012562021147459745,
-0.058267928659915924,
-0.060789916664361954,
-0.050464384257793427,
0.06527416408061981,
-0.0847359374165535,
0.11134670674800873,
-0.06266827136278152,
0.02860957384109497,
0.04351136088371277,
-0.05641808733344078,
-0.033011194318532944,
0.015826309099793434,
0.06951002031564713,
0.068614661693573,
0.08073894679546356,
0.031407471746206284,
0.02462375909090042,
0.0385916642844677,
0.05722285807132721,
-0.0629328042268753,
-0.0481700524687767,
0.04509725794196129,
0.002030644565820694,
0.12976644933223724,
-0.051833316683769226,
0.0042245350778102875,
-0.02234041504561901,
0.009687499143183231,
-0.00934117566794157,
0.006230736616998911,
0.02018890343606472,
-0.0069632092490792274,
0.01378810778260231,
-0.047793831676244736,
-0.013634772971272469,
0.05970695987343788,
-0.09008139371871948,
-0.002064306056126952,
0.059937164187431335,
0.029629066586494446,
-0.006017668172717094,
-0.017514914274215698,
0.09137826412916183,
-0.08892939984798431,
-0.02543594129383564,
-0.06384109705686569,
0.0020262973848730326,
0.10643512010574341,
0.011326728388667107,
0.009077223017811775,
-0.07559434324502945,
0.002810710109770298,
0.07058727741241455,
-0.029239054769277573,
0.021254612132906914,
0.016226451843976974,
-0.056180525571107864,
-0.003358566900715232,
-0.05582413077354431,
-0.04481545090675354,
0.14058609306812286,
-0.07368478924036026,
0.057259418070316315,
0.07107648998498917,
-0.04685205593705177,
-0.004011656157672405,
-0.032165899872779846,
0.039359696209430695,
-0.02555493637919426,
-0.0013324696337804198,
0.10857480764389038,
-0.008465709164738655,
-0.05031886696815491,
-0.016206542029976845,
-0.031050391495227814,
0.11133623123168945,
-0.03334423154592514,
0.0041671693325042725,
0.06959110498428345,
-0.036602068692445755,
0.05495475232601166,
0.017949948087334633,
-0.02155047282576561,
-0.010965078137814999,
-0.04308558255434036,
0.06882565468549728,
-0.05927696451544762,
-0.08296055346727371,
0.001310100662522018,
0.020222580060362816,
-0.03602738678455353,
-0.0029874444007873535,
-0.032847221940755844,
-2.5256348360821193e-33,
0.0980401411652565,
-0.032109491527080536,
0.05153123661875725,
0.01775282621383667,
0.042127516120672226,
0.05455291271209717,
0.033486198633909225,
0.03947759047150612,
-0.010750038549304008,
-0.008943232707679272,
-0.03470957279205322,
-0.08106689900159836,
-0.042893871665000916,
0.03280752897262573,
-0.02046036161482334,
-0.018230294808745384,
-0.02257498726248741,
-0.04075486212968826,
-0.004780307412147522,
0.03184761479496956,
0.1273626834154129,
0.04062291234731674,
0.042489953339099884,
0.042204804718494415,
0.029458049684762955,
-0.08131223171949387,
0.014126786030828953,
-0.039883531630039215,
-0.03777223825454712,
-0.00791151262819767,
-0.09464103728532791,
-0.004238320980221033,
0.08588950335979462,
0.06662527471780777,
0.06684497743844986,
-0.015679726377129555,
0.003896027337759733,
-0.017651986330747604,
0.02446269430220127,
0.03573334962129593,
0.015653396025300026,
0.11113599687814713,
0.016486531123518944,
-0.11261315643787384,
0.0234083142131567,
0.03469685837626457,
-0.0029983248095959425,
0.029238101094961166,
-0.06295502930879593,
-0.03729243576526642,
-0.05946565791964531,
-0.03332267701625824,
-0.011820505373179913,
0.000021513131287065335,
0.037266671657562256,
0.032734788954257965,
0.014935105107724667,
0.04308965429663658,
0.008063741028308868,
0.05590837821364403,
-0.006212696898728609,
-0.00020366569515317678,
0.02571806311607361,
0.005423087626695633,
0.009896372444927692,
0.06776292622089386,
0.0009384441073052585,
-0.04417305439710617,
-0.033687323331832886,
0.06777898967266083,
0.038445767015218735,
-0.0995674729347229,
0.038766250014305115,
0.05008412152528763,
0.052848730236291885,
0.07926416397094727,
0.004570904653519392,
-0.10030169785022736,
-0.027027040719985962,
0.044892095029354095,
-0.05100367218255997,
-0.0859803557395935,
0.0236772783100605,
0.1085786297917366,
-0.031218282878398895,
0.03178026154637337,
-0.07132118940353394,
-0.06063636764883995,
-0.040909986943006516,
-0.048817094415426254,
-0.008480866439640522,
0.07200435549020767,
0.0194452665746212,
-0.06096290051937103,
0.06801604479551315,
-4.314057733267873e-8,
0.027088649570941925,
-0.008193197660148144,
-0.09030781686306,
0.06637377291917801,
-0.002822285983711481,
0.017967939376831055,
-0.012754312716424465,
-0.04748547449707985,
-0.03555382415652275,
-0.06660635769367218,
-0.00024841606500558555,
-0.08351502567529678,
-0.05851602554321289,
0.03483960032463074,
-0.028754781931638718,
-0.03942518308758736,
0.013691018335521221,
-0.056910619139671326,
-0.024035925045609474,
0.011723811738193035,
-0.02806096524000168,
0.00794091448187828,
0.11399821192026138,
-0.12002023309469223,
-0.018989158794283867,
-0.020837849006056786,
0.0210532546043396,
0.054893262684345245,
-0.0292696300894022,
0.011011005379259586,
-0.033190689980983734,
-0.08489803224802017,
-0.043489862233400345,
0.04138863459229469,
-0.08732373267412186,
-0.023650499060750008,
-0.018105894327163696,
0.026110783219337463,
0.08350571990013123,
0.06350697576999664,
0.06864229589700699,
0.09343046694993973,
-0.11508189141750336,
-0.012242925353348255,
0.04691510275006294,
0.14214059710502625,
0.08780311793088913,
-0.07829804718494415,
-0.05283024534583092,
0.10862378031015396,
-0.021375175565481186,
0.09609155356884003,
-0.04351778328418732,
-0.07386169582605362,
-0.0196230448782444,
0.0969945564866066,
0.034041259437799454,
-0.02145068161189556,
0.0184815414249897,
-0.003091589082032442,
-0.028359131887555122,
0.017368564382195473,
-0.07285002619028091,
-0.03416745737195015
] | null | null | null | null | null | null | null | [
-0.05659705772995949,
-0.04250139743089676,
0.013577803038060665,
-0.0025537251494824886,
-0.09781820327043533,
-0.08140397816896439,
0.0193286444991827,
-0.08031613379716873,
-0.02363002486526966,
-0.03919503465294838,
-0.018361512571573257,
-0.0007436358137056231,
0.0007547605782747269,
-0.1043911725282669,
-0.01929338090121746,
0.007902288809418678,
0.06411401927471161,
0.019937848672270775,
0.022257953882217407,
0.07897520810365677,
0.014849193394184113,
0.010274714790284634,
-0.02659977227449417,
0.06545039266347885,
-0.03210371360182762,
-0.0036251130513846874,
-0.03292832896113396,
-0.06393888592720032,
-0.005952806212007999,
0.05406203120946884,
-0.01958027295768261,
-0.04625992104411125,
-0.061374448239803314,
0.006699108984321356,
-0.03189140185713768,
-0.011172250844538212,
0.08792611956596375,
-0.06715860962867737,
0.03496627137064934,
-0.013603380881249905,
0.0134950652718544,
-0.08822490274906158,
0.04774374142289162,
0.0021133581176400185,
-0.06718307733535767,
0.07560135424137115,
0.025700384750962257,
-0.03861084207892418,
-0.06165642663836479,
-0.007993409410119057,
-0.02774466946721077,
0.06092899292707443,
-0.02104911394417286,
-0.0410381443798542,
0.04162577912211418,
-0.009063739329576492,
0.07258477807044983,
0.03308914974331856,
-0.004210292361676693,
0.0117661627009511,
-0.0021279994398355484,
0.00013828338705934584,
-0.08023687452077866,
0.01773308962583542,
-0.013643127866089344,
0.010508407838642597,
-0.003633700078353286,
-0.007643545046448708,
0.010338409803807735,
-0.015778299421072006,
-0.05040888115763664,
0.044947974383831024,
-0.0005278252065181732,
-0.031082477420568466,
0.03693488985300064,
0.07205526530742645,
0.07323814928531647,
0.08913813531398773,
0.035814035683870316,
0.04619108512997627,
0.07636597007513046,
-0.054911572486162186,
-0.039652612060308456,
-0.012902617454528809,
-0.05446347966790199,
-0.02057039551436901,
0.1203237995505333,
0.08842387795448303,
0.02286325953900814,
-0.04326845705509186,
-0.02937311865389347,
-0.009108508005738258,
-0.06763271987438202,
-0.016401227563619614,
-0.004475388675928116,
0.014568035490810871,
0.013528694398701191,
-0.008658855222165585,
-0.022032056003808975,
0.02471992000937462,
0.04332641884684563,
-0.04901517182588577,
0.018995849415659904,
0.0827111005783081,
-0.08410023152828217,
0.016826549544930458,
0.015363728627562523,
-0.006294169928878546,
-0.05243528634309769,
0.021034924313426018,
0.026359815150499344,
0.01773102954030037,
-0.027618730440735817,
0.03867072984576225,
-0.06900456547737122,
0.053715746849775314,
-0.08343975991010666,
0.06105239689350128,
0.046710383147001266,
-0.03903650492429733,
-0.02800675295293331,
-0.0480477474629879,
0.06816486269235611,
0.006592449266463518,
0.012162418104708195,
0.03986605256795883,
0.012566627934575081,
6.669996014743074e-34,
-0.02753252536058426,
-0.0012562021147459745,
-0.058267928659915924,
-0.060789916664361954,
-0.050464384257793427,
0.06527416408061981,
-0.0847359374165535,
0.11134670674800873,
-0.06266827136278152,
0.02860957384109497,
0.04351136088371277,
-0.05641808733344078,
-0.033011194318532944,
0.015826309099793434,
0.06951002031564713,
0.068614661693573,
0.08073894679546356,
0.031407471746206284,
0.02462375909090042,
0.0385916642844677,
0.05722285807132721,
-0.0629328042268753,
-0.0481700524687767,
0.04509725794196129,
0.002030644565820694,
0.12976644933223724,
-0.051833316683769226,
0.0042245350778102875,
-0.02234041504561901,
0.009687499143183231,
-0.00934117566794157,
0.006230736616998911,
0.02018890343606472,
-0.0069632092490792274,
0.01378810778260231,
-0.047793831676244736,
-0.013634772971272469,
0.05970695987343788,
-0.09008139371871948,
-0.002064306056126952,
0.059937164187431335,
0.029629066586494446,
-0.006017668172717094,
-0.017514914274215698,
0.09137826412916183,
-0.08892939984798431,
-0.02543594129383564,
-0.06384109705686569,
0.0020262973848730326,
0.10643512010574341,
0.011326728388667107,
0.009077223017811775,
-0.07559434324502945,
0.002810710109770298,
0.07058727741241455,
-0.029239054769277573,
0.021254612132906914,
0.016226451843976974,
-0.056180525571107864,
-0.003358566900715232,
-0.05582413077354431,
-0.04481545090675354,
0.14058609306812286,
-0.07368478924036026,
0.057259418070316315,
0.07107648998498917,
-0.04685205593705177,
-0.004011656157672405,
-0.032165899872779846,
0.039359696209430695,
-0.02555493637919426,
-0.0013324696337804198,
0.10857480764389038,
-0.008465709164738655,
-0.05031886696815491,
-0.016206542029976845,
-0.031050391495227814,
0.11133623123168945,
-0.03334423154592514,
0.0041671693325042725,
0.06959110498428345,
-0.036602068692445755,
0.05495475232601166,
0.017949948087334633,
-0.02155047282576561,
-0.010965078137814999,
-0.04308558255434036,
0.06882565468549728,
-0.05927696451544762,
-0.08296055346727371,
0.001310100662522018,
0.020222580060362816,
-0.03602738678455353,
-0.0029874444007873535,
-0.032847221940755844,
-2.5256348360821193e-33,
0.0980401411652565,
-0.032109491527080536,
0.05153123661875725,
0.01775282621383667,
0.042127516120672226,
0.05455291271209717,
0.033486198633909225,
0.03947759047150612,
-0.010750038549304008,
-0.008943232707679272,
-0.03470957279205322,
-0.08106689900159836,
-0.042893871665000916,
0.03280752897262573,
-0.02046036161482334,
-0.018230294808745384,
-0.02257498726248741,
-0.04075486212968826,
-0.004780307412147522,
0.03184761479496956,
0.1273626834154129,
0.04062291234731674,
0.042489953339099884,
0.042204804718494415,
0.029458049684762955,
-0.08131223171949387,
0.014126786030828953,
-0.039883531630039215,
-0.03777223825454712,
-0.00791151262819767,
-0.09464103728532791,
-0.004238320980221033,
0.08588950335979462,
0.06662527471780777,
0.06684497743844986,
-0.015679726377129555,
0.003896027337759733,
-0.017651986330747604,
0.02446269430220127,
0.03573334962129593,
0.015653396025300026,
0.11113599687814713,
0.016486531123518944,
-0.11261315643787384,
0.0234083142131567,
0.03469685837626457,
-0.0029983248095959425,
0.029238101094961166,
-0.06295502930879593,
-0.03729243576526642,
-0.05946565791964531,
-0.03332267701625824,
-0.011820505373179913,
0.000021513131287065335,
0.037266671657562256,
0.032734788954257965,
0.014935105107724667,
0.04308965429663658,
0.008063741028308868,
0.05590837821364403,
-0.006212696898728609,
-0.00020366569515317678,
0.02571806311607361,
0.005423087626695633,
0.009896372444927692,
0.06776292622089386,
0.0009384441073052585,
-0.04417305439710617,
-0.033687323331832886,
0.06777898967266083,
0.038445767015218735,
-0.0995674729347229,
0.038766250014305115,
0.05008412152528763,
0.052848730236291885,
0.07926416397094727,
0.004570904653519392,
-0.10030169785022736,
-0.027027040719985962,
0.044892095029354095,
-0.05100367218255997,
-0.0859803557395935,
0.0236772783100605,
0.1085786297917366,
-0.031218282878398895,
0.03178026154637337,
-0.07132118940353394,
-0.06063636764883995,
-0.040909986943006516,
-0.048817094415426254,
-0.008480866439640522,
0.07200435549020767,
0.0194452665746212,
-0.06096290051937103,
0.06801604479551315,
-4.314057733267873e-8,
0.027088649570941925,
-0.008193197660148144,
-0.09030781686306,
0.06637377291917801,
-0.002822285983711481,
0.017967939376831055,
-0.012754312716424465,
-0.04748547449707985,
-0.03555382415652275,
-0.06660635769367218,
-0.00024841606500558555,
-0.08351502567529678,
-0.05851602554321289,
0.03483960032463074,
-0.028754781931638718,
-0.03942518308758736,
0.013691018335521221,
-0.056910619139671326,
-0.024035925045609474,
0.011723811738193035,
-0.02806096524000168,
0.00794091448187828,
0.11399821192026138,
-0.12002023309469223,
-0.018989158794283867,
-0.020837849006056786,
0.0210532546043396,
0.054893262684345245,
-0.0292696300894022,
0.011011005379259586,
-0.033190689980983734,
-0.08489803224802017,
-0.043489862233400345,
0.04138863459229469,
-0.08732373267412186,
-0.023650499060750008,
-0.018105894327163696,
0.026110783219337463,
0.08350571990013123,
0.06350697576999664,
0.06864229589700699,
0.09343046694993973,
-0.11508189141750336,
-0.012242925353348255,
0.04691510275006294,
0.14214059710502625,
0.08780311793088913,
-0.07829804718494415,
-0.05283024534583092,
0.10862378031015396,
-0.021375175565481186,
0.09609155356884003,
-0.04351778328418732,
-0.07386169582605362,
-0.0196230448782444,
0.0969945564866066,
0.034041259437799454,
-0.02145068161189556,
0.0184815414249897,
-0.003091589082032442,
-0.028359131887555122,
0.017368564382195473,
-0.07285002619028091,
-0.03416745737195015
] |
1401.0304 | Shahar Mendelson | Shahar Mendelson | Learning without Concentration | null | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain sharp bounds on the performance of Empirical Risk Minimization
performed in a convex class and with respect to the squared loss, without
assuming that class members and the target are bounded functions or have
rapidly decaying tails.
Rather than resorting to a concentration-based argument, the method used here
relies on a `small-ball' assumption and thus holds for classes consisting of
heavy-tailed functions and for heavy-tailed targets.
The resulting estimates scale correctly with the `noise level' of the
problem, and when applied to the classical, bounded scenario, always improve
the known bounds.
| [
{
"created": "Wed, 1 Jan 2014 16:28:19 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2014 17:59:50 GMT",
"version": "v2"
}
] | 2014-10-23 | [
[
"Mendelson",
"Shahar",
""
]
] | [
0.010815334506332874,
0.013108198530972004,
0.03713249787688255,
-0.050386328250169754,
0.1440725177526474,
0.02986706979572773,
0.07108550518751144,
0.015379860997200012,
0.0014918649103492498,
0.046397801488637924,
-0.05397621914744377,
0.029243336990475655,
0.08491028100252151,
-0.08897889405488968,
-0.028897471725940704,
-0.028234831988811493,
0.06578361988067627,
-0.0005492904456332326,
-0.06399282068014145,
0.10726228356361389,
0.0015246181283146143,
0.029849955812096596,
0.021514223888516426,
-0.0006064053159207106,
-0.017519241198897362,
-0.09725291281938553,
0.0482020229101181,
-0.03518456220626831,
-0.030141104012727737,
-0.04667040705680847,
-0.011788972653448582,
-0.054754238575696945,
0.031655389815568924,
-0.03486957028508186,
-0.04467947408556938,
0.03551396355032921,
-0.008570331148803234,
-0.0015722363023087382,
0.05989444628357887,
0.07869436591863632,
-0.03565846383571625,
0.03914439305663109,
-0.04811407998204231,
0.016313273459672928,
-0.013548241928219795,
-0.042321037501096725,
0.0758010745048523,
-0.09851602464914322,
0.04868246242403984,
-0.03560933470726013,
0.03737369924783707,
0.032055098563432693,
-0.03399716317653656,
0.010610039345920086,
-0.07730801403522491,
-0.007723572198301554,
0.0670367032289505,
-0.04362885281443596,
-0.03932769224047661,
0.12745371460914612,
0.007915433496236801,
-0.08714950829744339,
0.028845753520727158,
0.005163524765521288,
-0.0414339154958725,
-0.08087199181318283,
0.09372782707214355,
0.002527488162741065,
-0.03148115798830986,
0.10033100843429565,
-0.010015933774411678,
-0.0014515566872432828,
-0.16415080428123474,
0.07796373218297958,
0.08336462080478668,
0.0017723109340295196,
0.031784407794475555,
0.005676925182342529,
-0.023283306509256363,
-0.05457576736807823,
-0.010897122323513031,
-0.011312884278595448,
0.00516452407464385,
-0.059394121170043945,
0.06405992805957794,
0.004217016510665417,
-0.023476725444197655,
-0.00905859936028719,
0.06881667673587799,
-0.034245751798152924,
-0.047898922115564346,
0.03701304271817207,
-0.027445420622825623,
0.09310212731361389,
-0.002444916171953082,
-0.06703595072031021,
0.025911210104823112,
-0.03236519545316696,
0.020521247759461403,
0.09238024055957794,
-0.11237581819295883,
-0.00578068383038044,
0.019443143159151077,
-0.06649289280176163,
0.05459914356470108,
-0.08037776499986649,
-0.0023000987712293863,
-0.0512627549469471,
0.02529081702232361,
-0.06837102025747299,
0.09069345146417618,
-0.0028529625851660967,
0.0075264968909323215,
0.046490397304296494,
-0.011057140305638313,
-0.036324642598629,
0.016023918986320496,
0.016229990869760513,
-0.06076839566230774,
0.0013851982075721025,
-0.03743845969438553,
-0.014658207073807716,
0.042977362871170044,
0.01805303245782852,
-0.044144414365291595,
0.09446357190608978,
-0.058877043426036835,
-1.8717278022956055e-35,
0.031099967658519745,
-0.021804792806506157,
-0.051383405923843384,
-0.0769832506775856,
0.03249587491154671,
0.040942076593637466,
0.06117364391684532,
-0.04799152910709381,
0.006585600320249796,
-0.000308205490000546,
0.023823805153369904,
-0.061138637363910675,
-0.03799901530146599,
0.010277959518134594,
0.12635137140750885,
-0.006188313476741314,
-0.038581252098083496,
0.08967875689268112,
0.013714730739593506,
-0.11504315584897995,
-0.031668130308389664,
-0.10126779228448868,
0.011987867765128613,
-0.07717087864875793,
0.012833935208618641,
-0.02244710549712181,
-0.002742922632023692,
-0.06940837949514389,
0.03495096415281296,
0.05173235759139061,
-0.07745585590600967,
0.052980322390794754,
0.08946786820888519,
-0.07874666154384613,
0.05743178352713585,
0.0029548637103289366,
-0.04563857987523079,
0.0615164078772068,
-0.03192359581589699,
-0.042090319097042084,
-0.018303660675883293,
0.04787426441907883,
0.04957035928964615,
-0.030801892280578613,
-0.09100127965211868,
-0.08168169856071472,
0.044319674372673035,
0.03945774585008621,
-0.03292784094810486,
-0.12395969778299332,
-0.012681336142122746,
-0.08606944978237152,
-0.008372679352760315,
0.04105040803551674,
0.025394365191459656,
0.004942066967487335,
-0.01940026879310608,
-0.006722904741764069,
-0.0359567366540432,
0.012970026582479477,
0.0005726407980546355,
0.011430789716541767,
0.024431537836790085,
0.06486090272665024,
0.014722303487360477,
0.03663758933544159,
-0.02829030156135559,
-0.04097418487071991,
0.01800207607448101,
-0.06288394331932068,
0.06043503060936928,
0.015634765848517418,
-0.020222743973135948,
-0.07112257182598114,
0.046023380011320114,
0.006344146095216274,
0.05110672488808632,
0.016477109864354134,
0.014802489429712296,
-0.004049528390169144,
0.007875217124819756,
-0.03788354620337486,
-0.012689871713519096,
-0.09759540855884552,
-0.05622386932373047,
-0.030807768926024437,
0.04215550050139427,
-0.027591072022914886,
-0.08070696890354156,
0.0613422691822052,
-0.0742524042725563,
-0.024764804169535637,
-0.059289369732141495,
0.043049827218055725,
-0.003325577126815915,
-1.2791763504781711e-33,
-0.07709753513336182,
0.07491394877433777,
-0.027995051816105843,
0.021461719647049904,
-0.015311799943447113,
-0.021555623039603233,
-0.03287495672702789,
-0.03447689488530159,
-0.07541164010763168,
0.019238803535699844,
-0.04485796019434929,
0.018400689586997032,
-0.04070668667554855,
0.00808758195489645,
-0.049552079290151596,
0.006996397394686937,
0.059723664075136185,
0.05937201529741287,
-0.027796100825071335,
-0.07651680707931519,
0.059970173984766006,
-0.08283848315477371,
0.035674937069416046,
0.08498859405517578,
0.0739114060997963,
-0.04487750679254532,
-0.06310699135065079,
0.11582309752702713,
-0.010394019074738026,
-0.055694445967674255,
-0.11107467859983444,
0.017703700810670853,
-0.03928034380078316,
-0.01291721686720848,
-0.03605417534708977,
-0.006546765100210905,
0.05586773157119751,
0.029267609119415283,
-0.006343064364045858,
0.08345213532447815,
0.08081086724996567,
0.022923417389392853,
-0.059669725596904755,
-0.03706854209303856,
0.04971276596188545,
-0.03141316398978233,
0.10042194277048111,
0.03659829497337341,
0.05916217342019081,
0.023270931094884872,
0.038761500269174576,
0.0020713319536298513,
-0.013936213217675686,
0.12559793889522552,
-0.038648732006549835,
-0.016551872715353966,
0.0048104519955813885,
-0.03128356859087944,
-0.004943935200572014,
0.03404703363776207,
-0.08994605392217636,
0.08593124151229858,
-0.06036439910531044,
0.11864903569221497,
-0.02875896543264389,
-0.0011251645628362894,
-0.049767278134822845,
0.023365652188658714,
0.06816766411066055,
0.052463237196207047,
0.032898832112550735,
0.021002884954214096,
0.03874065354466438,
-0.003650614293292165,
-0.048736173659563065,
0.04447740688920021,
0.04059269279241562,
0.0009040326694957912,
-0.019493700936436653,
0.040883127599954605,
0.0744374692440033,
0.05032137408852577,
0.019719766452908516,
0.010254863649606705,
0.07802234590053558,
0.026568420231342316,
0.03410211205482483,
-0.010006924159824848,
-0.031636785715818405,
0.018504472449421883,
-0.05346943065524101,
0.043579984456300735,
0.04842924699187279,
-0.05986275151371956,
-0.06858281046152115,
-4.59417286435837e-8,
0.038622867316007614,
0.017260733991861343,
0.07590692490339279,
-0.03551667183637619,
0.11400440335273743,
0.026321619749069214,
-0.06729103624820709,
0.025878803804516792,
-0.05450144782662392,
0.013712677173316479,
-0.0064108711667358875,
0.049353037029504776,
0.028301168233156204,
0.00033520665601827204,
-0.06322775036096573,
0.019143851473927498,
-0.0886417105793953,
0.06636837124824524,
0.019986944273114204,
0.019389841705560684,
0.007401827722787857,
-0.009195913560688496,
0.03831198439002037,
0.007377822883427143,
0.002523214090615511,
-0.04925304278731346,
0.06603208184242249,
-0.0036579719744622707,
0.03682825714349747,
0.0341971330344677,
-0.09867013245820999,
0.06024481728672981,
-0.04200653359293938,
0.024827875196933746,
0.043871112167835236,
0.011642140336334705,
-0.05366264283657074,
0.02203226275742054,
-0.05466988682746887,
0.044616129249334335,
0.008437433280050755,
0.02395564690232277,
0.022357530891895294,
-0.055499810725450516,
0.05696192756295204,
0.034444037824869156,
-0.042195387184619904,
0.0023157047107815742,
0.09547634422779083,
-0.043543994426727295,
0.03014332614839077,
0.009598053991794586,
0.03606392815709114,
0.055898793041706085,
0.0011362950317561626,
0.0007231647032313049,
-0.012461003847420216,
-0.08779589086771011,
-0.04538669437170029,
-0.05445128679275513,
-0.0012021781876683235,
0.03516697511076927,
-0.024236105382442474,
0.059097934514284134
] | null | null | null | null | null | null | null | [
0.010815334506332874,
0.013108198530972004,
0.03713249787688255,
-0.050386328250169754,
0.1440725177526474,
0.02986706979572773,
0.07108550518751144,
0.015379860997200012,
0.0014918649103492498,
0.046397801488637924,
-0.05397621914744377,
0.029243336990475655,
0.08491028100252151,
-0.08897889405488968,
-0.028897471725940704,
-0.028234831988811493,
0.06578361988067627,
-0.0005492904456332326,
-0.06399282068014145,
0.10726228356361389,
0.0015246181283146143,
0.029849955812096596,
0.021514223888516426,
-0.0006064053159207106,
-0.017519241198897362,
-0.09725291281938553,
0.0482020229101181,
-0.03518456220626831,
-0.030141104012727737,
-0.04667040705680847,
-0.011788972653448582,
-0.054754238575696945,
0.031655389815568924,
-0.03486957028508186,
-0.04467947408556938,
0.03551396355032921,
-0.008570331148803234,
-0.0015722363023087382,
0.05989444628357887,
0.07869436591863632,
-0.03565846383571625,
0.03914439305663109,
-0.04811407998204231,
0.016313273459672928,
-0.013548241928219795,
-0.042321037501096725,
0.0758010745048523,
-0.09851602464914322,
0.04868246242403984,
-0.03560933470726013,
0.03737369924783707,
0.032055098563432693,
-0.03399716317653656,
0.010610039345920086,
-0.07730801403522491,
-0.007723572198301554,
0.0670367032289505,
-0.04362885281443596,
-0.03932769224047661,
0.12745371460914612,
0.007915433496236801,
-0.08714950829744339,
0.028845753520727158,
0.005163524765521288,
-0.0414339154958725,
-0.08087199181318283,
0.09372782707214355,
0.002527488162741065,
-0.03148115798830986,
0.10033100843429565,
-0.010015933774411678,
-0.0014515566872432828,
-0.16415080428123474,
0.07796373218297958,
0.08336462080478668,
0.0017723109340295196,
0.031784407794475555,
0.005676925182342529,
-0.023283306509256363,
-0.05457576736807823,
-0.010897122323513031,
-0.011312884278595448,
0.00516452407464385,
-0.059394121170043945,
0.06405992805957794,
0.004217016510665417,
-0.023476725444197655,
-0.00905859936028719,
0.06881667673587799,
-0.034245751798152924,
-0.047898922115564346,
0.03701304271817207,
-0.027445420622825623,
0.09310212731361389,
-0.002444916171953082,
-0.06703595072031021,
0.025911210104823112,
-0.03236519545316696,
0.020521247759461403,
0.09238024055957794,
-0.11237581819295883,
-0.00578068383038044,
0.019443143159151077,
-0.06649289280176163,
0.05459914356470108,
-0.08037776499986649,
-0.0023000987712293863,
-0.0512627549469471,
0.02529081702232361,
-0.06837102025747299,
0.09069345146417618,
-0.0028529625851660967,
0.0075264968909323215,
0.046490397304296494,
-0.011057140305638313,
-0.036324642598629,
0.016023918986320496,
0.016229990869760513,
-0.06076839566230774,
0.0013851982075721025,
-0.03743845969438553,
-0.014658207073807716,
0.042977362871170044,
0.01805303245782852,
-0.044144414365291595,
0.09446357190608978,
-0.058877043426036835,
-1.8717278022956055e-35,
0.031099967658519745,
-0.021804792806506157,
-0.051383405923843384,
-0.0769832506775856,
0.03249587491154671,
0.040942076593637466,
0.06117364391684532,
-0.04799152910709381,
0.006585600320249796,
-0.000308205490000546,
0.023823805153369904,
-0.061138637363910675,
-0.03799901530146599,
0.010277959518134594,
0.12635137140750885,
-0.006188313476741314,
-0.038581252098083496,
0.08967875689268112,
0.013714730739593506,
-0.11504315584897995,
-0.031668130308389664,
-0.10126779228448868,
0.011987867765128613,
-0.07717087864875793,
0.012833935208618641,
-0.02244710549712181,
-0.002742922632023692,
-0.06940837949514389,
0.03495096415281296,
0.05173235759139061,
-0.07745585590600967,
0.052980322390794754,
0.08946786820888519,
-0.07874666154384613,
0.05743178352713585,
0.0029548637103289366,
-0.04563857987523079,
0.0615164078772068,
-0.03192359581589699,
-0.042090319097042084,
-0.018303660675883293,
0.04787426441907883,
0.04957035928964615,
-0.030801892280578613,
-0.09100127965211868,
-0.08168169856071472,
0.044319674372673035,
0.03945774585008621,
-0.03292784094810486,
-0.12395969778299332,
-0.012681336142122746,
-0.08606944978237152,
-0.008372679352760315,
0.04105040803551674,
0.025394365191459656,
0.004942066967487335,
-0.01940026879310608,
-0.006722904741764069,
-0.0359567366540432,
0.012970026582479477,
0.0005726407980546355,
0.011430789716541767,
0.024431537836790085,
0.06486090272665024,
0.014722303487360477,
0.03663758933544159,
-0.02829030156135559,
-0.04097418487071991,
0.01800207607448101,
-0.06288394331932068,
0.06043503060936928,
0.015634765848517418,
-0.020222743973135948,
-0.07112257182598114,
0.046023380011320114,
0.006344146095216274,
0.05110672488808632,
0.016477109864354134,
0.014802489429712296,
-0.004049528390169144,
0.007875217124819756,
-0.03788354620337486,
-0.012689871713519096,
-0.09759540855884552,
-0.05622386932373047,
-0.030807768926024437,
0.04215550050139427,
-0.027591072022914886,
-0.08070696890354156,
0.0613422691822052,
-0.0742524042725563,
-0.024764804169535637,
-0.059289369732141495,
0.043049827218055725,
-0.003325577126815915,
-1.2791763504781711e-33,
-0.07709753513336182,
0.07491394877433777,
-0.027995051816105843,
0.021461719647049904,
-0.015311799943447113,
-0.021555623039603233,
-0.03287495672702789,
-0.03447689488530159,
-0.07541164010763168,
0.019238803535699844,
-0.04485796019434929,
0.018400689586997032,
-0.04070668667554855,
0.00808758195489645,
-0.049552079290151596,
0.006996397394686937,
0.059723664075136185,
0.05937201529741287,
-0.027796100825071335,
-0.07651680707931519,
0.059970173984766006,
-0.08283848315477371,
0.035674937069416046,
0.08498859405517578,
0.0739114060997963,
-0.04487750679254532,
-0.06310699135065079,
0.11582309752702713,
-0.010394019074738026,
-0.055694445967674255,
-0.11107467859983444,
0.017703700810670853,
-0.03928034380078316,
-0.01291721686720848,
-0.03605417534708977,
-0.006546765100210905,
0.05586773157119751,
0.029267609119415283,
-0.006343064364045858,
0.08345213532447815,
0.08081086724996567,
0.022923417389392853,
-0.059669725596904755,
-0.03706854209303856,
0.04971276596188545,
-0.03141316398978233,
0.10042194277048111,
0.03659829497337341,
0.05916217342019081,
0.023270931094884872,
0.038761500269174576,
0.0020713319536298513,
-0.013936213217675686,
0.12559793889522552,
-0.038648732006549835,
-0.016551872715353966,
0.0048104519955813885,
-0.03128356859087944,
-0.004943935200572014,
0.03404703363776207,
-0.08994605392217636,
0.08593124151229858,
-0.06036439910531044,
0.11864903569221497,
-0.02875896543264389,
-0.0011251645628362894,
-0.049767278134822845,
0.023365652188658714,
0.06816766411066055,
0.052463237196207047,
0.032898832112550735,
0.021002884954214096,
0.03874065354466438,
-0.003650614293292165,
-0.048736173659563065,
0.04447740688920021,
0.04059269279241562,
0.0009040326694957912,
-0.019493700936436653,
0.040883127599954605,
0.0744374692440033,
0.05032137408852577,
0.019719766452908516,
0.010254863649606705,
0.07802234590053558,
0.026568420231342316,
0.03410211205482483,
-0.010006924159824848,
-0.031636785715818405,
0.018504472449421883,
-0.05346943065524101,
0.043579984456300735,
0.04842924699187279,
-0.05986275151371956,
-0.06858281046152115,
-4.59417286435837e-8,
0.038622867316007614,
0.017260733991861343,
0.07590692490339279,
-0.03551667183637619,
0.11400440335273743,
0.026321619749069214,
-0.06729103624820709,
0.025878803804516792,
-0.05450144782662392,
0.013712677173316479,
-0.0064108711667358875,
0.049353037029504776,
0.028301168233156204,
0.00033520665601827204,
-0.06322775036096573,
0.019143851473927498,
-0.0886417105793953,
0.06636837124824524,
0.019986944273114204,
0.019389841705560684,
0.007401827722787857,
-0.009195913560688496,
0.03831198439002037,
0.007377822883427143,
0.002523214090615511,
-0.04925304278731346,
0.06603208184242249,
-0.0036579719744622707,
0.03682825714349747,
0.0341971330344677,
-0.09867013245820999,
0.06024481728672981,
-0.04200653359293938,
0.024827875196933746,
0.043871112167835236,
0.011642140336334705,
-0.05366264283657074,
0.02203226275742054,
-0.05466988682746887,
0.044616129249334335,
0.008437433280050755,
0.02395564690232277,
0.022357530891895294,
-0.055499810725450516,
0.05696192756295204,
0.034444037824869156,
-0.042195387184619904,
0.0023157047107815742,
0.09547634422779083,
-0.043543994426727295,
0.03014332614839077,
0.009598053991794586,
0.03606392815709114,
0.055898793041706085,
0.0011362950317561626,
0.0007231647032313049,
-0.012461003847420216,
-0.08779589086771011,
-0.04538669437170029,
-0.05445128679275513,
-0.0012021781876683235,
0.03516697511076927,
-0.024236105382442474,
0.059097934514284134
] |
1401.0323 | Tian Wang | Tian Wang, Hamid Krim, Yannis Viniotis | Analysis and Control of Beliefs in Social Networks | null | null | 10.1109/TSP.2014.2352591 | null | cs.SI physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the problem of how beliefs diffuse among
members of social networks. We propose an information flow model (IFM) of
belief that captures how interactions among members affect the diffusion and
eventual convergence of a belief. The IFM model includes a generalized Markov
Graph (GMG) model as a social network model, which reveals that the diffusion
of beliefs depends heavily on two characteristics of the social network
characteristics, namely degree centralities and clustering coefficients. We
apply the IFM to both converged belief estimation and belief control strategy
optimization. The model is compared with an IFM including the Barabasi-Albert
model, and is evaluated via experiments with published real social network
data.
| [
{
"created": "Wed, 1 Jan 2014 19:22:14 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 01:48:10 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Wang",
"Tian",
""
],
[
"Krim",
"Hamid",
""
],
[
"Viniotis",
"Yannis",
""
]
] | [
0.0189856868237257,
-0.0846911370754242,
0.011443215422332287,
0.019065767526626587,
0.040117297321558,
-0.062190357595682144,
0.03869859129190445,
-0.014513896778225899,
0.10238299518823624,
0.014175976626574993,
-0.015099921263754368,
0.028537124395370483,
0.07566111534833908,
0.03960481658577919,
-0.02946316823363304,
0.005459532607346773,
0.010320212692022324,
-0.00945551972836256,
-0.025376755744218826,
-0.10107611864805222,
-0.11415734887123108,
-0.03340795263648033,
-0.06571432948112488,
0.009633916430175304,
0.04613955318927765,
0.02920263446867466,
0.04771611467003822,
-0.07906647771596909,
0.003420985769480467,
0.013685413636267185,
0.05283353850245476,
0.0005537536344490945,
0.03334445133805275,
-0.021759221330285072,
-0.07125964015722275,
0.01868472807109356,
-0.024260321632027626,
0.049627065658569336,
-0.006887026131153107,
0.06378938257694244,
0.03278501331806183,
0.000942609622143209,
0.03402576595544815,
0.04161415249109268,
-0.02040286548435688,
0.09302899241447449,
-0.048961807042360306,
0.044555582106113434,
-0.11425014585256577,
0.04831881448626518,
-0.07633333653211594,
0.008752774447202682,
0.0054482873529195786,
0.03215310350060463,
-0.009275408461689949,
-0.08079414069652557,
-0.013543536886572838,
-0.008109638467431068,
0.021928390488028526,
0.011942802928388119,
0.0470806248486042,
-0.10792812705039978,
-0.03648051619529724,
0.031362976878881454,
0.019590837880969048,
0.05375131964683533,
-0.016272393986582756,
0.08839556574821472,
-0.016488660126924515,
0.0007535743061453104,
0.10066746920347214,
0.06794877350330353,
-0.14444983005523682,
0.0008225511992350221,
0.010670519433915615,
-0.11601091176271439,
0.025970622897148132,
-0.08312834054231644,
-0.032273728400468826,
0.03521587699651718,
0.010569296777248383,
0.07766957581043243,
0.019252870231866837,
-0.05687153711915016,
0.016957806423306465,
-0.036234695464372635,
-0.009603923186659813,
-0.011333880946040154,
-0.011723463423550129,
0.03209659457206726,
-0.06300114840269089,
0.07936589419841766,
-0.0759439542889595,
-0.007000561337918043,
0.03071281686425209,
0.0695323795080185,
-0.07039704918861389,
-0.09165958315134048,
-0.036008983850479126,
0.07698876410722733,
-0.08695019036531448,
0.010181920602917671,
-0.028073670342564583,
-0.06579973548650742,
0.09509918838739395,
-0.001239168574102223,
-0.049343615770339966,
0.026698781177401543,
0.05800150707364082,
0.016448726877570152,
-0.06451692432165146,
0.014932800084352493,
-0.022768424823880196,
-0.022050466388463974,
-0.026183556765317917,
-0.07940132170915604,
0.08601448684930801,
0.05759604275226593,
-0.03316375985741615,
0.03747018426656723,
0.02439229004085064,
0.04615283012390137,
0.09991876035928726,
-0.04070153087377548,
0.0686366930603981,
0.014250185340642929,
-0.054839689284563065,
-7.295064676615345e-34,
-0.06791990995407104,
-0.06594038754701614,
0.020703187212347984,
-0.02079947106540203,
0.006364311557263136,
0.0314674898982048,
-0.07930412888526917,
-0.06045689061284065,
0.0116417920216918,
-0.1222076565027237,
-0.04287148267030716,
0.08902053534984589,
-0.019821560010313988,
0.008850130252540112,
0.07074813544750214,
-0.052535153925418854,
-0.004438110161572695,
0.04790031909942627,
0.011022188700735569,
-0.09371896833181381,
0.026549285277724266,
-0.03702014312148094,
-0.03335346281528473,
0.02908146381378174,
0.011492876335978508,
-0.0011935170041397214,
0.04873208329081535,
0.06927294284105301,
0.04150669276714325,
0.0006120472680777311,
-0.037724725902080536,
0.017044415697455406,
-0.06867260485887527,
-0.030310599133372307,
0.01766776293516159,
0.05323074758052826,
-0.017591871321201324,
-0.067408986389637,
0.0733461081981659,
-0.08898336440324783,
-0.009228476323187351,
0.04447226598858833,
0.019938983023166656,
-0.01355725433677435,
-0.07292231917381287,
0.011306604370474815,
-0.028316820040345192,
-0.09489463269710541,
-0.008098079822957516,
-0.03165539726614952,
0.06796310096979141,
-0.0455925278365612,
0.038390081375837326,
0.026291951537132263,
-0.036983832716941833,
-0.024107826873660088,
-0.02112659066915512,
0.11319077014923096,
0.025327270850539207,
-0.0008963698637671769,
0.02279389463365078,
-0.01860583759844303,
0.04393000900745392,
-0.02834983542561531,
0.07653909176588058,
0.052663832902908325,
-0.1249067410826683,
0.014266145415604115,
0.04311670735478401,
-0.05633142963051796,
0.05174730718135834,
0.07271140813827515,
-0.05689357966184616,
-0.08337022364139557,
-0.06989136338233948,
-0.0035598324611783028,
-0.06691055744886398,
0.05035485699772835,
-0.021366503089666367,
0.0526423342525959,
-0.05067620798945427,
-0.09209132939577103,
-0.056344494223594666,
-0.0020150355994701385,
0.009785884991288185,
0.01894967257976532,
0.0950223058462143,
-0.011220496147871017,
-0.06422869116067886,
0.012645837850868702,
0.03534691035747528,
0.026093143969774246,
0.06009494513273239,
0.07574332505464554,
0.07603828608989716,
-1.0203907181316676e-33,
-0.06739100813865662,
0.05052848532795906,
0.11373656243085861,
0.04247920587658882,
0.04435276985168457,
-0.055596355348825455,
0.0034731877967715263,
0.047203902155160904,
0.021409478038549423,
-0.0010506917024031281,
-0.007791814394295216,
-0.015557820908725262,
0.0068259998224675655,
-0.012391101568937302,
0.0067900014109909534,
-0.03387455642223358,
0.07855773717164993,
0.01792404241859913,
0.03814875707030296,
-0.02284761518239975,
-0.0221861619502306,
-0.01416897214949131,
-0.0924147218465805,
0.008034035563468933,
0.1103755310177803,
-0.014766990207135677,
0.026978569105267525,
0.028257019817829132,
0.0007516592741012573,
0.022191986441612244,
-0.06770087033510208,
-0.011501642875373363,
-0.06839431077241898,
0.01318930834531784,
-0.030078992247581482,
0.05293252319097519,
-0.057147316634655,
0.022239474579691887,
0.008216610178351402,
-0.033505622297525406,
0.00318990764208138,
-0.029622413218021393,
-0.10813416540622711,
-0.0021770682651549578,
-0.014001917093992233,
0.03948978707194328,
0.021434739232063293,
0.028620600700378418,
-0.004724495112895966,
-0.001312861917540431,
-0.010353637859225273,
0.08560807257890701,
0.0322214774787426,
0.04992472752928734,
-0.06008979305624962,
0.0017124413279816508,
-0.03496965765953064,
0.05166589468717575,
-0.036099277436733246,
-0.006333261728286743,
-0.029126212000846863,
0.029876599088311195,
0.023950649425387383,
0.009266297332942486,
-0.01515933871269226,
-0.022184284403920174,
-0.0059828078374266624,
0.03223937749862671,
0.015103669837117195,
0.05621328949928284,
0.038017310202121735,
0.08197405189275742,
-0.06847185641527176,
0.02477930672466755,
0.09598192572593689,
-0.000347985012922436,
0.030551563948392868,
0.0171190295368433,
0.005274608731269836,
0.056887559592723846,
-0.05666540935635567,
0.09867474436759949,
0.0743008404970169,
-0.026057131588459015,
0.08636508882045746,
-0.056098584085702896,
-0.007993973791599274,
-0.003878782968968153,
0.03620709478855133,
0.05543474107980728,
0.012749274261295795,
-0.0704476609826088,
0.03604245185852051,
-0.040681950747966766,
-0.15167920291423798,
-4.115982932262341e-8,
-0.10513077676296234,
-0.13669459521770477,
0.08988149464130402,
-0.01655644178390503,
0.11043372750282288,
0.08682763576507568,
0.02854250930249691,
-0.012900938279926777,
-0.053757790476083755,
0.04452281445264816,
0.07669001817703247,
0.06292261183261871,
-0.022956814616918564,
-0.011073471046984196,
0.002048107562586665,
-0.029726890847086906,
-0.03605415299534798,
-0.07335460186004639,
0.03782518953084946,
-0.024036047980189323,
0.010463864542543888,
-0.051448628306388855,
-0.05403641238808632,
0.0823412835597992,
0.047486480325460434,
-0.032377682626247406,
-0.07639855146408081,
0.043856073170900345,
-0.005410348065197468,
0.020661726593971252,
-0.017783083021640778,
-0.03562911972403526,
0.013581898994743824,
0.04729684814810753,
0.04109584540128708,
0.08876310288906097,
-0.024507300928235054,
0.0023751368280500174,
-0.010777056217193604,
-0.017859317362308502,
0.06418649852275848,
0.04546060785651207,
0.02581435814499855,
-0.015120120719075203,
-0.04399985447525978,
0.0665716826915741,
0.019899800419807434,
-0.05447070673108101,
-0.029348894953727722,
-0.03520393744111061,
0.01867915876209736,
0.02060820162296295,
-0.07249020785093307,
0.03534281253814697,
0.04944697394967079,
-0.03618161007761955,
-0.004775211215019226,
0.038926903158426285,
0.0006858283304609358,
-0.05415597930550575,
0.007103916257619858,
0.029000410810112953,
-0.059688981622457504,
-0.018290476873517036
] | null | null | null | null | null | null | null | [
0.0189856868237257,
-0.0846911370754242,
0.011443215422332287,
0.019065767526626587,
0.040117297321558,
-0.062190357595682144,
0.03869859129190445,
-0.014513896778225899,
0.10238299518823624,
0.014175976626574993,
-0.015099921263754368,
0.028537124395370483,
0.07566111534833908,
0.03960481658577919,
-0.02946316823363304,
0.005459532607346773,
0.010320212692022324,
-0.00945551972836256,
-0.025376755744218826,
-0.10107611864805222,
-0.11415734887123108,
-0.03340795263648033,
-0.06571432948112488,
0.009633916430175304,
0.04613955318927765,
0.02920263446867466,
0.04771611467003822,
-0.07906647771596909,
0.003420985769480467,
0.013685413636267185,
0.05283353850245476,
0.0005537536344490945,
0.03334445133805275,
-0.021759221330285072,
-0.07125964015722275,
0.01868472807109356,
-0.024260321632027626,
0.049627065658569336,
-0.006887026131153107,
0.06378938257694244,
0.03278501331806183,
0.000942609622143209,
0.03402576595544815,
0.04161415249109268,
-0.02040286548435688,
0.09302899241447449,
-0.048961807042360306,
0.044555582106113434,
-0.11425014585256577,
0.04831881448626518,
-0.07633333653211594,
0.008752774447202682,
0.0054482873529195786,
0.03215310350060463,
-0.009275408461689949,
-0.08079414069652557,
-0.013543536886572838,
-0.008109638467431068,
0.021928390488028526,
0.011942802928388119,
0.0470806248486042,
-0.10792812705039978,
-0.03648051619529724,
0.031362976878881454,
0.019590837880969048,
0.05375131964683533,
-0.016272393986582756,
0.08839556574821472,
-0.016488660126924515,
0.0007535743061453104,
0.10066746920347214,
0.06794877350330353,
-0.14444983005523682,
0.0008225511992350221,
0.010670519433915615,
-0.11601091176271439,
0.025970622897148132,
-0.08312834054231644,
-0.032273728400468826,
0.03521587699651718,
0.010569296777248383,
0.07766957581043243,
0.019252870231866837,
-0.05687153711915016,
0.016957806423306465,
-0.036234695464372635,
-0.009603923186659813,
-0.011333880946040154,
-0.011723463423550129,
0.03209659457206726,
-0.06300114840269089,
0.07936589419841766,
-0.0759439542889595,
-0.007000561337918043,
0.03071281686425209,
0.0695323795080185,
-0.07039704918861389,
-0.09165958315134048,
-0.036008983850479126,
0.07698876410722733,
-0.08695019036531448,
0.010181920602917671,
-0.028073670342564583,
-0.06579973548650742,
0.09509918838739395,
-0.001239168574102223,
-0.049343615770339966,
0.026698781177401543,
0.05800150707364082,
0.016448726877570152,
-0.06451692432165146,
0.014932800084352493,
-0.022768424823880196,
-0.022050466388463974,
-0.026183556765317917,
-0.07940132170915604,
0.08601448684930801,
0.05759604275226593,
-0.03316375985741615,
0.03747018426656723,
0.02439229004085064,
0.04615283012390137,
0.09991876035928726,
-0.04070153087377548,
0.0686366930603981,
0.014250185340642929,
-0.054839689284563065,
-7.295064676615345e-34,
-0.06791990995407104,
-0.06594038754701614,
0.020703187212347984,
-0.02079947106540203,
0.006364311557263136,
0.0314674898982048,
-0.07930412888526917,
-0.06045689061284065,
0.0116417920216918,
-0.1222076565027237,
-0.04287148267030716,
0.08902053534984589,
-0.019821560010313988,
0.008850130252540112,
0.07074813544750214,
-0.052535153925418854,
-0.004438110161572695,
0.04790031909942627,
0.011022188700735569,
-0.09371896833181381,
0.026549285277724266,
-0.03702014312148094,
-0.03335346281528473,
0.02908146381378174,
0.011492876335978508,
-0.0011935170041397214,
0.04873208329081535,
0.06927294284105301,
0.04150669276714325,
0.0006120472680777311,
-0.037724725902080536,
0.017044415697455406,
-0.06867260485887527,
-0.030310599133372307,
0.01766776293516159,
0.05323074758052826,
-0.017591871321201324,
-0.067408986389637,
0.0733461081981659,
-0.08898336440324783,
-0.009228476323187351,
0.04447226598858833,
0.019938983023166656,
-0.01355725433677435,
-0.07292231917381287,
0.011306604370474815,
-0.028316820040345192,
-0.09489463269710541,
-0.008098079822957516,
-0.03165539726614952,
0.06796310096979141,
-0.0455925278365612,
0.038390081375837326,
0.026291951537132263,
-0.036983832716941833,
-0.024107826873660088,
-0.02112659066915512,
0.11319077014923096,
0.025327270850539207,
-0.0008963698637671769,
0.02279389463365078,
-0.01860583759844303,
0.04393000900745392,
-0.02834983542561531,
0.07653909176588058,
0.052663832902908325,
-0.1249067410826683,
0.014266145415604115,
0.04311670735478401,
-0.05633142963051796,
0.05174730718135834,
0.07271140813827515,
-0.05689357966184616,
-0.08337022364139557,
-0.06989136338233948,
-0.0035598324611783028,
-0.06691055744886398,
0.05035485699772835,
-0.021366503089666367,
0.0526423342525959,
-0.05067620798945427,
-0.09209132939577103,
-0.056344494223594666,
-0.0020150355994701385,
0.009785884991288185,
0.01894967257976532,
0.0950223058462143,
-0.011220496147871017,
-0.06422869116067886,
0.012645837850868702,
0.03534691035747528,
0.026093143969774246,
0.06009494513273239,
0.07574332505464554,
0.07603828608989716,
-1.0203907181316676e-33,
-0.06739100813865662,
0.05052848532795906,
0.11373656243085861,
0.04247920587658882,
0.04435276985168457,
-0.055596355348825455,
0.0034731877967715263,
0.047203902155160904,
0.021409478038549423,
-0.0010506917024031281,
-0.007791814394295216,
-0.015557820908725262,
0.0068259998224675655,
-0.012391101568937302,
0.0067900014109909534,
-0.03387455642223358,
0.07855773717164993,
0.01792404241859913,
0.03814875707030296,
-0.02284761518239975,
-0.0221861619502306,
-0.01416897214949131,
-0.0924147218465805,
0.008034035563468933,
0.1103755310177803,
-0.014766990207135677,
0.026978569105267525,
0.028257019817829132,
0.0007516592741012573,
0.022191986441612244,
-0.06770087033510208,
-0.011501642875373363,
-0.06839431077241898,
0.01318930834531784,
-0.030078992247581482,
0.05293252319097519,
-0.057147316634655,
0.022239474579691887,
0.008216610178351402,
-0.033505622297525406,
0.00318990764208138,
-0.029622413218021393,
-0.10813416540622711,
-0.0021770682651549578,
-0.014001917093992233,
0.03948978707194328,
0.021434739232063293,
0.028620600700378418,
-0.004724495112895966,
-0.001312861917540431,
-0.010353637859225273,
0.08560807257890701,
0.0322214774787426,
0.04992472752928734,
-0.06008979305624962,
0.0017124413279816508,
-0.03496965765953064,
0.05166589468717575,
-0.036099277436733246,
-0.006333261728286743,
-0.029126212000846863,
0.029876599088311195,
0.023950649425387383,
0.009266297332942486,
-0.01515933871269226,
-0.022184284403920174,
-0.0059828078374266624,
0.03223937749862671,
0.015103669837117195,
0.05621328949928284,
0.038017310202121735,
0.08197405189275742,
-0.06847185641527176,
0.02477930672466755,
0.09598192572593689,
-0.000347985012922436,
0.030551563948392868,
0.0171190295368433,
0.005274608731269836,
0.056887559592723846,
-0.05666540935635567,
0.09867474436759949,
0.0743008404970169,
-0.026057131588459015,
0.08636508882045746,
-0.056098584085702896,
-0.007993973791599274,
-0.003878782968968153,
0.03620709478855133,
0.05543474107980728,
0.012749274261295795,
-0.0704476609826088,
0.03604245185852051,
-0.040681950747966766,
-0.15167920291423798,
-4.115982932262341e-8,
-0.10513077676296234,
-0.13669459521770477,
0.08988149464130402,
-0.01655644178390503,
0.11043372750282288,
0.08682763576507568,
0.02854250930249691,
-0.012900938279926777,
-0.053757790476083755,
0.04452281445264816,
0.07669001817703247,
0.06292261183261871,
-0.022956814616918564,
-0.011073471046984196,
0.002048107562586665,
-0.029726890847086906,
-0.03605415299534798,
-0.07335460186004639,
0.03782518953084946,
-0.024036047980189323,
0.010463864542543888,
-0.051448628306388855,
-0.05403641238808632,
0.0823412835597992,
0.047486480325460434,
-0.032377682626247406,
-0.07639855146408081,
0.043856073170900345,
-0.005410348065197468,
0.020661726593971252,
-0.017783083021640778,
-0.03562911972403526,
0.013581898994743824,
0.04729684814810753,
0.04109584540128708,
0.08876310288906097,
-0.024507300928235054,
0.0023751368280500174,
-0.010777056217193604,
-0.017859317362308502,
0.06418649852275848,
0.04546060785651207,
0.02581435814499855,
-0.015120120719075203,
-0.04399985447525978,
0.0665716826915741,
0.019899800419807434,
-0.05447070673108101,
-0.029348894953727722,
-0.03520393744111061,
0.01867915876209736,
0.02060820162296295,
-0.07249020785093307,
0.03534281253814697,
0.04944697394967079,
-0.03618161007761955,
-0.004775211215019226,
0.038926903158426285,
0.0006858283304609358,
-0.05415597930550575,
0.007103916257619858,
0.029000410810112953,
-0.059688981622457504,
-0.018290476873517036
] |
1401.0332 | Himadri Pathak | Himadri Pathak, B. K. Sahoo, B. P. Das, Nayana Vaval, Sourav Pal | Relativistic Equation of Motion Coupled-Cluster Method: Application to
the closed-shell atomic systems | null | PhysRevA.89.042510,(2014) | 10.1103/PhysRevA.89.042510 | null | physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report our successful implementation of the full fledged relativistic
equation of motion coupled cluster (EOMCC) method. This method is employed to
compute the principal ionization potentials (IPs) of closed-shell rare gas
atoms, He-like ions, Be-like ions along with Na+, Al+, K+, Be, and Mg. Four
component Dirac spinors are used in the calculations and the one and two
electron integrals are evaluated using the Dirac Coulomb Hamiltonian. Our
results are in excellent agreement with those available measurements, which are
taken from the National Institute of Science and Technology database (NIST). We
also present results using the second order many-body perturbation theory
(MBPT(2)) and random phase approximation (RPA) in the EOMCC framework. These
results are compared with those of EOMCC at the level of single and double
excitations in order to assess the role of the electron correlation effects in
the intermediate schemes considered in our calculations .
| [
{
"created": "Wed, 1 Jan 2014 21:11:37 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jan 2014 21:45:44 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Jan 2014 06:54:08 GMT",
"version": "v3"
}
] | 2014-04-24 | [
[
"Pathak",
"Himadri",
""
],
[
"Sahoo",
"B. K.",
""
],
[
"Das",
"B. P.",
""
],
[
"Vaval",
"Nayana",
""
],
[
"Pal",
"Sourav",
""
]
] | [
-0.01692918874323368,
-0.03703342750668526,
0.03791418671607971,
0.10135918855667114,
-0.04000718519091606,
0.0624217689037323,
-0.003935720771551132,
0.033263128250837326,
0.011437959037721157,
-0.0333876796066761,
0.08364048600196838,
-0.014583028852939606,
0.03994448482990265,
-0.07613033801317215,
0.031369369477033615,
-0.08192450553178787,
0.04224805533885956,
0.029535843059420586,
-0.01265723817050457,
0.05760376527905464,
-0.06221291795372963,
-0.013225385919213295,
0.09570594131946564,
-0.006472623907029629,
0.048275429755449295,
0.07984007149934769,
0.08296534419059753,
0.008067328482866287,
-0.03362938016653061,
0.007101770956069231,
0.07809776812791824,
0.02910645306110382,
-0.07628652453422546,
-0.029840394854545593,
0.038844842463731766,
0.06714256852865219,
0.039437346160411835,
-0.01926586404442787,
-0.08393867313861847,
-0.05421949550509453,
0.013137811794877052,
0.08143868297338486,
0.04398013651371002,
0.09322567284107208,
0.08909565955400467,
-0.061378560960292816,
-0.002178274095058441,
-0.047335609793663025,
0.0018308281432837248,
-0.028522053733468056,
0.05908696725964546,
0.07826264947652817,
-0.04662751778960228,
0.010044412687420845,
-0.013162829913198948,
-0.018850943073630333,
-0.02849733829498291,
-0.02805376797914505,
0.07469310611486435,
-0.08213392645120621,
0.07421571761369705,
-0.006537823472172022,
0.07605928182601929,
0.006089771632105112,
0.020431531593203545,
-0.012514994479715824,
0.048977114260196686,
-0.011614765971899033,
0.04336566478013992,
-0.04682625085115433,
-0.0778396800160408,
-0.0049699232913553715,
-0.0006370680057443678,
-0.03319919854402542,
0.006183200515806675,
-0.002987291431054473,
-0.008498189970850945,
-0.0645722895860672,
0.005105992779135704,
0.00902428850531578,
-0.042348094284534454,
-0.023264041170477867,
-0.028844717890024185,
-0.08491768687963486,
-0.014901342801749706,
0.041222747415304184,
-0.05801638588309288,
-0.01813500188291073,
-0.02157074399292469,
-0.09359011799097061,
0.0059474799782037735,
-0.04739900305867195,
-0.04614807292819023,
-0.057533446699380875,
0.016844892874360085,
0.009700899012386799,
-0.021151870489120483,
0.03218487277626991,
0.07271765172481537,
0.042686719447374344,
0.08587955683469772,
-0.002434787107631564,
-0.00516946567222476,
0.049425020813941956,
-0.05530359223484993,
0.034468214958906174,
0.08794405311346054,
0.05430874228477478,
-0.012423647567629814,
0.09992445260286331,
-0.00859800260514021,
-0.006010288838297129,
-0.044204726815223694,
-0.02076566591858864,
0.022209519520401955,
0.041012875735759735,
0.06131197139620781,
0.046110257506370544,
0.06292079389095306,
0.018070058897137642,
-0.023902971297502518,
-0.05961697921156883,
0.010771972127258778,
0.007645079400390387,
0.0591987781226635,
-0.06155620142817497,
-0.07304590940475464,
1.625920459841364e-33,
-0.009435221552848816,
0.013195461593568325,
0.07305970788002014,
0.018145350739359856,
-0.009144880808889866,
0.031397733837366104,
-0.012844639830291271,
-0.03591382876038551,
-0.05542222037911415,
-0.006628280505537987,
-0.04472068324685097,
-0.038638610392808914,
0.12698733806610107,
-0.07887496799230576,
-0.09306955337524414,
-0.05334114655852318,
-0.025072794407606125,
0.028065184131264687,
0.08114907145500183,
-0.012157194316387177,
0.036570627242326736,
0.054443396627902985,
0.04399970546364784,
-0.04040474444627762,
-0.0984329804778099,
0.10891495645046234,
0.06360936909914017,
-0.054059453308582306,
-0.013478130102157593,
-0.00015167295350693166,
0.053339507430791855,
0.03495411202311516,
-0.0855541005730629,
0.04724551737308502,
-0.033742982894182205,
0.0027843588031828403,
-0.02860579453408718,
-0.0565456822514534,
0.041412707418203354,
-0.07807638496160507,
-0.06777603924274445,
0.0008662983309477568,
-0.01623239926993847,
-0.05101533606648445,
0.003323699813336134,
-0.031620852649211884,
0.0849154144525528,
0.04900557920336723,
0.11444418132305145,
-0.0056983777321875095,
-0.005066382698714733,
-0.015433605760335922,
-0.0040304032154381275,
0.07060882449150085,
0.025884032249450684,
0.009674986824393272,
-0.00272432086057961,
0.020963121205568314,
0.0037119362968951464,
0.037349116057157516,
0.011677020229399204,
0.052444249391555786,
-0.002864521462470293,
-0.05085407942533493,
0.027446970343589783,
0.0657578781247139,
-0.07170642912387848,
-0.05219417065382004,
0.08801224827766418,
0.005661325063556433,
0.06170842796564102,
0.08922227472066879,
0.03343278169631958,
-0.042462509125471115,
0.03900955617427826,
0.010370317846536636,
-0.03151915967464447,
-0.0005765765090472996,
0.0030202402267605066,
-0.007350101135671139,
-0.03295492008328438,
-0.06611450761556625,
0.00026136034284718335,
0.05720870569348335,
-0.0394897386431694,
-0.02125149592757225,
-0.05713868886232376,
-0.013642988167703152,
-0.03224491700530052,
-0.007123334798961878,
0.0618060827255249,
-0.013079822063446045,
-0.03049830161035061,
-0.019483834505081177,
-0.044576629996299744,
-3.023163738422614e-33,
0.030645325779914856,
0.02892330475151539,
0.03285365179181099,
-0.009069334715604782,
0.03670753911137581,
-0.05214646831154823,
-0.04313533753156662,
-0.018932277336716652,
0.04573047533631325,
-0.06358839571475983,
0.12395966053009033,
-0.03452799841761589,
0.017955781891942024,
-0.03731692582368851,
0.06639373302459717,
0.049002327024936676,
0.057544633746147156,
-0.013124107383191586,
0.14119146764278412,
-0.028567135334014893,
-0.009915824979543686,
-0.0776439756155014,
0.08446482568979263,
-0.0014127648901194334,
-0.003972113132476807,
-0.04567308723926544,
0.08197363466024399,
-0.07868596166372299,
0.01900036446750164,
-0.04535644128918648,
0.006526324898004532,
0.0183767918497324,
-0.07143509387969971,
0.08136381208896637,
-0.03568636253476143,
0.0034085670486092567,
-0.07870885729789734,
-0.00030828328453935683,
-0.01948872208595276,
-0.020476805046200752,
0.004744893405586481,
0.05871739983558655,
-0.02689625322818756,
-0.034448716789484024,
0.0652899295091629,
-0.0009994904976338148,
0.013083153404295444,
0.07027193903923035,
0.024104174226522446,
0.007256840355694294,
-0.06631305813789368,
-0.07959971576929092,
-0.07503476738929749,
-0.006037407089024782,
-0.0077460831962525845,
0.10042747855186462,
0.018468841910362244,
0.000026378160328022204,
0.02392149344086647,
-0.05396154150366783,
-0.007392223924398422,
-0.029121261090040207,
0.07756756991147995,
-0.013825744390487671,
-0.06367839127779007,
-0.07251297682523727,
-0.032568320631980896,
-0.024085363373160362,
-0.014156934805214405,
0.017280513420701027,
-0.06560170650482178,
-0.013081974349915981,
0.024627704173326492,
0.008699161931872368,
0.004609070718288422,
-0.08241858333349228,
0.13679370284080505,
-0.11529719829559326,
0.060185011476278305,
-0.09843254834413528,
0.04260316491127014,
0.056854985654354095,
-0.0182624664157629,
-0.04925885424017906,
0.08268419653177261,
0.014517437666654587,
-0.07027591019868851,
0.06343039125204086,
0.036217883229255676,
-0.002765798941254616,
-0.023478679358959198,
-0.024963291361927986,
0.0632721409201622,
-0.028959129005670547,
-0.01801927201449871,
-5.192065799519696e-8,
-0.006880614440888166,
-0.06898755580186844,
-0.045271821320056915,
0.011284271255135536,
0.07369408011436462,
0.053191591054201126,
-0.07428711652755737,
-0.058542169630527496,
-0.006493387743830681,
0.00011948596511501819,
0.12512613832950592,
-0.0765218585729599,
-0.04615078121423721,
-0.08162727952003479,
-0.052611786872148514,
0.07839281111955643,
-0.011295141652226448,
-0.024900391697883606,
-0.01473100483417511,
0.018149156123399734,
-0.044403210282325745,
-0.0188722126185894,
0.011729337275028229,
-0.023437947034835815,
0.025280509144067764,
0.01387136522680521,
0.010433206334710121,
-0.07228776067495346,
-0.03556496649980545,
-0.059387754648923874,
-0.11460711807012558,
-0.07048593461513519,
0.04695039987564087,
0.039904769510030746,
-0.029407676309347153,
0.0012145203072577715,
0.0046220566146075726,
0.12909483909606934,
-0.04929304122924805,
0.06352268904447556,
0.010440253652632236,
0.008656415157020092,
0.06063607335090637,
0.028311366215348244,
0.04244348779320717,
0.10652308911085129,
-0.09214822947978973,
-0.02423151582479477,
0.014920931309461594,
-0.036229781806468964,
-0.03561783954501152,
0.04461372643709183,
-0.06801783293485641,
-0.04671167582273483,
-0.017213543877005577,
0.044400494545698166,
-0.08219412714242935,
-0.0718567818403244,
0.09144596755504608,
-0.011535006575286388,
0.03253057226538658,
0.0036427462473511696,
-0.09596212208271027,
-0.03133828192949295
] | null | null | null | null | null | null | null | [
-0.01692918874323368,
-0.03703342750668526,
0.03791418671607971,
0.10135918855667114,
-0.04000718519091606,
0.0624217689037323,
-0.003935720771551132,
0.033263128250837326,
0.011437959037721157,
-0.0333876796066761,
0.08364048600196838,
-0.014583028852939606,
0.03994448482990265,
-0.07613033801317215,
0.031369369477033615,
-0.08192450553178787,
0.04224805533885956,
0.029535843059420586,
-0.01265723817050457,
0.05760376527905464,
-0.06221291795372963,
-0.013225385919213295,
0.09570594131946564,
-0.006472623907029629,
0.048275429755449295,
0.07984007149934769,
0.08296534419059753,
0.008067328482866287,
-0.03362938016653061,
0.007101770956069231,
0.07809776812791824,
0.02910645306110382,
-0.07628652453422546,
-0.029840394854545593,
0.038844842463731766,
0.06714256852865219,
0.039437346160411835,
-0.01926586404442787,
-0.08393867313861847,
-0.05421949550509453,
0.013137811794877052,
0.08143868297338486,
0.04398013651371002,
0.09322567284107208,
0.08909565955400467,
-0.061378560960292816,
-0.002178274095058441,
-0.047335609793663025,
0.0018308281432837248,
-0.028522053733468056,
0.05908696725964546,
0.07826264947652817,
-0.04662751778960228,
0.010044412687420845,
-0.013162829913198948,
-0.018850943073630333,
-0.02849733829498291,
-0.02805376797914505,
0.07469310611486435,
-0.08213392645120621,
0.07421571761369705,
-0.006537823472172022,
0.07605928182601929,
0.006089771632105112,
0.020431531593203545,
-0.012514994479715824,
0.048977114260196686,
-0.011614765971899033,
0.04336566478013992,
-0.04682625085115433,
-0.0778396800160408,
-0.0049699232913553715,
-0.0006370680057443678,
-0.03319919854402542,
0.006183200515806675,
-0.002987291431054473,
-0.008498189970850945,
-0.0645722895860672,
0.005105992779135704,
0.00902428850531578,
-0.042348094284534454,
-0.023264041170477867,
-0.028844717890024185,
-0.08491768687963486,
-0.014901342801749706,
0.041222747415304184,
-0.05801638588309288,
-0.01813500188291073,
-0.02157074399292469,
-0.09359011799097061,
0.0059474799782037735,
-0.04739900305867195,
-0.04614807292819023,
-0.057533446699380875,
0.016844892874360085,
0.009700899012386799,
-0.021151870489120483,
0.03218487277626991,
0.07271765172481537,
0.042686719447374344,
0.08587955683469772,
-0.002434787107631564,
-0.00516946567222476,
0.049425020813941956,
-0.05530359223484993,
0.034468214958906174,
0.08794405311346054,
0.05430874228477478,
-0.012423647567629814,
0.09992445260286331,
-0.00859800260514021,
-0.006010288838297129,
-0.044204726815223694,
-0.02076566591858864,
0.022209519520401955,
0.041012875735759735,
0.06131197139620781,
0.046110257506370544,
0.06292079389095306,
0.018070058897137642,
-0.023902971297502518,
-0.05961697921156883,
0.010771972127258778,
0.007645079400390387,
0.0591987781226635,
-0.06155620142817497,
-0.07304590940475464,
1.625920459841364e-33,
-0.009435221552848816,
0.013195461593568325,
0.07305970788002014,
0.018145350739359856,
-0.009144880808889866,
0.031397733837366104,
-0.012844639830291271,
-0.03591382876038551,
-0.05542222037911415,
-0.006628280505537987,
-0.04472068324685097,
-0.038638610392808914,
0.12698733806610107,
-0.07887496799230576,
-0.09306955337524414,
-0.05334114655852318,
-0.025072794407606125,
0.028065184131264687,
0.08114907145500183,
-0.012157194316387177,
0.036570627242326736,
0.054443396627902985,
0.04399970546364784,
-0.04040474444627762,
-0.0984329804778099,
0.10891495645046234,
0.06360936909914017,
-0.054059453308582306,
-0.013478130102157593,
-0.00015167295350693166,
0.053339507430791855,
0.03495411202311516,
-0.0855541005730629,
0.04724551737308502,
-0.033742982894182205,
0.0027843588031828403,
-0.02860579453408718,
-0.0565456822514534,
0.041412707418203354,
-0.07807638496160507,
-0.06777603924274445,
0.0008662983309477568,
-0.01623239926993847,
-0.05101533606648445,
0.003323699813336134,
-0.031620852649211884,
0.0849154144525528,
0.04900557920336723,
0.11444418132305145,
-0.0056983777321875095,
-0.005066382698714733,
-0.015433605760335922,
-0.0040304032154381275,
0.07060882449150085,
0.025884032249450684,
0.009674986824393272,
-0.00272432086057961,
0.020963121205568314,
0.0037119362968951464,
0.037349116057157516,
0.011677020229399204,
0.052444249391555786,
-0.002864521462470293,
-0.05085407942533493,
0.027446970343589783,
0.0657578781247139,
-0.07170642912387848,
-0.05219417065382004,
0.08801224827766418,
0.005661325063556433,
0.06170842796564102,
0.08922227472066879,
0.03343278169631958,
-0.042462509125471115,
0.03900955617427826,
0.010370317846536636,
-0.03151915967464447,
-0.0005765765090472996,
0.0030202402267605066,
-0.007350101135671139,
-0.03295492008328438,
-0.06611450761556625,
0.00026136034284718335,
0.05720870569348335,
-0.0394897386431694,
-0.02125149592757225,
-0.05713868886232376,
-0.013642988167703152,
-0.03224491700530052,
-0.007123334798961878,
0.0618060827255249,
-0.013079822063446045,
-0.03049830161035061,
-0.019483834505081177,
-0.044576629996299744,
-3.023163738422614e-33,
0.030645325779914856,
0.02892330475151539,
0.03285365179181099,
-0.009069334715604782,
0.03670753911137581,
-0.05214646831154823,
-0.04313533753156662,
-0.018932277336716652,
0.04573047533631325,
-0.06358839571475983,
0.12395966053009033,
-0.03452799841761589,
0.017955781891942024,
-0.03731692582368851,
0.06639373302459717,
0.049002327024936676,
0.057544633746147156,
-0.013124107383191586,
0.14119146764278412,
-0.028567135334014893,
-0.009915824979543686,
-0.0776439756155014,
0.08446482568979263,
-0.0014127648901194334,
-0.003972113132476807,
-0.04567308723926544,
0.08197363466024399,
-0.07868596166372299,
0.01900036446750164,
-0.04535644128918648,
0.006526324898004532,
0.0183767918497324,
-0.07143509387969971,
0.08136381208896637,
-0.03568636253476143,
0.0034085670486092567,
-0.07870885729789734,
-0.00030828328453935683,
-0.01948872208595276,
-0.020476805046200752,
0.004744893405586481,
0.05871739983558655,
-0.02689625322818756,
-0.034448716789484024,
0.0652899295091629,
-0.0009994904976338148,
0.013083153404295444,
0.07027193903923035,
0.024104174226522446,
0.007256840355694294,
-0.06631305813789368,
-0.07959971576929092,
-0.07503476738929749,
-0.006037407089024782,
-0.0077460831962525845,
0.10042747855186462,
0.018468841910362244,
0.000026378160328022204,
0.02392149344086647,
-0.05396154150366783,
-0.007392223924398422,
-0.029121261090040207,
0.07756756991147995,
-0.013825744390487671,
-0.06367839127779007,
-0.07251297682523727,
-0.032568320631980896,
-0.024085363373160362,
-0.014156934805214405,
0.017280513420701027,
-0.06560170650482178,
-0.013081974349915981,
0.024627704173326492,
0.008699161931872368,
0.004609070718288422,
-0.08241858333349228,
0.13679370284080505,
-0.11529719829559326,
0.060185011476278305,
-0.09843254834413528,
0.04260316491127014,
0.056854985654354095,
-0.0182624664157629,
-0.04925885424017906,
0.08268419653177261,
0.014517437666654587,
-0.07027591019868851,
0.06343039125204086,
0.036217883229255676,
-0.002765798941254616,
-0.023478679358959198,
-0.024963291361927986,
0.0632721409201622,
-0.028959129005670547,
-0.01801927201449871,
-5.192065799519696e-8,
-0.006880614440888166,
-0.06898755580186844,
-0.045271821320056915,
0.011284271255135536,
0.07369408011436462,
0.053191591054201126,
-0.07428711652755737,
-0.058542169630527496,
-0.006493387743830681,
0.00011948596511501819,
0.12512613832950592,
-0.0765218585729599,
-0.04615078121423721,
-0.08162727952003479,
-0.052611786872148514,
0.07839281111955643,
-0.011295141652226448,
-0.024900391697883606,
-0.01473100483417511,
0.018149156123399734,
-0.044403210282325745,
-0.0188722126185894,
0.011729337275028229,
-0.023437947034835815,
0.025280509144067764,
0.01387136522680521,
0.010433206334710121,
-0.07228776067495346,
-0.03556496649980545,
-0.059387754648923874,
-0.11460711807012558,
-0.07048593461513519,
0.04695039987564087,
0.039904769510030746,
-0.029407676309347153,
0.0012145203072577715,
0.0046220566146075726,
0.12909483909606934,
-0.04929304122924805,
0.06352268904447556,
0.010440253652632236,
0.008656415157020092,
0.06063607335090637,
0.028311366215348244,
0.04244348779320717,
0.10652308911085129,
-0.09214822947978973,
-0.02423151582479477,
0.014920931309461594,
-0.036229781806468964,
-0.03561783954501152,
0.04461372643709183,
-0.06801783293485641,
-0.04671167582273483,
-0.017213543877005577,
0.044400494545698166,
-0.08219412714242935,
-0.0718567818403244,
0.09144596755504608,
-0.011535006575286388,
0.03253057226538658,
0.0036427462473511696,
-0.09596212208271027,
-0.03133828192949295
] |
1401.0333 | Kiran Sankar Maiti | Kiran Sankar Maiti and Christoph Scheurer | Vibrational Spectroscopy of Methyl benzoate | 11 pages, 8 figures | null | null | null | physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Methyl benzoate (MB) is studied as a model compound for the development of
new IR pulse schemes with possible applicability to biomolecules. Anharmonic
vibrational modes of MB are calculated on different level (MP2, SCS, CCSD(T)
with varying basis sets) ab-initio PESs using the vibrational self-consistent
field (VSCF) method and its correlation corrected extensions. Dual level
schemes, combining different quantum chemical methods for diagonal and coupling
potentials, are systematically studied and applied successfully to reduce the
computational cost. Isotopic substitution of {\beta}-hydrogen by deuterium is
studied to obtain a better understanding of the molecular vibrational coupling
topology.
| [
{
"created": "Wed, 1 Jan 2014 21:12:53 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Maiti",
"Kiran Sankar",
""
],
[
"Scheurer",
"Christoph",
""
]
] | [
-0.007939271628856659,
-0.043983958661556244,
-0.04601138085126877,
-0.028183139860630035,
-0.025448346510529518,
-0.0281632449477911,
-0.006631287280470133,
0.07483845204114914,
0.02862515300512314,
-0.056859295815229416,
0.01154940016567707,
-0.036275506019592285,
-0.06440214067697525,
-0.009538045153021812,
0.0704582929611206,
0.04933057352900505,
0.014701525680720806,
0.01005046721547842,
0.005343584343791008,
0.03373706713318825,
-0.02350507490336895,
-0.0025576369371265173,
-0.017615387216210365,
-0.052155546844005585,
-0.0047844043001532555,
0.018296275287866592,
0.013482125476002693,
0.09695237874984741,
0.018753552809357643,
-0.05888216942548752,
0.14244210720062256,
-0.032127805054187775,
-0.037758901715278625,
-0.027906564995646477,
0.008329160511493683,
-0.002594610443338752,
0.03834829851984978,
0.009587716311216354,
-0.07960175722837448,
-0.006979793775826693,
-0.030044211074709892,
0.022628143429756165,
-0.026469282805919647,
0.01878812536597252,
-0.028124311938881874,
-0.0408761128783226,
-0.007395102176815271,
-0.009334047324955463,
-0.02843673899769783,
-0.0979095920920372,
0.022974424064159393,
-0.022718489170074463,
0.01473167259246111,
0.0356685072183609,
-0.07384143024682999,
0.04724052548408508,
0.0339323990046978,
0.02290486730635166,
0.03232184052467346,
-0.09645670652389526,
0.01984683983027935,
-0.0005232560215517879,
-0.00406816229224205,
-0.009850244037806988,
0.011500982567667961,
0.0031745864544063807,
0.06550854444503784,
-0.022275524213910103,
0.03512199595570564,
-0.0028102456126362085,
-0.13779252767562866,
-0.035366836935281754,
-0.03949415311217308,
-0.020642228424549103,
-0.020192120224237442,
0.0049024904146790504,
0.002195536158978939,
0.0854777917265892,
-0.02920665591955185,
-0.04100378602743149,
0.006845271680504084,
0.007828814908862114,
0.059717267751693726,
-0.022181697189807892,
0.04762859642505646,
0.04498996585607529,
-0.06509954482316971,
-0.01822160743176937,
-0.006212859880179167,
0.009065026417374611,
0.025945983827114105,
-0.027135184034705162,
-0.024159034714102745,
-0.0308437068015337,
-0.04819438233971596,
0.05638903006911278,
0.05006212741136551,
-0.0445735864341259,
0.10196875035762787,
-0.013819991610944271,
0.011111184023320675,
-0.018970448523759842,
-0.13987915217876434,
-0.06217144802212715,
0.014414636418223381,
0.027318796142935753,
0.056056179106235504,
0.10261722654104233,
0.02913763001561165,
-0.007868335582315922,
-0.021625308319926262,
0.01568114571273327,
0.012033846229314804,
-0.024437325075268745,
-0.01961125247180462,
0.06170862913131714,
-0.0267194677144289,
0.012899345718324184,
0.04337810352444649,
-0.06114339828491211,
0.02256832644343376,
0.018291765823960304,
-0.009984015487134457,
-0.0453416146337986,
-0.04015367850661278,
-0.004603206645697355,
-0.15712566673755646,
1.211037534735811e-33,
0.06212892755866051,
0.08468036353588104,
0.0639316588640213,
-0.08041390776634216,
-0.03447229415178299,
-0.003666194621473551,
-0.032769523561000824,
-0.008615980856120586,
-0.0461074523627758,
-0.007897498086094856,
-0.03364197164773941,
-0.008918709121644497,
0.06658017635345459,
-0.039415646344423294,
-0.049965616315603256,
-0.005056774243712425,
0.028549514710903168,
0.04532787203788757,
-0.06052597239613533,
-0.04436146840453148,
-0.003245596308261156,
0.03940729424357414,
0.03767751157283783,
0.027985792607069016,
-0.023615725338459015,
0.0788082629442215,
0.058507002890110016,
0.08015365898609161,
-0.014846538193523884,
0.004753837361931801,
-0.027689924463629723,
0.009299292229115963,
-0.049736060202121735,
0.0007214871584437788,
0.11561878770589828,
0.0000035479185953590786,
-0.016847625374794006,
0.0292795579880476,
0.022612227126955986,
-0.0689161866903305,
0.0025205386336892843,
0.0046401177532970905,
0.020926302298903465,
-0.016734497621655464,
-0.030793290585279465,
0.00364764966070652,
0.026354091241955757,
0.006560503970831633,
0.00561875244602561,
-0.025105850771069527,
-0.017282618209719658,
0.00373984151519835,
-0.01726577617228031,
0.018675973638892174,
-0.0024904231540858746,
-0.03896495699882507,
0.021632473915815353,
0.027124270796775818,
-0.018478134647011757,
-0.0010242755524814129,
-0.004328716080635786,
-0.00011483400157885626,
0.05037008598446846,
-0.067769356071949,
-0.01664828136563301,
0.03812628984451294,
-0.11796478182077408,
0.01925787329673767,
0.012811901047825813,
0.06597854942083359,
0.032632872462272644,
0.1145019680261612,
0.10231141000986099,
-0.053280629217624664,
-0.032249707728624344,
0.0017380082281306386,
-0.04229191318154335,
-0.09196818619966507,
0.10799247771501541,
0.0023554496001452208,
-0.07668598741292953,
0.09208235889673233,
-0.02673960104584694,
-0.019405506551265717,
-0.05018975958228111,
-0.05735214054584503,
-0.022434433922171593,
0.03340204805135727,
-0.03526844456791878,
0.02044561691582203,
-0.07208633422851562,
-0.01869344897568226,
0.08979496359825134,
-0.11324126273393631,
0.0005440941895358264,
-4.258616933673477e-33,
0.06442227214574814,
0.10228459537029266,
0.04476829990744591,
-0.04853736236691475,
0.09455117583274841,
0.029993649572134018,
0.03374667838215828,
0.030467813834547997,
-0.003204057225957513,
-0.012792464345693588,
0.11155989021062851,
-0.018511885777115822,
-0.0919542983174324,
0.05288354679942131,
0.001204215339384973,
0.01934712752699852,
-0.08413423597812653,
-0.048170145601034164,
0.09826024621725082,
-0.08075231313705444,
-0.017791608348488808,
-0.03685624524950981,
0.02499658800661564,
0.060115743428468704,
-0.03285706415772438,
-0.04224004969000816,
0.01893550157546997,
-0.048721931874752045,
0.07401617616415024,
0.00862515065819025,
-0.017536688596010208,
0.047083497047424316,
-0.019784193485975266,
0.0084342947229743,
0.02850433625280857,
0.09326249361038208,
-0.10227721184492111,
0.031425781548023224,
0.007746513467282057,
-0.01483084075152874,
-0.014531913213431835,
-0.06746353209018707,
-0.08853598684072495,
0.00374427018687129,
0.04272718355059624,
0.06188368797302246,
-0.06288709491491318,
-0.01661737449467182,
0.019174370914697647,
-0.06375059485435486,
0.007723597809672356,
-0.05078364908695221,
0.017274804413318634,
0.010158884339034557,
-0.034253381192684174,
0.05347621440887451,
0.024583349004387856,
-0.0026159100234508514,
0.013489257544279099,
-0.061649031937122345,
0.024667808786034584,
-0.02747814916074276,
0.11175321787595749,
0.011205491609871387,
-0.08896204829216003,
0.043835703283548355,
0.08555640280246735,
-0.0038274747785180807,
-0.025063714012503624,
-0.008344486355781555,
-0.04291874170303345,
-0.02058631181716919,
0.05446169152855873,
0.06936925649642944,
-0.021875401958823204,
-0.07073888927698135,
0.03617582470178604,
-0.1276918351650238,
-0.0715944916009903,
-0.014522858895361423,
0.048776984214782715,
0.05421626567840576,
-0.07832679152488708,
-0.051862336695194244,
0.008542436175048351,
0.01402646116912365,
-0.023093387484550476,
0.029043203219771385,
-0.008538358844816685,
-0.04966394603252411,
0.023483283817768097,
0.07165941596031189,
0.0518188513815403,
0.1439409852027893,
0.08177204430103302,
-4.669380260224898e-8,
0.06787419319152832,
-0.14613135159015656,
-0.04254534840583801,
-0.012141224928200245,
-0.041754722595214844,
0.06320599466562271,
-0.026478037238121033,
-0.08446799218654633,
-0.006253980565816164,
-0.0218982994556427,
-0.029033493250608444,
-0.04045100510120392,
0.00667047593742609,
0.052799977362155914,
0.017091570422053337,
0.008506457321345806,
0.015236805193126202,
-0.016881221905350685,
-0.018520217388868332,
0.0010713392402976751,
-0.007580735255032778,
0.06311506778001785,
-0.08712603896856308,
-0.006001906935125589,
0.07269243896007538,
-0.025021208450198174,
-0.04375727102160454,
-0.0027853630017489195,
0.001319918199442327,
-0.03236011788249016,
0.07940258085727692,
0.05265558138489723,
0.02799108810722828,
0.11767204105854034,
-0.0014309827238321304,
0.02143026329576969,
-0.08295376598834991,
0.03831789270043373,
-0.11943265795707703,
-0.02237851358950138,
0.011728791519999504,
0.03911612927913666,
-0.03469055891036987,
0.011493468657135963,
0.0019568761344999075,
0.017592668533325195,
0.010660463944077492,
0.124714195728302,
0.000645279127638787,
0.09236278384923935,
-0.08377338200807571,
0.09900602698326111,
-0.05275634676218033,
-0.037557847797870636,
-0.05371313914656639,
0.04330962151288986,
-0.10851031541824341,
-0.02825717255473137,
-0.001221293117851019,
-0.04338635131716728,
0.1289878934621811,
-0.1230117529630661,
-0.008338099345564842,
-0.019128084182739258
] | null | null | null | null | null | null | null | [
-0.007939271628856659,
-0.043983958661556244,
-0.04601138085126877,
-0.028183139860630035,
-0.025448346510529518,
-0.0281632449477911,
-0.006631287280470133,
0.07483845204114914,
0.02862515300512314,
-0.056859295815229416,
0.01154940016567707,
-0.036275506019592285,
-0.06440214067697525,
-0.009538045153021812,
0.0704582929611206,
0.04933057352900505,
0.014701525680720806,
0.01005046721547842,
0.005343584343791008,
0.03373706713318825,
-0.02350507490336895,
-0.0025576369371265173,
-0.017615387216210365,
-0.052155546844005585,
-0.0047844043001532555,
0.018296275287866592,
0.013482125476002693,
0.09695237874984741,
0.018753552809357643,
-0.05888216942548752,
0.14244210720062256,
-0.032127805054187775,
-0.037758901715278625,
-0.027906564995646477,
0.008329160511493683,
-0.002594610443338752,
0.03834829851984978,
0.009587716311216354,
-0.07960175722837448,
-0.006979793775826693,
-0.030044211074709892,
0.022628143429756165,
-0.026469282805919647,
0.01878812536597252,
-0.028124311938881874,
-0.0408761128783226,
-0.007395102176815271,
-0.009334047324955463,
-0.02843673899769783,
-0.0979095920920372,
0.022974424064159393,
-0.022718489170074463,
0.01473167259246111,
0.0356685072183609,
-0.07384143024682999,
0.04724052548408508,
0.0339323990046978,
0.02290486730635166,
0.03232184052467346,
-0.09645670652389526,
0.01984683983027935,
-0.0005232560215517879,
-0.00406816229224205,
-0.009850244037806988,
0.011500982567667961,
0.0031745864544063807,
0.06550854444503784,
-0.022275524213910103,
0.03512199595570564,
-0.0028102456126362085,
-0.13779252767562866,
-0.035366836935281754,
-0.03949415311217308,
-0.020642228424549103,
-0.020192120224237442,
0.0049024904146790504,
0.002195536158978939,
0.0854777917265892,
-0.02920665591955185,
-0.04100378602743149,
0.006845271680504084,
0.007828814908862114,
0.059717267751693726,
-0.022181697189807892,
0.04762859642505646,
0.04498996585607529,
-0.06509954482316971,
-0.01822160743176937,
-0.006212859880179167,
0.009065026417374611,
0.025945983827114105,
-0.027135184034705162,
-0.024159034714102745,
-0.0308437068015337,
-0.04819438233971596,
0.05638903006911278,
0.05006212741136551,
-0.0445735864341259,
0.10196875035762787,
-0.013819991610944271,
0.011111184023320675,
-0.018970448523759842,
-0.13987915217876434,
-0.06217144802212715,
0.014414636418223381,
0.027318796142935753,
0.056056179106235504,
0.10261722654104233,
0.02913763001561165,
-0.007868335582315922,
-0.021625308319926262,
0.01568114571273327,
0.012033846229314804,
-0.024437325075268745,
-0.01961125247180462,
0.06170862913131714,
-0.0267194677144289,
0.012899345718324184,
0.04337810352444649,
-0.06114339828491211,
0.02256832644343376,
0.018291765823960304,
-0.009984015487134457,
-0.0453416146337986,
-0.04015367850661278,
-0.004603206645697355,
-0.15712566673755646,
1.211037534735811e-33,
0.06212892755866051,
0.08468036353588104,
0.0639316588640213,
-0.08041390776634216,
-0.03447229415178299,
-0.003666194621473551,
-0.032769523561000824,
-0.008615980856120586,
-0.0461074523627758,
-0.007897498086094856,
-0.03364197164773941,
-0.008918709121644497,
0.06658017635345459,
-0.039415646344423294,
-0.049965616315603256,
-0.005056774243712425,
0.028549514710903168,
0.04532787203788757,
-0.06052597239613533,
-0.04436146840453148,
-0.003245596308261156,
0.03940729424357414,
0.03767751157283783,
0.027985792607069016,
-0.023615725338459015,
0.0788082629442215,
0.058507002890110016,
0.08015365898609161,
-0.014846538193523884,
0.004753837361931801,
-0.027689924463629723,
0.009299292229115963,
-0.049736060202121735,
0.0007214871584437788,
0.11561878770589828,
0.0000035479185953590786,
-0.016847625374794006,
0.0292795579880476,
0.022612227126955986,
-0.0689161866903305,
0.0025205386336892843,
0.0046401177532970905,
0.020926302298903465,
-0.016734497621655464,
-0.030793290585279465,
0.00364764966070652,
0.026354091241955757,
0.006560503970831633,
0.00561875244602561,
-0.025105850771069527,
-0.017282618209719658,
0.00373984151519835,
-0.01726577617228031,
0.018675973638892174,
-0.0024904231540858746,
-0.03896495699882507,
0.021632473915815353,
0.027124270796775818,
-0.018478134647011757,
-0.0010242755524814129,
-0.004328716080635786,
-0.00011483400157885626,
0.05037008598446846,
-0.067769356071949,
-0.01664828136563301,
0.03812628984451294,
-0.11796478182077408,
0.01925787329673767,
0.012811901047825813,
0.06597854942083359,
0.032632872462272644,
0.1145019680261612,
0.10231141000986099,
-0.053280629217624664,
-0.032249707728624344,
0.0017380082281306386,
-0.04229191318154335,
-0.09196818619966507,
0.10799247771501541,
0.0023554496001452208,
-0.07668598741292953,
0.09208235889673233,
-0.02673960104584694,
-0.019405506551265717,
-0.05018975958228111,
-0.05735214054584503,
-0.022434433922171593,
0.03340204805135727,
-0.03526844456791878,
0.02044561691582203,
-0.07208633422851562,
-0.01869344897568226,
0.08979496359825134,
-0.11324126273393631,
0.0005440941895358264,
-4.258616933673477e-33,
0.06442227214574814,
0.10228459537029266,
0.04476829990744591,
-0.04853736236691475,
0.09455117583274841,
0.029993649572134018,
0.03374667838215828,
0.030467813834547997,
-0.003204057225957513,
-0.012792464345693588,
0.11155989021062851,
-0.018511885777115822,
-0.0919542983174324,
0.05288354679942131,
0.001204215339384973,
0.01934712752699852,
-0.08413423597812653,
-0.048170145601034164,
0.09826024621725082,
-0.08075231313705444,
-0.017791608348488808,
-0.03685624524950981,
0.02499658800661564,
0.060115743428468704,
-0.03285706415772438,
-0.04224004969000816,
0.01893550157546997,
-0.048721931874752045,
0.07401617616415024,
0.00862515065819025,
-0.017536688596010208,
0.047083497047424316,
-0.019784193485975266,
0.0084342947229743,
0.02850433625280857,
0.09326249361038208,
-0.10227721184492111,
0.031425781548023224,
0.007746513467282057,
-0.01483084075152874,
-0.014531913213431835,
-0.06746353209018707,
-0.08853598684072495,
0.00374427018687129,
0.04272718355059624,
0.06188368797302246,
-0.06288709491491318,
-0.01661737449467182,
0.019174370914697647,
-0.06375059485435486,
0.007723597809672356,
-0.05078364908695221,
0.017274804413318634,
0.010158884339034557,
-0.034253381192684174,
0.05347621440887451,
0.024583349004387856,
-0.0026159100234508514,
0.013489257544279099,
-0.061649031937122345,
0.024667808786034584,
-0.02747814916074276,
0.11175321787595749,
0.011205491609871387,
-0.08896204829216003,
0.043835703283548355,
0.08555640280246735,
-0.0038274747785180807,
-0.025063714012503624,
-0.008344486355781555,
-0.04291874170303345,
-0.02058631181716919,
0.05446169152855873,
0.06936925649642944,
-0.021875401958823204,
-0.07073888927698135,
0.03617582470178604,
-0.1276918351650238,
-0.0715944916009903,
-0.014522858895361423,
0.048776984214782715,
0.05421626567840576,
-0.07832679152488708,
-0.051862336695194244,
0.008542436175048351,
0.01402646116912365,
-0.023093387484550476,
0.029043203219771385,
-0.008538358844816685,
-0.04966394603252411,
0.023483283817768097,
0.07165941596031189,
0.0518188513815403,
0.1439409852027893,
0.08177204430103302,
-4.669380260224898e-8,
0.06787419319152832,
-0.14613135159015656,
-0.04254534840583801,
-0.012141224928200245,
-0.041754722595214844,
0.06320599466562271,
-0.026478037238121033,
-0.08446799218654633,
-0.006253980565816164,
-0.0218982994556427,
-0.029033493250608444,
-0.04045100510120392,
0.00667047593742609,
0.052799977362155914,
0.017091570422053337,
0.008506457321345806,
0.015236805193126202,
-0.016881221905350685,
-0.018520217388868332,
0.0010713392402976751,
-0.007580735255032778,
0.06311506778001785,
-0.08712603896856308,
-0.006001906935125589,
0.07269243896007538,
-0.025021208450198174,
-0.04375727102160454,
-0.0027853630017489195,
0.001319918199442327,
-0.03236011788249016,
0.07940258085727692,
0.05265558138489723,
0.02799108810722828,
0.11767204105854034,
-0.0014309827238321304,
0.02143026329576969,
-0.08295376598834991,
0.03831789270043373,
-0.11943265795707703,
-0.02237851358950138,
0.011728791519999504,
0.03911612927913666,
-0.03469055891036987,
0.011493468657135963,
0.0019568761344999075,
0.017592668533325195,
0.010660463944077492,
0.124714195728302,
0.000645279127638787,
0.09236278384923935,
-0.08377338200807571,
0.09900602698326111,
-0.05275634676218033,
-0.037557847797870636,
-0.05371313914656639,
0.04330962151288986,
-0.10851031541824341,
-0.02825717255473137,
-0.001221293117851019,
-0.04338635131716728,
0.1289878934621811,
-0.1230117529630661,
-0.008338099345564842,
-0.019128084182739258
] |
1401.0336 | Rachel Cummings | Rachel Cummings, Federico Echenique, Adam Wierman | The Empirical Implications of Privacy-Aware Choice | null | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper initiates the study of the testable implications of choice data in
settings where agents have privacy preferences. We adapt the standard
conceptualization of consumer choice theory to a situation where the consumer
is aware of, and has preferences over, the information revealed by her choices.
The main message of the paper is that little can be inferred about consumers'
preferences once we introduce the possibility that the consumer has concerns
about privacy. This holds even when consumers' privacy preferences are assumed
to be monotonic and separable. This motivates the consideration of stronger
assumptions and, to that end, we introduce an additive model for privacy
preferences that does have testable implications.
| [
{
"created": "Wed, 1 Jan 2014 21:17:22 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Cummings",
"Rachel",
""
],
[
"Echenique",
"Federico",
""
],
[
"Wierman",
"Adam",
""
]
] | [
0.0002591912925709039,
-0.052413348108530045,
-0.0650969073176384,
0.04525366052985191,
0.03098941035568714,
0.052818361669778824,
0.08179910480976105,
0.008835519663989544,
-0.008523264899849892,
0.04094471037387848,
0.11824177205562592,
0.007825362496078014,
0.012037173844873905,
-0.030820656567811966,
0.1145954579114914,
-0.05653853341937065,
0.09706071764230728,
-0.029386235401034355,
-0.08320572972297668,
0.05224847048521042,
-0.003494094591587782,
-0.039412010461091995,
0.05308537557721138,
-0.007038744166493416,
-0.0012692229356616735,
-0.0028095883317291737,
0.04655676335096359,
-0.015839142724871635,
-0.017829319462180138,
0.006912345997989178,
0.05838761851191521,
0.024468516930937767,
0.0398540161550045,
-0.0012648794800043106,
0.04699954763054848,
-0.10651034116744995,
-0.03152080625295639,
-0.03772810101509094,
-0.06052905321121216,
0.03277978301048279,
-0.03691687434911728,
-0.08441197127103806,
-0.030858201906085014,
-0.001940844813361764,
-0.0681714192032814,
0.026059169322252274,
0.07657848298549652,
-0.003354903543367982,
-0.038070037961006165,
-0.008022715337574482,
-0.0012723099207505584,
0.013793126679956913,
-0.06468923389911652,
-0.049819737672805786,
0.005851764231920242,
-0.045543018728494644,
-0.059448760002851486,
-0.03899635374546051,
-0.05436873063445091,
-0.0072716460563242435,
-0.06456144899129868,
-0.08827577531337738,
-0.03956323862075806,
0.06760916858911514,
0.026338541880249977,
0.07232256978750229,
-0.042316097766160965,
0.03244335949420929,
-0.023914441466331482,
-0.03628305345773697,
-0.04532264173030853,
0.0826600193977356,
0.03841250762343407,
-0.014414608478546143,
0.07114212960004807,
-0.03940242901444435,
0.026144089177250862,
-0.003203489352017641,
0.008952638134360313,
-0.015026754699647427,
-0.09764458984136581,
-0.08796994388103485,
-0.029644794762134552,
0.07244965434074402,
-0.036716192960739136,
0.019608138129115105,
0.0199020653963089,
0.0004865654918830842,
-0.011943668127059937,
-0.026042383164167404,
-0.005571463610976934,
0.013623525388538837,
-0.05681407079100609,
0.026078570634126663,
0.004110694397240877,
0.07883256673812866,
0.01715955138206482,
-0.05039868503808975,
0.0013619903475046158,
0.016271524131298065,
0.006833289284259081,
0.022984031587839127,
-0.04230199754238129,
0.07123984396457672,
-0.022369682788848877,
-0.015721146017313004,
0.0030153810512274504,
-0.0319606177508831,
0.06462832540273666,
0.0765160471200943,
0.012669182382524014,
-0.04535725340247154,
0.060039691627025604,
-0.02055303379893303,
0.005870729684829712,
-0.05040447786450386,
-0.034416478127241135,
0.04168132320046425,
0.04886245355010033,
-0.04191811382770538,
0.019552189856767654,
-0.019163936376571655,
0.08617253601551056,
-0.04274160414934158,
-0.0040819053538143635,
0.07708270847797394,
-0.017278499901294708,
-6.063323265489321e-35,
-0.04836615175008774,
-0.005318167619407177,
0.0311816968023777,
-0.011738152243196964,
0.019280564039945602,
0.0212344191968441,
-0.048375263810157776,
0.04015173390507698,
-0.04826558008790016,
0.04180173948407173,
0.09526327252388,
0.056674860417842865,
0.0045401533134281635,
0.08698387444019318,
0.04924018308520317,
0.09616772085428238,
0.009455615654587746,
0.10382665693759918,
0.0473112016916275,
-0.019237108528614044,
0.14075669646263123,
0.0498160757124424,
0.038049109280109406,
-0.03231912851333618,
-0.018530111759901047,
-0.10795751959085464,
-0.00802322942763567,
-0.01799328625202179,
0.02550458163022995,
-0.002193806692957878,
-0.023831337690353394,
0.04243570566177368,
0.058428723365068436,
0.016011182218790054,
0.025702329352498055,
0.07706760615110397,
-0.09034169465303421,
-0.025376828387379646,
-0.01331122126430273,
0.020009856671094894,
-0.00889679230749607,
-0.03759897127747536,
0.023571789264678955,
0.06051502376794815,
-0.034814249724149704,
0.06239164620637894,
-0.022605566307902336,
-0.00390208070166409,
0.016378026455640793,
-0.010778997093439102,
-0.007789766415953636,
0.08153484761714935,
-0.02769545279443264,
-0.03148329630494118,
-0.05137057602405548,
0.04136786609888077,
0.023600468412041664,
-0.035296909511089325,
-0.014934065751731396,
0.004599312786012888,
-0.042688559740781784,
0.05066254362463951,
0.08680382370948792,
-0.03727542608976364,
0.0113113047555089,
0.050177738070487976,
-0.051887623965740204,
-0.0967612937092781,
0.04055657610297203,
-0.021134028211236,
-0.036235347390174866,
0.06533919274806976,
-0.0958051010966301,
-0.003861076897010207,
-0.029719237238168716,
-0.023759962990880013,
-0.01519776787608862,
0.04433661699295044,
0.04200981929898262,
-0.13439220190048218,
0.0718984603881836,
-0.029032234102487564,
0.032414112240076065,
-0.01737477257847786,
-0.02972775511443615,
-0.06317315995693207,
-0.055692415684461594,
-0.014819731935858727,
0.004220258444547653,
-0.022576266899704933,
0.017024053260684013,
0.07449503242969513,
-0.04649221897125244,
0.0053329686634242535,
-0.01001051813364029,
-1.7511506484802625e-33,
-0.09961014986038208,
-0.07690358906984329,
-0.03842974454164505,
0.09804831445217133,
0.05045512318611145,
-0.032350052148103714,
-0.014633904211223125,
-0.028880463913083076,
0.023174915462732315,
-0.02821301855146885,
-0.06383673846721649,
0.03760873153805733,
0.04710967093706131,
-0.039261169731616974,
-0.05151289328932762,
-0.005264599341899157,
0.04069342091679573,
-0.0565793402493,
-0.020007368177175522,
-0.03828730806708336,
-0.005830641370266676,
0.0037415323313325644,
-0.03226587548851967,
0.042357187718153,
0.01595468819141388,
0.0011921009281650186,
-0.12308619171380997,
0.040388625115156174,
0.048083316534757614,
-0.10436641424894333,
-0.037417519837617874,
-0.005348298233002424,
-0.07972113788127899,
-0.05788107216358185,
0.07392482459545135,
0.0005802115192636847,
-0.019348226487636566,
0.08265994489192963,
-0.016579212620854378,
0.09962233901023865,
-0.036289334297180176,
0.006219233851879835,
-0.10078859329223633,
0.024879777804017067,
0.07159173488616943,
-0.010956126265227795,
0.03954863175749779,
-0.02427447959780693,
0.07159090042114258,
-0.021552681922912598,
0.03712725266814232,
0.03720256686210632,
0.07415833324193954,
0.0792052149772644,
-0.045772820711135864,
0.003848129650577903,
0.05504734441637993,
-0.03984412923455238,
0.14066359400749207,
-0.0032702467869967222,
0.004537730477750301,
0.043791916221380234,
-0.027081675827503204,
0.050357475876808167,
-0.023198997601866722,
-0.07218021154403687,
0.005978996865451336,
-0.07061447948217392,
0.06329382956027985,
-0.05182340741157532,
-0.01932304911315441,
-0.17396827042102814,
-0.07842184603214264,
-0.05812644585967064,
0.06916855275630951,
0.08005575090646744,
-0.023645075038075447,
0.02184608392417431,
0.0090218186378479,
0.09262857586145401,
0.018962174654006958,
0.028581678867340088,
0.0314556322991848,
-0.0738203302025795,
0.05517119914293289,
-0.026975052431225777,
0.00949101708829403,
0.013528634794056416,
-0.015928614884614944,
-0.0016227207379415631,
0.01686088554561138,
0.013145772740244865,
-0.0664721131324768,
0.0016126659465953708,
-0.050701770931482315,
-4.5419483285513707e-8,
0.03551700711250305,
-0.10915141552686691,
0.061353687196969986,
0.026686126366257668,
0.006943477783352137,
-0.008802132681012154,
0.05277135968208313,
-0.007595543749630451,
-0.1089819148182869,
0.009893092326819897,
0.029827093705534935,
0.07359416782855988,
-0.01586230844259262,
0.033984601497650146,
0.0037223247345536947,
0.05448739230632782,
0.0013167873257771134,
-0.05694616213440895,
0.012805595993995667,
0.04848848655819893,
-0.003869366832077503,
-0.01506523136049509,
0.019903702661395073,
-0.032355502247810364,
0.020872047170996666,
0.08171088993549347,
-0.0472019761800766,
0.04473090171813965,
-0.008645155467092991,
0.21007364988327026,
0.06533294916152954,
-0.06512323766946793,
-0.03341418132185936,
-0.03670189529657364,
-0.035095687955617905,
0.044064007699489594,
-0.05230191349983215,
-0.014401429332792759,
0.03472992777824402,
-0.10052935779094696,
0.020903918892145157,
-0.054625269025564194,
0.003182522254064679,
0.008941087871789932,
-0.007550422567874193,
-0.04806745424866676,
0.04048694670200348,
-0.13524045050144196,
-0.03772229701280594,
-0.022361455485224724,
-0.02841079980134964,
-0.05165496841073036,
0.036119963973760605,
0.0011117816902697086,
0.045968327671289444,
-0.06475754082202911,
0.0389968641102314,
-0.014735343866050243,
-0.018983518704771996,
0.0354672446846962,
0.1013694778084755,
0.04880192130804062,
-0.046492673456668854,
-0.020760787650942802
] | null | null | null | null | null | null | null | [
0.0002591912925709039,
-0.052413348108530045,
-0.0650969073176384,
0.04525366052985191,
0.03098941035568714,
0.052818361669778824,
0.08179910480976105,
0.008835519663989544,
-0.008523264899849892,
0.04094471037387848,
0.11824177205562592,
0.007825362496078014,
0.012037173844873905,
-0.030820656567811966,
0.1145954579114914,
-0.05653853341937065,
0.09706071764230728,
-0.029386235401034355,
-0.08320572972297668,
0.05224847048521042,
-0.003494094591587782,
-0.039412010461091995,
0.05308537557721138,
-0.007038744166493416,
-0.0012692229356616735,
-0.0028095883317291737,
0.04655676335096359,
-0.015839142724871635,
-0.017829319462180138,
0.006912345997989178,
0.05838761851191521,
0.024468516930937767,
0.0398540161550045,
-0.0012648794800043106,
0.04699954763054848,
-0.10651034116744995,
-0.03152080625295639,
-0.03772810101509094,
-0.06052905321121216,
0.03277978301048279,
-0.03691687434911728,
-0.08441197127103806,
-0.030858201906085014,
-0.001940844813361764,
-0.0681714192032814,
0.026059169322252274,
0.07657848298549652,
-0.003354903543367982,
-0.038070037961006165,
-0.008022715337574482,
-0.0012723099207505584,
0.013793126679956913,
-0.06468923389911652,
-0.049819737672805786,
0.005851764231920242,
-0.045543018728494644,
-0.059448760002851486,
-0.03899635374546051,
-0.05436873063445091,
-0.0072716460563242435,
-0.06456144899129868,
-0.08827577531337738,
-0.03956323862075806,
0.06760916858911514,
0.026338541880249977,
0.07232256978750229,
-0.042316097766160965,
0.03244335949420929,
-0.023914441466331482,
-0.03628305345773697,
-0.04532264173030853,
0.0826600193977356,
0.03841250762343407,
-0.014414608478546143,
0.07114212960004807,
-0.03940242901444435,
0.026144089177250862,
-0.003203489352017641,
0.008952638134360313,
-0.015026754699647427,
-0.09764458984136581,
-0.08796994388103485,
-0.029644794762134552,
0.07244965434074402,
-0.036716192960739136,
0.019608138129115105,
0.0199020653963089,
0.0004865654918830842,
-0.011943668127059937,
-0.026042383164167404,
-0.005571463610976934,
0.013623525388538837,
-0.05681407079100609,
0.026078570634126663,
0.004110694397240877,
0.07883256673812866,
0.01715955138206482,
-0.05039868503808975,
0.0013619903475046158,
0.016271524131298065,
0.006833289284259081,
0.022984031587839127,
-0.04230199754238129,
0.07123984396457672,
-0.022369682788848877,
-0.015721146017313004,
0.0030153810512274504,
-0.0319606177508831,
0.06462832540273666,
0.0765160471200943,
0.012669182382524014,
-0.04535725340247154,
0.060039691627025604,
-0.02055303379893303,
0.005870729684829712,
-0.05040447786450386,
-0.034416478127241135,
0.04168132320046425,
0.04886245355010033,
-0.04191811382770538,
0.019552189856767654,
-0.019163936376571655,
0.08617253601551056,
-0.04274160414934158,
-0.0040819053538143635,
0.07708270847797394,
-0.017278499901294708,
-6.063323265489321e-35,
-0.04836615175008774,
-0.005318167619407177,
0.0311816968023777,
-0.011738152243196964,
0.019280564039945602,
0.0212344191968441,
-0.048375263810157776,
0.04015173390507698,
-0.04826558008790016,
0.04180173948407173,
0.09526327252388,
0.056674860417842865,
0.0045401533134281635,
0.08698387444019318,
0.04924018308520317,
0.09616772085428238,
0.009455615654587746,
0.10382665693759918,
0.0473112016916275,
-0.019237108528614044,
0.14075669646263123,
0.0498160757124424,
0.038049109280109406,
-0.03231912851333618,
-0.018530111759901047,
-0.10795751959085464,
-0.00802322942763567,
-0.01799328625202179,
0.02550458163022995,
-0.002193806692957878,
-0.023831337690353394,
0.04243570566177368,
0.058428723365068436,
0.016011182218790054,
0.025702329352498055,
0.07706760615110397,
-0.09034169465303421,
-0.025376828387379646,
-0.01331122126430273,
0.020009856671094894,
-0.00889679230749607,
-0.03759897127747536,
0.023571789264678955,
0.06051502376794815,
-0.034814249724149704,
0.06239164620637894,
-0.022605566307902336,
-0.00390208070166409,
0.016378026455640793,
-0.010778997093439102,
-0.007789766415953636,
0.08153484761714935,
-0.02769545279443264,
-0.03148329630494118,
-0.05137057602405548,
0.04136786609888077,
0.023600468412041664,
-0.035296909511089325,
-0.014934065751731396,
0.004599312786012888,
-0.042688559740781784,
0.05066254362463951,
0.08680382370948792,
-0.03727542608976364,
0.0113113047555089,
0.050177738070487976,
-0.051887623965740204,
-0.0967612937092781,
0.04055657610297203,
-0.021134028211236,
-0.036235347390174866,
0.06533919274806976,
-0.0958051010966301,
-0.003861076897010207,
-0.029719237238168716,
-0.023759962990880013,
-0.01519776787608862,
0.04433661699295044,
0.04200981929898262,
-0.13439220190048218,
0.0718984603881836,
-0.029032234102487564,
0.032414112240076065,
-0.01737477257847786,
-0.02972775511443615,
-0.06317315995693207,
-0.055692415684461594,
-0.014819731935858727,
0.004220258444547653,
-0.022576266899704933,
0.017024053260684013,
0.07449503242969513,
-0.04649221897125244,
0.0053329686634242535,
-0.01001051813364029,
-1.7511506484802625e-33,
-0.09961014986038208,
-0.07690358906984329,
-0.03842974454164505,
0.09804831445217133,
0.05045512318611145,
-0.032350052148103714,
-0.014633904211223125,
-0.028880463913083076,
0.023174915462732315,
-0.02821301855146885,
-0.06383673846721649,
0.03760873153805733,
0.04710967093706131,
-0.039261169731616974,
-0.05151289328932762,
-0.005264599341899157,
0.04069342091679573,
-0.0565793402493,
-0.020007368177175522,
-0.03828730806708336,
-0.005830641370266676,
0.0037415323313325644,
-0.03226587548851967,
0.042357187718153,
0.01595468819141388,
0.0011921009281650186,
-0.12308619171380997,
0.040388625115156174,
0.048083316534757614,
-0.10436641424894333,
-0.037417519837617874,
-0.005348298233002424,
-0.07972113788127899,
-0.05788107216358185,
0.07392482459545135,
0.0005802115192636847,
-0.019348226487636566,
0.08265994489192963,
-0.016579212620854378,
0.09962233901023865,
-0.036289334297180176,
0.006219233851879835,
-0.10078859329223633,
0.024879777804017067,
0.07159173488616943,
-0.010956126265227795,
0.03954863175749779,
-0.02427447959780693,
0.07159090042114258,
-0.021552681922912598,
0.03712725266814232,
0.03720256686210632,
0.07415833324193954,
0.0792052149772644,
-0.045772820711135864,
0.003848129650577903,
0.05504734441637993,
-0.03984412923455238,
0.14066359400749207,
-0.0032702467869967222,
0.004537730477750301,
0.043791916221380234,
-0.027081675827503204,
0.050357475876808167,
-0.023198997601866722,
-0.07218021154403687,
0.005978996865451336,
-0.07061447948217392,
0.06329382956027985,
-0.05182340741157532,
-0.01932304911315441,
-0.17396827042102814,
-0.07842184603214264,
-0.05812644585967064,
0.06916855275630951,
0.08005575090646744,
-0.023645075038075447,
0.02184608392417431,
0.0090218186378479,
0.09262857586145401,
0.018962174654006958,
0.028581678867340088,
0.0314556322991848,
-0.0738203302025795,
0.05517119914293289,
-0.026975052431225777,
0.00949101708829403,
0.013528634794056416,
-0.015928614884614944,
-0.0016227207379415631,
0.01686088554561138,
0.013145772740244865,
-0.0664721131324768,
0.0016126659465953708,
-0.050701770931482315,
-4.5419483285513707e-8,
0.03551700711250305,
-0.10915141552686691,
0.061353687196969986,
0.026686126366257668,
0.006943477783352137,
-0.008802132681012154,
0.05277135968208313,
-0.007595543749630451,
-0.1089819148182869,
0.009893092326819897,
0.029827093705534935,
0.07359416782855988,
-0.01586230844259262,
0.033984601497650146,
0.0037223247345536947,
0.05448739230632782,
0.0013167873257771134,
-0.05694616213440895,
0.012805595993995667,
0.04848848655819893,
-0.003869366832077503,
-0.01506523136049509,
0.019903702661395073,
-0.032355502247810364,
0.020872047170996666,
0.08171088993549347,
-0.0472019761800766,
0.04473090171813965,
-0.008645155467092991,
0.21007364988327026,
0.06533294916152954,
-0.06512323766946793,
-0.03341418132185936,
-0.03670189529657364,
-0.035095687955617905,
0.044064007699489594,
-0.05230191349983215,
-0.014401429332792759,
0.03472992777824402,
-0.10052935779094696,
0.020903918892145157,
-0.054625269025564194,
0.003182522254064679,
0.008941087871789932,
-0.007550422567874193,
-0.04806745424866676,
0.04048694670200348,
-0.13524045050144196,
-0.03772229701280594,
-0.022361455485224724,
-0.02841079980134964,
-0.05165496841073036,
0.036119963973760605,
0.0011117816902697086,
0.045968327671289444,
-0.06475754082202911,
0.0389968641102314,
-0.014735343866050243,
-0.018983518704771996,
0.0354672446846962,
0.1013694778084755,
0.04880192130804062,
-0.046492673456668854,
-0.020760787650942802
] |
1401.0340 | Ahmed El Shafie | Ahmed El Shafie | Optimal Random Access and Random Spectrum Sensing for an Energy
Harvesting Cognitive Radio with and without Primary Feedback Leveraging | ACCEPTED in EAI Endorsed Transactions on Cognitive Communications.
arXiv admin note: substantial text overlap with arXiv:1208.5659 | null | null | null | cs.IT cs.NI math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a secondary user (SU) with energy harvesting capability. We
design access schemes for the SU which incorporate random spectrum sensing and
random access, and which make use of the primary automatic repeat request (ARQ)
feedback. We study two problem-formulations. In the first problem-formulation,
we characterize the stability region of the proposed schemes. The sensing and
access probabilities are obtained such that the secondary throughput is
maximized under the constraints that both the primary and secondary queues are
stable. Whereas in the second problem-formulation, the sensing and access
probabilities are obtained such that the secondary throughput is maximized
under the stability of the primary queue and that the primary queueing delay is
kept lower than a specified value needed to guarantee a certain quality of
service (QoS) for the primary user (PU). We consider spectrum sensing errors
and assume multipacket reception (MPR) capabilities. Numerical results show the
enhanced performance of our proposed systems.
| [
{
"created": "Wed, 1 Jan 2014 22:08:31 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jan 2014 10:27:35 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Apr 2014 11:35:14 GMT",
"version": "v3"
}
] | 2014-04-29 | [
[
"Shafie",
"Ahmed El",
""
]
] | [
-0.0681486427783966,
0.0804978683590889,
-0.06081414967775345,
0.02591797150671482,
-0.08193212002515793,
-0.048134900629520416,
0.1476719081401825,
-0.05100395902991295,
0.03643520921468735,
0.059550002217292786,
-0.048305436968803406,
0.04953758791089058,
0.06204274296760559,
-0.03666963800787926,
0.016161084175109863,
0.01182588841766119,
0.18454717099666595,
-0.05614019185304642,
0.05376235023140907,
0.017350949347019196,
0.008852731436491013,
0.004651437047868967,
0.03838555887341499,
-0.006028641015291214,
0.006964479107409716,
-0.11178284883499146,
-0.016629688441753387,
0.006791597697883844,
0.03288310021162033,
0.01123275887221098,
0.013233579695224762,
-0.06999890506267548,
-0.021051349118351936,
-0.08658544719219208,
0.01611989736557007,
-0.009634985588490963,
-0.017794061452150345,
-0.0032131345942616463,
-0.028383152559399605,
0.035107389092445374,
-0.04146428406238556,
-0.01967635191977024,
-0.08620882034301758,
0.0551113523542881,
-0.10512803494930267,
-0.04807756096124649,
-0.006241327617317438,
0.020043527707457542,
0.04963802918791771,
-0.000560483371373266,
0.09101975709199905,
-0.007477355655282736,
0.0736694261431694,
0.035148777067661285,
0.06109403446316719,
0.02863558940589428,
-0.06020927429199219,
0.0072747706435620785,
0.002471295418217778,
0.02366778813302517,
-0.002608327427878976,
-0.08524878323078156,
-0.025092091411352158,
0.020721716806292534,
0.004868723917752504,
-0.0002832384780049324,
0.02268598973751068,
0.04244552552700043,
-0.005971488077193499,
-0.036385346204042435,
-0.0985909178853035,
-0.004049171227961779,
0.0049142418429255486,
-0.011764566414058208,
0.05956165865063667,
0.02759629674255848,
-0.07612328976392746,
-0.021574469283223152,
-0.034224849194288254,
0.024409731850028038,
0.0413297638297081,
0.053889911621809006,
-0.04521555081009865,
-0.09333071857690811,
-0.005833067931234837,
-0.054255418479442596,
-0.0052846153266727924,
0.0031420206651091576,
0.03568592295050621,
-0.10218223929405212,
0.03640662506222725,
0.05356718227267265,
0.00803501345217228,
0.11096286028623581,
-0.03149973228573799,
0.018129752948880196,
0.012296818196773529,
-0.08117540180683136,
-0.0031708315946161747,
0.014465553686022758,
0.02140090800821781,
-0.0373227521777153,
0.03212879225611687,
0.01300798263400793,
0.028179259970784187,
-0.06222648173570633,
-0.06403517723083496,
0.060537632554769516,
0.03535543382167816,
0.012159677222371101,
0.0092150354757905,
0.03773751109838486,
-0.005971367470920086,
0.09799884259700775,
-0.019214777275919914,
0.0908777043223381,
0.017797350883483887,
-0.003500542836263776,
-0.04424029961228371,
0.020532527938485146,
-0.0614621601998806,
-0.040524907410144806,
0.07158467173576355,
-0.048336029052734375,
0.10775075852870941,
0.04578481614589691,
0.08974458277225494,
-2.1253760708912534e-33,
-0.09047724306583405,
0.06202416121959686,
-0.006322816479951143,
-0.094130739569664,
0.009020916186273098,
-0.03865698724985123,
0.07467178255319595,
0.010327218100428581,
-0.008325195871293545,
-0.060730233788490295,
0.008309582248330116,
-0.04011710733175278,
0.05388237535953522,
-0.01706109382212162,
0.05520566552877426,
-0.01652531512081623,
0.04573553055524826,
-0.011952455155551434,
0.10586971044540405,
-0.08137527853250504,
0.021490518003702164,
-0.07111845165491104,
0.021711502224206924,
0.039955150336027145,
0.05163310468196869,
0.010618536733090878,
0.015911860391497612,
0.025614866986870766,
0.031181488186120987,
0.023710167035460472,
0.04478659853339195,
-0.0236048586666584,
0.02292633056640625,
-0.007790576200932264,
-0.029705127701163292,
0.04309926554560661,
0.09947404265403748,
0.01576422154903412,
-0.03316015750169754,
-0.052294716238975525,
-0.023911843076348305,
-0.0032676656264811754,
0.011725444346666336,
-0.003259930294007063,
-0.10717121511697769,
-0.10349003970623016,
0.06738094985485077,
-0.021873626857995987,
-0.08401507139205933,
0.015428481623530388,
-0.04971490800380707,
-0.016470283269882202,
-0.0033452468924224377,
0.060870472341775894,
0.061485983431339264,
-0.01789816841483116,
-0.023818230256438255,
0.02311914786696434,
0.025635752826929092,
0.10031069815158844,
-0.03559604287147522,
-0.023284388706088066,
0.041310809552669525,
-0.018957920372486115,
0.01789076253771782,
-0.00043393197120167315,
-0.002570053329691291,
-0.07614029198884964,
0.01852376200258732,
0.056019991636276245,
0.05233815312385559,
-0.021405808627605438,
0.04099874943494797,
-0.04485510289669037,
-0.005286481697112322,
0.023276053369045258,
-0.006077570375055075,
0.024823980405926704,
-0.048039812594652176,
0.01576976850628853,
-0.0430227667093277,
-0.005260694306343794,
-0.022964531555771828,
0.010510260239243507,
-0.07890620082616806,
-0.027011578902602196,
-0.010922986082732677,
-0.04118030518293381,
-0.050273261964321136,
0.06407932937145233,
-0.11828671395778656,
0.09801957756280899,
0.06614390015602112,
0.038164883852005005,
-0.03053211234509945,
9.190162689877458e-34,
0.0020454656332731247,
0.029067860916256905,
0.06955765187740326,
0.004310397431254387,
0.0465795062482357,
-0.019418107345700264,
-0.053887709975242615,
-0.034267958253622055,
-0.03630077838897705,
-0.04272975027561188,
-0.09678875654935837,
-0.0273838322609663,
0.04574235528707504,
0.06628864258527756,
0.03878852352499962,
0.004004146903753281,
-0.03208685666322708,
-0.045429594814777374,
0.011654405854642391,
0.041354089975357056,
0.000827095820568502,
0.04041748493909836,
-0.06756716966629028,
-0.04498222842812538,
0.07063654065132141,
0.03615599498152733,
-0.060641080141067505,
0.014415016397833824,
0.014054958708584309,
-0.045236364006996155,
-0.05952782928943634,
-0.09058854728937149,
0.05190418288111687,
-0.004645019304007292,
0.06501281261444092,
0.00824341457337141,
0.028345633298158646,
0.14983674883842468,
-0.03212355449795723,
0.1390666663646698,
0.05902954563498497,
-0.03983238711953163,
0.059726692736148834,
-0.03626832738518715,
0.008272171020507812,
-0.042500756680965424,
0.020419033244252205,
0.06779192388057709,
-0.07829636335372925,
-0.04637336730957031,
0.054334014654159546,
-0.040359579026699066,
-0.013461776077747345,
0.14010271430015564,
-0.002309256000444293,
-0.003116501495242119,
0.005135891493409872,
0.04501238837838173,
0.021693654358386993,
0.000012881047041446436,
0.08699677139520645,
-0.06594248861074448,
-0.011567112058401108,
0.034685954451560974,
0.0479593388736248,
-0.03890610486268997,
0.05217817798256874,
-0.07722679525613785,
0.004552849102765322,
0.045538511127233505,
-0.02794806845486164,
-0.01940837688744068,
0.01997007243335247,
0.024391157552599907,
0.06339527666568756,
0.06020664796233177,
-0.08381730318069458,
-0.10795868188142776,
-0.024455653503537178,
-0.030041197314858437,
-0.11137506365776062,
0.05998287722468376,
-0.03340885043144226,
-0.010952568612992764,
-0.01053034607321024,
-0.035001762211322784,
0.06972725689411163,
-0.07507344335317612,
0.04427912458777428,
-0.10148859024047852,
-0.035041119903326035,
0.02844405174255371,
-0.046310700476169586,
0.04639286547899246,
-0.02327321469783783,
-4.91195386587151e-8,
0.008357875980436802,
-0.00698678707703948,
-0.0031570896971970797,
-0.002667513443157077,
0.07025842368602753,
-0.0020336462184786797,
-0.01291634887456894,
-0.1535465568304062,
0.025297772139310837,
-0.019828010350465775,
-0.0002105934254359454,
-0.06091170385479927,
0.04271039739251137,
-0.0034101856872439384,
0.007391586899757385,
-0.013888089917600155,
-0.0016792633105069399,
-0.03065774030983448,
-0.010485776700079441,
-0.02675439417362213,
-0.027581924572587013,
0.0345437116920948,
0.03332982957363129,
-0.04715721309185028,
0.039629772305488586,
0.10048419237136841,
0.06859158724546432,
-0.04246828332543373,
0.057342980057001114,
0.010018231347203255,
-0.039389196783304214,
0.0049672117456793785,
0.06266141682863235,
0.008012109436094761,
-0.01638849452137947,
0.04742331802845001,
-0.06858590990304947,
-0.03511165454983711,
-0.002064002910628915,
0.042890239506959915,
0.05466678366065025,
-0.027336882427334785,
-0.03410828486084938,
0.007186605129390955,
-0.057446759194135666,
0.029880831018090248,
0.011102592572569847,
0.024767961353063583,
0.0015292969765141606,
0.04896307736635208,
-0.027352653443813324,
-0.09334234148263931,
0.00468213576823473,
-0.03126082569360733,
0.014958946965634823,
-0.05958406999707222,
0.010989250615239143,
-0.06047089397907257,
0.036847878247499466,
0.02219138666987419,
0.06537935882806778,
0.07292831689119339,
-0.15305578708648682,
0.01509886048734188
] | null | null | null | null | null | null | null | [
-0.0681486427783966,
0.0804978683590889,
-0.06081414967775345,
0.02591797150671482,
-0.08193212002515793,
-0.048134900629520416,
0.1476719081401825,
-0.05100395902991295,
0.03643520921468735,
0.059550002217292786,
-0.048305436968803406,
0.04953758791089058,
0.06204274296760559,
-0.03666963800787926,
0.016161084175109863,
0.01182588841766119,
0.18454717099666595,
-0.05614019185304642,
0.05376235023140907,
0.017350949347019196,
0.008852731436491013,
0.004651437047868967,
0.03838555887341499,
-0.006028641015291214,
0.006964479107409716,
-0.11178284883499146,
-0.016629688441753387,
0.006791597697883844,
0.03288310021162033,
0.01123275887221098,
0.013233579695224762,
-0.06999890506267548,
-0.021051349118351936,
-0.08658544719219208,
0.01611989736557007,
-0.009634985588490963,
-0.017794061452150345,
-0.0032131345942616463,
-0.028383152559399605,
0.035107389092445374,
-0.04146428406238556,
-0.01967635191977024,
-0.08620882034301758,
0.0551113523542881,
-0.10512803494930267,
-0.04807756096124649,
-0.006241327617317438,
0.020043527707457542,
0.04963802918791771,
-0.000560483371373266,
0.09101975709199905,
-0.007477355655282736,
0.0736694261431694,
0.035148777067661285,
0.06109403446316719,
0.02863558940589428,
-0.06020927429199219,
0.0072747706435620785,
0.002471295418217778,
0.02366778813302517,
-0.002608327427878976,
-0.08524878323078156,
-0.025092091411352158,
0.020721716806292534,
0.004868723917752504,
-0.0002832384780049324,
0.02268598973751068,
0.04244552552700043,
-0.005971488077193499,
-0.036385346204042435,
-0.0985909178853035,
-0.004049171227961779,
0.0049142418429255486,
-0.011764566414058208,
0.05956165865063667,
0.02759629674255848,
-0.07612328976392746,
-0.021574469283223152,
-0.034224849194288254,
0.024409731850028038,
0.0413297638297081,
0.053889911621809006,
-0.04521555081009865,
-0.09333071857690811,
-0.005833067931234837,
-0.054255418479442596,
-0.0052846153266727924,
0.0031420206651091576,
0.03568592295050621,
-0.10218223929405212,
0.03640662506222725,
0.05356718227267265,
0.00803501345217228,
0.11096286028623581,
-0.03149973228573799,
0.018129752948880196,
0.012296818196773529,
-0.08117540180683136,
-0.0031708315946161747,
0.014465553686022758,
0.02140090800821781,
-0.0373227521777153,
0.03212879225611687,
0.01300798263400793,
0.028179259970784187,
-0.06222648173570633,
-0.06403517723083496,
0.060537632554769516,
0.03535543382167816,
0.012159677222371101,
0.0092150354757905,
0.03773751109838486,
-0.005971367470920086,
0.09799884259700775,
-0.019214777275919914,
0.0908777043223381,
0.017797350883483887,
-0.003500542836263776,
-0.04424029961228371,
0.020532527938485146,
-0.0614621601998806,
-0.040524907410144806,
0.07158467173576355,
-0.048336029052734375,
0.10775075852870941,
0.04578481614589691,
0.08974458277225494,
-2.1253760708912534e-33,
-0.09047724306583405,
0.06202416121959686,
-0.006322816479951143,
-0.094130739569664,
0.009020916186273098,
-0.03865698724985123,
0.07467178255319595,
0.010327218100428581,
-0.008325195871293545,
-0.060730233788490295,
0.008309582248330116,
-0.04011710733175278,
0.05388237535953522,
-0.01706109382212162,
0.05520566552877426,
-0.01652531512081623,
0.04573553055524826,
-0.011952455155551434,
0.10586971044540405,
-0.08137527853250504,
0.021490518003702164,
-0.07111845165491104,
0.021711502224206924,
0.039955150336027145,
0.05163310468196869,
0.010618536733090878,
0.015911860391497612,
0.025614866986870766,
0.031181488186120987,
0.023710167035460472,
0.04478659853339195,
-0.0236048586666584,
0.02292633056640625,
-0.007790576200932264,
-0.029705127701163292,
0.04309926554560661,
0.09947404265403748,
0.01576422154903412,
-0.03316015750169754,
-0.052294716238975525,
-0.023911843076348305,
-0.0032676656264811754,
0.011725444346666336,
-0.003259930294007063,
-0.10717121511697769,
-0.10349003970623016,
0.06738094985485077,
-0.021873626857995987,
-0.08401507139205933,
0.015428481623530388,
-0.04971490800380707,
-0.016470283269882202,
-0.0033452468924224377,
0.060870472341775894,
0.061485983431339264,
-0.01789816841483116,
-0.023818230256438255,
0.02311914786696434,
0.025635752826929092,
0.10031069815158844,
-0.03559604287147522,
-0.023284388706088066,
0.041310809552669525,
-0.018957920372486115,
0.01789076253771782,
-0.00043393197120167315,
-0.002570053329691291,
-0.07614029198884964,
0.01852376200258732,
0.056019991636276245,
0.05233815312385559,
-0.021405808627605438,
0.04099874943494797,
-0.04485510289669037,
-0.005286481697112322,
0.023276053369045258,
-0.006077570375055075,
0.024823980405926704,
-0.048039812594652176,
0.01576976850628853,
-0.0430227667093277,
-0.005260694306343794,
-0.022964531555771828,
0.010510260239243507,
-0.07890620082616806,
-0.027011578902602196,
-0.010922986082732677,
-0.04118030518293381,
-0.050273261964321136,
0.06407932937145233,
-0.11828671395778656,
0.09801957756280899,
0.06614390015602112,
0.038164883852005005,
-0.03053211234509945,
9.190162689877458e-34,
0.0020454656332731247,
0.029067860916256905,
0.06955765187740326,
0.004310397431254387,
0.0465795062482357,
-0.019418107345700264,
-0.053887709975242615,
-0.034267958253622055,
-0.03630077838897705,
-0.04272975027561188,
-0.09678875654935837,
-0.0273838322609663,
0.04574235528707504,
0.06628864258527756,
0.03878852352499962,
0.004004146903753281,
-0.03208685666322708,
-0.045429594814777374,
0.011654405854642391,
0.041354089975357056,
0.000827095820568502,
0.04041748493909836,
-0.06756716966629028,
-0.04498222842812538,
0.07063654065132141,
0.03615599498152733,
-0.060641080141067505,
0.014415016397833824,
0.014054958708584309,
-0.045236364006996155,
-0.05952782928943634,
-0.09058854728937149,
0.05190418288111687,
-0.004645019304007292,
0.06501281261444092,
0.00824341457337141,
0.028345633298158646,
0.14983674883842468,
-0.03212355449795723,
0.1390666663646698,
0.05902954563498497,
-0.03983238711953163,
0.059726692736148834,
-0.03626832738518715,
0.008272171020507812,
-0.042500756680965424,
0.020419033244252205,
0.06779192388057709,
-0.07829636335372925,
-0.04637336730957031,
0.054334014654159546,
-0.040359579026699066,
-0.013461776077747345,
0.14010271430015564,
-0.002309256000444293,
-0.003116501495242119,
0.005135891493409872,
0.04501238837838173,
0.021693654358386993,
0.000012881047041446436,
0.08699677139520645,
-0.06594248861074448,
-0.011567112058401108,
0.034685954451560974,
0.0479593388736248,
-0.03890610486268997,
0.05217817798256874,
-0.07722679525613785,
0.004552849102765322,
0.045538511127233505,
-0.02794806845486164,
-0.01940837688744068,
0.01997007243335247,
0.024391157552599907,
0.06339527666568756,
0.06020664796233177,
-0.08381730318069458,
-0.10795868188142776,
-0.024455653503537178,
-0.030041197314858437,
-0.11137506365776062,
0.05998287722468376,
-0.03340885043144226,
-0.010952568612992764,
-0.01053034607321024,
-0.035001762211322784,
0.06972725689411163,
-0.07507344335317612,
0.04427912458777428,
-0.10148859024047852,
-0.035041119903326035,
0.02844405174255371,
-0.046310700476169586,
0.04639286547899246,
-0.02327321469783783,
-4.91195386587151e-8,
0.008357875980436802,
-0.00698678707703948,
-0.0031570896971970797,
-0.002667513443157077,
0.07025842368602753,
-0.0020336462184786797,
-0.01291634887456894,
-0.1535465568304062,
0.025297772139310837,
-0.019828010350465775,
-0.0002105934254359454,
-0.06091170385479927,
0.04271039739251137,
-0.0034101856872439384,
0.007391586899757385,
-0.013888089917600155,
-0.0016792633105069399,
-0.03065774030983448,
-0.010485776700079441,
-0.02675439417362213,
-0.027581924572587013,
0.0345437116920948,
0.03332982957363129,
-0.04715721309185028,
0.039629772305488586,
0.10048419237136841,
0.06859158724546432,
-0.04246828332543373,
0.057342980057001114,
0.010018231347203255,
-0.039389196783304214,
0.0049672117456793785,
0.06266141682863235,
0.008012109436094761,
-0.01638849452137947,
0.04742331802845001,
-0.06858590990304947,
-0.03511165454983711,
-0.002064002910628915,
0.042890239506959915,
0.05466678366065025,
-0.027336882427334785,
-0.03410828486084938,
0.007186605129390955,
-0.057446759194135666,
0.029880831018090248,
0.011102592572569847,
0.024767961353063583,
0.0015292969765141606,
0.04896307736635208,
-0.027352653443813324,
-0.09334234148263931,
0.00468213576823473,
-0.03126082569360733,
0.014958946965634823,
-0.05958406999707222,
0.010989250615239143,
-0.06047089397907257,
0.036847878247499466,
0.02219138666987419,
0.06537935882806778,
0.07292831689119339,
-0.15305578708648682,
0.01509886048734188
] |
1401.0346 | Dmitry Shcherbakov L | D. Shcherbakov, K. Motovilov, I. Erofeev, A. Astafiev | Optical control of cardiac cell excitability based on two-photon
infrared absorption of AzoTAB | null | null | null | null | physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent studies of AzoTAB activity in excitable cell cultures have shown that
this substance is able to control excitability depending on isomer, cis or
trans, predominating in the cellular membrane. Control of isomerization can be
performed noninvasively by UV-visual radiation. At the same time it is
well-known that azobenezenes can be effectively transformed from one isomer
into another by two-photon absorption. Current work is devoted to the study of
trans-AzoTAB two-photon transformation in aqueous solution and inside primal
neonatal contractive rat cardiomyocytes. In accordance with results obtained
Azo-TAB can be used as a probe for two-photon optical control of cardiac
excitability.
| [
{
"created": "Wed, 1 Jan 2014 22:52:18 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Shcherbakov",
"D.",
""
],
[
"Motovilov",
"K.",
""
],
[
"Erofeev",
"I.",
""
],
[
"Astafiev",
"A.",
""
]
] | [
0.01032557524740696,
-0.08187765628099442,
-0.07225963473320007,
0.06224392354488373,
-0.022682875394821167,
-0.02972654066979885,
0.07926397770643234,
0.023089351132512093,
0.0356750451028347,
0.05273626372218132,
0.020626787096261978,
-0.02402534708380699,
-0.03625411540269852,
0.10888992995023727,
0.037034451961517334,
0.050960153341293335,
-0.018891125917434692,
0.010314954444766045,
-0.012744741514325142,
0.04043148458003998,
-0.0015153709100559354,
-0.029905078932642937,
0.007095463573932648,
-0.06421750038862228,
-0.03514192998409271,
-0.025484155863523483,
-0.03399088606238365,
-0.02104630507528782,
0.004600269719958305,
0.003111099125817418,
0.07921742647886276,
-0.05700721964240074,
-0.02747253328561783,
-0.008021671324968338,
-0.04205407574772835,
-0.009247117675840855,
0.01939888298511505,
-0.10345208644866943,
-0.08864448219537735,
-0.07870998233556747,
0.06207532808184624,
0.0009442046284675598,
-0.06411314010620117,
-0.01738036796450615,
-0.0008105974993668497,
0.04509655386209488,
0.04308226704597473,
-0.040611542761325836,
-0.10013440251350403,
-0.011969760991632938,
-0.03779646009206772,
-0.02304251864552498,
-0.10536042600870132,
0.026476889848709106,
-0.011100576259195805,
0.07246469706296921,
-0.08661507070064545,
0.01352836936712265,
-0.0045155189000070095,
-0.07405441254377365,
0.007348212879151106,
0.04904284328222275,
0.015487469732761383,
-0.029964590445160866,
-0.005709384102374315,
-0.049571190029382706,
0.022516202181577682,
0.03715112805366516,
0.033179186284542084,
0.015084369108080864,
0.02542956732213497,
-0.036013174802064896,
0.05958176031708717,
0.0021125362254679203,
-0.0037754978984594345,
-0.008416480384767056,
0.020616894587874413,
0.07696973532438278,
-0.050528284162282944,
-0.025779370218515396,
0.039740826934576035,
-0.07879272848367691,
0.0167069248855114,
0.03700048848986626,
0.028547843918204308,
0.10029838234186172,
-0.004321617539972067,
0.0607185885310173,
-0.06762371212244034,
0.02409994788467884,
0.016582811251282692,
0.09959004819393158,
0.06450115144252777,
-0.028854768723249435,
0.0048835198394954205,
-0.1025586947798729,
-0.0053885318338871,
0.01235611829906702,
0.04428909346461296,
-0.03648955002427101,
0.08874157816171646,
0.027654429897665977,
-0.07158820331096649,
0.004190451465547085,
0.03209083899855614,
-0.06755002588033676,
0.07964304089546204,
0.02884793095290661,
-0.08707287162542343,
0.030437534675002098,
0.06550565361976624,
-0.0014798594638705254,
0.0231943242251873,
-0.014826261438429356,
0.06642164289951324,
0.09797296673059464,
-0.04428905248641968,
0.06437092274427414,
-0.0436897948384285,
0.06408362090587616,
-0.01939982920885086,
0.009313183836638927,
0.008065865375101566,
-0.038628123700618744,
-0.09695419669151306,
0.04238353297114372,
0.02444673888385296,
2.188677911050972e-33,
0.006298579275608063,
0.0573890246450901,
0.013737938366830349,
0.017189156264066696,
0.005248834379017353,
0.05048691853880882,
0.026165710762143135,
-0.08633538335561752,
-0.02678862400352955,
-0.023929251357913017,
-0.026167845353484154,
-0.0517810620367527,
0.02844890207052231,
0.07390134036540985,
0.015959033742547035,
-0.0580570213496685,
-0.11043182015419006,
-0.0003436569240875542,
0.04169075936079025,
0.03928724676370621,
0.04631708562374115,
-0.01325396727770567,
-0.03407564386725426,
-0.01070257555693388,
-0.0474868081510067,
0.05227157101035118,
-0.06881263852119446,
0.04802169278264046,
0.054395467042922974,
-0.020842405036091805,
-0.017885887995362282,
0.03322058543562889,
-0.08120042085647583,
-0.029605038464069366,
-0.0007674588705413043,
-0.0012517146533355117,
0.04063940793275833,
0.05561671778559685,
0.02283044345676899,
0.0626739114522934,
0.007015719544142485,
-0.028691794723272324,
-0.0018979170126840472,
0.04234322905540466,
0.046063609421253204,
0.01113294716924429,
-0.09037602692842484,
0.03977208212018013,
0.006551689002662897,
-0.0776037871837616,
-0.04430457204580307,
-0.11636621505022049,
0.01927364617586136,
-0.015975167974829674,
0.007012128364294767,
-0.0354301817715168,
-0.04363233968615532,
0.07457350194454193,
-0.013431870378553867,
-0.04093769192695618,
-0.04185613617300987,
-0.04654582217335701,
0.08613965660333633,
0.03006482496857643,
-0.018002571538090706,
0.04609154909849167,
-0.08592531830072403,
-0.04117418825626373,
-0.09344521164894104,
0.05399944260716438,
0.019810447469353676,
0.0100318044424057,
0.03272489830851555,
-0.10171794891357422,
0.04933863505721092,
0.0602598637342453,
0.03088843636214733,
0.043388236314058304,
-0.02625948190689087,
0.05429021269083023,
-0.05927930399775505,
0.05678094923496246,
-0.03367965668439865,
0.030035831034183502,
-0.035270657390356064,
-0.04813650622963905,
-0.01535109058022499,
0.0069031198509037495,
-0.07276454567909241,
0.06389681249856949,
0.10716501623392105,
0.018859723582863808,
0.004586540162563324,
-0.0765729621052742,
-0.01644895412027836,
-2.135247652044268e-33,
0.05199604481458664,
0.04514174535870552,
0.02191752754151821,
-0.027128973975777626,
0.03392918035387993,
0.05344264954328537,
0.029297398403286934,
-0.027400946244597435,
0.05647023767232895,
-0.0027580205351114273,
0.04057164862751961,
0.0908769965171814,
-0.05624138191342354,
-0.02866758592426777,
-0.10859658569097519,
-0.006283476483076811,
0.03949534147977829,
-0.02743823267519474,
0.10259444266557693,
-0.035668645054101944,
-0.11443933844566345,
0.044896773993968964,
-0.0001291436201427132,
0.07654917240142822,
0.018803991377353668,
0.060733210295438766,
0.004545232281088829,
-0.04092252999544144,
0.017737634479999542,
-0.02840818464756012,
0.05370565876364708,
-0.06426716595888138,
-0.04872795566916466,
-0.008449246175587177,
-0.004986940883100033,
0.056972697377204895,
0.046114347875118256,
0.02707716077566147,
-0.10736794024705887,
-0.0031764458399266005,
-0.006029326934367418,
0.028179261833429337,
0.017402801662683487,
0.06121097877621651,
-0.03229772299528122,
0.06431019306182861,
-0.0397842675447464,
-0.09751415997743607,
-0.12127568572759628,
-0.025639036670327187,
-0.0526079386472702,
0.0158800408244133,
-0.07317809760570526,
0.03238319978117943,
-0.014589994214475155,
0.028232824057340622,
0.03468351811170578,
0.08011376112699509,
-0.014165856875479221,
0.060161761939525604,
0.0015025672037154436,
0.0017953600035980344,
0.07579082250595093,
-0.1048538014292717,
0.05190865695476532,
0.0815790519118309,
0.09468001127243042,
0.07132036983966827,
-0.002708071144297719,
-0.02316308207809925,
0.12014612555503845,
0.04843403771519661,
-0.032816629856824875,
0.05714002996683121,
0.05783967301249504,
0.060923926532268524,
-0.02900948002934456,
-0.09480109810829163,
-0.12113678455352783,
-0.08047091215848923,
0.04776497185230255,
-0.048118069767951965,
-0.05000324174761772,
-0.05408477410674095,
0.024390213191509247,
-0.017517322674393654,
0.0013034401927143335,
0.015861673280596733,
-0.041149865835905075,
-0.04810801520943642,
0.009079148061573505,
-0.0642060860991478,
0.008635296486318111,
-0.02559872530400753,
0.07707115262746811,
-3.446107754712102e-8,
0.007850407622754574,
-0.08439703285694122,
0.008003734052181244,
-0.017393218353390694,
-0.12629587948322296,
-0.008268496952950954,
0.01614825800061226,
0.0017062346450984478,
-0.02584092691540718,
-0.0635378435254097,
-0.09303614497184753,
-0.0038545303978025913,
0.0772552415728569,
0.05523398146033287,
0.02724473923444748,
0.05458328127861023,
-0.005799844395369291,
-0.017717674374580383,
0.006435508839786053,
-0.06593503803014755,
-0.06982840597629547,
0.015989795327186584,
-0.04528949782252312,
-0.057707566767930984,
-0.03157028928399086,
0.02063792757689953,
0.051233477890491486,
-0.016547543928027153,
0.05004163086414337,
-0.054038818925619125,
0.1049693301320076,
0.02520192228257656,
0.09824778139591217,
0.07325467467308044,
-0.02974843420088291,
-0.058267850428819656,
-0.020436149090528488,
-0.04190696403384209,
-0.09286835044622421,
0.022089755162596703,
-0.03587824106216431,
0.03488927334547043,
-0.07581261545419693,
0.012102808803319931,
-0.046342480927705765,
-0.05845123901963234,
0.0424523651599884,
-0.02833412028849125,
-0.031334929168224335,
0.07252366840839386,
0.028335019946098328,
0.0784388929605484,
-0.007970440201461315,
-0.0009741063695400953,
-0.0644422322511673,
0.004179609939455986,
0.0016353792743757367,
0.06966468691825867,
0.026374738663434982,
0.0437965914607048,
0.007594528142362833,
0.006683547515422106,
0.06642064452171326,
-0.016837969422340393
] | null | null | null | null | null | null | null | [
0.01032557524740696,
-0.08187765628099442,
-0.07225963473320007,
0.06224392354488373,
-0.022682875394821167,
-0.02972654066979885,
0.07926397770643234,
0.023089351132512093,
0.0356750451028347,
0.05273626372218132,
0.020626787096261978,
-0.02402534708380699,
-0.03625411540269852,
0.10888992995023727,
0.037034451961517334,
0.050960153341293335,
-0.018891125917434692,
0.010314954444766045,
-0.012744741514325142,
0.04043148458003998,
-0.0015153709100559354,
-0.029905078932642937,
0.007095463573932648,
-0.06421750038862228,
-0.03514192998409271,
-0.025484155863523483,
-0.03399088606238365,
-0.02104630507528782,
0.004600269719958305,
0.003111099125817418,
0.07921742647886276,
-0.05700721964240074,
-0.02747253328561783,
-0.008021671324968338,
-0.04205407574772835,
-0.009247117675840855,
0.01939888298511505,
-0.10345208644866943,
-0.08864448219537735,
-0.07870998233556747,
0.06207532808184624,
0.0009442046284675598,
-0.06411314010620117,
-0.01738036796450615,
-0.0008105974993668497,
0.04509655386209488,
0.04308226704597473,
-0.040611542761325836,
-0.10013440251350403,
-0.011969760991632938,
-0.03779646009206772,
-0.02304251864552498,
-0.10536042600870132,
0.026476889848709106,
-0.011100576259195805,
0.07246469706296921,
-0.08661507070064545,
0.01352836936712265,
-0.0045155189000070095,
-0.07405441254377365,
0.007348212879151106,
0.04904284328222275,
0.015487469732761383,
-0.029964590445160866,
-0.005709384102374315,
-0.049571190029382706,
0.022516202181577682,
0.03715112805366516,
0.033179186284542084,
0.015084369108080864,
0.02542956732213497,
-0.036013174802064896,
0.05958176031708717,
0.0021125362254679203,
-0.0037754978984594345,
-0.008416480384767056,
0.020616894587874413,
0.07696973532438278,
-0.050528284162282944,
-0.025779370218515396,
0.039740826934576035,
-0.07879272848367691,
0.0167069248855114,
0.03700048848986626,
0.028547843918204308,
0.10029838234186172,
-0.004321617539972067,
0.0607185885310173,
-0.06762371212244034,
0.02409994788467884,
0.016582811251282692,
0.09959004819393158,
0.06450115144252777,
-0.028854768723249435,
0.0048835198394954205,
-0.1025586947798729,
-0.0053885318338871,
0.01235611829906702,
0.04428909346461296,
-0.03648955002427101,
0.08874157816171646,
0.027654429897665977,
-0.07158820331096649,
0.004190451465547085,
0.03209083899855614,
-0.06755002588033676,
0.07964304089546204,
0.02884793095290661,
-0.08707287162542343,
0.030437534675002098,
0.06550565361976624,
-0.0014798594638705254,
0.0231943242251873,
-0.014826261438429356,
0.06642164289951324,
0.09797296673059464,
-0.04428905248641968,
0.06437092274427414,
-0.0436897948384285,
0.06408362090587616,
-0.01939982920885086,
0.009313183836638927,
0.008065865375101566,
-0.038628123700618744,
-0.09695419669151306,
0.04238353297114372,
0.02444673888385296,
2.188677911050972e-33,
0.006298579275608063,
0.0573890246450901,
0.013737938366830349,
0.017189156264066696,
0.005248834379017353,
0.05048691853880882,
0.026165710762143135,
-0.08633538335561752,
-0.02678862400352955,
-0.023929251357913017,
-0.026167845353484154,
-0.0517810620367527,
0.02844890207052231,
0.07390134036540985,
0.015959033742547035,
-0.0580570213496685,
-0.11043182015419006,
-0.0003436569240875542,
0.04169075936079025,
0.03928724676370621,
0.04631708562374115,
-0.01325396727770567,
-0.03407564386725426,
-0.01070257555693388,
-0.0474868081510067,
0.05227157101035118,
-0.06881263852119446,
0.04802169278264046,
0.054395467042922974,
-0.020842405036091805,
-0.017885887995362282,
0.03322058543562889,
-0.08120042085647583,
-0.029605038464069366,
-0.0007674588705413043,
-0.0012517146533355117,
0.04063940793275833,
0.05561671778559685,
0.02283044345676899,
0.0626739114522934,
0.007015719544142485,
-0.028691794723272324,
-0.0018979170126840472,
0.04234322905540466,
0.046063609421253204,
0.01113294716924429,
-0.09037602692842484,
0.03977208212018013,
0.006551689002662897,
-0.0776037871837616,
-0.04430457204580307,
-0.11636621505022049,
0.01927364617586136,
-0.015975167974829674,
0.007012128364294767,
-0.0354301817715168,
-0.04363233968615532,
0.07457350194454193,
-0.013431870378553867,
-0.04093769192695618,
-0.04185613617300987,
-0.04654582217335701,
0.08613965660333633,
0.03006482496857643,
-0.018002571538090706,
0.04609154909849167,
-0.08592531830072403,
-0.04117418825626373,
-0.09344521164894104,
0.05399944260716438,
0.019810447469353676,
0.0100318044424057,
0.03272489830851555,
-0.10171794891357422,
0.04933863505721092,
0.0602598637342453,
0.03088843636214733,
0.043388236314058304,
-0.02625948190689087,
0.05429021269083023,
-0.05927930399775505,
0.05678094923496246,
-0.03367965668439865,
0.030035831034183502,
-0.035270657390356064,
-0.04813650622963905,
-0.01535109058022499,
0.0069031198509037495,
-0.07276454567909241,
0.06389681249856949,
0.10716501623392105,
0.018859723582863808,
0.004586540162563324,
-0.0765729621052742,
-0.01644895412027836,
-2.135247652044268e-33,
0.05199604481458664,
0.04514174535870552,
0.02191752754151821,
-0.027128973975777626,
0.03392918035387993,
0.05344264954328537,
0.029297398403286934,
-0.027400946244597435,
0.05647023767232895,
-0.0027580205351114273,
0.04057164862751961,
0.0908769965171814,
-0.05624138191342354,
-0.02866758592426777,
-0.10859658569097519,
-0.006283476483076811,
0.03949534147977829,
-0.02743823267519474,
0.10259444266557693,
-0.035668645054101944,
-0.11443933844566345,
0.044896773993968964,
-0.0001291436201427132,
0.07654917240142822,
0.018803991377353668,
0.060733210295438766,
0.004545232281088829,
-0.04092252999544144,
0.017737634479999542,
-0.02840818464756012,
0.05370565876364708,
-0.06426716595888138,
-0.04872795566916466,
-0.008449246175587177,
-0.004986940883100033,
0.056972697377204895,
0.046114347875118256,
0.02707716077566147,
-0.10736794024705887,
-0.0031764458399266005,
-0.006029326934367418,
0.028179261833429337,
0.017402801662683487,
0.06121097877621651,
-0.03229772299528122,
0.06431019306182861,
-0.0397842675447464,
-0.09751415997743607,
-0.12127568572759628,
-0.025639036670327187,
-0.0526079386472702,
0.0158800408244133,
-0.07317809760570526,
0.03238319978117943,
-0.014589994214475155,
0.028232824057340622,
0.03468351811170578,
0.08011376112699509,
-0.014165856875479221,
0.060161761939525604,
0.0015025672037154436,
0.0017953600035980344,
0.07579082250595093,
-0.1048538014292717,
0.05190865695476532,
0.0815790519118309,
0.09468001127243042,
0.07132036983966827,
-0.002708071144297719,
-0.02316308207809925,
0.12014612555503845,
0.04843403771519661,
-0.032816629856824875,
0.05714002996683121,
0.05783967301249504,
0.060923926532268524,
-0.02900948002934456,
-0.09480109810829163,
-0.12113678455352783,
-0.08047091215848923,
0.04776497185230255,
-0.048118069767951965,
-0.05000324174761772,
-0.05408477410674095,
0.024390213191509247,
-0.017517322674393654,
0.0013034401927143335,
0.015861673280596733,
-0.041149865835905075,
-0.04810801520943642,
0.009079148061573505,
-0.0642060860991478,
0.008635296486318111,
-0.02559872530400753,
0.07707115262746811,
-3.446107754712102e-8,
0.007850407622754574,
-0.08439703285694122,
0.008003734052181244,
-0.017393218353390694,
-0.12629587948322296,
-0.008268496952950954,
0.01614825800061226,
0.0017062346450984478,
-0.02584092691540718,
-0.0635378435254097,
-0.09303614497184753,
-0.0038545303978025913,
0.0772552415728569,
0.05523398146033287,
0.02724473923444748,
0.05458328127861023,
-0.005799844395369291,
-0.017717674374580383,
0.006435508839786053,
-0.06593503803014755,
-0.06982840597629547,
0.015989795327186584,
-0.04528949782252312,
-0.057707566767930984,
-0.03157028928399086,
0.02063792757689953,
0.051233477890491486,
-0.016547543928027153,
0.05004163086414337,
-0.054038818925619125,
0.1049693301320076,
0.02520192228257656,
0.09824778139591217,
0.07325467467308044,
-0.02974843420088291,
-0.058267850428819656,
-0.020436149090528488,
-0.04190696403384209,
-0.09286835044622421,
0.022089755162596703,
-0.03587824106216431,
0.03488927334547043,
-0.07581261545419693,
0.012102808803319931,
-0.046342480927705765,
-0.05845123901963234,
0.0424523651599884,
-0.02833412028849125,
-0.031334929168224335,
0.07252366840839386,
0.028335019946098328,
0.0784388929605484,
-0.007970440201461315,
-0.0009741063695400953,
-0.0644422322511673,
0.004179609939455986,
0.0016353792743757367,
0.06966468691825867,
0.026374738663434982,
0.0437965914607048,
0.007594528142362833,
0.006683547515422106,
0.06642064452171326,
-0.016837969422340393
] |
1401.0347 | Rodrigo de Lamare | Peng Li and Rodrigo C. de Lamare | Distributed Iterative Detection Based on Reduced Message Passing for
Networked MIMO Cellular Systems | 9 pages, 6 figures. IEEE Transactions on Vehicular Technology, 2014 | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper considers base station cooperation (BSC) strategies for the uplink
of a multi-user multi-cell high frequency reuse scenario where distributed
iterative detection (DID) schemes with soft/hard interference cancellation
algorithms are studied. The conventional distributed detection scheme exchanges
{soft symbol estimates} with all cooperating BSs. Since a large amount of
information needs to be shared via the backhaul, the exchange of hard bit
information is preferred, however a performance degradation is experienced. In
this paper, we consider a reduced message passing (RMP) technique in which each
BS generates a detection list with the probabilities for the desired symbol
that are sorted according to the calculated probability. The network then
selects the best {detection candidates} from the lists and conveys the index of
the constellation symbols (instead of double-precision values) among the
cooperating cells. The proposed DID-RMP achieves an inter-cell-interference
(ICI) suppression with low backhaul traffic overhead compared with {the
conventional soft bit exchange} and outperforms the previously reported
hard/soft information exchange algorithms.
| [
{
"created": "Wed, 1 Jan 2014 23:10:48 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Li",
"Peng",
""
],
[
"de Lamare",
"Rodrigo C.",
""
]
] | [
0.03527113050222397,
0.023011162877082825,
0.016115348786115646,
-0.0184855367988348,
-0.052264705300331116,
-0.004564948379993439,
0.05898318067193031,
0.0036137516144663095,
0.007378833368420601,
0.03327225521206856,
-0.09962514042854309,
0.10111309587955475,
0.0961565226316452,
-0.015327969565987587,
-0.0485515333712101,
0.0062787095084786415,
0.12663879990577698,
0.01012274157255888,
-0.010637026280164719,
-0.016461044549942017,
0.020533425733447075,
-0.04341668635606766,
-0.007134867366403341,
0.001440813415683806,
0.047942936420440674,
-0.04361462965607643,
-0.01681889407336712,
-0.005393476691097021,
-0.018042203038930893,
-0.04559115320444107,
-0.07064995169639587,
0.03914260491728783,
0.07319490611553192,
-0.017185557633638382,
-0.1202266663312912,
-0.018820006400346756,
0.021322565153241158,
0.051574237644672394,
0.08976477384567261,
-0.0032028413843363523,
-0.015235030092298985,
0.050657402724027634,
-0.045813750475645065,
-0.02067471295595169,
-0.022457541897892952,
-0.009426332078874111,
0.007899889722466469,
0.017758173868060112,
-0.00040835142135620117,
-0.04633693769574165,
0.08766764402389526,
0.042002543807029724,
0.014891030266880989,
0.0706438273191452,
0.07818921655416489,
-0.025275476276874542,
-0.08148631453514099,
0.07068350166082382,
0.02938288077712059,
0.08549240976572037,
-0.004490203689783812,
-0.027586806565523148,
0.042813804000616074,
-0.005020135547965765,
-0.008385306224226952,
-0.0408371239900589,
0.03684387356042862,
0.10150022804737091,
-0.022075999528169632,
-0.015485057607293129,
0.0047116815112531185,
0.033258434385061264,
-0.06560059636831284,
0.041760120540857315,
0.05425315722823143,
0.06146542355418205,
0.0030590451788157225,
-0.011180100031197071,
0.04598183184862137,
0.028102125972509384,
-0.03692523017525673,
0.015795649960637093,
0.05951978638768196,
-0.10731568932533264,
0.11574181169271469,
-0.06472755968570709,
-0.05729333311319351,
0.033719949424266815,
0.014131310395896435,
-0.08177414536476135,
-0.05491448938846588,
0.020744193345308304,
0.011832314543426037,
0.06681758910417557,
-0.03297329694032669,
0.03725501149892807,
-0.017832299694418907,
0.012169779278337955,
-0.024636680260300636,
0.057283807545900345,
-0.007062856573611498,
-0.013262446969747543,
0.03031560778617859,
-0.10437087714672089,
0.0447269007563591,
-0.026231588795781136,
0.07515942305326462,
-0.0013175681233406067,
0.03517830744385719,
-0.054502375423908234,
-0.0688827633857727,
0.0753958448767662,
-0.048373881727457047,
0.04607337340712547,
-0.1268775463104248,
0.08552800118923187,
0.004839388187974691,
-0.004000650718808174,
0.051234446465969086,
-0.07740514725446701,
-0.08485298603773117,
-0.14183756709098816,
0.0673803761601448,
0.02884422056376934,
0.034123361110687256,
0.05489865317940712,
-0.009378601796925068,
9.294769748486141e-34,
-0.10600540786981583,
0.06871652603149414,
-0.05447108671069145,
-0.024737823754549026,
-0.01109207235276699,
-0.008397562429308891,
-0.05359135568141937,
0.05773785710334778,
0.00199772696942091,
0.05652834102511406,
-0.022022686898708344,
0.08682337403297424,
0.04803837090730667,
-0.018042651936411858,
0.06374809890985489,
-0.04447123780846596,
0.011625485494732857,
-0.0619431734085083,
-0.019696557894349098,
-0.039415378123521805,
0.0017316092271357775,
-0.06151878088712692,
-0.041533343493938446,
-0.04645126312971115,
0.0621139332652092,
0.0012739903759211302,
0.0027644168585538864,
-0.10851685702800751,
0.14974799752235413,
0.020113656297326088,
0.007391759194433689,
-0.02275269106030464,
0.07465405762195587,
0.05911020189523697,
0.013804104179143906,
0.04171774163842201,
-0.05740885064005852,
-0.0023336149752140045,
-0.014699865132570267,
0.04182001203298569,
-0.008664343506097794,
-0.022695234045386314,
-0.0887969359755516,
-0.09730050712823868,
0.021934209391474724,
-0.05094940587878227,
-0.055630676448345184,
0.017416736111044884,
-0.02532009221613407,
0.003690928453579545,
0.026822587475180626,
0.010226686485111713,
-0.05464233458042145,
-0.00007918417395558208,
0.06427012383937836,
0.021520448848605156,
-0.007420571055263281,
0.04028740152716637,
0.05234946683049202,
0.16579006612300873,
-0.015165448188781738,
-0.03136105090379715,
-0.0036191365215927362,
0.1286250799894333,
0.035295166075229645,
0.007237362675368786,
-0.041651610285043716,
-0.043763745576143265,
-0.01254945807158947,
0.0075456793420016766,
0.03487090766429901,
-0.018357791006565094,
0.017350081354379654,
-0.06552869081497192,
-0.030904637649655342,
0.0025446764193475246,
0.03335688263177872,
-0.010896792635321617,
0.02612130716443062,
0.010348444804549217,
0.0011033696355298162,
-0.031634021550416946,
-0.02396778017282486,
0.004832293838262558,
0.01759081520140171,
0.05816807597875595,
-0.058241698890924454,
0.009516984224319458,
-0.1031450480222702,
0.07736364006996155,
-0.04817672446370125,
-0.022278228774666786,
0.019112860783934593,
0.031738121062517166,
-0.005315354093909264,
-1.5837606202651533e-33,
-0.012593710795044899,
0.058967478573322296,
0.027750935405492783,
-0.02652714215219021,
0.014425634406507015,
-0.02509516477584839,
0.04014549404382706,
-0.10599682480096817,
-0.026435626670718193,
0.005350606516003609,
-0.041069336235523224,
-0.006502699572592974,
0.001338429981842637,
0.0446501299738884,
0.07258808612823486,
-0.034121159464120865,
-0.008915586397051811,
0.0856638252735138,
-0.07544676214456558,
-0.018417034298181534,
-0.02931186370551586,
0.038508620113134384,
0.004254435189068317,
-0.012152299284934998,
-0.01795615814626217,
0.06207604333758354,
-0.08314528316259384,
0.048479113727808,
0.10411005467176437,
-0.026639685034751892,
-0.04648812115192413,
-0.05285441130399704,
0.06385424733161926,
0.0005779161583632231,
0.06667698174715042,
0.012607019394636154,
0.011713175103068352,
0.09001778811216354,
-0.01037581730633974,
0.046671610325574875,
0.06539399176836014,
-0.0075207725167274475,
-0.1696915477514267,
0.02251136116683483,
0.03908112645149231,
-0.010710135102272034,
-0.1582266092300415,
0.03605211153626442,
0.0007289586937986314,
-0.02782585285604,
0.04448305070400238,
-0.042267367243766785,
-0.004794685635715723,
0.0304974764585495,
-0.03307895362377167,
0.04152964428067207,
0.0295180082321167,
0.12299153953790665,
0.027154134586453438,
0.02453535608947277,
0.03583573177456856,
-0.08241531997919083,
0.009126218035817146,
0.005328166298568249,
0.03520384803414345,
0.025996776297688484,
0.031023960560560226,
-0.0385252982378006,
-0.03250546380877495,
0.1017436534166336,
-0.0025201644748449326,
0.026241177693009377,
-0.050209976732730865,
-0.02353360690176487,
0.024497445672750473,
0.09011612832546234,
-0.061082519590854645,
-0.04954802617430687,
-0.013579627498984337,
0.012780334800481796,
-0.05299236252903938,
0.04537615552544594,
-0.03801628202199936,
0.029677554965019226,
0.018389372155070305,
-0.031136859208345413,
0.026432784274220467,
0.003973286598920822,
-0.0273896437138319,
-0.04981967806816101,
-0.009530842304229736,
-0.0027745687402784824,
0.008409669622778893,
0.01858840323984623,
-0.08915327489376068,
-5.396033131432887e-8,
0.00939065869897604,
-0.027104444801807404,
-0.020652441307902336,
-0.08512314409017563,
0.06247907504439354,
-0.02121172472834587,
-0.08211412280797958,
-0.037224508821964264,
0.00719104940071702,
-0.057770829647779465,
-0.020358726382255554,
-0.03784211352467537,
-0.045235972851514816,
0.005183074623346329,
0.08572331070899963,
-0.011560565792024136,
-0.06789477914571762,
-0.12494749575853348,
-0.018880458548665047,
0.04666948691010475,
-0.007684394717216492,
0.019877322018146515,
0.003847421845421195,
0.06482914090156555,
-0.010765619575977325,
0.0023931635078042746,
0.03432001918554306,
0.048016257584095,
0.07717325538396835,
-0.06176433339715004,
0.002557789906859398,
-0.004167706705629826,
0.013670885004103184,
0.06598946452140808,
-0.05564408376812935,
0.053591590374708176,
0.06124856323003769,
-0.0523533932864666,
0.007634954061359167,
0.06219692900776863,
0.002078412100672722,
-0.044252973049879074,
-0.01977452076971531,
0.0366298072040081,
0.058157891035079956,
-0.012768327258527279,
0.015259511768817902,
-0.0367320291697979,
-0.011375505477190018,
-0.06254822015762329,
-0.06541448831558228,
0.020778272300958633,
-0.03743477165699005,
-0.02384672686457634,
-0.06533774733543396,
-0.03068339265882969,
-0.011296684853732586,
-0.062339577823877335,
0.08907006680965424,
-0.0075091044418513775,
-0.010209816507995129,
0.0027804772835224867,
-0.13719841837882996,
-0.030952882021665573
] | null | null | null | null | null | null | null | [
0.03527113050222397,
0.023011162877082825,
0.016115348786115646,
-0.0184855367988348,
-0.052264705300331116,
-0.004564948379993439,
0.05898318067193031,
0.0036137516144663095,
0.007378833368420601,
0.03327225521206856,
-0.09962514042854309,
0.10111309587955475,
0.0961565226316452,
-0.015327969565987587,
-0.0485515333712101,
0.0062787095084786415,
0.12663879990577698,
0.01012274157255888,
-0.010637026280164719,
-0.016461044549942017,
0.020533425733447075,
-0.04341668635606766,
-0.007134867366403341,
0.001440813415683806,
0.047942936420440674,
-0.04361462965607643,
-0.01681889407336712,
-0.005393476691097021,
-0.018042203038930893,
-0.04559115320444107,
-0.07064995169639587,
0.03914260491728783,
0.07319490611553192,
-0.017185557633638382,
-0.1202266663312912,
-0.018820006400346756,
0.021322565153241158,
0.051574237644672394,
0.08976477384567261,
-0.0032028413843363523,
-0.015235030092298985,
0.050657402724027634,
-0.045813750475645065,
-0.02067471295595169,
-0.022457541897892952,
-0.009426332078874111,
0.007899889722466469,
0.017758173868060112,
-0.00040835142135620117,
-0.04633693769574165,
0.08766764402389526,
0.042002543807029724,
0.014891030266880989,
0.0706438273191452,
0.07818921655416489,
-0.025275476276874542,
-0.08148631453514099,
0.07068350166082382,
0.02938288077712059,
0.08549240976572037,
-0.004490203689783812,
-0.027586806565523148,
0.042813804000616074,
-0.005020135547965765,
-0.008385306224226952,
-0.0408371239900589,
0.03684387356042862,
0.10150022804737091,
-0.022075999528169632,
-0.015485057607293129,
0.0047116815112531185,
0.033258434385061264,
-0.06560059636831284,
0.041760120540857315,
0.05425315722823143,
0.06146542355418205,
0.0030590451788157225,
-0.011180100031197071,
0.04598183184862137,
0.028102125972509384,
-0.03692523017525673,
0.015795649960637093,
0.05951978638768196,
-0.10731568932533264,
0.11574181169271469,
-0.06472755968570709,
-0.05729333311319351,
0.033719949424266815,
0.014131310395896435,
-0.08177414536476135,
-0.05491448938846588,
0.020744193345308304,
0.011832314543426037,
0.06681758910417557,
-0.03297329694032669,
0.03725501149892807,
-0.017832299694418907,
0.012169779278337955,
-0.024636680260300636,
0.057283807545900345,
-0.007062856573611498,
-0.013262446969747543,
0.03031560778617859,
-0.10437087714672089,
0.0447269007563591,
-0.026231588795781136,
0.07515942305326462,
-0.0013175681233406067,
0.03517830744385719,
-0.054502375423908234,
-0.0688827633857727,
0.0753958448767662,
-0.048373881727457047,
0.04607337340712547,
-0.1268775463104248,
0.08552800118923187,
0.004839388187974691,
-0.004000650718808174,
0.051234446465969086,
-0.07740514725446701,
-0.08485298603773117,
-0.14183756709098816,
0.0673803761601448,
0.02884422056376934,
0.034123361110687256,
0.05489865317940712,
-0.009378601796925068,
9.294769748486141e-34,
-0.10600540786981583,
0.06871652603149414,
-0.05447108671069145,
-0.024737823754549026,
-0.01109207235276699,
-0.008397562429308891,
-0.05359135568141937,
0.05773785710334778,
0.00199772696942091,
0.05652834102511406,
-0.022022686898708344,
0.08682337403297424,
0.04803837090730667,
-0.018042651936411858,
0.06374809890985489,
-0.04447123780846596,
0.011625485494732857,
-0.0619431734085083,
-0.019696557894349098,
-0.039415378123521805,
0.0017316092271357775,
-0.06151878088712692,
-0.041533343493938446,
-0.04645126312971115,
0.0621139332652092,
0.0012739903759211302,
0.0027644168585538864,
-0.10851685702800751,
0.14974799752235413,
0.020113656297326088,
0.007391759194433689,
-0.02275269106030464,
0.07465405762195587,
0.05911020189523697,
0.013804104179143906,
0.04171774163842201,
-0.05740885064005852,
-0.0023336149752140045,
-0.014699865132570267,
0.04182001203298569,
-0.008664343506097794,
-0.022695234045386314,
-0.0887969359755516,
-0.09730050712823868,
0.021934209391474724,
-0.05094940587878227,
-0.055630676448345184,
0.017416736111044884,
-0.02532009221613407,
0.003690928453579545,
0.026822587475180626,
0.010226686485111713,
-0.05464233458042145,
-0.00007918417395558208,
0.06427012383937836,
0.021520448848605156,
-0.007420571055263281,
0.04028740152716637,
0.05234946683049202,
0.16579006612300873,
-0.015165448188781738,
-0.03136105090379715,
-0.0036191365215927362,
0.1286250799894333,
0.035295166075229645,
0.007237362675368786,
-0.041651610285043716,
-0.043763745576143265,
-0.01254945807158947,
0.0075456793420016766,
0.03487090766429901,
-0.018357791006565094,
0.017350081354379654,
-0.06552869081497192,
-0.030904637649655342,
0.0025446764193475246,
0.03335688263177872,
-0.010896792635321617,
0.02612130716443062,
0.010348444804549217,
0.0011033696355298162,
-0.031634021550416946,
-0.02396778017282486,
0.004832293838262558,
0.01759081520140171,
0.05816807597875595,
-0.058241698890924454,
0.009516984224319458,
-0.1031450480222702,
0.07736364006996155,
-0.04817672446370125,
-0.022278228774666786,
0.019112860783934593,
0.031738121062517166,
-0.005315354093909264,
-1.5837606202651533e-33,
-0.012593710795044899,
0.058967478573322296,
0.027750935405492783,
-0.02652714215219021,
0.014425634406507015,
-0.02509516477584839,
0.04014549404382706,
-0.10599682480096817,
-0.026435626670718193,
0.005350606516003609,
-0.041069336235523224,
-0.006502699572592974,
0.001338429981842637,
0.0446501299738884,
0.07258808612823486,
-0.034121159464120865,
-0.008915586397051811,
0.0856638252735138,
-0.07544676214456558,
-0.018417034298181534,
-0.02931186370551586,
0.038508620113134384,
0.004254435189068317,
-0.012152299284934998,
-0.01795615814626217,
0.06207604333758354,
-0.08314528316259384,
0.048479113727808,
0.10411005467176437,
-0.026639685034751892,
-0.04648812115192413,
-0.05285441130399704,
0.06385424733161926,
0.0005779161583632231,
0.06667698174715042,
0.012607019394636154,
0.011713175103068352,
0.09001778811216354,
-0.01037581730633974,
0.046671610325574875,
0.06539399176836014,
-0.0075207725167274475,
-0.1696915477514267,
0.02251136116683483,
0.03908112645149231,
-0.010710135102272034,
-0.1582266092300415,
0.03605211153626442,
0.0007289586937986314,
-0.02782585285604,
0.04448305070400238,
-0.042267367243766785,
-0.004794685635715723,
0.0304974764585495,
-0.03307895362377167,
0.04152964428067207,
0.0295180082321167,
0.12299153953790665,
0.027154134586453438,
0.02453535608947277,
0.03583573177456856,
-0.08241531997919083,
0.009126218035817146,
0.005328166298568249,
0.03520384803414345,
0.025996776297688484,
0.031023960560560226,
-0.0385252982378006,
-0.03250546380877495,
0.1017436534166336,
-0.0025201644748449326,
0.026241177693009377,
-0.050209976732730865,
-0.02353360690176487,
0.024497445672750473,
0.09011612832546234,
-0.061082519590854645,
-0.04954802617430687,
-0.013579627498984337,
0.012780334800481796,
-0.05299236252903938,
0.04537615552544594,
-0.03801628202199936,
0.029677554965019226,
0.018389372155070305,
-0.031136859208345413,
0.026432784274220467,
0.003973286598920822,
-0.0273896437138319,
-0.04981967806816101,
-0.009530842304229736,
-0.0027745687402784824,
0.008409669622778893,
0.01858840323984623,
-0.08915327489376068,
-5.396033131432887e-8,
0.00939065869897604,
-0.027104444801807404,
-0.020652441307902336,
-0.08512314409017563,
0.06247907504439354,
-0.02121172472834587,
-0.08211412280797958,
-0.037224508821964264,
0.00719104940071702,
-0.057770829647779465,
-0.020358726382255554,
-0.03784211352467537,
-0.045235972851514816,
0.005183074623346329,
0.08572331070899963,
-0.011560565792024136,
-0.06789477914571762,
-0.12494749575853348,
-0.018880458548665047,
0.04666948691010475,
-0.007684394717216492,
0.019877322018146515,
0.003847421845421195,
0.06482914090156555,
-0.010765619575977325,
0.0023931635078042746,
0.03432001918554306,
0.048016257584095,
0.07717325538396835,
-0.06176433339715004,
0.002557789906859398,
-0.004167706705629826,
0.013670885004103184,
0.06598946452140808,
-0.05564408376812935,
0.053591590374708176,
0.06124856323003769,
-0.0523533932864666,
0.007634954061359167,
0.06219692900776863,
0.002078412100672722,
-0.044252973049879074,
-0.01977452076971531,
0.0366298072040081,
0.058157891035079956,
-0.012768327258527279,
0.015259511768817902,
-0.0367320291697979,
-0.011375505477190018,
-0.06254822015762329,
-0.06541448831558228,
0.020778272300958633,
-0.03743477165699005,
-0.02384672686457634,
-0.06533774733543396,
-0.03068339265882969,
-0.011296684853732586,
-0.062339577823877335,
0.08907006680965424,
-0.0075091044418513775,
-0.010209816507995129,
0.0027804772835224867,
-0.13719841837882996,
-0.030952882021665573
] |
1401.0348 | Henry Cohn | Nir Bitansky, Ran Canetti, Henry Cohn, Shafi Goldwasser, Yael Tauman
Kalai, Omer Paneth, Alon Rosen | The impossibility of obfuscation with auxiliary input or a universal
simulator | 19 pages | null | null | null | cs.CR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show that the existence of general indistinguishability
obfuscators conjectured in a few recent works implies, somewhat
counterintuitively, strong impossibility results for virtual black box
obfuscation. In particular, we show that indistinguishability obfuscation for
all circuits implies:
* The impossibility of average-case virtual black box obfuscation with
auxiliary input for any circuit family with super-polynomial pseudo-entropy.
Such circuit families include all pseudo-random function families, and all
families of encryption algorithms and randomized digital signatures that
generate their required coin flips pseudo-randomly. Impossibility holds even
when the auxiliary input depends only on the public circuit family, and not the
specific circuit in the family being obfuscated.
* The impossibility of average-case virtual black box obfuscation with a
universal simulator (with or without any auxiliary input) for any circuit
family with super-polynomial pseudo-entropy.
These bounds significantly strengthen the impossibility results of Goldwasser
and Kalai (STOC 2005).
| [
{
"created": "Wed, 1 Jan 2014 23:18:36 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jan 2014 03:47:42 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Feb 2014 04:58:39 GMT",
"version": "v3"
}
] | 2014-02-14 | [
[
"Bitansky",
"Nir",
""
],
[
"Canetti",
"Ran",
""
],
[
"Cohn",
"Henry",
""
],
[
"Goldwasser",
"Shafi",
""
],
[
"Kalai",
"Yael Tauman",
""
],
[
"Paneth",
"Omer",
""
],
[
"Rosen",
"Alon",
""
]
] | [
-0.10499975830316544,
0.04846725985407829,
-0.022514382377266884,
0.006370333954691887,
0.02527580037713051,
-0.0261249877512455,
0.018825754523277283,
-0.049098215997219086,
0.04411716014146805,
-0.03998427465558052,
0.009697048924863338,
0.006697681732475758,
0.06672660261392593,
-0.02427331916987896,
-0.022025715559720993,
-0.0395609512925148,
-0.04208408668637276,
0.07929428666830063,
-0.00002622362444526516,
0.052719175815582275,
0.108367420732975,
-0.09155537188053131,
-0.053194914013147354,
0.036213938146829605,
-0.012019742280244827,
0.0009873030940070748,
0.011660191230475903,
-0.05512169376015663,
-0.03355371206998825,
-0.012418600730597973,
-0.02873588353395462,
-0.022921906784176826,
0.05107314884662628,
0.011592312715947628,
0.026287302374839783,
-0.036493461579084396,
0.03284056857228279,
0.004633826203644276,
0.021470800042152405,
-0.016091812402009964,
-0.04727577790617943,
-0.01975313574075699,
-0.06269469857215881,
0.01600593514740467,
-0.05801272764801979,
-0.00919649749994278,
0.05744905397295952,
-0.007708314806222916,
-0.05944129824638367,
-0.054632239043712616,
0.032638564705848694,
0.09080430120229721,
0.006320131942629814,
0.05955113470554352,
0.005419697146862745,
-0.10407595336437225,
-0.059914570301771164,
0.0068132602609694,
-0.0639989897608757,
0.07959914207458496,
-0.025612466037273407,
0.09114976972341537,
0.018120916560292244,
0.04840043559670448,
0.04996524751186371,
0.06829839199781418,
0.03782772645354271,
0.026469605043530464,
0.012071709148585796,
0.07365936785936356,
0.013743814080953598,
0.00419542845338583,
-0.04423292353749275,
0.05639039725065231,
0.0665435716509819,
0.062383443117141724,
-0.08854729682207108,
-0.017357362434267998,
-0.010948505252599716,
0.018251048400998116,
-0.0074668447487056255,
-0.09284348040819168,
0.016570305451750755,
0.008633768185973167,
0.011257141828536987,
0.017462268471717834,
-0.00547470897436142,
0.03237651661038399,
0.05548936501145363,
-0.04937675595283508,
-0.079658143222332,
-0.05083282291889191,
0.026895305141806602,
0.010702833533287048,
0.07711935043334961,
-0.09299185872077942,
0.024509398266673088,
-0.026200132444500923,
0.028933072462677956,
0.06600619852542877,
-0.006913952529430389,
-0.05087359994649887,
0.044546227902173996,
-0.09617511183023453,
0.11050500720739365,
0.05637168884277344,
-0.037703756242990494,
-0.05218709632754326,
0.02080739103257656,
-0.04046361893415451,
0.011250844225287437,
0.00786619447171688,
0.009595424868166447,
0.006720679346472025,
-0.03507733345031738,
0.04380591958761215,
-0.007151479367166758,
0.03646263852715492,
0.006678340490907431,
0.02098594792187214,
-0.008917407132685184,
0.058363087475299835,
-0.009667378850281239,
0.09716201573610306,
0.03268386051058769,
-0.03583317622542381,
-0.01824839971959591,
4.9269743688762285e-33,
-0.01693255826830864,
0.03604913130402565,
-0.028382951393723488,
-0.044591449201107025,
0.06775399297475815,
0.05674055591225624,
0.055179912596940994,
0.04013665020465851,
-0.03102940134704113,
0.0956895500421524,
0.016233187168836594,
0.052201252430677414,
0.04183954745531082,
0.0005440055392682552,
0.1088080033659935,
0.08709882199764252,
-0.04326225444674492,
-0.04535717889666557,
0.062366146594285965,
-0.08645553886890411,
0.12148479372262955,
0.02471247874200344,
0.0010613284539431334,
-0.03315543010830879,
0.010450062341988087,
-0.01755339279770851,
0.0017759950133040547,
-0.07206390798091888,
0.07668814063072205,
0.03548131883144379,
-0.05989569053053856,
0.02378743514418602,
0.011357544921338558,
0.0018064050236716866,
0.011714854277670383,
0.047521933913230896,
-0.020010415464639664,
-0.055736806243658066,
-0.014243957586586475,
0.018714560195803642,
0.031152229756116867,
-0.04878053441643715,
-0.012052921578288078,
-0.08059591054916382,
-0.004103761166334152,
-0.057808902114629745,
-0.017817148938775063,
0.05730206519365311,
-0.011513814330101013,
0.00021521396411117166,
-0.03474198281764984,
-0.017352629452943802,
-0.06828280538320541,
-0.004549900535494089,
0.01785382255911827,
-0.047734733670949936,
0.018245404586195946,
0.07057557255029678,
0.08723580092191696,
0.17789876461029053,
-0.06819269806146622,
0.02380727231502533,
-0.05898824706673622,
-0.0057762060314416885,
-0.13521170616149902,
0.05617835372686386,
-0.03221480920910835,
-0.10692890733480453,
0.020976310595870018,
-0.018969878554344177,
-0.020971976220607758,
0.01881233975291252,
-0.09700125455856323,
-0.025018975138664246,
0.016223248094320297,
-0.00857569370418787,
0.05220818519592285,
-0.05206265673041344,
0.02309785597026348,
-0.04167769104242325,
-0.05025720223784447,
0.020839141681790352,
0.053238872438669205,
0.03373235836625099,
-0.0805998370051384,
-0.020640721544623375,
-0.08669811487197876,
0.029477950185537338,
-0.07747498154640198,
-0.05818237364292145,
0.015309575013816357,
-0.06669674813747406,
0.046389054507017136,
-0.023112386465072632,
-0.015752876177430153,
-6.051159860653062e-33,
-0.11995937675237656,
0.014333031140267849,
0.015248028561472893,
0.0791349858045578,
-0.04038795083761215,
0.0007646669400855899,
0.0016017587622627616,
0.003270201152190566,
-0.0033734182361513376,
-0.029657112434506416,
-0.05943048372864723,
0.057648900896310806,
0.13283954560756683,
0.03320511803030968,
-0.0036579761654138565,
0.016355056315660477,
0.008156774565577507,
0.06891103833913803,
-0.025028293952345848,
0.022891681641340256,
0.054273415356874466,
0.11869529634714127,
-0.06621986627578735,
0.02164599485695362,
0.04830484092235565,
0.019021403044462204,
-0.050688233226537704,
0.09585602581501007,
0.09292036294937134,
0.02452477253973484,
-0.0064959111623466015,
0.03944189473986626,
-0.059599362313747406,
-0.045218802988529205,
-0.026483764871954918,
-0.02452412247657776,
0.047135189175605774,
0.10814113169908524,
-0.04082823544740677,
-0.010440114885568619,
-0.017747581005096436,
-0.029067646712064743,
-0.05418632552027702,
-0.039082299917936325,
0.023379910737276077,
-0.03512376919388771,
-0.04112059250473976,
0.03508346900343895,
0.15240751206874847,
-0.029130784794688225,
-0.06756353378295898,
-0.05452798679471016,
-0.013834899291396141,
0.03900199010968208,
-0.06474044173955917,
-0.0096860621124506,
-0.025536563247442245,
0.08351485431194305,
0.033844783902168274,
0.01649869792163372,
0.064853236079216,
-0.019467255100607872,
0.012203422375023365,
-0.007863459177315235,
-0.04692879319190979,
-0.07079048454761505,
-0.03085589036345482,
0.03224648907780647,
-0.002621642081066966,
-0.011181560344994068,
0.04660163074731827,
-0.02426559291779995,
-0.03640761598944664,
0.011686038225889206,
-0.0015385843580588698,
0.07673116773366928,
-0.013658157549798489,
-0.04412441700696945,
-0.049242131412029266,
0.09326087683439255,
0.05363604426383972,
0.008967971429228783,
0.04379414767026901,
-0.05869165435433388,
0.004394688177853823,
0.018119657412171364,
0.08401798456907272,
-0.09459700435400009,
-0.04160988703370094,
-0.03768168017268181,
-0.0588051974773407,
0.053441938012838364,
-0.00969188567250967,
0.06850291043519974,
-0.013418224640190601,
-4.623663940606093e-8,
0.089292973279953,
0.010052764788269997,
-0.031886085867881775,
0.00435297004878521,
0.028567958623170853,
-0.072494275867939,
0.000585539557505399,
-0.06781726330518723,
-0.03241002559661865,
-0.11230538785457611,
0.02569900080561638,
-0.03473841771483421,
-0.04803064838051796,
-0.048042017966508865,
0.027966687455773354,
0.03395594656467438,
-0.09562346339225769,
-0.010118386708199978,
-0.022144099697470665,
-0.04261880740523338,
-0.0346405915915966,
-0.00956598948687315,
-0.055916521698236465,
0.01416197419166565,
-0.01916731894016266,
-0.021408649161458015,
0.05114499852061272,
-0.04057808592915535,
0.05034100264310837,
0.11463635414838791,
-0.04044070094823837,
0.04100903496146202,
0.027444222941994667,
-0.009072193875908852,
-0.04768654704093933,
0.038224343210458755,
-0.03857684135437012,
0.07764159142971039,
-0.04184048995375633,
-0.025587590411305428,
0.003185573033988476,
-0.11427335441112518,
-0.0640353336930275,
-0.018128149211406708,
0.01427901815623045,
-0.08476457744836807,
0.06497187167406082,
-0.10796177387237549,
-0.022073660045862198,
0.05136220157146454,
0.05880063772201538,
0.038985203951597214,
-0.09311371296644211,
-0.011441480368375778,
0.06265614181756973,
0.019555946812033653,
-0.030122634023427963,
-0.0543479323387146,
-0.0314108245074749,
0.03445812314748764,
-0.006612884812057018,
0.05506769195199013,
0.09085378795862198,
-0.016294853761792183
] | null | null | null | null | null | null | null | [
-0.10499975830316544,
0.04846725985407829,
-0.022514382377266884,
0.006370333954691887,
0.02527580037713051,
-0.0261249877512455,
0.018825754523277283,
-0.049098215997219086,
0.04411716014146805,
-0.03998427465558052,
0.009697048924863338,
0.006697681732475758,
0.06672660261392593,
-0.02427331916987896,
-0.022025715559720993,
-0.0395609512925148,
-0.04208408668637276,
0.07929428666830063,
-0.00002622362444526516,
0.052719175815582275,
0.108367420732975,
-0.09155537188053131,
-0.053194914013147354,
0.036213938146829605,
-0.012019742280244827,
0.0009873030940070748,
0.011660191230475903,
-0.05512169376015663,
-0.03355371206998825,
-0.012418600730597973,
-0.02873588353395462,
-0.022921906784176826,
0.05107314884662628,
0.011592312715947628,
0.026287302374839783,
-0.036493461579084396,
0.03284056857228279,
0.004633826203644276,
0.021470800042152405,
-0.016091812402009964,
-0.04727577790617943,
-0.01975313574075699,
-0.06269469857215881,
0.01600593514740467,
-0.05801272764801979,
-0.00919649749994278,
0.05744905397295952,
-0.007708314806222916,
-0.05944129824638367,
-0.054632239043712616,
0.032638564705848694,
0.09080430120229721,
0.006320131942629814,
0.05955113470554352,
0.005419697146862745,
-0.10407595336437225,
-0.059914570301771164,
0.0068132602609694,
-0.0639989897608757,
0.07959914207458496,
-0.025612466037273407,
0.09114976972341537,
0.018120916560292244,
0.04840043559670448,
0.04996524751186371,
0.06829839199781418,
0.03782772645354271,
0.026469605043530464,
0.012071709148585796,
0.07365936785936356,
0.013743814080953598,
0.00419542845338583,
-0.04423292353749275,
0.05639039725065231,
0.0665435716509819,
0.062383443117141724,
-0.08854729682207108,
-0.017357362434267998,
-0.010948505252599716,
0.018251048400998116,
-0.0074668447487056255,
-0.09284348040819168,
0.016570305451750755,
0.008633768185973167,
0.011257141828536987,
0.017462268471717834,
-0.00547470897436142,
0.03237651661038399,
0.05548936501145363,
-0.04937675595283508,
-0.079658143222332,
-0.05083282291889191,
0.026895305141806602,
0.010702833533287048,
0.07711935043334961,
-0.09299185872077942,
0.024509398266673088,
-0.026200132444500923,
0.028933072462677956,
0.06600619852542877,
-0.006913952529430389,
-0.05087359994649887,
0.044546227902173996,
-0.09617511183023453,
0.11050500720739365,
0.05637168884277344,
-0.037703756242990494,
-0.05218709632754326,
0.02080739103257656,
-0.04046361893415451,
0.011250844225287437,
0.00786619447171688,
0.009595424868166447,
0.006720679346472025,
-0.03507733345031738,
0.04380591958761215,
-0.007151479367166758,
0.03646263852715492,
0.006678340490907431,
0.02098594792187214,
-0.008917407132685184,
0.058363087475299835,
-0.009667378850281239,
0.09716201573610306,
0.03268386051058769,
-0.03583317622542381,
-0.01824839971959591,
4.9269743688762285e-33,
-0.01693255826830864,
0.03604913130402565,
-0.028382951393723488,
-0.044591449201107025,
0.06775399297475815,
0.05674055591225624,
0.055179912596940994,
0.04013665020465851,
-0.03102940134704113,
0.0956895500421524,
0.016233187168836594,
0.052201252430677414,
0.04183954745531082,
0.0005440055392682552,
0.1088080033659935,
0.08709882199764252,
-0.04326225444674492,
-0.04535717889666557,
0.062366146594285965,
-0.08645553886890411,
0.12148479372262955,
0.02471247874200344,
0.0010613284539431334,
-0.03315543010830879,
0.010450062341988087,
-0.01755339279770851,
0.0017759950133040547,
-0.07206390798091888,
0.07668814063072205,
0.03548131883144379,
-0.05989569053053856,
0.02378743514418602,
0.011357544921338558,
0.0018064050236716866,
0.011714854277670383,
0.047521933913230896,
-0.020010415464639664,
-0.055736806243658066,
-0.014243957586586475,
0.018714560195803642,
0.031152229756116867,
-0.04878053441643715,
-0.012052921578288078,
-0.08059591054916382,
-0.004103761166334152,
-0.057808902114629745,
-0.017817148938775063,
0.05730206519365311,
-0.011513814330101013,
0.00021521396411117166,
-0.03474198281764984,
-0.017352629452943802,
-0.06828280538320541,
-0.004549900535494089,
0.01785382255911827,
-0.047734733670949936,
0.018245404586195946,
0.07057557255029678,
0.08723580092191696,
0.17789876461029053,
-0.06819269806146622,
0.02380727231502533,
-0.05898824706673622,
-0.0057762060314416885,
-0.13521170616149902,
0.05617835372686386,
-0.03221480920910835,
-0.10692890733480453,
0.020976310595870018,
-0.018969878554344177,
-0.020971976220607758,
0.01881233975291252,
-0.09700125455856323,
-0.025018975138664246,
0.016223248094320297,
-0.00857569370418787,
0.05220818519592285,
-0.05206265673041344,
0.02309785597026348,
-0.04167769104242325,
-0.05025720223784447,
0.020839141681790352,
0.053238872438669205,
0.03373235836625099,
-0.0805998370051384,
-0.020640721544623375,
-0.08669811487197876,
0.029477950185537338,
-0.07747498154640198,
-0.05818237364292145,
0.015309575013816357,
-0.06669674813747406,
0.046389054507017136,
-0.023112386465072632,
-0.015752876177430153,
-6.051159860653062e-33,
-0.11995937675237656,
0.014333031140267849,
0.015248028561472893,
0.0791349858045578,
-0.04038795083761215,
0.0007646669400855899,
0.0016017587622627616,
0.003270201152190566,
-0.0033734182361513376,
-0.029657112434506416,
-0.05943048372864723,
0.057648900896310806,
0.13283954560756683,
0.03320511803030968,
-0.0036579761654138565,
0.016355056315660477,
0.008156774565577507,
0.06891103833913803,
-0.025028293952345848,
0.022891681641340256,
0.054273415356874466,
0.11869529634714127,
-0.06621986627578735,
0.02164599485695362,
0.04830484092235565,
0.019021403044462204,
-0.050688233226537704,
0.09585602581501007,
0.09292036294937134,
0.02452477253973484,
-0.0064959111623466015,
0.03944189473986626,
-0.059599362313747406,
-0.045218802988529205,
-0.026483764871954918,
-0.02452412247657776,
0.047135189175605774,
0.10814113169908524,
-0.04082823544740677,
-0.010440114885568619,
-0.017747581005096436,
-0.029067646712064743,
-0.05418632552027702,
-0.039082299917936325,
0.023379910737276077,
-0.03512376919388771,
-0.04112059250473976,
0.03508346900343895,
0.15240751206874847,
-0.029130784794688225,
-0.06756353378295898,
-0.05452798679471016,
-0.013834899291396141,
0.03900199010968208,
-0.06474044173955917,
-0.0096860621124506,
-0.025536563247442245,
0.08351485431194305,
0.033844783902168274,
0.01649869792163372,
0.064853236079216,
-0.019467255100607872,
0.012203422375023365,
-0.007863459177315235,
-0.04692879319190979,
-0.07079048454761505,
-0.03085589036345482,
0.03224648907780647,
-0.002621642081066966,
-0.011181560344994068,
0.04660163074731827,
-0.02426559291779995,
-0.03640761598944664,
0.011686038225889206,
-0.0015385843580588698,
0.07673116773366928,
-0.013658157549798489,
-0.04412441700696945,
-0.049242131412029266,
0.09326087683439255,
0.05363604426383972,
0.008967971429228783,
0.04379414767026901,
-0.05869165435433388,
0.004394688177853823,
0.018119657412171364,
0.08401798456907272,
-0.09459700435400009,
-0.04160988703370094,
-0.03768168017268181,
-0.0588051974773407,
0.053441938012838364,
-0.00969188567250967,
0.06850291043519974,
-0.013418224640190601,
-4.623663940606093e-8,
0.089292973279953,
0.010052764788269997,
-0.031886085867881775,
0.00435297004878521,
0.028567958623170853,
-0.072494275867939,
0.000585539557505399,
-0.06781726330518723,
-0.03241002559661865,
-0.11230538785457611,
0.02569900080561638,
-0.03473841771483421,
-0.04803064838051796,
-0.048042017966508865,
0.027966687455773354,
0.03395594656467438,
-0.09562346339225769,
-0.010118386708199978,
-0.022144099697470665,
-0.04261880740523338,
-0.0346405915915966,
-0.00956598948687315,
-0.055916521698236465,
0.01416197419166565,
-0.01916731894016266,
-0.021408649161458015,
0.05114499852061272,
-0.04057808592915535,
0.05034100264310837,
0.11463635414838791,
-0.04044070094823837,
0.04100903496146202,
0.027444222941994667,
-0.009072193875908852,
-0.04768654704093933,
0.038224343210458755,
-0.03857684135437012,
0.07764159142971039,
-0.04184048995375633,
-0.025587590411305428,
0.003185573033988476,
-0.11427335441112518,
-0.0640353336930275,
-0.018128149211406708,
0.01427901815623045,
-0.08476457744836807,
0.06497187167406082,
-0.10796177387237549,
-0.022073660045862198,
0.05136220157146454,
0.05880063772201538,
0.038985203951597214,
-0.09311371296644211,
-0.011441480368375778,
0.06265614181756973,
0.019555946812033653,
-0.030122634023427963,
-0.0543479323387146,
-0.0314108245074749,
0.03445812314748764,
-0.006612884812057018,
0.05506769195199013,
0.09085378795862198,
-0.016294853761792183
] |
1401.0355 | Liya Fan | Liya Fan, Bo Gao, Xi Sun, Fa Zhang and Zhiyong Liu | Improving the Load Balance of MapReduce Operations based on the Key
Distribution of Pairs | null | null | null | null | cs.DC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Load balance is important for MapReduce to reduce job duration, increase
parallel efficiency, etc. Previous work focuses on coarse-grained scheduling.
This study concerns fine-grained scheduling on MapReduce operations. Each
operation represents one invocation of the Map or Reduce function. Scheduling
MapReduce operations is difficult due to highly screwed operation loads, no
support to collect workload statistics, and high complexity of the scheduling
problem. So current implementations adopt simple strategies, leading to poor
load balance. To address these difficulties, we design an algorithm to schedule
operations based on the key distribution of intermediate pairs. The algorithm
involves a sub-program for selecting operations for task slots, and we name it
the Balanced Subset Sum (BSS) problem. We discuss properties of BSS and design
exact and approximation algorithms for it. To transparently incorporate these
algorithms into MapReduce, we design a communication mechanism to collect
statistics, and a pipeline within Reduce tasks to increase resource
utilization. To the best of our knowledge, this is the first work on scheduling
MapReduce workload at this fine-grained level. Experiments on PUMA [T+12]
benchmarks show consistent performance improvement. The job duration can be
reduced by up to 37%, compared with standard MapReduce.
| [
{
"created": "Thu, 2 Jan 2014 01:42:23 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2014 03:35:22 GMT",
"version": "v2"
}
] | 2014-04-15 | [
[
"Fan",
"Liya",
""
],
[
"Gao",
"Bo",
""
],
[
"Sun",
"Xi",
""
],
[
"Zhang",
"Fa",
""
],
[
"Liu",
"Zhiyong",
""
]
] | [
-0.0692201778292656,
0.041898757219314575,
0.02998274192214012,
0.011144394055008888,
-0.07838021963834763,
-0.0669306069612503,
-0.0658513531088829,
-0.03911835700273514,
-0.06669268757104874,
0.047998666763305664,
-0.11480939388275146,
0.003556518815457821,
0.00963385310024023,
0.001261839410290122,
-0.012663711793720722,
-0.008603811264038086,
0.07449152320623398,
0.03973723202943802,
-0.022932611405849457,
-0.07695049047470093,
-0.02458382025361061,
-0.03835783153772354,
-0.022381925955414772,
-0.01628997176885605,
0.05646391212940216,
0.026047052815556526,
-0.022827910259366035,
-0.0889165848493576,
-0.053657904267311096,
0.0007302124286070466,
-0.05186113715171814,
-0.029169630259275436,
0.07014722377061844,
-0.057567048817873,
-0.056861307471990585,
0.061782900243997574,
-0.09025812149047852,
-0.07988938689231873,
-0.0034337847027927637,
-0.05522681400179863,
-0.024243751540780067,
0.015206622891128063,
-0.04286328703165054,
0.018696259707212448,
-0.09526349604129791,
0.017332999035716057,
0.025127746164798737,
0.012735928408801556,
0.003911726642400026,
0.04738554358482361,
-0.011703298427164555,
-0.020695505663752556,
-0.03332655876874924,
0.1004655584692955,
-0.029493629932403564,
0.019883954897522926,
0.02265968546271324,
-0.07951968163251877,
-0.030950156971812248,
0.016382751986384392,
-0.03323874995112419,
-0.1153235137462616,
0.03059030883014202,
-0.030272599309682846,
0.026900650933384895,
0.017677048221230507,
0.023111138492822647,
0.05404042452573776,
-0.0018743631662800908,
-0.038435883820056915,
0.03554364666342735,
0.05323748290538788,
-0.0703834742307663,
0.043497662991285324,
-0.028975455090403557,
0.0966828316450119,
0.06760584563016891,
-0.03137265145778656,
-0.0227670781314373,
-0.047562409192323685,
-0.061255764216184616,
-0.03242068365216255,
0.014031101949512959,
0.0018446086905896664,
0.04294632747769356,
-0.06042846292257309,
-0.04066157713532448,
-0.011407684534788132,
0.024752797558903694,
0.03233463689684868,
-0.0055885701440274715,
0.06789380311965942,
0.038537684828042984,
-0.006074902601540089,
-0.006850338075309992,
-0.050862010568380356,
-0.04358724504709244,
0.04843195155262947,
0.02347852662205696,
0.01101890578866005,
0.006391771603375673,
0.04149216413497925,
0.108784019947052,
-0.08060170710086823,
-0.006232060492038727,
0.005300551187247038,
0.011449706740677357,
-0.04098054766654968,
-0.11692643165588379,
-0.058997128158807755,
0.04874015226960182,
0.010353281162679195,
0.0394236296415329,
0.008608154021203518,
-0.04031909629702568,
0.05892422795295715,
-0.0207635797560215,
-0.020142264664173126,
-0.020516715943813324,
0.10178007930517197,
0.01367116253823042,
0.05115688964724541,
0.01087812427431345,
-0.07474586367607117,
-0.01513198483735323,
0.005145508795976639,
-0.017200825735926628,
1.6849407454992048e-33,
0.011985891498625278,
-0.008137544617056847,
0.05477248877286911,
-0.05710804834961891,
0.09894462674856186,
-0.06745404750108719,
0.0049184104427695274,
0.01745639182627201,
-0.07287899404764175,
0.0071640294045209885,
-0.03745464235544205,
0.03706541284918785,
-0.028628023341298103,
0.02655043639242649,
0.03989231586456299,
-0.03438877686858177,
0.07671871036291122,
0.06472156941890717,
-0.005542905069887638,
-0.03552544116973877,
0.000875100668054074,
-0.037614136934280396,
-0.10303439944982529,
-0.006951421499252319,
0.11322195827960968,
-0.001481586485169828,
0.016332129016518593,
-0.04615200310945511,
0.015624681487679482,
0.02319788932800293,
0.002746933838352561,
0.042757172137498856,
0.007328822277486324,
0.03062884695827961,
0.04870930314064026,
-0.02982572838664055,
-0.029216885566711426,
-0.016723470762372017,
-0.0029830364510416985,
0.024238266050815582,
0.0040132575668394566,
0.025553053244948387,
-0.0488605760037899,
-0.08395356684923172,
-0.07371900975704193,
-0.08796758204698563,
0.00759733933955431,
0.011487472802400589,
0.029678979888558388,
0.07253015041351318,
0.13190315663814545,
-0.044011782854795456,
0.09571321308612823,
0.07580337673425674,
0.0002948548353742808,
0.04693395644426346,
0.029387008398771286,
0.03197212889790535,
0.10225227475166321,
0.18378597497940063,
-0.0795617401599884,
0.005957038141787052,
-0.005367731675505638,
0.057185981422662735,
0.020891986787319183,
-0.003018242074176669,
0.02213349938392639,
0.03989328816533089,
0.0010597353102639318,
0.006379305850714445,
-0.019998136907815933,
0.027167310938239098,
0.015760187059640884,
0.05893455073237419,
0.0031081223860383034,
0.03798529878258705,
0.12650126218795776,
-0.03531799837946892,
-0.13301299512386322,
-0.01951207034289837,
-0.02825726382434368,
0.057067278772592545,
0.07616261392831802,
-0.05354945734143257,
-0.028316592797636986,
0.012816406786441803,
-0.04039178416132927,
0.05029260367155075,
0.043322525918483734,
-0.028553666546940804,
-0.05358695611357689,
0.007074441760778427,
-0.04994567111134529,
-0.020097097381949425,
-0.0173296257853508,
-1.2109513012049187e-33,
-0.045828983187675476,
-0.052428290247917175,
-0.03409711271524429,
0.10370233654975891,
0.06258115917444229,
-0.03354199603199959,
0.05506454035639763,
-0.12554089725017548,
0.06445324420928955,
0.05661015585064888,
-0.10695956647396088,
-0.0015200648922473192,
-0.0009035214316099882,
0.0030874605290591717,
0.02526768296957016,
-0.022152721881866455,
-0.018962733447551727,
0.04447205364704132,
-0.03238280117511749,
0.03880881890654564,
-0.00937040988355875,
0.07379300892353058,
-0.012996717356145382,
-0.008656376041471958,
0.029958589002490044,
0.020635483786463737,
-0.04724234715104103,
-0.027194665744900703,
0.006997118704020977,
-0.006662046071141958,
-0.014325219206511974,
-0.05767235532402992,
-0.002044814173132181,
-0.05288488045334816,
0.04407089576125145,
-0.01263392623513937,
0.015966955572366714,
0.1533399373292923,
0.0035773247946053743,
0.07037150859832764,
0.07883574068546295,
-0.036287397146224976,
-0.0007451775018125772,
-0.0599408820271492,
-0.01978067122399807,
0.056179340928792953,
-0.01737624779343605,
-0.02602456510066986,
-0.08572520315647125,
0.00783113669604063,
-0.038670845329761505,
0.023471342399716377,
0.02072249725461006,
0.11614150553941727,
0.0877370536327362,
-0.13235899806022644,
-0.010250680148601532,
-0.02089211717247963,
0.005529573652893305,
-0.009525682777166367,
-0.013248538598418236,
-0.07322203367948532,
0.05092484876513481,
0.008219174109399319,
0.07180949300527573,
-0.04350155219435692,
0.002387035870924592,
-0.09257949143648148,
-0.05741626024246216,
-0.0038650892674922943,
-0.02899256721138954,
0.08632197976112366,
0.07755110412836075,
0.0641888752579689,
-0.031175820156931877,
0.02951783873140812,
0.011411377228796482,
-0.018393149599432945,
0.009202697314321995,
0.09901449084281921,
-0.01792706921696663,
0.03813311085104942,
0.028455479070544243,
-0.013685713522136211,
-0.014802759513258934,
0.09575890749692917,
0.03400084376335144,
0.027301810681819916,
0.02890380658209324,
-0.02441277541220188,
-0.010551577433943748,
0.00489548034965992,
-0.04395075887441635,
0.017717648297548294,
0.0011343169026076794,
-4.141800147294816e-8,
0.07363864034414291,
0.04344034940004349,
-0.03463790938258171,
-0.0009952645050361753,
0.05963338166475296,
-0.07569824904203415,
0.020730070769786835,
0.12109675258398056,
0.026548946276307106,
0.02640644833445549,
0.03934049606323242,
-0.08003619313240051,
0.0436507873237133,
-0.07710761576890945,
0.07001976668834686,
0.027019953355193138,
0.030525386333465576,
-0.053545527160167694,
-0.0282639991492033,
0.030540592968463898,
-0.008273798041045666,
0.050349656492471695,
0.03161997348070145,
0.03501708433032036,
-0.009895225055515766,
0.014909126795828342,
0.08087331056594849,
-0.025578606873750687,
0.08636552840471268,
-0.06911131739616394,
-0.01571406051516533,
-0.002520011505112052,
-0.000627692905254662,
-0.0650622546672821,
0.018394242972135544,
-0.037938039749860764,
0.00343778682872653,
0.007405166979879141,
-0.03067217394709587,
0.044821545481681824,
0.05233883485198021,
-0.0060218521393835545,
0.04321734234690666,
-0.009605872444808483,
0.047258634120225906,
-0.017238302156329155,
-0.10874643176794052,
0.09355470538139343,
-0.013417206704616547,
-0.029987363144755363,
-0.06361756473779678,
0.00599284702911973,
0.05002828314900398,
0.043414294719696045,
0.017650019377470016,
0.04687145724892616,
-0.005758581683039665,
-0.1052093654870987,
0.07342149317264557,
-0.015938227996230125,
0.06733056902885437,
-0.09731344133615494,
-0.09667938202619553,
-0.028011580929160118
] | null | null | null | null | null | null | null | [
-0.0692201778292656,
0.041898757219314575,
0.02998274192214012,
0.011144394055008888,
-0.07838021963834763,
-0.0669306069612503,
-0.0658513531088829,
-0.03911835700273514,
-0.06669268757104874,
0.047998666763305664,
-0.11480939388275146,
0.003556518815457821,
0.00963385310024023,
0.001261839410290122,
-0.012663711793720722,
-0.008603811264038086,
0.07449152320623398,
0.03973723202943802,
-0.022932611405849457,
-0.07695049047470093,
-0.02458382025361061,
-0.03835783153772354,
-0.022381925955414772,
-0.01628997176885605,
0.05646391212940216,
0.026047052815556526,
-0.022827910259366035,
-0.0889165848493576,
-0.053657904267311096,
0.0007302124286070466,
-0.05186113715171814,
-0.029169630259275436,
0.07014722377061844,
-0.057567048817873,
-0.056861307471990585,
0.061782900243997574,
-0.09025812149047852,
-0.07988938689231873,
-0.0034337847027927637,
-0.05522681400179863,
-0.024243751540780067,
0.015206622891128063,
-0.04286328703165054,
0.018696259707212448,
-0.09526349604129791,
0.017332999035716057,
0.025127746164798737,
0.012735928408801556,
0.003911726642400026,
0.04738554358482361,
-0.011703298427164555,
-0.020695505663752556,
-0.03332655876874924,
0.1004655584692955,
-0.029493629932403564,
0.019883954897522926,
0.02265968546271324,
-0.07951968163251877,
-0.030950156971812248,
0.016382751986384392,
-0.03323874995112419,
-0.1153235137462616,
0.03059030883014202,
-0.030272599309682846,
0.026900650933384895,
0.017677048221230507,
0.023111138492822647,
0.05404042452573776,
-0.0018743631662800908,
-0.038435883820056915,
0.03554364666342735,
0.05323748290538788,
-0.0703834742307663,
0.043497662991285324,
-0.028975455090403557,
0.0966828316450119,
0.06760584563016891,
-0.03137265145778656,
-0.0227670781314373,
-0.047562409192323685,
-0.061255764216184616,
-0.03242068365216255,
0.014031101949512959,
0.0018446086905896664,
0.04294632747769356,
-0.06042846292257309,
-0.04066157713532448,
-0.011407684534788132,
0.024752797558903694,
0.03233463689684868,
-0.0055885701440274715,
0.06789380311965942,
0.038537684828042984,
-0.006074902601540089,
-0.006850338075309992,
-0.050862010568380356,
-0.04358724504709244,
0.04843195155262947,
0.02347852662205696,
0.01101890578866005,
0.006391771603375673,
0.04149216413497925,
0.108784019947052,
-0.08060170710086823,
-0.006232060492038727,
0.005300551187247038,
0.011449706740677357,
-0.04098054766654968,
-0.11692643165588379,
-0.058997128158807755,
0.04874015226960182,
0.010353281162679195,
0.0394236296415329,
0.008608154021203518,
-0.04031909629702568,
0.05892422795295715,
-0.0207635797560215,
-0.020142264664173126,
-0.020516715943813324,
0.10178007930517197,
0.01367116253823042,
0.05115688964724541,
0.01087812427431345,
-0.07474586367607117,
-0.01513198483735323,
0.005145508795976639,
-0.017200825735926628,
1.6849407454992048e-33,
0.011985891498625278,
-0.008137544617056847,
0.05477248877286911,
-0.05710804834961891,
0.09894462674856186,
-0.06745404750108719,
0.0049184104427695274,
0.01745639182627201,
-0.07287899404764175,
0.0071640294045209885,
-0.03745464235544205,
0.03706541284918785,
-0.028628023341298103,
0.02655043639242649,
0.03989231586456299,
-0.03438877686858177,
0.07671871036291122,
0.06472156941890717,
-0.005542905069887638,
-0.03552544116973877,
0.000875100668054074,
-0.037614136934280396,
-0.10303439944982529,
-0.006951421499252319,
0.11322195827960968,
-0.001481586485169828,
0.016332129016518593,
-0.04615200310945511,
0.015624681487679482,
0.02319788932800293,
0.002746933838352561,
0.042757172137498856,
0.007328822277486324,
0.03062884695827961,
0.04870930314064026,
-0.02982572838664055,
-0.029216885566711426,
-0.016723470762372017,
-0.0029830364510416985,
0.024238266050815582,
0.0040132575668394566,
0.025553053244948387,
-0.0488605760037899,
-0.08395356684923172,
-0.07371900975704193,
-0.08796758204698563,
0.00759733933955431,
0.011487472802400589,
0.029678979888558388,
0.07253015041351318,
0.13190315663814545,
-0.044011782854795456,
0.09571321308612823,
0.07580337673425674,
0.0002948548353742808,
0.04693395644426346,
0.029387008398771286,
0.03197212889790535,
0.10225227475166321,
0.18378597497940063,
-0.0795617401599884,
0.005957038141787052,
-0.005367731675505638,
0.057185981422662735,
0.020891986787319183,
-0.003018242074176669,
0.02213349938392639,
0.03989328816533089,
0.0010597353102639318,
0.006379305850714445,
-0.019998136907815933,
0.027167310938239098,
0.015760187059640884,
0.05893455073237419,
0.0031081223860383034,
0.03798529878258705,
0.12650126218795776,
-0.03531799837946892,
-0.13301299512386322,
-0.01951207034289837,
-0.02825726382434368,
0.057067278772592545,
0.07616261392831802,
-0.05354945734143257,
-0.028316592797636986,
0.012816406786441803,
-0.04039178416132927,
0.05029260367155075,
0.043322525918483734,
-0.028553666546940804,
-0.05358695611357689,
0.007074441760778427,
-0.04994567111134529,
-0.020097097381949425,
-0.0173296257853508,
-1.2109513012049187e-33,
-0.045828983187675476,
-0.052428290247917175,
-0.03409711271524429,
0.10370233654975891,
0.06258115917444229,
-0.03354199603199959,
0.05506454035639763,
-0.12554089725017548,
0.06445324420928955,
0.05661015585064888,
-0.10695956647396088,
-0.0015200648922473192,
-0.0009035214316099882,
0.0030874605290591717,
0.02526768296957016,
-0.022152721881866455,
-0.018962733447551727,
0.04447205364704132,
-0.03238280117511749,
0.03880881890654564,
-0.00937040988355875,
0.07379300892353058,
-0.012996717356145382,
-0.008656376041471958,
0.029958589002490044,
0.020635483786463737,
-0.04724234715104103,
-0.027194665744900703,
0.006997118704020977,
-0.006662046071141958,
-0.014325219206511974,
-0.05767235532402992,
-0.002044814173132181,
-0.05288488045334816,
0.04407089576125145,
-0.01263392623513937,
0.015966955572366714,
0.1533399373292923,
0.0035773247946053743,
0.07037150859832764,
0.07883574068546295,
-0.036287397146224976,
-0.0007451775018125772,
-0.0599408820271492,
-0.01978067122399807,
0.056179340928792953,
-0.01737624779343605,
-0.02602456510066986,
-0.08572520315647125,
0.00783113669604063,
-0.038670845329761505,
0.023471342399716377,
0.02072249725461006,
0.11614150553941727,
0.0877370536327362,
-0.13235899806022644,
-0.010250680148601532,
-0.02089211717247963,
0.005529573652893305,
-0.009525682777166367,
-0.013248538598418236,
-0.07322203367948532,
0.05092484876513481,
0.008219174109399319,
0.07180949300527573,
-0.04350155219435692,
0.002387035870924592,
-0.09257949143648148,
-0.05741626024246216,
-0.0038650892674922943,
-0.02899256721138954,
0.08632197976112366,
0.07755110412836075,
0.0641888752579689,
-0.031175820156931877,
0.02951783873140812,
0.011411377228796482,
-0.018393149599432945,
0.009202697314321995,
0.09901449084281921,
-0.01792706921696663,
0.03813311085104942,
0.028455479070544243,
-0.013685713522136211,
-0.014802759513258934,
0.09575890749692917,
0.03400084376335144,
0.027301810681819916,
0.02890380658209324,
-0.02441277541220188,
-0.010551577433943748,
0.00489548034965992,
-0.04395075887441635,
0.017717648297548294,
0.0011343169026076794,
-4.141800147294816e-8,
0.07363864034414291,
0.04344034940004349,
-0.03463790938258171,
-0.0009952645050361753,
0.05963338166475296,
-0.07569824904203415,
0.020730070769786835,
0.12109675258398056,
0.026548946276307106,
0.02640644833445549,
0.03934049606323242,
-0.08003619313240051,
0.0436507873237133,
-0.07710761576890945,
0.07001976668834686,
0.027019953355193138,
0.030525386333465576,
-0.053545527160167694,
-0.0282639991492033,
0.030540592968463898,
-0.008273798041045666,
0.050349656492471695,
0.03161997348070145,
0.03501708433032036,
-0.009895225055515766,
0.014909126795828342,
0.08087331056594849,
-0.025578606873750687,
0.08636552840471268,
-0.06911131739616394,
-0.01571406051516533,
-0.002520011505112052,
-0.000627692905254662,
-0.0650622546672821,
0.018394242972135544,
-0.037938039749860764,
0.00343778682872653,
0.007405166979879141,
-0.03067217394709587,
0.044821545481681824,
0.05233883485198021,
-0.0060218521393835545,
0.04321734234690666,
-0.009605872444808483,
0.047258634120225906,
-0.017238302156329155,
-0.10874643176794052,
0.09355470538139343,
-0.013417206704616547,
-0.029987363144755363,
-0.06361756473779678,
0.00599284702911973,
0.05002828314900398,
0.043414294719696045,
0.017650019377470016,
0.04687145724892616,
-0.005758581683039665,
-0.1052093654870987,
0.07342149317264557,
-0.015938227996230125,
0.06733056902885437,
-0.09731344133615494,
-0.09667938202619553,
-0.028011580929160118
] |
1401.0359 | Andrew Winslow | Benjamin Hescott, Caleb Malchik, Andrew Winslow | Tight Bounds for Active Self-Assembly Using an Insertion Primitive | To appear in Algorithmica. An abstract (12-page) version of this
paper appeared in the proceedings of ESA 2014 | null | null | null | cs.FL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove two tight bounds on the behavior of a model of self-assembling
particles introduced by Dabby and Chen (SODA 2013), called insertion systems,
where monomers insert themselves into the middle of a growing linear polymer.
First, we prove that the expressive power of these systems is equal to
context-free grammars, answering a question posed by Dabby and Chen. Second, we
prove that systems of $k$ monomer types can deterministically construct
polymers of length $n = 2^{\Theta(k^{3/2})}$ in $O(\log^{5/3}(n))$ expected
time, and that this is optimal in both the number of monomer types and expected
time.
| [
{
"created": "Thu, 2 Jan 2014 02:50:43 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jan 2014 19:39:28 GMT",
"version": "v2"
},
{
"created": "Mon, 5 May 2014 18:20:05 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Jul 2014 18:38:13 GMT",
"version": "v4"
},
{
"created": "Tue, 27 Oct 2015 20:59:17 GMT",
"version": "v5"
}
] | 2015-10-29 | [
[
"Hescott",
"Benjamin",
""
],
[
"Malchik",
"Caleb",
""
],
[
"Winslow",
"Andrew",
""
]
] | [
0.00640458706766367,
-0.0788285881280899,
0.076146200299263,
-0.005713309161365032,
-0.004851457662880421,
-0.05122927576303482,
0.0755404382944107,
0.006056623999029398,
0.10172603279352188,
0.06111250817775726,
0.017804043367505074,
0.021313760429620743,
-0.009819833561778069,
0.04302980750799179,
0.06765634566545486,
-0.0018423564033582807,
0.018908604979515076,
-0.028672806918621063,
-0.065631203353405,
0.011930595152080059,
0.013752235099673271,
-0.07235472649335861,
-0.037608180195093155,
-0.00975772738456726,
0.029030051082372665,
-0.026756154373288155,
-0.06867531687021255,
-0.05453093349933624,
0.11112188547849655,
-0.011849579401314259,
0.041969604790210724,
-0.006492914166301489,
0.04805906489491463,
0.00991836842149496,
0.06112169474363327,
0.023886315524578094,
0.024162927642464638,
0.005913644563406706,
-0.044761773198843,
0.04154769703745842,
0.007720440160483122,
0.03207924962043762,
0.030880926176905632,
-0.027052810415625572,
0.017970282584428787,
-0.022750815376639366,
-0.009949969127774239,
-0.009728637523949146,
-0.058375775814056396,
-0.10245411098003387,
-0.05249269679188728,
-0.022944241762161255,
-0.05565421283245087,
0.017691288143396378,
-0.03103652596473694,
0.039352402091026306,
-0.03241777420043945,
-0.029469624161720276,
-0.025820180773735046,
0.020858347415924072,
0.020968545228242874,
0.00601750984787941,
-0.017460592091083527,
0.01696549355983734,
0.03516619652509689,
0.04801414534449577,
0.06728074699640274,
0.10859780758619308,
-0.026676183566451073,
0.14338117837905884,
-0.045098043978214264,
0.058138493448495865,
-0.07062948495149612,
0.0800144374370575,
0.07391484081745148,
-0.05886860564351082,
0.012577474117279053,
-0.042771000415086746,
-0.04173813387751579,
-0.019923938438296318,
-0.052978239953517914,
-0.022118305787444115,
0.008370678871870041,
0.013759986497461796,
-0.03538838028907776,
0.044467635452747345,
0.052225880324840546,
0.10913985222578049,
0.022709280252456665,
-0.046223126351833344,
-0.07993599027395248,
-0.052197426557540894,
-0.025888502597808838,
-0.016514258459210396,
0.04765647277235985,
-0.005563156213611364,
0.036931075155735016,
0.023442458361387253,
0.07675842940807343,
0.039432838559150696,
0.014543572440743446,
-0.010584717616438866,
0.061957862228155136,
0.001319953124038875,
-0.02497699297964573,
-0.030809618532657623,
-0.09706149250268936,
-0.007612337823957205,
0.05842501297593117,
0.05042112246155739,
0.03237931430339813,
-0.01861620508134365,
0.005254840012639761,
0.026791159063577652,
-0.08480269461870193,
-0.023616939783096313,
0.004233670420944691,
-0.02214992791414261,
0.024179711937904358,
0.027408046647906303,
0.04696173220872879,
-0.012288188561797142,
-0.01260348130017519,
-0.03019425831735134,
-0.020567141473293304,
-0.0034031609538942575,
0.02170396037399769,
7.193994662141187e-34,
0.05716201290488243,
0.0334889180958271,
0.06556455045938492,
0.01419198326766491,
0.06857383251190186,
0.031115593388676643,
0.042258504778146744,
-0.02689901925623417,
0.0014323415234684944,
0.019742103293538094,
0.016766207292675972,
-0.010467044077813625,
-0.008517028763890266,
0.07077497988939285,
0.07669153064489365,
-0.032448362559080124,
0.06879515945911407,
0.06848479807376862,
-0.06175945699214935,
-0.046903155744075775,
0.0008254489512182772,
-0.01756519265472889,
-0.06226194277405739,
-0.0321219228208065,
0.024455135688185692,
-0.023811575025320053,
-0.007965641096234322,
-0.05440979450941086,
0.009711884893476963,
0.007790945470333099,
-0.08360931277275085,
0.021915912628173828,
-0.0029733211267739534,
0.14286157488822937,
0.017245300114154816,
-0.04517725482583046,
-0.033835675567388535,
-0.0667567178606987,
0.029614359140396118,
-0.07003079354763031,
0.06341474503278732,
0.017800558358430862,
0.03364963084459305,
0.01770508661866188,
-0.04594293609261513,
-0.05811179056763649,
-0.020264603197574615,
0.0779699981212616,
-0.052062127739191055,
-0.048705898225307465,
0.03710566833615303,
0.12037131935358047,
-0.043391790241003036,
0.008798465132713318,
0.08337973058223724,
0.062443871051073074,
-0.014165211468935013,
0.008591306395828724,
0.017410261556506157,
0.07398159056901932,
-0.05297732353210449,
0.04511630907654762,
-0.01884535700082779,
0.03849286586046219,
0.026520708575844765,
0.023714328184723854,
0.01669173873960972,
-0.003598623676225543,
0.1583625078201294,
-0.02191970683634281,
-0.03514111042022705,
-0.023825107142329216,
-0.19868063926696777,
0.036787718534469604,
0.05323018506169319,
0.015108435414731503,
0.02353294938802719,
-0.11150170117616653,
-0.028361273929476738,
0.06396996229887009,
0.003330749925225973,
-0.005872359964996576,
-0.03575243428349495,
-0.038746658712625504,
-0.06165125221014023,
-0.08150310069322586,
0.006213333457708359,
-0.05890083685517311,
-0.01430488470941782,
-0.02637443318963051,
-0.01279802992939949,
-0.11670906841754913,
0.03611254319548607,
0.007132842671126127,
-0.029014063999056816,
-3.706915925188314e-33,
-0.006012619938701391,
-0.08500336110591888,
-0.03116518445312977,
0.06663648039102554,
0.008384065702557564,
-0.07987524569034576,
-0.03430366516113281,
0.04359596595168114,
0.004743640311062336,
-0.024514734745025635,
0.01160381454974413,
0.08977832645177841,
0.03496377170085907,
0.024016954004764557,
-0.017517467960715294,
-0.003187177935615182,
0.042912088334560394,
0.011047241277992725,
0.07528222352266312,
-0.07415597885847092,
0.053054265677928925,
0.022762717679142952,
0.028727658092975616,
0.035851798951625824,
-0.001741779618896544,
0.043764542788267136,
-0.1049644723534584,
0.03590485081076622,
-0.06742817163467407,
0.04826723784208298,
-0.057716891169548035,
-0.038627635687589645,
-0.03492635115981102,
0.0377904437482357,
0.0012364033609628677,
-0.03969145566225052,
-0.015419800765812397,
0.07507669180631638,
0.050596415996551514,
-0.02931606024503708,
-0.0050774202682077885,
-0.008175665512681007,
0.01813109591603279,
0.010333524085581303,
-0.006660281214863062,
-0.08819063007831573,
-0.08381607383489609,
-0.0035249574575573206,
0.08951003849506378,
0.021450798958539963,
-0.1240127682685852,
0.03006601892411709,
0.01158857624977827,
-0.03350820392370224,
-0.025992965325713158,
-0.0101021034643054,
-0.025140482932329178,
-0.042948681861162186,
0.05536741763353348,
-0.0420587882399559,
-0.1282394826412201,
-0.022933805361390114,
0.046862248331308365,
0.025428835302591324,
0.041201964020729065,
-0.07730086892843246,
-0.03974243625998497,
-0.1216539666056633,
0.030189111828804016,
-0.13704107701778412,
0.06089029461145401,
0.006670724600553513,
-0.007442810107022524,
-0.003993647638708353,
-0.04761190339922905,
-0.0055360347032547,
0.03812970593571663,
0.008065547794103622,
-0.03980391472578049,
-0.05849257484078407,
-0.055471405386924744,
0.06398124247789383,
-0.021935604512691498,
-0.017451588064432144,
-0.10925847291946411,
-0.07888073474168777,
0.1039569303393364,
-0.0366942323744297,
-0.008638069033622742,
-0.01100790873169899,
0.021358488127589226,
0.04410518705844879,
0.04699885845184326,
0.07268703728914261,
-0.0006446077604778111,
-4.627327143680304e-8,
0.03494775667786598,
-0.02015797235071659,
-0.007895123213529587,
-0.014444631524384022,
0.03518294170498848,
0.046125877648591995,
-0.02022095024585724,
0.02584891766309738,
-0.0284758098423481,
-0.02430455945432186,
0.09882444888353348,
0.07661253958940506,
-0.020334716886281967,
0.0639377310872078,
-0.019365614280104637,
-0.02819780632853508,
-0.03779802843928337,
-0.07706626504659653,
-0.07392245531082153,
-0.08495689183473587,
-0.009588760323822498,
0.026752222329378128,
0.021459657698869705,
0.0018382460111752152,
-0.1400211602449417,
0.007506662514060736,
0.00889367051422596,
-0.05001700669527054,
-0.02099558711051941,
0.05441577360033989,
-0.05023428797721863,
0.10388625413179398,
-0.03853040561079979,
0.06923636049032211,
-0.02942659519612789,
0.03225685656070709,
-0.06498933583498001,
0.002589854644611478,
-0.044277023524045944,
-0.10273510217666626,
0.06491589546203613,
0.0042380825616419315,
-0.04646121710538864,
-0.0223041120916605,
0.11303900927305222,
-0.0666859820485115,
-0.044060759246349335,
-0.011657181195914745,
-0.05301373079419136,
0.015086931176483631,
-0.0071932668797671795,
0.0004764069162774831,
-0.03397192433476448,
-0.014582443051040173,
0.06333161890506744,
0.003999141976237297,
-0.03725467622280121,
-0.010489937849342823,
0.045933619141578674,
0.03235406428575516,
-0.08429370075464249,
0.0006841175490990281,
0.1196911484003067,
-0.025186575949192047
] | null | null | null | null | null | null | null | [
0.00640458706766367,
-0.0788285881280899,
0.076146200299263,
-0.005713309161365032,
-0.004851457662880421,
-0.05122927576303482,
0.0755404382944107,
0.006056623999029398,
0.10172603279352188,
0.06111250817775726,
0.017804043367505074,
0.021313760429620743,
-0.009819833561778069,
0.04302980750799179,
0.06765634566545486,
-0.0018423564033582807,
0.018908604979515076,
-0.028672806918621063,
-0.065631203353405,
0.011930595152080059,
0.013752235099673271,
-0.07235472649335861,
-0.037608180195093155,
-0.00975772738456726,
0.029030051082372665,
-0.026756154373288155,
-0.06867531687021255,
-0.05453093349933624,
0.11112188547849655,
-0.011849579401314259,
0.041969604790210724,
-0.006492914166301489,
0.04805906489491463,
0.00991836842149496,
0.06112169474363327,
0.023886315524578094,
0.024162927642464638,
0.005913644563406706,
-0.044761773198843,
0.04154769703745842,
0.007720440160483122,
0.03207924962043762,
0.030880926176905632,
-0.027052810415625572,
0.017970282584428787,
-0.022750815376639366,
-0.009949969127774239,
-0.009728637523949146,
-0.058375775814056396,
-0.10245411098003387,
-0.05249269679188728,
-0.022944241762161255,
-0.05565421283245087,
0.017691288143396378,
-0.03103652596473694,
0.039352402091026306,
-0.03241777420043945,
-0.029469624161720276,
-0.025820180773735046,
0.020858347415924072,
0.020968545228242874,
0.00601750984787941,
-0.017460592091083527,
0.01696549355983734,
0.03516619652509689,
0.04801414534449577,
0.06728074699640274,
0.10859780758619308,
-0.026676183566451073,
0.14338117837905884,
-0.045098043978214264,
0.058138493448495865,
-0.07062948495149612,
0.0800144374370575,
0.07391484081745148,
-0.05886860564351082,
0.012577474117279053,
-0.042771000415086746,
-0.04173813387751579,
-0.019923938438296318,
-0.052978239953517914,
-0.022118305787444115,
0.008370678871870041,
0.013759986497461796,
-0.03538838028907776,
0.044467635452747345,
0.052225880324840546,
0.10913985222578049,
0.022709280252456665,
-0.046223126351833344,
-0.07993599027395248,
-0.052197426557540894,
-0.025888502597808838,
-0.016514258459210396,
0.04765647277235985,
-0.005563156213611364,
0.036931075155735016,
0.023442458361387253,
0.07675842940807343,
0.039432838559150696,
0.014543572440743446,
-0.010584717616438866,
0.061957862228155136,
0.001319953124038875,
-0.02497699297964573,
-0.030809618532657623,
-0.09706149250268936,
-0.007612337823957205,
0.05842501297593117,
0.05042112246155739,
0.03237931430339813,
-0.01861620508134365,
0.005254840012639761,
0.026791159063577652,
-0.08480269461870193,
-0.023616939783096313,
0.004233670420944691,
-0.02214992791414261,
0.024179711937904358,
0.027408046647906303,
0.04696173220872879,
-0.012288188561797142,
-0.01260348130017519,
-0.03019425831735134,
-0.020567141473293304,
-0.0034031609538942575,
0.02170396037399769,
7.193994662141187e-34,
0.05716201290488243,
0.0334889180958271,
0.06556455045938492,
0.01419198326766491,
0.06857383251190186,
0.031115593388676643,
0.042258504778146744,
-0.02689901925623417,
0.0014323415234684944,
0.019742103293538094,
0.016766207292675972,
-0.010467044077813625,
-0.008517028763890266,
0.07077497988939285,
0.07669153064489365,
-0.032448362559080124,
0.06879515945911407,
0.06848479807376862,
-0.06175945699214935,
-0.046903155744075775,
0.0008254489512182772,
-0.01756519265472889,
-0.06226194277405739,
-0.0321219228208065,
0.024455135688185692,
-0.023811575025320053,
-0.007965641096234322,
-0.05440979450941086,
0.009711884893476963,
0.007790945470333099,
-0.08360931277275085,
0.021915912628173828,
-0.0029733211267739534,
0.14286157488822937,
0.017245300114154816,
-0.04517725482583046,
-0.033835675567388535,
-0.0667567178606987,
0.029614359140396118,
-0.07003079354763031,
0.06341474503278732,
0.017800558358430862,
0.03364963084459305,
0.01770508661866188,
-0.04594293609261513,
-0.05811179056763649,
-0.020264603197574615,
0.0779699981212616,
-0.052062127739191055,
-0.048705898225307465,
0.03710566833615303,
0.12037131935358047,
-0.043391790241003036,
0.008798465132713318,
0.08337973058223724,
0.062443871051073074,
-0.014165211468935013,
0.008591306395828724,
0.017410261556506157,
0.07398159056901932,
-0.05297732353210449,
0.04511630907654762,
-0.01884535700082779,
0.03849286586046219,
0.026520708575844765,
0.023714328184723854,
0.01669173873960972,
-0.003598623676225543,
0.1583625078201294,
-0.02191970683634281,
-0.03514111042022705,
-0.023825107142329216,
-0.19868063926696777,
0.036787718534469604,
0.05323018506169319,
0.015108435414731503,
0.02353294938802719,
-0.11150170117616653,
-0.028361273929476738,
0.06396996229887009,
0.003330749925225973,
-0.005872359964996576,
-0.03575243428349495,
-0.038746658712625504,
-0.06165125221014023,
-0.08150310069322586,
0.006213333457708359,
-0.05890083685517311,
-0.01430488470941782,
-0.02637443318963051,
-0.01279802992939949,
-0.11670906841754913,
0.03611254319548607,
0.007132842671126127,
-0.029014063999056816,
-3.706915925188314e-33,
-0.006012619938701391,
-0.08500336110591888,
-0.03116518445312977,
0.06663648039102554,
0.008384065702557564,
-0.07987524569034576,
-0.03430366516113281,
0.04359596595168114,
0.004743640311062336,
-0.024514734745025635,
0.01160381454974413,
0.08977832645177841,
0.03496377170085907,
0.024016954004764557,
-0.017517467960715294,
-0.003187177935615182,
0.042912088334560394,
0.011047241277992725,
0.07528222352266312,
-0.07415597885847092,
0.053054265677928925,
0.022762717679142952,
0.028727658092975616,
0.035851798951625824,
-0.001741779618896544,
0.043764542788267136,
-0.1049644723534584,
0.03590485081076622,
-0.06742817163467407,
0.04826723784208298,
-0.057716891169548035,
-0.038627635687589645,
-0.03492635115981102,
0.0377904437482357,
0.0012364033609628677,
-0.03969145566225052,
-0.015419800765812397,
0.07507669180631638,
0.050596415996551514,
-0.02931606024503708,
-0.0050774202682077885,
-0.008175665512681007,
0.01813109591603279,
0.010333524085581303,
-0.006660281214863062,
-0.08819063007831573,
-0.08381607383489609,
-0.0035249574575573206,
0.08951003849506378,
0.021450798958539963,
-0.1240127682685852,
0.03006601892411709,
0.01158857624977827,
-0.03350820392370224,
-0.025992965325713158,
-0.0101021034643054,
-0.025140482932329178,
-0.042948681861162186,
0.05536741763353348,
-0.0420587882399559,
-0.1282394826412201,
-0.022933805361390114,
0.046862248331308365,
0.025428835302591324,
0.041201964020729065,
-0.07730086892843246,
-0.03974243625998497,
-0.1216539666056633,
0.030189111828804016,
-0.13704107701778412,
0.06089029461145401,
0.006670724600553513,
-0.007442810107022524,
-0.003993647638708353,
-0.04761190339922905,
-0.0055360347032547,
0.03812970593571663,
0.008065547794103622,
-0.03980391472578049,
-0.05849257484078407,
-0.055471405386924744,
0.06398124247789383,
-0.021935604512691498,
-0.017451588064432144,
-0.10925847291946411,
-0.07888073474168777,
0.1039569303393364,
-0.0366942323744297,
-0.008638069033622742,
-0.01100790873169899,
0.021358488127589226,
0.04410518705844879,
0.04699885845184326,
0.07268703728914261,
-0.0006446077604778111,
-4.627327143680304e-8,
0.03494775667786598,
-0.02015797235071659,
-0.007895123213529587,
-0.014444631524384022,
0.03518294170498848,
0.046125877648591995,
-0.02022095024585724,
0.02584891766309738,
-0.0284758098423481,
-0.02430455945432186,
0.09882444888353348,
0.07661253958940506,
-0.020334716886281967,
0.0639377310872078,
-0.019365614280104637,
-0.02819780632853508,
-0.03779802843928337,
-0.07706626504659653,
-0.07392245531082153,
-0.08495689183473587,
-0.009588760323822498,
0.026752222329378128,
0.021459657698869705,
0.0018382460111752152,
-0.1400211602449417,
0.007506662514060736,
0.00889367051422596,
-0.05001700669527054,
-0.02099558711051941,
0.05441577360033989,
-0.05023428797721863,
0.10388625413179398,
-0.03853040561079979,
0.06923636049032211,
-0.02942659519612789,
0.03225685656070709,
-0.06498933583498001,
0.002589854644611478,
-0.044277023524045944,
-0.10273510217666626,
0.06491589546203613,
0.0042380825616419315,
-0.04646121710538864,
-0.0223041120916605,
0.11303900927305222,
-0.0666859820485115,
-0.044060759246349335,
-0.011657181195914745,
-0.05301373079419136,
0.015086931176483631,
-0.0071932668797671795,
0.0004764069162774831,
-0.03397192433476448,
-0.014582443051040173,
0.06333161890506744,
0.003999141976237297,
-0.03725467622280121,
-0.010489937849342823,
0.045933619141578674,
0.03235406428575516,
-0.08429370075464249,
0.0006841175490990281,
0.1196911484003067,
-0.025186575949192047
] |
1401.0362 | Hao Peng | Hao Peng and Yuan Qi | EigenGP: Gaussian Process Models with Adaptive Eigenfunctions | Accepted by IJCAI 2015 | null | null | null | cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gaussian processes (GPs) provide a nonparametric representation of functions.
However, classical GP inference suffers from high computational cost for big
data. In this paper, we propose a new Bayesian approach, EigenGP, that learns
both basis dictionary elements--eigenfunctions of a GP prior--and prior
precisions in a sparse finite model. It is well known that, among all
orthogonal basis functions, eigenfunctions can provide the most compact
representation. Unlike other sparse Bayesian finite models where the basis
function has a fixed form, our eigenfunctions live in a reproducing kernel
Hilbert space as a finite linear combination of kernel functions. We learn the
dictionary elements--eigenfunctions--and the prior precisions over these
elements as well as all the other hyperparameters from data by maximizing the
model marginal likelihood. We explore computational linear algebra to simplify
the gradient computation significantly. Our experimental results demonstrate
improved predictive performance of EigenGP over alternative sparse GP methods
as well as relevance vector machine.
| [
{
"created": "Thu, 2 Jan 2014 03:12:28 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2014 03:50:33 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Jul 2015 06:11:18 GMT",
"version": "v3"
}
] | 2015-07-14 | [
[
"Peng",
"Hao",
""
],
[
"Qi",
"Yuan",
""
]
] | [
-0.09105975925922394,
-0.13022655248641968,
-0.02136736549437046,
-0.01851431094110012,
0.005368135403841734,
-0.029932605102658272,
-0.0009845694294199347,
-0.03689085319638252,
-0.011592254042625427,
-0.011373684741556644,
0.016426878049969673,
0.06885002553462982,
0.012808877974748611,
0.018618665635585785,
-0.018735403195023537,
-0.037255510687828064,
0.035355690866708755,
0.0657702311873436,
-0.055084943771362305,
-0.055234696716070175,
-0.0036087343469262123,
0.06913082301616669,
-0.025903038680553436,
-0.03792726248502731,
0.001314926310442388,
0.011695154011249542,
0.1109134703874588,
-0.013639644719660282,
0.01893962360918522,
-0.020506208762526512,
0.038206927478313446,
-0.0054399375803768635,
-0.029186509549617767,
-0.04351374879479408,
-0.04120837152004242,
0.04272536560893059,
0.0034441761672496796,
0.054119497537612915,
-0.03308557718992233,
-0.014509196393191814,
0.021414712071418762,
-0.03332584351301193,
-0.06301077455282211,
0.11476736515760422,
0.05276148021221161,
-0.007901342585682869,
0.07048793882131577,
-0.12342306971549988,
0.08411587029695511,
-0.04156174510717392,
-0.03827100992202759,
0.07739358395338058,
-0.050357263535261154,
-0.0009357090457342565,
0.00592626491561532,
-0.029645109549164772,
0.011019503697752953,
-0.09034119546413422,
-0.009875533170998096,
0.012879081070423126,
-0.08224635571241379,
-0.13863225281238556,
-0.048970721662044525,
0.02889040857553482,
-0.045052241533994675,
0.03882400691509247,
0.049623917788267136,
-0.02340645343065262,
-0.015128889121115208,
0.004311357159167528,
-0.0744996964931488,
0.11848887801170349,
-0.03308699652552605,
0.011462593451142311,
-0.04790807515382767,
-0.01973058097064495,
0.004310494754463434,
-0.01978488452732563,
0.018922092393040657,
-0.021485241129994392,
0.02803950197994709,
0.0735330879688263,
0.024312620982527733,
-0.04320364072918892,
0.10474449396133423,
-0.01075220387428999,
0.022780874744057655,
0.03467728570103645,
0.04902555048465729,
-0.0016225636936724186,
-0.001288072788156569,
0.014344003051519394,
-0.019722776487469673,
-0.047435157001018524,
-0.05310437083244324,
0.01106030773371458,
0.08770522475242615,
-0.07324574142694473,
0.032908566296100616,
0.06961710005998611,
-0.000021280086002661847,
0.023424798622727394,
0.02703184075653553,
0.051241762936115265,
-0.043172843754291534,
-0.024697506800293922,
-0.0574922040104866,
0.10757029056549072,
0.0546075738966465,
-0.05311492085456848,
-0.0010181956458836794,
-0.006166194565594196,
-0.032029565423727036,
0.08009614050388336,
-0.05098824203014374,
-0.0572054386138916,
0.05310656130313873,
-0.0294220931828022,
0.046313926577568054,
0.09214268624782562,
-0.004132455680519342,
0.03250261768698692,
0.0018842155113816261,
0.027857087552547455,
-0.01578540913760662,
-0.0012774750357493758,
-0.09968910366296768,
2.3827013351778525e-33,
0.04625915363430977,
0.008937396109104156,
0.054887887090444565,
0.015868134796619415,
-0.03411925584077835,
0.032857466489076614,
-0.02372179739177227,
-0.0323108546435833,
-0.003563202917575836,
0.07296981662511826,
-0.04824162647128105,
0.0409337542951107,
-0.0796118974685669,
0.040166452527046204,
0.0016372877871617675,
0.07649824023246765,
-0.06548384577035904,
0.07665081322193146,
0.02880547009408474,
-0.06453495472669601,
0.07487332075834274,
-0.0029424424283206463,
-0.008296630345284939,
-0.01980103924870491,
-0.06915619224309921,
0.0057900226674973965,
0.05517887696623802,
-0.04849493131041527,
-0.0283159501850605,
0.009165705181658268,
-0.11024652421474457,
-0.02747686393558979,
0.012631162069737911,
0.08697467297315598,
0.0708385556936264,
-0.005146376322954893,
0.0035652355290949345,
-0.0659438818693161,
0.025148384273052216,
-0.1265469193458557,
-0.07171057164669037,
-0.029613761231303215,
0.09208910912275314,
-0.07749996334314346,
-0.1480797678232193,
-0.05238565430045128,
0.058274514973163605,
-0.05644321069121361,
0.05442159250378609,
-0.058600421994924545,
0.061205729842185974,
-0.03894132375717163,
-0.02151499129831791,
0.047164950519800186,
-0.061196308583021164,
0.050791092216968536,
-0.031897932291030884,
-0.017030805349349976,
0.01289124321192503,
0.011459010653197765,
-0.018120674416422844,
0.07739920914173126,
0.01566164195537567,
-0.014148479327559471,
-0.030455658212304115,
-0.025382118299603462,
-0.021808583289384842,
0.05738384649157524,
0.02478678524494171,
0.050953108817338943,
0.035721421241760254,
0.047938548028469086,
0.06860163807868958,
-0.08245639503002167,
0.0927693322300911,
0.003521635429933667,
0.06473322957754135,
-0.09871922433376312,
-0.07697930932044983,
0.03147634491324425,
0.010909422300755978,
-0.032747961580753326,
-0.0008541642455384135,
-0.008660603314638138,
-0.013741988688707352,
-0.04574137181043625,
0.0036931848153471947,
-0.04528860002756119,
-0.04372838884592056,
-0.08831097930669785,
-0.08400101959705353,
0.027244454249739647,
-0.024761272594332695,
-0.07271029055118561,
-0.04564628005027771,
-3.227510758014599e-33,
-0.020749414339661598,
-0.007014614529907703,
0.12827908992767334,
0.042037054896354675,
-0.011271580122411251,
-0.0908811166882515,
0.01322082057595253,
-0.03205562010407448,
0.012768535874783993,
-0.0995655506849289,
-0.04506383836269379,
-0.01490616612136364,
0.05669541284441948,
0.007000538986176252,
0.042269058525562286,
0.07362620532512665,
-0.045616235584020615,
-0.013797872699797153,
-0.06612693518400192,
-0.0431085042655468,
-0.09046760946512222,
-0.004327164031565189,
-0.020240869373083115,
0.016846973448991776,
0.01918044127523899,
0.028869427740573883,
0.046485379338264465,
0.04406503960490227,
-0.004579444415867329,
0.021535318344831467,
-0.0503045916557312,
0.02150341495871544,
-0.05769842863082886,
-0.01879701390862465,
-0.05728071555495262,
0.05543436482548714,
0.024215230718255043,
0.06405945122241974,
-0.03725172206759453,
0.013051563873887062,
0.027796654030680656,
0.0270084235817194,
0.020330283790826797,
-0.05025472864508629,
0.032649967819452286,
-0.005720673594623804,
0.039485760033130646,
0.00210274918936193,
-0.0033700517378747463,
-0.015434704720973969,
0.006803242955356836,
0.13514450192451477,
-0.12061350047588348,
0.08201292902231216,
-0.04627734050154686,
-0.024115219712257385,
0.0018479751888662577,
-0.09020601958036423,
0.09288060665130615,
-0.04444064944982529,
0.031788427382707596,
-0.03172385320067406,
-0.04561841860413551,
0.05018910765647888,
0.017954247072339058,
-0.005102415569126606,
0.029758857563138008,
-0.0023148353211581707,
-0.008226778358221054,
0.06555931270122528,
-0.024625472724437714,
-0.05021292716264725,
0.03412509709596634,
0.01873847469687462,
0.03196877986192703,
-0.0008213779074139893,
0.036692287772893906,
-0.09388688206672668,
-0.07016543298959732,
0.04695896431803703,
0.17473973333835602,
-0.006416800431907177,
0.018900109454989433,
0.025471407920122147,
0.0029020141810178757,
0.07691250741481781,
0.07561460882425308,
-0.015873892232775688,
0.035893142223358154,
-0.07564762979745865,
-0.022923756390810013,
0.05741945654153824,
0.004799077287316322,
0.06209578365087509,
-0.0302894189953804,
-4.2999261040677084e-8,
-0.0394100695848465,
0.04525601863861084,
0.03770259767770767,
-0.04364394769072533,
0.06974425911903381,
-0.034553881734609604,
0.040956176817417145,
0.08608140796422958,
-0.020503070205450058,
-0.06166635453701019,
0.044170089066028595,
-0.06693518161773682,
-0.03816038370132446,
-0.05870145559310913,
0.05370696261525154,
0.08383344113826752,
0.004347431473433971,
-0.005899358540773392,
-0.01718178018927574,
-0.02861945703625679,
-0.022724535316228867,
0.05617031455039978,
-0.02453569881618023,
0.018704993650317192,
0.037964556366205215,
-0.057871170341968536,
0.03842930868268013,
0.038129374384880066,
0.11038461327552795,
0.029419662430882454,
-0.03348388150334358,
0.015628580003976822,
0.002153500448912382,
0.0026832132134586573,
-0.003382229246199131,
0.033436328172683716,
0.06412284821271896,
0.03697573393583298,
-0.019251927733421326,
-0.0675106793642044,
-0.08331169188022614,
0.06529918313026428,
-0.023635581135749817,
0.05263606086373329,
0.013499449007213116,
0.06132911518216133,
-0.02104741893708706,
-0.025125321000814438,
0.06820979714393616,
0.07938915491104126,
0.0427582710981369,
0.04929192364215851,
0.007480868604034185,
0.08924148231744766,
0.021908989176154137,
0.00860286969691515,
-0.015395042486488819,
-0.046184197068214417,
0.02131560631096363,
-0.03734372928738594,
-0.04791770875453949,
0.017068130895495415,
-0.03463162109255791,
0.05373429134488106
] | EigenGP: Gaussian Process Models with Adaptive Eigenfunctions | http://arxiv.org/abs/1401.0362v3 | http://arxiv.org/pdf/1401.0362v3.pdf | https://github.com/hao-peng/EigenGP | true | false | https://paperswithcode.com/paper/eigengp-gaussian-process-models-with-adaptive | [
-0.09105975925922394,
-0.13022655248641968,
-0.02136736549437046,
-0.01851431094110012,
0.005368135403841734,
-0.029932605102658272,
-0.0009845694294199347,
-0.03689085319638252,
-0.011592254042625427,
-0.011373684741556644,
0.016426878049969673,
0.06885002553462982,
0.012808877974748611,
0.018618665635585785,
-0.018735403195023537,
-0.037255510687828064,
0.035355690866708755,
0.0657702311873436,
-0.055084943771362305,
-0.055234696716070175,
-0.0036087343469262123,
0.06913082301616669,
-0.025903038680553436,
-0.03792726248502731,
0.001314926310442388,
0.011695154011249542,
0.1109134703874588,
-0.013639644719660282,
0.01893962360918522,
-0.020506208762526512,
0.038206927478313446,
-0.0054399375803768635,
-0.029186509549617767,
-0.04351374879479408,
-0.04120837152004242,
0.04272536560893059,
0.0034441761672496796,
0.054119497537612915,
-0.03308557718992233,
-0.014509196393191814,
0.021414712071418762,
-0.03332584351301193,
-0.06301077455282211,
0.11476736515760422,
0.05276148021221161,
-0.007901342585682869,
0.07048793882131577,
-0.12342306971549988,
0.08411587029695511,
-0.04156174510717392,
-0.03827100992202759,
0.07739358395338058,
-0.050357263535261154,
-0.0009357090457342565,
0.00592626491561532,
-0.029645109549164772,
0.011019503697752953,
-0.09034119546413422,
-0.009875533170998096,
0.012879081070423126,
-0.08224635571241379,
-0.13863225281238556,
-0.048970721662044525,
0.02889040857553482,
-0.045052241533994675,
0.03882400691509247,
0.049623917788267136,
-0.02340645343065262,
-0.015128889121115208,
0.004311357159167528,
-0.0744996964931488,
0.11848887801170349,
-0.03308699652552605,
0.011462593451142311,
-0.04790807515382767,
-0.01973058097064495,
0.004310494754463434,
-0.01978488452732563,
0.018922092393040657,
-0.021485241129994392,
0.02803950197994709,
0.0735330879688263,
0.024312620982527733,
-0.04320364072918892,
0.10474449396133423,
-0.01075220387428999,
0.022780874744057655,
0.03467728570103645,
0.04902555048465729,
-0.0016225636936724186,
-0.001288072788156569,
0.014344003051519394,
-0.019722776487469673,
-0.047435157001018524,
-0.05310437083244324,
0.01106030773371458,
0.08770522475242615,
-0.07324574142694473,
0.032908566296100616,
0.06961710005998611,
-0.000021280086002661847,
0.023424798622727394,
0.02703184075653553,
0.051241762936115265,
-0.043172843754291534,
-0.024697506800293922,
-0.0574922040104866,
0.10757029056549072,
0.0546075738966465,
-0.05311492085456848,
-0.0010181956458836794,
-0.006166194565594196,
-0.032029565423727036,
0.08009614050388336,
-0.05098824203014374,
-0.0572054386138916,
0.05310656130313873,
-0.0294220931828022,
0.046313926577568054,
0.09214268624782562,
-0.004132455680519342,
0.03250261768698692,
0.0018842155113816261,
0.027857087552547455,
-0.01578540913760662,
-0.0012774750357493758,
-0.09968910366296768,
2.3827013351778525e-33,
0.04625915363430977,
0.008937396109104156,
0.054887887090444565,
0.015868134796619415,
-0.03411925584077835,
0.032857466489076614,
-0.02372179739177227,
-0.0323108546435833,
-0.003563202917575836,
0.07296981662511826,
-0.04824162647128105,
0.0409337542951107,
-0.0796118974685669,
0.040166452527046204,
0.0016372877871617675,
0.07649824023246765,
-0.06548384577035904,
0.07665081322193146,
0.02880547009408474,
-0.06453495472669601,
0.07487332075834274,
-0.0029424424283206463,
-0.008296630345284939,
-0.01980103924870491,
-0.06915619224309921,
0.0057900226674973965,
0.05517887696623802,
-0.04849493131041527,
-0.0283159501850605,
0.009165705181658268,
-0.11024652421474457,
-0.02747686393558979,
0.012631162069737911,
0.08697467297315598,
0.0708385556936264,
-0.005146376322954893,
0.0035652355290949345,
-0.0659438818693161,
0.025148384273052216,
-0.1265469193458557,
-0.07171057164669037,
-0.029613761231303215,
0.09208910912275314,
-0.07749996334314346,
-0.1480797678232193,
-0.05238565430045128,
0.058274514973163605,
-0.05644321069121361,
0.05442159250378609,
-0.058600421994924545,
0.061205729842185974,
-0.03894132375717163,
-0.02151499129831791,
0.047164950519800186,
-0.061196308583021164,
0.050791092216968536,
-0.031897932291030884,
-0.017030805349349976,
0.01289124321192503,
0.011459010653197765,
-0.018120674416422844,
0.07739920914173126,
0.01566164195537567,
-0.014148479327559471,
-0.030455658212304115,
-0.025382118299603462,
-0.021808583289384842,
0.05738384649157524,
0.02478678524494171,
0.050953108817338943,
0.035721421241760254,
0.047938548028469086,
0.06860163807868958,
-0.08245639503002167,
0.0927693322300911,
0.003521635429933667,
0.06473322957754135,
-0.09871922433376312,
-0.07697930932044983,
0.03147634491324425,
0.010909422300755978,
-0.032747961580753326,
-0.0008541642455384135,
-0.008660603314638138,
-0.013741988688707352,
-0.04574137181043625,
0.0036931848153471947,
-0.04528860002756119,
-0.04372838884592056,
-0.08831097930669785,
-0.08400101959705353,
0.027244454249739647,
-0.024761272594332695,
-0.07271029055118561,
-0.04564628005027771,
-3.227510758014599e-33,
-0.020749414339661598,
-0.007014614529907703,
0.12827908992767334,
0.042037054896354675,
-0.011271580122411251,
-0.0908811166882515,
0.01322082057595253,
-0.03205562010407448,
0.012768535874783993,
-0.0995655506849289,
-0.04506383836269379,
-0.01490616612136364,
0.05669541284441948,
0.007000538986176252,
0.042269058525562286,
0.07362620532512665,
-0.045616235584020615,
-0.013797872699797153,
-0.06612693518400192,
-0.0431085042655468,
-0.09046760946512222,
-0.004327164031565189,
-0.020240869373083115,
0.016846973448991776,
0.01918044127523899,
0.028869427740573883,
0.046485379338264465,
0.04406503960490227,
-0.004579444415867329,
0.021535318344831467,
-0.0503045916557312,
0.02150341495871544,
-0.05769842863082886,
-0.01879701390862465,
-0.05728071555495262,
0.05543436482548714,
0.024215230718255043,
0.06405945122241974,
-0.03725172206759453,
0.013051563873887062,
0.027796654030680656,
0.0270084235817194,
0.020330283790826797,
-0.05025472864508629,
0.032649967819452286,
-0.005720673594623804,
0.039485760033130646,
0.00210274918936193,
-0.0033700517378747463,
-0.015434704720973969,
0.006803242955356836,
0.13514450192451477,
-0.12061350047588348,
0.08201292902231216,
-0.04627734050154686,
-0.024115219712257385,
0.0018479751888662577,
-0.09020601958036423,
0.09288060665130615,
-0.04444064944982529,
0.031788427382707596,
-0.03172385320067406,
-0.04561841860413551,
0.05018910765647888,
0.017954247072339058,
-0.005102415569126606,
0.029758857563138008,
-0.0023148353211581707,
-0.008226778358221054,
0.06555931270122528,
-0.024625472724437714,
-0.05021292716264725,
0.03412509709596634,
0.01873847469687462,
0.03196877986192703,
-0.0008213779074139893,
0.036692287772893906,
-0.09388688206672668,
-0.07016543298959732,
0.04695896431803703,
0.17473973333835602,
-0.006416800431907177,
0.018900109454989433,
0.025471407920122147,
0.0029020141810178757,
0.07691250741481781,
0.07561460882425308,
-0.015873892232775688,
0.035893142223358154,
-0.07564762979745865,
-0.022923756390810013,
0.05741945654153824,
0.004799077287316322,
0.06209578365087509,
-0.0302894189953804,
-4.2999261040677084e-8,
-0.0394100695848465,
0.04525601863861084,
0.03770259767770767,
-0.04364394769072533,
0.06974425911903381,
-0.034553881734609604,
0.040956176817417145,
0.08608140796422958,
-0.020503070205450058,
-0.06166635453701019,
0.044170089066028595,
-0.06693518161773682,
-0.03816038370132446,
-0.05870145559310913,
0.05370696261525154,
0.08383344113826752,
0.004347431473433971,
-0.005899358540773392,
-0.01718178018927574,
-0.02861945703625679,
-0.022724535316228867,
0.05617031455039978,
-0.02453569881618023,
0.018704993650317192,
0.037964556366205215,
-0.057871170341968536,
0.03842930868268013,
0.038129374384880066,
0.11038461327552795,
0.029419662430882454,
-0.03348388150334358,
0.015628580003976822,
0.002153500448912382,
0.0026832132134586573,
-0.003382229246199131,
0.033436328172683716,
0.06412284821271896,
0.03697573393583298,
-0.019251927733421326,
-0.0675106793642044,
-0.08331169188022614,
0.06529918313026428,
-0.023635581135749817,
0.05263606086373329,
0.013499449007213116,
0.06132911518216133,
-0.02104741893708706,
-0.025125321000814438,
0.06820979714393616,
0.07938915491104126,
0.0427582710981369,
0.04929192364215851,
0.007480868604034185,
0.08924148231744766,
0.021908989176154137,
0.00860286969691515,
-0.015395042486488819,
-0.046184197068214417,
0.02131560631096363,
-0.03734372928738594,
-0.04791770875453949,
0.017068130895495415,
-0.03463162109255791,
0.05373429134488106
] |
1401.0366 | Vaisagh Viswanathan | Vaisagh Viswanathan and Chong Eu Lee and Michael Harold Lees and Siew
Ann Cheong and Peter M. A. Sloot | Quantitative Comparison Between Crowd Models for Evacuation Planning and
Evaluation | 12 pages, 25 figures, accepted in EPJ B | null | 10.1140/epjb/e2014-40699-x | null | cs.MA cs.CY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Crowd simulation is rapidly becoming a standard tool for evacuation planning
and evaluation. However, the many crowd models in the literature are
structurally different, and few have been rigorously calibrated against
real-world egress data, especially in emergency situations. In this paper we
describe a procedure to quantitatively compare different crowd models or
between models and real-world data. We simulated three models: (1) the lattice
gas model, (2) the social force model, and (3) the RVO2 model, and obtained the
distributions of six observables: (1) evacuation time, (2) zoned evacuation
time, (3) passage density, (4) total distance traveled, (5) inconvenience, and
(6) flow rate. We then used the DISTATIS procedure to compute the compromise
matrix of statistical distances between the three models. Projecting the three
models onto the first two principal components of the compromise matrix, we
find the lattice gas and RVO2 models are similar in terms of the evacuation
time, passage density, and flow rates, whereas the social force and RVO2 models
are similar in terms of the total distance traveled. Most importantly, we find
that the zoned evacuation times of the three models to be very different from
each other. Thus we propose to use this variable, if it can be measured, as the
key test between different models, and also between models and the real world.
Finally, we compared the model flow rates against the flow rate of an emergency
evacuation during the May 2008 Sichuan earthquake, and found the social force
model agrees best with this real data.
| [
{
"created": "Thu, 2 Jan 2014 04:44:20 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2014 06:02:51 GMT",
"version": "v2"
}
] | 2014-02-05 | [
[
"Viswanathan",
"Vaisagh",
""
],
[
"Lee",
"Chong Eu",
""
],
[
"Lees",
"Michael Harold",
""
],
[
"Cheong",
"Siew Ann",
""
],
[
"Sloot",
"Peter M. A.",
""
]
] | [
0.06172871217131615,
-0.07334578037261963,
-0.027567412704229355,
0.04391970857977867,
0.10389944911003113,
-0.02976793423295021,
-0.02934117801487446,
0.007588771637529135,
0.09918966889381409,
0.04668693616986275,
0.03487140312790871,
-0.03803877905011177,
0.019303854554891586,
0.07739207148551941,
0.010518032126128674,
-0.12144888192415237,
0.07354171574115753,
-0.027746381238102913,
-0.09049086272716522,
0.023496776819229126,
0.05793185159564018,
-0.052474021911621094,
-0.028399240225553513,
-0.004013463389128447,
-0.00006885196489747614,
-0.037373900413513184,
0.03621416911482811,
0.04547901824116707,
-0.029190251603722572,
0.03452147915959358,
0.07433869689702988,
-0.0627676323056221,
0.02939508482813835,
-0.040396008640527725,
-0.041478175669908524,
0.024296805262565613,
0.006617856211960316,
-0.020531754940748215,
-0.062460146844387054,
0.07636912167072296,
-0.026057522743940353,
0.02111983671784401,
0.026923323050141335,
0.019824646413326263,
0.09900350123643875,
0.02392803691327572,
-0.04576906934380531,
-0.020745711401104927,
-0.0172652006149292,
-0.0011234733974561095,
-0.008978262543678284,
0.07229060679674149,
0.008944975212216377,
0.05956168472766876,
0.014755038544535637,
-0.05451086536049843,
-0.002307617338374257,
-0.09259577095508575,
0.005403663031756878,
-0.10515255481004715,
-0.009382247924804688,
-0.003539400640875101,
0.0006271143793128431,
0.028647370636463165,
-0.01939895749092102,
-0.009499674662947655,
-0.019763655960559845,
0.07914979755878448,
0.13091732561588287,
-0.014188049361109734,
-0.03236905112862587,
0.037528492510318756,
-0.03616078570485115,
-0.04234592244029045,
-0.008589144796133041,
0.0008202011813409626,
0.010673239827156067,
0.05114424228668213,
-0.008614445105195045,
-0.06216179579496384,
0.047159284353256226,
-0.03368867561221123,
0.015301914885640144,
-0.0404115691781044,
-0.06946276128292084,
0.0714363157749176,
0.01503743790090084,
0.1214425265789032,
0.03767801448702812,
-0.0031124548986554146,
0.0030723344534635544,
0.1453671008348465,
0.058688484132289886,
0.022607291117310524,
0.02470502071082592,
0.016070323064923286,
0.020122705027461052,
-0.010755730792880058,
0.045770980417728424,
0.029966868460178375,
-0.018986443057656288,
0.04001019895076752,
0.010653545148670673,
-0.05625985562801361,
0.05588698014616966,
-0.060645848512649536,
0.0019822490867227316,
-0.005577072501182556,
0.00033221454941667616,
0.07906496524810791,
0.0030327478889375925,
0.00275430828332901,
0.029910730198025703,
0.04971799626946449,
0.03052949719130993,
-0.02148802950978279,
-0.013451135717332363,
-0.01485099084675312,
-0.002460142597556114,
0.07102668285369873,
0.003174677025526762,
-0.03742276877164841,
0.012815108522772789,
-0.015025734901428223,
0.05350738763809204,
0.017034612596035004,
-0.021473735570907593,
1.9963150563656204e-33,
-0.07197649031877518,
-0.040413860231637955,
-0.014693006873130798,
0.12734292447566986,
0.07553637027740479,
-0.04332928732037544,
-0.08206991851329803,
-0.06721412390470505,
0.06707841157913208,
0.04681118577718735,
-0.04530524089932442,
-0.025773247703909874,
0.04499351978302002,
0.002854420803487301,
0.030499188229441643,
0.03238408640027046,
-0.024600151926279068,
0.0228636022657156,
-0.08741379529237747,
-0.0020372802391648293,
0.010828254744410515,
-0.024317532777786255,
-0.038908008486032486,
0.0005681697512045503,
0.025671055540442467,
0.04264876991510391,
-0.012414629571139812,
0.01983226090669632,
0.012865939177572727,
-0.003483913838863373,
0.005954079329967499,
0.04771557077765465,
-0.06915202736854553,
-0.005551124457269907,
-0.031760454177856445,
-0.00250803679227829,
0.008612575940787792,
-0.05943543091416359,
0.00861020851880312,
-0.09237354248762131,
-0.09828757494688034,
-0.02690383791923523,
-0.03408196568489075,
0.04048851504921913,
-0.015527588315308094,
-0.02275623194873333,
0.07016894966363907,
-0.07799011468887329,
0.021089380607008934,
-0.07367966324090958,
-0.005735882557928562,
0.01203063502907753,
0.033851802349090576,
-0.05916813015937805,
-0.10954229533672333,
0.013042325153946877,
0.047939449548721313,
0.02340158447623253,
0.011035414412617683,
0.05474996194243431,
-0.04312625527381897,
0.06470555067062378,
0.08153217285871506,
-0.014069931581616402,
0.1302226036787033,
-0.0321517288684845,
-0.0855596661567688,
0.018737679347395897,
0.08346657454967499,
0.03624477982521057,
0.02788310870528221,
0.0371435284614563,
0.016526279971003532,
0.039358362555503845,
-0.02860243432223797,
-0.05929140746593475,
0.11609011143445969,
-0.06064217910170555,
0.00289612403139472,
0.002094567520543933,
-0.04501548781991005,
-0.06515831500291824,
-0.04737551510334015,
-0.025845082476735115,
-0.003271603723987937,
-0.03680204972624779,
-0.008868461474776268,
0.0012932647950947285,
-0.09325655549764633,
-0.02974342368543148,
-0.009288656525313854,
0.04638950526714325,
0.02195587195456028,
0.025682609528303146,
0.024584893137216568,
-2.985689713202369e-33,
-0.06702469289302826,
0.09659665077924728,
-0.01857689768075943,
0.0002786956029012799,
0.06477697193622589,
-0.03786521404981613,
-0.025392191484570503,
-0.04994029551744461,
0.10354793816804886,
-0.01890924945473671,
-0.11282385885715485,
-0.030354592949151993,
0.09821799397468567,
0.044597476720809937,
0.09341125935316086,
-0.026370417326688766,
0.1406138390302658,
-0.1333053708076477,
-0.03894375264644623,
-0.013216664083302021,
-0.019262462854385376,
-0.060876309871673584,
-0.10733912140130997,
-0.08321189880371094,
-0.0319434255361557,
0.061187684535980225,
0.043304942548274994,
0.003554579336196184,
-0.058187585324048996,
-0.04360524192452431,
0.0032377918250858784,
-0.014174461364746094,
-0.04603667929768562,
0.03289521858096123,
-0.032287053763866425,
0.018925050273537636,
0.004652721341699362,
0.029803993180394173,
-0.027701161801815033,
-0.07495544105768204,
-0.03012111596763134,
0.0022830504458397627,
-0.027391130104660988,
-0.05399454012513161,
-0.0011641283053904772,
0.09435613453388214,
0.07506915926933289,
-0.07946350425481796,
-0.06688431650400162,
-0.07817607372999191,
-0.011152291670441628,
0.03858029469847679,
-0.08545370399951935,
0.057383980602025986,
0.05966084450483322,
-0.029256189242005348,
-0.025366347283124924,
-0.07335585355758667,
-0.03217175975441933,
-0.010663880035281181,
0.004230952821671963,
0.03211212903261185,
0.04537258297204971,
0.06681795418262482,
-0.07325052469968796,
-0.042350515723228455,
-0.0868205800652504,
-0.07208046317100525,
-0.029794039204716682,
-0.0150833735242486,
0.01027920562773943,
0.05282020568847656,
-0.006941485218703747,
0.06617991626262665,
0.03145737946033478,
-0.03562469035387039,
-0.009856357239186764,
0.07439909130334854,
-0.00783158652484417,
0.008299876935780048,
-0.0296974778175354,
0.05967479944229126,
-0.015482568182051182,
-0.04210452735424042,
-0.03908764198422432,
0.00478245597332716,
0.08731944113969803,
0.015267614275217056,
-0.04545776918530464,
0.007961430586874485,
-0.019722143188118935,
0.008114291355013847,
0.0650690570473671,
0.00557470228523016,
-0.05934319272637367,
-4.833761479972054e-8,
-0.0379088819026947,
0.049732718616724014,
0.07851239293813705,
-0.056831374764442444,
-0.01637854427099228,
-0.014078903011977673,
0.01048116385936737,
0.03737587854266167,
-0.07845257222652435,
0.018184714019298553,
0.078130342066288,
0.029743369668722153,
0.06876397132873535,
0.09475845843553543,
-0.04814675822854042,
0.037692829966545105,
0.028216058388352394,
-0.03795718029141426,
-0.02744160033762455,
0.00967987347394228,
0.012240786105394363,
-0.0012323083356022835,
-0.08091360330581665,
0.004432892892509699,
0.0610942505300045,
0.08522921055555344,
-0.09324370324611664,
-0.023827875033020973,
-0.017797868698835373,
0.03619568794965744,
-0.005402176175266504,
-0.05089791491627693,
-0.04789528623223305,
0.03605174645781517,
-0.014876892790198326,
0.05182059109210968,
0.045366983860731125,
-0.02402610145509243,
0.017074143514037132,
0.0148583073168993,
0.06090733781456947,
-0.01981375738978386,
-0.007543580140918493,
0.0476141981780529,
0.07850144058465958,
0.014876032248139381,
-0.04056115821003914,
-0.029271826148033142,
0.02147798053920269,
-0.038912687450647354,
0.028306778520345688,
-0.10122764110565186,
-0.09940623492002487,
0.04098218306899071,
0.09278156608343124,
-0.05109977349638939,
-0.08443903177976608,
0.029776060953736305,
0.11344656348228455,
0.006082938518375158,
-0.03731982409954071,
0.05981156602501869,
-0.11634775251150131,
-0.03158547729253769
] | null | null | null | null | null | null | null | [
0.06172871217131615,
-0.07334578037261963,
-0.027567412704229355,
0.04391970857977867,
0.10389944911003113,
-0.02976793423295021,
-0.02934117801487446,
0.007588771637529135,
0.09918966889381409,
0.04668693616986275,
0.03487140312790871,
-0.03803877905011177,
0.019303854554891586,
0.07739207148551941,
0.010518032126128674,
-0.12144888192415237,
0.07354171574115753,
-0.027746381238102913,
-0.09049086272716522,
0.023496776819229126,
0.05793185159564018,
-0.052474021911621094,
-0.028399240225553513,
-0.004013463389128447,
-0.00006885196489747614,
-0.037373900413513184,
0.03621416911482811,
0.04547901824116707,
-0.029190251603722572,
0.03452147915959358,
0.07433869689702988,
-0.0627676323056221,
0.02939508482813835,
-0.040396008640527725,
-0.041478175669908524,
0.024296805262565613,
0.006617856211960316,
-0.020531754940748215,
-0.062460146844387054,
0.07636912167072296,
-0.026057522743940353,
0.02111983671784401,
0.026923323050141335,
0.019824646413326263,
0.09900350123643875,
0.02392803691327572,
-0.04576906934380531,
-0.020745711401104927,
-0.0172652006149292,
-0.0011234733974561095,
-0.008978262543678284,
0.07229060679674149,
0.008944975212216377,
0.05956168472766876,
0.014755038544535637,
-0.05451086536049843,
-0.002307617338374257,
-0.09259577095508575,
0.005403663031756878,
-0.10515255481004715,
-0.009382247924804688,
-0.003539400640875101,
0.0006271143793128431,
0.028647370636463165,
-0.01939895749092102,
-0.009499674662947655,
-0.019763655960559845,
0.07914979755878448,
0.13091732561588287,
-0.014188049361109734,
-0.03236905112862587,
0.037528492510318756,
-0.03616078570485115,
-0.04234592244029045,
-0.008589144796133041,
0.0008202011813409626,
0.010673239827156067,
0.05114424228668213,
-0.008614445105195045,
-0.06216179579496384,
0.047159284353256226,
-0.03368867561221123,
0.015301914885640144,
-0.0404115691781044,
-0.06946276128292084,
0.0714363157749176,
0.01503743790090084,
0.1214425265789032,
0.03767801448702812,
-0.0031124548986554146,
0.0030723344534635544,
0.1453671008348465,
0.058688484132289886,
0.022607291117310524,
0.02470502071082592,
0.016070323064923286,
0.020122705027461052,
-0.010755730792880058,
0.045770980417728424,
0.029966868460178375,
-0.018986443057656288,
0.04001019895076752,
0.010653545148670673,
-0.05625985562801361,
0.05588698014616966,
-0.060645848512649536,
0.0019822490867227316,
-0.005577072501182556,
0.00033221454941667616,
0.07906496524810791,
0.0030327478889375925,
0.00275430828332901,
0.029910730198025703,
0.04971799626946449,
0.03052949719130993,
-0.02148802950978279,
-0.013451135717332363,
-0.01485099084675312,
-0.002460142597556114,
0.07102668285369873,
0.003174677025526762,
-0.03742276877164841,
0.012815108522772789,
-0.015025734901428223,
0.05350738763809204,
0.017034612596035004,
-0.021473735570907593,
1.9963150563656204e-33,
-0.07197649031877518,
-0.040413860231637955,
-0.014693006873130798,
0.12734292447566986,
0.07553637027740479,
-0.04332928732037544,
-0.08206991851329803,
-0.06721412390470505,
0.06707841157913208,
0.04681118577718735,
-0.04530524089932442,
-0.025773247703909874,
0.04499351978302002,
0.002854420803487301,
0.030499188229441643,
0.03238408640027046,
-0.024600151926279068,
0.0228636022657156,
-0.08741379529237747,
-0.0020372802391648293,
0.010828254744410515,
-0.024317532777786255,
-0.038908008486032486,
0.0005681697512045503,
0.025671055540442467,
0.04264876991510391,
-0.012414629571139812,
0.01983226090669632,
0.012865939177572727,
-0.003483913838863373,
0.005954079329967499,
0.04771557077765465,
-0.06915202736854553,
-0.005551124457269907,
-0.031760454177856445,
-0.00250803679227829,
0.008612575940787792,
-0.05943543091416359,
0.00861020851880312,
-0.09237354248762131,
-0.09828757494688034,
-0.02690383791923523,
-0.03408196568489075,
0.04048851504921913,
-0.015527588315308094,
-0.02275623194873333,
0.07016894966363907,
-0.07799011468887329,
0.021089380607008934,
-0.07367966324090958,
-0.005735882557928562,
0.01203063502907753,
0.033851802349090576,
-0.05916813015937805,
-0.10954229533672333,
0.013042325153946877,
0.047939449548721313,
0.02340158447623253,
0.011035414412617683,
0.05474996194243431,
-0.04312625527381897,
0.06470555067062378,
0.08153217285871506,
-0.014069931581616402,
0.1302226036787033,
-0.0321517288684845,
-0.0855596661567688,
0.018737679347395897,
0.08346657454967499,
0.03624477982521057,
0.02788310870528221,
0.0371435284614563,
0.016526279971003532,
0.039358362555503845,
-0.02860243432223797,
-0.05929140746593475,
0.11609011143445969,
-0.06064217910170555,
0.00289612403139472,
0.002094567520543933,
-0.04501548781991005,
-0.06515831500291824,
-0.04737551510334015,
-0.025845082476735115,
-0.003271603723987937,
-0.03680204972624779,
-0.008868461474776268,
0.0012932647950947285,
-0.09325655549764633,
-0.02974342368543148,
-0.009288656525313854,
0.04638950526714325,
0.02195587195456028,
0.025682609528303146,
0.024584893137216568,
-2.985689713202369e-33,
-0.06702469289302826,
0.09659665077924728,
-0.01857689768075943,
0.0002786956029012799,
0.06477697193622589,
-0.03786521404981613,
-0.025392191484570503,
-0.04994029551744461,
0.10354793816804886,
-0.01890924945473671,
-0.11282385885715485,
-0.030354592949151993,
0.09821799397468567,
0.044597476720809937,
0.09341125935316086,
-0.026370417326688766,
0.1406138390302658,
-0.1333053708076477,
-0.03894375264644623,
-0.013216664083302021,
-0.019262462854385376,
-0.060876309871673584,
-0.10733912140130997,
-0.08321189880371094,
-0.0319434255361557,
0.061187684535980225,
0.043304942548274994,
0.003554579336196184,
-0.058187585324048996,
-0.04360524192452431,
0.0032377918250858784,
-0.014174461364746094,
-0.04603667929768562,
0.03289521858096123,
-0.032287053763866425,
0.018925050273537636,
0.004652721341699362,
0.029803993180394173,
-0.027701161801815033,
-0.07495544105768204,
-0.03012111596763134,
0.0022830504458397627,
-0.027391130104660988,
-0.05399454012513161,
-0.0011641283053904772,
0.09435613453388214,
0.07506915926933289,
-0.07946350425481796,
-0.06688431650400162,
-0.07817607372999191,
-0.011152291670441628,
0.03858029469847679,
-0.08545370399951935,
0.057383980602025986,
0.05966084450483322,
-0.029256189242005348,
-0.025366347283124924,
-0.07335585355758667,
-0.03217175975441933,
-0.010663880035281181,
0.004230952821671963,
0.03211212903261185,
0.04537258297204971,
0.06681795418262482,
-0.07325052469968796,
-0.042350515723228455,
-0.0868205800652504,
-0.07208046317100525,
-0.029794039204716682,
-0.0150833735242486,
0.01027920562773943,
0.05282020568847656,
-0.006941485218703747,
0.06617991626262665,
0.03145737946033478,
-0.03562469035387039,
-0.009856357239186764,
0.07439909130334854,
-0.00783158652484417,
0.008299876935780048,
-0.0296974778175354,
0.05967479944229126,
-0.015482568182051182,
-0.04210452735424042,
-0.03908764198422432,
0.00478245597332716,
0.08731944113969803,
0.015267614275217056,
-0.04545776918530464,
0.007961430586874485,
-0.019722143188118935,
0.008114291355013847,
0.0650690570473671,
0.00557470228523016,
-0.05934319272637367,
-4.833761479972054e-8,
-0.0379088819026947,
0.049732718616724014,
0.07851239293813705,
-0.056831374764442444,
-0.01637854427099228,
-0.014078903011977673,
0.01048116385936737,
0.03737587854266167,
-0.07845257222652435,
0.018184714019298553,
0.078130342066288,
0.029743369668722153,
0.06876397132873535,
0.09475845843553543,
-0.04814675822854042,
0.037692829966545105,
0.028216058388352394,
-0.03795718029141426,
-0.02744160033762455,
0.00967987347394228,
0.012240786105394363,
-0.0012323083356022835,
-0.08091360330581665,
0.004432892892509699,
0.0610942505300045,
0.08522921055555344,
-0.09324370324611664,
-0.023827875033020973,
-0.017797868698835373,
0.03619568794965744,
-0.005402176175266504,
-0.05089791491627693,
-0.04789528623223305,
0.03605174645781517,
-0.014876892790198326,
0.05182059109210968,
0.045366983860731125,
-0.02402610145509243,
0.017074143514037132,
0.0148583073168993,
0.06090733781456947,
-0.01981375738978386,
-0.007543580140918493,
0.0476141981780529,
0.07850144058465958,
0.014876032248139381,
-0.04056115821003914,
-0.029271826148033142,
0.02147798053920269,
-0.038912687450647354,
0.028306778520345688,
-0.10122764110565186,
-0.09940623492002487,
0.04098218306899071,
0.09278156608343124,
-0.05109977349638939,
-0.08443903177976608,
0.029776060953736305,
0.11344656348228455,
0.006082938518375158,
-0.03731982409954071,
0.05981156602501869,
-0.11634775251150131,
-0.03158547729253769
] |
1401.0367 | Jianwen Dong | Wen-Jie Chen, Shao-Ji Jiang, Xiao-Dong Chen, Jian-Wen Dong, C. T. Chan | Experimental realization of photonic topological insulator in a uniaxial
metacrystal waveguide | 8 pages, 4 figures | Nature Communications 5, 5782 (2014) | 10.1038/ncomms6782 | null | physics.optics cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Achieving robust transport has attracted much attention in both electronic
and photonic systems. Time-reversal invariant photonic crystal can be employed
to realize backscattering-immune chiral state, but the chiral bandgap is
topologically trivial. Here, we designed and fabricated a metacrystal
comprising non-resonant meta-atoms sandwiched between two metallic plates and
the system exhibits topological phase transition as established by group
classification. The nontrivial bandgap was confirmed by experimentally measured
transmission spectra, calculated nonzero spin Chern number and Z2 index.
Gapless spin-filtered edge states were demonstrated experimentally by measuring
the magnitude and phase of the fields. The transpsort robustness of the edge
states were also observed when an obstacle is introduced near the edge.
| [
{
"created": "Thu, 2 Jan 2014 05:43:02 GMT",
"version": "v1"
}
] | 2016-02-11 | [
[
"Chen",
"Wen-Jie",
""
],
[
"Jiang",
"Shao-Ji",
""
],
[
"Chen",
"Xiao-Dong",
""
],
[
"Dong",
"Jian-Wen",
""
],
[
"Chan",
"C. T.",
""
]
] | [
-0.005044860765337944,
-0.016235224902629852,
-0.0597478486597538,
0.02773924171924591,
0.003354631131514907,
-0.0012495878618210554,
0.04852062836289406,
-0.0072644115425646305,
-0.04531744122505188,
-0.003080561989918351,
0.03557901456952095,
0.027468163520097733,
-0.056004442274570465,
-0.045748937875032425,
0.012986586429178715,
-0.025584165006875992,
0.020350422710180283,
-0.03251424431800842,
0.03650883212685585,
0.05784225836396217,
0.00918072834610939,
-0.05325232073664665,
0.008246821351349354,
-0.007173609919846058,
-0.025888437405228615,
0.0804777666926384,
-0.033454529941082,
-0.013147249817848206,
-0.028273286297917366,
-0.050229158252477646,
0.010099208913743496,
0.03901707008481026,
-0.14395588636398315,
-0.021793469786643982,
-0.024881474673748016,
0.024845566600561142,
0.06365278363227844,
0.04133814200758934,
0.0057335663586854935,
-0.040498990565538406,
-0.021567290648818016,
0.011385873891413212,
0.01499644760042429,
0.05003559589385986,
-0.03245502710342407,
0.018696418032050133,
0.056239333003759384,
0.013422273099422455,
-0.029273342341184616,
-0.09456662833690643,
0.01432522851973772,
0.10819686949253082,
-0.00760952103883028,
0.09734734892845154,
-0.03719247505068779,
0.12052503228187561,
0.04884214326739311,
-0.04259539023041725,
-0.07751427590847015,
-0.033811356872320175,
0.03697291016578674,
-0.05567338317632675,
-0.0034627765417099,
-0.026720477268099785,
0.06886923313140869,
0.09972430765628815,
-0.0882764533162117,
-0.023119647055864334,
0.026489069685339928,
-0.027914488688111305,
0.04478684440255165,
-0.026317380368709564,
-0.05489591881632805,
0.00926386471837759,
0.08664241433143616,
0.0655040591955185,
0.027229279279708862,
0.0653141662478447,
0.04803818091750145,
0.010284097865223885,
-0.08890138566493988,
-0.06985613703727722,
0.021342560648918152,
0.11763735115528107,
0.005755976773798466,
-0.08416377007961273,
-0.07186168432235718,
0.014754185453057289,
-0.11851789802312851,
-0.045973144471645355,
0.01233699545264244,
0.043091703206300735,
0.014697767794132233,
-0.033848922699689865,
0.01912529021501541,
0.02162659540772438,
0.013777066953480244,
-0.04008546099066734,
0.07964339107275009,
0.033403750509023666,
0.029061725363135338,
-0.031449515372514725,
-0.008287625387310982,
0.04034402221441269,
-0.040534038096666336,
0.021314021199941635,
0.10739901661872864,
0.019103677943348885,
-0.15658040344715118,
-0.028651785105466843,
0.07020565122365952,
0.0569176971912384,
0.021863417699933052,
-0.06336843967437744,
-0.025339147076010704,
0.04493580758571625,
-0.04050353169441223,
0.07500296831130981,
0.1029926985502243,
0.051610205322504044,
-0.007127802819013596,
0.06468834728002548,
-0.03796347975730896,
0.040838055312633514,
0.05520552024245262,
0.018599437549710274,
-0.019991694018244743,
1.6887094905905364e-33,
-0.010376324877142906,
0.08268085867166519,
0.011292499490082264,
-0.09023084491491318,
-0.030780259519815445,
-0.024048741906881332,
0.014225107617676258,
-0.07502687722444534,
0.038258377462625504,
0.045844484120607376,
-0.04552245885133743,
-0.05408439412713051,
-0.013284931890666485,
-0.04503475874662399,
0.0013456298038363457,
-0.027004707604646683,
-0.01994265802204609,
-0.03522337228059769,
0.0001911913277581334,
-0.030776256695389748,
0.03197687491774559,
0.0428498275578022,
0.0070920344442129135,
-0.032776154577732086,
-0.012053774669766426,
0.049327775835990906,
-0.04063121974468231,
-0.07462703436613083,
0.014721828512847424,
0.014833532273769379,
0.047394514083862305,
0.09580942988395691,
0.044742949306964874,
0.04955527186393738,
0.11739703267812729,
0.04725777730345726,
0.01244532410055399,
-0.00037489825626835227,
0.05548933893442154,
-0.05188233405351639,
0.08447626233100891,
-0.012062161229550838,
-0.0025277785025537014,
0.07406515628099442,
0.03375214338302612,
-0.0771760642528534,
0.012503968551754951,
-0.10210603475570679,
-0.016255123540759087,
-0.06601212173700333,
0.013710767030715942,
-0.10253789275884628,
-0.03816496953368187,
-0.029659587889909744,
0.02928346022963524,
-0.07096157222986221,
0.04608254134654999,
0.059231165796518326,
-0.030977560207247734,
-0.0076353843323886395,
0.0823628157377243,
-0.037295397371053696,
0.01693326234817505,
-0.02468392625451088,
-0.025807861238718033,
0.018125388771295547,
0.025274351239204407,
-0.045749057084321976,
-0.0449024997651577,
-0.03846767917275429,
0.018995214253664017,
0.052703678607940674,
0.037834495306015015,
-0.001394952298142016,
0.04165564849972725,
0.01257583498954773,
0.045659031718969345,
-0.062390606850385666,
0.03207678347826004,
0.03966529294848442,
-0.07518775761127472,
-0.03514927998185158,
-0.1073693037033081,
-0.02679748833179474,
-0.004525761120021343,
0.03255538269877434,
-0.06904766708612442,
-0.11035095155239105,
-0.009977065958082676,
-0.03525466099381447,
0.03181670978665352,
0.0032928436994552612,
0.07730218768119812,
0.05511503666639328,
-0.08354698121547699,
-2.3789856710033002e-33,
-0.03756784275174141,
-0.00849398784339428,
0.10428350418806076,
0.04519091546535492,
0.0339941568672657,
0.04718063771724701,
0.003189197275787592,
0.034151412546634674,
0.0776168704032898,
0.08034741133451462,
0.041906408965587616,
0.039678338915109634,
0.028701739385724068,
-0.06683117151260376,
-0.05426083132624626,
0.059775594621896744,
0.11120551079511642,
-0.0533822737634182,
0.0737648457288742,
0.013622898608446121,
-0.026340274140238762,
0.02653961256146431,
0.01096661202609539,
0.012099076062440872,
0.005618775729089975,
0.017240749672055244,
0.04973994567990303,
-0.011050497181713581,
0.08529797941446304,
-0.0022301804274320602,
0.03132064267992973,
0.021389190107584,
-0.02928304113447666,
-0.053019069135189056,
-0.07399246096611023,
0.08285093307495117,
-0.13298675417900085,
-0.006677068304270506,
-0.08483733236789703,
0.027820367366075516,
-0.01885507069528103,
-0.015293794684112072,
-0.04095431789755821,
0.007458433508872986,
0.007660302799195051,
-0.010931845754384995,
-0.06274246424436569,
0.012348536401987076,
-0.06495368480682373,
-0.04703918844461441,
-0.03680415451526642,
0.02002180740237236,
0.004593721125274897,
-0.053322549909353256,
0.016817761585116386,
0.0885700061917305,
-0.002173418877646327,
0.017973199486732483,
0.02063155733048916,
0.06831519305706024,
0.024102654308080673,
-0.029672784730792046,
0.05558667331933975,
-0.06604823470115662,
-0.020080579444766045,
0.049440331757068634,
0.011537449434399605,
-0.06401924043893814,
0.03075912594795227,
0.037652939558029175,
-0.02927706204354763,
0.06049041450023651,
-0.014366408810019493,
-0.07643900066614151,
0.08228360861539841,
0.05735410749912262,
-0.005832884926348925,
0.025733547285199165,
0.00939186755567789,
0.010498877614736557,
0.008240795694291592,
0.08296353369951248,
-0.07640297710895538,
-0.041205957531929016,
0.07014019787311554,
-0.02345641329884529,
-0.11259865015745163,
0.09150522202253342,
-0.06274278461933136,
-0.0015966116916388273,
0.042357828468084335,
-0.06824590265750885,
0.09614399820566177,
-0.033748745918273926,
0.07196447998285294,
-3.9104808280399084e-8,
0.01879492960870266,
0.005825621075928211,
0.028644675388932228,
-0.05918783321976662,
-0.059962473809719086,
-0.00572366826236248,
0.02691359631717205,
-0.12591509521007538,
0.02507283166050911,
-0.06677018851041794,
0.03135158121585846,
-0.022363336756825447,
-0.03293248638510704,
-0.022235652431845665,
0.0011815365869551897,
0.06760335713624954,
0.05704179033637047,
0.013905411586165428,
-0.004205378703773022,
0.014821373857557774,
-0.02302522026002407,
0.0017561680870130658,
0.006450645159929991,
-0.0773424580693245,
-0.03257434442639351,
0.001982721732929349,
-0.06457043439149857,
-0.033135320991277695,
0.017448188737034798,
-0.009854602627456188,
0.04885787516832352,
0.020637936890125275,
0.05297384411096573,
0.08449045568704605,
-0.06361455470323563,
-0.016050288453698158,
-0.07319731265306473,
-0.02362743392586708,
-0.07877452671527863,
-0.026792306452989578,
0.07917334884405136,
0.03966880589723587,
-0.010557779110968113,
0.02672988921403885,
-0.08278466016054153,
0.052502475678920746,
0.045971035957336426,
0.11093857884407043,
-0.053260836750268936,
0.05495329573750496,
0.0026922086253762245,
-0.02489696443080902,
-0.04856244474649429,
-0.055756717920303345,
-0.031966615468263626,
0.041346125304698944,
0.016300102695822716,
-0.04593489319086075,
-0.028774376958608627,
0.02610241062939167,
-0.05443522706627846,
-0.0728602185845375,
-0.09180028736591339,
-0.02965412475168705
] | null | null | null | null | null | null | null | [
-0.005044860765337944,
-0.016235224902629852,
-0.0597478486597538,
0.02773924171924591,
0.003354631131514907,
-0.0012495878618210554,
0.04852062836289406,
-0.0072644115425646305,
-0.04531744122505188,
-0.003080561989918351,
0.03557901456952095,
0.027468163520097733,
-0.056004442274570465,
-0.045748937875032425,
0.012986586429178715,
-0.025584165006875992,
0.020350422710180283,
-0.03251424431800842,
0.03650883212685585,
0.05784225836396217,
0.00918072834610939,
-0.05325232073664665,
0.008246821351349354,
-0.007173609919846058,
-0.025888437405228615,
0.0804777666926384,
-0.033454529941082,
-0.013147249817848206,
-0.028273286297917366,
-0.050229158252477646,
0.010099208913743496,
0.03901707008481026,
-0.14395588636398315,
-0.021793469786643982,
-0.024881474673748016,
0.024845566600561142,
0.06365278363227844,
0.04133814200758934,
0.0057335663586854935,
-0.040498990565538406,
-0.021567290648818016,
0.011385873891413212,
0.01499644760042429,
0.05003559589385986,
-0.03245502710342407,
0.018696418032050133,
0.056239333003759384,
0.013422273099422455,
-0.029273342341184616,
-0.09456662833690643,
0.01432522851973772,
0.10819686949253082,
-0.00760952103883028,
0.09734734892845154,
-0.03719247505068779,
0.12052503228187561,
0.04884214326739311,
-0.04259539023041725,
-0.07751427590847015,
-0.033811356872320175,
0.03697291016578674,
-0.05567338317632675,
-0.0034627765417099,
-0.026720477268099785,
0.06886923313140869,
0.09972430765628815,
-0.0882764533162117,
-0.023119647055864334,
0.026489069685339928,
-0.027914488688111305,
0.04478684440255165,
-0.026317380368709564,
-0.05489591881632805,
0.00926386471837759,
0.08664241433143616,
0.0655040591955185,
0.027229279279708862,
0.0653141662478447,
0.04803818091750145,
0.010284097865223885,
-0.08890138566493988,
-0.06985613703727722,
0.021342560648918152,
0.11763735115528107,
0.005755976773798466,
-0.08416377007961273,
-0.07186168432235718,
0.014754185453057289,
-0.11851789802312851,
-0.045973144471645355,
0.01233699545264244,
0.043091703206300735,
0.014697767794132233,
-0.033848922699689865,
0.01912529021501541,
0.02162659540772438,
0.013777066953480244,
-0.04008546099066734,
0.07964339107275009,
0.033403750509023666,
0.029061725363135338,
-0.031449515372514725,
-0.008287625387310982,
0.04034402221441269,
-0.040534038096666336,
0.021314021199941635,
0.10739901661872864,
0.019103677943348885,
-0.15658040344715118,
-0.028651785105466843,
0.07020565122365952,
0.0569176971912384,
0.021863417699933052,
-0.06336843967437744,
-0.025339147076010704,
0.04493580758571625,
-0.04050353169441223,
0.07500296831130981,
0.1029926985502243,
0.051610205322504044,
-0.007127802819013596,
0.06468834728002548,
-0.03796347975730896,
0.040838055312633514,
0.05520552024245262,
0.018599437549710274,
-0.019991694018244743,
1.6887094905905364e-33,
-0.010376324877142906,
0.08268085867166519,
0.011292499490082264,
-0.09023084491491318,
-0.030780259519815445,
-0.024048741906881332,
0.014225107617676258,
-0.07502687722444534,
0.038258377462625504,
0.045844484120607376,
-0.04552245885133743,
-0.05408439412713051,
-0.013284931890666485,
-0.04503475874662399,
0.0013456298038363457,
-0.027004707604646683,
-0.01994265802204609,
-0.03522337228059769,
0.0001911913277581334,
-0.030776256695389748,
0.03197687491774559,
0.0428498275578022,
0.0070920344442129135,
-0.032776154577732086,
-0.012053774669766426,
0.049327775835990906,
-0.04063121974468231,
-0.07462703436613083,
0.014721828512847424,
0.014833532273769379,
0.047394514083862305,
0.09580942988395691,
0.044742949306964874,
0.04955527186393738,
0.11739703267812729,
0.04725777730345726,
0.01244532410055399,
-0.00037489825626835227,
0.05548933893442154,
-0.05188233405351639,
0.08447626233100891,
-0.012062161229550838,
-0.0025277785025537014,
0.07406515628099442,
0.03375214338302612,
-0.0771760642528534,
0.012503968551754951,
-0.10210603475570679,
-0.016255123540759087,
-0.06601212173700333,
0.013710767030715942,
-0.10253789275884628,
-0.03816496953368187,
-0.029659587889909744,
0.02928346022963524,
-0.07096157222986221,
0.04608254134654999,
0.059231165796518326,
-0.030977560207247734,
-0.0076353843323886395,
0.0823628157377243,
-0.037295397371053696,
0.01693326234817505,
-0.02468392625451088,
-0.025807861238718033,
0.018125388771295547,
0.025274351239204407,
-0.045749057084321976,
-0.0449024997651577,
-0.03846767917275429,
0.018995214253664017,
0.052703678607940674,
0.037834495306015015,
-0.001394952298142016,
0.04165564849972725,
0.01257583498954773,
0.045659031718969345,
-0.062390606850385666,
0.03207678347826004,
0.03966529294848442,
-0.07518775761127472,
-0.03514927998185158,
-0.1073693037033081,
-0.02679748833179474,
-0.004525761120021343,
0.03255538269877434,
-0.06904766708612442,
-0.11035095155239105,
-0.009977065958082676,
-0.03525466099381447,
0.03181670978665352,
0.0032928436994552612,
0.07730218768119812,
0.05511503666639328,
-0.08354698121547699,
-2.3789856710033002e-33,
-0.03756784275174141,
-0.00849398784339428,
0.10428350418806076,
0.04519091546535492,
0.0339941568672657,
0.04718063771724701,
0.003189197275787592,
0.034151412546634674,
0.0776168704032898,
0.08034741133451462,
0.041906408965587616,
0.039678338915109634,
0.028701739385724068,
-0.06683117151260376,
-0.05426083132624626,
0.059775594621896744,
0.11120551079511642,
-0.0533822737634182,
0.0737648457288742,
0.013622898608446121,
-0.026340274140238762,
0.02653961256146431,
0.01096661202609539,
0.012099076062440872,
0.005618775729089975,
0.017240749672055244,
0.04973994567990303,
-0.011050497181713581,
0.08529797941446304,
-0.0022301804274320602,
0.03132064267992973,
0.021389190107584,
-0.02928304113447666,
-0.053019069135189056,
-0.07399246096611023,
0.08285093307495117,
-0.13298675417900085,
-0.006677068304270506,
-0.08483733236789703,
0.027820367366075516,
-0.01885507069528103,
-0.015293794684112072,
-0.04095431789755821,
0.007458433508872986,
0.007660302799195051,
-0.010931845754384995,
-0.06274246424436569,
0.012348536401987076,
-0.06495368480682373,
-0.04703918844461441,
-0.03680415451526642,
0.02002180740237236,
0.004593721125274897,
-0.053322549909353256,
0.016817761585116386,
0.0885700061917305,
-0.002173418877646327,
0.017973199486732483,
0.02063155733048916,
0.06831519305706024,
0.024102654308080673,
-0.029672784730792046,
0.05558667331933975,
-0.06604823470115662,
-0.020080579444766045,
0.049440331757068634,
0.011537449434399605,
-0.06401924043893814,
0.03075912594795227,
0.037652939558029175,
-0.02927706204354763,
0.06049041450023651,
-0.014366408810019493,
-0.07643900066614151,
0.08228360861539841,
0.05735410749912262,
-0.005832884926348925,
0.025733547285199165,
0.00939186755567789,
0.010498877614736557,
0.008240795694291592,
0.08296353369951248,
-0.07640297710895538,
-0.041205957531929016,
0.07014019787311554,
-0.02345641329884529,
-0.11259865015745163,
0.09150522202253342,
-0.06274278461933136,
-0.0015966116916388273,
0.042357828468084335,
-0.06824590265750885,
0.09614399820566177,
-0.033748745918273926,
0.07196447998285294,
-3.9104808280399084e-8,
0.01879492960870266,
0.005825621075928211,
0.028644675388932228,
-0.05918783321976662,
-0.059962473809719086,
-0.00572366826236248,
0.02691359631717205,
-0.12591509521007538,
0.02507283166050911,
-0.06677018851041794,
0.03135158121585846,
-0.022363336756825447,
-0.03293248638510704,
-0.022235652431845665,
0.0011815365869551897,
0.06760335713624954,
0.05704179033637047,
0.013905411586165428,
-0.004205378703773022,
0.014821373857557774,
-0.02302522026002407,
0.0017561680870130658,
0.006450645159929991,
-0.0773424580693245,
-0.03257434442639351,
0.001982721732929349,
-0.06457043439149857,
-0.033135320991277695,
0.017448188737034798,
-0.009854602627456188,
0.04885787516832352,
0.020637936890125275,
0.05297384411096573,
0.08449045568704605,
-0.06361455470323563,
-0.016050288453698158,
-0.07319731265306473,
-0.02362743392586708,
-0.07877452671527863,
-0.026792306452989578,
0.07917334884405136,
0.03966880589723587,
-0.010557779110968113,
0.02672988921403885,
-0.08278466016054153,
0.052502475678920746,
0.045971035957336426,
0.11093857884407043,
-0.053260836750268936,
0.05495329573750496,
0.0026922086253762245,
-0.02489696443080902,
-0.04856244474649429,
-0.055756717920303345,
-0.031966615468263626,
0.041346125304698944,
0.016300102695822716,
-0.04593489319086075,
-0.028774376958608627,
0.02610241062939167,
-0.05443522706627846,
-0.0728602185845375,
-0.09180028736591339,
-0.02965412475168705
] |
1401.0376 | Chao Zhang | Chao Zhang, Lei Zhang, Wei Fan, Jieping Ye | Generalization Bounds for Representative Domain Adaptation | arXiv admin note: substantial text overlap with arXiv:1304.1574 | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we propose a novel framework to analyze the theoretical
properties of the learning process for a representative type of domain
adaptation, which combines data from multiple sources and one target (or
briefly called representative domain adaptation). In particular, we use the
integral probability metric to measure the difference between the distributions
of two domains and meanwhile compare it with the H-divergence and the
discrepancy distance. We develop the Hoeffding-type, the Bennett-type and the
McDiarmid-type deviation inequalities for multiple domains respectively, and
then present the symmetrization inequality for representative domain
adaptation. Next, we use the derived inequalities to obtain the Hoeffding-type
and the Bennett-type generalization bounds respectively, both of which are
based on the uniform entropy number. Moreover, we present the generalization
bounds based on the Rademacher complexity. Finally, we analyze the asymptotic
convergence and the rate of convergence of the learning process for
representative domain adaptation. We discuss the factors that affect the
asymptotic behavior of the learning process and the numerical experiments
support our theoretical findings as well. Meanwhile, we give a comparison with
the existing results of domain adaptation and the classical results under the
same-distribution assumption.
| [
{
"created": "Thu, 2 Jan 2014 07:32:01 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Zhang",
"Chao",
""
],
[
"Zhang",
"Lei",
""
],
[
"Fan",
"Wei",
""
],
[
"Ye",
"Jieping",
""
]
] | [
0.004706827457994223,
-0.11446034908294678,
0.005380422808229923,
-0.059569843113422394,
0.1194753423333168,
-0.046951066702604294,
0.031631067395210266,
-0.006091611925512552,
0.03060864843428135,
-0.04678500071167946,
-0.07864812761545181,
0.0007492643781006336,
0.08556286990642548,
-0.030426308512687683,
-0.029558658599853516,
-0.07087139785289764,
0.015030661597847939,
0.040095847100019455,
-0.07266591489315033,
0.024397490546107292,
0.07787370681762695,
0.0393136665225029,
0.03283768892288208,
0.003151726210489869,
0.0003428680938668549,
-0.07289689034223557,
0.05855771526694298,
0.021311210468411446,
-0.018693268299102783,
0.010597527958452702,
0.03861025720834732,
0.007436626125127077,
-0.029262175783514977,
-0.026101795956492424,
-0.044627267867326736,
0.04573368653655052,
-0.05485031381249428,
0.07497471570968628,
0.0036886970046907663,
0.048143547028303146,
-0.008611601777374744,
0.033373404294252396,
0.09049762040376663,
0.04508720710873604,
-0.006551777943968773,
0.08887115865945816,
-0.048420269042253494,
-0.11909665912389755,
0.009017889387905598,
-0.06670677661895752,
0.035419248044490814,
0.07433111220598221,
-0.04778342321515083,
0.028903283178806305,
-0.061534978449344635,
0.05626950412988663,
0.009922520257532597,
0.021621612831950188,
-0.029105914756655693,
0.03404229134321213,
-0.02385987900197506,
-0.07447627186775208,
-0.02367190644145012,
-0.023849688470363617,
-0.005526681896299124,
-0.031299617141485214,
0.04352299124002457,
0.024868695065379143,
-0.023589855059981346,
0.05623319000005722,
-0.08683930337429047,
0.037327840924263,
-0.13111625611782074,
0.04946648329496384,
0.08688861131668091,
0.011841066181659698,
0.04055657237768173,
0.09766177088022232,
0.03323129191994667,
-0.1172146201133728,
0.03656819462776184,
0.0851515457034111,
0.03979165479540825,
-0.035930804908275604,
0.15156428515911102,
-0.012376880273222923,
0.01125001348555088,
0.01266419142484665,
0.08274645358324051,
0.012512736953794956,
-0.0658714771270752,
-0.02706475928425789,
0.025031907483935356,
0.044813722372055054,
0.006033499259501696,
-0.05203636363148689,
0.0015330176101997495,
0.0020958895329385996,
0.050905901938676834,
0.09102786332368851,
-0.050144609063863754,
0.004091943614184856,
0.02986065112054348,
0.005564420484006405,
0.0567886084318161,
-0.06983423233032227,
0.02434118650853634,
0.0242161862552166,
0.04394230246543884,
-0.08105068653821945,
0.05375075712800026,
0.03372875228524208,
0.012552887201309204,
-0.0025999692734330893,
-0.041125670075416565,
-0.031997084617614746,
-0.029787437990307808,
-0.007871543057262897,
-0.0487557090818882,
-0.04655861482024193,
-0.07743532955646515,
-0.003912502434104681,
0.009018936194479465,
-0.017633603885769844,
0.019362296909093857,
-0.011961241252720356,
0.005259328987449408,
4.245880544217814e-34,
0.008041009306907654,
0.02036456950008869,
0.002690743887796998,
-0.020716045051813126,
-0.02491041086614132,
0.08357983082532883,
0.024783501401543617,
-0.030476825311779976,
0.05078823119401932,
0.01886889897286892,
-0.02647966518998146,
0.0987633764743805,
-0.07899603247642517,
-0.004268090706318617,
0.06993234157562256,
0.050085268914699554,
-0.055596355348825455,
0.08814788609743118,
0.03080904670059681,
-0.08115263283252716,
0.02000396139919758,
-0.010157713666558266,
-0.01651247963309288,
0.01071808859705925,
0.008883776143193245,
-0.07752526551485062,
-0.040705446153879166,
0.022290050983428955,
-0.05888020619750023,
0.0036078584380447865,
-0.06173098832368851,
-0.006590919569134712,
0.021916747093200684,
-0.03877852484583855,
0.04561955854296684,
-0.0900738313794136,
0.005747107323259115,
-0.0041083539836108685,
-0.05490211769938469,
-0.08992845565080643,
-0.007808164693415165,
0.0116627411916852,
0.08389900624752045,
-0.07999841123819351,
-0.05644221231341362,
-0.017922570928931236,
0.06981252133846283,
-0.04698453098535538,
-0.04819168522953987,
-0.07849016040563583,
0.0023107624147087336,
-0.0685025304555893,
0.009113386273384094,
-0.018328756093978882,
0.057596705853939056,
0.013467426411807537,
-0.0029390298295766115,
0.06587079167366028,
0.06449811905622482,
0.04362630471587181,
-0.06990695744752884,
0.046793416142463684,
0.03715027868747711,
0.06181210279464722,
0.07734908163547516,
0.03976031765341759,
0.0050549437291920185,
-0.06005983054637909,
0.06229802966117859,
-0.04428942874073982,
0.04818093776702881,
0.034873418509960175,
-0.11411348730325699,
-0.01730555109679699,
0.037188149988651276,
0.007463754154741764,
-0.0009729059529490769,
-0.030820801854133606,
-0.06284457445144653,
0.07505308091640472,
-0.07831602543592453,
-0.02347821556031704,
-0.02927022986114025,
-0.046387724578380585,
-0.06344813853502274,
-0.01640944555401802,
-0.00900663249194622,
-0.10599115490913391,
-0.019307967275381088,
-0.057838324457407,
-0.07352498918771744,
-0.019145270809531212,
-0.03284039720892906,
-0.003305822378024459,
0.009127279743552208,
-1.710468442037234e-33,
-0.08065659552812576,
-0.016038455069065094,
0.026267316192388535,
0.03956286609172821,
-0.03163512796163559,
0.03473260998725891,
0.01381614152342081,
0.06497948616743088,
-0.05800320953130722,
-0.13131168484687805,
-0.06952247023582458,
-0.04339500889182091,
0.018084032461047173,
-0.09343753010034561,
-0.05240323767066002,
0.09745653718709946,
-0.06112627312541008,
0.07367438077926636,
-0.005691896192729473,
0.0403175912797451,
0.03767828643321991,
0.08795717358589172,
-0.03843587264418602,
0.06420525908470154,
-0.007780314423143864,
0.011620578356087208,
0.009755944833159447,
0.13459047675132751,
-0.041505035012960434,
-0.03934244066476822,
-0.022369641810655594,
-0.03830322250723839,
-0.07179468125104904,
0.06665467470884323,
-0.06335531920194626,
-0.026690738275647163,
0.0672101229429245,
0.09643562883138657,
-0.09401901066303253,
0.12750336527824402,
-0.008865929208695889,
-0.02690276876091957,
-0.03252008929848671,
-0.03563300892710686,
0.033094439655542374,
-0.005323626566678286,
-0.028927834704518318,
-0.008826205506920815,
0.08528114855289459,
0.0025766619946807623,
0.015522981993854046,
-0.014100220985710621,
0.004211772698909044,
0.02112472802400589,
-0.04304023087024689,
-0.008923971094191074,
0.03906090185046196,
0.004361879546195269,
0.08521915227174759,
0.005757872946560383,
-0.049254611134529114,
0.00632752850651741,
0.02692728489637375,
0.11544583737850189,
-0.02333933673799038,
0.04997503012418747,
-0.04994881898164749,
0.0071485466323792934,
0.025960054248571396,
0.06347108632326126,
0.036787547171115875,
0.006172888446599245,
0.013821897096931934,
-0.02072923630475998,
-0.031122557818889618,
-0.0069748410023748875,
0.11583663523197174,
0.027538875117897987,
-0.06941021233797073,
0.010869479738175869,
0.014917115680873394,
0.04435570165514946,
0.07947730273008347,
0.050290290266275406,
-0.015484531410038471,
0.10050662606954575,
0.10657914727926254,
-0.03569435328245163,
0.020876426249742508,
-0.1034388616681099,
0.005666131153702736,
0.08075452595949173,
0.008124233223497868,
-0.010445383377373219,
-0.0239980798214674,
-4.709486844944877e-8,
-0.010762632824480534,
-0.07682912796735764,
-0.01975140906870365,
-0.06206168234348297,
0.06402026861906052,
0.01080239750444889,
-0.10744038969278336,
0.03156066685914993,
-0.08499617874622345,
0.05071939155459404,
0.004409343469887972,
0.0702805146574974,
-0.017739426344633102,
0.046731580048799515,
-0.03045465610921383,
0.041699446737766266,
-0.0358884297311306,
0.011957455426454544,
-0.0011900672689080238,
-0.02556961588561535,
0.022859103977680206,
-0.0014599529094994068,
0.0772409439086914,
-0.033697061240673065,
0.05950796231627464,
-0.1084761843085289,
-0.011651495471596718,
-0.03486022725701332,
0.02429741993546486,
0.004485360812395811,
0.001394469290971756,
0.04479137063026428,
0.02927330508828163,
0.007834786549210548,
0.059872984886169434,
-0.0077858418226242065,
-0.018566684797406197,
-0.04093101993203163,
-0.04359642416238785,
-0.042662329971790314,
-0.011286472901701927,
0.07580654323101044,
0.002519613364711404,
-0.007729539647698402,
0.0518726110458374,
-0.008725485764443874,
0.04289557784795761,
0.014487198553979397,
0.044674355536699295,
-0.007180867716670036,
0.04577881842851639,
0.06630414724349976,
-0.024255042895674706,
-0.0075525944121181965,
0.03727412968873978,
-0.0324455089867115,
-0.03743703290820122,
-0.09634354710578918,
0.03675704449415207,
0.0024862028658390045,
-0.001074695959687233,
-0.018475379794836044,
-0.05409310758113861,
0.02001836523413658
] | null | null | null | null | null | null | null | [
0.004706827457994223,
-0.11446034908294678,
0.005380422808229923,
-0.059569843113422394,
0.1194753423333168,
-0.046951066702604294,
0.031631067395210266,
-0.006091611925512552,
0.03060864843428135,
-0.04678500071167946,
-0.07864812761545181,
0.0007492643781006336,
0.08556286990642548,
-0.030426308512687683,
-0.029558658599853516,
-0.07087139785289764,
0.015030661597847939,
0.040095847100019455,
-0.07266591489315033,
0.024397490546107292,
0.07787370681762695,
0.0393136665225029,
0.03283768892288208,
0.003151726210489869,
0.0003428680938668549,
-0.07289689034223557,
0.05855771526694298,
0.021311210468411446,
-0.018693268299102783,
0.010597527958452702,
0.03861025720834732,
0.007436626125127077,
-0.029262175783514977,
-0.026101795956492424,
-0.044627267867326736,
0.04573368653655052,
-0.05485031381249428,
0.07497471570968628,
0.0036886970046907663,
0.048143547028303146,
-0.008611601777374744,
0.033373404294252396,
0.09049762040376663,
0.04508720710873604,
-0.006551777943968773,
0.08887115865945816,
-0.048420269042253494,
-0.11909665912389755,
0.009017889387905598,
-0.06670677661895752,
0.035419248044490814,
0.07433111220598221,
-0.04778342321515083,
0.028903283178806305,
-0.061534978449344635,
0.05626950412988663,
0.009922520257532597,
0.021621612831950188,
-0.029105914756655693,
0.03404229134321213,
-0.02385987900197506,
-0.07447627186775208,
-0.02367190644145012,
-0.023849688470363617,
-0.005526681896299124,
-0.031299617141485214,
0.04352299124002457,
0.024868695065379143,
-0.023589855059981346,
0.05623319000005722,
-0.08683930337429047,
0.037327840924263,
-0.13111625611782074,
0.04946648329496384,
0.08688861131668091,
0.011841066181659698,
0.04055657237768173,
0.09766177088022232,
0.03323129191994667,
-0.1172146201133728,
0.03656819462776184,
0.0851515457034111,
0.03979165479540825,
-0.035930804908275604,
0.15156428515911102,
-0.012376880273222923,
0.01125001348555088,
0.01266419142484665,
0.08274645358324051,
0.012512736953794956,
-0.0658714771270752,
-0.02706475928425789,
0.025031907483935356,
0.044813722372055054,
0.006033499259501696,
-0.05203636363148689,
0.0015330176101997495,
0.0020958895329385996,
0.050905901938676834,
0.09102786332368851,
-0.050144609063863754,
0.004091943614184856,
0.02986065112054348,
0.005564420484006405,
0.0567886084318161,
-0.06983423233032227,
0.02434118650853634,
0.0242161862552166,
0.04394230246543884,
-0.08105068653821945,
0.05375075712800026,
0.03372875228524208,
0.012552887201309204,
-0.0025999692734330893,
-0.041125670075416565,
-0.031997084617614746,
-0.029787437990307808,
-0.007871543057262897,
-0.0487557090818882,
-0.04655861482024193,
-0.07743532955646515,
-0.003912502434104681,
0.009018936194479465,
-0.017633603885769844,
0.019362296909093857,
-0.011961241252720356,
0.005259328987449408,
4.245880544217814e-34,
0.008041009306907654,
0.02036456950008869,
0.002690743887796998,
-0.020716045051813126,
-0.02491041086614132,
0.08357983082532883,
0.024783501401543617,
-0.030476825311779976,
0.05078823119401932,
0.01886889897286892,
-0.02647966518998146,
0.0987633764743805,
-0.07899603247642517,
-0.004268090706318617,
0.06993234157562256,
0.050085268914699554,
-0.055596355348825455,
0.08814788609743118,
0.03080904670059681,
-0.08115263283252716,
0.02000396139919758,
-0.010157713666558266,
-0.01651247963309288,
0.01071808859705925,
0.008883776143193245,
-0.07752526551485062,
-0.040705446153879166,
0.022290050983428955,
-0.05888020619750023,
0.0036078584380447865,
-0.06173098832368851,
-0.006590919569134712,
0.021916747093200684,
-0.03877852484583855,
0.04561955854296684,
-0.0900738313794136,
0.005747107323259115,
-0.0041083539836108685,
-0.05490211769938469,
-0.08992845565080643,
-0.007808164693415165,
0.0116627411916852,
0.08389900624752045,
-0.07999841123819351,
-0.05644221231341362,
-0.017922570928931236,
0.06981252133846283,
-0.04698453098535538,
-0.04819168522953987,
-0.07849016040563583,
0.0023107624147087336,
-0.0685025304555893,
0.009113386273384094,
-0.018328756093978882,
0.057596705853939056,
0.013467426411807537,
-0.0029390298295766115,
0.06587079167366028,
0.06449811905622482,
0.04362630471587181,
-0.06990695744752884,
0.046793416142463684,
0.03715027868747711,
0.06181210279464722,
0.07734908163547516,
0.03976031765341759,
0.0050549437291920185,
-0.06005983054637909,
0.06229802966117859,
-0.04428942874073982,
0.04818093776702881,
0.034873418509960175,
-0.11411348730325699,
-0.01730555109679699,
0.037188149988651276,
0.007463754154741764,
-0.0009729059529490769,
-0.030820801854133606,
-0.06284457445144653,
0.07505308091640472,
-0.07831602543592453,
-0.02347821556031704,
-0.02927022986114025,
-0.046387724578380585,
-0.06344813853502274,
-0.01640944555401802,
-0.00900663249194622,
-0.10599115490913391,
-0.019307967275381088,
-0.057838324457407,
-0.07352498918771744,
-0.019145270809531212,
-0.03284039720892906,
-0.003305822378024459,
0.009127279743552208,
-1.710468442037234e-33,
-0.08065659552812576,
-0.016038455069065094,
0.026267316192388535,
0.03956286609172821,
-0.03163512796163559,
0.03473260998725891,
0.01381614152342081,
0.06497948616743088,
-0.05800320953130722,
-0.13131168484687805,
-0.06952247023582458,
-0.04339500889182091,
0.018084032461047173,
-0.09343753010034561,
-0.05240323767066002,
0.09745653718709946,
-0.06112627312541008,
0.07367438077926636,
-0.005691896192729473,
0.0403175912797451,
0.03767828643321991,
0.08795717358589172,
-0.03843587264418602,
0.06420525908470154,
-0.007780314423143864,
0.011620578356087208,
0.009755944833159447,
0.13459047675132751,
-0.041505035012960434,
-0.03934244066476822,
-0.022369641810655594,
-0.03830322250723839,
-0.07179468125104904,
0.06665467470884323,
-0.06335531920194626,
-0.026690738275647163,
0.0672101229429245,
0.09643562883138657,
-0.09401901066303253,
0.12750336527824402,
-0.008865929208695889,
-0.02690276876091957,
-0.03252008929848671,
-0.03563300892710686,
0.033094439655542374,
-0.005323626566678286,
-0.028927834704518318,
-0.008826205506920815,
0.08528114855289459,
0.0025766619946807623,
0.015522981993854046,
-0.014100220985710621,
0.004211772698909044,
0.02112472802400589,
-0.04304023087024689,
-0.008923971094191074,
0.03906090185046196,
0.004361879546195269,
0.08521915227174759,
0.005757872946560383,
-0.049254611134529114,
0.00632752850651741,
0.02692728489637375,
0.11544583737850189,
-0.02333933673799038,
0.04997503012418747,
-0.04994881898164749,
0.0071485466323792934,
0.025960054248571396,
0.06347108632326126,
0.036787547171115875,
0.006172888446599245,
0.013821897096931934,
-0.02072923630475998,
-0.031122557818889618,
-0.0069748410023748875,
0.11583663523197174,
0.027538875117897987,
-0.06941021233797073,
0.010869479738175869,
0.014917115680873394,
0.04435570165514946,
0.07947730273008347,
0.050290290266275406,
-0.015484531410038471,
0.10050662606954575,
0.10657914727926254,
-0.03569435328245163,
0.020876426249742508,
-0.1034388616681099,
0.005666131153702736,
0.08075452595949173,
0.008124233223497868,
-0.010445383377373219,
-0.0239980798214674,
-4.709486844944877e-8,
-0.010762632824480534,
-0.07682912796735764,
-0.01975140906870365,
-0.06206168234348297,
0.06402026861906052,
0.01080239750444889,
-0.10744038969278336,
0.03156066685914993,
-0.08499617874622345,
0.05071939155459404,
0.004409343469887972,
0.0702805146574974,
-0.017739426344633102,
0.046731580048799515,
-0.03045465610921383,
0.041699446737766266,
-0.0358884297311306,
0.011957455426454544,
-0.0011900672689080238,
-0.02556961588561535,
0.022859103977680206,
-0.0014599529094994068,
0.0772409439086914,
-0.033697061240673065,
0.05950796231627464,
-0.1084761843085289,
-0.011651495471596718,
-0.03486022725701332,
0.02429741993546486,
0.004485360812395811,
0.001394469290971756,
0.04479137063026428,
0.02927330508828163,
0.007834786549210548,
0.059872984886169434,
-0.0077858418226242065,
-0.018566684797406197,
-0.04093101993203163,
-0.04359642416238785,
-0.042662329971790314,
-0.011286472901701927,
0.07580654323101044,
0.002519613364711404,
-0.007729539647698402,
0.0518726110458374,
-0.008725485764443874,
0.04289557784795761,
0.014487198553979397,
0.044674355536699295,
-0.007180867716670036,
0.04577881842851639,
0.06630414724349976,
-0.024255042895674706,
-0.0075525944121181965,
0.03727412968873978,
-0.0324455089867115,
-0.03743703290820122,
-0.09634354710578918,
0.03675704449415207,
0.0024862028658390045,
-0.001074695959687233,
-0.018475379794836044,
-0.05409310758113861,
0.02001836523413658
] |
1401.0379 | Pierre Lescanne | Katarzyna Grygiel, Pierre Lescanne (LIP) | Counting Terms in the Binary Lambda Calculus | null | null | null | null | cs.LO cs.DM cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a paper entitled Binary lambda calculus and combinatory logic, John Tromp
presents a simple way of encoding lambda calculus terms as binary sequences. In
what follows, we study the numbers of binary strings of a given size that
represent lambda terms and derive results from their generating functions,
especially that the number of terms of size n grows roughly like 1.963447954^n.
| [
{
"created": "Thu, 2 Jan 2014 07:43:54 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Grygiel",
"Katarzyna",
"",
"LIP"
],
[
"Lescanne",
"Pierre",
"",
"LIP"
]
] | [
0.005895472131669521,
0.003887838451191783,
-0.044013310223817825,
-0.018273714929819107,
-0.08461438119411469,
0.013009446673095226,
0.09185858070850372,
-0.011960329487919807,
0.03388016298413277,
-0.03333889693021774,
-0.03256574273109436,
-0.015056456439197063,
0.03812343254685402,
-0.002279784996062517,
0.0053058466874063015,
0.09181056171655655,
-0.048459846526384354,
-0.03266289085149765,
0.009311925619840622,
-0.007414435036480427,
0.020487340167164803,
0.016408847644925117,
-0.04918218404054642,
-0.005293979309499264,
-0.0021755557972937822,
-0.09729783982038498,
-0.07660616934299469,
-0.026978110894560814,
0.07782735675573349,
0.05684836208820343,
-0.02214771695435047,
0.0539138987660408,
0.03991183638572693,
0.011543099768459797,
0.042554356157779694,
0.0017593615921214223,
0.0045606764033436775,
-0.028508009389042854,
-0.004727084655314684,
0.06127886846661568,
0.006531175225973129,
0.002406270243227482,
0.011084119789302349,
0.059272002428770065,
0.01727236807346344,
0.04434314742684364,
0.040729377418756485,
0.09123332798480988,
-0.08923590928316116,
-0.07065057009458542,
-0.018233871087431908,
0.07878456264734268,
-0.05129561200737953,
0.0018341414397582412,
0.04295974597334862,
-0.0749441608786583,
-0.032710760831832886,
-0.043794021010398865,
-0.007901211269199848,
-0.02049841359257698,
-0.07954911142587662,
-0.07131584733724594,
-0.04498753696680069,
-0.019804343581199646,
-0.005844772793352604,
-0.011338602751493454,
0.06324679404497147,
-0.04008288308978081,
0.0630495548248291,
0.07778680324554443,
-0.06230274960398674,
-0.04868707433342934,
-0.06898101419210434,
0.0077978093177080154,
0.03855213150382042,
0.021088559180498123,
0.13583597540855408,
-0.019173558801412582,
-0.051902737468481064,
0.021092776209115982,
-0.07880614697933197,
-0.0076912580989301205,
0.02385370060801506,
0.026587259024381638,
-0.020709235221147537,
0.01893804781138897,
-0.018310129642486572,
0.014994517900049686,
0.024518342688679695,
0.09626012295484543,
-0.07041411846876144,
-0.07145965844392776,
0.14887291193008423,
0.02119581215083599,
-0.06612697243690491,
-0.0003126984811387956,
-0.005509128328412771,
-0.05420585721731186,
0.07665861397981644,
0.07346811890602112,
-0.059066567569971085,
0.009271251037716866,
0.06531801074743271,
-0.033397380262613297,
-0.003114441642537713,
0.0009460329310968518,
-0.025606701150536537,
0.03557103872299194,
-0.014496371150016785,
-0.0362984724342823,
0.034768346697092056,
-0.01733761467039585,
0.05046885833144188,
0.013566405512392521,
-0.08891931176185608,
-0.03386933356523514,
-0.031146908178925514,
0.03674285113811493,
0.06690467149019241,
0.01359968539327383,
0.09388112276792526,
0.017590627074241638,
-0.013378238305449486,
0.006217861548066139,
-0.030968979001045227,
-0.031886421144008636,
-0.02212728187441826,
1.4600994410781141e-33,
0.02478938363492489,
-0.00708445580676198,
0.06848509609699249,
0.04775584861636162,
0.05345543473958969,
0.025701522827148438,
0.048038024455308914,
-0.00022925781377125531,
-0.014827596955001354,
0.06366565078496933,
-0.006161320488899946,
0.11556775867938995,
0.038298338651657104,
0.05605211853981018,
0.0203037578612566,
-0.03606441244482994,
0.041675224900245667,
0.03366469591856003,
0.04408595338463783,
-0.06307008862495422,
0.035551078617572784,
0.048165079206228256,
0.032947685569524765,
0.02161170355975628,
-0.01238697674125433,
0.02057664841413498,
0.0187485720962286,
-0.05471060052514076,
-0.00334087572991848,
0.02544417791068554,
-0.053144849836826324,
0.012564541772007942,
0.07625535130500793,
0.025295546278357506,
0.06058431416749954,
0.01744811236858368,
-0.004610831383615732,
-0.06708270311355591,
0.05801757797598839,
0.030369114130735397,
-0.050582095980644226,
0.02882409282028675,
0.037406377494335175,
-0.008259913884103298,
-0.04889499396085739,
0.006015602964907885,
0.04555271938443184,
-0.03677726909518242,
-0.03780767694115639,
0.023312365636229515,
0.015291400253772736,
0.006740012671798468,
-0.02333821915090084,
0.01910739205777645,
0.02540310099720955,
0.04767584055662155,
-0.03165484964847565,
0.03232425078749657,
-0.0010336129926145077,
0.10054653882980347,
-0.07523118704557419,
0.022027278319001198,
0.06482724100351334,
-0.018013358116149902,
0.02872002124786377,
-0.10728040337562561,
-0.012658359482884407,
-0.06158457323908806,
0.1117001548409462,
-0.00968820322304964,
-0.042336802929639816,
0.032087940722703934,
0.01097307913005352,
-0.09077784419059753,
0.08598188310861588,
-0.09045320749282837,
-0.038784466683864594,
-0.15308472514152527,
-0.07744200527667999,
0.03348967432975769,
-0.025647105649113655,
0.029833417385816574,
0.05837399140000343,
-0.06198616325855255,
0.005164978094398975,
-0.001165524940006435,
-0.04495788365602493,
-0.045550741255283356,
-0.019920405000448227,
-0.11714042723178864,
-0.0709969624876976,
-0.0737026259303093,
0.015477017499506474,
-0.09297938644886017,
0.040595196187496185,
-3.979002459785364e-33,
-0.10732463747262955,
-0.034186478704214096,
-0.013721019960939884,
0.05667570233345032,
-0.041126251220703125,
-0.06414823234081268,
-0.005469024181365967,
0.051045723259449005,
-0.014834088273346424,
-0.048481885343790054,
0.021420974284410477,
0.06603685766458511,
0.009875284507870674,
-0.006607287097722292,
-0.06610186398029327,
-0.05882691964507103,
0.00787524413317442,
0.020638681948184967,
-0.009700271300971508,
-0.00706738093867898,
0.05958897992968559,
0.041784707456827164,
-0.04936075583100319,
-0.014769468456506729,
-0.007385441102087498,
-0.0016230654437094927,
0.02841857634484768,
0.06277258694171906,
0.09399476647377014,
0.06786558032035828,
-0.015157071873545647,
-0.026090025901794434,
0.0034441291354596615,
-0.020294740796089172,
-0.027039898559451103,
-0.12722130119800568,
0.1374533474445343,
0.1168014258146286,
-0.028011739253997803,
0.01904536783695221,
0.05238725617527962,
-0.04094512760639191,
0.1346300095319748,
-0.05581827461719513,
0.022574393078684807,
-0.007057851180434227,
-0.041075438261032104,
0.004208757076412439,
-0.008089855313301086,
-0.04012599214911461,
0.03969459980726242,
0.011427858844399452,
-0.05501001328229904,
0.005014589987695217,
-0.011065538041293621,
-0.0186307430267334,
-0.04156871140003204,
0.023695986717939377,
0.038771986961364746,
-0.025809720158576965,
-0.016666674986481667,
0.02279399335384369,
0.08248510211706161,
0.0029122442938387394,
0.004540550988167524,
-0.022461920976638794,
-0.08349805325269699,
-0.1060696467757225,
0.003954142332077026,
-0.034860748797655106,
0.005364648066461086,
-0.006969348527491093,
-0.05467225983738899,
0.002823992632329464,
-0.07820691168308258,
-0.028723113238811493,
-0.013481834903359413,
-0.05414171889424324,
0.011689618229866028,
0.035693082958459854,
-0.013034302741289139,
-0.0009630651329644024,
0.0918949618935585,
0.0648663267493248,
-0.027746666222810745,
-0.10185474157333374,
0.13848896324634552,
0.04649960249662399,
-0.027531804516911507,
0.00992081593722105,
-0.03208975866436958,
0.053662512451410294,
0.07042919844388962,
0.0034108348190784454,
0.03498313948512077,
-3.841118711989111e-8,
0.0009299576049670577,
0.015032700262963772,
-0.1177675649523735,
0.007205032743513584,
0.06835445761680603,
0.06875380128622055,
-0.057795800268650055,
0.010702017694711685,
-0.032971762120723724,
-0.05607791244983673,
0.06378943473100662,
0.07213523238897324,
-0.052290841937065125,
-0.005155922845005989,
0.05564530938863754,
0.0462014339864254,
-0.023015474900603294,
-0.07688518613576889,
-0.022525932639837265,
0.016816604882478714,
-0.038321513682603836,
0.06521736830472946,
-0.05055313929915428,
0.008950402028858662,
-0.055175695568323135,
-0.02180294506251812,
-0.04103996232151985,
0.000785787240602076,
-0.010440471582114697,
-0.005850930232554674,
0.03290044888854027,
0.03609386086463928,
-0.012807974591851234,
-0.04406936839222908,
-0.056030742824077606,
0.05218908190727234,
-0.09848497807979584,
-0.07578430324792862,
0.04471999779343605,
-0.04205158352851868,
0.02442658506333828,
-0.07363412529230118,
0.018741587176918983,
0.011966402642428875,
-0.018027562648057938,
-0.12670475244522095,
-0.03282730653882027,
0.0019307559123262763,
-0.10212337225675583,
0.030745426192879677,
0.03168845176696777,
0.014761975035071373,
-0.0475187674164772,
-0.0761820450425148,
0.04999935254454613,
0.05600559338927269,
-0.05680809170007706,
-0.10754769295454025,
-0.02288741245865822,
0.08553720265626907,
-0.03007255308330059,
0.015043226070702076,
0.10183913260698318,
-0.05757192149758339
] | null | null | null | null | null | null | null | [
0.005895472131669521,
0.003887838451191783,
-0.044013310223817825,
-0.018273714929819107,
-0.08461438119411469,
0.013009446673095226,
0.09185858070850372,
-0.011960329487919807,
0.03388016298413277,
-0.03333889693021774,
-0.03256574273109436,
-0.015056456439197063,
0.03812343254685402,
-0.002279784996062517,
0.0053058466874063015,
0.09181056171655655,
-0.048459846526384354,
-0.03266289085149765,
0.009311925619840622,
-0.007414435036480427,
0.020487340167164803,
0.016408847644925117,
-0.04918218404054642,
-0.005293979309499264,
-0.0021755557972937822,
-0.09729783982038498,
-0.07660616934299469,
-0.026978110894560814,
0.07782735675573349,
0.05684836208820343,
-0.02214771695435047,
0.0539138987660408,
0.03991183638572693,
0.011543099768459797,
0.042554356157779694,
0.0017593615921214223,
0.0045606764033436775,
-0.028508009389042854,
-0.004727084655314684,
0.06127886846661568,
0.006531175225973129,
0.002406270243227482,
0.011084119789302349,
0.059272002428770065,
0.01727236807346344,
0.04434314742684364,
0.040729377418756485,
0.09123332798480988,
-0.08923590928316116,
-0.07065057009458542,
-0.018233871087431908,
0.07878456264734268,
-0.05129561200737953,
0.0018341414397582412,
0.04295974597334862,
-0.0749441608786583,
-0.032710760831832886,
-0.043794021010398865,
-0.007901211269199848,
-0.02049841359257698,
-0.07954911142587662,
-0.07131584733724594,
-0.04498753696680069,
-0.019804343581199646,
-0.005844772793352604,
-0.011338602751493454,
0.06324679404497147,
-0.04008288308978081,
0.0630495548248291,
0.07778680324554443,
-0.06230274960398674,
-0.04868707433342934,
-0.06898101419210434,
0.0077978093177080154,
0.03855213150382042,
0.021088559180498123,
0.13583597540855408,
-0.019173558801412582,
-0.051902737468481064,
0.021092776209115982,
-0.07880614697933197,
-0.0076912580989301205,
0.02385370060801506,
0.026587259024381638,
-0.020709235221147537,
0.01893804781138897,
-0.018310129642486572,
0.014994517900049686,
0.024518342688679695,
0.09626012295484543,
-0.07041411846876144,
-0.07145965844392776,
0.14887291193008423,
0.02119581215083599,
-0.06612697243690491,
-0.0003126984811387956,
-0.005509128328412771,
-0.05420585721731186,
0.07665861397981644,
0.07346811890602112,
-0.059066567569971085,
0.009271251037716866,
0.06531801074743271,
-0.033397380262613297,
-0.003114441642537713,
0.0009460329310968518,
-0.025606701150536537,
0.03557103872299194,
-0.014496371150016785,
-0.0362984724342823,
0.034768346697092056,
-0.01733761467039585,
0.05046885833144188,
0.013566405512392521,
-0.08891931176185608,
-0.03386933356523514,
-0.031146908178925514,
0.03674285113811493,
0.06690467149019241,
0.01359968539327383,
0.09388112276792526,
0.017590627074241638,
-0.013378238305449486,
0.006217861548066139,
-0.030968979001045227,
-0.031886421144008636,
-0.02212728187441826,
1.4600994410781141e-33,
0.02478938363492489,
-0.00708445580676198,
0.06848509609699249,
0.04775584861636162,
0.05345543473958969,
0.025701522827148438,
0.048038024455308914,
-0.00022925781377125531,
-0.014827596955001354,
0.06366565078496933,
-0.006161320488899946,
0.11556775867938995,
0.038298338651657104,
0.05605211853981018,
0.0203037578612566,
-0.03606441244482994,
0.041675224900245667,
0.03366469591856003,
0.04408595338463783,
-0.06307008862495422,
0.035551078617572784,
0.048165079206228256,
0.032947685569524765,
0.02161170355975628,
-0.01238697674125433,
0.02057664841413498,
0.0187485720962286,
-0.05471060052514076,
-0.00334087572991848,
0.02544417791068554,
-0.053144849836826324,
0.012564541772007942,
0.07625535130500793,
0.025295546278357506,
0.06058431416749954,
0.01744811236858368,
-0.004610831383615732,
-0.06708270311355591,
0.05801757797598839,
0.030369114130735397,
-0.050582095980644226,
0.02882409282028675,
0.037406377494335175,
-0.008259913884103298,
-0.04889499396085739,
0.006015602964907885,
0.04555271938443184,
-0.03677726909518242,
-0.03780767694115639,
0.023312365636229515,
0.015291400253772736,
0.006740012671798468,
-0.02333821915090084,
0.01910739205777645,
0.02540310099720955,
0.04767584055662155,
-0.03165484964847565,
0.03232425078749657,
-0.0010336129926145077,
0.10054653882980347,
-0.07523118704557419,
0.022027278319001198,
0.06482724100351334,
-0.018013358116149902,
0.02872002124786377,
-0.10728040337562561,
-0.012658359482884407,
-0.06158457323908806,
0.1117001548409462,
-0.00968820322304964,
-0.042336802929639816,
0.032087940722703934,
0.01097307913005352,
-0.09077784419059753,
0.08598188310861588,
-0.09045320749282837,
-0.038784466683864594,
-0.15308472514152527,
-0.07744200527667999,
0.03348967432975769,
-0.025647105649113655,
0.029833417385816574,
0.05837399140000343,
-0.06198616325855255,
0.005164978094398975,
-0.001165524940006435,
-0.04495788365602493,
-0.045550741255283356,
-0.019920405000448227,
-0.11714042723178864,
-0.0709969624876976,
-0.0737026259303093,
0.015477017499506474,
-0.09297938644886017,
0.040595196187496185,
-3.979002459785364e-33,
-0.10732463747262955,
-0.034186478704214096,
-0.013721019960939884,
0.05667570233345032,
-0.041126251220703125,
-0.06414823234081268,
-0.005469024181365967,
0.051045723259449005,
-0.014834088273346424,
-0.048481885343790054,
0.021420974284410477,
0.06603685766458511,
0.009875284507870674,
-0.006607287097722292,
-0.06610186398029327,
-0.05882691964507103,
0.00787524413317442,
0.020638681948184967,
-0.009700271300971508,
-0.00706738093867898,
0.05958897992968559,
0.041784707456827164,
-0.04936075583100319,
-0.014769468456506729,
-0.007385441102087498,
-0.0016230654437094927,
0.02841857634484768,
0.06277258694171906,
0.09399476647377014,
0.06786558032035828,
-0.015157071873545647,
-0.026090025901794434,
0.0034441291354596615,
-0.020294740796089172,
-0.027039898559451103,
-0.12722130119800568,
0.1374533474445343,
0.1168014258146286,
-0.028011739253997803,
0.01904536783695221,
0.05238725617527962,
-0.04094512760639191,
0.1346300095319748,
-0.05581827461719513,
0.022574393078684807,
-0.007057851180434227,
-0.041075438261032104,
0.004208757076412439,
-0.008089855313301086,
-0.04012599214911461,
0.03969459980726242,
0.011427858844399452,
-0.05501001328229904,
0.005014589987695217,
-0.011065538041293621,
-0.0186307430267334,
-0.04156871140003204,
0.023695986717939377,
0.038771986961364746,
-0.025809720158576965,
-0.016666674986481667,
0.02279399335384369,
0.08248510211706161,
0.0029122442938387394,
0.004540550988167524,
-0.022461920976638794,
-0.08349805325269699,
-0.1060696467757225,
0.003954142332077026,
-0.034860748797655106,
0.005364648066461086,
-0.006969348527491093,
-0.05467225983738899,
0.002823992632329464,
-0.07820691168308258,
-0.028723113238811493,
-0.013481834903359413,
-0.05414171889424324,
0.011689618229866028,
0.035693082958459854,
-0.013034302741289139,
-0.0009630651329644024,
0.0918949618935585,
0.0648663267493248,
-0.027746666222810745,
-0.10185474157333374,
0.13848896324634552,
0.04649960249662399,
-0.027531804516911507,
0.00992081593722105,
-0.03208975866436958,
0.053662512451410294,
0.07042919844388962,
0.0034108348190784454,
0.03498313948512077,
-3.841118711989111e-8,
0.0009299576049670577,
0.015032700262963772,
-0.1177675649523735,
0.007205032743513584,
0.06835445761680603,
0.06875380128622055,
-0.057795800268650055,
0.010702017694711685,
-0.032971762120723724,
-0.05607791244983673,
0.06378943473100662,
0.07213523238897324,
-0.052290841937065125,
-0.005155922845005989,
0.05564530938863754,
0.0462014339864254,
-0.023015474900603294,
-0.07688518613576889,
-0.022525932639837265,
0.016816604882478714,
-0.038321513682603836,
0.06521736830472946,
-0.05055313929915428,
0.008950402028858662,
-0.055175695568323135,
-0.02180294506251812,
-0.04103996232151985,
0.000785787240602076,
-0.010440471582114697,
-0.005850930232554674,
0.03290044888854027,
0.03609386086463928,
-0.012807974591851234,
-0.04406936839222908,
-0.056030742824077606,
0.05218908190727234,
-0.09848497807979584,
-0.07578430324792862,
0.04471999779343605,
-0.04205158352851868,
0.02442658506333828,
-0.07363412529230118,
0.018741587176918983,
0.011966402642428875,
-0.018027562648057938,
-0.12670475244522095,
-0.03282730653882027,
0.0019307559123262763,
-0.10212337225675583,
0.030745426192879677,
0.03168845176696777,
0.014761975035071373,
-0.0475187674164772,
-0.0761820450425148,
0.04999935254454613,
0.05600559338927269,
-0.05680809170007706,
-0.10754769295454025,
-0.02288741245865822,
0.08553720265626907,
-0.03007255308330059,
0.015043226070702076,
0.10183913260698318,
-0.05757192149758339
] |
1401.0380 | Jeng-Da Chai | Jeng-Da Chai | Thermally-assisted-occupation density functional theory with
generalized-gradient approximations | 27 pages, 15 figures, 3 tables, supplementary material not included.
This is an extension of our previous work [e.g., see arXiv:1201.4866] | J. Chem. Phys. 140, 18A521 (2014) | 10.1063/1.4867532 | null | physics.chem-ph cond-mat.mtrl-sci cond-mat.str-el physics.atm-clus physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the recently proposed thermally-assisted-occupation density
functional theory (TAO-DFT) [J.-D. Chai, J. Chem. Phys. 136, 154104 (2012)] to
generalized-gradient approximation (GGA) exchange-correlation density
functionals. Relative to our previous TAO-LDA (i.e., the local density
approximation to TAO-DFT), the resulting TAO-GGAs are significantly superior
for a wide range of applications, such as thermochemistry, kinetics, and
reaction energies. For noncovalent interactions, TAO-GGAs with empirical
dispersion corrections are shown to yield excellent performance. Due to their
computational efficiency for systems with strong static correlation effects,
TAO-LDA and TAO-GGAs are applied to study the electronic properties (e.g., the
singlet-triplet energy gaps, vertical ionization potentials, vertical electron
affinities, fundamental gaps, and symmetrized von Neumann entropy) of acenes
with different number of linearly fused benzene rings (up to 100), which is
very challenging for conventional electronic structure methods. The ground
states of acenes are shown to be singlets for all the chain lengths studied
here. With the increase of acene length, the singlet-triplet energy gaps,
vertical ionization potentials, and fundamental gaps decrease monotonically,
while the vertical electron affinities and symmetrized von Neumann entropy
(i.e., a measure of polyradical character) increase monotonically.
| [
{
"created": "Thu, 2 Jan 2014 07:48:17 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 19:24:41 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Chai",
"Jeng-Da",
""
]
] | [
-0.09938573837280273,
-0.03901733085513115,
-0.0317084975540638,
0.09810558706521988,
0.01600470207631588,
-0.05688534304499626,
0.056309979408979416,
-0.02999521605670452,
0.019442414864897728,
-0.04057340696454048,
-0.0288860946893692,
-0.01971340924501419,
-0.06189480423927307,
0.033858772367239,
0.023869894444942474,
-0.011717231012880802,
0.052689772099256516,
0.032716989517211914,
-0.04644358530640602,
0.024103501811623573,
-0.04245642200112343,
-0.019136598333716393,
-0.00337932538241148,
-0.055291108787059784,
0.05951443314552307,
0.02322014793753624,
0.037156328558921814,
-0.005568614695221186,
-0.01955825835466385,
-0.04345167800784111,
0.11945263296365738,
-0.03439994901418686,
-0.050812315195798874,
0.024011190980672836,
-0.06124453619122505,
0.021275408565998077,
0.00668838107958436,
0.0315382219851017,
0.01707785576581955,
0.010404511354863644,
-0.0027694159653037786,
0.10171138495206833,
0.05681390315294266,
-0.023218611255288124,
0.020258940756320953,
-0.09282653778791428,
0.038134198635816574,
-0.07806164026260376,
0.009741953574120998,
-0.08497187495231628,
0.1492108702659607,
0.0326705202460289,
-0.055633075535297394,
0.04741284251213074,
-0.038553737103939056,
0.052696939557790756,
0.04932960122823715,
0.005787123925983906,
-0.026127127930521965,
0.015695421025156975,
0.07203564792871475,
0.061775173991918564,
-0.027347024530172348,
0.03037210926413536,
0.038848090916872025,
-0.05234441161155701,
0.120346799492836,
-0.014635601080954075,
-0.029227614402770996,
0.0033190639223903418,
-0.13347271084785461,
0.003386041149497032,
-0.06571123749017715,
0.04174010083079338,
0.020452015101909637,
0.062326282262802124,
0.0063768671825528145,
-0.01943700574338436,
0.06285331398248672,
-0.05750603601336479,
-0.01055101677775383,
0.023677419871091843,
0.09059656411409378,
-0.057800713926553726,
0.08371377736330032,
0.1132846251130104,
-0.11059647798538208,
0.05384419485926628,
0.011851203627884388,
-0.0859353318810463,
0.007154594641178846,
0.04973806068301201,
-0.0206993967294693,
0.02008684352040291,
0.05033892020583153,
-0.00013258680701255798,
0.07732486724853516,
0.010201447643339634,
0.014705865643918514,
0.04351036250591278,
0.06844208389520645,
0.1098351702094078,
-0.026753567159175873,
-0.050231244415044785,
-0.027198556810617447,
-0.0020469489973038435,
0.05517794191837311,
0.06707832962274551,
-0.055735714733600616,
0.045849718153476715,
-0.015901299193501472,
0.01492394134402275,
0.04382585734128952,
-0.011090309359133244,
-0.11716144531965256,
0.029011521488428116,
-0.054511867463588715,
-0.06732484698295593,
0.07640045136213303,
-0.0013724789023399353,
-0.05441956967115402,
0.026549965143203735,
-0.020099138841032982,
0.054301805794239044,
-0.03351305052638054,
0.02459808997809887,
-0.03344454988837242,
-2.2155600434040874e-34,
0.027842428535223007,
-0.028913848102092743,
0.044484417885541916,
0.021122902631759644,
0.031873878091573715,
-0.03356945142149925,
-0.04465118795633316,
-0.07950323075056076,
-0.08668221533298492,
0.0837986022233963,
0.02221636287868023,
0.09932290017604828,
-0.00962116476148367,
0.022099055349826813,
-0.023523038253188133,
0.11355321854352951,
0.007124636322259903,
-0.0024302764795720577,
0.004419650416821241,
-0.05197380483150482,
0.027011727914214134,
0.002177070127800107,
-0.005264680832624435,
0.14955106377601624,
0.0382891520857811,
0.037815213203430176,
0.028845833614468575,
0.023680781945586205,
-0.007231627590954304,
0.004832583479583263,
-0.09700325131416321,
0.027936624363064766,
-0.05556970089673996,
-0.07083124667406082,
-0.00249965931288898,
0.010834929533302784,
-0.06491167098283768,
-0.014164949767291546,
-0.006669884081929922,
-0.09680105745792389,
0.007100297603756189,
0.022019289433956146,
0.02711980603635311,
-0.04251410812139511,
-0.09186971187591553,
0.09867669641971588,
0.06237563490867615,
0.0538150779902935,
-0.0006112136761657894,
-0.03605542704463005,
-0.061901647597551346,
-0.0160030759871006,
-0.04455641657114029,
0.04441159591078758,
-0.0002946585009340197,
0.0034942710772156715,
0.030196499079465866,
0.0338108092546463,
0.0957345962524414,
0.019666913896799088,
-0.06791389733552933,
0.04403689131140709,
-0.04327692463994026,
0.009819285944104195,
-0.04329835996031761,
0.03489740192890167,
-0.05493992194533348,
0.05385623872280121,
0.0551704578101635,
-0.00017087474407162517,
0.05203486233949661,
0.05597198009490967,
0.13176125288009644,
-0.08306814730167389,
0.10422797501087189,
-0.0226610004901886,
-0.016105545684695244,
-0.10934291034936905,
-0.006509880069643259,
-0.005939899943768978,
0.007133414037525654,
0.0031884629279375076,
0.040933214128017426,
-0.03507165610790253,
-0.06608951836824417,
-0.11106601357460022,
-0.05481662601232529,
0.034909915179014206,
-0.058736156672239304,
0.023218320682644844,
-0.037045735865831375,
-0.017216112464666367,
0.09862831979990005,
-0.06728357076644897,
-0.031306006014347076,
-1.914954500570402e-33,
-0.025210442021489143,
0.0019224570132791996,
0.03848220407962799,
-0.05759686604142189,
0.01714533381164074,
-0.016785919666290283,
-0.0014673835830762982,
-0.011767317540943623,
0.0628211721777916,
-0.08603668957948685,
0.03826961666345596,
-0.01132744736969471,
0.0024457976687699556,
0.008777071721851826,
0.01440081000328064,
-0.03748326003551483,
-0.1030786782503128,
0.014559628441929817,
0.09164692461490631,
0.03926212713122368,
0.023355789482593536,
-0.020775847136974335,
-0.043187908828258514,
0.04176650941371918,
0.022118566557765007,
-0.026611503213644028,
-0.01452389732003212,
-0.03378155454993248,
-0.030827200040221214,
0.03779403492808342,
0.05664829537272453,
0.06926504522562027,
-0.020938418805599213,
0.021092969924211502,
-0.08464522659778595,
-0.007357706315815449,
-0.01842106506228447,
0.08900094032287598,
-0.05175048112869263,
0.010378105565905571,
-0.005493673030287027,
-0.05124058574438095,
-0.018920695409178734,
-0.031510427594184875,
0.09769392013549805,
0.10554724931716919,
-0.0705351009964943,
-0.0746239423751831,
0.019836315885186195,
0.008335896767675877,
0.012555678375065327,
-0.035156868398189545,
-0.0956420749425888,
0.012932846322655678,
0.014577189460396767,
0.042306724935770035,
0.007779070641845465,
-0.028788553550839424,
0.0659201368689537,
-0.08986183255910873,
-0.04225922375917435,
-0.033553093671798706,
0.05683734640479088,
-0.006087842863053083,
-0.10093545913696289,
-0.0004903424414806068,
-0.05247679352760315,
0.00023557848180644214,
0.06359458714723587,
-0.0019322511507198215,
-0.05418657138943672,
-0.000706209393683821,
0.07556606084108353,
0.0008679632446728647,
0.00024339220544788986,
-0.0632380023598671,
0.09530588984489441,
-0.0986628532409668,
-0.03359762579202652,
0.02708173543214798,
-0.02082892321050167,
0.014884955249726772,
-0.0024808314628899097,
-0.05319776386022568,
0.014766753651201725,
0.007495276164263487,
-0.028815526515245438,
0.024551646783947945,
-0.023387985303997993,
-0.03937046602368355,
-0.04631650447845459,
0.02125680260360241,
0.06725569069385529,
-0.008569098077714443,
-0.05408361926674843,
-4.803619901849743e-8,
0.007792650256305933,
-0.037459492683410645,
0.012031415477395058,
0.017831016331911087,
-0.027200980111956596,
0.052079152315855026,
0.0368252769112587,
-0.007092501036822796,
0.024616289883852005,
-0.01491856761276722,
0.06686323881149292,
-0.01125425472855568,
0.035363659262657166,
-0.007340223528444767,
-0.035745296627283096,
-0.06746528297662735,
-0.0691392794251442,
-0.0071066590026021,
-0.01781405694782734,
-0.0020995016675442457,
0.04693710803985596,
0.0678209513425827,
0.04563245549798012,
0.0002988137712236494,
0.026298314332962036,
-0.049199678003787994,
-0.05941068381071091,
-0.06358363479375839,
0.024589963257312775,
0.027232559397816658,
-0.078669473528862,
0.01432870514690876,
0.10287492722272873,
0.04954586178064346,
0.04270477220416069,
-0.06322633475065231,
0.03706784173846245,
0.024975748732686043,
-0.009157764725387096,
-0.01895686611533165,
0.05667385831475258,
-0.07926266640424728,
0.02308236062526703,
0.029870951548218727,
0.021176517009735107,
-0.04480176046490669,
-0.022582249715924263,
0.04277363792061806,
0.03998636081814766,
0.04382673278450966,
0.00528621906414628,
0.0016179803060367703,
-0.06300769001245499,
0.04279119521379471,
0.022451510652899742,
-0.04185963049530983,
-0.09751137346029282,
0.03277464956045151,
0.019017962738871574,
-0.0466720350086689,
0.03647402673959732,
-0.10170513391494751,
-0.10551142692565918,
-0.007381620351225138
] | null | null | null | null | null | null | null | [
-0.09938573837280273,
-0.03901733085513115,
-0.0317084975540638,
0.09810558706521988,
0.01600470207631588,
-0.05688534304499626,
0.056309979408979416,
-0.02999521605670452,
0.019442414864897728,
-0.04057340696454048,
-0.0288860946893692,
-0.01971340924501419,
-0.06189480423927307,
0.033858772367239,
0.023869894444942474,
-0.011717231012880802,
0.052689772099256516,
0.032716989517211914,
-0.04644358530640602,
0.024103501811623573,
-0.04245642200112343,
-0.019136598333716393,
-0.00337932538241148,
-0.055291108787059784,
0.05951443314552307,
0.02322014793753624,
0.037156328558921814,
-0.005568614695221186,
-0.01955825835466385,
-0.04345167800784111,
0.11945263296365738,
-0.03439994901418686,
-0.050812315195798874,
0.024011190980672836,
-0.06124453619122505,
0.021275408565998077,
0.00668838107958436,
0.0315382219851017,
0.01707785576581955,
0.010404511354863644,
-0.0027694159653037786,
0.10171138495206833,
0.05681390315294266,
-0.023218611255288124,
0.020258940756320953,
-0.09282653778791428,
0.038134198635816574,
-0.07806164026260376,
0.009741953574120998,
-0.08497187495231628,
0.1492108702659607,
0.0326705202460289,
-0.055633075535297394,
0.04741284251213074,
-0.038553737103939056,
0.052696939557790756,
0.04932960122823715,
0.005787123925983906,
-0.026127127930521965,
0.015695421025156975,
0.07203564792871475,
0.061775173991918564,
-0.027347024530172348,
0.03037210926413536,
0.038848090916872025,
-0.05234441161155701,
0.120346799492836,
-0.014635601080954075,
-0.029227614402770996,
0.0033190639223903418,
-0.13347271084785461,
0.003386041149497032,
-0.06571123749017715,
0.04174010083079338,
0.020452015101909637,
0.062326282262802124,
0.0063768671825528145,
-0.01943700574338436,
0.06285331398248672,
-0.05750603601336479,
-0.01055101677775383,
0.023677419871091843,
0.09059656411409378,
-0.057800713926553726,
0.08371377736330032,
0.1132846251130104,
-0.11059647798538208,
0.05384419485926628,
0.011851203627884388,
-0.0859353318810463,
0.007154594641178846,
0.04973806068301201,
-0.0206993967294693,
0.02008684352040291,
0.05033892020583153,
-0.00013258680701255798,
0.07732486724853516,
0.010201447643339634,
0.014705865643918514,
0.04351036250591278,
0.06844208389520645,
0.1098351702094078,
-0.026753567159175873,
-0.050231244415044785,
-0.027198556810617447,
-0.0020469489973038435,
0.05517794191837311,
0.06707832962274551,
-0.055735714733600616,
0.045849718153476715,
-0.015901299193501472,
0.01492394134402275,
0.04382585734128952,
-0.011090309359133244,
-0.11716144531965256,
0.029011521488428116,
-0.054511867463588715,
-0.06732484698295593,
0.07640045136213303,
-0.0013724789023399353,
-0.05441956967115402,
0.026549965143203735,
-0.020099138841032982,
0.054301805794239044,
-0.03351305052638054,
0.02459808997809887,
-0.03344454988837242,
-2.2155600434040874e-34,
0.027842428535223007,
-0.028913848102092743,
0.044484417885541916,
0.021122902631759644,
0.031873878091573715,
-0.03356945142149925,
-0.04465118795633316,
-0.07950323075056076,
-0.08668221533298492,
0.0837986022233963,
0.02221636287868023,
0.09932290017604828,
-0.00962116476148367,
0.022099055349826813,
-0.023523038253188133,
0.11355321854352951,
0.007124636322259903,
-0.0024302764795720577,
0.004419650416821241,
-0.05197380483150482,
0.027011727914214134,
0.002177070127800107,
-0.005264680832624435,
0.14955106377601624,
0.0382891520857811,
0.037815213203430176,
0.028845833614468575,
0.023680781945586205,
-0.007231627590954304,
0.004832583479583263,
-0.09700325131416321,
0.027936624363064766,
-0.05556970089673996,
-0.07083124667406082,
-0.00249965931288898,
0.010834929533302784,
-0.06491167098283768,
-0.014164949767291546,
-0.006669884081929922,
-0.09680105745792389,
0.007100297603756189,
0.022019289433956146,
0.02711980603635311,
-0.04251410812139511,
-0.09186971187591553,
0.09867669641971588,
0.06237563490867615,
0.0538150779902935,
-0.0006112136761657894,
-0.03605542704463005,
-0.061901647597551346,
-0.0160030759871006,
-0.04455641657114029,
0.04441159591078758,
-0.0002946585009340197,
0.0034942710772156715,
0.030196499079465866,
0.0338108092546463,
0.0957345962524414,
0.019666913896799088,
-0.06791389733552933,
0.04403689131140709,
-0.04327692463994026,
0.009819285944104195,
-0.04329835996031761,
0.03489740192890167,
-0.05493992194533348,
0.05385623872280121,
0.0551704578101635,
-0.00017087474407162517,
0.05203486233949661,
0.05597198009490967,
0.13176125288009644,
-0.08306814730167389,
0.10422797501087189,
-0.0226610004901886,
-0.016105545684695244,
-0.10934291034936905,
-0.006509880069643259,
-0.005939899943768978,
0.007133414037525654,
0.0031884629279375076,
0.040933214128017426,
-0.03507165610790253,
-0.06608951836824417,
-0.11106601357460022,
-0.05481662601232529,
0.034909915179014206,
-0.058736156672239304,
0.023218320682644844,
-0.037045735865831375,
-0.017216112464666367,
0.09862831979990005,
-0.06728357076644897,
-0.031306006014347076,
-1.914954500570402e-33,
-0.025210442021489143,
0.0019224570132791996,
0.03848220407962799,
-0.05759686604142189,
0.01714533381164074,
-0.016785919666290283,
-0.0014673835830762982,
-0.011767317540943623,
0.0628211721777916,
-0.08603668957948685,
0.03826961666345596,
-0.01132744736969471,
0.0024457976687699556,
0.008777071721851826,
0.01440081000328064,
-0.03748326003551483,
-0.1030786782503128,
0.014559628441929817,
0.09164692461490631,
0.03926212713122368,
0.023355789482593536,
-0.020775847136974335,
-0.043187908828258514,
0.04176650941371918,
0.022118566557765007,
-0.026611503213644028,
-0.01452389732003212,
-0.03378155454993248,
-0.030827200040221214,
0.03779403492808342,
0.05664829537272453,
0.06926504522562027,
-0.020938418805599213,
0.021092969924211502,
-0.08464522659778595,
-0.007357706315815449,
-0.01842106506228447,
0.08900094032287598,
-0.05175048112869263,
0.010378105565905571,
-0.005493673030287027,
-0.05124058574438095,
-0.018920695409178734,
-0.031510427594184875,
0.09769392013549805,
0.10554724931716919,
-0.0705351009964943,
-0.0746239423751831,
0.019836315885186195,
0.008335896767675877,
0.012555678375065327,
-0.035156868398189545,
-0.0956420749425888,
0.012932846322655678,
0.014577189460396767,
0.042306724935770035,
0.007779070641845465,
-0.028788553550839424,
0.0659201368689537,
-0.08986183255910873,
-0.04225922375917435,
-0.033553093671798706,
0.05683734640479088,
-0.006087842863053083,
-0.10093545913696289,
-0.0004903424414806068,
-0.05247679352760315,
0.00023557848180644214,
0.06359458714723587,
-0.0019322511507198215,
-0.05418657138943672,
-0.000706209393683821,
0.07556606084108353,
0.0008679632446728647,
0.00024339220544788986,
-0.0632380023598671,
0.09530588984489441,
-0.0986628532409668,
-0.03359762579202652,
0.02708173543214798,
-0.02082892321050167,
0.014884955249726772,
-0.0024808314628899097,
-0.05319776386022568,
0.014766753651201725,
0.007495276164263487,
-0.028815526515245438,
0.024551646783947945,
-0.023387985303997993,
-0.03937046602368355,
-0.04631650447845459,
0.02125680260360241,
0.06725569069385529,
-0.008569098077714443,
-0.05408361926674843,
-4.803619901849743e-8,
0.007792650256305933,
-0.037459492683410645,
0.012031415477395058,
0.017831016331911087,
-0.027200980111956596,
0.052079152315855026,
0.0368252769112587,
-0.007092501036822796,
0.024616289883852005,
-0.01491856761276722,
0.06686323881149292,
-0.01125425472855568,
0.035363659262657166,
-0.007340223528444767,
-0.035745296627283096,
-0.06746528297662735,
-0.0691392794251442,
-0.0071066590026021,
-0.01781405694782734,
-0.0020995016675442457,
0.04693710803985596,
0.0678209513425827,
0.04563245549798012,
0.0002988137712236494,
0.026298314332962036,
-0.049199678003787994,
-0.05941068381071091,
-0.06358363479375839,
0.024589963257312775,
0.027232559397816658,
-0.078669473528862,
0.01432870514690876,
0.10287492722272873,
0.04954586178064346,
0.04270477220416069,
-0.06322633475065231,
0.03706784173846245,
0.024975748732686043,
-0.009157764725387096,
-0.01895686611533165,
0.05667385831475258,
-0.07926266640424728,
0.02308236062526703,
0.029870951548218727,
0.021176517009735107,
-0.04480176046490669,
-0.022582249715924263,
0.04277363792061806,
0.03998636081814766,
0.04382673278450966,
0.00528621906414628,
0.0016179803060367703,
-0.06300769001245499,
0.04279119521379471,
0.022451510652899742,
-0.04185963049530983,
-0.09751137346029282,
0.03277464956045151,
0.019017962738871574,
-0.0466720350086689,
0.03647402673959732,
-0.10170513391494751,
-0.10551142692565918,
-0.007381620351225138
] |
1401.0387 | Giovanni Bussi | Cameron Abrams and Giovanni Bussi | Enhanced Sampling in Molecular Dynamics Using Metadynamics,
Replica-Exchange, and Temperature-Acceleration | Accepted for publication on Entropy | C. Abrams and G. Bussi, Entropy 16, 163 (2014) | 10.3390/e16010163 | null | cond-mat.stat-mech physics.chem-ph physics.comp-ph | http://creativecommons.org/licenses/by/3.0/ | We review a selection of methods for performing enhanced sampling in
molecular dynamics simulations. We consider methods based on collective
variable biasing and on tempering, and offer both historical and contemporary
perspectives. In collective-variable biasing, we first discuss methods stemming
from thermodynamic integration that use mean force biasing, including the
adaptive biasing force algorithm and temperature acceleration. We then turn to
methods that use bias potentials, including umbrella sampling and metadynamics.
We next consider parallel tempering and replica-exchange methods. We conclude
with a brief presentation of some combination methods.
| [
{
"created": "Thu, 2 Jan 2014 08:30:03 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Abrams",
"Cameron",
""
],
[
"Bussi",
"Giovanni",
""
]
] | [
-0.07226812839508057,
-0.03247547522187233,
-0.007060871925204992,
0.05535569041967392,
0.01158087607473135,
-0.053514666855335236,
-0.09039948135614395,
0.00042911130003631115,
0.04187113791704178,
0.039262499660253525,
-0.07669128477573395,
-0.02788500301539898,
0.03171093761920929,
-0.010852056555449963,
0.03992369771003723,
-0.05741892382502556,
-0.029488524422049522,
0.10443995147943497,
-0.05160895362496376,
-0.02501736395061016,
-0.04679495096206665,
0.022253945469856262,
0.03235381096601486,
0.010444204322993755,
0.02126004360616207,
-0.06391660124063492,
-0.014406507834792137,
0.0442497693002224,
0.004286208655685186,
0.012474640272557735,
0.07479280978441238,
0.004436910152435303,
-0.0701945349574089,
-0.043893396854400635,
-0.015435867942869663,
0.006176709663122892,
-0.07443081587553024,
0.001303739147260785,
-0.08132783323526382,
0.011871693655848503,
-0.0009800458792597055,
0.08923151344060898,
0.003633537096902728,
0.030215049162507057,
0.052831608802080154,
-0.01418535690754652,
0.016977114602923393,
0.04175936430692673,
0.05414207652211189,
0.032359831035137177,
0.04739806801080704,
-0.02442142926156521,
-0.01022176630795002,
-0.016764067113399506,
-0.010715845972299576,
0.03315049037337303,
0.0009332051849924028,
-0.034845516085624695,
0.05603725090622902,
-0.07453689724206924,
0.02863847091794014,
0.02437063306570053,
-0.013028891757130623,
0.0666768029332161,
0.052888333797454834,
-0.02320733293890953,
0.13461478054523468,
0.12499194592237473,
0.0657057985663414,
0.04102250188589096,
-0.03319638594985008,
0.030122259631752968,
-0.062382765114307404,
-0.03355088829994202,
0.03191084787249565,
0.028667854145169258,
-0.04636376351118088,
-0.00880563072860241,
0.0560256652534008,
-0.05201278626918793,
-0.023130102083086967,
-0.013851932249963284,
0.007536191958934069,
-0.05956878885626793,
-0.05358925834298134,
-0.04727526381611824,
0.020604845136404037,
0.056154198944568634,
0.07716210186481476,
-0.019825169816613197,
-0.0031768660992383957,
0.06309221684932709,
-0.04964625835418701,
-0.04200085625052452,
-0.05501258373260498,
0.012661490589380264,
0.06934797018766403,
0.05686001852154732,
0.07494687288999557,
0.009191895835101604,
0.05061857029795647,
-0.010947367176413536,
-0.0010578134097158909,
0.05805300176143646,
0.02951781079173088,
-0.07124201208353043,
0.06683148443698883,
0.02649645321071148,
-0.022107409313321114,
0.04228290915489197,
0.005734901875257492,
0.05758211016654968,
0.06791757047176361,
0.023079441860318184,
0.030158277601003647,
-0.035011712461709976,
0.053711939603090286,
-0.010075372643768787,
-0.039832837879657745,
0.003911095671355724,
-0.02142559364438057,
-0.024805905297398567,
-0.03382696211338043,
0.0340379998087883,
0.03179272636771202,
0.022131744772195816,
-0.07679037749767303,
-5.1335757662279e-34,
0.07081358134746552,
0.013650222681462765,
0.10239751636981964,
0.042224086821079254,
0.05778960883617401,
-0.027111118659377098,
-0.00146387645509094,
-0.03402373939752579,
-0.1270434409379959,
0.020037708804011345,
-0.015290094539523125,
0.08691909164190292,
0.031757645308971405,
-0.013691355474293232,
-0.0934232622385025,
-0.01973678730428219,
-0.05659110099077225,
0.08397490531206131,
0.02636837400496006,
0.04096328467130661,
-0.049862466752529144,
0.0055313995108008385,
0.004701932426542044,
0.035316016525030136,
-0.07846274226903915,
0.06565068662166595,
-0.04794640094041824,
0.08679179847240448,
0.005628257058560848,
-0.0006153255817480385,
0.0009232290904037654,
-0.03344755247235298,
-0.09813795238733292,
0.036525994539260864,
0.020336365327239037,
-0.052268046885728836,
0.035017821937799454,
-0.02926175482571125,
-0.016374528408050537,
-0.017077205702662468,
0.02370467409491539,
0.004293144680559635,
0.10439204424619675,
-0.06788942962884903,
-0.06885302811861038,
0.03548375144600868,
-0.016467856243252754,
-0.007956614717841148,
-0.00017606581968721002,
0.05452418699860573,
-0.01572193019092083,
-0.034157510846853256,
0.03726844862103462,
-0.01105677243322134,
0.001814310671761632,
-0.016140054911375046,
0.0005124115268699825,
-0.05095220357179642,
-0.031428128480911255,
0.05221999064087868,
-0.0681370422244072,
0.03213789314031601,
-0.049197446554899216,
-0.003042613621801138,
0.07985889911651611,
0.0860559269785881,
-0.07150726765394211,
-0.005717952735722065,
0.03797868266701698,
0.03436136618256569,
0.004333798307925463,
0.05116293206810951,
-0.09487193822860718,
-0.0397808700799942,
0.04798025265336037,
-0.0016669818433001637,
0.015514331869781017,
-0.010143967345356941,
-0.010680432431399822,
-0.00948252622038126,
-0.05030060186982155,
-0.011286154389381409,
-0.08465570956468582,
-0.04384752735495567,
-0.08947326242923737,
-0.07035589218139648,
-0.011447032913565636,
-0.024882178753614426,
0.006018323823809624,
-0.00919605977833271,
-0.035291556268930435,
-0.11942734569311142,
0.1255800724029541,
-0.011505911126732826,
0.012492026202380657,
-2.481803406804841e-33,
0.0005140671273693442,
-0.03625673055648804,
0.11083978414535522,
0.06612889468669891,
0.0077620311640203,
0.005704569164663553,
0.008834566920995712,
-0.08914408832788467,
0.05830421671271324,
-0.04643157124519348,
-0.0020114651415497065,
-0.05269917473196983,
0.01961977779865265,
0.025137806311249733,
0.05124851316213608,
-0.028230421245098114,
0.008069900795817375,
-0.03160834312438965,
0.12738876044750214,
0.0026393230073153973,
-0.011903897859156132,
-0.04615231603384018,
0.09406774491071701,
0.023073378950357437,
0.006902068853378296,
-0.027072077617049217,
-0.0029992200434207916,
-0.05582021176815033,
0.012435434386134148,
-0.024172747507691383,
-0.040756240487098694,
-0.030115999281406403,
-0.08646432310342789,
0.018785106018185616,
-0.05936924368143082,
0.07868551462888718,
0.048882123082876205,
0.08136742562055588,
0.05478772893548012,
-0.07482127845287323,
0.004482494201511145,
-0.022562917321920395,
-0.0889798030257225,
-0.0036818815860897303,
0.0843648761510849,
-0.001490801922045648,
-0.04545506089925766,
-0.002105318708345294,
0.03802263364195824,
-0.03795022517442703,
-0.04113544896245003,
0.0019455106230452657,
-0.019787095487117767,
-0.005657730624079704,
-0.01918310672044754,
-0.040436822921037674,
0.016053104773163795,
0.032071806490421295,
0.09699732810258865,
0.005524123553186655,
-0.08093670755624771,
-0.08291460573673248,
-0.03667216747999191,
-0.055501192808151245,
-0.10863667726516724,
0.017587430775165558,
-0.017230935394763947,
-0.012844344601035118,
0.05718014016747475,
0.007684706244617701,
0.01783834584057331,
-0.022118888795375824,
0.07803300768136978,
0.03723202273249626,
0.03142981976270676,
-0.06855951249599457,
0.10949510335922241,
-0.11312414705753326,
-0.041669201105833054,
-0.029552962630987167,
0.008467547595500946,
0.09746963530778885,
0.012971787713468075,
-0.05331763997673988,
-0.004615085665136576,
-0.0051504867151379585,
-0.0000529246281075757,
0.054437968879938126,
-0.0600392185151577,
-0.04060627892613411,
0.010240019299089909,
0.010250067338347435,
0.15268681943416595,
0.04490917921066284,
-0.06100274994969368,
-3.999420528089104e-8,
0.06349322199821472,
0.044587552547454834,
0.07901915907859802,
0.03210417926311493,
0.00988299585878849,
0.08320669829845428,
-0.04271576553583145,
-0.10795112699270248,
0.0060149612836539745,
-0.0024332241155207157,
0.12478839606046677,
0.011862901039421558,
0.09301061928272247,
0.007754889316856861,
0.005263331346213818,
0.028443029150366783,
-0.0222951490432024,
-0.06739778816699982,
-0.03844045102596283,
-0.049258746206760406,
-0.02644270285964012,
0.04963044449687004,
-0.031202970072627068,
-0.036793190985918045,
0.05014363303780556,
0.02932632341980934,
-0.009176723659038544,
-0.09384816884994507,
0.04434319585561752,
-0.05182350054383278,
-0.09860850870609283,
-0.006271611899137497,
-0.027966231107711792,
0.07680637389421463,
0.06698842346668243,
-0.02962491847574711,
-0.006841408554464579,
0.06204361096024513,
-0.0035570748150348663,
-0.04184461757540703,
-0.04574557766318321,
0.06992896646261215,
-0.0558006577193737,
-0.022596927359700203,
0.041607603430747986,
0.04945092275738716,
-0.08482755720615387,
0.07808146625757217,
-0.008851132355630398,
-0.0025344258174300194,
0.008380281738936901,
-0.0217276718467474,
-0.05684076249599457,
0.009941370226442814,
-0.008746001869440079,
-0.025285031646490097,
-0.11651280522346497,
-0.029324838891625404,
0.07489883154630661,
-0.030332032591104507,
0.031435418874025345,
-0.08640667051076889,
-0.13977135717868805,
-0.06520752608776093
] | null | null | null | null | null | null | null | [
-0.07226812839508057,
-0.03247547522187233,
-0.007060871925204992,
0.05535569041967392,
0.01158087607473135,
-0.053514666855335236,
-0.09039948135614395,
0.00042911130003631115,
0.04187113791704178,
0.039262499660253525,
-0.07669128477573395,
-0.02788500301539898,
0.03171093761920929,
-0.010852056555449963,
0.03992369771003723,
-0.05741892382502556,
-0.029488524422049522,
0.10443995147943497,
-0.05160895362496376,
-0.02501736395061016,
-0.04679495096206665,
0.022253945469856262,
0.03235381096601486,
0.010444204322993755,
0.02126004360616207,
-0.06391660124063492,
-0.014406507834792137,
0.0442497693002224,
0.004286208655685186,
0.012474640272557735,
0.07479280978441238,
0.004436910152435303,
-0.0701945349574089,
-0.043893396854400635,
-0.015435867942869663,
0.006176709663122892,
-0.07443081587553024,
0.001303739147260785,
-0.08132783323526382,
0.011871693655848503,
-0.0009800458792597055,
0.08923151344060898,
0.003633537096902728,
0.030215049162507057,
0.052831608802080154,
-0.01418535690754652,
0.016977114602923393,
0.04175936430692673,
0.05414207652211189,
0.032359831035137177,
0.04739806801080704,
-0.02442142926156521,
-0.01022176630795002,
-0.016764067113399506,
-0.010715845972299576,
0.03315049037337303,
0.0009332051849924028,
-0.034845516085624695,
0.05603725090622902,
-0.07453689724206924,
0.02863847091794014,
0.02437063306570053,
-0.013028891757130623,
0.0666768029332161,
0.052888333797454834,
-0.02320733293890953,
0.13461478054523468,
0.12499194592237473,
0.0657057985663414,
0.04102250188589096,
-0.03319638594985008,
0.030122259631752968,
-0.062382765114307404,
-0.03355088829994202,
0.03191084787249565,
0.028667854145169258,
-0.04636376351118088,
-0.00880563072860241,
0.0560256652534008,
-0.05201278626918793,
-0.023130102083086967,
-0.013851932249963284,
0.007536191958934069,
-0.05956878885626793,
-0.05358925834298134,
-0.04727526381611824,
0.020604845136404037,
0.056154198944568634,
0.07716210186481476,
-0.019825169816613197,
-0.0031768660992383957,
0.06309221684932709,
-0.04964625835418701,
-0.04200085625052452,
-0.05501258373260498,
0.012661490589380264,
0.06934797018766403,
0.05686001852154732,
0.07494687288999557,
0.009191895835101604,
0.05061857029795647,
-0.010947367176413536,
-0.0010578134097158909,
0.05805300176143646,
0.02951781079173088,
-0.07124201208353043,
0.06683148443698883,
0.02649645321071148,
-0.022107409313321114,
0.04228290915489197,
0.005734901875257492,
0.05758211016654968,
0.06791757047176361,
0.023079441860318184,
0.030158277601003647,
-0.035011712461709976,
0.053711939603090286,
-0.010075372643768787,
-0.039832837879657745,
0.003911095671355724,
-0.02142559364438057,
-0.024805905297398567,
-0.03382696211338043,
0.0340379998087883,
0.03179272636771202,
0.022131744772195816,
-0.07679037749767303,
-5.1335757662279e-34,
0.07081358134746552,
0.013650222681462765,
0.10239751636981964,
0.042224086821079254,
0.05778960883617401,
-0.027111118659377098,
-0.00146387645509094,
-0.03402373939752579,
-0.1270434409379959,
0.020037708804011345,
-0.015290094539523125,
0.08691909164190292,
0.031757645308971405,
-0.013691355474293232,
-0.0934232622385025,
-0.01973678730428219,
-0.05659110099077225,
0.08397490531206131,
0.02636837400496006,
0.04096328467130661,
-0.049862466752529144,
0.0055313995108008385,
0.004701932426542044,
0.035316016525030136,
-0.07846274226903915,
0.06565068662166595,
-0.04794640094041824,
0.08679179847240448,
0.005628257058560848,
-0.0006153255817480385,
0.0009232290904037654,
-0.03344755247235298,
-0.09813795238733292,
0.036525994539260864,
0.020336365327239037,
-0.052268046885728836,
0.035017821937799454,
-0.02926175482571125,
-0.016374528408050537,
-0.017077205702662468,
0.02370467409491539,
0.004293144680559635,
0.10439204424619675,
-0.06788942962884903,
-0.06885302811861038,
0.03548375144600868,
-0.016467856243252754,
-0.007956614717841148,
-0.00017606581968721002,
0.05452418699860573,
-0.01572193019092083,
-0.034157510846853256,
0.03726844862103462,
-0.01105677243322134,
0.001814310671761632,
-0.016140054911375046,
0.0005124115268699825,
-0.05095220357179642,
-0.031428128480911255,
0.05221999064087868,
-0.0681370422244072,
0.03213789314031601,
-0.049197446554899216,
-0.003042613621801138,
0.07985889911651611,
0.0860559269785881,
-0.07150726765394211,
-0.005717952735722065,
0.03797868266701698,
0.03436136618256569,
0.004333798307925463,
0.05116293206810951,
-0.09487193822860718,
-0.0397808700799942,
0.04798025265336037,
-0.0016669818433001637,
0.015514331869781017,
-0.010143967345356941,
-0.010680432431399822,
-0.00948252622038126,
-0.05030060186982155,
-0.011286154389381409,
-0.08465570956468582,
-0.04384752735495567,
-0.08947326242923737,
-0.07035589218139648,
-0.011447032913565636,
-0.024882178753614426,
0.006018323823809624,
-0.00919605977833271,
-0.035291556268930435,
-0.11942734569311142,
0.1255800724029541,
-0.011505911126732826,
0.012492026202380657,
-2.481803406804841e-33,
0.0005140671273693442,
-0.03625673055648804,
0.11083978414535522,
0.06612889468669891,
0.0077620311640203,
0.005704569164663553,
0.008834566920995712,
-0.08914408832788467,
0.05830421671271324,
-0.04643157124519348,
-0.0020114651415497065,
-0.05269917473196983,
0.01961977779865265,
0.025137806311249733,
0.05124851316213608,
-0.028230421245098114,
0.008069900795817375,
-0.03160834312438965,
0.12738876044750214,
0.0026393230073153973,
-0.011903897859156132,
-0.04615231603384018,
0.09406774491071701,
0.023073378950357437,
0.006902068853378296,
-0.027072077617049217,
-0.0029992200434207916,
-0.05582021176815033,
0.012435434386134148,
-0.024172747507691383,
-0.040756240487098694,
-0.030115999281406403,
-0.08646432310342789,
0.018785106018185616,
-0.05936924368143082,
0.07868551462888718,
0.048882123082876205,
0.08136742562055588,
0.05478772893548012,
-0.07482127845287323,
0.004482494201511145,
-0.022562917321920395,
-0.0889798030257225,
-0.0036818815860897303,
0.0843648761510849,
-0.001490801922045648,
-0.04545506089925766,
-0.002105318708345294,
0.03802263364195824,
-0.03795022517442703,
-0.04113544896245003,
0.0019455106230452657,
-0.019787095487117767,
-0.005657730624079704,
-0.01918310672044754,
-0.040436822921037674,
0.016053104773163795,
0.032071806490421295,
0.09699732810258865,
0.005524123553186655,
-0.08093670755624771,
-0.08291460573673248,
-0.03667216747999191,
-0.055501192808151245,
-0.10863667726516724,
0.017587430775165558,
-0.017230935394763947,
-0.012844344601035118,
0.05718014016747475,
0.007684706244617701,
0.01783834584057331,
-0.022118888795375824,
0.07803300768136978,
0.03723202273249626,
0.03142981976270676,
-0.06855951249599457,
0.10949510335922241,
-0.11312414705753326,
-0.041669201105833054,
-0.029552962630987167,
0.008467547595500946,
0.09746963530778885,
0.012971787713468075,
-0.05331763997673988,
-0.004615085665136576,
-0.0051504867151379585,
-0.0000529246281075757,
0.054437968879938126,
-0.0600392185151577,
-0.04060627892613411,
0.010240019299089909,
0.010250067338347435,
0.15268681943416595,
0.04490917921066284,
-0.06100274994969368,
-3.999420528089104e-8,
0.06349322199821472,
0.044587552547454834,
0.07901915907859802,
0.03210417926311493,
0.00988299585878849,
0.08320669829845428,
-0.04271576553583145,
-0.10795112699270248,
0.0060149612836539745,
-0.0024332241155207157,
0.12478839606046677,
0.011862901039421558,
0.09301061928272247,
0.007754889316856861,
0.005263331346213818,
0.028443029150366783,
-0.0222951490432024,
-0.06739778816699982,
-0.03844045102596283,
-0.049258746206760406,
-0.02644270285964012,
0.04963044449687004,
-0.031202970072627068,
-0.036793190985918045,
0.05014363303780556,
0.02932632341980934,
-0.009176723659038544,
-0.09384816884994507,
0.04434319585561752,
-0.05182350054383278,
-0.09860850870609283,
-0.006271611899137497,
-0.027966231107711792,
0.07680637389421463,
0.06698842346668243,
-0.02962491847574711,
-0.006841408554464579,
0.06204361096024513,
-0.0035570748150348663,
-0.04184461757540703,
-0.04574557766318321,
0.06992896646261215,
-0.0558006577193737,
-0.022596927359700203,
0.041607603430747986,
0.04945092275738716,
-0.08482755720615387,
0.07808146625757217,
-0.008851132355630398,
-0.0025344258174300194,
0.008380281738936901,
-0.0217276718467474,
-0.05684076249599457,
0.009941370226442814,
-0.008746001869440079,
-0.025285031646490097,
-0.11651280522346497,
-0.029324838891625404,
0.07489883154630661,
-0.030332032591104507,
0.031435418874025345,
-0.08640667051076889,
-0.13977135717868805,
-0.06520752608776093
] |
1401.0395 | Trupti Kodinariya prof | Trupti M. Kodinariya | Hybrid Approach to Face Recognition System using Principle component and
Independent component with score based fusion process | null | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hybrid approach has a special status among Face Recognition Systems as they
combine different recognition approaches in an either serial or parallel to
overcome the shortcomings of individual methods. This paper explores the area
of Hybrid Face Recognition using score based strategy as a combiner/fusion
process. In proposed approach, the recognition system operates in two modes:
training and classification. Training mode involves normalization of the face
images (training set), extracting appropriate features using Principle
Component Analysis (PCA) and Independent Component Analysis (ICA). The
extracted features are then trained in parallel using Back-propagation neural
networks (BPNNs) to partition the feature space in to different face classes.
In classification mode, the trained PCA BPNN and ICA BPNN are fed with new face
image(s). The score based strategy which works as a combiner is applied to the
results of both PCA BPNN and ICA BPNN to classify given new face image(s)
according to face classes obtained during the training mode. The proposed
approach has been tested on ORL and other face databases; the experimented
results show that the proposed system has higher accuracy than face recognition
systems using single feature extractor.
| [
{
"created": "Thu, 2 Jan 2014 09:21:24 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Kodinariya",
"Trupti M.",
""
]
] | [
-0.034635815769433975,
-0.004394748713821173,
-0.0026541552506387234,
-0.014156597666442394,
0.03747829422354698,
0.08337695896625519,
-0.007281824946403503,
0.014844059944152832,
-0.04818163812160492,
-0.09111201763153076,
0.021668873727321625,
-0.053412169218063354,
0.04177238792181015,
0.017075836658477783,
0.026638347655534744,
-0.1263517439365387,
-0.01327341329306364,
0.0370301678776741,
-0.02640456147491932,
0.041693780571222305,
-0.02432497777044773,
-0.0625646710395813,
-0.017359139397740364,
-0.0412139855325222,
-0.02063910849392414,
0.09245943278074265,
0.06560118496417999,
0.025474442169070244,
0.043418142944574356,
-0.005176182370632887,
0.058782365173101425,
-0.025592098012566566,
0.03723350912332535,
0.039013542234897614,
-0.06574137508869171,
0.05485495924949646,
-0.03225935623049736,
0.11240389943122864,
-0.031098704785108566,
-0.004887388087809086,
-0.08940524607896805,
0.003194409189745784,
-0.07305349409580231,
0.010405391454696655,
0.13536833226680756,
0.046477388590574265,
-0.056238479912281036,
-0.05798589438199997,
0.10069259256124496,
-0.08590590208768845,
-0.00800631009042263,
-0.01702200435101986,
-0.02877107262611389,
0.030877714976668358,
-0.043468110263347626,
0.03209863603115082,
-0.003390171332284808,
-0.007451049517840147,
-0.01789810135960579,
0.0785849392414093,
-0.04024043306708336,
0.005477836821228266,
0.05390557274222374,
-0.005709882825613022,
0.017524201422929764,
-0.03799821436405182,
-0.041750457137823105,
-0.009249034337699413,
0.000010994493095495272,
-0.09706979244947433,
-0.012955588288605213,
0.05541914328932762,
-0.06453806906938553,
-0.011787572875618935,
-0.04309888556599617,
0.005590498447418213,
0.029324457049369812,
0.03566425293684006,
-0.0035255965776741505,
0.004247464705258608,
-0.045950960367918015,
0.028211895376443863,
-0.01821223646402359,
-0.07110001146793365,
0.05881240591406822,
-0.016665713861584663,
-0.13858573138713837,
-0.04171985760331154,
-0.13802586495876312,
0.011684420518577099,
0.030190564692020416,
0.05968889594078064,
0.06647178530693054,
-0.061992011964321136,
0.0703965350985527,
-0.008330991491675377,
-0.010696849785745144,
-0.003276494098827243,
0.06666335463523865,
0.07054410874843597,
-0.09363286197185516,
-0.04133712127804756,
-0.014903444796800613,
-0.004975457210093737,
0.07249017059803009,
-0.03219596669077873,
0.03833966702222824,
-0.024506770074367523,
0.13221412897109985,
-0.07619277387857437,
0.01707584224641323,
-0.0016264936421066523,
-0.050938062369823456,
-0.06270602345466614,
0.0354183129966259,
-0.03060314804315567,
-0.03864756599068642,
0.007661678362637758,
0.10010624676942825,
0.05592634528875351,
-0.02663744054734707,
-0.04537278413772583,
0.05129315331578255,
-0.06444114446640015,
0.10573333501815796,
-0.01599877141416073,
-0.012692928314208984,
3.354122519857698e-33,
0.004265998490154743,
-0.00046452568494714797,
-0.019355377182364464,
-0.01887308992445469,
-0.028607528656721115,
0.01848343014717102,
0.017155852168798447,
0.03635425865650177,
0.0055211493745446205,
0.06355863809585571,
-0.071949303150177,
-0.005652020685374737,
-0.06426107883453369,
0.06804071366786957,
0.025777392089366913,
-0.002989663276821375,
0.008993935771286488,
0.01304392609745264,
0.017480900511145592,
-0.0731310099363327,
0.03835884854197502,
-0.04676127806305885,
0.1288667917251587,
0.06674313545227051,
-0.020791668444871902,
-0.017074158415198326,
0.08253588527441025,
-0.06099920719861984,
-0.03564242646098137,
-0.03128982335329056,
-0.017563097178936005,
0.041793663054704666,
-0.019479578360915184,
0.009104602038860321,
0.0906490832567215,
-0.06245478242635727,
-0.01893421821296215,
0.00332641857676208,
-0.02134203538298607,
0.0035612680949270725,
-0.07251109182834625,
0.013690616004168987,
-0.03657785430550575,
-0.09009268134832382,
-0.015980754047632217,
0.09076767414808273,
-0.010627918876707554,
0.0401308611035347,
0.009055793285369873,
0.0441410206258297,
0.021114276722073555,
0.03210997208952904,
-0.037704989314079285,
0.005554369185119867,
-0.021984895691275597,
0.029491333290934563,
-0.03901049122214317,
0.03416503965854645,
-0.0005298342439346015,
-0.0030766124837100506,
0.014964285306632519,
0.0072730956599116325,
-0.04413504898548126,
0.1310901790857315,
-0.004233065992593765,
-0.051150571554899216,
0.019366122782230377,
0.04000484570860863,
-0.027382956817746162,
-0.02184632420539856,
0.08337628096342087,
0.04373849928379059,
-0.027832772582769394,
-0.052342213690280914,
0.02571895718574524,
-0.031127359718084335,
0.049403116106987,
0.051276687532663345,
-0.01790967769920826,
0.05888694152235985,
-0.0010778548894450068,
0.1547500640153885,
0.012126176618039608,
-0.12862522900104523,
0.0043985010124742985,
0.08015526831150055,
0.0005285717197693884,
-0.07582272589206696,
0.01348932459950447,
-0.04511859640479088,
-0.057045917958021164,
0.001088544144295156,
0.03933337330818176,
0.0023002675734460354,
-0.030465513467788696,
-2.4965363917824752e-33,
-0.01622195914387703,
0.048393674194812775,
-0.024787046015262604,
-0.12264563888311386,
-0.010409682989120483,
0.009635653346776962,
0.024720992892980576,
0.020957352593541145,
-0.04614374041557312,
0.066896952688694,
0.08204338699579239,
-0.03951685130596161,
0.04087471589446068,
-0.048989057540893555,
-0.05372903123497963,
0.0547807440161705,
-0.0211881585419178,
0.046657659113407135,
-0.0183919258415699,
0.06570552289485931,
-0.028978433459997177,
0.057729966938495636,
-0.09965093433856964,
0.007608275860548019,
-0.019577262923121452,
-0.048467013984918594,
0.014305860735476017,
0.0628097727894783,
0.04063109681010246,
-0.02625042386353016,
0.056936852633953094,
0.00010955995094263926,
-0.03989671915769577,
0.0870448425412178,
-0.0366348922252655,
-0.07397421449422836,
-0.0896340012550354,
-0.05190977081656456,
-0.008741202764213085,
0.11248239129781723,
0.036205220967531204,
0.03364293649792671,
-0.09049134701490402,
0.015393493697047234,
0.0015881628496572375,
-0.06673987209796906,
-0.017632335424423218,
-0.03988596051931381,
-0.015201673842966557,
0.03558986634016037,
-0.008570895530283451,
-0.043125852942466736,
-0.0338008888065815,
0.024476399645209312,
0.011377759277820587,
-0.024645399302244186,
0.12706518173217773,
0.07915862649679184,
0.016921913251280785,
-0.06339875608682632,
0.07608694583177567,
-0.06927383691072464,
0.028406113386154175,
0.033578552305698395,
0.023809336125850677,
0.05557359755039215,
-0.0016433184500783682,
0.03270110860466957,
0.0066114794462919235,
-0.014884267002344131,
-0.023802397772669792,
0.0180433988571167,
0.028523148968815804,
0.028230739757418633,
-0.06121571362018585,
0.012700152583420277,
-0.022001441568136215,
-0.040696557611227036,
-0.021113276481628418,
0.00002650035821716301,
-0.07417893409729004,
-0.13308070600032806,
0.018335562199354172,
0.037642981857061386,
0.04249729588627815,
0.025916092097759247,
0.050284720957279205,
-0.10316088795661926,
0.07224521040916443,
-0.046161580830812454,
-0.05244806408882141,
0.08866796642541885,
0.03376873582601547,
0.08946272730827332,
0.0032821635250002146,
-3.725551778188674e-8,
-0.049508485943078995,
-0.07016748934984207,
-0.058385219424963,
-0.050018101930618286,
0.013896925374865532,
-0.030101878568530083,
-0.026666836813092232,
-0.02024129591882229,
-0.05885053426027298,
-0.05893431231379509,
0.030613793060183525,
-0.030934453010559082,
-0.049148958176374435,
-0.03009575605392456,
0.08575526624917984,
0.02857053466141224,
0.07096700370311737,
0.015773506835103035,
0.05321289971470833,
-0.03858469799160957,
0.025964224711060524,
0.008269177749752998,
0.07107356935739517,
0.02718552015721798,
-0.030444100499153137,
-0.03890000283718109,
-0.06495947390794754,
0.10327649861574173,
-0.03279897943139076,
-0.07877837121486664,
-0.005842291284352541,
0.044508885592222214,
0.03887569531798363,
-0.07785848528146744,
0.10750578343868256,
0.08540821820497513,
0.09399896115064621,
0.026910070329904556,
-0.02503151446580887,
0.06356539577245712,
0.01584789529442787,
-0.018330134451389313,
-0.023000013083219528,
0.0026549736503511667,
-0.015948915854096413,
-0.004053971730172634,
0.03399186208844185,
-0.0793960765004158,
0.05763552710413933,
0.0028193783946335316,
0.05949641019105911,
-0.029761750251054764,
0.011247244663536549,
0.021520383656024933,
0.039389412850141525,
0.04062790796160698,
0.027633650228381157,
-0.04989778622984886,
0.019633622840046883,
0.061359696090221405,
-0.04354006052017212,
0.006649381015449762,
0.027459662407636642,
0.0060516828671097755
] | null | null | null | null | null | null | null | [
-0.034635815769433975,
-0.004394748713821173,
-0.0026541552506387234,
-0.014156597666442394,
0.03747829422354698,
0.08337695896625519,
-0.007281824946403503,
0.014844059944152832,
-0.04818163812160492,
-0.09111201763153076,
0.021668873727321625,
-0.053412169218063354,
0.04177238792181015,
0.017075836658477783,
0.026638347655534744,
-0.1263517439365387,
-0.01327341329306364,
0.0370301678776741,
-0.02640456147491932,
0.041693780571222305,
-0.02432497777044773,
-0.0625646710395813,
-0.017359139397740364,
-0.0412139855325222,
-0.02063910849392414,
0.09245943278074265,
0.06560118496417999,
0.025474442169070244,
0.043418142944574356,
-0.005176182370632887,
0.058782365173101425,
-0.025592098012566566,
0.03723350912332535,
0.039013542234897614,
-0.06574137508869171,
0.05485495924949646,
-0.03225935623049736,
0.11240389943122864,
-0.031098704785108566,
-0.004887388087809086,
-0.08940524607896805,
0.003194409189745784,
-0.07305349409580231,
0.010405391454696655,
0.13536833226680756,
0.046477388590574265,
-0.056238479912281036,
-0.05798589438199997,
0.10069259256124496,
-0.08590590208768845,
-0.00800631009042263,
-0.01702200435101986,
-0.02877107262611389,
0.030877714976668358,
-0.043468110263347626,
0.03209863603115082,
-0.003390171332284808,
-0.007451049517840147,
-0.01789810135960579,
0.0785849392414093,
-0.04024043306708336,
0.005477836821228266,
0.05390557274222374,
-0.005709882825613022,
0.017524201422929764,
-0.03799821436405182,
-0.041750457137823105,
-0.009249034337699413,
0.000010994493095495272,
-0.09706979244947433,
-0.012955588288605213,
0.05541914328932762,
-0.06453806906938553,
-0.011787572875618935,
-0.04309888556599617,
0.005590498447418213,
0.029324457049369812,
0.03566425293684006,
-0.0035255965776741505,
0.004247464705258608,
-0.045950960367918015,
0.028211895376443863,
-0.01821223646402359,
-0.07110001146793365,
0.05881240591406822,
-0.016665713861584663,
-0.13858573138713837,
-0.04171985760331154,
-0.13802586495876312,
0.011684420518577099,
0.030190564692020416,
0.05968889594078064,
0.06647178530693054,
-0.061992011964321136,
0.0703965350985527,
-0.008330991491675377,
-0.010696849785745144,
-0.003276494098827243,
0.06666335463523865,
0.07054410874843597,
-0.09363286197185516,
-0.04133712127804756,
-0.014903444796800613,
-0.004975457210093737,
0.07249017059803009,
-0.03219596669077873,
0.03833966702222824,
-0.024506770074367523,
0.13221412897109985,
-0.07619277387857437,
0.01707584224641323,
-0.0016264936421066523,
-0.050938062369823456,
-0.06270602345466614,
0.0354183129966259,
-0.03060314804315567,
-0.03864756599068642,
0.007661678362637758,
0.10010624676942825,
0.05592634528875351,
-0.02663744054734707,
-0.04537278413772583,
0.05129315331578255,
-0.06444114446640015,
0.10573333501815796,
-0.01599877141416073,
-0.012692928314208984,
3.354122519857698e-33,
0.004265998490154743,
-0.00046452568494714797,
-0.019355377182364464,
-0.01887308992445469,
-0.028607528656721115,
0.01848343014717102,
0.017155852168798447,
0.03635425865650177,
0.0055211493745446205,
0.06355863809585571,
-0.071949303150177,
-0.005652020685374737,
-0.06426107883453369,
0.06804071366786957,
0.025777392089366913,
-0.002989663276821375,
0.008993935771286488,
0.01304392609745264,
0.017480900511145592,
-0.0731310099363327,
0.03835884854197502,
-0.04676127806305885,
0.1288667917251587,
0.06674313545227051,
-0.020791668444871902,
-0.017074158415198326,
0.08253588527441025,
-0.06099920719861984,
-0.03564242646098137,
-0.03128982335329056,
-0.017563097178936005,
0.041793663054704666,
-0.019479578360915184,
0.009104602038860321,
0.0906490832567215,
-0.06245478242635727,
-0.01893421821296215,
0.00332641857676208,
-0.02134203538298607,
0.0035612680949270725,
-0.07251109182834625,
0.013690616004168987,
-0.03657785430550575,
-0.09009268134832382,
-0.015980754047632217,
0.09076767414808273,
-0.010627918876707554,
0.0401308611035347,
0.009055793285369873,
0.0441410206258297,
0.021114276722073555,
0.03210997208952904,
-0.037704989314079285,
0.005554369185119867,
-0.021984895691275597,
0.029491333290934563,
-0.03901049122214317,
0.03416503965854645,
-0.0005298342439346015,
-0.0030766124837100506,
0.014964285306632519,
0.0072730956599116325,
-0.04413504898548126,
0.1310901790857315,
-0.004233065992593765,
-0.051150571554899216,
0.019366122782230377,
0.04000484570860863,
-0.027382956817746162,
-0.02184632420539856,
0.08337628096342087,
0.04373849928379059,
-0.027832772582769394,
-0.052342213690280914,
0.02571895718574524,
-0.031127359718084335,
0.049403116106987,
0.051276687532663345,
-0.01790967769920826,
0.05888694152235985,
-0.0010778548894450068,
0.1547500640153885,
0.012126176618039608,
-0.12862522900104523,
0.0043985010124742985,
0.08015526831150055,
0.0005285717197693884,
-0.07582272589206696,
0.01348932459950447,
-0.04511859640479088,
-0.057045917958021164,
0.001088544144295156,
0.03933337330818176,
0.0023002675734460354,
-0.030465513467788696,
-2.4965363917824752e-33,
-0.01622195914387703,
0.048393674194812775,
-0.024787046015262604,
-0.12264563888311386,
-0.010409682989120483,
0.009635653346776962,
0.024720992892980576,
0.020957352593541145,
-0.04614374041557312,
0.066896952688694,
0.08204338699579239,
-0.03951685130596161,
0.04087471589446068,
-0.048989057540893555,
-0.05372903123497963,
0.0547807440161705,
-0.0211881585419178,
0.046657659113407135,
-0.0183919258415699,
0.06570552289485931,
-0.028978433459997177,
0.057729966938495636,
-0.09965093433856964,
0.007608275860548019,
-0.019577262923121452,
-0.048467013984918594,
0.014305860735476017,
0.0628097727894783,
0.04063109681010246,
-0.02625042386353016,
0.056936852633953094,
0.00010955995094263926,
-0.03989671915769577,
0.0870448425412178,
-0.0366348922252655,
-0.07397421449422836,
-0.0896340012550354,
-0.05190977081656456,
-0.008741202764213085,
0.11248239129781723,
0.036205220967531204,
0.03364293649792671,
-0.09049134701490402,
0.015393493697047234,
0.0015881628496572375,
-0.06673987209796906,
-0.017632335424423218,
-0.03988596051931381,
-0.015201673842966557,
0.03558986634016037,
-0.008570895530283451,
-0.043125852942466736,
-0.0338008888065815,
0.024476399645209312,
0.011377759277820587,
-0.024645399302244186,
0.12706518173217773,
0.07915862649679184,
0.016921913251280785,
-0.06339875608682632,
0.07608694583177567,
-0.06927383691072464,
0.028406113386154175,
0.033578552305698395,
0.023809336125850677,
0.05557359755039215,
-0.0016433184500783682,
0.03270110860466957,
0.0066114794462919235,
-0.014884267002344131,
-0.023802397772669792,
0.0180433988571167,
0.028523148968815804,
0.028230739757418633,
-0.06121571362018585,
0.012700152583420277,
-0.022001441568136215,
-0.040696557611227036,
-0.021113276481628418,
0.00002650035821716301,
-0.07417893409729004,
-0.13308070600032806,
0.018335562199354172,
0.037642981857061386,
0.04249729588627815,
0.025916092097759247,
0.050284720957279205,
-0.10316088795661926,
0.07224521040916443,
-0.046161580830812454,
-0.05244806408882141,
0.08866796642541885,
0.03376873582601547,
0.08946272730827332,
0.0032821635250002146,
-3.725551778188674e-8,
-0.049508485943078995,
-0.07016748934984207,
-0.058385219424963,
-0.050018101930618286,
0.013896925374865532,
-0.030101878568530083,
-0.026666836813092232,
-0.02024129591882229,
-0.05885053426027298,
-0.05893431231379509,
0.030613793060183525,
-0.030934453010559082,
-0.049148958176374435,
-0.03009575605392456,
0.08575526624917984,
0.02857053466141224,
0.07096700370311737,
0.015773506835103035,
0.05321289971470833,
-0.03858469799160957,
0.025964224711060524,
0.008269177749752998,
0.07107356935739517,
0.02718552015721798,
-0.030444100499153137,
-0.03890000283718109,
-0.06495947390794754,
0.10327649861574173,
-0.03279897943139076,
-0.07877837121486664,
-0.005842291284352541,
0.044508885592222214,
0.03887569531798363,
-0.07785848528146744,
0.10750578343868256,
0.08540821820497513,
0.09399896115064621,
0.026910070329904556,
-0.02503151446580887,
0.06356539577245712,
0.01584789529442787,
-0.018330134451389313,
-0.023000013083219528,
0.0026549736503511667,
-0.015948915854096413,
-0.004053971730172634,
0.03399186208844185,
-0.0793960765004158,
0.05763552710413933,
0.0028193783946335316,
0.05949641019105911,
-0.029761750251054764,
0.011247244663536549,
0.021520383656024933,
0.039389412850141525,
0.04062790796160698,
0.027633650228381157,
-0.04989778622984886,
0.019633622840046883,
0.061359696090221405,
-0.04354006052017212,
0.006649381015449762,
0.027459662407636642,
0.0060516828671097755
] |
1401.0396 | Marek Piotr\'ow | Marek Piotr\'ow | Faster 3-Periodic Merging Networks | null | null | null | null | cs.DS cs.DC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of merging two sorted sequences on a comparator
network that is used repeatedly, that is, if the output is not sorted, the
network is applied again using the output as input. The challenging task is to
construct such networks of small depth. The first constructions of merging
networks with a constant period were given by Kuty{\l}owski, Lory\'s and
Oesterdikhoff. They have given $3$-periodic network that merges two sorted
sequences of $N$ numbers in time $12\log N$ and a similar network of period $4$
that works in $5.67\log N$. We present a new family of such networks that are
based on Canfield and Williamson periodic sorter. Our $3$-periodic merging
networks work in time upper-bounded by $6\log N$. The construction can be
easily generalized to larger constant periods with decreasing running time, for
example, to $4$-periodic ones that work in time upper-bounded by $4\log N$.
Moreover, to obtain the facts we have introduced a new proof technique.
| [
{
"created": "Thu, 2 Jan 2014 09:24:17 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Piotrów",
"Marek",
""
]
] | [
-0.053292494267225266,
-0.019815340638160706,
-0.002983987098559737,
-0.09513581544160843,
-0.040934111922979355,
-0.00023960806720424443,
-0.02469482645392418,
-0.009743866510689259,
0.017902472987771034,
-0.08357632905244827,
-0.03786131739616394,
0.07047371566295624,
0.00402591098099947,
0.007281935308128595,
-0.05568454787135124,
0.036360397934913635,
-0.06519922614097595,
0.07344313710927963,
0.03319678083062172,
-0.01429907139390707,
0.01006681751459837,
0.007962186820805073,
-0.00920312013477087,
0.009744251146912575,
0.00669997138902545,
-0.027525076642632484,
-0.03719865903258324,
-0.00043904889025725424,
0.03274407982826233,
-0.03333625942468643,
0.007881366647779942,
0.021402820944786072,
0.029478592798113823,
0.05755194276571274,
-0.021359862759709358,
-0.01616000384092331,
0.026181718334555626,
-0.020935747772455215,
0.04325006529688835,
0.036739055067300797,
0.030675677582621574,
0.06974971294403076,
0.019470570608973503,
-0.0024953994434326887,
-0.09800712764263153,
0.038019049912691116,
-0.0386510044336319,
-0.00444509694352746,
-0.06721627712249756,
-0.05510527268052101,
-0.09215126186609268,
0.027943676337599754,
0.026341095566749573,
0.0311483982950449,
0.03217728063464165,
0.0028607600834220648,
-0.08768118172883987,
0.04008067399263382,
-0.08024279028177261,
0.024361832067370415,
0.0650310069322586,
-0.02040499821305275,
-0.032926153391599655,
-0.05820206552743912,
0.0645117312669754,
0.036834247410297394,
0.03821755200624466,
0.0918188989162445,
0.023287655785679817,
0.056126177310943604,
0.04277854785323143,
-0.013194430619478226,
-0.08300759643316269,
0.031724534928798676,
-0.02502046898007393,
0.07655985653400421,
-0.011715289205312729,
-0.0006375403609126806,
-0.09903381764888763,
-0.015849754214286804,
-0.042113352566957474,
-0.029485661536455154,
-0.02750701829791069,
-0.04219171777367592,
0.0204145610332489,
-0.08540172129869461,
-0.11079719662666321,
0.025447672232985497,
0.029983440414071083,
-0.07525910437107086,
-0.06840507686138153,
0.03704506531357765,
0.0223096776753664,
0.02958289347589016,
0.008604686707258224,
0.021932778880000114,
0.07611320912837982,
0.06413639336824417,
0.030548635870218277,
0.10618001967668533,
-0.0290999636054039,
-0.036842864006757736,
0.007458060514181852,
-0.039040762931108475,
0.08546356111764908,
0.02876238338649273,
-0.04604170471429825,
0.047959525138139725,
-0.02479885146021843,
-0.034304723143577576,
0.04563538730144501,
0.0019102500518783927,
-0.01110904198139906,
-0.0012856569373980165,
0.06444281339645386,
-0.017046218737959862,
-0.025720348581671715,
-0.037827953696250916,
0.06567063182592392,
0.018567372113466263,
0.03730683773756027,
0.00004508520578383468,
-0.10679687559604645,
0.047279007732868195,
0.07139629125595093,
0.06763484328985214,
0.09494312852621078,
3.774553502792644e-33,
0.01163608580827713,
0.082917720079422,
0.07193614542484283,
-0.05842383950948715,
0.059526171535253525,
0.03124401532113552,
-0.02058224007487297,
-0.06525540351867676,
0.01923644356429577,
-0.024027204141020775,
-0.044314488768577576,
0.06090327724814415,
0.03711117431521416,
-0.04532894864678383,
0.0004565651761367917,
-0.146100252866745,
0.10161127150058746,
-0.017064832150936127,
0.06485698372125626,
-0.10267895460128784,
0.04548469930887222,
-0.032935064285993576,
-0.03094605728983879,
0.0069766840897500515,
-0.055099938064813614,
-0.07381186634302139,
0.041905004531145096,
-0.08062433451414108,
0.046572547405958176,
-0.023369787260890007,
-0.045759860426187515,
0.02244565449655056,
0.020909013226628304,
0.0971180871129036,
0.017695056274533272,
-0.0189230814576149,
0.05066896602511406,
0.018635058775544167,
0.03518012538552284,
-0.04609265550971031,
0.0002033342025242746,
-0.022818803787231445,
-0.06436819583177567,
-0.021439973264932632,
0.030306678265333176,
-0.11068900674581528,
0.007328587118536234,
0.07441733777523041,
0.015742305666208267,
0.0031079240143299103,
-0.009837453253567219,
-0.05940687283873558,
0.03559068217873573,
-0.041433509439229965,
0.029521116986870766,
-0.04440741613507271,
0.048488300293684006,
0.009045121259987354,
0.06224172189831734,
0.14749905467033386,
0.02974647656083107,
-0.012674241326749325,
0.02848934195935726,
0.014511488378047943,
0.009545182809233665,
-0.0297920573502779,
0.047941792756319046,
-0.00006836022657807916,
0.09443645179271698,
0.002133009722456336,
-0.04833517223596573,
0.015783095732331276,
-0.031005747616291046,
-0.050264108926057816,
0.08499298989772797,
-0.016795717179775238,
-0.04474961385130882,
-0.06140526756644249,
-0.0564885213971138,
-0.003877730341628194,
0.049143336713314056,
-0.03145019710063934,
0.09398961812257767,
0.05298249050974846,
0.022781146690249443,
-0.005704095587134361,
-0.030210323631763458,
0.0783253014087677,
-0.03154630586504936,
-0.047403641045093536,
0.03947443515062332,
-0.034643519669771194,
0.08570734411478043,
0.07602798193693161,
0.051033005118370056,
-2.4551837862174933e-33,
0.07256440818309784,
0.04288342222571373,
0.030898716300725937,
0.10509761422872543,
0.06971558928489685,
-0.0362781397998333,
-0.04414091631770134,
-0.0018159800674766302,
-0.020943887531757355,
0.029217101633548737,
0.00009927224891725928,
-0.041194479912519455,
0.12311568111181259,
-0.046765293926000595,
0.04527347907423973,
-0.06934650987386703,
0.03374181315302849,
-0.0020173073280602694,
0.023159397765994072,
-0.04019216448068619,
0.04251126945018768,
-0.026852700859308243,
-0.08915237337350845,
-0.03315729647874832,
-0.00707970978692174,
0.039295412600040436,
-0.005943254102021456,
0.0033915583044290543,
-0.019490376114845276,
0.047857820987701416,
0.02450801618397236,
-0.09532300382852554,
0.006922607310116291,
-0.09654466062784195,
0.06289646029472351,
-0.007884214632213116,
0.07134357839822769,
0.060972463339567184,
-0.0189436636865139,
0.051049552857875824,
-0.0007280644495040178,
-0.06928090751171112,
0.02220708504319191,
-0.016304336488246918,
0.016256418079137802,
0.008993619121611118,
-0.035504598170518875,
0.005422853399068117,
-0.08557018637657166,
-0.010546677745878696,
-0.0033023094292730093,
0.05041021481156349,
-0.03683066740632057,
-0.037667710334062576,
-0.007815138436853886,
0.048648908734321594,
0.017181850969791412,
0.08645559847354889,
0.026822589337825775,
-0.0017549680778756738,
0.00843324139714241,
-0.04539285972714424,
-0.011226541362702847,
-0.00887618400156498,
0.023400042206048965,
-0.07088475674390793,
-0.10190363228321075,
-0.07180466502904892,
-0.04971367120742798,
0.05179476737976074,
-0.011590930633246899,
0.06170728802680969,
0.020725836977362633,
0.002718820935115218,
-0.06676016747951508,
-0.0326022207736969,
0.08500038832426071,
0.07056115567684174,
-0.015601426362991333,
0.01376374065876007,
-0.10982538014650345,
0.046317607164382935,
0.0118413669988513,
-0.020618265494704247,
-0.049230992794036865,
-0.011011723428964615,
0.08195608109235764,
0.026528308168053627,
0.021105485036969185,
-0.03772145137190819,
0.013818260282278061,
-0.025152763351798058,
0.03109242022037506,
0.054625481367111206,
0.030230598524212837,
-5.000500280516462e-8,
-0.02569212019443512,
-0.018462128937244415,
-0.06423013657331467,
0.00744204968214035,
0.16168911755084991,
-0.05847054719924927,
0.09149675816297531,
0.07235689461231232,
0.038196757435798645,
-0.02344040386378765,
0.08153116703033447,
0.011289074085652828,
-0.048047393560409546,
0.026592014357447624,
-0.022456806153059006,
-0.05199562758207321,
-0.01470409706234932,
-0.14710184931755066,
-0.028306497260928154,
-0.07309377938508987,
-0.03683758154511452,
-0.028401946648955345,
0.06764053553342819,
0.03130766376852989,
0.02882521227002144,
0.016935687512159348,
-0.06477268040180206,
0.023570341989398003,
0.058240536600351334,
0.019943008199334145,
-0.022665586322546005,
0.04532027989625931,
0.07196325063705444,
-0.023740429431200027,
-0.10013245046138763,
0.04220307245850563,
-0.048810336738824844,
0.10798199474811554,
-0.08898094296455383,
-0.10503428429365158,
-0.08388633280992508,
-0.01661970466375351,
-0.04415913298726082,
-0.0037368584889918566,
0.07464919239282608,
-0.11536010354757309,
-0.027979103848338127,
-0.0057438695803284645,
0.04689132794737816,
-0.003525696462020278,
-0.0534481517970562,
0.00691897002980113,
0.07917769998311996,
-0.06217297539114952,
0.012032079510390759,
0.02974000759422779,
-0.026845639571547508,
-0.054574914276599884,
0.010104288347065449,
-0.004608565010130405,
-0.03838652744889259,
-0.007995386607944965,
-0.025070911273360252,
0.035442426800727844
] | null | null | null | null | null | null | null | [
-0.053292494267225266,
-0.019815340638160706,
-0.002983987098559737,
-0.09513581544160843,
-0.040934111922979355,
-0.00023960806720424443,
-0.02469482645392418,
-0.009743866510689259,
0.017902472987771034,
-0.08357632905244827,
-0.03786131739616394,
0.07047371566295624,
0.00402591098099947,
0.007281935308128595,
-0.05568454787135124,
0.036360397934913635,
-0.06519922614097595,
0.07344313710927963,
0.03319678083062172,
-0.01429907139390707,
0.01006681751459837,
0.007962186820805073,
-0.00920312013477087,
0.009744251146912575,
0.00669997138902545,
-0.027525076642632484,
-0.03719865903258324,
-0.00043904889025725424,
0.03274407982826233,
-0.03333625942468643,
0.007881366647779942,
0.021402820944786072,
0.029478592798113823,
0.05755194276571274,
-0.021359862759709358,
-0.01616000384092331,
0.026181718334555626,
-0.020935747772455215,
0.04325006529688835,
0.036739055067300797,
0.030675677582621574,
0.06974971294403076,
0.019470570608973503,
-0.0024953994434326887,
-0.09800712764263153,
0.038019049912691116,
-0.0386510044336319,
-0.00444509694352746,
-0.06721627712249756,
-0.05510527268052101,
-0.09215126186609268,
0.027943676337599754,
0.026341095566749573,
0.0311483982950449,
0.03217728063464165,
0.0028607600834220648,
-0.08768118172883987,
0.04008067399263382,
-0.08024279028177261,
0.024361832067370415,
0.0650310069322586,
-0.02040499821305275,
-0.032926153391599655,
-0.05820206552743912,
0.0645117312669754,
0.036834247410297394,
0.03821755200624466,
0.0918188989162445,
0.023287655785679817,
0.056126177310943604,
0.04277854785323143,
-0.013194430619478226,
-0.08300759643316269,
0.031724534928798676,
-0.02502046898007393,
0.07655985653400421,
-0.011715289205312729,
-0.0006375403609126806,
-0.09903381764888763,
-0.015849754214286804,
-0.042113352566957474,
-0.029485661536455154,
-0.02750701829791069,
-0.04219171777367592,
0.0204145610332489,
-0.08540172129869461,
-0.11079719662666321,
0.025447672232985497,
0.029983440414071083,
-0.07525910437107086,
-0.06840507686138153,
0.03704506531357765,
0.0223096776753664,
0.02958289347589016,
0.008604686707258224,
0.021932778880000114,
0.07611320912837982,
0.06413639336824417,
0.030548635870218277,
0.10618001967668533,
-0.0290999636054039,
-0.036842864006757736,
0.007458060514181852,
-0.039040762931108475,
0.08546356111764908,
0.02876238338649273,
-0.04604170471429825,
0.047959525138139725,
-0.02479885146021843,
-0.034304723143577576,
0.04563538730144501,
0.0019102500518783927,
-0.01110904198139906,
-0.0012856569373980165,
0.06444281339645386,
-0.017046218737959862,
-0.025720348581671715,
-0.037827953696250916,
0.06567063182592392,
0.018567372113466263,
0.03730683773756027,
0.00004508520578383468,
-0.10679687559604645,
0.047279007732868195,
0.07139629125595093,
0.06763484328985214,
0.09494312852621078,
3.774553502792644e-33,
0.01163608580827713,
0.082917720079422,
0.07193614542484283,
-0.05842383950948715,
0.059526171535253525,
0.03124401532113552,
-0.02058224007487297,
-0.06525540351867676,
0.01923644356429577,
-0.024027204141020775,
-0.044314488768577576,
0.06090327724814415,
0.03711117431521416,
-0.04532894864678383,
0.0004565651761367917,
-0.146100252866745,
0.10161127150058746,
-0.017064832150936127,
0.06485698372125626,
-0.10267895460128784,
0.04548469930887222,
-0.032935064285993576,
-0.03094605728983879,
0.0069766840897500515,
-0.055099938064813614,
-0.07381186634302139,
0.041905004531145096,
-0.08062433451414108,
0.046572547405958176,
-0.023369787260890007,
-0.045759860426187515,
0.02244565449655056,
0.020909013226628304,
0.0971180871129036,
0.017695056274533272,
-0.0189230814576149,
0.05066896602511406,
0.018635058775544167,
0.03518012538552284,
-0.04609265550971031,
0.0002033342025242746,
-0.022818803787231445,
-0.06436819583177567,
-0.021439973264932632,
0.030306678265333176,
-0.11068900674581528,
0.007328587118536234,
0.07441733777523041,
0.015742305666208267,
0.0031079240143299103,
-0.009837453253567219,
-0.05940687283873558,
0.03559068217873573,
-0.041433509439229965,
0.029521116986870766,
-0.04440741613507271,
0.048488300293684006,
0.009045121259987354,
0.06224172189831734,
0.14749905467033386,
0.02974647656083107,
-0.012674241326749325,
0.02848934195935726,
0.014511488378047943,
0.009545182809233665,
-0.0297920573502779,
0.047941792756319046,
-0.00006836022657807916,
0.09443645179271698,
0.002133009722456336,
-0.04833517223596573,
0.015783095732331276,
-0.031005747616291046,
-0.050264108926057816,
0.08499298989772797,
-0.016795717179775238,
-0.04474961385130882,
-0.06140526756644249,
-0.0564885213971138,
-0.003877730341628194,
0.049143336713314056,
-0.03145019710063934,
0.09398961812257767,
0.05298249050974846,
0.022781146690249443,
-0.005704095587134361,
-0.030210323631763458,
0.0783253014087677,
-0.03154630586504936,
-0.047403641045093536,
0.03947443515062332,
-0.034643519669771194,
0.08570734411478043,
0.07602798193693161,
0.051033005118370056,
-2.4551837862174933e-33,
0.07256440818309784,
0.04288342222571373,
0.030898716300725937,
0.10509761422872543,
0.06971558928489685,
-0.0362781397998333,
-0.04414091631770134,
-0.0018159800674766302,
-0.020943887531757355,
0.029217101633548737,
0.00009927224891725928,
-0.041194479912519455,
0.12311568111181259,
-0.046765293926000595,
0.04527347907423973,
-0.06934650987386703,
0.03374181315302849,
-0.0020173073280602694,
0.023159397765994072,
-0.04019216448068619,
0.04251126945018768,
-0.026852700859308243,
-0.08915237337350845,
-0.03315729647874832,
-0.00707970978692174,
0.039295412600040436,
-0.005943254102021456,
0.0033915583044290543,
-0.019490376114845276,
0.047857820987701416,
0.02450801618397236,
-0.09532300382852554,
0.006922607310116291,
-0.09654466062784195,
0.06289646029472351,
-0.007884214632213116,
0.07134357839822769,
0.060972463339567184,
-0.0189436636865139,
0.051049552857875824,
-0.0007280644495040178,
-0.06928090751171112,
0.02220708504319191,
-0.016304336488246918,
0.016256418079137802,
0.008993619121611118,
-0.035504598170518875,
0.005422853399068117,
-0.08557018637657166,
-0.010546677745878696,
-0.0033023094292730093,
0.05041021481156349,
-0.03683066740632057,
-0.037667710334062576,
-0.007815138436853886,
0.048648908734321594,
0.017181850969791412,
0.08645559847354889,
0.026822589337825775,
-0.0017549680778756738,
0.00843324139714241,
-0.04539285972714424,
-0.011226541362702847,
-0.00887618400156498,
0.023400042206048965,
-0.07088475674390793,
-0.10190363228321075,
-0.07180466502904892,
-0.04971367120742798,
0.05179476737976074,
-0.011590930633246899,
0.06170728802680969,
0.020725836977362633,
0.002718820935115218,
-0.06676016747951508,
-0.0326022207736969,
0.08500038832426071,
0.07056115567684174,
-0.015601426362991333,
0.01376374065876007,
-0.10982538014650345,
0.046317607164382935,
0.0118413669988513,
-0.020618265494704247,
-0.049230992794036865,
-0.011011723428964615,
0.08195608109235764,
0.026528308168053627,
0.021105485036969185,
-0.03772145137190819,
0.013818260282278061,
-0.025152763351798058,
0.03109242022037506,
0.054625481367111206,
0.030230598524212837,
-5.000500280516462e-8,
-0.02569212019443512,
-0.018462128937244415,
-0.06423013657331467,
0.00744204968214035,
0.16168911755084991,
-0.05847054719924927,
0.09149675816297531,
0.07235689461231232,
0.038196757435798645,
-0.02344040386378765,
0.08153116703033447,
0.011289074085652828,
-0.048047393560409546,
0.026592014357447624,
-0.022456806153059006,
-0.05199562758207321,
-0.01470409706234932,
-0.14710184931755066,
-0.028306497260928154,
-0.07309377938508987,
-0.03683758154511452,
-0.028401946648955345,
0.06764053553342819,
0.03130766376852989,
0.02882521227002144,
0.016935687512159348,
-0.06477268040180206,
0.023570341989398003,
0.058240536600351334,
0.019943008199334145,
-0.022665586322546005,
0.04532027989625931,
0.07196325063705444,
-0.023740429431200027,
-0.10013245046138763,
0.04220307245850563,
-0.048810336738824844,
0.10798199474811554,
-0.08898094296455383,
-0.10503428429365158,
-0.08388633280992508,
-0.01661970466375351,
-0.04415913298726082,
-0.0037368584889918566,
0.07464919239282608,
-0.11536010354757309,
-0.027979103848338127,
-0.0057438695803284645,
0.04689132794737816,
-0.003525696462020278,
-0.0534481517970562,
0.00691897002980113,
0.07917769998311996,
-0.06217297539114952,
0.012032079510390759,
0.02974000759422779,
-0.026845639571547508,
-0.054574914276599884,
0.010104288347065449,
-0.004608565010130405,
-0.03838652744889259,
-0.007995386607944965,
-0.025070911273360252,
0.035442426800727844
] |
1401.0400 | Simon Schmidt | Gabriel Renault and Simon Schmidt | On the Complexity of the Mis\`ere Version of Three Games Played on
Graphs | null | null | null | null | cs.DM math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the complexity of finding a winning strategy for the mis\`ere
version of three games played on graphs : two variants of the game
$\text{NimG}$, introduced by Stockmann in 2004 and the game $\text{Vertex
Geography}$ on both directed and undirected graphs. We show that on general
graphs those three games are $\text{PSPACE}$-Hard or Complete. For one
$\text{PSPACE}$-Hard variant of $\text{NimG}$, we find an algorithm to compute
an effective winning strategy in time $\mathcal{O}(\sqrt{|V(G)|}.|E(G)|)$ when
$G$ is a bipartite graph.
| [
{
"created": "Thu, 2 Jan 2014 09:43:40 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2015 16:12:37 GMT",
"version": "v2"
}
] | 2015-05-05 | [
[
"Renault",
"Gabriel",
""
],
[
"Schmidt",
"Simon",
""
]
] | [
0.013020869344472885,
-0.02649870328605175,
0.006005727685987949,
-0.0841587707400322,
0.00017785676755011082,
-0.015679193660616875,
0.008565821684896946,
0.014486757107079029,
-0.029668349772691727,
0.09279021620750427,
-0.0978911742568016,
0.03882468119263649,
0.02813030034303665,
0.007072437088936567,
0.015284058637917042,
-0.0008404183899983764,
0.05476640537381172,
-0.002424458973109722,
0.05851363018155098,
-0.015564748086035252,
0.0401933453977108,
-0.08199656009674072,
0.007216812577098608,
-0.06709209829568863,
0.07907265424728394,
-0.018332554027438164,
-0.04343315213918686,
0.0219208262860775,
0.006851468235254288,
-0.05780825763940811,
0.03881946578621864,
-0.022213701158761978,
0.040496014058589935,
0.046972643584012985,
-0.06155061349272728,
0.03896443918347359,
-0.04733964428305626,
-0.016157615929841995,
0.031223420053720474,
0.06484437733888626,
0.017892085015773773,
0.06522480398416519,
0.019695453345775604,
0.03629283607006073,
0.014264639467000961,
0.04367571324110031,
-0.09912721812725067,
0.058830782771110535,
-0.02421296201646328,
-0.03553425148129463,
-0.039362628012895584,
-0.05345546826720238,
-0.010610174387693405,
-0.04116476699709892,
0.04395286738872528,
-0.0638047456741333,
0.0004682145663537085,
0.058781687170267105,
0.025422966107726097,
0.027676239609718323,
0.116374172270298,
-0.0727320984005928,
-0.040856193751096725,
-0.04265104979276657,
0.008274848572909832,
-0.002757095964625478,
0.08490735292434692,
0.015583219937980175,
-0.08606591075658798,
0.0616026408970356,
0.096990205347538,
-0.024060240015387535,
-0.18725422024726868,
0.057950764894485474,
0.026480410248041153,
0.049342378973960876,
0.005049527622759342,
0.04840822145342827,
-0.05138044059276581,
-0.0017171526560559869,
0.0035029463469982147,
0.004361608065664768,
-0.028996247798204422,
0.027257278561592102,
0.011753486469388008,
-0.031995177268981934,
-0.06825083494186401,
-0.0037064875941723585,
0.1862180531024933,
-0.089820496737957,
-0.14222820103168488,
0.04598766192793846,
0.007893326692283154,
0.06929098069667816,
0.039310287684202194,
0.0416824147105217,
-0.004508402664214373,
-0.004128156695514917,
0.028137492015957832,
0.0880676656961441,
0.008910313248634338,
0.06702961772680283,
-0.010831886902451515,
-0.010183129459619522,
0.09247993677854538,
0.08861997723579407,
-0.018463624641299248,
0.08478382229804993,
-0.015577145852148533,
-0.01778479665517807,
-0.022660518065094948,
0.05954670161008835,
0.04081631824374199,
0.04028908535838127,
-0.03931557387113571,
-0.020416872575879097,
0.021390236914157867,
-0.005813832860440016,
-0.02453095093369484,
0.07139411568641663,
0.028467517346143723,
0.06648742407560349,
0.003958652727305889,
-0.0005309749394655228,
-0.02584034763276577,
0.012789536267518997,
0.029561655595898628,
-4.325716355270321e-34,
-0.011319492943584919,
-0.00948293972760439,
0.05014404281973839,
0.028369801118969917,
-0.01763756014406681,
0.05768338590860367,
-0.0014143317239359021,
-0.05926225706934929,
-0.017971673980355263,
-0.0070319888181984425,
-0.09659110754728317,
0.06961527466773987,
-0.0017929639434441924,
0.008381176739931107,
0.17620810866355896,
0.01243310421705246,
0.06363502889871597,
-0.012263539247214794,
0.031249314546585083,
-0.11303326487541199,
0.0806160643696785,
0.00732354586943984,
0.031533073633909225,
-0.048323314636945724,
0.03554951772093773,
-0.016352633014321327,
-0.05944449082016945,
-0.1004616916179657,
0.018637672066688538,
-0.04206261411309242,
-0.04070531204342842,
-0.05148531496524811,
-0.06147124245762825,
0.08884221315383911,
-0.008104599080979824,
-0.020628560334444046,
-0.03617006540298462,
-0.00043480220483615994,
-0.019853202626109123,
0.026759939268231392,
-0.08680536597967148,
0.02999982237815857,
-0.02144085057079792,
0.004746898543089628,
-0.03868936747312546,
-0.032645829021930695,
-0.024993548169732094,
-0.08109898120164871,
-0.006681649014353752,
0.025350430980324745,
-0.008023970760405064,
-0.024571746587753296,
0.02660425566136837,
0.005800875835120678,
0.0371583066880703,
-0.009011020883917809,
0.056859321892261505,
0.05017969757318497,
0.00672451127320528,
0.05905638635158539,
0.07222593575716019,
-0.037888359278440475,
0.048172179609537125,
0.02649671956896782,
-0.0676608607172966,
0.0593448206782341,
-0.04626341909170151,
-0.03657275438308716,
0.09393511712551117,
-0.06931131333112717,
-0.006521110888570547,
-0.0028004373889416456,
0.03202373534440994,
-0.07464027404785156,
0.05339052155613899,
-0.07094180583953857,
0.008352414704859257,
-0.10968800634145737,
-0.07903028279542923,
-0.0348639152944088,
-0.036704692989587784,
-0.11023063212633133,
-0.03478347882628441,
-0.03741144388914108,
-0.08084836602210999,
-0.0648404210805893,
0.033858004957437515,
-0.057439014315605164,
-0.010367827489972115,
0.018820928409695625,
-0.0737379714846611,
-0.04538433998823166,
-0.04610016569495201,
0.026370927691459656,
0.041377536952495575,
3.7942140590698794e-34,
-0.006243860814720392,
-0.05512235313653946,
0.03888322785496712,
0.0525348037481308,
0.03753739967942238,
-0.03700427711009979,
-0.013058516196906567,
-0.0228458009660244,
-0.058004092425107956,
0.05559464171528816,
-0.06624503433704376,
0.032429274171590805,
0.08875986933708191,
0.05224617198109627,
0.003978075925260782,
-0.055553145706653595,
0.09446430951356888,
0.0746830552816391,
-0.015652380883693695,
0.016660183668136597,
0.07692533731460571,
0.016605695709586143,
-0.05813669413328171,
-0.01278002094477415,
0.11281225830316544,
0.0682503879070282,
-0.01237889938056469,
-0.06873360276222229,
-0.05962870270013809,
0.05404086038470268,
0.00017740426119416952,
-0.03936440497636795,
-0.060492612421512604,
-0.023224230855703354,
0.046057119965553284,
0.04358064755797386,
0.04037592187523842,
0.05976204201579094,
0.00399040337651968,
0.004714293871074915,
-0.06426922231912613,
0.021440275013446808,
-0.09428571164608002,
0.031191255897283554,
0.026255303993821144,
0.13934622704982758,
-0.0035173059441149235,
0.02888813614845276,
-0.04637030139565468,
-0.025156524032354355,
0.009883081540465355,
0.02617514133453369,
0.00012233642337378114,
0.006045290268957615,
0.00713077187538147,
-0.06341666728258133,
-0.03823944553732872,
0.09053100645542145,
-0.0402725413441658,
-0.009380687959492207,
-0.01724923588335514,
0.03351433202624321,
-0.09788075089454651,
0.07011265307664871,
-0.027457334101200104,
0.02583935856819153,
-0.060763340443372726,
-0.02758650854229927,
0.03397347778081894,
0.029216738417744637,
-0.047120995819568634,
0.0688057467341423,
-0.08944051712751389,
-0.040257930755615234,
0.012045569717884064,
0.1303377002477646,
0.028399260714650154,
0.11949724704027176,
-0.003442874876782298,
0.00772987911477685,
-0.04485810548067093,
0.02681540511548519,
0.048563748598098755,
-0.007034224923700094,
-0.013821471482515335,
0.02939014881849289,
0.007125913165509701,
-0.021206650882959366,
-0.026992419734597206,
-0.027005482465028763,
0.04375090077519417,
-0.01620335318148136,
0.04251878708600998,
0.01977289281785488,
-0.02077454887330532,
-4.059970848402372e-8,
-0.048448510468006134,
0.008073979057371616,
0.04303999990224838,
-0.026252958923578262,
0.05233784765005112,
-0.013432464562356472,
0.06191235035657883,
0.05188416317105293,
-0.023692166432738304,
0.10280267149209976,
0.030657954514026642,
0.014717194251716137,
-0.024535726755857468,
0.002464828547090292,
0.010936141945421696,
-0.011317441239953041,
0.010231186635792255,
-0.03224138543009758,
-0.013051728717982769,
0.06464829295873642,
-0.006445306818932295,
0.005115689244121313,
-0.0031528552062809467,
-0.04166907072067261,
-0.024632366374135017,
-0.01835910975933075,
-0.0436510294675827,
-0.04742683097720146,
-0.02011888474225998,
0.09610719978809357,
0.0570058636367321,
0.0006810604245401919,
0.09708476066589355,
0.039119839668273926,
-0.011542314663529396,
0.014788641594350338,
-0.019837316125631332,
0.08845838904380798,
-0.052973248064517975,
-0.028457598760724068,
-0.05931450054049492,
0.022099746391177177,
-0.020570460706949234,
-0.036835771054029465,
0.00977853313088417,
0.03772774338722229,
0.012976068072021008,
-0.038603559136390686,
0.03463636711239815,
-0.13876332342624664,
-0.01604459062218666,
-0.021254325285553932,
-0.09005605429410934,
-0.04577287659049034,
0.01989668235182762,
0.04271165654063225,
-0.005529740359634161,
-0.0770009458065033,
0.03649752214550972,
-0.019103912636637688,
-0.041506327688694,
-0.030820392072200775,
-0.03297251835465431,
0.009877308271825314
] | null | null | null | null | null | null | null | [
0.013020869344472885,
-0.02649870328605175,
0.006005727685987949,
-0.0841587707400322,
0.00017785676755011082,
-0.015679193660616875,
0.008565821684896946,
0.014486757107079029,
-0.029668349772691727,
0.09279021620750427,
-0.0978911742568016,
0.03882468119263649,
0.02813030034303665,
0.007072437088936567,
0.015284058637917042,
-0.0008404183899983764,
0.05476640537381172,
-0.002424458973109722,
0.05851363018155098,
-0.015564748086035252,
0.0401933453977108,
-0.08199656009674072,
0.007216812577098608,
-0.06709209829568863,
0.07907265424728394,
-0.018332554027438164,
-0.04343315213918686,
0.0219208262860775,
0.006851468235254288,
-0.05780825763940811,
0.03881946578621864,
-0.022213701158761978,
0.040496014058589935,
0.046972643584012985,
-0.06155061349272728,
0.03896443918347359,
-0.04733964428305626,
-0.016157615929841995,
0.031223420053720474,
0.06484437733888626,
0.017892085015773773,
0.06522480398416519,
0.019695453345775604,
0.03629283607006073,
0.014264639467000961,
0.04367571324110031,
-0.09912721812725067,
0.058830782771110535,
-0.02421296201646328,
-0.03553425148129463,
-0.039362628012895584,
-0.05345546826720238,
-0.010610174387693405,
-0.04116476699709892,
0.04395286738872528,
-0.0638047456741333,
0.0004682145663537085,
0.058781687170267105,
0.025422966107726097,
0.027676239609718323,
0.116374172270298,
-0.0727320984005928,
-0.040856193751096725,
-0.04265104979276657,
0.008274848572909832,
-0.002757095964625478,
0.08490735292434692,
0.015583219937980175,
-0.08606591075658798,
0.0616026408970356,
0.096990205347538,
-0.024060240015387535,
-0.18725422024726868,
0.057950764894485474,
0.026480410248041153,
0.049342378973960876,
0.005049527622759342,
0.04840822145342827,
-0.05138044059276581,
-0.0017171526560559869,
0.0035029463469982147,
0.004361608065664768,
-0.028996247798204422,
0.027257278561592102,
0.011753486469388008,
-0.031995177268981934,
-0.06825083494186401,
-0.0037064875941723585,
0.1862180531024933,
-0.089820496737957,
-0.14222820103168488,
0.04598766192793846,
0.007893326692283154,
0.06929098069667816,
0.039310287684202194,
0.0416824147105217,
-0.004508402664214373,
-0.004128156695514917,
0.028137492015957832,
0.0880676656961441,
0.008910313248634338,
0.06702961772680283,
-0.010831886902451515,
-0.010183129459619522,
0.09247993677854538,
0.08861997723579407,
-0.018463624641299248,
0.08478382229804993,
-0.015577145852148533,
-0.01778479665517807,
-0.022660518065094948,
0.05954670161008835,
0.04081631824374199,
0.04028908535838127,
-0.03931557387113571,
-0.020416872575879097,
0.021390236914157867,
-0.005813832860440016,
-0.02453095093369484,
0.07139411568641663,
0.028467517346143723,
0.06648742407560349,
0.003958652727305889,
-0.0005309749394655228,
-0.02584034763276577,
0.012789536267518997,
0.029561655595898628,
-4.325716355270321e-34,
-0.011319492943584919,
-0.00948293972760439,
0.05014404281973839,
0.028369801118969917,
-0.01763756014406681,
0.05768338590860367,
-0.0014143317239359021,
-0.05926225706934929,
-0.017971673980355263,
-0.0070319888181984425,
-0.09659110754728317,
0.06961527466773987,
-0.0017929639434441924,
0.008381176739931107,
0.17620810866355896,
0.01243310421705246,
0.06363502889871597,
-0.012263539247214794,
0.031249314546585083,
-0.11303326487541199,
0.0806160643696785,
0.00732354586943984,
0.031533073633909225,
-0.048323314636945724,
0.03554951772093773,
-0.016352633014321327,
-0.05944449082016945,
-0.1004616916179657,
0.018637672066688538,
-0.04206261411309242,
-0.04070531204342842,
-0.05148531496524811,
-0.06147124245762825,
0.08884221315383911,
-0.008104599080979824,
-0.020628560334444046,
-0.03617006540298462,
-0.00043480220483615994,
-0.019853202626109123,
0.026759939268231392,
-0.08680536597967148,
0.02999982237815857,
-0.02144085057079792,
0.004746898543089628,
-0.03868936747312546,
-0.032645829021930695,
-0.024993548169732094,
-0.08109898120164871,
-0.006681649014353752,
0.025350430980324745,
-0.008023970760405064,
-0.024571746587753296,
0.02660425566136837,
0.005800875835120678,
0.0371583066880703,
-0.009011020883917809,
0.056859321892261505,
0.05017969757318497,
0.00672451127320528,
0.05905638635158539,
0.07222593575716019,
-0.037888359278440475,
0.048172179609537125,
0.02649671956896782,
-0.0676608607172966,
0.0593448206782341,
-0.04626341909170151,
-0.03657275438308716,
0.09393511712551117,
-0.06931131333112717,
-0.006521110888570547,
-0.0028004373889416456,
0.03202373534440994,
-0.07464027404785156,
0.05339052155613899,
-0.07094180583953857,
0.008352414704859257,
-0.10968800634145737,
-0.07903028279542923,
-0.0348639152944088,
-0.036704692989587784,
-0.11023063212633133,
-0.03478347882628441,
-0.03741144388914108,
-0.08084836602210999,
-0.0648404210805893,
0.033858004957437515,
-0.057439014315605164,
-0.010367827489972115,
0.018820928409695625,
-0.0737379714846611,
-0.04538433998823166,
-0.04610016569495201,
0.026370927691459656,
0.041377536952495575,
3.7942140590698794e-34,
-0.006243860814720392,
-0.05512235313653946,
0.03888322785496712,
0.0525348037481308,
0.03753739967942238,
-0.03700427711009979,
-0.013058516196906567,
-0.0228458009660244,
-0.058004092425107956,
0.05559464171528816,
-0.06624503433704376,
0.032429274171590805,
0.08875986933708191,
0.05224617198109627,
0.003978075925260782,
-0.055553145706653595,
0.09446430951356888,
0.0746830552816391,
-0.015652380883693695,
0.016660183668136597,
0.07692533731460571,
0.016605695709586143,
-0.05813669413328171,
-0.01278002094477415,
0.11281225830316544,
0.0682503879070282,
-0.01237889938056469,
-0.06873360276222229,
-0.05962870270013809,
0.05404086038470268,
0.00017740426119416952,
-0.03936440497636795,
-0.060492612421512604,
-0.023224230855703354,
0.046057119965553284,
0.04358064755797386,
0.04037592187523842,
0.05976204201579094,
0.00399040337651968,
0.004714293871074915,
-0.06426922231912613,
0.021440275013446808,
-0.09428571164608002,
0.031191255897283554,
0.026255303993821144,
0.13934622704982758,
-0.0035173059441149235,
0.02888813614845276,
-0.04637030139565468,
-0.025156524032354355,
0.009883081540465355,
0.02617514133453369,
0.00012233642337378114,
0.006045290268957615,
0.00713077187538147,
-0.06341666728258133,
-0.03823944553732872,
0.09053100645542145,
-0.0402725413441658,
-0.009380687959492207,
-0.01724923588335514,
0.03351433202624321,
-0.09788075089454651,
0.07011265307664871,
-0.027457334101200104,
0.02583935856819153,
-0.060763340443372726,
-0.02758650854229927,
0.03397347778081894,
0.029216738417744637,
-0.047120995819568634,
0.0688057467341423,
-0.08944051712751389,
-0.040257930755615234,
0.012045569717884064,
0.1303377002477646,
0.028399260714650154,
0.11949724704027176,
-0.003442874876782298,
0.00772987911477685,
-0.04485810548067093,
0.02681540511548519,
0.048563748598098755,
-0.007034224923700094,
-0.013821471482515335,
0.02939014881849289,
0.007125913165509701,
-0.021206650882959366,
-0.026992419734597206,
-0.027005482465028763,
0.04375090077519417,
-0.01620335318148136,
0.04251878708600998,
0.01977289281785488,
-0.02077454887330532,
-4.059970848402372e-8,
-0.048448510468006134,
0.008073979057371616,
0.04303999990224838,
-0.026252958923578262,
0.05233784765005112,
-0.013432464562356472,
0.06191235035657883,
0.05188416317105293,
-0.023692166432738304,
0.10280267149209976,
0.030657954514026642,
0.014717194251716137,
-0.024535726755857468,
0.002464828547090292,
0.010936141945421696,
-0.011317441239953041,
0.010231186635792255,
-0.03224138543009758,
-0.013051728717982769,
0.06464829295873642,
-0.006445306818932295,
0.005115689244121313,
-0.0031528552062809467,
-0.04166907072067261,
-0.024632366374135017,
-0.01835910975933075,
-0.0436510294675827,
-0.04742683097720146,
-0.02011888474225998,
0.09610719978809357,
0.0570058636367321,
0.0006810604245401919,
0.09708476066589355,
0.039119839668273926,
-0.011542314663529396,
0.014788641594350338,
-0.019837316125631332,
0.08845838904380798,
-0.052973248064517975,
-0.028457598760724068,
-0.05931450054049492,
0.022099746391177177,
-0.020570460706949234,
-0.036835771054029465,
0.00977853313088417,
0.03772774338722229,
0.012976068072021008,
-0.038603559136390686,
0.03463636711239815,
-0.13876332342624664,
-0.01604459062218666,
-0.021254325285553932,
-0.09005605429410934,
-0.04577287659049034,
0.01989668235182762,
0.04271165654063225,
-0.005529740359634161,
-0.0770009458065033,
0.03649752214550972,
-0.019103912636637688,
-0.041506327688694,
-0.030820392072200775,
-0.03297251835465431,
0.009877308271825314
] |
1401.0406 | Milton da Costa Lopes Fo. | Anne Bronzi, Milton Lopes Filho and Helena Nussenzveig Lopes | Wild solutions for 2D incompressible ideal flow with passive tracer | 10 pages | null | 10.4310/CMS.2015.v13.n5.a12 | null | math.AP physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In Ann. Math., 170 (2009), 1417-1436, C. De Lellis and L. Sz\'ekelyhidi Jr.
constructed wild solutions of the incompressible Euler equations using a
reformulation of the Euler equations as a differential inclusion together with
convex integration. In this article we adapt their construction to the system
consisting of adding the transport of a passive scalar to the two-dimensional
incompressible Euler equations.
| [
{
"created": "Thu, 2 Jan 2014 10:18:58 GMT",
"version": "v1"
}
] | 2015-10-01 | [
[
"Bronzi",
"Anne",
""
],
[
"Filho",
"Milton Lopes",
""
],
[
"Lopes",
"Helena Nussenzveig",
""
]
] | [
-0.10358292609453201,
-0.01430731825530529,
0.02775716409087181,
0.011277553625404835,
0.06785368919372559,
-0.013762500137090683,
0.07854530960321426,
0.03593618422746658,
-0.06802760064601898,
-0.007297847419977188,
0.029426055029034615,
0.003879757132381201,
0.06416185200214386,
0.027898449450731277,
-0.052458006888628006,
0.007264669984579086,
-0.07931769639253616,
0.00894847884774208,
-0.032491572201251984,
0.06167091429233551,
-0.08025482296943665,
0.09861001372337341,
-0.06864839792251587,
0.10322819650173187,
-0.00909564457833767,
-0.04867827519774437,
-0.0094305956736207,
-0.004136256407946348,
0.022925838828086853,
0.0010695124510675669,
0.06567610055208206,
-0.13913093507289886,
-0.09412671625614166,
0.04716792330145836,
-0.09911248087882996,
-0.0748223215341568,
-0.01855982095003128,
0.022923776879906654,
-0.08275953680276871,
0.012241821736097336,
0.05014646053314209,
0.056864842772483826,
0.04033362865447998,
-0.017869815230369568,
-0.023539362475275993,
-0.025605786591768265,
-0.08779598772525787,
-0.019153637811541557,
-0.027212224900722504,
-0.04885340481996536,
-0.004711614456027746,
-0.006105345673859119,
0.02289809100329876,
-0.01122693344950676,
0.0008667782531119883,
-0.036091603338718414,
-0.0696338340640068,
-0.033881716430187225,
0.005578621756285429,
-0.02799646183848381,
0.06015273556113243,
0.0558631531894207,
0.06666228175163269,
-0.003967180382460356,
-0.03994254767894745,
-0.0547172836959362,
0.05811244249343872,
0.053809624165296555,
-0.026621798053383827,
0.03749451786279678,
-0.05354008451104164,
-0.06414299458265305,
-0.09873227030038834,
-0.055990781635046005,
0.04984379932284355,
-0.037080999463796616,
0.029789945110678673,
0.08528237044811249,
-0.01659775897860527,
0.03318566083908081,
0.007758753374218941,
-0.07821840047836304,
-0.11897308379411697,
-0.034570951014757156,
-0.07381816953420639,
-0.03456752002239227,
-0.09414774179458618,
-0.08409399539232254,
0.060607586055994034,
-0.09313026815652847,
0.033120546489953995,
-0.09765106439590454,
0.0020493960473686457,
0.037685856223106384,
0.03909870982170105,
-0.03799734637141228,
0.09231266379356384,
0.07180357724428177,
0.04877503588795662,
0.009242041036486626,
-0.06904904544353485,
-0.0066466317512094975,
0.009664999321103096,
0.07222685217857361,
0.03809727728366852,
-0.03406913951039314,
0.043956346809864044,
-0.029432645067572594,
-0.02500840462744236,
0.03498557209968567,
0.00916850846260786,
-0.04696768522262573,
0.06246528401970863,
-0.00820100586861372,
-0.001891133259050548,
-0.05688220635056496,
0.07761461287736893,
0.0078080869279801846,
0.10831783711910248,
-0.03350701555609703,
0.0840771272778511,
0.04115612059831619,
-0.01846769079566002,
0.024234825745224953,
0.06127239018678665,
0.02228737808763981,
-0.0011322039645165205,
4.759906315910649e-34,
-0.051995765417814255,
0.005097962450236082,
0.03363744169473648,
0.10244518518447876,
0.004037977661937475,
-0.01773771457374096,
-0.031346146017313004,
0.03466412425041199,
0.03416260704398155,
-0.05851410701870918,
-0.16130205988883972,
0.07140643149614334,
-0.020200353115797043,
0.1648399978876114,
-0.024724911898374557,
-0.07246271520853043,
0.0565069243311882,
0.016311947256326675,
0.09542037546634674,
-0.027244949713349342,
0.06016021966934204,
-0.054340507835149765,
-0.04212022200226784,
-0.0442444272339344,
0.005336037836968899,
0.026401834562420845,
0.04691966250538826,
-0.027897821739315987,
0.020904770120978355,
0.020049437880516052,
-0.008953477256000042,
-0.07049955427646637,
0.002789297141134739,
0.049342043697834015,
0.026735728606581688,
0.0306684672832489,
0.0009606527164578438,
0.07072892040014267,
0.01502421498298645,
0.010570998303592205,
-0.006750146858394146,
-0.012759536504745483,
-0.03291646018624306,
0.005956526380032301,
-0.0016781879821792245,
0.002238465938717127,
0.05185622349381447,
0.07670306414365768,
-0.014147114008665085,
-0.050275254994630814,
-0.08930923044681549,
0.016498230397701263,
-0.06120562180876732,
-0.08935310691595078,
0.005566928070038557,
-0.0014406185364350677,
-0.004241654183715582,
-0.06494894623756409,
-0.0008693055715411901,
-0.026503734290599823,
-0.07836050540208817,
0.05882776528596878,
-0.015504803508520126,
-0.05280726030468941,
0.055221155285835266,
-0.09214293956756592,
0.03756556287407875,
-0.00006250373553484678,
0.029966918751597404,
-0.07959062606096268,
-0.054970357567071915,
0.02794840931892395,
0.005062898620963097,
0.06699985265731812,
0.006181352771818638,
-0.03760907053947449,
-0.022248899564146996,
-0.032106488943099976,
-0.04903654381632805,
-0.019788604229688644,
-0.0717693567276001,
-0.052543435245752335,
-0.05103430896997452,
0.09645065665245056,
0.06406205147504807,
-0.036030225455760956,
-0.02910069189965725,
0.05224058777093887,
0.0854439064860344,
-0.0639476403594017,
0.01393983419984579,
-0.05235854908823967,
-0.00803183950483799,
-0.031193267554044724,
0.011764531023800373,
-3.8467376721407636e-33,
0.02913636714220047,
-0.02392522245645523,
-0.03874332457780838,
0.028641829267144203,
-0.012318991124629974,
0.055755615234375,
0.011465518735349178,
0.042451161891222,
0.06406114995479584,
-0.0671573355793953,
-0.06438075006008148,
0.036930184811353683,
0.05225750058889389,
-0.007742111571133137,
0.02700558863580227,
0.001364369411021471,
-0.05676720663905144,
0.07708454132080078,
-0.06170609965920448,
-0.009633399546146393,
-0.04298793897032738,
-0.0181000716984272,
0.014363961294293404,
-0.040825530886650085,
0.0052320403046905994,
0.00846127513796091,
-0.033236484974622726,
0.0726410374045372,
-0.06522004306316376,
0.09102597087621689,
-0.0005770240095444024,
-0.11609742045402527,
0.022775880992412567,
-0.015366319566965103,
-0.023628339171409607,
0.037209652364254,
-0.010651309974491596,
0.10183480381965637,
-0.014324169605970383,
-0.020376253873109818,
-0.004412459675222635,
0.004258796107023954,
-0.000415547052398324,
0.08642178028821945,
0.07715127617120743,
0.03199027106165886,
0.03605012595653534,
-0.06605935096740723,
-0.025206126272678375,
0.061363089829683304,
0.008984701707959175,
-0.03773792088031769,
0.027457749471068382,
0.010911024175584316,
0.003191509982571006,
0.014242766425013542,
0.07006702572107315,
0.033063653856515884,
0.013505817390978336,
-0.06068376451730728,
0.018205981701612473,
-0.03411022201180458,
0.058624979108572006,
0.022695353254675865,
-0.03708866983652115,
-0.06658031046390533,
-0.04539448395371437,
-0.038268156349658966,
-0.023444319143891335,
-0.029895765706896782,
0.008922990411520004,
-0.012632784433662891,
-0.012801248580217361,
-0.02559598907828331,
0.08268914371728897,
0.044174324721097946,
0.027077868580818176,
0.031047005206346512,
-0.027198685333132744,
-0.041612155735492706,
-0.0038443023804575205,
-0.051584988832473755,
0.0915345847606659,
-0.041590068489313126,
-0.00613386370241642,
-0.04687270522117615,
-0.002308229450136423,
-0.06892062723636627,
-0.0639258548617363,
-0.06528595834970474,
-0.01531698927283287,
0.03593452647328377,
-0.0049255709163844585,
0.03772003576159477,
0.015580302104353905,
-4.5240415857961125e-8,
0.058251552283763885,
0.009321409277617931,
-0.1364586502313614,
-0.054333820939064026,
-0.04247761890292168,
-0.03774965554475784,
-0.12048602104187012,
-0.008862985298037529,
-0.008439382538199425,
0.04878508299589157,
0.026301803067326546,
0.045777592808008194,
0.026964016258716583,
-0.02086014859378338,
0.006559074390679598,
0.04654150456190109,
-0.021706905215978622,
0.0647425428032875,
-0.03581414371728897,
-0.04097413271665573,
0.030440034344792366,
0.0724860206246376,
0.021059468388557434,
-0.0450192354619503,
0.027568098157644272,
0.045830562710762024,
0.022401820868253708,
-0.055766019970178604,
0.06228475272655487,
0.03123520314693451,
0.025486094877123833,
0.06937649101018906,
-0.0333247035741806,
0.026233825832605362,
0.007535733748227358,
0.007433752994984388,
0.03492817282676697,
0.027288852259516716,
-0.05301617830991745,
-0.02997659705579281,
-0.012113980948925018,
0.014894231222569942,
-0.09121637046337128,
-0.052859820425510406,
0.14576008915901184,
0.09447415173053741,
-0.05326104909181595,
0.019257843494415283,
-0.052111029624938965,
0.01411717664450407,
0.007436745334416628,
0.011187324300408363,
0.10422062873840332,
0.04689260199666023,
0.05897137522697449,
-0.04493870213627815,
-0.02415522374212742,
-0.005656421184539795,
-0.01233647856861353,
-0.05476204305887222,
-0.04455634579062462,
0.09748462587594986,
0.05396543815732002,
0.04631424695253372
] | null | null | null | null | null | null | null | [
-0.10358292609453201,
-0.01430731825530529,
0.02775716409087181,
0.011277553625404835,
0.06785368919372559,
-0.013762500137090683,
0.07854530960321426,
0.03593618422746658,
-0.06802760064601898,
-0.007297847419977188,
0.029426055029034615,
0.003879757132381201,
0.06416185200214386,
0.027898449450731277,
-0.052458006888628006,
0.007264669984579086,
-0.07931769639253616,
0.00894847884774208,
-0.032491572201251984,
0.06167091429233551,
-0.08025482296943665,
0.09861001372337341,
-0.06864839792251587,
0.10322819650173187,
-0.00909564457833767,
-0.04867827519774437,
-0.0094305956736207,
-0.004136256407946348,
0.022925838828086853,
0.0010695124510675669,
0.06567610055208206,
-0.13913093507289886,
-0.09412671625614166,
0.04716792330145836,
-0.09911248087882996,
-0.0748223215341568,
-0.01855982095003128,
0.022923776879906654,
-0.08275953680276871,
0.012241821736097336,
0.05014646053314209,
0.056864842772483826,
0.04033362865447998,
-0.017869815230369568,
-0.023539362475275993,
-0.025605786591768265,
-0.08779598772525787,
-0.019153637811541557,
-0.027212224900722504,
-0.04885340481996536,
-0.004711614456027746,
-0.006105345673859119,
0.02289809100329876,
-0.01122693344950676,
0.0008667782531119883,
-0.036091603338718414,
-0.0696338340640068,
-0.033881716430187225,
0.005578621756285429,
-0.02799646183848381,
0.06015273556113243,
0.0558631531894207,
0.06666228175163269,
-0.003967180382460356,
-0.03994254767894745,
-0.0547172836959362,
0.05811244249343872,
0.053809624165296555,
-0.026621798053383827,
0.03749451786279678,
-0.05354008451104164,
-0.06414299458265305,
-0.09873227030038834,
-0.055990781635046005,
0.04984379932284355,
-0.037080999463796616,
0.029789945110678673,
0.08528237044811249,
-0.01659775897860527,
0.03318566083908081,
0.007758753374218941,
-0.07821840047836304,
-0.11897308379411697,
-0.034570951014757156,
-0.07381816953420639,
-0.03456752002239227,
-0.09414774179458618,
-0.08409399539232254,
0.060607586055994034,
-0.09313026815652847,
0.033120546489953995,
-0.09765106439590454,
0.0020493960473686457,
0.037685856223106384,
0.03909870982170105,
-0.03799734637141228,
0.09231266379356384,
0.07180357724428177,
0.04877503588795662,
0.009242041036486626,
-0.06904904544353485,
-0.0066466317512094975,
0.009664999321103096,
0.07222685217857361,
0.03809727728366852,
-0.03406913951039314,
0.043956346809864044,
-0.029432645067572594,
-0.02500840462744236,
0.03498557209968567,
0.00916850846260786,
-0.04696768522262573,
0.06246528401970863,
-0.00820100586861372,
-0.001891133259050548,
-0.05688220635056496,
0.07761461287736893,
0.0078080869279801846,
0.10831783711910248,
-0.03350701555609703,
0.0840771272778511,
0.04115612059831619,
-0.01846769079566002,
0.024234825745224953,
0.06127239018678665,
0.02228737808763981,
-0.0011322039645165205,
4.759906315910649e-34,
-0.051995765417814255,
0.005097962450236082,
0.03363744169473648,
0.10244518518447876,
0.004037977661937475,
-0.01773771457374096,
-0.031346146017313004,
0.03466412425041199,
0.03416260704398155,
-0.05851410701870918,
-0.16130205988883972,
0.07140643149614334,
-0.020200353115797043,
0.1648399978876114,
-0.024724911898374557,
-0.07246271520853043,
0.0565069243311882,
0.016311947256326675,
0.09542037546634674,
-0.027244949713349342,
0.06016021966934204,
-0.054340507835149765,
-0.04212022200226784,
-0.0442444272339344,
0.005336037836968899,
0.026401834562420845,
0.04691966250538826,
-0.027897821739315987,
0.020904770120978355,
0.020049437880516052,
-0.008953477256000042,
-0.07049955427646637,
0.002789297141134739,
0.049342043697834015,
0.026735728606581688,
0.0306684672832489,
0.0009606527164578438,
0.07072892040014267,
0.01502421498298645,
0.010570998303592205,
-0.006750146858394146,
-0.012759536504745483,
-0.03291646018624306,
0.005956526380032301,
-0.0016781879821792245,
0.002238465938717127,
0.05185622349381447,
0.07670306414365768,
-0.014147114008665085,
-0.050275254994630814,
-0.08930923044681549,
0.016498230397701263,
-0.06120562180876732,
-0.08935310691595078,
0.005566928070038557,
-0.0014406185364350677,
-0.004241654183715582,
-0.06494894623756409,
-0.0008693055715411901,
-0.026503734290599823,
-0.07836050540208817,
0.05882776528596878,
-0.015504803508520126,
-0.05280726030468941,
0.055221155285835266,
-0.09214293956756592,
0.03756556287407875,
-0.00006250373553484678,
0.029966918751597404,
-0.07959062606096268,
-0.054970357567071915,
0.02794840931892395,
0.005062898620963097,
0.06699985265731812,
0.006181352771818638,
-0.03760907053947449,
-0.022248899564146996,
-0.032106488943099976,
-0.04903654381632805,
-0.019788604229688644,
-0.0717693567276001,
-0.052543435245752335,
-0.05103430896997452,
0.09645065665245056,
0.06406205147504807,
-0.036030225455760956,
-0.02910069189965725,
0.05224058777093887,
0.0854439064860344,
-0.0639476403594017,
0.01393983419984579,
-0.05235854908823967,
-0.00803183950483799,
-0.031193267554044724,
0.011764531023800373,
-3.8467376721407636e-33,
0.02913636714220047,
-0.02392522245645523,
-0.03874332457780838,
0.028641829267144203,
-0.012318991124629974,
0.055755615234375,
0.011465518735349178,
0.042451161891222,
0.06406114995479584,
-0.0671573355793953,
-0.06438075006008148,
0.036930184811353683,
0.05225750058889389,
-0.007742111571133137,
0.02700558863580227,
0.001364369411021471,
-0.05676720663905144,
0.07708454132080078,
-0.06170609965920448,
-0.009633399546146393,
-0.04298793897032738,
-0.0181000716984272,
0.014363961294293404,
-0.040825530886650085,
0.0052320403046905994,
0.00846127513796091,
-0.033236484974622726,
0.0726410374045372,
-0.06522004306316376,
0.09102597087621689,
-0.0005770240095444024,
-0.11609742045402527,
0.022775880992412567,
-0.015366319566965103,
-0.023628339171409607,
0.037209652364254,
-0.010651309974491596,
0.10183480381965637,
-0.014324169605970383,
-0.020376253873109818,
-0.004412459675222635,
0.004258796107023954,
-0.000415547052398324,
0.08642178028821945,
0.07715127617120743,
0.03199027106165886,
0.03605012595653534,
-0.06605935096740723,
-0.025206126272678375,
0.061363089829683304,
0.008984701707959175,
-0.03773792088031769,
0.027457749471068382,
0.010911024175584316,
0.003191509982571006,
0.014242766425013542,
0.07006702572107315,
0.033063653856515884,
0.013505817390978336,
-0.06068376451730728,
0.018205981701612473,
-0.03411022201180458,
0.058624979108572006,
0.022695353254675865,
-0.03708866983652115,
-0.06658031046390533,
-0.04539448395371437,
-0.038268156349658966,
-0.023444319143891335,
-0.029895765706896782,
0.008922990411520004,
-0.012632784433662891,
-0.012801248580217361,
-0.02559598907828331,
0.08268914371728897,
0.044174324721097946,
0.027077868580818176,
0.031047005206346512,
-0.027198685333132744,
-0.041612155735492706,
-0.0038443023804575205,
-0.051584988832473755,
0.0915345847606659,
-0.041590068489313126,
-0.00613386370241642,
-0.04687270522117615,
-0.002308229450136423,
-0.06892062723636627,
-0.0639258548617363,
-0.06528595834970474,
-0.01531698927283287,
0.03593452647328377,
-0.0049255709163844585,
0.03772003576159477,
0.015580302104353905,
-4.5240415857961125e-8,
0.058251552283763885,
0.009321409277617931,
-0.1364586502313614,
-0.054333820939064026,
-0.04247761890292168,
-0.03774965554475784,
-0.12048602104187012,
-0.008862985298037529,
-0.008439382538199425,
0.04878508299589157,
0.026301803067326546,
0.045777592808008194,
0.026964016258716583,
-0.02086014859378338,
0.006559074390679598,
0.04654150456190109,
-0.021706905215978622,
0.0647425428032875,
-0.03581414371728897,
-0.04097413271665573,
0.030440034344792366,
0.0724860206246376,
0.021059468388557434,
-0.0450192354619503,
0.027568098157644272,
0.045830562710762024,
0.022401820868253708,
-0.055766019970178604,
0.06228475272655487,
0.03123520314693451,
0.025486094877123833,
0.06937649101018906,
-0.0333247035741806,
0.026233825832605362,
0.007535733748227358,
0.007433752994984388,
0.03492817282676697,
0.027288852259516716,
-0.05301617830991745,
-0.02997659705579281,
-0.012113980948925018,
0.014894231222569942,
-0.09121637046337128,
-0.052859820425510406,
0.14576008915901184,
0.09447415173053741,
-0.05326104909181595,
0.019257843494415283,
-0.052111029624938965,
0.01411717664450407,
0.007436745334416628,
0.011187324300408363,
0.10422062873840332,
0.04689260199666023,
0.05897137522697449,
-0.04493870213627815,
-0.02415522374212742,
-0.005656421184539795,
-0.01233647856861353,
-0.05476204305887222,
-0.04455634579062462,
0.09748462587594986,
0.05396543815732002,
0.04631424695253372
] |
1401.0412 | Fei Tan | Fei Tan, Jiajing Wu, Yongxiang Xia and Chi K. Tse | Traffic congestion in interconnected complex networks | 8 pages | Phys. Rev. E 89, 062813 (2014) | 10.1103/PhysRevE.89.062813 | null | physics.soc-ph cs.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Traffic congestion in isolated complex networks has been investigated
extensively over the last decade. Coupled network models have recently been
developed to facilitate further understanding of real complex systems. Analysis
of traffic congestion in coupled complex networks, however, is still relatively
unexplored. In this paper, we try to explore the effect of interconnections on
traffic congestion in interconnected BA scale-free networks. We find that
assortative coupling can alleviate traffic congestion more readily than
disassortative and random coupling when the node processing capacity is
allocated based on node usage probability. Furthermore, the optimal coupling
probability can be found for assortative coupling. However, three types of
coupling preferences achieve similar traffic performance if all nodes share the
same processing capacity. We analyze interconnected Internet AS-level graphs of
South Korea and Japan and obtain similar results. Some practical suggestions
are presented to optimize such real-world interconnected networks accordingly.
| [
{
"created": "Thu, 2 Jan 2014 11:06:58 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 02:03:14 GMT",
"version": "v2"
}
] | 2014-07-02 | [
[
"Tan",
"Fei",
""
],
[
"Wu",
"Jiajing",
""
],
[
"Xia",
"Yongxiang",
""
],
[
"Tse",
"Chi K.",
""
]
] | [
0.04378269612789154,
-0.08901389688253403,
-0.008829506114125252,
-0.013110434636473656,
-0.04337817057967186,
-0.020657725632190704,
-0.023441161960363388,
0.03487928956747055,
0.01997859962284565,
-0.003362880786880851,
-0.008528117090463638,
-0.021973777562379837,
0.002887131879106164,
-0.020069297403097153,
0.07599303126335144,
-0.010688504204154015,
0.07503282278776169,
-0.06899809092283249,
-0.069752037525177,
-0.004568077158182859,
-0.04715203121304512,
-0.06249476969242096,
-0.04123875871300697,
-0.07609282433986664,
0.04271775484085083,
-0.01841738075017929,
0.029946984723210335,
0.0065015098080039024,
0.025177001953125,
-0.05088036507368088,
-0.015873169526457787,
-0.01575610227882862,
0.027530770748853683,
-0.0759461298584938,
-0.06343384832143784,
-0.08099915832281113,
-0.013393429107964039,
-0.0020824165549129248,
0.027914945036172867,
0.026317205280065536,
0.05703543871641159,
0.05540984869003296,
0.026557255536317825,
0.0776432678103447,
0.007268540561199188,
0.004008703399449587,
-0.12203523516654968,
0.03831290826201439,
0.004053872544318438,
-0.06538763642311096,
-0.02898160181939602,
0.023049693554639816,
-0.05891738459467888,
0.050650354474782944,
0.06407228112220764,
-0.04806466028094292,
0.011771543882787228,
0.04643163084983826,
-0.01301626581698656,
0.038651496171951294,
-0.024143759161233902,
-0.06521779298782349,
-0.03496742248535156,
0.029086891561746597,
0.0013171834871172905,
0.08376806974411011,
0.04456724599003792,
0.0946233868598938,
0.019400818273425102,
0.06679427623748779,
-0.026162464171648026,
0.031792569905519485,
-0.06685972213745117,
0.0331314317882061,
0.06384614109992981,
-0.024176694452762604,
0.02051324024796486,
0.04628446325659752,
-0.07479237765073776,
-0.01074464526027441,
-0.029484663158655167,
0.03229396417737007,
0.027593402191996574,
-0.003636397887021303,
0.03998665139079094,
-0.0728427991271019,
-0.03942767530679703,
-0.05580286309123039,
0.01043135579675436,
-0.03765491768717766,
-0.0563984252512455,
0.12387070804834366,
0.0012803233694285154,
-0.0009139838512055576,
-0.000765983946621418,
0.09752579033374786,
-0.01044889260083437,
-0.03349093347787857,
-0.01761736162006855,
0.0364951528608799,
0.01074422150850296,
-0.01645282283425331,
0.0877528116106987,
-0.056838635355234146,
0.045637164264917374,
0.05768124759197235,
0.007536488119512796,
0.01324837189167738,
0.014140770770609379,
0.02981233410537243,
-0.013845878653228283,
0.005432512611150742,
0.02146299183368683,
-0.000602537824306637,
-0.10669419914484024,
0.03440535068511963,
0.061923712491989136,
-0.05905728414654732,
0.02659311145544052,
0.03783740848302841,
-0.07635577768087387,
-0.0621163584291935,
-0.05313189700245857,
-0.07271592319011688,
-0.017506256699562073,
0.021134551614522934,
-0.013589734211564064,
3.745904868753182e-33,
-0.06548254191875458,
-0.06715413928031921,
-0.03447480499744415,
0.01632818765938282,
0.013714076951146126,
0.028002610430121422,
-0.0923537090420723,
-0.040986068546772,
-0.051799044013023376,
-0.03256920352578163,
-0.07173741608858109,
0.06435159593820572,
-0.015353462658822536,
-0.010179318487644196,
0.0987796038389206,
-0.027199089527130127,
0.03240859508514404,
-0.009170749224722385,
0.061160895973443985,
-0.0805964469909668,
0.07226448506116867,
-0.04227196052670479,
-0.05349301919341087,
0.01645188219845295,
0.011290672235190868,
-0.0474979542195797,
0.03875881806015968,
0.016853949055075645,
0.009490680880844593,
-0.014395518228411674,
0.05619166046380997,
0.07647594809532166,
-0.005351074505597353,
0.01994696818292141,
-0.011762657202780247,
0.04280753433704376,
-0.0344870500266552,
-0.01694934442639351,
-0.04021436721086502,
-0.01802755892276764,
-0.039122261106967926,
-0.006282677408307791,
-0.07625928521156311,
0.05240454897284508,
-0.06858377158641815,
-0.060190483927726746,
0.054924529045820236,
-0.029340432956814766,
0.039550695568323135,
-0.06347538530826569,
-0.01978667452931404,
0.012821867130696774,
0.06403834372758865,
0.061222176998853683,
0.009348120540380478,
0.08753930777311325,
0.05052116513252258,
0.06743256002664566,
-0.007552025839686394,
0.1422063708305359,
-0.04444324970245361,
-0.07050330936908722,
0.014162292703986168,
0.06082713603973389,
0.1257174164056778,
0.07191280275583267,
-0.09930305182933807,
0.02347750775516033,
0.034011807292699814,
-0.033295851200819016,
0.017397744581103325,
0.02878202684223652,
-0.015140305273234844,
-0.036302439868450165,
-0.0777595117688179,
0.022534504532814026,
-0.15099136531352997,
-0.05961337313055992,
-0.009242534637451172,
0.10674887895584106,
-0.054268088191747665,
0.020535942167043686,
-0.019408615306019783,
-0.017255844548344612,
0.06536418944597244,
-0.06615372747182846,
0.04365609586238861,
0.06350390613079071,
-0.023858919739723206,
0.05692894756793976,
-0.01816677488386631,
0.041273366659879684,
0.03406943753361702,
-0.01667735166847706,
0.0768374502658844,
-4.6548639570501774e-33,
-0.018639128655195236,
0.06017828360199928,
0.03901097550988197,
0.08404545485973358,
0.009512613527476788,
-0.017246775329113007,
0.023487553000450134,
-0.05640542507171631,
0.028689101338386536,
0.07572925090789795,
-0.05996732786297798,
0.06602159142494202,
0.042120855301618576,
-0.062292348593473434,
0.07066674530506134,
-0.09534173458814621,
0.001571722561493516,
-0.03275864198803902,
0.002527891658246517,
-0.054608188569545746,
0.03480205684900284,
-0.04964596778154373,
-0.0188266821205616,
-0.08392433077096939,
0.048911914229393005,
-0.0006098525482229888,
-0.04577843099832535,
0.01292179524898529,
-0.02506863884627819,
0.07625070214271545,
-0.09841299802064896,
-0.048445601016283035,
-0.01356337871402502,
-0.038239736109972,
0.03497200831770897,
0.06535408645868301,
-0.0046496158465743065,
0.027608688920736313,
0.013360255397856236,
-0.03845281898975372,
-0.060768142342567444,
-0.05464697629213333,
-0.10151534527540207,
0.007043029181659222,
0.06761748343706131,
0.04787559434771538,
-0.09588691592216492,
0.015198449604213238,
-0.1133202463388443,
-0.054660774767398834,
0.0005860862438566983,
0.10973674803972244,
-0.039645835757255554,
0.002452534157782793,
-0.025330670177936554,
0.04655944183468819,
0.026531832292675972,
0.05114847794175148,
0.01210515946149826,
0.061234667897224426,
0.10124318301677704,
-0.11092738807201385,
-0.05371186137199402,
-0.010726619511842728,
0.01835593208670616,
-0.01312228012830019,
0.1125752329826355,
-0.11822470277547836,
0.025665489956736565,
0.04153541848063469,
-0.009500009939074516,
0.05578850582242012,
-0.007388546597212553,
-0.03906910493969917,
0.031191090121865273,
-0.018567530438303947,
0.06359992921352386,
0.10330494493246078,
0.05936891958117485,
-0.003942260518670082,
-0.05750375986099243,
0.12293993681669235,
-0.017638742923736572,
-0.01598609797656536,
-0.0031030268874019384,
-0.02881566248834133,
0.0031310184858739376,
-0.04516226053237915,
0.014484706334769726,
0.0444069430232048,
0.0014083157293498516,
0.007698191795498133,
-0.006105515174567699,
0.0024089734070003033,
-0.08340806514024734,
-4.5261298708965114e-8,
-0.049114469438791275,
0.01698894612491131,
0.006997611373662949,
0.00998490396887064,
0.05438879877328873,
0.04931280016899109,
0.011145121417939663,
0.028359223157167435,
-0.04544292017817497,
0.14268510043621063,
0.052409976720809937,
0.01951160468161106,
-0.01915316842496395,
0.04048928990960121,
0.041320063173770905,
-0.013931450434029102,
0.013198372907936573,
-0.08994688838720322,
-0.03439522534608841,
-0.022832924500107765,
0.0025177588686347008,
-0.004505184944719076,
-0.05604146793484688,
0.07676085084676743,
0.010299185290932655,
0.012840114533901215,
0.009868228808045387,
0.06383882462978363,
-0.0062372079119086266,
0.003876501228660345,
-0.03925344720482826,
-0.04130842164158821,
-0.04846371337771416,
-0.0061230468563735485,
-0.031174084171652794,
0.07302076369524002,
-0.03264973312616348,
0.015509027056396008,
-0.014400049112737179,
-0.01661028154194355,
0.07784504443407059,
-0.0281470138579607,
0.035611722618341446,
0.07678592205047607,
0.06589654088020325,
0.04857977479696274,
-0.028897223994135857,
0.10851731151342392,
0.0452582873404026,
-0.002134384121745825,
-0.011382260359823704,
-0.0086742602288723,
-0.05228867381811142,
-0.030709169805049896,
-0.02989351563155651,
-0.10463925451040268,
0.04769633710384369,
-0.03773089870810509,
0.02795269712805748,
0.08420824259519577,
0.0075087761506438255,
-0.058309782296419144,
-0.08625520765781403,
-0.06222675368189812
] | null | null | null | null | null | null | null | [
0.04378269612789154,
-0.08901389688253403,
-0.008829506114125252,
-0.013110434636473656,
-0.04337817057967186,
-0.020657725632190704,
-0.023441161960363388,
0.03487928956747055,
0.01997859962284565,
-0.003362880786880851,
-0.008528117090463638,
-0.021973777562379837,
0.002887131879106164,
-0.020069297403097153,
0.07599303126335144,
-0.010688504204154015,
0.07503282278776169,
-0.06899809092283249,
-0.069752037525177,
-0.004568077158182859,
-0.04715203121304512,
-0.06249476969242096,
-0.04123875871300697,
-0.07609282433986664,
0.04271775484085083,
-0.01841738075017929,
0.029946984723210335,
0.0065015098080039024,
0.025177001953125,
-0.05088036507368088,
-0.015873169526457787,
-0.01575610227882862,
0.027530770748853683,
-0.0759461298584938,
-0.06343384832143784,
-0.08099915832281113,
-0.013393429107964039,
-0.0020824165549129248,
0.027914945036172867,
0.026317205280065536,
0.05703543871641159,
0.05540984869003296,
0.026557255536317825,
0.0776432678103447,
0.007268540561199188,
0.004008703399449587,
-0.12203523516654968,
0.03831290826201439,
0.004053872544318438,
-0.06538763642311096,
-0.02898160181939602,
0.023049693554639816,
-0.05891738459467888,
0.050650354474782944,
0.06407228112220764,
-0.04806466028094292,
0.011771543882787228,
0.04643163084983826,
-0.01301626581698656,
0.038651496171951294,
-0.024143759161233902,
-0.06521779298782349,
-0.03496742248535156,
0.029086891561746597,
0.0013171834871172905,
0.08376806974411011,
0.04456724599003792,
0.0946233868598938,
0.019400818273425102,
0.06679427623748779,
-0.026162464171648026,
0.031792569905519485,
-0.06685972213745117,
0.0331314317882061,
0.06384614109992981,
-0.024176694452762604,
0.02051324024796486,
0.04628446325659752,
-0.07479237765073776,
-0.01074464526027441,
-0.029484663158655167,
0.03229396417737007,
0.027593402191996574,
-0.003636397887021303,
0.03998665139079094,
-0.0728427991271019,
-0.03942767530679703,
-0.05580286309123039,
0.01043135579675436,
-0.03765491768717766,
-0.0563984252512455,
0.12387070804834366,
0.0012803233694285154,
-0.0009139838512055576,
-0.000765983946621418,
0.09752579033374786,
-0.01044889260083437,
-0.03349093347787857,
-0.01761736162006855,
0.0364951528608799,
0.01074422150850296,
-0.01645282283425331,
0.0877528116106987,
-0.056838635355234146,
0.045637164264917374,
0.05768124759197235,
0.007536488119512796,
0.01324837189167738,
0.014140770770609379,
0.02981233410537243,
-0.013845878653228283,
0.005432512611150742,
0.02146299183368683,
-0.000602537824306637,
-0.10669419914484024,
0.03440535068511963,
0.061923712491989136,
-0.05905728414654732,
0.02659311145544052,
0.03783740848302841,
-0.07635577768087387,
-0.0621163584291935,
-0.05313189700245857,
-0.07271592319011688,
-0.017506256699562073,
0.021134551614522934,
-0.013589734211564064,
3.745904868753182e-33,
-0.06548254191875458,
-0.06715413928031921,
-0.03447480499744415,
0.01632818765938282,
0.013714076951146126,
0.028002610430121422,
-0.0923537090420723,
-0.040986068546772,
-0.051799044013023376,
-0.03256920352578163,
-0.07173741608858109,
0.06435159593820572,
-0.015353462658822536,
-0.010179318487644196,
0.0987796038389206,
-0.027199089527130127,
0.03240859508514404,
-0.009170749224722385,
0.061160895973443985,
-0.0805964469909668,
0.07226448506116867,
-0.04227196052670479,
-0.05349301919341087,
0.01645188219845295,
0.011290672235190868,
-0.0474979542195797,
0.03875881806015968,
0.016853949055075645,
0.009490680880844593,
-0.014395518228411674,
0.05619166046380997,
0.07647594809532166,
-0.005351074505597353,
0.01994696818292141,
-0.011762657202780247,
0.04280753433704376,
-0.0344870500266552,
-0.01694934442639351,
-0.04021436721086502,
-0.01802755892276764,
-0.039122261106967926,
-0.006282677408307791,
-0.07625928521156311,
0.05240454897284508,
-0.06858377158641815,
-0.060190483927726746,
0.054924529045820236,
-0.029340432956814766,
0.039550695568323135,
-0.06347538530826569,
-0.01978667452931404,
0.012821867130696774,
0.06403834372758865,
0.061222176998853683,
0.009348120540380478,
0.08753930777311325,
0.05052116513252258,
0.06743256002664566,
-0.007552025839686394,
0.1422063708305359,
-0.04444324970245361,
-0.07050330936908722,
0.014162292703986168,
0.06082713603973389,
0.1257174164056778,
0.07191280275583267,
-0.09930305182933807,
0.02347750775516033,
0.034011807292699814,
-0.033295851200819016,
0.017397744581103325,
0.02878202684223652,
-0.015140305273234844,
-0.036302439868450165,
-0.0777595117688179,
0.022534504532814026,
-0.15099136531352997,
-0.05961337313055992,
-0.009242534637451172,
0.10674887895584106,
-0.054268088191747665,
0.020535942167043686,
-0.019408615306019783,
-0.017255844548344612,
0.06536418944597244,
-0.06615372747182846,
0.04365609586238861,
0.06350390613079071,
-0.023858919739723206,
0.05692894756793976,
-0.01816677488386631,
0.041273366659879684,
0.03406943753361702,
-0.01667735166847706,
0.0768374502658844,
-4.6548639570501774e-33,
-0.018639128655195236,
0.06017828360199928,
0.03901097550988197,
0.08404545485973358,
0.009512613527476788,
-0.017246775329113007,
0.023487553000450134,
-0.05640542507171631,
0.028689101338386536,
0.07572925090789795,
-0.05996732786297798,
0.06602159142494202,
0.042120855301618576,
-0.062292348593473434,
0.07066674530506134,
-0.09534173458814621,
0.001571722561493516,
-0.03275864198803902,
0.002527891658246517,
-0.054608188569545746,
0.03480205684900284,
-0.04964596778154373,
-0.0188266821205616,
-0.08392433077096939,
0.048911914229393005,
-0.0006098525482229888,
-0.04577843099832535,
0.01292179524898529,
-0.02506863884627819,
0.07625070214271545,
-0.09841299802064896,
-0.048445601016283035,
-0.01356337871402502,
-0.038239736109972,
0.03497200831770897,
0.06535408645868301,
-0.0046496158465743065,
0.027608688920736313,
0.013360255397856236,
-0.03845281898975372,
-0.060768142342567444,
-0.05464697629213333,
-0.10151534527540207,
0.007043029181659222,
0.06761748343706131,
0.04787559434771538,
-0.09588691592216492,
0.015198449604213238,
-0.1133202463388443,
-0.054660774767398834,
0.0005860862438566983,
0.10973674803972244,
-0.039645835757255554,
0.002452534157782793,
-0.025330670177936554,
0.04655944183468819,
0.026531832292675972,
0.05114847794175148,
0.01210515946149826,
0.061234667897224426,
0.10124318301677704,
-0.11092738807201385,
-0.05371186137199402,
-0.010726619511842728,
0.01835593208670616,
-0.01312228012830019,
0.1125752329826355,
-0.11822470277547836,
0.025665489956736565,
0.04153541848063469,
-0.009500009939074516,
0.05578850582242012,
-0.007388546597212553,
-0.03906910493969917,
0.031191090121865273,
-0.018567530438303947,
0.06359992921352386,
0.10330494493246078,
0.05936891958117485,
-0.003942260518670082,
-0.05750375986099243,
0.12293993681669235,
-0.017638742923736572,
-0.01598609797656536,
-0.0031030268874019384,
-0.02881566248834133,
0.0031310184858739376,
-0.04516226053237915,
0.014484706334769726,
0.0444069430232048,
0.0014083157293498516,
0.007698191795498133,
-0.006105515174567699,
0.0024089734070003033,
-0.08340806514024734,
-4.5261298708965114e-8,
-0.049114469438791275,
0.01698894612491131,
0.006997611373662949,
0.00998490396887064,
0.05438879877328873,
0.04931280016899109,
0.011145121417939663,
0.028359223157167435,
-0.04544292017817497,
0.14268510043621063,
0.052409976720809937,
0.01951160468161106,
-0.01915316842496395,
0.04048928990960121,
0.041320063173770905,
-0.013931450434029102,
0.013198372907936573,
-0.08994688838720322,
-0.03439522534608841,
-0.022832924500107765,
0.0025177588686347008,
-0.004505184944719076,
-0.05604146793484688,
0.07676085084676743,
0.010299185290932655,
0.012840114533901215,
0.009868228808045387,
0.06383882462978363,
-0.0062372079119086266,
0.003876501228660345,
-0.03925344720482826,
-0.04130842164158821,
-0.04846371337771416,
-0.0061230468563735485,
-0.031174084171652794,
0.07302076369524002,
-0.03264973312616348,
0.015509027056396008,
-0.014400049112737179,
-0.01661028154194355,
0.07784504443407059,
-0.0281470138579607,
0.035611722618341446,
0.07678592205047607,
0.06589654088020325,
0.04857977479696274,
-0.028897223994135857,
0.10851731151342392,
0.0452582873404026,
-0.002134384121745825,
-0.011382260359823704,
-0.0086742602288723,
-0.05228867381811142,
-0.030709169805049896,
-0.02989351563155651,
-0.10463925451040268,
0.04769633710384369,
-0.03773089870810509,
0.02795269712805748,
0.08420824259519577,
0.0075087761506438255,
-0.058309782296419144,
-0.08625520765781403,
-0.06222675368189812
] |
1401.0417 | Christos Boutsidis | Christos Boutsidis, Malik Magdon-Ismail | Faster SVD-Truncated Least-Squares Regression | 2014 IEEE International Symposium on Information Theory | null | null | null | cs.DS math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a fast algorithm for computing the "SVD-truncated" regularized
solution to the least-squares problem: $ \min_{\x} \TNorm{\matA \x - \b}. $ Let
$\matA_k$ of rank $k$ be the best rank $k$ matrix computed via the SVD of
$\matA$. Then, the SVD-truncated regularized solution is: $ \x_k =
\pinv{\matA}_k \b. $ If $\matA$ is $m \times n$, then, it takes $O(m n
\min\{m,n\})$ time to compute $\x_k $ using the SVD of \math{\matA}. We give an
approximation algorithm for \math{\x_k} which constructs a rank-\math{k}
approximation $\tilde{\matA}_{k}$ and computes $ \tilde{\x}_{k} =
\pinv{\tilde\matA}_{k} \b$ in roughly $O(\nnz(\matA) k \log n)$ time. Our
algorithm uses a randomized variant of the subspace iteration. We show that,
with high probability: $ \TNorm{\matA \tilde{\x}_{k} - \b} \approx \TNorm{\matA
\x_k - \b}$ and $\TNorm{\x_k - \tilde\x_k} \approx 0. $
| [
{
"created": "Thu, 2 Jan 2014 11:19:11 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2014 19:44:50 GMT",
"version": "v2"
}
] | 2014-05-29 | [
[
"Boutsidis",
"Christos",
""
],
[
"Magdon-Ismail",
"Malik",
""
]
] | [
-0.031103791669011116,
0.005450728815048933,
0.04334839805960655,
-0.02628367953002453,
0.06600538641214371,
-0.028333038091659546,
0.0029697492718696594,
-0.025311045348644257,
0.046357735991477966,
0.03141036257147789,
0.011508669704198837,
0.11297597736120224,
-0.011820989660918713,
0.005968206562101841,
-0.031184090301394463,
0.013825337402522564,
0.034542690962553024,
0.08806193619966507,
-0.06510761380195618,
0.04061947390437126,
-0.04622655734419823,
0.009100031107664108,
-0.013939065858721733,
-0.00779979070648551,
0.08843769878149033,
-0.05758995935320854,
0.05306873843073845,
-0.015741068869829178,
0.028802385553717613,
0.03557845577597618,
-0.011030251160264015,
0.05100316181778908,
0.06848035007715225,
-0.03541954234242439,
-0.05805344134569168,
0.05648037791252136,
0.0781126618385315,
0.05849360302090645,
-0.058960337191820145,
0.03156533092260361,
0.01962951011955738,
0.07942608743906021,
-0.006232170853763819,
-0.014651516452431679,
0.05763543024659157,
0.01053549349308014,
0.026272375136613846,
-0.10128269344568253,
-0.05191214382648468,
-0.016532395035028458,
-0.05032115802168846,
0.022551821544766426,
-0.04079102352261543,
0.05272061005234718,
-0.06930343806743622,
-0.13666293025016785,
0.014619310386478901,
-0.02187235839664936,
0.03500034660100937,
0.057346876710653305,
0.014328260906040668,
-0.07285752892494202,
0.0020402492955327034,
-0.07450211048126221,
0.05887284874916077,
-0.03983880206942558,
0.060552071779966354,
-0.028650855645537376,
-0.052758004516363144,
0.0693269595503807,
-0.03215131163597107,
0.05106371268630028,
-0.0695318952202797,
0.07673286646604538,
-0.03455885127186775,
-0.03791072219610214,
0.05097484588623047,
-0.04831324517726898,
0.023584185168147087,
-0.04658294469118118,
0.017325256019830704,
0.021436287090182304,
-0.03760166093707085,
-0.0716075748205185,
0.044578079134225845,
-0.007087307050824165,
-0.00035624916199594736,
0.03526751697063446,
0.06734123080968857,
-0.025346510112285614,
0.012001313269138336,
-0.0008892305195331573,
-0.03872670233249664,
-0.03772309049963951,
-0.000491079525090754,
-0.07597371190786362,
0.05576541647315025,
0.0681934580206871,
0.054065849632024765,
0.03987286612391472,
-0.004843312315642834,
0.05062700808048248,
-0.03261442482471466,
-0.03413272649049759,
0.058335963636636734,
-0.006296276114881039,
0.040145762264728546,
0.09983720630407333,
0.04480178654193878,
-0.07471327483654022,
0.05753057822585106,
-0.027949750423431396,
-0.028421597555279732,
0.09044622629880905,
0.006527405232191086,
-0.03589153662323952,
0.0927039161324501,
-0.05262945592403412,
0.07184627652168274,
0.0448857881128788,
-0.01870179921388626,
-0.034911539405584335,
0.08811391144990921,
0.012626313604414463,
0.01923590712249279,
0.13029047846794128,
-0.031186625361442566,
5.667767235344588e-34,
-0.008798020891845226,
0.10391514003276825,
-0.031683299690485,
-0.05342927947640419,
-0.05629875138401985,
0.036189060658216476,
0.033654868602752686,
-0.08979234844446182,
-0.024776285514235497,
0.02439919300377369,
-0.046706076711416245,
-0.012554132379591465,
0.028584782034158707,
0.025613872334361076,
0.02681868150830269,
-0.023067349568009377,
0.023235145956277847,
0.035193730145692825,
-0.07887718081474304,
-0.07955212891101837,
0.14640922844409943,
-0.028767511248588562,
0.0217562485486269,
-0.06752840429544449,
-0.00047499340143986046,
-0.08549575507640839,
0.010387963615357876,
-0.06833133101463318,
0.0057203518226742744,
0.0013821701286360621,
0.007441215217113495,
0.048869404941797256,
-0.004034582991153002,
0.04523614048957825,
0.02375159040093422,
-0.03413635492324829,
0.09202643483877182,
-0.051806773990392685,
0.007269977126270533,
-0.05141957476735115,
-0.0307668037712574,
0.0008307260577566922,
-0.04399335756897926,
-0.022438785061240196,
-0.052755746990442276,
-0.0525435246527195,
-0.025249186903238297,
0.06090506538748741,
0.023184560239315033,
-0.09269862622022629,
0.01916090026497841,
0.024785980582237244,
-0.08619482070207596,
-0.0038715305272489786,
0.024527650326490402,
-0.0606180764734745,
0.03845112770795822,
-0.09774859994649887,
0.05238041281700134,
0.05388059467077255,
0.008805090561509132,
-0.024467142298817635,
-0.031236780807375908,
0.02659274823963642,
-0.026043053716421127,
-0.008840988390147686,
0.13382014632225037,
-0.058101072907447815,
0.023365259170532227,
-0.005175172351300716,
0.016716239973902702,
-0.033711157739162445,
0.040696967393159866,
-0.0899752825498581,
0.04966725409030914,
-0.06879978626966476,
0.09638872742652893,
-0.02495184913277626,
0.013840324245393276,
-0.03208974003791809,
0.000616954464931041,
0.045128386467695236,
0.0028599645011126995,
-0.11463622003793716,
-0.023654088377952576,
-0.062448885291814804,
0.0005868813605047762,
-0.10366512089967728,
-0.08867478370666504,
-0.08032146841287613,
-0.028653986752033234,
-0.006551000289618969,
-0.008756334893405437,
-0.0011134191881865263,
-0.012565468437969685,
1.0007955946454447e-33,
0.002590028103441,
-0.04635708034038544,
0.07731516659259796,
0.04313718155026436,
-0.005952657200396061,
-0.1001170352101326,
-0.06105189397931099,
0.011582720093429089,
-0.06579120457172394,
-0.09499044716358185,
0.0192447267472744,
-0.11829058825969696,
-0.003960879053920507,
0.10176374763250351,
0.066280797123909,
0.0598582960665226,
0.040091320872306824,
0.043305084109306335,
0.008990096859633923,
0.02014203555881977,
0.0004925912944599986,
0.013831857591867447,
0.01753411255776882,
0.06361357867717743,
0.03426549956202507,
0.005974689032882452,
0.02155368961393833,
0.07313961535692215,
-0.02193245105445385,
-0.10533446073532104,
-0.028866499662399292,
-0.04773939400911331,
-0.08404017239809036,
-0.03672270476818085,
-0.04157595708966255,
0.06986962258815765,
-0.07307519018650055,
-0.007412984501570463,
-0.00942271389067173,
0.06460116803646088,
-0.009040206670761108,
-0.030512381345033646,
-0.08768674731254578,
-0.003457514801993966,
-0.001612484105862677,
0.003033851506188512,
-0.06200889125466347,
-0.0087042897939682,
0.036223966628313065,
-0.005042513366788626,
0.08490432798862457,
0.021129097789525986,
0.07153712213039398,
0.16348658502101898,
0.036165203899145126,
0.032881610095500946,
-0.10812881588935852,
0.06886038184165955,
-0.02321389690041542,
-0.03203260898590088,
-0.0013009660178795457,
-0.07112696021795273,
0.030434157699346542,
0.049927499145269394,
0.05547097325325012,
0.015633681789040565,
0.02538142167031765,
-0.003162496956065297,
-0.022234750911593437,
0.05187632516026497,
-0.0461980365216732,
0.0006395837990567088,
0.019110659137368202,
0.06850124150514603,
-0.08668379485607147,
0.000029418744816211984,
0.04984171316027641,
0.0007963660755194724,
-0.02926945686340332,
-0.004916902165859938,
0.006835172418504953,
0.032590948045253754,
0.02445240505039692,
-0.021870579570531845,
-0.0003046856727451086,
0.03926235809922218,
0.0699632465839386,
0.012028592638671398,
0.029820641502738,
-0.03287205845117569,
0.038618821650743484,
-0.06021909788250923,
0.08276893943548203,
-0.018780488520860672,
0.0172897856682539,
-4.9448704686483325e-8,
-0.08390215784311295,
-0.06319858878850937,
-0.06816340982913971,
-0.06183319911360741,
0.1017056405544281,
0.02281581051647663,
-0.028989477083086967,
0.012883820571005344,
0.00512775918468833,
-0.03362329304218292,
0.029949238523840904,
-0.021075600758194923,
-0.02782873623073101,
0.00414310721680522,
-0.05418677255511284,
0.013700314797461033,
-0.02899964712560177,
0.011117433197796345,
0.02595868520438671,
0.022578900679945946,
-0.03965902701020241,
0.11354582011699677,
0.0543576143682003,
-0.008540197275578976,
-0.06718908250331879,
-0.009403861127793789,
0.0207012090831995,
0.03127540275454521,
0.1078086718916893,
0.038701072335243225,
-0.11006022244691849,
0.006397591903805733,
0.029875844717025757,
0.023223696276545525,
0.04851626977324486,
0.09546605497598648,
0.022444529458880424,
-0.028002562001347542,
-0.06809332221746445,
-0.01216905377805233,
0.017520107328891754,
-0.002802967093884945,
0.0030771426390856504,
-0.02245216816663742,
0.11528848856687546,
-0.004367430228739977,
-0.09144870191812515,
-0.024147415533661842,
-0.02140587382018566,
0.014352415688335896,
0.057186711579561234,
0.00015186882228590548,
0.037854477763175964,
0.03728652745485306,
0.03164021298289299,
-0.019765879958868027,
-0.07536323368549347,
-0.059155531227588654,
0.0470091849565506,
0.019957557320594788,
0.026850227266550064,
-0.034616634249687195,
-0.011738096363842487,
0.053555771708488464
] | null | null | null | null | null | null | null | [
-0.031103791669011116,
0.005450728815048933,
0.04334839805960655,
-0.02628367953002453,
0.06600538641214371,
-0.028333038091659546,
0.0029697492718696594,
-0.025311045348644257,
0.046357735991477966,
0.03141036257147789,
0.011508669704198837,
0.11297597736120224,
-0.011820989660918713,
0.005968206562101841,
-0.031184090301394463,
0.013825337402522564,
0.034542690962553024,
0.08806193619966507,
-0.06510761380195618,
0.04061947390437126,
-0.04622655734419823,
0.009100031107664108,
-0.013939065858721733,
-0.00779979070648551,
0.08843769878149033,
-0.05758995935320854,
0.05306873843073845,
-0.015741068869829178,
0.028802385553717613,
0.03557845577597618,
-0.011030251160264015,
0.05100316181778908,
0.06848035007715225,
-0.03541954234242439,
-0.05805344134569168,
0.05648037791252136,
0.0781126618385315,
0.05849360302090645,
-0.058960337191820145,
0.03156533092260361,
0.01962951011955738,
0.07942608743906021,
-0.006232170853763819,
-0.014651516452431679,
0.05763543024659157,
0.01053549349308014,
0.026272375136613846,
-0.10128269344568253,
-0.05191214382648468,
-0.016532395035028458,
-0.05032115802168846,
0.022551821544766426,
-0.04079102352261543,
0.05272061005234718,
-0.06930343806743622,
-0.13666293025016785,
0.014619310386478901,
-0.02187235839664936,
0.03500034660100937,
0.057346876710653305,
0.014328260906040668,
-0.07285752892494202,
0.0020402492955327034,
-0.07450211048126221,
0.05887284874916077,
-0.03983880206942558,
0.060552071779966354,
-0.028650855645537376,
-0.052758004516363144,
0.0693269595503807,
-0.03215131163597107,
0.05106371268630028,
-0.0695318952202797,
0.07673286646604538,
-0.03455885127186775,
-0.03791072219610214,
0.05097484588623047,
-0.04831324517726898,
0.023584185168147087,
-0.04658294469118118,
0.017325256019830704,
0.021436287090182304,
-0.03760166093707085,
-0.0716075748205185,
0.044578079134225845,
-0.007087307050824165,
-0.00035624916199594736,
0.03526751697063446,
0.06734123080968857,
-0.025346510112285614,
0.012001313269138336,
-0.0008892305195331573,
-0.03872670233249664,
-0.03772309049963951,
-0.000491079525090754,
-0.07597371190786362,
0.05576541647315025,
0.0681934580206871,
0.054065849632024765,
0.03987286612391472,
-0.004843312315642834,
0.05062700808048248,
-0.03261442482471466,
-0.03413272649049759,
0.058335963636636734,
-0.006296276114881039,
0.040145762264728546,
0.09983720630407333,
0.04480178654193878,
-0.07471327483654022,
0.05753057822585106,
-0.027949750423431396,
-0.028421597555279732,
0.09044622629880905,
0.006527405232191086,
-0.03589153662323952,
0.0927039161324501,
-0.05262945592403412,
0.07184627652168274,
0.0448857881128788,
-0.01870179921388626,
-0.034911539405584335,
0.08811391144990921,
0.012626313604414463,
0.01923590712249279,
0.13029047846794128,
-0.031186625361442566,
5.667767235344588e-34,
-0.008798020891845226,
0.10391514003276825,
-0.031683299690485,
-0.05342927947640419,
-0.05629875138401985,
0.036189060658216476,
0.033654868602752686,
-0.08979234844446182,
-0.024776285514235497,
0.02439919300377369,
-0.046706076711416245,
-0.012554132379591465,
0.028584782034158707,
0.025613872334361076,
0.02681868150830269,
-0.023067349568009377,
0.023235145956277847,
0.035193730145692825,
-0.07887718081474304,
-0.07955212891101837,
0.14640922844409943,
-0.028767511248588562,
0.0217562485486269,
-0.06752840429544449,
-0.00047499340143986046,
-0.08549575507640839,
0.010387963615357876,
-0.06833133101463318,
0.0057203518226742744,
0.0013821701286360621,
0.007441215217113495,
0.048869404941797256,
-0.004034582991153002,
0.04523614048957825,
0.02375159040093422,
-0.03413635492324829,
0.09202643483877182,
-0.051806773990392685,
0.007269977126270533,
-0.05141957476735115,
-0.0307668037712574,
0.0008307260577566922,
-0.04399335756897926,
-0.022438785061240196,
-0.052755746990442276,
-0.0525435246527195,
-0.025249186903238297,
0.06090506538748741,
0.023184560239315033,
-0.09269862622022629,
0.01916090026497841,
0.024785980582237244,
-0.08619482070207596,
-0.0038715305272489786,
0.024527650326490402,
-0.0606180764734745,
0.03845112770795822,
-0.09774859994649887,
0.05238041281700134,
0.05388059467077255,
0.008805090561509132,
-0.024467142298817635,
-0.031236780807375908,
0.02659274823963642,
-0.026043053716421127,
-0.008840988390147686,
0.13382014632225037,
-0.058101072907447815,
0.023365259170532227,
-0.005175172351300716,
0.016716239973902702,
-0.033711157739162445,
0.040696967393159866,
-0.0899752825498581,
0.04966725409030914,
-0.06879978626966476,
0.09638872742652893,
-0.02495184913277626,
0.013840324245393276,
-0.03208974003791809,
0.000616954464931041,
0.045128386467695236,
0.0028599645011126995,
-0.11463622003793716,
-0.023654088377952576,
-0.062448885291814804,
0.0005868813605047762,
-0.10366512089967728,
-0.08867478370666504,
-0.08032146841287613,
-0.028653986752033234,
-0.006551000289618969,
-0.008756334893405437,
-0.0011134191881865263,
-0.012565468437969685,
1.0007955946454447e-33,
0.002590028103441,
-0.04635708034038544,
0.07731516659259796,
0.04313718155026436,
-0.005952657200396061,
-0.1001170352101326,
-0.06105189397931099,
0.011582720093429089,
-0.06579120457172394,
-0.09499044716358185,
0.0192447267472744,
-0.11829058825969696,
-0.003960879053920507,
0.10176374763250351,
0.066280797123909,
0.0598582960665226,
0.040091320872306824,
0.043305084109306335,
0.008990096859633923,
0.02014203555881977,
0.0004925912944599986,
0.013831857591867447,
0.01753411255776882,
0.06361357867717743,
0.03426549956202507,
0.005974689032882452,
0.02155368961393833,
0.07313961535692215,
-0.02193245105445385,
-0.10533446073532104,
-0.028866499662399292,
-0.04773939400911331,
-0.08404017239809036,
-0.03672270476818085,
-0.04157595708966255,
0.06986962258815765,
-0.07307519018650055,
-0.007412984501570463,
-0.00942271389067173,
0.06460116803646088,
-0.009040206670761108,
-0.030512381345033646,
-0.08768674731254578,
-0.003457514801993966,
-0.001612484105862677,
0.003033851506188512,
-0.06200889125466347,
-0.0087042897939682,
0.036223966628313065,
-0.005042513366788626,
0.08490432798862457,
0.021129097789525986,
0.07153712213039398,
0.16348658502101898,
0.036165203899145126,
0.032881610095500946,
-0.10812881588935852,
0.06886038184165955,
-0.02321389690041542,
-0.03203260898590088,
-0.0013009660178795457,
-0.07112696021795273,
0.030434157699346542,
0.049927499145269394,
0.05547097325325012,
0.015633681789040565,
0.02538142167031765,
-0.003162496956065297,
-0.022234750911593437,
0.05187632516026497,
-0.0461980365216732,
0.0006395837990567088,
0.019110659137368202,
0.06850124150514603,
-0.08668379485607147,
0.000029418744816211984,
0.04984171316027641,
0.0007963660755194724,
-0.02926945686340332,
-0.004916902165859938,
0.006835172418504953,
0.032590948045253754,
0.02445240505039692,
-0.021870579570531845,
-0.0003046856727451086,
0.03926235809922218,
0.0699632465839386,
0.012028592638671398,
0.029820641502738,
-0.03287205845117569,
0.038618821650743484,
-0.06021909788250923,
0.08276893943548203,
-0.018780488520860672,
0.0172897856682539,
-4.9448704686483325e-8,
-0.08390215784311295,
-0.06319858878850937,
-0.06816340982913971,
-0.06183319911360741,
0.1017056405544281,
0.02281581051647663,
-0.028989477083086967,
0.012883820571005344,
0.00512775918468833,
-0.03362329304218292,
0.029949238523840904,
-0.021075600758194923,
-0.02782873623073101,
0.00414310721680522,
-0.05418677255511284,
0.013700314797461033,
-0.02899964712560177,
0.011117433197796345,
0.02595868520438671,
0.022578900679945946,
-0.03965902701020241,
0.11354582011699677,
0.0543576143682003,
-0.008540197275578976,
-0.06718908250331879,
-0.009403861127793789,
0.0207012090831995,
0.03127540275454521,
0.1078086718916893,
0.038701072335243225,
-0.11006022244691849,
0.006397591903805733,
0.029875844717025757,
0.023223696276545525,
0.04851626977324486,
0.09546605497598648,
0.022444529458880424,
-0.028002562001347542,
-0.06809332221746445,
-0.01216905377805233,
0.017520107328891754,
-0.002802967093884945,
0.0030771426390856504,
-0.02245216816663742,
0.11528848856687546,
-0.004367430228739977,
-0.09144870191812515,
-0.024147415533661842,
-0.02140587382018566,
0.014352415688335896,
0.057186711579561234,
0.00015186882228590548,
0.037854477763175964,
0.03728652745485306,
0.03164021298289299,
-0.019765879958868027,
-0.07536323368549347,
-0.059155531227588654,
0.0470091849565506,
0.019957557320594788,
0.026850227266550064,
-0.034616634249687195,
-0.011738096363842487,
0.053555771708488464
] |
1401.0423 | Jungwon Kim | Hyoji Kim, Peng Qin, Youjian Song, Heewon Yang, Junho Shin, Chur Kim,
Kwangyun Jung, Chingyue Wang, and Jungwon Kim | Sub-20-Attosecond Timing Jitter Mode-Locked Fiber Lasers | 7 pages, 8 figures, 1 table | IEEE J. Sel. Top. Quantum Electron. 20, 901108 (2014) | 10.1109/JSTQE.2014.2298454 | null | physics.optics physics.ins-det | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate 14.3-attosecond timing jitter [integrated from 10 kHz to 94
MHz offset frequency] optical pulse trains from 188-MHz repetition-rate
mode-locked Yb-fiber lasers. In order to minimize the timing jitter, we shorten
the non-gain fiber length to shorten the pulsewidth and reduce excessive
higher-order nonlinearity and nonlinear chirp in the fiber laser. The measured
jitter spectrum is limited by the amplified spontaneous emission limited
quantum noise in the 100 kHz - 1 MHz offset frequency range, while it was
limited by the relative intensity noise-converted jitter in the lower offset
frequency range. This intrinsically low timing jitter enables
sub-100-attosecond synchronization between the two mode-locked Yb-fiber lasers
over the full Nyquist frequency with a modest 10-kHz locking bandwidth. The
demonstrated performance is the lowest timing jitter measured from any
free-running mode-locked fiber lasers, comparable to the performance of the
lowest-jitter Ti:sapphire solid-state lasers.
| [
{
"created": "Thu, 2 Jan 2014 11:56:41 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jan 2014 11:37:16 GMT",
"version": "v2"
}
] | 2014-03-25 | [
[
"Kim",
"Hyoji",
""
],
[
"Qin",
"Peng",
""
],
[
"Song",
"Youjian",
""
],
[
"Yang",
"Heewon",
""
],
[
"Shin",
"Junho",
""
],
[
"Kim",
"Chur",
""
],
[
"Jung",
"Kwangyun",
""
],
[
"Wang",
"Chingyue",
""
],
[
"Kim",
"Jungwon",
""
]
] | [
0.002905092900618911,
-0.05663910508155823,
-0.005943198688328266,
0.021154092624783516,
-0.05072043091058731,
0.021533498540520668,
0.038523439317941666,
-0.05739226192235947,
-0.0017906668363139033,
-0.04830295965075493,
0.04256325960159302,
0.08323557674884796,
-0.11913225799798965,
-0.04069145396351814,
0.0658002570271492,
0.06904958933591843,
0.056398820132017136,
-0.0015731081366539001,
0.04055708646774292,
0.06237291172146797,
0.03824443370103836,
-0.06781576573848724,
0.07208352535963058,
0.05632799118757248,
0.014358173124492168,
-0.05282038077712059,
-0.07834964245557785,
-0.002690320136025548,
0.02629268541932106,
0.01157429814338684,
0.05729985982179642,
-0.05599825829267502,
0.005739159882068634,
0.08687222748994827,
0.015769608318805695,
-0.03989684581756592,
0.10869646072387695,
-0.023312803357839584,
0.04563022032380104,
-0.015089014545083046,
0.03885582834482193,
-0.04522675648331642,
0.025029070675373077,
0.11386290937662125,
0.012113460339605808,
-0.045597419142723083,
-0.02498861961066723,
-0.023367464542388916,
-0.09300746023654938,
-0.02250051125884056,
-0.03216518089175224,
0.017064062878489494,
-0.03207695856690407,
-0.01113009825348854,
0.030511027202010155,
0.08564695715904236,
0.08027394115924835,
0.07256867736577988,
-0.03472193703055382,
0.020925387740135193,
-0.039658937603235245,
0.015002338215708733,
0.005546566564589739,
-0.04985121637582779,
0.009045095182955265,
-0.025524398311972618,
-0.018410958349704742,
0.030869878828525543,
-0.04528658464550972,
-0.01358418446034193,
0.048305973410606384,
-0.04132669046521187,
-0.016175612807273865,
0.08356356620788574,
-0.029761629179120064,
-0.01838957890868187,
-0.04177815839648247,
0.10991480946540833,
-0.03366663679480553,
0.0279663298279047,
0.020792203024029732,
-0.08148153871297836,
0.05493253469467163,
0.04254452511668205,
-0.035785287618637085,
-0.06523269414901733,
0.08990231156349182,
0.10745459794998169,
-0.09028805792331696,
-0.06635540723800659,
-0.0785345733165741,
0.020382683724164963,
0.05435963347554207,
0.0020762565545737743,
0.09989675134420395,
-0.03337515518069267,
0.09484727680683136,
0.010135732591152191,
0.023839816451072693,
-0.024760590866208076,
0.09898404031991959,
-0.03451330587267876,
-0.04925284907221794,
0.06176268681883812,
-0.07146001607179642,
0.018733227625489235,
0.0041930172592401505,
0.06276431679725647,
-0.02905960939824581,
0.04113832488656044,
0.07591979205608368,
0.0271284319460392,
0.008419509045779705,
0.0077220178209245205,
-0.04071034863591194,
0.037172216922044754,
-0.1045953780412674,
0.04288960620760918,
0.05860532447695732,
-0.0517374649643898,
-0.08742909133434296,
0.028613608330488205,
0.028199557214975357,
0.01331831980496645,
-0.05461210012435913,
0.032149698585271835,
-0.015887001529335976,
3.66496914396319e-33,
0.025751207023859024,
-0.011357680894434452,
-0.07046036422252655,
-0.09752526134252548,
-0.051331277936697006,
0.017212025821208954,
-0.04847066104412079,
-0.06464973837137222,
-0.09305591881275177,
0.12398210167884827,
0.03862170875072479,
-0.10119747370481491,
0.031940728425979614,
0.007767786737531424,
-0.037406157702207565,
-0.0409824401140213,
-0.029780469834804535,
0.0259371567517519,
0.05012352392077446,
0.0209625456482172,
0.016709476709365845,
-0.034999195486307144,
-0.009594717994332314,
0.10034628957509995,
0.022454021498560905,
-0.029381848871707916,
-0.04018427059054375,
0.04066956415772438,
-0.007993028499186039,
-0.006401372607797384,
0.01924889162182808,
0.05912507325410843,
0.001537144067697227,
0.011251887306571007,
0.08609623461961746,
-0.06436613947153091,
0.03327179327607155,
0.05089960992336273,
-0.037076886743307114,
-0.011815601028501987,
0.035081639885902405,
-0.026544108986854553,
0.013497277162969112,
-0.046334024518728256,
0.037593476474285126,
-0.05604196712374687,
-0.02601480484008789,
0.04527544975280762,
-0.015697259455919266,
0.06282507628202438,
-0.09009934961795807,
0.0009801705600693822,
-0.017389142885804176,
0.06036055088043213,
0.06919888406991959,
-0.04604392126202583,
0.09752652049064636,
0.06404495239257812,
0.011448063887655735,
0.04916428029537201,
0.06913699954748154,
-0.11489753425121307,
0.041978392750024796,
-0.1119086816906929,
-0.05758002772927284,
0.06458482891321182,
0.05196500942111015,
-0.017268864437937737,
-0.03935465216636658,
0.0784742534160614,
-0.02224215678870678,
0.013651219196617603,
-0.02371564693748951,
-0.008151729591190815,
-0.03019692935049534,
-0.005591884255409241,
0.04579171910881996,
0.08751136064529419,
-0.031918808817863464,
-0.01810125820338726,
0.05398024246096611,
-0.02864602766931057,
-0.019169792532920837,
0.04645092412829399,
-0.013251781463623047,
-0.03316975384950638,
-0.06929642707109451,
0.0523940846323967,
-0.07275129854679108,
0.07027497887611389,
0.010462717153131962,
-0.031105266883969307,
0.0046121166087687016,
-0.026887115091085434,
-0.05194886401295662,
-6.828167504018348e-34,
0.12789839506149292,
-0.010116510093212128,
0.014723489992320538,
0.07347245514392853,
0.0891660749912262,
-0.020591529086232185,
0.09699198603630066,
0.006917665246874094,
0.019669555127620697,
-0.04521225020289421,
-0.025168880820274353,
-0.021757658571004868,
-0.03217174485325813,
0.01356291864067316,
-0.01312366034835577,
0.008620500564575195,
-0.026159174740314484,
-0.011972823180258274,
0.01750805601477623,
0.03449482470750809,
0.023574432358145714,
-0.006290634162724018,
0.03358820825815201,
0.027678294107317924,
0.06676576286554337,
0.020617300644516945,
-0.05704692751169205,
0.015324731357395649,
-0.02369023486971855,
-0.07391519099473953,
0.026104390621185303,
0.02066337689757347,
0.041929084807634354,
-0.07859830558300018,
-0.09727898985147476,
0.030548572540283203,
-0.005949053913354874,
0.03384828567504883,
0.012681038118898869,
-0.03882802650332451,
0.012162251397967339,
0.04295340180397034,
-0.033576469868421555,
-0.008061387576162815,
0.004911966156214476,
0.08129977434873581,
-0.06675378978252411,
-0.054480187594890594,
-0.05760662630200386,
0.05494983121752739,
-0.0664491355419159,
0.034770235419273376,
0.04229988530278206,
0.005217851605266333,
-0.02629600092768669,
-0.021246660500764847,
-0.09072471410036087,
0.04078264161944389,
-0.05823493003845215,
0.05432961508631706,
-0.02064376510679722,
0.030676037073135376,
0.09167033433914185,
-0.026299655437469482,
0.05274952948093414,
0.05583665519952774,
0.01573530025780201,
-0.04413672909140587,
-0.033403538167476654,
-0.036599744111299515,
-0.006234938278794289,
0.017839480191469193,
-0.05088457837700844,
0.057226285338401794,
0.03671642765402794,
-0.023466067388653755,
-0.07869000732898712,
0.031247876584529877,
0.026616953313350677,
0.02835647575557232,
0.026496028527617455,
0.05427160486578941,
-0.07472208887338638,
0.03818130120635033,
-0.029306333512067795,
0.07083919644355774,
-0.04349247366189957,
-0.02699778974056244,
-0.015278566628694534,
-0.0372510626912117,
-0.009147812612354755,
0.010603210888803005,
-0.07234104722738266,
-0.015649303793907166,
0.10341773182153702,
-3.9247744609838264e-8,
-0.011858387850224972,
0.011909171007573605,
-0.0584724023938179,
0.05735744163393974,
0.09252920746803284,
0.0003480312880128622,
-0.0019526011310517788,
0.03951665759086609,
0.009341652505099773,
-0.03095712885260582,
0.03418387100100517,
0.03289783373475075,
-0.038799453526735306,
0.017251359298825264,
0.011023515835404396,
-0.11177286505699158,
0.015840012580156326,
-0.055196378380060196,
0.0159243606030941,
0.01295942161232233,
0.057946860790252686,
0.02741490863263607,
0.08978195488452911,
-0.03024045191705227,
-0.049799758940935135,
-0.04766591638326645,
-0.03813157603144646,
0.14304053783416748,
0.08038760721683502,
-0.05157795548439026,
0.01758403144776821,
-0.048957083374261856,
-0.0351957306265831,
0.0120690343901515,
-0.05949197709560394,
-0.056613489985466,
-0.10577195137739182,
0.015022381208837032,
0.11347345262765884,
-0.0709071010351181,
0.029603755101561546,
-0.04731112718582153,
-0.008957414887845516,
0.0011832993477582932,
-0.07150077074766159,
-0.004459032788872719,
-0.028485925868153572,
-0.06831291317939758,
-0.03980142995715141,
0.08287524431943893,
0.02036086842417717,
0.048416685312986374,
-0.0007495995960198343,
-0.011974905617535114,
0.026370953768491745,
0.02265070378780365,
0.07087826728820801,
0.020580189302563667,
-0.015568807721138,
0.05314177647233009,
0.014882083982229233,
-0.12131370604038239,
0.06811920553445816,
-0.05950560048222542
] | null | null | null | null | null | null | null | [
0.002905092900618911,
-0.05663910508155823,
-0.005943198688328266,
0.021154092624783516,
-0.05072043091058731,
0.021533498540520668,
0.038523439317941666,
-0.05739226192235947,
-0.0017906668363139033,
-0.04830295965075493,
0.04256325960159302,
0.08323557674884796,
-0.11913225799798965,
-0.04069145396351814,
0.0658002570271492,
0.06904958933591843,
0.056398820132017136,
-0.0015731081366539001,
0.04055708646774292,
0.06237291172146797,
0.03824443370103836,
-0.06781576573848724,
0.07208352535963058,
0.05632799118757248,
0.014358173124492168,
-0.05282038077712059,
-0.07834964245557785,
-0.002690320136025548,
0.02629268541932106,
0.01157429814338684,
0.05729985982179642,
-0.05599825829267502,
0.005739159882068634,
0.08687222748994827,
0.015769608318805695,
-0.03989684581756592,
0.10869646072387695,
-0.023312803357839584,
0.04563022032380104,
-0.015089014545083046,
0.03885582834482193,
-0.04522675648331642,
0.025029070675373077,
0.11386290937662125,
0.012113460339605808,
-0.045597419142723083,
-0.02498861961066723,
-0.023367464542388916,
-0.09300746023654938,
-0.02250051125884056,
-0.03216518089175224,
0.017064062878489494,
-0.03207695856690407,
-0.01113009825348854,
0.030511027202010155,
0.08564695715904236,
0.08027394115924835,
0.07256867736577988,
-0.03472193703055382,
0.020925387740135193,
-0.039658937603235245,
0.015002338215708733,
0.005546566564589739,
-0.04985121637582779,
0.009045095182955265,
-0.025524398311972618,
-0.018410958349704742,
0.030869878828525543,
-0.04528658464550972,
-0.01358418446034193,
0.048305973410606384,
-0.04132669046521187,
-0.016175612807273865,
0.08356356620788574,
-0.029761629179120064,
-0.01838957890868187,
-0.04177815839648247,
0.10991480946540833,
-0.03366663679480553,
0.0279663298279047,
0.020792203024029732,
-0.08148153871297836,
0.05493253469467163,
0.04254452511668205,
-0.035785287618637085,
-0.06523269414901733,
0.08990231156349182,
0.10745459794998169,
-0.09028805792331696,
-0.06635540723800659,
-0.0785345733165741,
0.020382683724164963,
0.05435963347554207,
0.0020762565545737743,
0.09989675134420395,
-0.03337515518069267,
0.09484727680683136,
0.010135732591152191,
0.023839816451072693,
-0.024760590866208076,
0.09898404031991959,
-0.03451330587267876,
-0.04925284907221794,
0.06176268681883812,
-0.07146001607179642,
0.018733227625489235,
0.0041930172592401505,
0.06276431679725647,
-0.02905960939824581,
0.04113832488656044,
0.07591979205608368,
0.0271284319460392,
0.008419509045779705,
0.0077220178209245205,
-0.04071034863591194,
0.037172216922044754,
-0.1045953780412674,
0.04288960620760918,
0.05860532447695732,
-0.0517374649643898,
-0.08742909133434296,
0.028613608330488205,
0.028199557214975357,
0.01331831980496645,
-0.05461210012435913,
0.032149698585271835,
-0.015887001529335976,
3.66496914396319e-33,
0.025751207023859024,
-0.011357680894434452,
-0.07046036422252655,
-0.09752526134252548,
-0.051331277936697006,
0.017212025821208954,
-0.04847066104412079,
-0.06464973837137222,
-0.09305591881275177,
0.12398210167884827,
0.03862170875072479,
-0.10119747370481491,
0.031940728425979614,
0.007767786737531424,
-0.037406157702207565,
-0.0409824401140213,
-0.029780469834804535,
0.0259371567517519,
0.05012352392077446,
0.0209625456482172,
0.016709476709365845,
-0.034999195486307144,
-0.009594717994332314,
0.10034628957509995,
0.022454021498560905,
-0.029381848871707916,
-0.04018427059054375,
0.04066956415772438,
-0.007993028499186039,
-0.006401372607797384,
0.01924889162182808,
0.05912507325410843,
0.001537144067697227,
0.011251887306571007,
0.08609623461961746,
-0.06436613947153091,
0.03327179327607155,
0.05089960992336273,
-0.037076886743307114,
-0.011815601028501987,
0.035081639885902405,
-0.026544108986854553,
0.013497277162969112,
-0.046334024518728256,
0.037593476474285126,
-0.05604196712374687,
-0.02601480484008789,
0.04527544975280762,
-0.015697259455919266,
0.06282507628202438,
-0.09009934961795807,
0.0009801705600693822,
-0.017389142885804176,
0.06036055088043213,
0.06919888406991959,
-0.04604392126202583,
0.09752652049064636,
0.06404495239257812,
0.011448063887655735,
0.04916428029537201,
0.06913699954748154,
-0.11489753425121307,
0.041978392750024796,
-0.1119086816906929,
-0.05758002772927284,
0.06458482891321182,
0.05196500942111015,
-0.017268864437937737,
-0.03935465216636658,
0.0784742534160614,
-0.02224215678870678,
0.013651219196617603,
-0.02371564693748951,
-0.008151729591190815,
-0.03019692935049534,
-0.005591884255409241,
0.04579171910881996,
0.08751136064529419,
-0.031918808817863464,
-0.01810125820338726,
0.05398024246096611,
-0.02864602766931057,
-0.019169792532920837,
0.04645092412829399,
-0.013251781463623047,
-0.03316975384950638,
-0.06929642707109451,
0.0523940846323967,
-0.07275129854679108,
0.07027497887611389,
0.010462717153131962,
-0.031105266883969307,
0.0046121166087687016,
-0.026887115091085434,
-0.05194886401295662,
-6.828167504018348e-34,
0.12789839506149292,
-0.010116510093212128,
0.014723489992320538,
0.07347245514392853,
0.0891660749912262,
-0.020591529086232185,
0.09699198603630066,
0.006917665246874094,
0.019669555127620697,
-0.04521225020289421,
-0.025168880820274353,
-0.021757658571004868,
-0.03217174485325813,
0.01356291864067316,
-0.01312366034835577,
0.008620500564575195,
-0.026159174740314484,
-0.011972823180258274,
0.01750805601477623,
0.03449482470750809,
0.023574432358145714,
-0.006290634162724018,
0.03358820825815201,
0.027678294107317924,
0.06676576286554337,
0.020617300644516945,
-0.05704692751169205,
0.015324731357395649,
-0.02369023486971855,
-0.07391519099473953,
0.026104390621185303,
0.02066337689757347,
0.041929084807634354,
-0.07859830558300018,
-0.09727898985147476,
0.030548572540283203,
-0.005949053913354874,
0.03384828567504883,
0.012681038118898869,
-0.03882802650332451,
0.012162251397967339,
0.04295340180397034,
-0.033576469868421555,
-0.008061387576162815,
0.004911966156214476,
0.08129977434873581,
-0.06675378978252411,
-0.054480187594890594,
-0.05760662630200386,
0.05494983121752739,
-0.0664491355419159,
0.034770235419273376,
0.04229988530278206,
0.005217851605266333,
-0.02629600092768669,
-0.021246660500764847,
-0.09072471410036087,
0.04078264161944389,
-0.05823493003845215,
0.05432961508631706,
-0.02064376510679722,
0.030676037073135376,
0.09167033433914185,
-0.026299655437469482,
0.05274952948093414,
0.05583665519952774,
0.01573530025780201,
-0.04413672909140587,
-0.033403538167476654,
-0.036599744111299515,
-0.006234938278794289,
0.017839480191469193,
-0.05088457837700844,
0.057226285338401794,
0.03671642765402794,
-0.023466067388653755,
-0.07869000732898712,
0.031247876584529877,
0.026616953313350677,
0.02835647575557232,
0.026496028527617455,
0.05427160486578941,
-0.07472208887338638,
0.03818130120635033,
-0.029306333512067795,
0.07083919644355774,
-0.04349247366189957,
-0.02699778974056244,
-0.015278566628694534,
-0.0372510626912117,
-0.009147812612354755,
0.010603210888803005,
-0.07234104722738266,
-0.015649303793907166,
0.10341773182153702,
-3.9247744609838264e-8,
-0.011858387850224972,
0.011909171007573605,
-0.0584724023938179,
0.05735744163393974,
0.09252920746803284,
0.0003480312880128622,
-0.0019526011310517788,
0.03951665759086609,
0.009341652505099773,
-0.03095712885260582,
0.03418387100100517,
0.03289783373475075,
-0.038799453526735306,
0.017251359298825264,
0.011023515835404396,
-0.11177286505699158,
0.015840012580156326,
-0.055196378380060196,
0.0159243606030941,
0.01295942161232233,
0.057946860790252686,
0.02741490863263607,
0.08978195488452911,
-0.03024045191705227,
-0.049799758940935135,
-0.04766591638326645,
-0.03813157603144646,
0.14304053783416748,
0.08038760721683502,
-0.05157795548439026,
0.01758403144776821,
-0.048957083374261856,
-0.0351957306265831,
0.0120690343901515,
-0.05949197709560394,
-0.056613489985466,
-0.10577195137739182,
0.015022381208837032,
0.11347345262765884,
-0.0709071010351181,
0.029603755101561546,
-0.04731112718582153,
-0.008957414887845516,
0.0011832993477582932,
-0.07150077074766159,
-0.004459032788872719,
-0.028485925868153572,
-0.06831291317939758,
-0.03980142995715141,
0.08287524431943893,
0.02036086842417717,
0.048416685312986374,
-0.0007495995960198343,
-0.011974905617535114,
0.026370953768491745,
0.02265070378780365,
0.07087826728820801,
0.020580189302563667,
-0.015568807721138,
0.05314177647233009,
0.014882083982229233,
-0.12131370604038239,
0.06811920553445816,
-0.05950560048222542
] |
1401.0430 | Constantin Siriteanu | Constantin Siriteanu, Akimichi Takemura, Satoshi Kuriki, Donald St. P.
Richards, Hyundong Shin | Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading | 32 pages, 4 figures, 1 table | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For multiple-input/multiple-output (MIMO) spatial multiplexing with
zero-forcing detection (ZF), signal-to-noise ratio (SNR) analysis for Rician
fading involves the cumbersome noncentral-Wishart distribution (NCWD) of the
transmit sample-correlation (Gramian) matrix. An \textsl{approximation} with a
\textsl{virtual} CWD previously yielded for the ZF SNR an approximate (virtual)
Gamma distribution. However, analytical conditions qualifying the accuracy of
the SNR-distribution approximation were unknown. Therefore, we have been
attempting to exactly characterize ZF SNR for Rician fading. Our previous
attempts succeeded only for the sole Rician-fading stream under
Rician--Rayleigh fading, by writing it as scalar Schur complement (SC) in the
Gramian. Herein, we pursue a more general, matrix-SC-based analysis to
characterize SNRs when several streams may undergo Rician fading. On one hand,
for full-Rician fading, the SC distribution is found to be exactly a CWD if and
only if a channel-mean--correlation \textsl{condition} holds. Interestingly,
this CWD then coincides with the \textsl{virtual} CWD ensuing from the
\textsl{approximation}. Thus, under the \textsl{condition}, the actual and
virtual SNR-distributions coincide. On the other hand, for Rician--Rayleigh
fading, the matrix-SC distribution is characterized in terms of determinant of
matrix with elementary-function entries, which also yields a new
characterization of the ZF SNR. Average error probability results validate our
analysis vs.~simulation.
| [
{
"created": "Thu, 2 Jan 2014 12:57:23 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2014 13:28:59 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Mar 2014 23:59:25 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Sep 2014 06:47:16 GMT",
"version": "v4"
}
] | 2014-09-29 | [
[
"Siriteanu",
"Constantin",
""
],
[
"Takemura",
"Akimichi",
""
],
[
"Kuriki",
"Satoshi",
""
],
[
"Richards",
"Donald St. P.",
""
],
[
"Shin",
"Hyundong",
""
]
] | [
0.0021307487040758133,
-0.07593514770269394,
0.00002166010017390363,
-0.003767509711906314,
0.006602191831916571,
0.04060981795191765,
0.012484343722462654,
-0.06103047728538513,
0.06573402136564255,
0.04467911273241043,
-0.0036684409715235233,
0.02303600311279297,
0.10488522052764893,
0.10915407538414001,
-0.024536680430173874,
-0.043366432189941406,
0.06645906716585159,
0.09131518006324768,
-0.05546820908784866,
0.060866404324769974,
-0.03416532650589943,
0.044948771595954895,
-0.001768284710124135,
0.04162871465086937,
0.05031831935048103,
-0.028658593073487282,
0.017839521169662476,
-0.03748001530766487,
0.017261192202568054,
0.08840177953243256,
-0.0010993608739227057,
0.06807474046945572,
0.007933087646961212,
-0.07136904448270798,
-0.02260526642203331,
-0.025812674313783646,
0.011674038134515285,
0.049824997782707214,
0.06688385456800461,
0.11900004744529724,
-0.011821809224784374,
0.022929321974515915,
-0.020089857280254364,
0.047264132648706436,
-0.05001377314329147,
-0.055297497659921646,
0.0557551383972168,
-0.08378138393163681,
-0.008422805927693844,
-0.05520417168736458,
0.02676556259393692,
0.04762660712003708,
-0.08616448193788528,
0.021601632237434387,
0.01804560236632824,
-0.13503845036029816,
-0.04952564463019371,
-0.057772956788539886,
0.013931166380643845,
0.046597566455602646,
-0.0039004008285701275,
-0.06966006010770798,
-0.009772204793989658,
0.00046798487892374396,
0.016303308308124542,
0.056893061846494675,
-0.062459420412778854,
0.08442313969135284,
-0.024539723992347717,
0.03246898204088211,
-0.09858699887990952,
0.023907532915472984,
-0.08832763135433197,
0.08692973107099533,
0.023014506325125694,
0.0473555326461792,
0.04010617360472679,
0.028047829866409302,
0.06397797912359238,
-0.004442617762833834,
0.09087993949651718,
0.025978868827223778,
-0.01578793115913868,
-0.12148309499025345,
0.07540067285299301,
0.03426657244563103,
0.027657723054289818,
0.08454333245754242,
0.011325350031256676,
-0.04010496288537979,
-0.03833113610744476,
0.07293491810560226,
-0.06537719070911407,
-0.049918752163648605,
-0.01442225743085146,
-0.0727323666214943,
-0.050743717700242996,
-0.0006255858461372554,
0.07984133809804916,
0.03671160712838173,
0.07469767332077026,
-0.08082558214664459,
0.0574009083211422,
-0.021901283413171768,
-0.0074395593255758286,
-0.01904473640024662,
0.02826523222029209,
0.03676286339759827,
0.021824736148118973,
-0.06507141888141632,
-0.01252689491957426,
-0.031739525496959686,
-0.028013361617922783,
0.0013451853301376104,
-0.082992784678936,
0.09834099560976028,
0.06848084181547165,
0.13300003111362457,
0.0401722677052021,
0.020508937537670135,
-0.062286071479320526,
-0.05702383071184158,
-0.00821866188198328,
0.07325569540262222,
0.07771693170070648,
0.05466197431087494,
0.000301756605040282,
1.032819091333217e-33,
-0.04281751066446304,
0.037522364407777786,
-0.046550095081329346,
0.0500657856464386,
-0.04686742648482323,
0.02382706291973591,
0.02689039148390293,
-0.04689459502696991,
0.026421554386615753,
0.012174280360341072,
-0.007080362178385258,
0.06851693242788315,
-0.04524333029985428,
-0.03819955885410309,
0.003121591405943036,
0.075025774538517,
-0.07045542448759079,
-0.11600146442651749,
-0.011861740611493587,
-0.033634550869464874,
0.10061221569776535,
0.06182728707790375,
-0.044909004122018814,
-0.05739472806453705,
0.02722928300499916,
-0.059374116361141205,
0.023139607161283493,
-0.11647625267505646,
0.003304991638287902,
0.031230539083480835,
-0.03553224354982376,
-0.000932629918679595,
0.015096662566065788,
-0.010653012432157993,
-0.03482953831553459,
-0.03219114616513252,
-0.011070938780903816,
0.006762639153748751,
-0.047086600214242935,
-0.05422017723321915,
-0.05470540374517441,
0.03147445619106293,
-0.08305171132087708,
-0.034054696559906006,
-0.0413183867931366,
-0.06753239780664444,
0.02915070205926895,
0.03002450242638588,
0.04335550591349602,
-0.050238512456417084,
0.051923662424087524,
0.02228681743144989,
-0.05314333736896515,
0.11159174889326096,
-0.010116217657923698,
0.013105048798024654,
-0.0016282048309221864,
0.028365466743707657,
0.04655764251947403,
0.036679044365882874,
-0.09429320693016052,
-0.059856005012989044,
-0.03119242750108242,
-0.046635717153549194,
0.07705768942832947,
0.00618182634934783,
-0.015259734354913235,
-0.03169138729572296,
0.003814121475443244,
-0.01435707788914442,
0.03243357688188553,
-0.04613211750984192,
-0.032456494867801666,
-0.037183310836553574,
-0.04224492982029915,
-0.07302223891019821,
0.06186553090810776,
0.0077881719917058945,
0.020417891442775726,
0.07770580053329468,
-0.06113380566239357,
0.07492165267467499,
-0.0530843511223793,
0.02457410842180252,
-0.010732664726674557,
0.015731852501630783,
0.008863971568644047,
-0.0971912071108818,
-0.10068897902965546,
-0.0459715873003006,
0.018169423565268517,
0.0026338801253587008,
-0.044060710817575455,
0.06065692752599716,
-0.016051586717367172,
-1.1677688733789888e-33,
-0.06456942111253738,
0.04193756729364395,
-0.027086535468697548,
0.05893150344491005,
-0.0569295771420002,
-0.08519390225410461,
0.04976464807987213,
-0.014556347392499447,
0.02451404742896557,
-0.0075286198407411575,
0.03426099568605423,
-0.04952605441212654,
-0.027425117790699005,
0.09600862860679626,
-0.031691666692495346,
0.008404719643294811,
0.0722871720790863,
0.09804359078407288,
-0.027251778170466423,
-0.02621571719646454,
0.026581929996609688,
0.0546267144382,
0.026975486427545547,
-0.004693869035691023,
0.02140728197991848,
0.039797328412532806,
0.0456114262342453,
0.06138347461819649,
-0.08091413229703903,
0.008663409389555454,
-0.026526516303420067,
-0.04297124594449997,
-0.035753022879362106,
-0.066768579185009,
0.021762842312455177,
-0.004667993169277906,
0.03569614887237549,
0.08914516121149063,
-0.07296902686357498,
0.1262626200914383,
0.04446541145443916,
0.029914138838648796,
0.02975856512784958,
-0.0006144964718259871,
0.0019451185362413526,
-0.03282248601317406,
0.007187679875642061,
0.0546063669025898,
0.03245353326201439,
-0.04067709296941757,
0.0272013321518898,
0.0046792421489953995,
-0.06973249465227127,
0.12102216482162476,
-0.041160698980093,
-0.03256130591034889,
0.0935828909277916,
0.05066702887415886,
-0.02454734593629837,
0.04235406965017319,
-0.02342665195465088,
0.012239518575370312,
-0.01595025137066841,
-0.07834666967391968,
0.023711495101451874,
-0.01097031682729721,
0.019826676696538925,
-0.02010483294725418,
0.029857514426112175,
-0.012869934551417828,
0.04236726462841034,
-0.06803173571825027,
-0.05924067273736,
0.01191190630197525,
0.08195223659276962,
0.08559232950210571,
-0.026074593886733055,
-0.01605466939508915,
-0.02146647498011589,
0.05678391084074974,
0.016875606030225754,
0.06881178170442581,
-0.009130451828241348,
0.027502942830324173,
0.055524617433547974,
0.04371625930070877,
0.02194557897746563,
-0.043532226234674454,
0.07282911241054535,
-0.06401138752698898,
0.04713621735572815,
-0.021551821380853653,
0.024138344451785088,
0.03385910019278526,
-0.009967583231627941,
-4.8239034100561184e-8,
-0.07668381929397583,
-0.02591368928551674,
-0.058651797473430634,
-0.07525867968797684,
-0.0008976008975878358,
0.035143811255693436,
0.03127866983413696,
-0.031072208657860756,
0.0043323952704668045,
-0.016717659309506416,
0.05632732808589935,
-0.03531179949641228,
-0.11201123148202896,
-0.010325726121664047,
-0.03143585845828056,
0.01587422378361225,
-0.029934566468000412,
-0.024137409403920174,
0.009170650504529476,
-0.02703854627907276,
-0.017261728644371033,
0.010094142518937588,
0.049213580787181854,
0.00284097483381629,
-0.07459884881973267,
-0.016721008345484734,
0.027320152148604393,
0.01817036233842373,
0.08914658427238464,
-0.0887836143374443,
0.02337561547756195,
-0.035330865532159805,
-0.04010091349482536,
0.0035146763548254967,
-0.11998209357261658,
0.06021858751773834,
0.08417581766843796,
0.036449823528528214,
-0.01855597086250782,
0.0944242924451828,
-0.04321235790848732,
-0.04912639409303665,
-0.009233499877154827,
-0.0028132647275924683,
0.012582778930664062,
0.07553127408027649,
-0.013787086121737957,
0.008267574943602085,
0.0032352758571505547,
-0.017607038840651512,
0.03272039443254471,
-0.044897839426994324,
-0.044411130249500275,
0.04177500307559967,
-0.005399486515671015,
-0.13879606127738953,
0.040574729442596436,
0.008173388428986073,
-0.002408601576462388,
-0.05217020586133003,
-0.007176586426794529,
0.06646431982517242,
-0.07794412970542908,
-0.018022209405899048
] | null | null | null | null | null | null | null | [
0.0021307487040758133,
-0.07593514770269394,
0.00002166010017390363,
-0.003767509711906314,
0.006602191831916571,
0.04060981795191765,
0.012484343722462654,
-0.06103047728538513,
0.06573402136564255,
0.04467911273241043,
-0.0036684409715235233,
0.02303600311279297,
0.10488522052764893,
0.10915407538414001,
-0.024536680430173874,
-0.043366432189941406,
0.06645906716585159,
0.09131518006324768,
-0.05546820908784866,
0.060866404324769974,
-0.03416532650589943,
0.044948771595954895,
-0.001768284710124135,
0.04162871465086937,
0.05031831935048103,
-0.028658593073487282,
0.017839521169662476,
-0.03748001530766487,
0.017261192202568054,
0.08840177953243256,
-0.0010993608739227057,
0.06807474046945572,
0.007933087646961212,
-0.07136904448270798,
-0.02260526642203331,
-0.025812674313783646,
0.011674038134515285,
0.049824997782707214,
0.06688385456800461,
0.11900004744529724,
-0.011821809224784374,
0.022929321974515915,
-0.020089857280254364,
0.047264132648706436,
-0.05001377314329147,
-0.055297497659921646,
0.0557551383972168,
-0.08378138393163681,
-0.008422805927693844,
-0.05520417168736458,
0.02676556259393692,
0.04762660712003708,
-0.08616448193788528,
0.021601632237434387,
0.01804560236632824,
-0.13503845036029816,
-0.04952564463019371,
-0.057772956788539886,
0.013931166380643845,
0.046597566455602646,
-0.0039004008285701275,
-0.06966006010770798,
-0.009772204793989658,
0.00046798487892374396,
0.016303308308124542,
0.056893061846494675,
-0.062459420412778854,
0.08442313969135284,
-0.024539723992347717,
0.03246898204088211,
-0.09858699887990952,
0.023907532915472984,
-0.08832763135433197,
0.08692973107099533,
0.023014506325125694,
0.0473555326461792,
0.04010617360472679,
0.028047829866409302,
0.06397797912359238,
-0.004442617762833834,
0.09087993949651718,
0.025978868827223778,
-0.01578793115913868,
-0.12148309499025345,
0.07540067285299301,
0.03426657244563103,
0.027657723054289818,
0.08454333245754242,
0.011325350031256676,
-0.04010496288537979,
-0.03833113610744476,
0.07293491810560226,
-0.06537719070911407,
-0.049918752163648605,
-0.01442225743085146,
-0.0727323666214943,
-0.050743717700242996,
-0.0006255858461372554,
0.07984133809804916,
0.03671160712838173,
0.07469767332077026,
-0.08082558214664459,
0.0574009083211422,
-0.021901283413171768,
-0.0074395593255758286,
-0.01904473640024662,
0.02826523222029209,
0.03676286339759827,
0.021824736148118973,
-0.06507141888141632,
-0.01252689491957426,
-0.031739525496959686,
-0.028013361617922783,
0.0013451853301376104,
-0.082992784678936,
0.09834099560976028,
0.06848084181547165,
0.13300003111362457,
0.0401722677052021,
0.020508937537670135,
-0.062286071479320526,
-0.05702383071184158,
-0.00821866188198328,
0.07325569540262222,
0.07771693170070648,
0.05466197431087494,
0.000301756605040282,
1.032819091333217e-33,
-0.04281751066446304,
0.037522364407777786,
-0.046550095081329346,
0.0500657856464386,
-0.04686742648482323,
0.02382706291973591,
0.02689039148390293,
-0.04689459502696991,
0.026421554386615753,
0.012174280360341072,
-0.007080362178385258,
0.06851693242788315,
-0.04524333029985428,
-0.03819955885410309,
0.003121591405943036,
0.075025774538517,
-0.07045542448759079,
-0.11600146442651749,
-0.011861740611493587,
-0.033634550869464874,
0.10061221569776535,
0.06182728707790375,
-0.044909004122018814,
-0.05739472806453705,
0.02722928300499916,
-0.059374116361141205,
0.023139607161283493,
-0.11647625267505646,
0.003304991638287902,
0.031230539083480835,
-0.03553224354982376,
-0.000932629918679595,
0.015096662566065788,
-0.010653012432157993,
-0.03482953831553459,
-0.03219114616513252,
-0.011070938780903816,
0.006762639153748751,
-0.047086600214242935,
-0.05422017723321915,
-0.05470540374517441,
0.03147445619106293,
-0.08305171132087708,
-0.034054696559906006,
-0.0413183867931366,
-0.06753239780664444,
0.02915070205926895,
0.03002450242638588,
0.04335550591349602,
-0.050238512456417084,
0.051923662424087524,
0.02228681743144989,
-0.05314333736896515,
0.11159174889326096,
-0.010116217657923698,
0.013105048798024654,
-0.0016282048309221864,
0.028365466743707657,
0.04655764251947403,
0.036679044365882874,
-0.09429320693016052,
-0.059856005012989044,
-0.03119242750108242,
-0.046635717153549194,
0.07705768942832947,
0.00618182634934783,
-0.015259734354913235,
-0.03169138729572296,
0.003814121475443244,
-0.01435707788914442,
0.03243357688188553,
-0.04613211750984192,
-0.032456494867801666,
-0.037183310836553574,
-0.04224492982029915,
-0.07302223891019821,
0.06186553090810776,
0.0077881719917058945,
0.020417891442775726,
0.07770580053329468,
-0.06113380566239357,
0.07492165267467499,
-0.0530843511223793,
0.02457410842180252,
-0.010732664726674557,
0.015731852501630783,
0.008863971568644047,
-0.0971912071108818,
-0.10068897902965546,
-0.0459715873003006,
0.018169423565268517,
0.0026338801253587008,
-0.044060710817575455,
0.06065692752599716,
-0.016051586717367172,
-1.1677688733789888e-33,
-0.06456942111253738,
0.04193756729364395,
-0.027086535468697548,
0.05893150344491005,
-0.0569295771420002,
-0.08519390225410461,
0.04976464807987213,
-0.014556347392499447,
0.02451404742896557,
-0.0075286198407411575,
0.03426099568605423,
-0.04952605441212654,
-0.027425117790699005,
0.09600862860679626,
-0.031691666692495346,
0.008404719643294811,
0.0722871720790863,
0.09804359078407288,
-0.027251778170466423,
-0.02621571719646454,
0.026581929996609688,
0.0546267144382,
0.026975486427545547,
-0.004693869035691023,
0.02140728197991848,
0.039797328412532806,
0.0456114262342453,
0.06138347461819649,
-0.08091413229703903,
0.008663409389555454,
-0.026526516303420067,
-0.04297124594449997,
-0.035753022879362106,
-0.066768579185009,
0.021762842312455177,
-0.004667993169277906,
0.03569614887237549,
0.08914516121149063,
-0.07296902686357498,
0.1262626200914383,
0.04446541145443916,
0.029914138838648796,
0.02975856512784958,
-0.0006144964718259871,
0.0019451185362413526,
-0.03282248601317406,
0.007187679875642061,
0.0546063669025898,
0.03245353326201439,
-0.04067709296941757,
0.0272013321518898,
0.0046792421489953995,
-0.06973249465227127,
0.12102216482162476,
-0.041160698980093,
-0.03256130591034889,
0.0935828909277916,
0.05066702887415886,
-0.02454734593629837,
0.04235406965017319,
-0.02342665195465088,
0.012239518575370312,
-0.01595025137066841,
-0.07834666967391968,
0.023711495101451874,
-0.01097031682729721,
0.019826676696538925,
-0.02010483294725418,
0.029857514426112175,
-0.012869934551417828,
0.04236726462841034,
-0.06803173571825027,
-0.05924067273736,
0.01191190630197525,
0.08195223659276962,
0.08559232950210571,
-0.026074593886733055,
-0.01605466939508915,
-0.02146647498011589,
0.05678391084074974,
0.016875606030225754,
0.06881178170442581,
-0.009130451828241348,
0.027502942830324173,
0.055524617433547974,
0.04371625930070877,
0.02194557897746563,
-0.043532226234674454,
0.07282911241054535,
-0.06401138752698898,
0.04713621735572815,
-0.021551821380853653,
0.024138344451785088,
0.03385910019278526,
-0.009967583231627941,
-4.8239034100561184e-8,
-0.07668381929397583,
-0.02591368928551674,
-0.058651797473430634,
-0.07525867968797684,
-0.0008976008975878358,
0.035143811255693436,
0.03127866983413696,
-0.031072208657860756,
0.0043323952704668045,
-0.016717659309506416,
0.05632732808589935,
-0.03531179949641228,
-0.11201123148202896,
-0.010325726121664047,
-0.03143585845828056,
0.01587422378361225,
-0.029934566468000412,
-0.024137409403920174,
0.009170650504529476,
-0.02703854627907276,
-0.017261728644371033,
0.010094142518937588,
0.049213580787181854,
0.00284097483381629,
-0.07459884881973267,
-0.016721008345484734,
0.027320152148604393,
0.01817036233842373,
0.08914658427238464,
-0.0887836143374443,
0.02337561547756195,
-0.035330865532159805,
-0.04010091349482536,
0.0035146763548254967,
-0.11998209357261658,
0.06021858751773834,
0.08417581766843796,
0.036449823528528214,
-0.01855597086250782,
0.0944242924451828,
-0.04321235790848732,
-0.04912639409303665,
-0.009233499877154827,
-0.0028132647275924683,
0.012582778930664062,
0.07553127408027649,
-0.013787086121737957,
0.008267574943602085,
0.0032352758571505547,
-0.017607038840651512,
0.03272039443254471,
-0.044897839426994324,
-0.044411130249500275,
0.04177500307559967,
-0.005399486515671015,
-0.13879606127738953,
0.040574729442596436,
0.008173388428986073,
-0.002408601576462388,
-0.05217020586133003,
-0.007176586426794529,
0.06646431982517242,
-0.07794412970542908,
-0.018022209405899048
] |
1401.0432 | G Ramakrishna | N.S. Narayanaswamy and G. Ramakrishna | On Minimum Average Stretch Spanning Trees in Polygonal 2-trees | 17 pages, 12 figures | null | null | null | cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A spanning tree of an unweighted graph is a minimum average stretch spanning
tree if it minimizes the ratio of sum of the distances in the tree between the
end vertices of the graph edges and the number of graph edges. We consider the
problem of computing a minimum average stretch spanning tree in polygonal
2-trees, a super class of 2-connected outerplanar graphs. For a polygonal
2-tree on $n$ vertices, we present an algorithm to compute a minimum average
stretch spanning tree in $O(n \log n)$ time. This algorithm also finds a
minimum fundamental cycle basis in polygonal 2-trees.
| [
{
"created": "Thu, 2 Jan 2014 13:31:13 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2014 07:37:46 GMT",
"version": "v2"
}
] | 2014-04-15 | [
[
"Narayanaswamy",
"N. S.",
""
],
[
"Ramakrishna",
"G.",
""
]
] | [
-0.02042616717517376,
0.04039894789457321,
0.003807529341429472,
0.005831301212310791,
0.023655425757169724,
-0.08605912327766418,
-0.0787518173456192,
0.13665632903575897,
-0.03829634562134743,
-0.012166930362582207,
-0.022085150703787804,
-0.01569473184645176,
0.0008074560901150107,
0.02306310459971428,
-0.044072408229112625,
0.03893202170729637,
-0.03805551305413246,
0.04006243869662285,
0.044126663357019424,
-0.006091886665672064,
0.0973488911986351,
-0.07749171555042267,
-0.008005217649042606,
-0.07260724902153015,
0.03688016161322594,
0.010909914039075375,
-0.06339090317487717,
0.03131093457341194,
0.03329748287796974,
0.002932941075414419,
-0.03907996043562889,
0.006174101028591394,
0.022532133385539055,
-0.04945791885256767,
-0.03949350863695145,
-0.060295626521110535,
0.016887228935956955,
0.04730002582073212,
0.03906984627246857,
-0.004040177445858717,
0.016444137319922447,
0.08977151662111282,
0.008812138810753822,
0.05480454862117767,
0.01517460960894823,
0.017406733706593513,
-0.09475581347942352,
0.0012145619839429855,
-0.08033540844917297,
-0.039549704641103745,
0.04222073778510094,
-0.07072034478187561,
-0.019446594640612602,
0.02562088333070278,
0.0020579167176038027,
-0.026613226160407066,
-0.05550055578351021,
-0.009673519991338253,
0.02515607886016369,
0.046634458005428314,
0.12008178234100342,
-0.0357435941696167,
0.009414688684046268,
-0.03989230468869209,
-0.02500731498003006,
0.007551905233412981,
0.03936665877699852,
0.0425151064991951,
-0.08353843539953232,
0.046526532620191574,
-0.029757434502243996,
0.060328636318445206,
-0.06458292156457901,
0.018615135923027992,
0.054402224719524384,
-0.018294882029294968,
0.014156733639538288,
0.024973908439278603,
-0.07241743057966232,
-0.017376502975821495,
-0.012446818873286247,
-0.0252683088183403,
-0.0010107888374477625,
-0.024708835408091545,
-0.06954463571310043,
-0.007169064600020647,
0.028184829279780388,
0.056112468242645264,
0.02461421862244606,
0.08676639944314957,
-0.030828513205051422,
0.05456053093075752,
-0.0829823836684227,
-0.038038235157728195,
-0.08546066284179688,
0.018072688952088356,
0.005299500189721584,
0.0858253538608551,
-0.01203832309693098,
0.03583375737071037,
-0.007938876748085022,
-0.09981737285852432,
0.09149046242237091,
-0.05018790066242218,
0.03725537285208702,
0.05428396165370941,
-0.0390377976000309,
-0.0381658710539341,
0.06847310811281204,
0.0011415733024477959,
0.037176065146923065,
-0.02436857484281063,
-0.0661848783493042,
0.026493284851312637,
-0.05672767758369446,
-0.025852588936686516,
0.023064017295837402,
-0.019099785014986992,
0.06145022436976433,
0.01573891006410122,
-0.012904074974358082,
0.02249048836529255,
0.009041287004947662,
-0.0027376406360417604,
0.05160440877079964,
-0.0453849658370018,
-0.043016467243433,
3.9339461286603306e-34,
-0.023409198969602585,
0.021850984543561935,
0.034408390522003174,
-0.07091456651687622,
0.07284089177846909,
0.012615354731678963,
-0.04161430522799492,
-0.07704542577266693,
0.06138458102941513,
-0.01654403656721115,
-0.11854598671197891,
-0.03192681819200516,
0.045834507793188095,
-0.07421621680259705,
0.1576927751302719,
-0.03813689574599266,
-0.004740752279758453,
-0.030145281925797462,
0.04691401869058609,
-0.07271508872509003,
0.026581548154354095,
0.0026363860815763474,
0.07296021282672882,
-0.048569247126579285,
0.012953720986843109,
-0.07676798105239868,
0.05662631243467331,
-0.11120371520519257,
0.07215961813926697,
-0.007054092362523079,
-0.026401417329907417,
-0.006555538158863783,
-0.02550492249429226,
0.03323506936430931,
0.002463327255100012,
-0.02412133477628231,
0.017419589683413506,
0.0015878542326390743,
-0.029305312782526016,
-0.02163904532790184,
0.024502888321876526,
0.008119932375848293,
0.12469419836997986,
-0.03097502700984478,
0.023946374654769897,
-0.005013574380427599,
0.07734892517328262,
0.06400898844003677,
-0.06620769947767258,
0.025590458884835243,
-0.07391127198934555,
0.013168057426810265,
-0.024845045059919357,
0.04719424620270729,
0.02652941271662712,
0.0595577098429203,
-0.015519803389906883,
-0.005006066989153624,
-0.004288712982088327,
0.12778420746326447,
0.08780881762504578,
-0.0767047181725502,
0.0046520414762198925,
0.014811236411333084,
-0.07181505858898163,
-0.03739401698112488,
-0.026544388383626938,
0.01531026978045702,
-0.009174777194857597,
0.035475894808769226,
-0.016793837770819664,
-0.023474089801311493,
-0.02579267881810665,
-0.03308271989226341,
0.037816084921360016,
-0.013155223801732063,
0.02349504455924034,
0.009132632985711098,
-0.05455853417515755,
0.02080303430557251,
-0.025305088609457016,
-0.0665401816368103,
0.06878761202096939,
-0.08314795792102814,
-0.0036873482167720795,
-0.04897347465157509,
0.024632856249809265,
0.059007156640291214,
-0.06873583793640137,
0.01746721938252449,
-0.04357706382870674,
-0.014212016947567463,
-0.0016247809398919344,
0.0550689622759819,
0.08175931870937347,
-1.65938880439019e-33,
0.02410261332988739,
0.0069818939082324505,
0.15965954959392548,
0.07184656709432602,
0.06536627560853958,
0.004897511564195156,
-0.027468061074614525,
-0.01142788864672184,
-0.023036271333694458,
0.0440698117017746,
-0.00724835554137826,
0.03611231595277786,
0.07715627551078796,
-0.002602060791105032,
0.03316253423690796,
-0.043187372386455536,
0.022182347252964973,
0.0038886002730578184,
-0.016901085153222084,
-0.043111007660627365,
0.0927186831831932,
0.02675783820450306,
-0.0460665188729763,
0.016880473122000694,
0.07886888086795807,
-0.026893742382526398,
0.019359339028596878,
-0.007842515595257282,
-0.06156777963042259,
0.04792553931474686,
-0.0005696642911061645,
-0.0478992685675621,
-0.03235626593232155,
0.0159352608025074,
-0.012211375869810581,
-0.005872170440852642,
0.10206227749586105,
-0.020481668412685394,
0.029121089726686478,
0.10567215830087662,
0.05059322342276573,
-0.0015315860509872437,
-0.015658916905522346,
0.018269799649715424,
-0.013566283509135246,
0.06069100648164749,
-0.09960243850946426,
0.0017786870012059808,
-0.1620025485754013,
-0.10281126201152802,
-0.019060900434851646,
-0.028169358149170876,
0.016055455431342125,
-0.010281555354595184,
0.02423894964158535,
-0.023936565965414047,
-0.0856238603591919,
0.09999769926071167,
-0.02816474251449108,
0.01085858978331089,
-0.008972949348390102,
-0.07825173437595367,
-0.06298994272947311,
-0.06271183490753174,
0.009472798556089401,
-0.048893313854932785,
0.04626566171646118,
-0.14465315639972687,
-0.14413189888000488,
0.04258029907941818,
-0.0017255530692636967,
0.05921335890889168,
-0.10708614438772202,
0.009502165019512177,
-0.03738773614168167,
0.047561436891555786,
0.0482199490070343,
-0.038024671375751495,
-0.026345787569880486,
-0.041726067662239075,
-0.08287735283374786,
-0.04162748157978058,
0.048175252974033356,
-0.08427020162343979,
-0.005661351606249809,
-0.07341807335615158,
0.08402935415506363,
-0.005313179921358824,
0.018753966316580772,
0.0400347076356411,
0.0020193748641759157,
0.06540238857269287,
0.05703701451420784,
0.08357486128807068,
-0.03675702586770058,
-3.433943973618625e-8,
-0.07065670192241669,
-0.013716557994484901,
-0.016957782208919525,
0.0011834742035716772,
0.08504778146743774,
-0.002207930665463209,
0.10600046068429947,
0.09823966771364212,
-0.04615706577897072,
0.009686177596449852,
0.015619859099388123,
-0.006333868019282818,
0.020304962992668152,
0.10198193788528442,
0.04031151533126831,
0.002555663464590907,
0.0028374837711453438,
-0.03844267502427101,
0.03637149930000305,
-0.010074468329548836,
-0.0986056998372078,
-0.028418520465493202,
-0.047209255397319794,
0.030228814110159874,
-0.037777651101350784,
-0.048831403255462646,
0.04811782389879227,
-0.030479157343506813,
0.06760105490684509,
-0.021635351702570915,
-0.018231702968478203,
0.0247817263007164,
0.03426024690270424,
-0.021895213052630424,
-0.07578789442777634,
0.07528664171695709,
-0.008117333985865116,
0.020579369738698006,
-0.0234086774289608,
0.04184984043240547,
0.07315664738416672,
0.03716125711798668,
0.04183297976851463,
-0.010687149129807949,
0.06485667079687119,
-0.005595210939645767,
0.010154708288609982,
0.06752634048461914,
-0.009946053847670555,
-0.052676722407341,
0.11259977519512177,
-0.03965534642338753,
0.002085251035168767,
-0.08160334825515747,
0.03405573591589928,
0.000023104226784198545,
0.020624859258532524,
-0.029188403859734535,
0.044373996555805206,
-0.019070759415626526,
-0.023258451372385025,
-0.053476788103580475,
-0.011902831494808197,
0.054784711450338364
] | null | null | null | null | null | null | null | [
-0.02042616717517376,
0.04039894789457321,
0.003807529341429472,
0.005831301212310791,
0.023655425757169724,
-0.08605912327766418,
-0.0787518173456192,
0.13665632903575897,
-0.03829634562134743,
-0.012166930362582207,
-0.022085150703787804,
-0.01569473184645176,
0.0008074560901150107,
0.02306310459971428,
-0.044072408229112625,
0.03893202170729637,
-0.03805551305413246,
0.04006243869662285,
0.044126663357019424,
-0.006091886665672064,
0.0973488911986351,
-0.07749171555042267,
-0.008005217649042606,
-0.07260724902153015,
0.03688016161322594,
0.010909914039075375,
-0.06339090317487717,
0.03131093457341194,
0.03329748287796974,
0.002932941075414419,
-0.03907996043562889,
0.006174101028591394,
0.022532133385539055,
-0.04945791885256767,
-0.03949350863695145,
-0.060295626521110535,
0.016887228935956955,
0.04730002582073212,
0.03906984627246857,
-0.004040177445858717,
0.016444137319922447,
0.08977151662111282,
0.008812138810753822,
0.05480454862117767,
0.01517460960894823,
0.017406733706593513,
-0.09475581347942352,
0.0012145619839429855,
-0.08033540844917297,
-0.039549704641103745,
0.04222073778510094,
-0.07072034478187561,
-0.019446594640612602,
0.02562088333070278,
0.0020579167176038027,
-0.026613226160407066,
-0.05550055578351021,
-0.009673519991338253,
0.02515607886016369,
0.046634458005428314,
0.12008178234100342,
-0.0357435941696167,
0.009414688684046268,
-0.03989230468869209,
-0.02500731498003006,
0.007551905233412981,
0.03936665877699852,
0.0425151064991951,
-0.08353843539953232,
0.046526532620191574,
-0.029757434502243996,
0.060328636318445206,
-0.06458292156457901,
0.018615135923027992,
0.054402224719524384,
-0.018294882029294968,
0.014156733639538288,
0.024973908439278603,
-0.07241743057966232,
-0.017376502975821495,
-0.012446818873286247,
-0.0252683088183403,
-0.0010107888374477625,
-0.024708835408091545,
-0.06954463571310043,
-0.007169064600020647,
0.028184829279780388,
0.056112468242645264,
0.02461421862244606,
0.08676639944314957,
-0.030828513205051422,
0.05456053093075752,
-0.0829823836684227,
-0.038038235157728195,
-0.08546066284179688,
0.018072688952088356,
0.005299500189721584,
0.0858253538608551,
-0.01203832309693098,
0.03583375737071037,
-0.007938876748085022,
-0.09981737285852432,
0.09149046242237091,
-0.05018790066242218,
0.03725537285208702,
0.05428396165370941,
-0.0390377976000309,
-0.0381658710539341,
0.06847310811281204,
0.0011415733024477959,
0.037176065146923065,
-0.02436857484281063,
-0.0661848783493042,
0.026493284851312637,
-0.05672767758369446,
-0.025852588936686516,
0.023064017295837402,
-0.019099785014986992,
0.06145022436976433,
0.01573891006410122,
-0.012904074974358082,
0.02249048836529255,
0.009041287004947662,
-0.0027376406360417604,
0.05160440877079964,
-0.0453849658370018,
-0.043016467243433,
3.9339461286603306e-34,
-0.023409198969602585,
0.021850984543561935,
0.034408390522003174,
-0.07091456651687622,
0.07284089177846909,
0.012615354731678963,
-0.04161430522799492,
-0.07704542577266693,
0.06138458102941513,
-0.01654403656721115,
-0.11854598671197891,
-0.03192681819200516,
0.045834507793188095,
-0.07421621680259705,
0.1576927751302719,
-0.03813689574599266,
-0.004740752279758453,
-0.030145281925797462,
0.04691401869058609,
-0.07271508872509003,
0.026581548154354095,
0.0026363860815763474,
0.07296021282672882,
-0.048569247126579285,
0.012953720986843109,
-0.07676798105239868,
0.05662631243467331,
-0.11120371520519257,
0.07215961813926697,
-0.007054092362523079,
-0.026401417329907417,
-0.006555538158863783,
-0.02550492249429226,
0.03323506936430931,
0.002463327255100012,
-0.02412133477628231,
0.017419589683413506,
0.0015878542326390743,
-0.029305312782526016,
-0.02163904532790184,
0.024502888321876526,
0.008119932375848293,
0.12469419836997986,
-0.03097502700984478,
0.023946374654769897,
-0.005013574380427599,
0.07734892517328262,
0.06400898844003677,
-0.06620769947767258,
0.025590458884835243,
-0.07391127198934555,
0.013168057426810265,
-0.024845045059919357,
0.04719424620270729,
0.02652941271662712,
0.0595577098429203,
-0.015519803389906883,
-0.005006066989153624,
-0.004288712982088327,
0.12778420746326447,
0.08780881762504578,
-0.0767047181725502,
0.0046520414762198925,
0.014811236411333084,
-0.07181505858898163,
-0.03739401698112488,
-0.026544388383626938,
0.01531026978045702,
-0.009174777194857597,
0.035475894808769226,
-0.016793837770819664,
-0.023474089801311493,
-0.02579267881810665,
-0.03308271989226341,
0.037816084921360016,
-0.013155223801732063,
0.02349504455924034,
0.009132632985711098,
-0.05455853417515755,
0.02080303430557251,
-0.025305088609457016,
-0.0665401816368103,
0.06878761202096939,
-0.08314795792102814,
-0.0036873482167720795,
-0.04897347465157509,
0.024632856249809265,
0.059007156640291214,
-0.06873583793640137,
0.01746721938252449,
-0.04357706382870674,
-0.014212016947567463,
-0.0016247809398919344,
0.0550689622759819,
0.08175931870937347,
-1.65938880439019e-33,
0.02410261332988739,
0.0069818939082324505,
0.15965954959392548,
0.07184656709432602,
0.06536627560853958,
0.004897511564195156,
-0.027468061074614525,
-0.01142788864672184,
-0.023036271333694458,
0.0440698117017746,
-0.00724835554137826,
0.03611231595277786,
0.07715627551078796,
-0.002602060791105032,
0.03316253423690796,
-0.043187372386455536,
0.022182347252964973,
0.0038886002730578184,
-0.016901085153222084,
-0.043111007660627365,
0.0927186831831932,
0.02675783820450306,
-0.0460665188729763,
0.016880473122000694,
0.07886888086795807,
-0.026893742382526398,
0.019359339028596878,
-0.007842515595257282,
-0.06156777963042259,
0.04792553931474686,
-0.0005696642911061645,
-0.0478992685675621,
-0.03235626593232155,
0.0159352608025074,
-0.012211375869810581,
-0.005872170440852642,
0.10206227749586105,
-0.020481668412685394,
0.029121089726686478,
0.10567215830087662,
0.05059322342276573,
-0.0015315860509872437,
-0.015658916905522346,
0.018269799649715424,
-0.013566283509135246,
0.06069100648164749,
-0.09960243850946426,
0.0017786870012059808,
-0.1620025485754013,
-0.10281126201152802,
-0.019060900434851646,
-0.028169358149170876,
0.016055455431342125,
-0.010281555354595184,
0.02423894964158535,
-0.023936565965414047,
-0.0856238603591919,
0.09999769926071167,
-0.02816474251449108,
0.01085858978331089,
-0.008972949348390102,
-0.07825173437595367,
-0.06298994272947311,
-0.06271183490753174,
0.009472798556089401,
-0.048893313854932785,
0.04626566171646118,
-0.14465315639972687,
-0.14413189888000488,
0.04258029907941818,
-0.0017255530692636967,
0.05921335890889168,
-0.10708614438772202,
0.009502165019512177,
-0.03738773614168167,
0.047561436891555786,
0.0482199490070343,
-0.038024671375751495,
-0.026345787569880486,
-0.041726067662239075,
-0.08287735283374786,
-0.04162748157978058,
0.048175252974033356,
-0.08427020162343979,
-0.005661351606249809,
-0.07341807335615158,
0.08402935415506363,
-0.005313179921358824,
0.018753966316580772,
0.0400347076356411,
0.0020193748641759157,
0.06540238857269287,
0.05703701451420784,
0.08357486128807068,
-0.03675702586770058,
-3.433943973618625e-8,
-0.07065670192241669,
-0.013716557994484901,
-0.016957782208919525,
0.0011834742035716772,
0.08504778146743774,
-0.002207930665463209,
0.10600046068429947,
0.09823966771364212,
-0.04615706577897072,
0.009686177596449852,
0.015619859099388123,
-0.006333868019282818,
0.020304962992668152,
0.10198193788528442,
0.04031151533126831,
0.002555663464590907,
0.0028374837711453438,
-0.03844267502427101,
0.03637149930000305,
-0.010074468329548836,
-0.0986056998372078,
-0.028418520465493202,
-0.047209255397319794,
0.030228814110159874,
-0.037777651101350784,
-0.048831403255462646,
0.04811782389879227,
-0.030479157343506813,
0.06760105490684509,
-0.021635351702570915,
-0.018231702968478203,
0.0247817263007164,
0.03426024690270424,
-0.021895213052630424,
-0.07578789442777634,
0.07528664171695709,
-0.008117333985865116,
0.020579369738698006,
-0.0234086774289608,
0.04184984043240547,
0.07315664738416672,
0.03716125711798668,
0.04183297976851463,
-0.010687149129807949,
0.06485667079687119,
-0.005595210939645767,
0.010154708288609982,
0.06752634048461914,
-0.009946053847670555,
-0.052676722407341,
0.11259977519512177,
-0.03965534642338753,
0.002085251035168767,
-0.08160334825515747,
0.03405573591589928,
0.000023104226784198545,
0.020624859258532524,
-0.029188403859734535,
0.044373996555805206,
-0.019070759415626526,
-0.023258451372385025,
-0.053476788103580475,
-0.011902831494808197,
0.054784711450338364
] |
1401.0437 | Omer Melih Gul | Omer Melih Gul, Elif Uysal-Biyikoglu | UROP: A Simple, Near-Optimal Scheduling Policy for Energy Harvesting
Sensors | 32 pages, 10 figures, submitted to IEEE Transactions on Information
Theory | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper considers a single-hop wireless network where a central node (or
fusion center, FC) collects data from a set of m energy harvesting (EH) nodes
(e.g. nodes of a wireless sensor network). In each time slot, k of m nodes can
be scheduled by the FC for transmission over k orthogonal channels. FC has no
knowledge about EH processes and current battery states of nodes; however, it
knows outcomes of previous transmission attempts. The objective is to find a
low complexity scheduling policy that maximizes total throughput of the data
backlogged system using the harvested energy, for all types (uniform,
non-uniform, independent, correlated (i.e. Markovian), etc.) EH processes.
Energy is assumed to be stored losslessly in the nodes batteries, up to a
storage capacity (the infinite capacity case is also considered.) The problem
is treated in finite and infinite problem horizons. A low-complexity policy,
UROP (Uniformizing Random Ordered Policy) is proposed, whose near optimality is
shown. Numerical examples indicate that under a reasonable-sized battery
capacity, UROP uses the arriving energy with almost perfect efficiency. As the
problem is a restless multi-armed bandit (RMAB) problem with an average reward
criterion, UROP may have a wider application area than communication networks.
| [
{
"created": "Thu, 2 Jan 2014 13:49:28 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Gul",
"Omer Melih",
""
],
[
"Uysal-Biyikoglu",
"Elif",
""
]
] | [
-0.053239498287439346,
0.08725807070732117,
-0.03788837790489197,
0.037196774035692215,
0.027960900217294693,
-0.06352143734693527,
0.07728182524442673,
-0.049529410898685455,
-0.006753183901309967,
0.12243208289146423,
-0.033946581184864044,
0.04342234134674072,
0.09580380469560623,
-0.02329409308731556,
0.0065882341004908085,
0.058428943157196045,
0.06838033348321915,
-0.022449586540460587,
-0.018266787752509117,
-0.03129402920603752,
0.018245965242385864,
-0.0047250366769731045,
0.10691814124584198,
-0.006689611356705427,
0.020345203578472137,
-0.007014606613665819,
-0.01256939209997654,
-0.05785403028130531,
-0.04047849029302597,
0.013292433694005013,
-0.06626836210489273,
-0.0304975938051939,
0.020369835197925568,
-0.07127203792333603,
0.04770848527550697,
0.07437046617269516,
-0.07335249334573746,
0.004165716469287872,
-0.024803729727864265,
0.0697309672832489,
-0.01653711497783661,
0.05214795097708702,
-0.012908689677715302,
0.09331822395324707,
-0.07971331477165222,
0.0033858485985547304,
-0.0112173892557621,
-0.00003580497286748141,
0.0293777734041214,
-0.052163418382406235,
0.08168943971395493,
-0.039222847670316696,
-0.005764826200902462,
0.05702820420265198,
0.004819622728973627,
0.018094109371304512,
-0.03375718370079994,
0.032098013907670975,
-0.005523415748029947,
0.004710993729531765,
0.015354905277490616,
-0.09924308955669403,
-0.0397210530936718,
-0.05720551311969757,
0.007696107495576143,
-0.0508534274995327,
-0.03114067018032074,
0.09332674741744995,
-0.03459000587463379,
-0.03524146229028702,
0.0010496716713532805,
-0.06303088366985321,
-0.023455385118722916,
-0.04422783479094505,
0.0168941468000412,
0.004936791956424713,
0.05552844703197479,
0.03788657486438751,
-0.014135666191577911,
0.008839250542223454,
-0.01720346137881279,
0.05887150764465332,
-0.030943792313337326,
-0.028156926855444908,
0.042005155235528946,
-0.018845342099666595,
-0.05721195787191391,
0.06518115103244781,
0.11984046548604965,
-0.05549303814768791,
-0.07073318213224411,
0.03851168975234032,
-0.031947921961545944,
0.04241324961185455,
0.036405861377716064,
0.01493922621011734,
0.029565712437033653,
-0.02016499452292919,
-0.04240388423204422,
0.03489866480231285,
0.0310199111700058,
-0.008979403413832188,
0.04654570668935776,
-0.05337616056203842,
0.03960166126489639,
-0.07325182855129242,
-0.03254025802016258,
0.06499073654413223,
0.07622630149126053,
0.0003450780059210956,
0.013849872164428234,
0.05818375572562218,
0.03420518338680267,
0.09856513887643814,
-0.02367064170539379,
0.0839085727930069,
-0.022364914417266846,
-0.03469839319586754,
0.015321656130254269,
0.10953647643327713,
-0.04380658641457558,
-0.05526779219508171,
0.08953770995140076,
0.008966959081590176,
0.06729498505592346,
0.024580910801887512,
0.12741319835186005,
-3.7498881071252273e-35,
-0.04298394173383713,
0.05209080129861832,
0.014936325140297413,
-0.08151760697364807,
0.04736483469605446,
-0.008116505108773708,
0.06458275765180588,
-0.012479417957365513,
-0.005609073676168919,
-0.028582900762557983,
-0.07294085621833801,
0.06255514919757843,
0.0020228216890245676,
0.013886932283639908,
0.04086168482899666,
-0.06688453257083893,
0.04165327176451683,
0.00264419405721128,
0.09142570197582245,
-0.09667935222387314,
0.07977145165205002,
-0.055368874222040176,
-0.04485645145177841,
0.002077185781672597,
0.05454383045434952,
-0.013138310983777046,
0.01285624224692583,
-0.01802339032292366,
0.014801639132201672,
0.04033668339252472,
-0.025678200647234917,
-0.0054656704887747765,
-0.020832233130931854,
0.0015955137787386775,
-0.019556375220417976,
0.006986925844103098,
0.00980080384761095,
0.04567253962159157,
-0.053807180374860764,
-0.0445440374314785,
-0.04251394793391228,
0.018357334658503532,
0.02190052717924118,
-0.02249438315629959,
-0.049394525587558746,
-0.1322885900735855,
0.04961671680212021,
-0.0477016419172287,
-0.08537451177835464,
0.004770055878907442,
-0.032073069363832474,
-0.06392716616392136,
0.06503879278898239,
-0.06313706189393997,
-0.001775539480149746,
0.015750715509057045,
0.04547249525785446,
0.06942005455493927,
0.07647203654050827,
0.04381078854203224,
0.01000785268843174,
0.02176905982196331,
0.03021976538002491,
-0.02617618255317211,
0.05013298615813255,
0.030516240745782852,
-0.09307722002267838,
-0.03625551983714104,
0.04420892149209976,
-0.003607347374781966,
0.06955064833164215,
-0.044669538736343384,
0.0027966578491032124,
-0.10412486642599106,
0.1046423390507698,
0.04508792236447334,
0.10091114044189453,
0.029966160655021667,
-0.07761052250862122,
-0.02728576585650444,
-0.05603775382041931,
-0.041363418102264404,
-0.030519923195242882,
-0.054960157722234726,
-0.0132752051576972,
-0.08555250614881516,
-0.03787371516227722,
-0.025957098230719566,
-0.019192367792129517,
0.06607763469219208,
-0.039066798985004425,
0.03650205209851265,
-0.006045285612344742,
-0.00983644649386406,
-0.026973435655236244,
1.9379952918724727e-34,
0.01139183808118105,
0.04458514228463173,
0.06035703793168068,
-0.025631433352828026,
0.06088844686746597,
0.021003322675824165,
-0.055946242064237595,
-0.08133921772241592,
-0.06914004683494568,
-0.005958679132163525,
-0.11097586899995804,
-0.038217999041080475,
0.016741320490837097,
-0.0005649548838846385,
0.04549490660429001,
-0.006716804578900337,
0.03051541931927204,
0.025394579395651817,
0.025934670120477676,
0.03630470111966133,
0.02333594486117363,
0.0016803673934191465,
-0.06336072087287903,
-0.029844213277101517,
0.051153939217329025,
0.043623827397823334,
0.0015069958753883839,
0.08202574402093887,
-0.003211305709555745,
0.01861552521586418,
-0.012158522382378578,
-0.146797314286232,
-0.004964267369359732,
0.017305884510278702,
0.02053620107471943,
-0.0014565691817551851,
0.024459999054670334,
0.16975881159305573,
-0.03955315425992012,
0.07914794981479645,
0.07846635580062866,
-0.12482723593711853,
-0.06804420799016953,
0.005773083306849003,
0.023990582674741745,
-0.06780500710010529,
-0.11379966139793396,
0.04466864466667175,
0.00564418314024806,
0.03422361984848976,
0.05844830349087715,
-0.020134953781962395,
-0.03777891770005226,
0.04852054640650749,
-0.035571444779634476,
0.021169792860746384,
0.02999170310795307,
0.11331667751073837,
-0.024619730189442635,
-0.06240120902657509,
0.04284164682030678,
-0.09377314895391464,
-0.02241356298327446,
0.07489949464797974,
-0.007412280421704054,
-0.03862163797020912,
0.050625383853912354,
-0.03478294238448143,
-0.04991736263036728,
0.051809925585985184,
-0.0298839770257473,
0.0937306359410286,
0.019318712875247,
-0.05317819491028786,
-0.017476171255111694,
0.08527837693691254,
0.0335414819419384,
-0.005293713416904211,
-0.03805606812238693,
-0.03264952450990677,
-0.09155289828777313,
0.08059760928153992,
0.005772338714450598,
-0.01803748868405819,
0.03201567381620407,
-0.018817855045199394,
0.07698319107294083,
-0.05148698762059212,
0.0029502548277378082,
-0.08526574820280075,
0.026864543557167053,
-0.09844455868005753,
-0.03360782936215401,
0.07372681796550751,
-0.017015088349580765,
-5.161470184589234e-8,
-0.026787763461470604,
-0.016591819003224373,
0.04942590743303299,
-0.00339741469360888,
0.12450546771287918,
-0.026234516873955727,
0.012488311156630516,
-0.03989825397729874,
0.047168925404548645,
0.004453773144632578,
0.09106342494487762,
0.03633967414498329,
0.011724201962351799,
-0.00215968512929976,
0.0033530534710735083,
-0.00003714095873874612,
-0.018340906128287315,
-0.08689867705106735,
0.025880351662635803,
0.0016550751170143485,
-0.0069779460318386555,
-0.05135888606309891,
0.007078672759234905,
0.03311329334974289,
0.037998948246240616,
0.048309195786714554,
0.031696345657110214,
-0.05675513669848442,
0.08613482117652893,
-0.028222884982824326,
-0.050528399646282196,
-0.01358410157263279,
0.06312256306409836,
0.03288016840815544,
-0.1036260575056076,
-0.02557070180773735,
-0.05047957971692085,
-0.007778933737426996,
-0.038245197385549545,
-0.01557617262005806,
0.04796981438994408,
0.02531079575419426,
0.04442702606320381,
-0.03709391877055168,
-0.06983207911252975,
0.00313617498613894,
0.021052571013569832,
0.00997922383248806,
0.026206571608781815,
0.016981929540634155,
-0.023734137415885925,
-0.02397792600095272,
0.0015313283074647188,
-0.008288515731692314,
0.04436761140823364,
0.02458440139889717,
0.012773210182785988,
-0.12753291428089142,
0.051851969212293625,
-0.018821340054273605,
0.038480911403894424,
-0.019557110965251923,
-0.1032496765255928,
-0.03601972758769989
] | null | null | null | null | null | null | null | [
-0.053239498287439346,
0.08725807070732117,
-0.03788837790489197,
0.037196774035692215,
0.027960900217294693,
-0.06352143734693527,
0.07728182524442673,
-0.049529410898685455,
-0.006753183901309967,
0.12243208289146423,
-0.033946581184864044,
0.04342234134674072,
0.09580380469560623,
-0.02329409308731556,
0.0065882341004908085,
0.058428943157196045,
0.06838033348321915,
-0.022449586540460587,
-0.018266787752509117,
-0.03129402920603752,
0.018245965242385864,
-0.0047250366769731045,
0.10691814124584198,
-0.006689611356705427,
0.020345203578472137,
-0.007014606613665819,
-0.01256939209997654,
-0.05785403028130531,
-0.04047849029302597,
0.013292433694005013,
-0.06626836210489273,
-0.0304975938051939,
0.020369835197925568,
-0.07127203792333603,
0.04770848527550697,
0.07437046617269516,
-0.07335249334573746,
0.004165716469287872,
-0.024803729727864265,
0.0697309672832489,
-0.01653711497783661,
0.05214795097708702,
-0.012908689677715302,
0.09331822395324707,
-0.07971331477165222,
0.0033858485985547304,
-0.0112173892557621,
-0.00003580497286748141,
0.0293777734041214,
-0.052163418382406235,
0.08168943971395493,
-0.039222847670316696,
-0.005764826200902462,
0.05702820420265198,
0.004819622728973627,
0.018094109371304512,
-0.03375718370079994,
0.032098013907670975,
-0.005523415748029947,
0.004710993729531765,
0.015354905277490616,
-0.09924308955669403,
-0.0397210530936718,
-0.05720551311969757,
0.007696107495576143,
-0.0508534274995327,
-0.03114067018032074,
0.09332674741744995,
-0.03459000587463379,
-0.03524146229028702,
0.0010496716713532805,
-0.06303088366985321,
-0.023455385118722916,
-0.04422783479094505,
0.0168941468000412,
0.004936791956424713,
0.05552844703197479,
0.03788657486438751,
-0.014135666191577911,
0.008839250542223454,
-0.01720346137881279,
0.05887150764465332,
-0.030943792313337326,
-0.028156926855444908,
0.042005155235528946,
-0.018845342099666595,
-0.05721195787191391,
0.06518115103244781,
0.11984046548604965,
-0.05549303814768791,
-0.07073318213224411,
0.03851168975234032,
-0.031947921961545944,
0.04241324961185455,
0.036405861377716064,
0.01493922621011734,
0.029565712437033653,
-0.02016499452292919,
-0.04240388423204422,
0.03489866480231285,
0.0310199111700058,
-0.008979403413832188,
0.04654570668935776,
-0.05337616056203842,
0.03960166126489639,
-0.07325182855129242,
-0.03254025802016258,
0.06499073654413223,
0.07622630149126053,
0.0003450780059210956,
0.013849872164428234,
0.05818375572562218,
0.03420518338680267,
0.09856513887643814,
-0.02367064170539379,
0.0839085727930069,
-0.022364914417266846,
-0.03469839319586754,
0.015321656130254269,
0.10953647643327713,
-0.04380658641457558,
-0.05526779219508171,
0.08953770995140076,
0.008966959081590176,
0.06729498505592346,
0.024580910801887512,
0.12741319835186005,
-3.7498881071252273e-35,
-0.04298394173383713,
0.05209080129861832,
0.014936325140297413,
-0.08151760697364807,
0.04736483469605446,
-0.008116505108773708,
0.06458275765180588,
-0.012479417957365513,
-0.005609073676168919,
-0.028582900762557983,
-0.07294085621833801,
0.06255514919757843,
0.0020228216890245676,
0.013886932283639908,
0.04086168482899666,
-0.06688453257083893,
0.04165327176451683,
0.00264419405721128,
0.09142570197582245,
-0.09667935222387314,
0.07977145165205002,
-0.055368874222040176,
-0.04485645145177841,
0.002077185781672597,
0.05454383045434952,
-0.013138310983777046,
0.01285624224692583,
-0.01802339032292366,
0.014801639132201672,
0.04033668339252472,
-0.025678200647234917,
-0.0054656704887747765,
-0.020832233130931854,
0.0015955137787386775,
-0.019556375220417976,
0.006986925844103098,
0.00980080384761095,
0.04567253962159157,
-0.053807180374860764,
-0.0445440374314785,
-0.04251394793391228,
0.018357334658503532,
0.02190052717924118,
-0.02249438315629959,
-0.049394525587558746,
-0.1322885900735855,
0.04961671680212021,
-0.0477016419172287,
-0.08537451177835464,
0.004770055878907442,
-0.032073069363832474,
-0.06392716616392136,
0.06503879278898239,
-0.06313706189393997,
-0.001775539480149746,
0.015750715509057045,
0.04547249525785446,
0.06942005455493927,
0.07647203654050827,
0.04381078854203224,
0.01000785268843174,
0.02176905982196331,
0.03021976538002491,
-0.02617618255317211,
0.05013298615813255,
0.030516240745782852,
-0.09307722002267838,
-0.03625551983714104,
0.04420892149209976,
-0.003607347374781966,
0.06955064833164215,
-0.044669538736343384,
0.0027966578491032124,
-0.10412486642599106,
0.1046423390507698,
0.04508792236447334,
0.10091114044189453,
0.029966160655021667,
-0.07761052250862122,
-0.02728576585650444,
-0.05603775382041931,
-0.041363418102264404,
-0.030519923195242882,
-0.054960157722234726,
-0.0132752051576972,
-0.08555250614881516,
-0.03787371516227722,
-0.025957098230719566,
-0.019192367792129517,
0.06607763469219208,
-0.039066798985004425,
0.03650205209851265,
-0.006045285612344742,
-0.00983644649386406,
-0.026973435655236244,
1.9379952918724727e-34,
0.01139183808118105,
0.04458514228463173,
0.06035703793168068,
-0.025631433352828026,
0.06088844686746597,
0.021003322675824165,
-0.055946242064237595,
-0.08133921772241592,
-0.06914004683494568,
-0.005958679132163525,
-0.11097586899995804,
-0.038217999041080475,
0.016741320490837097,
-0.0005649548838846385,
0.04549490660429001,
-0.006716804578900337,
0.03051541931927204,
0.025394579395651817,
0.025934670120477676,
0.03630470111966133,
0.02333594486117363,
0.0016803673934191465,
-0.06336072087287903,
-0.029844213277101517,
0.051153939217329025,
0.043623827397823334,
0.0015069958753883839,
0.08202574402093887,
-0.003211305709555745,
0.01861552521586418,
-0.012158522382378578,
-0.146797314286232,
-0.004964267369359732,
0.017305884510278702,
0.02053620107471943,
-0.0014565691817551851,
0.024459999054670334,
0.16975881159305573,
-0.03955315425992012,
0.07914794981479645,
0.07846635580062866,
-0.12482723593711853,
-0.06804420799016953,
0.005773083306849003,
0.023990582674741745,
-0.06780500710010529,
-0.11379966139793396,
0.04466864466667175,
0.00564418314024806,
0.03422361984848976,
0.05844830349087715,
-0.020134953781962395,
-0.03777891770005226,
0.04852054640650749,
-0.035571444779634476,
0.021169792860746384,
0.02999170310795307,
0.11331667751073837,
-0.024619730189442635,
-0.06240120902657509,
0.04284164682030678,
-0.09377314895391464,
-0.02241356298327446,
0.07489949464797974,
-0.007412280421704054,
-0.03862163797020912,
0.050625383853912354,
-0.03478294238448143,
-0.04991736263036728,
0.051809925585985184,
-0.0298839770257473,
0.0937306359410286,
0.019318712875247,
-0.05317819491028786,
-0.017476171255111694,
0.08527837693691254,
0.0335414819419384,
-0.005293713416904211,
-0.03805606812238693,
-0.03264952450990677,
-0.09155289828777313,
0.08059760928153992,
0.005772338714450598,
-0.01803748868405819,
0.03201567381620407,
-0.018817855045199394,
0.07698319107294083,
-0.05148698762059212,
0.0029502548277378082,
-0.08526574820280075,
0.026864543557167053,
-0.09844455868005753,
-0.03360782936215401,
0.07372681796550751,
-0.017015088349580765,
-5.161470184589234e-8,
-0.026787763461470604,
-0.016591819003224373,
0.04942590743303299,
-0.00339741469360888,
0.12450546771287918,
-0.026234516873955727,
0.012488311156630516,
-0.03989825397729874,
0.047168925404548645,
0.004453773144632578,
0.09106342494487762,
0.03633967414498329,
0.011724201962351799,
-0.00215968512929976,
0.0033530534710735083,
-0.00003714095873874612,
-0.018340906128287315,
-0.08689867705106735,
0.025880351662635803,
0.0016550751170143485,
-0.0069779460318386555,
-0.05135888606309891,
0.007078672759234905,
0.03311329334974289,
0.037998948246240616,
0.048309195786714554,
0.031696345657110214,
-0.05675513669848442,
0.08613482117652893,
-0.028222884982824326,
-0.050528399646282196,
-0.01358410157263279,
0.06312256306409836,
0.03288016840815544,
-0.1036260575056076,
-0.02557070180773735,
-0.05047957971692085,
-0.007778933737426996,
-0.038245197385549545,
-0.01557617262005806,
0.04796981438994408,
0.02531079575419426,
0.04442702606320381,
-0.03709391877055168,
-0.06983207911252975,
0.00313617498613894,
0.021052571013569832,
0.00997922383248806,
0.026206571608781815,
0.016981929540634155,
-0.023734137415885925,
-0.02397792600095272,
0.0015313283074647188,
-0.008288515731692314,
0.04436761140823364,
0.02458440139889717,
0.012773210182785988,
-0.12753291428089142,
0.051851969212293625,
-0.018821340054273605,
0.038480911403894424,
-0.019557110965251923,
-0.1032496765255928,
-0.03601972758769989
] |
1401.0443 | Pradeesha Ashok | Pradeesha Ashok and Ninad Rajgopal and Sathish Govindarajan | Selection Lemmas for various geometric objects | null | null | null | null | cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Selection lemmas are classical results in discrete geometry that have been
well studied and have applications in many geometric problems like weak epsilon
nets and slimming Delaunay triangulations. Selection lemma type results
typically show that there exists a point that is contained in many objects that
are induced (spanned) by an underlying point set.
In the first selection lemma, we consider the set of all the objects induced
(spanned) by a point set $P$. This question has been widely explored for
simplices in $\mathbb{R}^d$, with tight bounds in $\mathbb{R}^2$. In our paper,
we prove first selection lemma for other classes of geometric objects. We also
consider the strong variant of this problem where we add the constraint that
the piercing point comes from $P$. We prove an exact result on the strong and
the weak variant of the first selection lemma for axis-parallel rectangles,
special subclasses of axis-parallel rectangles like quadrants and slabs, disks
(for centrally symmetric point sets). We also show non-trivial bounds on the
first selection lemma for axis-parallel boxes and hyperspheres in
$\mathbb{R}^d$.
In the second selection lemma, we consider an arbitrary $m$ sized subset of
the set of all objects induced by $P$. We study this problem for axis-parallel
rectangles and show that there exists an point in the plane that is contained
in $\frac{m^3}{24n^4}$ rectangles. This is an improvement over the previous
bound by Smorodinsky and Sharir when $m$ is almost quadratic.
| [
{
"created": "Thu, 2 Jan 2014 14:06:04 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Ashok",
"Pradeesha",
""
],
[
"Rajgopal",
"Ninad",
""
],
[
"Govindarajan",
"Sathish",
""
]
] | [
-0.0012270889710634947,
-0.015560856088995934,
0.014023971743881702,
-0.0777212530374527,
0.08823443204164505,
0.030512435361742973,
0.06703194975852966,
0.008818225935101509,
0.07380198687314987,
0.01658870279788971,
-0.03162285313010216,
-0.018198207020759583,
0.033916737884283066,
0.032634153962135315,
0.05050729215145111,
-0.005186188500374556,
0.1137130856513977,
-0.0611877478659153,
0.004172102548182011,
0.07628083229064941,
0.02707420103251934,
-0.033437736332416534,
0.01182442344725132,
0.0028680148534476757,
0.001885882462374866,
-0.03573300316929817,
0.10148989409208298,
0.05887151136994362,
-0.012396263889968395,
0.03314140811562538,
-0.0449819341301918,
-0.02525416761636734,
-0.07657944411039352,
-0.03311392664909363,
-0.03649917244911194,
0.03017420507967472,
0.04657783731818199,
0.02407274767756462,
0.01716332510113716,
0.08719228208065033,
-0.0163015928119421,
0.022087574005126953,
0.0073961373418569565,
0.05310055986046791,
-0.04568903148174286,
0.013456852175295353,
-0.051997121423482895,
0.021939700469374657,
-0.059635356068611145,
-0.13125070929527283,
-0.031475797295570374,
-0.01783360354602337,
-0.04717370495200157,
-0.0163892712444067,
0.02543065696954727,
-0.09990464150905609,
0.007501719053834677,
-0.024175019934773445,
0.015665370970964432,
-0.028257885947823524,
0.06175924465060234,
-0.05480639636516571,
0.009653382003307343,
-0.041412509977817535,
-0.01786092296242714,
-0.008574189618229866,
0.04427211731672287,
0.01935892179608345,
-0.03610493242740631,
0.09811286628246307,
-0.03739218786358833,
0.04031473770737648,
-0.1028614342212677,
-0.009947210550308228,
0.01123505923897028,
-0.009573708288371563,
-0.01445436105132103,
-0.010334388352930546,
-0.03057931736111641,
-0.061383720487356186,
-0.003589035477489233,
0.059165775775909424,
-0.028317803516983986,
0.022010494023561478,
-0.05927648767828941,
-0.023173179477453232,
-0.04539413005113602,
0.0340016670525074,
0.05680258944630623,
-0.00735264178365469,
0.016117939725518227,
0.01828746497631073,
0.014647115021944046,
0.005219026003032923,
-0.05927246809005737,
-0.06584655493497849,
-0.10102154314517975,
0.005410322453826666,
0.061450112611055374,
0.023874718695878983,
0.032591819763183594,
-0.04231329634785652,
0.061262160539627075,
0.007664993871003389,
0.051176171749830246,
-0.0038601423148065805,
-0.02842836081981659,
-0.04332611337304115,
0.037077225744724274,
-0.06033715978264809,
-0.0003190623829141259,
-0.07327830046415329,
-0.01333271898329258,
0.07598493993282318,
-0.0972021222114563,
0.004470263607800007,
0.04610851779580116,
0.007853158749639988,
0.034253377467393875,
-0.011327380314469337,
0.03202221170067787,
0.012371566146612167,
0.028360044583678246,
0.02281809225678444,
0.05850812420248985,
-0.00702675711363554,
-0.0006090162205509841,
1.4559797925559628e-33,
0.06654077023267746,
-0.006919144187122583,
0.0461588054895401,
0.01164238154888153,
-0.010676260106265545,
0.015887869521975517,
0.007091036532074213,
-0.015042496845126152,
0.04615582153201103,
0.05946372449398041,
-0.10342232882976532,
-0.054605260491371155,
0.016878152266144753,
0.05514168366789818,
0.11524156481027603,
0.00433527072891593,
0.03341405466198921,
0.04831875488162041,
-0.018912240862846375,
0.0050018420442938805,
0.01728154346346855,
-0.038263119757175446,
0.013094929046928883,
-0.0725833997130394,
0.001346837729215622,
0.02033732645213604,
0.006332151126116514,
-0.049226559698581696,
-0.0073151253163814545,
0.011172384954988956,
-0.10555694997310638,
0.001286427373997867,
0.05837475135922432,
0.0877213254570961,
-0.02068779617547989,
0.044814690947532654,
-0.11715232580900192,
0.009935423731803894,
-0.07193045318126678,
-0.03758127987384796,
0.06981164216995239,
-0.02845623344182968,
0.0057461559772491455,
0.028072286397218704,
0.031678806990385056,
0.014474042691290379,
-0.07896953821182251,
0.0851249173283577,
-0.044454555958509445,
-0.012158326804637909,
0.028156733140349388,
0.08151467144489288,
-0.06981347501277924,
-0.04589996859431267,
-0.011747075244784355,
0.014837243594229221,
-0.09084155410528183,
0.01207867730408907,
0.03632131963968277,
0.08529999107122421,
-0.009303423576056957,
-0.03800380975008011,
-0.03810740262269974,
0.016097743064165115,
-0.0836174339056015,
-0.0367971733212471,
0.03093881718814373,
-0.08794297277927399,
0.054945506155490875,
-0.017567843198776245,
-0.02620316483080387,
-0.07149841636419296,
-0.007004053797572851,
-0.024210458621382713,
0.0643296167254448,
0.00803444441407919,
0.028960606083273888,
-0.04804836958646774,
0.01813342794775963,
-0.03398936986923218,
-0.06715910136699677,
-0.041184376925230026,
-0.004504703916609287,
-0.18602441251277924,
-0.04008570313453674,
-0.04678880423307419,
0.08883793652057648,
-0.017842087894678116,
0.01735236868262291,
-0.04505747929215431,
-0.045691024512052536,
-0.05198953300714493,
-0.04762260243296623,
0.019248995929956436,
0.0048802015371620655,
-1.8995366064624215e-33,
-0.026852501556277275,
-0.047436509281396866,
0.0053810435347259045,
0.06367228180170059,
-0.015529574826359749,
-0.02419128268957138,
0.01771106943488121,
-0.044952984899282455,
-0.13265906274318695,
-0.07045122236013412,
-0.05060191452503204,
0.02026575431227684,
-0.008993285708129406,
0.020839804783463478,
0.020301930606365204,
0.07660912722349167,
-0.0020330343395471573,
-0.05366551876068115,
-0.09784785658121109,
-0.0074009462259709835,
0.03882305696606636,
-0.030003206804394722,
0.02891940250992775,
0.052557412534952164,
-0.020678425207734108,
0.02630254253745079,
-0.03667134791612625,
-0.005460335873067379,
-0.010580872185528278,
0.04789916053414345,
-0.04074011743068695,
-0.03570767119526863,
-0.12701621651649475,
0.020403755828738213,
0.027401218190789223,
-0.0793895423412323,
0.04545408859848976,
0.04063035547733307,
-0.06821689009666443,
0.0788763016462326,
0.02316948212683201,
0.000010647168892319314,
-0.0729030892252922,
0.1585407555103302,
0.0019734667148441076,
0.04611358791589737,
-0.02192079648375511,
0.020283492282032967,
-0.022425446659326553,
0.007703845854848623,
-0.11311744898557663,
0.02388896234333515,
0.10436250269412994,
0.06643279641866684,
0.043925464153289795,
-0.02437456324696541,
-0.020628543570637703,
0.016336293891072273,
0.08382422477006912,
-0.05234716460108757,
-0.11649715155363083,
0.006280570290982723,
-0.0541393980383873,
0.16102561354637146,
0.11360971629619598,
-0.027431724593043327,
0.07923469692468643,
-0.06493476778268814,
-0.04048025608062744,
0.062379639595746994,
-0.0009206411195918918,
-0.0010809164959937334,
0.025240598246455193,
-0.06882361322641373,
-0.05707455798983574,
0.09580711275339127,
0.05243988707661629,
-0.025479644536972046,
-0.061557330191135406,
0.08012214303016663,
0.013050971552729607,
0.03473692759871483,
0.03231604024767876,
0.0167550016194582,
0.0017414056928828359,
-0.02576700784265995,
0.07013590633869171,
-0.031170714646577835,
0.009475073777139187,
-0.02306511625647545,
0.006574528757482767,
-0.012110961601138115,
0.00009041142038768157,
0.030641430988907814,
0.07707416266202927,
-4.3462961230034125e-8,
-0.02694373019039631,
-0.017121493816375732,
-0.011143290437757969,
-0.024656005203723907,
0.07081612944602966,
-0.09276296943426132,
-0.05388300493359566,
0.13303111493587494,
-0.06920601427555084,
0.07550160586833954,
-0.030567750334739685,
0.000018013379303738475,
-0.017043646425008774,
0.07530877739191055,
0.024784574285149574,
0.0808045044541359,
0.03640947863459587,
0.004142007790505886,
0.038755226880311966,
0.005275723524391651,
-0.06583473086357117,
-0.0043146125972270966,
0.06278625875711441,
0.022291595116257668,
-0.012681554071605206,
-0.033041972666978836,
-0.047338251024484634,
-0.0268606748431921,
0.06702180951833725,
0.05791623145341873,
0.0011166409822180867,
0.024667643010616302,
0.10375187546014786,
0.07404162734746933,
0.023026330396533012,
0.004572744946926832,
-0.04313969239592552,
0.04632769152522087,
-0.04524923115968704,
-0.01295279897749424,
-0.004752611741423607,
-0.011180426925420761,
0.06476617604494095,
-0.06837134063243866,
0.09605885297060013,
0.08829335123300552,
-0.0011573371011763811,
0.03869929909706116,
-0.011879363097250462,
0.021339235827326775,
-0.07642468065023422,
-0.008489764295518398,
0.07963908463716507,
-0.0353667177259922,
-0.0348658487200737,
0.03566933795809746,
-0.01792421191930771,
-0.03985638543963432,
0.09370667487382889,
0.019290421158075333,
-0.047554951161146164,
0.056000590324401855,
-0.02029167115688324,
-0.012666290625929832
] | null | null | null | null | null | null | null | [
-0.0012270889710634947,
-0.015560856088995934,
0.014023971743881702,
-0.0777212530374527,
0.08823443204164505,
0.030512435361742973,
0.06703194975852966,
0.008818225935101509,
0.07380198687314987,
0.01658870279788971,
-0.03162285313010216,
-0.018198207020759583,
0.033916737884283066,
0.032634153962135315,
0.05050729215145111,
-0.005186188500374556,
0.1137130856513977,
-0.0611877478659153,
0.004172102548182011,
0.07628083229064941,
0.02707420103251934,
-0.033437736332416534,
0.01182442344725132,
0.0028680148534476757,
0.001885882462374866,
-0.03573300316929817,
0.10148989409208298,
0.05887151136994362,
-0.012396263889968395,
0.03314140811562538,
-0.0449819341301918,
-0.02525416761636734,
-0.07657944411039352,
-0.03311392664909363,
-0.03649917244911194,
0.03017420507967472,
0.04657783731818199,
0.02407274767756462,
0.01716332510113716,
0.08719228208065033,
-0.0163015928119421,
0.022087574005126953,
0.0073961373418569565,
0.05310055986046791,
-0.04568903148174286,
0.013456852175295353,
-0.051997121423482895,
0.021939700469374657,
-0.059635356068611145,
-0.13125070929527283,
-0.031475797295570374,
-0.01783360354602337,
-0.04717370495200157,
-0.0163892712444067,
0.02543065696954727,
-0.09990464150905609,
0.007501719053834677,
-0.024175019934773445,
0.015665370970964432,
-0.028257885947823524,
0.06175924465060234,
-0.05480639636516571,
0.009653382003307343,
-0.041412509977817535,
-0.01786092296242714,
-0.008574189618229866,
0.04427211731672287,
0.01935892179608345,
-0.03610493242740631,
0.09811286628246307,
-0.03739218786358833,
0.04031473770737648,
-0.1028614342212677,
-0.009947210550308228,
0.01123505923897028,
-0.009573708288371563,
-0.01445436105132103,
-0.010334388352930546,
-0.03057931736111641,
-0.061383720487356186,
-0.003589035477489233,
0.059165775775909424,
-0.028317803516983986,
0.022010494023561478,
-0.05927648767828941,
-0.023173179477453232,
-0.04539413005113602,
0.0340016670525074,
0.05680258944630623,
-0.00735264178365469,
0.016117939725518227,
0.01828746497631073,
0.014647115021944046,
0.005219026003032923,
-0.05927246809005737,
-0.06584655493497849,
-0.10102154314517975,
0.005410322453826666,
0.061450112611055374,
0.023874718695878983,
0.032591819763183594,
-0.04231329634785652,
0.061262160539627075,
0.007664993871003389,
0.051176171749830246,
-0.0038601423148065805,
-0.02842836081981659,
-0.04332611337304115,
0.037077225744724274,
-0.06033715978264809,
-0.0003190623829141259,
-0.07327830046415329,
-0.01333271898329258,
0.07598493993282318,
-0.0972021222114563,
0.004470263607800007,
0.04610851779580116,
0.007853158749639988,
0.034253377467393875,
-0.011327380314469337,
0.03202221170067787,
0.012371566146612167,
0.028360044583678246,
0.02281809225678444,
0.05850812420248985,
-0.00702675711363554,
-0.0006090162205509841,
1.4559797925559628e-33,
0.06654077023267746,
-0.006919144187122583,
0.0461588054895401,
0.01164238154888153,
-0.010676260106265545,
0.015887869521975517,
0.007091036532074213,
-0.015042496845126152,
0.04615582153201103,
0.05946372449398041,
-0.10342232882976532,
-0.054605260491371155,
0.016878152266144753,
0.05514168366789818,
0.11524156481027603,
0.00433527072891593,
0.03341405466198921,
0.04831875488162041,
-0.018912240862846375,
0.0050018420442938805,
0.01728154346346855,
-0.038263119757175446,
0.013094929046928883,
-0.0725833997130394,
0.001346837729215622,
0.02033732645213604,
0.006332151126116514,
-0.049226559698581696,
-0.0073151253163814545,
0.011172384954988956,
-0.10555694997310638,
0.001286427373997867,
0.05837475135922432,
0.0877213254570961,
-0.02068779617547989,
0.044814690947532654,
-0.11715232580900192,
0.009935423731803894,
-0.07193045318126678,
-0.03758127987384796,
0.06981164216995239,
-0.02845623344182968,
0.0057461559772491455,
0.028072286397218704,
0.031678806990385056,
0.014474042691290379,
-0.07896953821182251,
0.0851249173283577,
-0.044454555958509445,
-0.012158326804637909,
0.028156733140349388,
0.08151467144489288,
-0.06981347501277924,
-0.04589996859431267,
-0.011747075244784355,
0.014837243594229221,
-0.09084155410528183,
0.01207867730408907,
0.03632131963968277,
0.08529999107122421,
-0.009303423576056957,
-0.03800380975008011,
-0.03810740262269974,
0.016097743064165115,
-0.0836174339056015,
-0.0367971733212471,
0.03093881718814373,
-0.08794297277927399,
0.054945506155490875,
-0.017567843198776245,
-0.02620316483080387,
-0.07149841636419296,
-0.007004053797572851,
-0.024210458621382713,
0.0643296167254448,
0.00803444441407919,
0.028960606083273888,
-0.04804836958646774,
0.01813342794775963,
-0.03398936986923218,
-0.06715910136699677,
-0.041184376925230026,
-0.004504703916609287,
-0.18602441251277924,
-0.04008570313453674,
-0.04678880423307419,
0.08883793652057648,
-0.017842087894678116,
0.01735236868262291,
-0.04505747929215431,
-0.045691024512052536,
-0.05198953300714493,
-0.04762260243296623,
0.019248995929956436,
0.0048802015371620655,
-1.8995366064624215e-33,
-0.026852501556277275,
-0.047436509281396866,
0.0053810435347259045,
0.06367228180170059,
-0.015529574826359749,
-0.02419128268957138,
0.01771106943488121,
-0.044952984899282455,
-0.13265906274318695,
-0.07045122236013412,
-0.05060191452503204,
0.02026575431227684,
-0.008993285708129406,
0.020839804783463478,
0.020301930606365204,
0.07660912722349167,
-0.0020330343395471573,
-0.05366551876068115,
-0.09784785658121109,
-0.0074009462259709835,
0.03882305696606636,
-0.030003206804394722,
0.02891940250992775,
0.052557412534952164,
-0.020678425207734108,
0.02630254253745079,
-0.03667134791612625,
-0.005460335873067379,
-0.010580872185528278,
0.04789916053414345,
-0.04074011743068695,
-0.03570767119526863,
-0.12701621651649475,
0.020403755828738213,
0.027401218190789223,
-0.0793895423412323,
0.04545408859848976,
0.04063035547733307,
-0.06821689009666443,
0.0788763016462326,
0.02316948212683201,
0.000010647168892319314,
-0.0729030892252922,
0.1585407555103302,
0.0019734667148441076,
0.04611358791589737,
-0.02192079648375511,
0.020283492282032967,
-0.022425446659326553,
0.007703845854848623,
-0.11311744898557663,
0.02388896234333515,
0.10436250269412994,
0.06643279641866684,
0.043925464153289795,
-0.02437456324696541,
-0.020628543570637703,
0.016336293891072273,
0.08382422477006912,
-0.05234716460108757,
-0.11649715155363083,
0.006280570290982723,
-0.0541393980383873,
0.16102561354637146,
0.11360971629619598,
-0.027431724593043327,
0.07923469692468643,
-0.06493476778268814,
-0.04048025608062744,
0.062379639595746994,
-0.0009206411195918918,
-0.0010809164959937334,
0.025240598246455193,
-0.06882361322641373,
-0.05707455798983574,
0.09580711275339127,
0.05243988707661629,
-0.025479644536972046,
-0.061557330191135406,
0.08012214303016663,
0.013050971552729607,
0.03473692759871483,
0.03231604024767876,
0.0167550016194582,
0.0017414056928828359,
-0.02576700784265995,
0.07013590633869171,
-0.031170714646577835,
0.009475073777139187,
-0.02306511625647545,
0.006574528757482767,
-0.012110961601138115,
0.00009041142038768157,
0.030641430988907814,
0.07707416266202927,
-4.3462961230034125e-8,
-0.02694373019039631,
-0.017121493816375732,
-0.011143290437757969,
-0.024656005203723907,
0.07081612944602966,
-0.09276296943426132,
-0.05388300493359566,
0.13303111493587494,
-0.06920601427555084,
0.07550160586833954,
-0.030567750334739685,
0.000018013379303738475,
-0.017043646425008774,
0.07530877739191055,
0.024784574285149574,
0.0808045044541359,
0.03640947863459587,
0.004142007790505886,
0.038755226880311966,
0.005275723524391651,
-0.06583473086357117,
-0.0043146125972270966,
0.06278625875711441,
0.022291595116257668,
-0.012681554071605206,
-0.033041972666978836,
-0.047338251024484634,
-0.0268606748431921,
0.06702180951833725,
0.05791623145341873,
0.0011166409822180867,
0.024667643010616302,
0.10375187546014786,
0.07404162734746933,
0.023026330396533012,
0.004572744946926832,
-0.04313969239592552,
0.04632769152522087,
-0.04524923115968704,
-0.01295279897749424,
-0.004752611741423607,
-0.011180426925420761,
0.06476617604494095,
-0.06837134063243866,
0.09605885297060013,
0.08829335123300552,
-0.0011573371011763811,
0.03869929909706116,
-0.011879363097250462,
0.021339235827326775,
-0.07642468065023422,
-0.008489764295518398,
0.07963908463716507,
-0.0353667177259922,
-0.0348658487200737,
0.03566933795809746,
-0.01792421191930771,
-0.03985638543963432,
0.09370667487382889,
0.019290421158075333,
-0.047554951161146164,
0.056000590324401855,
-0.02029167115688324,
-0.012666290625929832
] |
1401.0444 | Vincent Wens | Vincent Wens | Investigating complex networks with inverse models: analytical aspects
of spatial leakage and connectivity estimation | 19 pages, 4 figures, including 5 appendices; v2: minor edits, 1
appendix added; v3: expanded version, v4: minor edits | Physical Review E 91, 012823 (2015) | 10.1103/PhysRevE.91.012823 | null | physics.data-an q-bio.NC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Network theory and inverse modeling are two standard tools of applied
physics, whose combination is needed when studying the dynamical organization
of spatially distributed systems from indirect measurements. However, the
associated connectivity estimation may be affected by spatial leakage, an
artifact of inverse modeling that limits the interpretability of network
analysis. This paper investigates general analytical aspects pertaining to this
issue. First, the existence of spatial leakage is derived from the topological
structure of inverse operators. Then, the geometry of spatial leakage is
modeled and used to define a geometric correction scheme, which limits spatial
leakage effects in connectivity estimation. Finally, this new approach for
network analysis is compared analytically to existing methods based on linear
regressions, which are shown to yield biased coupling estimates.
| [
{
"created": "Thu, 2 Jan 2014 14:09:31 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jan 2014 08:16:56 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2014 17:36:40 GMT",
"version": "v3"
},
{
"created": "Thu, 29 Jan 2015 13:37:24 GMT",
"version": "v4"
}
] | 2015-01-30 | [
[
"Wens",
"Vincent",
""
]
] | [
-0.008772479370236397,
-0.07530998438596725,
0.1102212592959404,
0.09208235889673233,
-0.00794874969869852,
-0.08243857324123383,
-0.013523850589990616,
-0.01107051782310009,
0.10375461727380753,
0.023190869018435478,
-0.009693820029497147,
0.058779921382665634,
0.016653018072247505,
0.009220891632139683,
-0.040625251829624176,
-0.06154144927859306,
0.013140450231730938,
-0.007143269293010235,
-0.015899162739515305,
-0.0861114114522934,
0.0049113500863313675,
0.004330286290496588,
-0.1416849046945572,
-0.029737960547208786,
0.10525808483362198,
-0.05172618478536606,
0.04582986608147621,
-0.026305820792913437,
-0.07018443942070007,
-0.014198936522006989,
0.030966825783252716,
0.008991734124720097,
-0.05394735187292099,
-0.048245251178741455,
-0.03805496171116829,
0.0003541756304912269,
0.03875119239091873,
0.03730284795165062,
0.060084111988544464,
0.04617252200841904,
0.056951433420181274,
0.10836666077375412,
0.06007963791489601,
0.0806279331445694,
-0.022931478917598724,
-0.02519967406988144,
-0.013429922983050346,
-0.03592739254236221,
-0.07262425124645233,
0.029056569561362267,
-0.05323602631688118,
0.0483093187212944,
-0.040838856250047684,
0.02239718660712242,
0.043951310217380524,
-0.018620233982801437,
0.03771601617336273,
0.028146402910351753,
-0.060204800218343735,
0.09220779687166214,
0.11720777302980423,
-0.054045625030994415,
-0.09390643239021301,
0.007553931325674057,
0.08688075095415115,
0.07985980808734894,
0.014685123227536678,
0.06209801882505417,
-0.015551965683698654,
0.032747913151979446,
-0.03674807399511337,
0.034172073006629944,
-0.10821530967950821,
-0.09687382727861404,
0.0883261188864708,
0.0032361499033868313,
-0.03352244198322296,
0.05492297559976578,
0.0330679714679718,
-0.07580046355724335,
0.08880496025085449,
0.04091023653745651,
0.00932386890053749,
-0.07263708859682083,
0.0828036218881607,
0.012294033542275429,
-0.009762142784893513,
-0.033624690026044846,
-0.004018696490675211,
-0.019385166466236115,
-0.033460285514593124,
0.011338647454977036,
-0.035191845148801804,
0.012875791639089584,
0.03711947798728943,
-0.00467814551666379,
0.025368062779307365,
-0.07942038029432297,
0.06202023848891258,
0.05922909826040268,
-0.012056510895490646,
-0.007430780678987503,
0.010444342158734798,
0.03324520215392113,
0.001268281601369381,
0.037225089967250824,
0.04352312535047531,
0.0007228430476970971,
0.022067125886678696,
0.04129458963871002,
0.030841238796710968,
-0.04679407179355621,
-0.009111390449106693,
0.037582140415906906,
-0.0420924574136734,
-0.08412053436040878,
0.036908894777297974,
0.035564761608839035,
0.004650206305086613,
-0.001958979293704033,
-0.06490177661180496,
-0.04987276718020439,
0.012546954676508904,
-0.03525517135858536,
0.08038315922021866,
0.03475513309240341,
-0.026001838967204094,
9.598745240769092e-34,
-0.0680207908153534,
-0.015371990390121937,
-0.006168905645608902,
0.031439609825611115,
0.029133878648281097,
-0.03806005045771599,
-0.030031535774469376,
-0.049673594534397125,
0.10015085339546204,
0.057822056114673615,
-0.0954337865114212,
0.06853997707366943,
-0.051955390721559525,
-0.007763762027025223,
0.03398342430591583,
0.10252992808818817,
0.11840365827083588,
0.07877224683761597,
-0.01993085816502571,
-0.042301785200834274,
-0.024251610040664673,
-0.06551655381917953,
-0.06181160360574722,
-0.055455852299928665,
0.010899514891207218,
-0.08811318874359131,
-0.05753565579652786,
0.0070028663612902164,
-0.07843233644962311,
0.0048191905952990055,
-0.05681861191987991,
0.1286938339471817,
0.03341833874583244,
0.0449606217443943,
-0.04468106850981712,
0.001090585719794035,
0.03616590425372124,
-0.03782806545495987,
-0.043660592287778854,
-0.04601370915770531,
0.00958739873021841,
0.020732184872031212,
-0.013654869981110096,
-0.022831672802567482,
-0.004511277657002211,
-0.0833178237080574,
-0.04156270995736122,
-0.016387326642870903,
0.03288886696100235,
-0.012606124393641949,
-0.05272446572780609,
-0.02032320201396942,
-0.03421318903565407,
0.021514883264899254,
-0.016361895948648453,
0.021489962935447693,
-0.023288754746317863,
0.04401925578713417,
0.10622360557317734,
0.1458567976951599,
-0.005584425758570433,
0.022069789469242096,
0.023867415264248848,
-0.04357388988137245,
0.09664379805326462,
0.017078176140785217,
0.007201886735856533,
-0.06512371450662613,
0.045574601739645004,
0.03224401921033859,
0.010850230231881142,
0.0733480378985405,
-0.04360930994153023,
0.031300440430641174,
-0.056014399975538254,
-0.021700134500861168,
-0.12436430156230927,
-0.017606079578399658,
0.035115573555231094,
0.011115596629679203,
-0.01785842701792717,
-0.044414181262254715,
-0.013171009719371796,
0.04404985532164574,
-0.051932234317064285,
-0.04003153368830681,
0.05655096471309662,
-0.0009647383121773601,
-0.0650341585278511,
0.04485130310058594,
-0.047161735594272614,
0.03153863921761513,
0.014269226230680943,
0.05341494828462601,
0.04316794499754906,
-1.772860743443004e-33,
-0.08074827492237091,
0.07772514969110489,
0.05253230780363083,
-0.04451237991452217,
-0.018617503345012665,
-0.0192183256149292,
0.0065480382181704044,
-0.005718681961297989,
-0.0008169807260856032,
-0.02470826730132103,
-0.029293041676282883,
0.033640723675489426,
-0.026766249909996986,
0.059661827981472015,
0.07652638107538223,
0.006588426418602467,
0.06589554250240326,
-0.0788532942533493,
0.014363466762006283,
-0.025869663804769516,
0.008648036047816277,
-0.036084942519664764,
0.02752404473721981,
-0.026223454624414444,
0.028386510908603668,
-0.028064044192433357,
-0.013242146000266075,
0.029099443927407265,
-0.017400221899151802,
0.048791103065013885,
-0.1124115139245987,
0.056969933211803436,
-0.041111141443252563,
0.006659233011305332,
0.0027414150536060333,
0.1131184846162796,
-0.047055233269929886,
-0.02590297721326351,
-0.022848092019557953,
-0.04871367663145065,
-0.0016033615684136748,
0.017043497413396835,
-0.11067131906747818,
-0.011334249749779701,
0.03728136420249939,
-0.07579401135444641,
0.022360367700457573,
0.04291567951440811,
-0.05973421037197113,
-0.03096824698150158,
-0.0001991657045437023,
0.06435662508010864,
-0.010065832175314426,
0.009253143332898617,
-0.05021999776363373,
0.09925896674394608,
0.026875214651226997,
0.04502813518047333,
0.04832393303513527,
0.06268591433763504,
-0.013955015689134598,
-0.12619531154632568,
0.004845999181270599,
0.06643727421760559,
-0.018796583637595177,
0.08081015199422836,
0.015319631434977055,
-0.04583202674984932,
0.015210219658911228,
0.10447479784488678,
0.032540012151002884,
-0.006448756903409958,
0.005991572048515081,
0.029352260753512383,
0.027734192088246346,
-0.060884274542331696,
-0.020742636173963547,
0.043126367032527924,
-0.020440271124243736,
0.05011342465877533,
0.024286020547151566,
0.06263227760791779,
-0.037044230848550797,
-0.028129808604717255,
-0.01122364029288292,
-0.05501086637377739,
0.041573792695999146,
-0.04684340953826904,
-0.014303269796073437,
0.0073195695877075195,
-0.0053451042622327805,
-0.030294176191091537,
-0.0765346959233284,
-0.05596750229597092,
-0.016147829592227936,
-3.9725986056282636e-8,
-0.09464160352945328,
0.018427804112434387,
0.08224467188119888,
0.04271073266863823,
-0.005453880410641432,
-0.018471676856279373,
0.10085240006446838,
0.01990416646003723,
-0.0061881570145487785,
0.03808857128024101,
0.009106704965233803,
-0.033481936901807785,
-0.010599165223538876,
0.01034155860543251,
-0.035286568105220795,
-0.002249708166345954,
0.013623432256281376,
0.017478983849287033,
-0.04557294771075249,
0.0358874537050724,
0.026115860790014267,
0.018723653629422188,
0.004230136051774025,
-0.009333133697509766,
0.09432583302259445,
-0.07533927261829376,
-0.0620712973177433,
0.010483006946742535,
0.0029159386176615953,
0.00671052560210228,
0.02922568842768669,
-0.001192998606711626,
0.017039529979228973,
0.0813651829957962,
-0.07122316211462021,
0.09480281919240952,
0.028040437027812004,
0.033918436616659164,
-0.04669502004981041,
0.015496493317186832,
-0.08116573095321655,
0.001168617745861411,
0.048019688576459885,
0.03578184172511101,
0.05928672105073929,
0.060181841254234314,
0.12435002624988556,
0.04778214171528816,
-0.020560406148433685,
-0.1079740822315216,
0.006952083203941584,
0.003109942888841033,
-0.07440651953220367,
-0.05677502974867821,
0.012810631655156612,
-0.03305371478199959,
0.013080978766083717,
0.017800932750105858,
0.023554841056466103,
0.03707941249012947,
-0.08797626197338104,
0.0065285926684737206,
-0.08753061294555664,
-0.121921606361866
] | null | null | null | null | null | null | null | [
-0.008772479370236397,
-0.07530998438596725,
0.1102212592959404,
0.09208235889673233,
-0.00794874969869852,
-0.08243857324123383,
-0.013523850589990616,
-0.01107051782310009,
0.10375461727380753,
0.023190869018435478,
-0.009693820029497147,
0.058779921382665634,
0.016653018072247505,
0.009220891632139683,
-0.040625251829624176,
-0.06154144927859306,
0.013140450231730938,
-0.007143269293010235,
-0.015899162739515305,
-0.0861114114522934,
0.0049113500863313675,
0.004330286290496588,
-0.1416849046945572,
-0.029737960547208786,
0.10525808483362198,
-0.05172618478536606,
0.04582986608147621,
-0.026305820792913437,
-0.07018443942070007,
-0.014198936522006989,
0.030966825783252716,
0.008991734124720097,
-0.05394735187292099,
-0.048245251178741455,
-0.03805496171116829,
0.0003541756304912269,
0.03875119239091873,
0.03730284795165062,
0.060084111988544464,
0.04617252200841904,
0.056951433420181274,
0.10836666077375412,
0.06007963791489601,
0.0806279331445694,
-0.022931478917598724,
-0.02519967406988144,
-0.013429922983050346,
-0.03592739254236221,
-0.07262425124645233,
0.029056569561362267,
-0.05323602631688118,
0.0483093187212944,
-0.040838856250047684,
0.02239718660712242,
0.043951310217380524,
-0.018620233982801437,
0.03771601617336273,
0.028146402910351753,
-0.060204800218343735,
0.09220779687166214,
0.11720777302980423,
-0.054045625030994415,
-0.09390643239021301,
0.007553931325674057,
0.08688075095415115,
0.07985980808734894,
0.014685123227536678,
0.06209801882505417,
-0.015551965683698654,
0.032747913151979446,
-0.03674807399511337,
0.034172073006629944,
-0.10821530967950821,
-0.09687382727861404,
0.0883261188864708,
0.0032361499033868313,
-0.03352244198322296,
0.05492297559976578,
0.0330679714679718,
-0.07580046355724335,
0.08880496025085449,
0.04091023653745651,
0.00932386890053749,
-0.07263708859682083,
0.0828036218881607,
0.012294033542275429,
-0.009762142784893513,
-0.033624690026044846,
-0.004018696490675211,
-0.019385166466236115,
-0.033460285514593124,
0.011338647454977036,
-0.035191845148801804,
0.012875791639089584,
0.03711947798728943,
-0.00467814551666379,
0.025368062779307365,
-0.07942038029432297,
0.06202023848891258,
0.05922909826040268,
-0.012056510895490646,
-0.007430780678987503,
0.010444342158734798,
0.03324520215392113,
0.001268281601369381,
0.037225089967250824,
0.04352312535047531,
0.0007228430476970971,
0.022067125886678696,
0.04129458963871002,
0.030841238796710968,
-0.04679407179355621,
-0.009111390449106693,
0.037582140415906906,
-0.0420924574136734,
-0.08412053436040878,
0.036908894777297974,
0.035564761608839035,
0.004650206305086613,
-0.001958979293704033,
-0.06490177661180496,
-0.04987276718020439,
0.012546954676508904,
-0.03525517135858536,
0.08038315922021866,
0.03475513309240341,
-0.026001838967204094,
9.598745240769092e-34,
-0.0680207908153534,
-0.015371990390121937,
-0.006168905645608902,
0.031439609825611115,
0.029133878648281097,
-0.03806005045771599,
-0.030031535774469376,
-0.049673594534397125,
0.10015085339546204,
0.057822056114673615,
-0.0954337865114212,
0.06853997707366943,
-0.051955390721559525,
-0.007763762027025223,
0.03398342430591583,
0.10252992808818817,
0.11840365827083588,
0.07877224683761597,
-0.01993085816502571,
-0.042301785200834274,
-0.024251610040664673,
-0.06551655381917953,
-0.06181160360574722,
-0.055455852299928665,
0.010899514891207218,
-0.08811318874359131,
-0.05753565579652786,
0.0070028663612902164,
-0.07843233644962311,
0.0048191905952990055,
-0.05681861191987991,
0.1286938339471817,
0.03341833874583244,
0.0449606217443943,
-0.04468106850981712,
0.001090585719794035,
0.03616590425372124,
-0.03782806545495987,
-0.043660592287778854,
-0.04601370915770531,
0.00958739873021841,
0.020732184872031212,
-0.013654869981110096,
-0.022831672802567482,
-0.004511277657002211,
-0.0833178237080574,
-0.04156270995736122,
-0.016387326642870903,
0.03288886696100235,
-0.012606124393641949,
-0.05272446572780609,
-0.02032320201396942,
-0.03421318903565407,
0.021514883264899254,
-0.016361895948648453,
0.021489962935447693,
-0.023288754746317863,
0.04401925578713417,
0.10622360557317734,
0.1458567976951599,
-0.005584425758570433,
0.022069789469242096,
0.023867415264248848,
-0.04357388988137245,
0.09664379805326462,
0.017078176140785217,
0.007201886735856533,
-0.06512371450662613,
0.045574601739645004,
0.03224401921033859,
0.010850230231881142,
0.0733480378985405,
-0.04360930994153023,
0.031300440430641174,
-0.056014399975538254,
-0.021700134500861168,
-0.12436430156230927,
-0.017606079578399658,
0.035115573555231094,
0.011115596629679203,
-0.01785842701792717,
-0.044414181262254715,
-0.013171009719371796,
0.04404985532164574,
-0.051932234317064285,
-0.04003153368830681,
0.05655096471309662,
-0.0009647383121773601,
-0.0650341585278511,
0.04485130310058594,
-0.047161735594272614,
0.03153863921761513,
0.014269226230680943,
0.05341494828462601,
0.04316794499754906,
-1.772860743443004e-33,
-0.08074827492237091,
0.07772514969110489,
0.05253230780363083,
-0.04451237991452217,
-0.018617503345012665,
-0.0192183256149292,
0.0065480382181704044,
-0.005718681961297989,
-0.0008169807260856032,
-0.02470826730132103,
-0.029293041676282883,
0.033640723675489426,
-0.026766249909996986,
0.059661827981472015,
0.07652638107538223,
0.006588426418602467,
0.06589554250240326,
-0.0788532942533493,
0.014363466762006283,
-0.025869663804769516,
0.008648036047816277,
-0.036084942519664764,
0.02752404473721981,
-0.026223454624414444,
0.028386510908603668,
-0.028064044192433357,
-0.013242146000266075,
0.029099443927407265,
-0.017400221899151802,
0.048791103065013885,
-0.1124115139245987,
0.056969933211803436,
-0.041111141443252563,
0.006659233011305332,
0.0027414150536060333,
0.1131184846162796,
-0.047055233269929886,
-0.02590297721326351,
-0.022848092019557953,
-0.04871367663145065,
-0.0016033615684136748,
0.017043497413396835,
-0.11067131906747818,
-0.011334249749779701,
0.03728136420249939,
-0.07579401135444641,
0.022360367700457573,
0.04291567951440811,
-0.05973421037197113,
-0.03096824698150158,
-0.0001991657045437023,
0.06435662508010864,
-0.010065832175314426,
0.009253143332898617,
-0.05021999776363373,
0.09925896674394608,
0.026875214651226997,
0.04502813518047333,
0.04832393303513527,
0.06268591433763504,
-0.013955015689134598,
-0.12619531154632568,
0.004845999181270599,
0.06643727421760559,
-0.018796583637595177,
0.08081015199422836,
0.015319631434977055,
-0.04583202674984932,
0.015210219658911228,
0.10447479784488678,
0.032540012151002884,
-0.006448756903409958,
0.005991572048515081,
0.029352260753512383,
0.027734192088246346,
-0.060884274542331696,
-0.020742636173963547,
0.043126367032527924,
-0.020440271124243736,
0.05011342465877533,
0.024286020547151566,
0.06263227760791779,
-0.037044230848550797,
-0.028129808604717255,
-0.01122364029288292,
-0.05501086637377739,
0.041573792695999146,
-0.04684340953826904,
-0.014303269796073437,
0.0073195695877075195,
-0.0053451042622327805,
-0.030294176191091537,
-0.0765346959233284,
-0.05596750229597092,
-0.016147829592227936,
-3.9725986056282636e-8,
-0.09464160352945328,
0.018427804112434387,
0.08224467188119888,
0.04271073266863823,
-0.005453880410641432,
-0.018471676856279373,
0.10085240006446838,
0.01990416646003723,
-0.0061881570145487785,
0.03808857128024101,
0.009106704965233803,
-0.033481936901807785,
-0.010599165223538876,
0.01034155860543251,
-0.035286568105220795,
-0.002249708166345954,
0.013623432256281376,
0.017478983849287033,
-0.04557294771075249,
0.0358874537050724,
0.026115860790014267,
0.018723653629422188,
0.004230136051774025,
-0.009333133697509766,
0.09432583302259445,
-0.07533927261829376,
-0.0620712973177433,
0.010483006946742535,
0.0029159386176615953,
0.00671052560210228,
0.02922568842768669,
-0.001192998606711626,
0.017039529979228973,
0.0813651829957962,
-0.07122316211462021,
0.09480281919240952,
0.028040437027812004,
0.033918436616659164,
-0.04669502004981041,
0.015496493317186832,
-0.08116573095321655,
0.001168617745861411,
0.048019688576459885,
0.03578184172511101,
0.05928672105073929,
0.060181841254234314,
0.12435002624988556,
0.04778214171528816,
-0.020560406148433685,
-0.1079740822315216,
0.006952083203941584,
0.003109942888841033,
-0.07440651953220367,
-0.05677502974867821,
0.012810631655156612,
-0.03305371478199959,
0.013080978766083717,
0.017800932750105858,
0.023554841056466103,
0.03707941249012947,
-0.08797626197338104,
0.0065285926684737206,
-0.08753061294555664,
-0.121921606361866
] |
1401.0445 | Siva ANANTHARAMAN | Siva Anantharaman (LIFO, Universite d'Orleans (France)), Christopher
Bouchard (University at Albany - SUNY), Paliath Narendran (University at
Albany - SUNY), Micha\"el Rusinowitch (Loria-INRIA Grand Est, Nancy (France)) | Unification modulo a 2-sorted Equational theory for Cipher-Decipher
Block Chaining | 26 pages | Logical Methods in Computer Science, Volume 10, Issue 1 (February
9, 2014) lmcs:808 | 10.2168/LMCS-10(1:5)2014 | null | cs.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate unification problems related to the Cipher Block Chaining
(CBC) mode of encryption. We first model chaining in terms of a simple,
convergent, rewrite system over a signature with two disjoint sorts: list and
element. By interpreting a particular symbol of this signature suitably, the
rewrite system can model several practical situations of interest. An inference
procedure is presented for deciding the unification problem modulo this rewrite
system. The procedure is modular in the following sense: any given problem is
handled by a system of `list-inferences', and the set of equations thus derived
between the element-terms of the problem is then handed over to any
(`black-box') procedure which is complete for solving these element-equations.
An example of application of this unification procedure is given, as attack
detection on a Needham-Schroeder like protocol, employing the CBC encryption
mode based on the associative-commutative (AC) operator XOR. The 2-sorted
convergent rewrite system is then extended into one that fully captures a block
chaining encryption-decryption mode at an abstract level, using no AC-symbols;
and unification modulo this extended system is also shown to be decidable.
| [
{
"created": "Thu, 2 Jan 2014 14:17:55 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2014 21:35:17 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Feb 2014 13:14:05 GMT",
"version": "v3"
}
] | 2015-07-01 | [
[
"Anantharaman",
"Siva",
"",
"LIFO, Universite d'Orleans"
],
[
"Bouchard",
"Christopher",
"",
"University at Albany - SUNY"
],
[
"Narendran",
"Paliath",
"",
"University at\n Albany - SUNY"
],
[
"Rusinowitch",
"Michaël",
"",
"Loria-INRIA Grand Est, Nancy"
]
] | [
-0.11398223787546158,
0.07309142500162125,
0.018576549366116524,
-0.0003994382859673351,
-0.04731832817196846,
-0.057239364832639694,
-0.01764705963432789,
-0.008745040744543076,
0.018237940967082977,
-0.030623603612184525,
-0.0017419009236618876,
-0.015762189403176308,
0.07158627361059189,
0.004680913407355547,
0.04949453845620155,
-0.012567207217216492,
-0.060397207736968994,
0.08577334880828857,
-0.05894264951348305,
-0.009146984666585922,
0.01829582266509533,
0.01179500762373209,
-0.10051660239696503,
0.012904596514999866,
-0.03154939040541649,
0.06147013232111931,
0.02179429493844509,
-0.03174297884106636,
-0.022293105721473694,
-0.008961322717368603,
0.0031965814996510744,
-0.006014041602611542,
-0.02814473956823349,
0.032677244395017624,
0.008213331922888756,
0.08286654204130173,
0.04575144872069359,
-0.00032009268761612475,
-0.03279462084174156,
-0.023464033380150795,
-0.10900446027517319,
0.0340128168463707,
-0.058904826641082764,
0.01471165381371975,
-0.029903721064329147,
0.03600762411952019,
0.024653034284710884,
0.08042364567518234,
-0.10692016780376434,
-0.040892861783504486,
-0.014139825478196144,
0.008599449880421162,
-0.1000649482011795,
0.03030463494360447,
0.04491646960377693,
-0.05479353293776512,
-0.10852543264627457,
0.003859943710267544,
-0.0014463586267083883,
-0.0698932483792305,
-0.03818240389227867,
0.04498819261789322,
-0.02547299861907959,
0.035509124398231506,
0.025661438703536987,
0.009131251834332943,
0.02670721709728241,
0.001954721985384822,
0.029518045485019684,
0.07710282504558563,
-0.0029620840214192867,
-0.009645863436162472,
-0.039230603724718094,
0.004823356866836548,
-0.021386804059147835,
0.04614095762372017,
-0.03454625979065895,
-0.020627032965421677,
-0.07945374399423599,
0.017086582258343697,
-0.004477248527109623,
0.00894987490028143,
-0.011702963151037693,
-0.01120777614414692,
0.10411771386861801,
0.00002017926817643456,
-0.043893441557884216,
0.01790381409227848,
0.02260453626513481,
0.05564587190747261,
-0.04256580397486687,
-0.04190767556428909,
0.07206340879201889,
0.019919676706194878,
0.09647408872842789,
-0.0026168248150497675,
0.07699543982744217,
0.016173694282770157,
-0.0025557451881468296,
0.08456776291131973,
-0.03733545541763306,
0.035751692950725555,
0.01213790662586689,
-0.13642753660678864,
0.08037077635526657,
-0.004056435078382492,
-0.007716621272265911,
-0.029424438253045082,
-0.0520220547914505,
-0.08650964498519897,
0.013564692810177803,
-0.06617303937673569,
-0.014278504997491837,
-0.0696859061717987,
-0.03577452525496483,
-0.02439327910542488,
0.01590748503804207,
0.0487130805850029,
0.027254870161414146,
-0.03534775599837303,
0.09250426292419434,
-0.03340080752968788,
0.05556730926036835,
0.0456201434135437,
0.06777317821979523,
-0.03898679092526436,
-0.05785712972283363,
3.274509960896351e-33,
-0.04588477686047554,
0.03992558270692825,
-0.025353876873850822,
0.038977935910224915,
0.034030765295028687,
0.04070388898253441,
0.06471826881170273,
0.08564242720603943,
-0.061847686767578125,
0.06530053168535233,
0.047813691198825836,
0.02296021766960621,
0.035720523446798325,
0.008157097734510899,
0.027926718816161156,
0.036438584327697754,
0.0390215702354908,
-0.014010761864483356,
-0.014184067025780678,
0.011171701364219189,
0.08079899847507477,
0.0627315416932106,
0.006560441106557846,
0.011199017986655235,
-0.03075365535914898,
-0.03968025743961334,
0.028979206457734108,
-0.04297783970832825,
-0.00048066742601804435,
-0.02353852428495884,
-0.010198976844549179,
-0.006958005018532276,
0.01842576451599598,
0.07026171684265137,
0.006322373170405626,
0.055518679320812225,
0.08640272915363312,
-0.1203966736793518,
-0.03664568066596985,
-0.05730890855193138,
0.01064284797757864,
-0.018936138600111008,
-0.05962275341153145,
-0.06868602335453033,
0.034779299050569534,
-0.015352403745055199,
-0.06976395845413208,
-0.017139673233032227,
0.045722346752882004,
-0.04583892971277237,
0.04048825427889824,
0.02047550305724144,
-0.003636574372649193,
-0.10557247698307037,
-0.054758768528699875,
-0.09374669194221497,
-0.08314834535121918,
0.07859904319047928,
0.01910540461540222,
0.1440390795469284,
-0.07725577801465988,
0.0018338754307478666,
0.015491635538637638,
-0.013806655071675777,
-0.042358506470918655,
-0.019055891782045364,
-0.072128526866436,
-0.04761696606874466,
0.030181309208273888,
0.026313791051506996,
-0.07451153546571732,
0.015239843167364597,
-0.011147775687277317,
0.06180589646100998,
0.06534219533205032,
0.014254933223128319,
-0.06219513714313507,
-0.03601919859647751,
0.08089692145586014,
-0.08726843446493149,
-0.026309126988053322,
0.06393083184957504,
0.07510320842266083,
0.13662004470825195,
-0.013810223899781704,
-0.034907277673482895,
-0.07474615424871445,
0.04076600447297096,
-0.047413941472768784,
-0.08244077861309052,
-0.0467807874083519,
-0.0378975085914135,
0.05529474839568138,
-0.006505719386041164,
0.08484123647212982,
-4.768740339628071e-33,
0.012951768934726715,
-0.060315001755952835,
-0.0445367768406868,
0.05825817957520485,
-0.05364423990249634,
-0.07792888581752777,
-0.010540762916207314,
-0.06595541536808014,
0.03803914412856102,
-0.06901919841766357,
0.009102304466068745,
-0.01661788858473301,
0.06891748309135437,
0.005534070543944836,
0.01451252494007349,
-0.013477629981935024,
-0.0606832280755043,
-0.0065725427120924,
-0.0012052977690473199,
0.04365123435854912,
-0.012187168933451176,
0.015269865281879902,
-0.00040304893627762794,
-0.031480822712183,
0.06443046778440475,
0.05976134166121483,
-0.011084052734076977,
0.11520955711603165,
0.14466151595115662,
0.02493136189877987,
-0.01875254511833191,
-0.05575994774699211,
0.03242400288581848,
-0.04156428202986717,
-0.05358022823929787,
0.03493666276335716,
0.014598163776099682,
0.08339273184537888,
-0.00964052602648735,
0.01902664266526699,
0.04742587357759476,
-0.03956565260887146,
-0.016965650022029877,
0.010971187613904476,
0.06107015535235405,
-0.039691437035799026,
0.04420255497097969,
0.08367554843425751,
0.0462694950401783,
-0.050771038979291916,
0.08613142371177673,
0.00009079294977709651,
-0.011242466047406197,
-0.024142786860466003,
0.0470699779689312,
0.07131423056125641,
0.012614031322300434,
-0.010066690854728222,
0.02432706207036972,
-0.009353458881378174,
0.020230267196893692,
-0.01622874289751053,
0.11916854977607727,
0.029674438759684563,
0.08162783086299896,
-0.03938594460487366,
-0.06961572170257568,
-0.03577155992388725,
-0.0261368490755558,
-0.026867801323533058,
0.024385079741477966,
-0.08642281591892242,
-0.05030570924282074,
-0.018186252564191818,
0.0746903270483017,
-0.11909390985965729,
0.05556340515613556,
-0.08444157987833023,
0.048889871686697006,
0.0291387178003788,
-0.03467295691370964,
-0.049694646149873734,
-0.004021690227091312,
0.055715467780828476,
0.048160020262002945,
-0.03934920206665993,
0.07697959244251251,
0.022114768624305725,
0.02752719819545746,
0.01407482661306858,
-0.06127580627799034,
0.04015861824154854,
0.04755828157067299,
0.05630333349108696,
0.007433884311467409,
-5.301788164047139e-8,
-0.041122663766145706,
-0.07277414202690125,
-0.07456549257040024,
-0.049374859780073166,
0.10095036774873734,
-0.0007995807100087404,
-0.04298001527786255,
-0.06644611805677414,
0.015259255655109882,
-0.11076013743877411,
0.10249913483858109,
0.007833362556993961,
-0.05166323855519295,
-0.07260308414697647,
-0.043119966983795166,
0.06144467368721962,
-0.016688410192728043,
-0.09443362057209015,
-0.05770828574895859,
-0.0478782095015049,
-0.07069838047027588,
-0.04163811355829239,
-0.07223246246576309,
0.02352660521864891,
0.07245498150587082,
-0.0025223796255886555,
0.006826059892773628,
0.05147979408502579,
0.04157007858157158,
0.08517082035541534,
-0.07296217232942581,
-0.026385515928268433,
0.07165320962667465,
0.038361404091119766,
-0.009369955398142338,
0.03362277150154114,
-0.03568585589528084,
0.02988661639392376,
0.05283612385392189,
-0.08560673147439957,
0.01022712979465723,
0.013398213312029839,
-0.014301177114248276,
0.05798571929335594,
0.06920884549617767,
-0.07494987547397614,
-0.0025792408268898726,
-0.041823603212833405,
-0.03847894445061684,
0.02165248431265354,
-0.015280569903552532,
0.03990548104047775,
0.010922604240477085,
0.002930770395323634,
-0.01419166848063469,
0.04898090660572052,
-0.0028964639641344547,
-0.03422010317444801,
0.029661934822797775,
0.02864057570695877,
0.0544913113117218,
-0.009072293527424335,
0.05291815847158432,
-0.021133968606591225
] | null | null | null | null | null | null | null | [
-0.11398223787546158,
0.07309142500162125,
0.018576549366116524,
-0.0003994382859673351,
-0.04731832817196846,
-0.057239364832639694,
-0.01764705963432789,
-0.008745040744543076,
0.018237940967082977,
-0.030623603612184525,
-0.0017419009236618876,
-0.015762189403176308,
0.07158627361059189,
0.004680913407355547,
0.04949453845620155,
-0.012567207217216492,
-0.060397207736968994,
0.08577334880828857,
-0.05894264951348305,
-0.009146984666585922,
0.01829582266509533,
0.01179500762373209,
-0.10051660239696503,
0.012904596514999866,
-0.03154939040541649,
0.06147013232111931,
0.02179429493844509,
-0.03174297884106636,
-0.022293105721473694,
-0.008961322717368603,
0.0031965814996510744,
-0.006014041602611542,
-0.02814473956823349,
0.032677244395017624,
0.008213331922888756,
0.08286654204130173,
0.04575144872069359,
-0.00032009268761612475,
-0.03279462084174156,
-0.023464033380150795,
-0.10900446027517319,
0.0340128168463707,
-0.058904826641082764,
0.01471165381371975,
-0.029903721064329147,
0.03600762411952019,
0.024653034284710884,
0.08042364567518234,
-0.10692016780376434,
-0.040892861783504486,
-0.014139825478196144,
0.008599449880421162,
-0.1000649482011795,
0.03030463494360447,
0.04491646960377693,
-0.05479353293776512,
-0.10852543264627457,
0.003859943710267544,
-0.0014463586267083883,
-0.0698932483792305,
-0.03818240389227867,
0.04498819261789322,
-0.02547299861907959,
0.035509124398231506,
0.025661438703536987,
0.009131251834332943,
0.02670721709728241,
0.001954721985384822,
0.029518045485019684,
0.07710282504558563,
-0.0029620840214192867,
-0.009645863436162472,
-0.039230603724718094,
0.004823356866836548,
-0.021386804059147835,
0.04614095762372017,
-0.03454625979065895,
-0.020627032965421677,
-0.07945374399423599,
0.017086582258343697,
-0.004477248527109623,
0.00894987490028143,
-0.011702963151037693,
-0.01120777614414692,
0.10411771386861801,
0.00002017926817643456,
-0.043893441557884216,
0.01790381409227848,
0.02260453626513481,
0.05564587190747261,
-0.04256580397486687,
-0.04190767556428909,
0.07206340879201889,
0.019919676706194878,
0.09647408872842789,
-0.0026168248150497675,
0.07699543982744217,
0.016173694282770157,
-0.0025557451881468296,
0.08456776291131973,
-0.03733545541763306,
0.035751692950725555,
0.01213790662586689,
-0.13642753660678864,
0.08037077635526657,
-0.004056435078382492,
-0.007716621272265911,
-0.029424438253045082,
-0.0520220547914505,
-0.08650964498519897,
0.013564692810177803,
-0.06617303937673569,
-0.014278504997491837,
-0.0696859061717987,
-0.03577452525496483,
-0.02439327910542488,
0.01590748503804207,
0.0487130805850029,
0.027254870161414146,
-0.03534775599837303,
0.09250426292419434,
-0.03340080752968788,
0.05556730926036835,
0.0456201434135437,
0.06777317821979523,
-0.03898679092526436,
-0.05785712972283363,
3.274509960896351e-33,
-0.04588477686047554,
0.03992558270692825,
-0.025353876873850822,
0.038977935910224915,
0.034030765295028687,
0.04070388898253441,
0.06471826881170273,
0.08564242720603943,
-0.061847686767578125,
0.06530053168535233,
0.047813691198825836,
0.02296021766960621,
0.035720523446798325,
0.008157097734510899,
0.027926718816161156,
0.036438584327697754,
0.0390215702354908,
-0.014010761864483356,
-0.014184067025780678,
0.011171701364219189,
0.08079899847507477,
0.0627315416932106,
0.006560441106557846,
0.011199017986655235,
-0.03075365535914898,
-0.03968025743961334,
0.028979206457734108,
-0.04297783970832825,
-0.00048066742601804435,
-0.02353852428495884,
-0.010198976844549179,
-0.006958005018532276,
0.01842576451599598,
0.07026171684265137,
0.006322373170405626,
0.055518679320812225,
0.08640272915363312,
-0.1203966736793518,
-0.03664568066596985,
-0.05730890855193138,
0.01064284797757864,
-0.018936138600111008,
-0.05962275341153145,
-0.06868602335453033,
0.034779299050569534,
-0.015352403745055199,
-0.06976395845413208,
-0.017139673233032227,
0.045722346752882004,
-0.04583892971277237,
0.04048825427889824,
0.02047550305724144,
-0.003636574372649193,
-0.10557247698307037,
-0.054758768528699875,
-0.09374669194221497,
-0.08314834535121918,
0.07859904319047928,
0.01910540461540222,
0.1440390795469284,
-0.07725577801465988,
0.0018338754307478666,
0.015491635538637638,
-0.013806655071675777,
-0.042358506470918655,
-0.019055891782045364,
-0.072128526866436,
-0.04761696606874466,
0.030181309208273888,
0.026313791051506996,
-0.07451153546571732,
0.015239843167364597,
-0.011147775687277317,
0.06180589646100998,
0.06534219533205032,
0.014254933223128319,
-0.06219513714313507,
-0.03601919859647751,
0.08089692145586014,
-0.08726843446493149,
-0.026309126988053322,
0.06393083184957504,
0.07510320842266083,
0.13662004470825195,
-0.013810223899781704,
-0.034907277673482895,
-0.07474615424871445,
0.04076600447297096,
-0.047413941472768784,
-0.08244077861309052,
-0.0467807874083519,
-0.0378975085914135,
0.05529474839568138,
-0.006505719386041164,
0.08484123647212982,
-4.768740339628071e-33,
0.012951768934726715,
-0.060315001755952835,
-0.0445367768406868,
0.05825817957520485,
-0.05364423990249634,
-0.07792888581752777,
-0.010540762916207314,
-0.06595541536808014,
0.03803914412856102,
-0.06901919841766357,
0.009102304466068745,
-0.01661788858473301,
0.06891748309135437,
0.005534070543944836,
0.01451252494007349,
-0.013477629981935024,
-0.0606832280755043,
-0.0065725427120924,
-0.0012052977690473199,
0.04365123435854912,
-0.012187168933451176,
0.015269865281879902,
-0.00040304893627762794,
-0.031480822712183,
0.06443046778440475,
0.05976134166121483,
-0.011084052734076977,
0.11520955711603165,
0.14466151595115662,
0.02493136189877987,
-0.01875254511833191,
-0.05575994774699211,
0.03242400288581848,
-0.04156428202986717,
-0.05358022823929787,
0.03493666276335716,
0.014598163776099682,
0.08339273184537888,
-0.00964052602648735,
0.01902664266526699,
0.04742587357759476,
-0.03956565260887146,
-0.016965650022029877,
0.010971187613904476,
0.06107015535235405,
-0.039691437035799026,
0.04420255497097969,
0.08367554843425751,
0.0462694950401783,
-0.050771038979291916,
0.08613142371177673,
0.00009079294977709651,
-0.011242466047406197,
-0.024142786860466003,
0.0470699779689312,
0.07131423056125641,
0.012614031322300434,
-0.010066690854728222,
0.02432706207036972,
-0.009353458881378174,
0.020230267196893692,
-0.01622874289751053,
0.11916854977607727,
0.029674438759684563,
0.08162783086299896,
-0.03938594460487366,
-0.06961572170257568,
-0.03577155992388725,
-0.0261368490755558,
-0.026867801323533058,
0.024385079741477966,
-0.08642281591892242,
-0.05030570924282074,
-0.018186252564191818,
0.0746903270483017,
-0.11909390985965729,
0.05556340515613556,
-0.08444157987833023,
0.048889871686697006,
0.0291387178003788,
-0.03467295691370964,
-0.049694646149873734,
-0.004021690227091312,
0.055715467780828476,
0.048160020262002945,
-0.03934920206665993,
0.07697959244251251,
0.022114768624305725,
0.02752719819545746,
0.01407482661306858,
-0.06127580627799034,
0.04015861824154854,
0.04755828157067299,
0.05630333349108696,
0.007433884311467409,
-5.301788164047139e-8,
-0.041122663766145706,
-0.07277414202690125,
-0.07456549257040024,
-0.049374859780073166,
0.10095036774873734,
-0.0007995807100087404,
-0.04298001527786255,
-0.06644611805677414,
0.015259255655109882,
-0.11076013743877411,
0.10249913483858109,
0.007833362556993961,
-0.05166323855519295,
-0.07260308414697647,
-0.043119966983795166,
0.06144467368721962,
-0.016688410192728043,
-0.09443362057209015,
-0.05770828574895859,
-0.0478782095015049,
-0.07069838047027588,
-0.04163811355829239,
-0.07223246246576309,
0.02352660521864891,
0.07245498150587082,
-0.0025223796255886555,
0.006826059892773628,
0.05147979408502579,
0.04157007858157158,
0.08517082035541534,
-0.07296217232942581,
-0.026385515928268433,
0.07165320962667465,
0.038361404091119766,
-0.009369955398142338,
0.03362277150154114,
-0.03568585589528084,
0.02988661639392376,
0.05283612385392189,
-0.08560673147439957,
0.01022712979465723,
0.013398213312029839,
-0.014301177114248276,
0.05798571929335594,
0.06920884549617767,
-0.07494987547397614,
-0.0025792408268898726,
-0.041823603212833405,
-0.03847894445061684,
0.02165248431265354,
-0.015280569903552532,
0.03990548104047775,
0.010922604240477085,
0.002930770395323634,
-0.01419166848063469,
0.04898090660572052,
-0.0028964639641344547,
-0.03422010317444801,
0.029661934822797775,
0.02864057570695877,
0.0544913113117218,
-0.009072293527424335,
0.05291815847158432,
-0.021133968606591225
] |
1401.0447 | Renaud Lambiotte | Renaud Lambiotte, Vsevolod Salnikov and Martin Rosvall | Effect of Memory on the Dynamics of Random Walks on Networks | 6 pages; 6 figures | null | null | null | physics.soc-ph cs.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pathways of diffusion observed in real-world systems often require stochastic
processes going beyond first-order Markov models, as implicitly assumed in
network theory. In this work, we focus on second-order Markov models, and
derive an analytical expression for the effect of memory on the spectral gap
and thus, equivalently, on the characteristic time needed for the stochastic
process to asymptotically reach equilibrium. Perturbation analysis shows that
standard first-order Markov models can either overestimate or underestimate the
diffusion rate of flows across the modular structure of a system captured by a
second-order Markov network. We test the theoretical predictions on a toy
example and on numerical data, and discuss their implications for network
theory, in particular in the case of temporal or multiplex networks.
| [
{
"created": "Thu, 2 Jan 2014 14:27:29 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Lambiotte",
"Renaud",
""
],
[
"Salnikov",
"Vsevolod",
""
],
[
"Rosvall",
"Martin",
""
]
] | [
0.04478299617767334,
-0.07664863765239716,
-0.015608998015522957,
0.009873817674815655,
0.027871906757354736,
-0.027236323803663254,
-0.01519007422029972,
-0.023967348039150238,
0.10420116782188416,
-0.0430312380194664,
0.07461443543434143,
0.08503930270671844,
0.06825371086597443,
-0.008233430795371532,
0.04086285084486008,
-0.027751946821808815,
-0.034292444586753845,
-0.036666080355644226,
-0.02401251159608364,
-0.023927930742502213,
0.025727486237883568,
-0.0003996616287622601,
-0.06093873083591461,
-0.00552841741591692,
0.044062599539756775,
0.049465201795101166,
-0.01266665942966938,
-0.011791662313044071,
-0.001825170242227614,
-0.06273924559354782,
0.03897259384393692,
-0.035894643515348434,
-0.06159496679902077,
0.008881299756467342,
0.044060856103897095,
0.02344982884824276,
-0.010281006805598736,
0.02062816359102726,
-0.058595992624759674,
0.013908748514950275,
0.08197066932916641,
0.07012166827917099,
-0.029728779569268227,
0.05677437409758568,
-0.019797831773757935,
-0.011756166815757751,
0.07941354066133499,
-0.08783554285764694,
-0.06403115391731262,
-0.09269585460424423,
-0.06247211620211601,
0.04568693786859512,
-0.05007626488804817,
0.06874246150255203,
0.010644960217177868,
0.036440011113882065,
0.020494744181632996,
0.02340617962181568,
-0.10277598351240158,
-0.009803162887692451,
-0.00792750809341669,
-0.07570060342550278,
-0.03119678609073162,
0.010531389154493809,
0.037550587207078934,
0.05911651998758316,
0.05832182615995407,
0.04583883285522461,
0.005198308732360601,
0.06773480027914047,
0.020865600556135178,
-0.0011955579975619912,
-0.09876364469528198,
-0.010594833642244339,
0.04162447527050972,
-0.04733448848128319,
0.01968563348054886,
-0.020426971837878227,
-0.045958951115608215,
-0.04439985379576683,
0.021442286670207977,
0.025593360885977745,
0.040680840611457825,
-0.061438240110874176,
-0.08398847281932831,
-0.02506965585052967,
0.03539477288722992,
-0.019010692834854126,
0.03452669829130173,
-0.08742920309305191,
-0.09103715419769287,
0.05780450999736786,
0.000541787943802774,
-0.007270342204719782,
0.06092124804854393,
0.038744062185287476,
0.07489561289548874,
-0.032464250922203064,
0.04808558151125908,
0.07599075883626938,
-0.00945716630667448,
-0.05554407089948654,
0.017889264971017838,
0.027041703462600708,
0.10731573402881622,
0.0007513259188272059,
0.01130622997879982,
-0.005497396923601627,
0.013925404287874699,
0.03901524096727371,
0.048030223697423935,
0.03158349543809891,
0.05543115362524986,
0.03948390111327171,
0.007685245014727116,
-0.08968297392129898,
0.05759713798761368,
-0.03979130834341049,
0.029465949162840843,
0.03638702258467674,
-0.026982922106981277,
-0.028630439192056656,
-0.027391599491238594,
-0.01711125113070011,
-0.0023338363971561193,
0.033114299178123474,
-0.004750373773276806,
-3.13011370420928e-34,
-0.06877078860998154,
-0.08538182079792023,
-0.01076216995716095,
-0.00016722061263862997,
0.07195194065570831,
-0.038275547325611115,
-0.005984921008348465,
-0.08123468607664108,
0.04201454669237137,
-0.029654597863554955,
-0.05648542568087578,
0.009070704691112041,
-0.04238731786608696,
0.03161441162228584,
0.01413967739790678,
-0.01770073175430298,
-0.003842667443677783,
0.004574206192046404,
0.08728591352701187,
-0.07314278930425644,
0.05203072354197502,
-0.07091663777828217,
0.0009145246003754437,
0.038869354873895645,
0.0024544603656977415,
-0.014873269014060497,
-0.003502950072288513,
-0.01568164862692356,
0.03925236314535141,
0.01150138583034277,
-0.029880540445446968,
0.06281596422195435,
-0.05623285844922066,
0.0032110766042023897,
0.04597426578402519,
0.09131594747304916,
0.007093378342688084,
-0.009142090566456318,
0.03753853589296341,
-0.10297942906618118,
-0.07324844598770142,
0.013204267248511314,
-0.028271375223994255,
-0.007262979634106159,
-0.103660449385643,
-0.11788279563188553,
0.0247453935444355,
-0.007122614420950413,
-0.05105156823992729,
-0.046114519238471985,
-0.018230261281132698,
-0.026542894542217255,
0.019759735092520714,
0.00861417967826128,
-0.02418488636612892,
0.016324570402503014,
0.05123154819011688,
0.0020013393368571997,
-0.0394914411008358,
0.09127955883741379,
0.03375241532921791,
-0.00534426374360919,
0.04111418500542641,
0.005197553429752588,
0.12179294228553772,
0.06044556945562363,
-0.11667884886264801,
0.0938665121793747,
0.09236788749694824,
-0.05747086927294731,
-0.0008887322619557381,
0.0382835678756237,
0.00032268042559735477,
-0.07184837013483047,
0.060272302478551865,
-0.030094806104898453,
-0.0649140477180481,
-0.0666026771068573,
-0.02838808298110962,
0.10905149579048157,
-0.07095343619585037,
-0.11742302775382996,
-0.03560585528612137,
0.016809359192848206,
-0.03296132758259773,
-0.024402791634202003,
0.0712650790810585,
-0.06764174997806549,
-0.08059743046760559,
0.035783253610134125,
-0.019163167104125023,
0.013440195471048355,
0.06573106348514557,
0.07693950086832047,
0.022730132564902306,
-3.754976746405653e-33,
-0.048470620065927505,
0.024578046053647995,
0.07321003079414368,
0.053775329142808914,
0.06728488206863403,
-0.04373247176408768,
0.020510727539658546,
0.046073801815509796,
-0.007245515938848257,
-0.033111944794654846,
0.014104302041232586,
0.02659122459590435,
-0.006612326484173536,
-0.028971988707780838,
0.07999138534069061,
-0.09952026605606079,
0.1029728353023529,
-0.005923011340200901,
0.0468456968665123,
-0.03835497796535492,
-0.06683090329170227,
-0.026432275772094727,
-0.07452107965946198,
-0.023344354704022408,
0.019486842676997185,
-0.015958042815327644,
-0.041120950132608414,
0.0033464012667536736,
-0.09054499119520187,
-0.018353404477238655,
-0.07286994159221649,
0.0048974622040987015,
0.042154259979724884,
0.08745744824409485,
-0.004946413449943066,
0.1357935518026352,
-0.058231670409440994,
0.029219787567853928,
-0.004276170860975981,
0.003961635287851095,
0.020360799506306648,
-0.07573474943637848,
-0.08337468653917313,
-0.030655208975076675,
0.00923009030520916,
-0.04264473915100098,
-0.048950884491205215,
0.07333924621343613,
-0.03456661477684975,
-0.05286522954702377,
0.047102198004722595,
0.12486710399389267,
-0.05876932293176651,
0.0268518328666687,
-0.035201430320739746,
0.08401075750589371,
-0.01669902168214321,
0.014525018632411957,
0.06901193410158157,
0.03949829190969467,
-0.05017274618148804,
-0.0526803657412529,
-0.05297156423330307,
-0.0282374769449234,
-0.02978421561419964,
-0.036497458815574646,
-0.04749316722154617,
-0.10593722760677338,
0.07389761507511139,
0.03445440158247948,
0.08517579734325409,
0.07725950330495834,
-0.05608416721224785,
0.03326793760061264,
0.02140726149082184,
-0.05519532784819603,
0.027104437351226807,
0.061182279139757156,
-0.05340044945478439,
-0.02616547793149948,
-0.10248692333698273,
0.0865720734000206,
0.0073203169740736485,
-0.04330556094646454,
0.014154337346553802,
-0.05000173673033714,
0.039698611944913864,
-0.12932829558849335,
-0.006691538728773594,
-0.032949741929769516,
0.025314001366496086,
-0.020199568942189217,
0.015184780582785606,
-0.0009578196331858635,
-0.08943022042512894,
-4.598758707174966e-8,
-0.04509890452027321,
-0.02215658314526081,
0.08639930188655853,
0.018484143540263176,
0.14081335067749023,
0.06897271424531937,
0.05245666950941086,
0.03256971389055252,
0.02898351661860943,
0.06609495729207993,
0.09649719297885895,
0.01623281091451645,
-0.0033784036058932543,
-0.04136426001787186,
-0.051541946828365326,
0.03547386825084686,
0.006922747008502483,
-0.011729584075510502,
0.022933736443519592,
-0.09608617424964905,
-0.07161267101764679,
-0.04734189063310623,
0.004214259330183268,
0.054634902626276016,
0.02574029192328453,
0.030483324080705643,
-0.025486363098025322,
-0.00928028579801321,
0.03444884717464447,
0.03978993743658066,
-0.001719756401143968,
0.01690562441945076,
-0.05345282703638077,
0.05094579607248306,
-0.013796817511320114,
0.0322108268737793,
0.05653897300362587,
0.03641776368021965,
-0.038718804717063904,
-0.06778693944215775,
0.0033205565996468067,
-0.021831030026078224,
0.032167304307222366,
0.05341074615716934,
0.037793438881635666,
0.08189374208450317,
-0.055490680038928986,
0.0271920133382082,
0.029743432998657227,
-0.050873592495918274,
0.027452459558844566,
0.05054905265569687,
-0.05074211210012436,
0.015662940219044685,
-0.03657945245504379,
-0.07150223851203918,
0.032347172498703,
-0.041640982031822205,
-0.04302075132727623,
0.02743362821638584,
0.008053546771407127,
0.026439640671014786,
-0.044032759964466095,
-0.05786236748099327
] | null | null | null | null | null | null | null | [
0.04478299617767334,
-0.07664863765239716,
-0.015608998015522957,
0.009873817674815655,
0.027871906757354736,
-0.027236323803663254,
-0.01519007422029972,
-0.023967348039150238,
0.10420116782188416,
-0.0430312380194664,
0.07461443543434143,
0.08503930270671844,
0.06825371086597443,
-0.008233430795371532,
0.04086285084486008,
-0.027751946821808815,
-0.034292444586753845,
-0.036666080355644226,
-0.02401251159608364,
-0.023927930742502213,
0.025727486237883568,
-0.0003996616287622601,
-0.06093873083591461,
-0.00552841741591692,
0.044062599539756775,
0.049465201795101166,
-0.01266665942966938,
-0.011791662313044071,
-0.001825170242227614,
-0.06273924559354782,
0.03897259384393692,
-0.035894643515348434,
-0.06159496679902077,
0.008881299756467342,
0.044060856103897095,
0.02344982884824276,
-0.010281006805598736,
0.02062816359102726,
-0.058595992624759674,
0.013908748514950275,
0.08197066932916641,
0.07012166827917099,
-0.029728779569268227,
0.05677437409758568,
-0.019797831773757935,
-0.011756166815757751,
0.07941354066133499,
-0.08783554285764694,
-0.06403115391731262,
-0.09269585460424423,
-0.06247211620211601,
0.04568693786859512,
-0.05007626488804817,
0.06874246150255203,
0.010644960217177868,
0.036440011113882065,
0.020494744181632996,
0.02340617962181568,
-0.10277598351240158,
-0.009803162887692451,
-0.00792750809341669,
-0.07570060342550278,
-0.03119678609073162,
0.010531389154493809,
0.037550587207078934,
0.05911651998758316,
0.05832182615995407,
0.04583883285522461,
0.005198308732360601,
0.06773480027914047,
0.020865600556135178,
-0.0011955579975619912,
-0.09876364469528198,
-0.010594833642244339,
0.04162447527050972,
-0.04733448848128319,
0.01968563348054886,
-0.020426971837878227,
-0.045958951115608215,
-0.04439985379576683,
0.021442286670207977,
0.025593360885977745,
0.040680840611457825,
-0.061438240110874176,
-0.08398847281932831,
-0.02506965585052967,
0.03539477288722992,
-0.019010692834854126,
0.03452669829130173,
-0.08742920309305191,
-0.09103715419769287,
0.05780450999736786,
0.000541787943802774,
-0.007270342204719782,
0.06092124804854393,
0.038744062185287476,
0.07489561289548874,
-0.032464250922203064,
0.04808558151125908,
0.07599075883626938,
-0.00945716630667448,
-0.05554407089948654,
0.017889264971017838,
0.027041703462600708,
0.10731573402881622,
0.0007513259188272059,
0.01130622997879982,
-0.005497396923601627,
0.013925404287874699,
0.03901524096727371,
0.048030223697423935,
0.03158349543809891,
0.05543115362524986,
0.03948390111327171,
0.007685245014727116,
-0.08968297392129898,
0.05759713798761368,
-0.03979130834341049,
0.029465949162840843,
0.03638702258467674,
-0.026982922106981277,
-0.028630439192056656,
-0.027391599491238594,
-0.01711125113070011,
-0.0023338363971561193,
0.033114299178123474,
-0.004750373773276806,
-3.13011370420928e-34,
-0.06877078860998154,
-0.08538182079792023,
-0.01076216995716095,
-0.00016722061263862997,
0.07195194065570831,
-0.038275547325611115,
-0.005984921008348465,
-0.08123468607664108,
0.04201454669237137,
-0.029654597863554955,
-0.05648542568087578,
0.009070704691112041,
-0.04238731786608696,
0.03161441162228584,
0.01413967739790678,
-0.01770073175430298,
-0.003842667443677783,
0.004574206192046404,
0.08728591352701187,
-0.07314278930425644,
0.05203072354197502,
-0.07091663777828217,
0.0009145246003754437,
0.038869354873895645,
0.0024544603656977415,
-0.014873269014060497,
-0.003502950072288513,
-0.01568164862692356,
0.03925236314535141,
0.01150138583034277,
-0.029880540445446968,
0.06281596422195435,
-0.05623285844922066,
0.0032110766042023897,
0.04597426578402519,
0.09131594747304916,
0.007093378342688084,
-0.009142090566456318,
0.03753853589296341,
-0.10297942906618118,
-0.07324844598770142,
0.013204267248511314,
-0.028271375223994255,
-0.007262979634106159,
-0.103660449385643,
-0.11788279563188553,
0.0247453935444355,
-0.007122614420950413,
-0.05105156823992729,
-0.046114519238471985,
-0.018230261281132698,
-0.026542894542217255,
0.019759735092520714,
0.00861417967826128,
-0.02418488636612892,
0.016324570402503014,
0.05123154819011688,
0.0020013393368571997,
-0.0394914411008358,
0.09127955883741379,
0.03375241532921791,
-0.00534426374360919,
0.04111418500542641,
0.005197553429752588,
0.12179294228553772,
0.06044556945562363,
-0.11667884886264801,
0.0938665121793747,
0.09236788749694824,
-0.05747086927294731,
-0.0008887322619557381,
0.0382835678756237,
0.00032268042559735477,
-0.07184837013483047,
0.060272302478551865,
-0.030094806104898453,
-0.0649140477180481,
-0.0666026771068573,
-0.02838808298110962,
0.10905149579048157,
-0.07095343619585037,
-0.11742302775382996,
-0.03560585528612137,
0.016809359192848206,
-0.03296132758259773,
-0.024402791634202003,
0.0712650790810585,
-0.06764174997806549,
-0.08059743046760559,
0.035783253610134125,
-0.019163167104125023,
0.013440195471048355,
0.06573106348514557,
0.07693950086832047,
0.022730132564902306,
-3.754976746405653e-33,
-0.048470620065927505,
0.024578046053647995,
0.07321003079414368,
0.053775329142808914,
0.06728488206863403,
-0.04373247176408768,
0.020510727539658546,
0.046073801815509796,
-0.007245515938848257,
-0.033111944794654846,
0.014104302041232586,
0.02659122459590435,
-0.006612326484173536,
-0.028971988707780838,
0.07999138534069061,
-0.09952026605606079,
0.1029728353023529,
-0.005923011340200901,
0.0468456968665123,
-0.03835497796535492,
-0.06683090329170227,
-0.026432275772094727,
-0.07452107965946198,
-0.023344354704022408,
0.019486842676997185,
-0.015958042815327644,
-0.041120950132608414,
0.0033464012667536736,
-0.09054499119520187,
-0.018353404477238655,
-0.07286994159221649,
0.0048974622040987015,
0.042154259979724884,
0.08745744824409485,
-0.004946413449943066,
0.1357935518026352,
-0.058231670409440994,
0.029219787567853928,
-0.004276170860975981,
0.003961635287851095,
0.020360799506306648,
-0.07573474943637848,
-0.08337468653917313,
-0.030655208975076675,
0.00923009030520916,
-0.04264473915100098,
-0.048950884491205215,
0.07333924621343613,
-0.03456661477684975,
-0.05286522954702377,
0.047102198004722595,
0.12486710399389267,
-0.05876932293176651,
0.0268518328666687,
-0.035201430320739746,
0.08401075750589371,
-0.01669902168214321,
0.014525018632411957,
0.06901193410158157,
0.03949829190969467,
-0.05017274618148804,
-0.0526803657412529,
-0.05297156423330307,
-0.0282374769449234,
-0.02978421561419964,
-0.036497458815574646,
-0.04749316722154617,
-0.10593722760677338,
0.07389761507511139,
0.03445440158247948,
0.08517579734325409,
0.07725950330495834,
-0.05608416721224785,
0.03326793760061264,
0.02140726149082184,
-0.05519532784819603,
0.027104437351226807,
0.061182279139757156,
-0.05340044945478439,
-0.02616547793149948,
-0.10248692333698273,
0.0865720734000206,
0.0073203169740736485,
-0.04330556094646454,
0.014154337346553802,
-0.05000173673033714,
0.039698611944913864,
-0.12932829558849335,
-0.006691538728773594,
-0.032949741929769516,
0.025314001366496086,
-0.020199568942189217,
0.015184780582785606,
-0.0009578196331858635,
-0.08943022042512894,
-4.598758707174966e-8,
-0.04509890452027321,
-0.02215658314526081,
0.08639930188655853,
0.018484143540263176,
0.14081335067749023,
0.06897271424531937,
0.05245666950941086,
0.03256971389055252,
0.02898351661860943,
0.06609495729207993,
0.09649719297885895,
0.01623281091451645,
-0.0033784036058932543,
-0.04136426001787186,
-0.051541946828365326,
0.03547386825084686,
0.006922747008502483,
-0.011729584075510502,
0.022933736443519592,
-0.09608617424964905,
-0.07161267101764679,
-0.04734189063310623,
0.004214259330183268,
0.054634902626276016,
0.02574029192328453,
0.030483324080705643,
-0.025486363098025322,
-0.00928028579801321,
0.03444884717464447,
0.03978993743658066,
-0.001719756401143968,
0.01690562441945076,
-0.05345282703638077,
0.05094579607248306,
-0.013796817511320114,
0.0322108268737793,
0.05653897300362587,
0.03641776368021965,
-0.038718804717063904,
-0.06778693944215775,
0.0033205565996468067,
-0.021831030026078224,
0.032167304307222366,
0.05341074615716934,
0.037793438881635666,
0.08189374208450317,
-0.055490680038928986,
0.0271920133382082,
0.029743432998657227,
-0.050873592495918274,
0.027452459558844566,
0.05054905265569687,
-0.05074211210012436,
0.015662940219044685,
-0.03657945245504379,
-0.07150223851203918,
0.032347172498703,
-0.041640982031822205,
-0.04302075132727623,
0.02743362821638584,
0.008053546771407127,
0.026439640671014786,
-0.044032759964466095,
-0.05786236748099327
] |
1401.0450 | Michele Merano | G.Jayaswal, G.Mistura, and M.Merano | Observation of the Imbert-Fedorov effect via weak value amplification | null | null | 10.1364/OL.39.002266 | null | physics.optics quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Weak measurements have recently allowed for the observation of the spin-Hall
effect of light in reflection or transmission, which is a spin-dependent light
beam shift orthogonal to the plane of incidence. We report here the observation
of the Imbert-Fedorov shift via a weak value amplification scheme. The
Imbert-Fedorov effect does not depend on the spin of the incident photon only,
but it has richer polarization dependence. We prove that weak measurements
allow for a complete experimental characterization of the polarization
properties of this tiny optical effect.
| [
{
"created": "Thu, 2 Jan 2014 14:42:27 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jan 2014 11:11:04 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Mar 2014 16:45:23 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Jayaswal",
"G.",
""
],
[
"Mistura",
"G.",
""
],
[
"Merano",
"M.",
""
]
] | [
-0.04894273355603218,
-0.04514601454138756,
-0.020078977569937706,
-0.019400378689169884,
-0.007025496102869511,
-0.02044135145843029,
0.034882042557001114,
-0.03013812005519867,
-0.018653085455298424,
0.03733329474925995,
-0.006997006479650736,
0.07987203449010849,
-0.03267122432589531,
0.018258636817336082,
0.01474723033607006,
0.06320381909608841,
0.025261804461479187,
0.06811277568340302,
-0.05587264895439148,
-0.003944911062717438,
-0.004123050253838301,
-0.12371708452701569,
-0.006644397974014282,
0.023567698895931244,
0.015230972319841385,
-0.03885440528392792,
0.019945712760090828,
-0.009500959888100624,
0.04109090566635132,
-0.03720004856586456,
-0.009910047054290771,
0.06365126371383667,
-0.057462241500616074,
-0.03465466573834419,
-0.08546466380357742,
0.0032704626210033894,
0.08953271061182022,
-0.04141823202371597,
0.024501444771885872,
-0.004782417789101601,
0.04559622332453728,
0.09949149191379547,
0.035452619194984436,
-0.07354721426963806,
-0.08866468071937561,
-0.009462189860641956,
0.09946230053901672,
-0.01206154190003872,
-0.004705272149294615,
-0.038641173392534256,
0.012580512091517448,
0.08580304682254791,
-0.013683784753084183,
-0.08526543527841568,
-0.0009258974459953606,
-0.012981012463569641,
0.0877441018819809,
-0.023176804184913635,
0.020274851471185684,
0.007366975769400597,
0.08277159184217453,
0.025135749951004982,
-0.012144329957664013,
-0.011504417285323143,
-0.012142504565417767,
-0.009632064029574394,
-0.0010982068488374352,
-0.03254386782646179,
0.0003405392053537071,
-0.0513046458363533,
-0.006798136979341507,
-0.0020985545124858618,
-0.014656564220786095,
-0.0078002107329666615,
0.0466630794107914,
-0.023953398689627647,
0.008956754580140114,
-0.038803596049547195,
0.039251089096069336,
0.0011974567314609885,
-0.08539893478155136,
-0.08808697015047073,
-0.040090467780828476,
0.03571530058979988,
0.051177725195884705,
-0.028891490772366524,
-0.022966332733631134,
0.05495208129286766,
-0.13651180267333984,
0.026370495557785034,
-0.04599558189511299,
-0.058897800743579865,
-0.11286234110593796,
-0.015609629452228546,
0.07839655131101608,
-0.06624724715948105,
-0.004200155381113291,
-0.03207676485180855,
-0.062019094824790955,
0.044029902666807175,
0.06147383525967598,
0.05689830332994461,
-0.043496258556842804,
0.02039158344268799,
-0.05842247232794762,
-0.0439615435898304,
0.14323855936527252,
0.0035761883482337,
-0.11036021262407303,
0.019977480173110962,
0.05133785307407379,
0.031622666865587234,
-0.020497774705290794,
-0.002039272105321288,
-0.07993005216121674,
-0.0015234793536365032,
0.0485215038061142,
0.10919860005378723,
-0.013309098780155182,
0.05825616791844368,
-0.04494096711277962,
0.028961719945073128,
-0.06324466317892075,
0.07206324487924576,
0.00821027159690857,
0.010428974404931068,
0.037625912576913834,
-1.193688982992101e-33,
0.08597905188798904,
0.08080518990755081,
-0.0015970952808856964,
0.010455739684402943,
0.0310716163367033,
-0.017826838418841362,
0.046910203993320465,
-0.0391697995364666,
-0.01898833177983761,
-0.056259751319885254,
0.05143982172012329,
0.03506159037351608,
0.025222668424248695,
-0.08489886671304703,
-0.013136406429111958,
-0.02492806501686573,
0.005173062905669212,
0.005482139065861702,
0.0526084303855896,
0.037244681268930435,
0.022841477766633034,
0.06466031819581985,
-0.029814915731549263,
0.06700129806995392,
-0.0006263625109568238,
-0.04949798807501793,
0.01160573773086071,
0.028874151408672333,
-0.08350923657417297,
0.0354752279818058,
-0.025995874777436256,
0.05648989975452423,
-0.019233034923672676,
0.0360584519803524,
0.044014886021614075,
-0.07121981680393219,
-0.037225037813186646,
0.002212810330092907,
-0.0017837092746049166,
0.004435282666236162,
0.009530295617878437,
0.004567308817058802,
0.06516562402248383,
-0.004404441453516483,
-0.03684386610984802,
-0.025021737441420555,
-0.0027637954335659742,
-0.002112148329615593,
0.10462770611047745,
-0.007026062346994877,
0.058113664388656616,
-0.08698222786188126,
-0.06356961280107498,
-0.034540969878435135,
0.006347674876451492,
-0.07034850120544434,
0.027203911915421486,
0.0011820142390206456,
0.018103454262018204,
-0.03081829845905304,
0.03857506811618805,
-0.027090098708868027,
0.056929681450128555,
-0.009925841353833675,
-0.008188191801309586,
-0.0056046717800199986,
-0.037266332656145096,
-0.07968825846910477,
-0.0724717453122139,
-0.006429857574403286,
-0.019232818856835365,
0.013315199874341488,
-0.03311970457434654,
-0.0025089364498853683,
0.12832090258598328,
0.07188670337200165,
-0.03544212132692337,
-0.03960699215531349,
0.050042394548654556,
0.027052367106080055,
-0.05752899497747421,
-0.02281823195517063,
-0.012401754967868328,
-0.020296789705753326,
-0.1059429869055748,
0.12008724361658096,
-0.0882522463798523,
-0.05331270396709442,
-0.06164306029677391,
-0.06782444566488266,
-0.011834239587187767,
0.020116450265049934,
-0.011088515631854534,
-0.02266194298863411,
-0.05943213775753975,
-1.1937745736745203e-33,
-0.12120243161916733,
-0.01661318726837635,
-0.03054346889257431,
0.026000233367085457,
-0.044391512870788574,
-0.01110968366265297,
0.0846884623169899,
0.05054974555969238,
0.0002458274830132723,
0.07079139351844788,
0.09059689939022064,
0.006834269501268864,
-0.06488590687513351,
0.04498252645134926,
-0.11577741801738739,
-0.001120765577070415,
0.14454887807369232,
-0.04356345906853676,
0.01105029508471489,
0.023297270759940147,
0.03391782194375992,
0.01952313259243965,
0.06015543267130852,
0.06438499689102173,
0.04552028328180313,
0.019343620166182518,
0.0643426924943924,
0.058661576360464096,
0.009424124844372272,
-0.003454206744208932,
0.06355220824480057,
0.03603415563702583,
-0.03230658546090126,
-0.006277460604906082,
-0.06267956644296646,
0.06265155225992203,
-0.026764508336782455,
-0.058660801500082016,
-0.11918406188488007,
0.03302764520049095,
0.0013122251257300377,
0.06332587450742722,
0.03759268298745155,
0.03028937242925167,
-0.010122422128915787,
-0.07346135377883911,
0.007712217513471842,
0.021222563460469246,
-0.06024720519781113,
-0.030240338295698166,
-0.05643175542354584,
0.05618138983845711,
0.08948749303817749,
0.10597524791955948,
-0.09562774002552032,
0.02357422560453415,
0.03614933788776398,
0.04869665578007698,
0.0313587486743927,
0.11718807369470596,
-0.07539989799261093,
0.03229938820004463,
-0.024441910907626152,
0.021445434540510178,
-0.0035629209596663713,
0.04015473648905754,
0.05773632973432541,
-0.07024595141410828,
0.08110255748033524,
0.04860323294997215,
0.07908785343170166,
-0.010847904719412327,
0.023618536069989204,
-0.03468157723546028,
0.023585308343172073,
0.011989389546215534,
0.09875036031007767,
-0.04283742606639862,
-0.06872687488794327,
-0.015448628924787045,
0.024429231882095337,
-0.038567736744880676,
-0.04027893394231796,
-0.04428497701883316,
0.05895410105586052,
-0.036281801760196686,
-0.080391064286232,
-0.0017486404394730926,
0.014354873448610306,
0.001040997332893312,
0.03394179418683052,
-0.005017568822950125,
-0.014212905429303646,
-0.16600161790847778,
0.06934209167957306,
-4.0627273989457535e-8,
0.029403608292341232,
0.0008288227254524827,
-0.008721865713596344,
0.08283784240484238,
-0.011687488295137882,
-0.09347528964281082,
-0.03421818092465401,
-0.035641927272081375,
-0.019558826461434364,
-0.021225331351161003,
-0.010493237525224686,
-0.03540772199630737,
-0.043730951845645905,
-0.0796574279665947,
0.08363781124353409,
0.050583403557538986,
0.03326364979147911,
-0.007128432858735323,
0.009850012138485909,
0.029744485393166542,
-0.030508341267704964,
-0.06282684206962585,
0.03227793425321579,
-0.01913156546652317,
-0.02187860757112503,
0.05288486182689667,
-0.0067298864014446735,
-0.08135368674993515,
0.016427505761384964,
0.002320544794201851,
0.11727741360664368,
0.05460048466920853,
0.04878300428390503,
0.02775929495692253,
-0.10506204515695572,
0.02945806086063385,
-0.027012057602405548,
0.06750096380710602,
-0.03274396061897278,
0.026426272466778755,
-0.07732917368412018,
0.016891317442059517,
-0.06015890836715698,
0.018865395337343216,
-0.031565114855766296,
0.07958928495645523,
-0.036370258778333664,
0.033004049211740494,
-0.010987689718604088,
-0.039198748767375946,
0.05200410261750221,
0.03337446600198746,
0.05104808136820793,
-0.019534485414624214,
-0.02512139454483986,
-0.027149558067321777,
0.06817497313022614,
-0.047968290746212006,
0.016298843547701836,
-0.016813114285469055,
0.059971656650304794,
-0.032267581671476364,
-0.07038535922765732,
0.01954594999551773
] | null | null | null | null | null | null | null | [
-0.04894273355603218,
-0.04514601454138756,
-0.020078977569937706,
-0.019400378689169884,
-0.007025496102869511,
-0.02044135145843029,
0.034882042557001114,
-0.03013812005519867,
-0.018653085455298424,
0.03733329474925995,
-0.006997006479650736,
0.07987203449010849,
-0.03267122432589531,
0.018258636817336082,
0.01474723033607006,
0.06320381909608841,
0.025261804461479187,
0.06811277568340302,
-0.05587264895439148,
-0.003944911062717438,
-0.004123050253838301,
-0.12371708452701569,
-0.006644397974014282,
0.023567698895931244,
0.015230972319841385,
-0.03885440528392792,
0.019945712760090828,
-0.009500959888100624,
0.04109090566635132,
-0.03720004856586456,
-0.009910047054290771,
0.06365126371383667,
-0.057462241500616074,
-0.03465466573834419,
-0.08546466380357742,
0.0032704626210033894,
0.08953271061182022,
-0.04141823202371597,
0.024501444771885872,
-0.004782417789101601,
0.04559622332453728,
0.09949149191379547,
0.035452619194984436,
-0.07354721426963806,
-0.08866468071937561,
-0.009462189860641956,
0.09946230053901672,
-0.01206154190003872,
-0.004705272149294615,
-0.038641173392534256,
0.012580512091517448,
0.08580304682254791,
-0.013683784753084183,
-0.08526543527841568,
-0.0009258974459953606,
-0.012981012463569641,
0.0877441018819809,
-0.023176804184913635,
0.020274851471185684,
0.007366975769400597,
0.08277159184217453,
0.025135749951004982,
-0.012144329957664013,
-0.011504417285323143,
-0.012142504565417767,
-0.009632064029574394,
-0.0010982068488374352,
-0.03254386782646179,
0.0003405392053537071,
-0.0513046458363533,
-0.006798136979341507,
-0.0020985545124858618,
-0.014656564220786095,
-0.0078002107329666615,
0.0466630794107914,
-0.023953398689627647,
0.008956754580140114,
-0.038803596049547195,
0.039251089096069336,
0.0011974567314609885,
-0.08539893478155136,
-0.08808697015047073,
-0.040090467780828476,
0.03571530058979988,
0.051177725195884705,
-0.028891490772366524,
-0.022966332733631134,
0.05495208129286766,
-0.13651180267333984,
0.026370495557785034,
-0.04599558189511299,
-0.058897800743579865,
-0.11286234110593796,
-0.015609629452228546,
0.07839655131101608,
-0.06624724715948105,
-0.004200155381113291,
-0.03207676485180855,
-0.062019094824790955,
0.044029902666807175,
0.06147383525967598,
0.05689830332994461,
-0.043496258556842804,
0.02039158344268799,
-0.05842247232794762,
-0.0439615435898304,
0.14323855936527252,
0.0035761883482337,
-0.11036021262407303,
0.019977480173110962,
0.05133785307407379,
0.031622666865587234,
-0.020497774705290794,
-0.002039272105321288,
-0.07993005216121674,
-0.0015234793536365032,
0.0485215038061142,
0.10919860005378723,
-0.013309098780155182,
0.05825616791844368,
-0.04494096711277962,
0.028961719945073128,
-0.06324466317892075,
0.07206324487924576,
0.00821027159690857,
0.010428974404931068,
0.037625912576913834,
-1.193688982992101e-33,
0.08597905188798904,
0.08080518990755081,
-0.0015970952808856964,
0.010455739684402943,
0.0310716163367033,
-0.017826838418841362,
0.046910203993320465,
-0.0391697995364666,
-0.01898833177983761,
-0.056259751319885254,
0.05143982172012329,
0.03506159037351608,
0.025222668424248695,
-0.08489886671304703,
-0.013136406429111958,
-0.02492806501686573,
0.005173062905669212,
0.005482139065861702,
0.0526084303855896,
0.037244681268930435,
0.022841477766633034,
0.06466031819581985,
-0.029814915731549263,
0.06700129806995392,
-0.0006263625109568238,
-0.04949798807501793,
0.01160573773086071,
0.028874151408672333,
-0.08350923657417297,
0.0354752279818058,
-0.025995874777436256,
0.05648989975452423,
-0.019233034923672676,
0.0360584519803524,
0.044014886021614075,
-0.07121981680393219,
-0.037225037813186646,
0.002212810330092907,
-0.0017837092746049166,
0.004435282666236162,
0.009530295617878437,
0.004567308817058802,
0.06516562402248383,
-0.004404441453516483,
-0.03684386610984802,
-0.025021737441420555,
-0.0027637954335659742,
-0.002112148329615593,
0.10462770611047745,
-0.007026062346994877,
0.058113664388656616,
-0.08698222786188126,
-0.06356961280107498,
-0.034540969878435135,
0.006347674876451492,
-0.07034850120544434,
0.027203911915421486,
0.0011820142390206456,
0.018103454262018204,
-0.03081829845905304,
0.03857506811618805,
-0.027090098708868027,
0.056929681450128555,
-0.009925841353833675,
-0.008188191801309586,
-0.0056046717800199986,
-0.037266332656145096,
-0.07968825846910477,
-0.0724717453122139,
-0.006429857574403286,
-0.019232818856835365,
0.013315199874341488,
-0.03311970457434654,
-0.0025089364498853683,
0.12832090258598328,
0.07188670337200165,
-0.03544212132692337,
-0.03960699215531349,
0.050042394548654556,
0.027052367106080055,
-0.05752899497747421,
-0.02281823195517063,
-0.012401754967868328,
-0.020296789705753326,
-0.1059429869055748,
0.12008724361658096,
-0.0882522463798523,
-0.05331270396709442,
-0.06164306029677391,
-0.06782444566488266,
-0.011834239587187767,
0.020116450265049934,
-0.011088515631854534,
-0.02266194298863411,
-0.05943213775753975,
-1.1937745736745203e-33,
-0.12120243161916733,
-0.01661318726837635,
-0.03054346889257431,
0.026000233367085457,
-0.044391512870788574,
-0.01110968366265297,
0.0846884623169899,
0.05054974555969238,
0.0002458274830132723,
0.07079139351844788,
0.09059689939022064,
0.006834269501268864,
-0.06488590687513351,
0.04498252645134926,
-0.11577741801738739,
-0.001120765577070415,
0.14454887807369232,
-0.04356345906853676,
0.01105029508471489,
0.023297270759940147,
0.03391782194375992,
0.01952313259243965,
0.06015543267130852,
0.06438499689102173,
0.04552028328180313,
0.019343620166182518,
0.0643426924943924,
0.058661576360464096,
0.009424124844372272,
-0.003454206744208932,
0.06355220824480057,
0.03603415563702583,
-0.03230658546090126,
-0.006277460604906082,
-0.06267956644296646,
0.06265155225992203,
-0.026764508336782455,
-0.058660801500082016,
-0.11918406188488007,
0.03302764520049095,
0.0013122251257300377,
0.06332587450742722,
0.03759268298745155,
0.03028937242925167,
-0.010122422128915787,
-0.07346135377883911,
0.007712217513471842,
0.021222563460469246,
-0.06024720519781113,
-0.030240338295698166,
-0.05643175542354584,
0.05618138983845711,
0.08948749303817749,
0.10597524791955948,
-0.09562774002552032,
0.02357422560453415,
0.03614933788776398,
0.04869665578007698,
0.0313587486743927,
0.11718807369470596,
-0.07539989799261093,
0.03229938820004463,
-0.024441910907626152,
0.021445434540510178,
-0.0035629209596663713,
0.04015473648905754,
0.05773632973432541,
-0.07024595141410828,
0.08110255748033524,
0.04860323294997215,
0.07908785343170166,
-0.010847904719412327,
0.023618536069989204,
-0.03468157723546028,
0.023585308343172073,
0.011989389546215534,
0.09875036031007767,
-0.04283742606639862,
-0.06872687488794327,
-0.015448628924787045,
0.024429231882095337,
-0.038567736744880676,
-0.04027893394231796,
-0.04428497701883316,
0.05895410105586052,
-0.036281801760196686,
-0.080391064286232,
-0.0017486404394730926,
0.014354873448610306,
0.001040997332893312,
0.03394179418683052,
-0.005017568822950125,
-0.014212905429303646,
-0.16600161790847778,
0.06934209167957306,
-4.0627273989457535e-8,
0.029403608292341232,
0.0008288227254524827,
-0.008721865713596344,
0.08283784240484238,
-0.011687488295137882,
-0.09347528964281082,
-0.03421818092465401,
-0.035641927272081375,
-0.019558826461434364,
-0.021225331351161003,
-0.010493237525224686,
-0.03540772199630737,
-0.043730951845645905,
-0.0796574279665947,
0.08363781124353409,
0.050583403557538986,
0.03326364979147911,
-0.007128432858735323,
0.009850012138485909,
0.029744485393166542,
-0.030508341267704964,
-0.06282684206962585,
0.03227793425321579,
-0.01913156546652317,
-0.02187860757112503,
0.05288486182689667,
-0.0067298864014446735,
-0.08135368674993515,
0.016427505761384964,
0.002320544794201851,
0.11727741360664368,
0.05460048466920853,
0.04878300428390503,
0.02775929495692253,
-0.10506204515695572,
0.02945806086063385,
-0.027012057602405548,
0.06750096380710602,
-0.03274396061897278,
0.026426272466778755,
-0.07732917368412018,
0.016891317442059517,
-0.06015890836715698,
0.018865395337343216,
-0.031565114855766296,
0.07958928495645523,
-0.036370258778333664,
0.033004049211740494,
-0.010987689718604088,
-0.039198748767375946,
0.05200410261750221,
0.03337446600198746,
0.05104808136820793,
-0.019534485414624214,
-0.02512139454483986,
-0.027149558067321777,
0.06817497313022614,
-0.047968290746212006,
0.016298843547701836,
-0.016813114285469055,
0.059971656650304794,
-0.032267581671476364,
-0.07038535922765732,
0.01954594999551773
] |
1401.0458 | David F. Nettleton | David F. Nettleton, Vicenc Torra, and Anton Dries | The effect of constraints on information loss and risk for clustering
and modification based graph anonymization methods | 21 pages, 6 figures, 7 tables | null | null | This research is partially supported by the Spanish MEC (projects
ARES CONSOLIDER INGENIO 2010 CSD2007-00004--eAEGISTSI2007-65406-C03-02--and
HIPERGRAPH TIN2009-14560-C03-01) | cs.CR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present a novel approach for anonymizing Online Social
Network graphs which can be used in conjunction with existing perturbation
approaches such as clustering and modification. The main insight of this paper
is that by imposing additional constraints on which nodes can be selected we
can reduce the information loss with respect to key structural metrics, while
maintaining an acceptable risk. We present and evaluate two constraints,
'local1' and 'local2' which select the most similar subgraphs within the same
community while excluding some key structural nodes. To this end, we introduce
a novel distance metric based on local subgraph characteristics and which is
calibrated using an isomorphism matcher. Empirical testing is conducted with
three real OSN datasets, six information loss measures, five adversary queries
as risk measures, and different levels of k-anonymity. The results show that
overall, the methods with constraints give the best results for information
loss and risk of disclosure.
| [
{
"created": "Thu, 2 Jan 2014 15:46:06 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 17:04:36 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Feb 2014 17:02:33 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Jul 2014 15:10:06 GMT",
"version": "v4"
}
] | 2021-01-07 | [
[
"Nettleton",
"David F.",
""
],
[
"Torra",
"Vicenc",
""
],
[
"Dries",
"Anton",
""
]
] | [
-0.09948870539665222,
-0.015707483515143394,
-0.0090330196544528,
0.03261673450469971,
0.04150984808802605,
-0.020756591111421585,
0.03167589753866196,
-0.032651640474796295,
0.06397107243537903,
-0.040673159062862396,
0.06323216110467911,
-0.05270925536751747,
0.09919998049736023,
0.012971939519047737,
-0.04317663237452507,
0.02696184441447258,
0.03213280066847801,
0.05750067159533501,
-0.0066587477922439575,
-0.007145123090595007,
0.002662760205566883,
-0.018185406923294067,
0.03630724176764488,
0.029295455664396286,
0.09595004469156265,
-0.056483715772628784,
0.00013132061576470733,
0.05743979290127754,
-0.02779429778456688,
0.0001348235527984798,
0.09024053812026978,
0.024239132180809975,
0.04333972558379173,
0.004176892805844545,
-0.014512188732624054,
-0.034424472600221634,
0.009822051040828228,
0.020194856449961662,
-0.02949787676334381,
0.041732579469680786,
0.02121034450829029,
-0.02040674537420273,
0.012014302425086498,
0.05952070280909538,
-0.0457226000726223,
0.05744566395878792,
-0.016198981553316116,
0.10680363327264786,
-0.08592386543750763,
0.03604121506214142,
-0.06719425320625305,
-0.04105093702673912,
-0.06224394962191582,
0.010124697349965572,
0.007658271584659815,
-0.0752449482679367,
-0.029073970392346382,
-0.01726250909268856,
-0.02996470220386982,
0.051346153020858765,
0.10247529298067093,
-0.05180012434720993,
-0.0022124401293694973,
0.009777745231986046,
0.022763879969716072,
0.036608003079891205,
0.007470139767974615,
0.04632807523012161,
0.017864635214209557,
0.07367383688688278,
0.07823847979307175,
0.002671030117198825,
-0.10027806460857391,
0.06025990471243858,
-0.025271300226449966,
0.04645022749900818,
-0.01329769566655159,
-0.006738354917615652,
-0.060814131051301956,
0.0071830847300589085,
-0.007698793895542622,
0.034304141998291016,
-0.0018707909621298313,
-0.022246310487389565,
-0.00791681557893753,
-0.022743817418813705,
0.02990231290459633,
-0.08093219995498657,
0.010105198249220848,
0.04350458085536957,
-0.0653049647808075,
0.09178709238767624,
0.0331365130841732,
-0.046060461550951004,
0.04862992465496063,
-0.026732955127954483,
0.041447412222623825,
0.03167290613055229,
0.025207512080669403,
0.10320275276899338,
-0.09177692979574203,
0.01608278974890709,
-0.03041541762650013,
-0.03102252632379532,
0.026043003425002098,
0.10505061596632004,
-0.00872830394655466,
-0.007602677680552006,
0.08161164075136185,
0.11512207984924316,
-0.020173411816358566,
0.027143102139234543,
-0.0578794851899147,
-0.03001551330089569,
0.04341201111674309,
-0.02718520164489746,
0.05677906423807144,
0.05731626972556114,
0.013222183100879192,
0.07035273313522339,
-0.006685999222099781,
0.0032856897450983524,
0.027760440483689308,
-0.09780597686767578,
-0.0007082739612087607,
0.043291911482810974,
-0.07867161929607391,
2.802119005248191e-33,
0.10661441087722778,
0.01954391412436962,
-0.026406481862068176,
-0.052349261939525604,
-0.01179150678217411,
0.020038777962327003,
-0.07539131492376328,
0.03313451260328293,
-0.07725247740745544,
-0.006902230437844992,
-0.034869275987148285,
0.05437891557812691,
0.07794791460037231,
0.00020780244085472077,
0.08618540316820145,
0.04852205887436867,
0.07710599899291992,
0.05273286625742912,
0.0636906549334526,
-0.0315108485519886,
0.15694071352481842,
-0.07042951136827469,
0.016854168847203255,
0.05192102491855621,
0.013361453078687191,
-0.0437779426574707,
-0.005085641052573919,
-0.0320037417113781,
0.03819991648197174,
-0.019897468388080597,
-0.08074869215488434,
0.0350969098508358,
0.06880626827478409,
0.02320057712495327,
0.11181829124689102,
0.0046080355532467365,
-0.02207186445593834,
-0.032893549650907516,
-0.02974395453929901,
-0.05787624418735504,
-0.05372334644198418,
0.047881655395030975,
-0.024761449545621872,
0.019273879006505013,
0.0414106659591198,
0.053761277347803116,
-0.09558635950088501,
0.007065510842949152,
0.04274469614028931,
-0.09698626399040222,
0.030016815289855003,
-0.04208344221115112,
-0.03965471312403679,
0.09938585013151169,
-0.10815764963626862,
0.023937618359923363,
0.0024595570284873247,
0.021461041644215584,
0.01168307475745678,
0.02969919703900814,
-0.01422013808041811,
-0.017956262454390526,
0.07804431021213531,
-0.004471438005566597,
-0.000168584767379798,
-0.015583029948174953,
-0.04600583016872406,
-0.04011174291372299,
0.0518970862030983,
-0.060706403106451035,
0.049851253628730774,
0.06662733107805252,
-0.04384449124336243,
0.005929980892688036,
-0.07706614583730698,
-0.01704910583794117,
-0.04161686450242996,
0.0003083583724219352,
-0.06432691961526871,
0.04348244518041611,
-0.031240539625287056,
-0.00911377277225256,
0.00326225021854043,
-0.018855828791856766,
-0.06523188948631287,
-0.07007398456335068,
0.06724046170711517,
0.06039334461092949,
0.01255196612328291,
0.04145851358771324,
-0.011856503784656525,
-0.028683433309197426,
-0.05365575850009918,
-0.049606069922447205,
0.04062680900096893,
-2.648576116814776e-33,
-0.12126945704221725,
0.02281600795686245,
0.022026067599654198,
0.009836755692958832,
-0.039545778185129166,
-0.043165840208530426,
-0.0017593364464119077,
0.04471385478973389,
-0.03998100012540817,
0.04528234899044037,
-0.10510887205600739,
-0.07493141293525696,
0.04770500957965851,
-0.08656689524650574,
-0.01977819949388504,
0.024550937116146088,
0.030042283236980438,
0.01359825860708952,
-0.0925167128443718,
-0.023168396204710007,
0.020329438149929047,
0.011853642761707306,
-0.1359567642211914,
0.050079476088285446,
0.13670556247234344,
-0.02946370095014572,
0.005384095478802919,
-0.0055200387723743916,
-0.02337418496608734,
0.049730174243450165,
-0.05565880611538887,
0.045861922204494476,
-0.03536035865545273,
-0.09558875858783722,
-0.02579728327691555,
0.024150265380740166,
-0.0182266216725111,
0.0439387746155262,
-0.012758197262883186,
-0.06457153707742691,
-0.0462084598839283,
0.058202002197504044,
-0.12720023095607758,
-0.0006340764812193811,
-0.035624343901872635,
0.03383639454841614,
-0.004435091745108366,
0.020828576758503914,
-0.02368908002972603,
-0.03876741975545883,
0.05538112297654152,
0.010868900455534458,
0.019231479614973068,
-0.010183307342231274,
-0.03149860352277756,
-0.021130075678229332,
-0.043560177087783813,
0.07887475192546844,
0.03400629013776779,
0.038783710449934006,
-0.014257176779210567,
-0.027462057769298553,
-0.057226765900850296,
0.10646939277648926,
0.022614214569330215,
-0.0649237334728241,
-0.00673093693330884,
-0.0025920725893229246,
-0.017536213621497154,
0.006335253827273846,
0.057563524693250656,
-0.02321511320769787,
-0.037610262632369995,
-0.014943166635930538,
0.08976981043815613,
-0.019383586943149567,
0.05680271238088608,
0.08910539001226425,
-0.07502484321594238,
0.09121321141719818,
0.03487439081072807,
0.012139666825532913,
0.041927505284547806,
-0.03536514565348625,
0.0975416824221611,
0.0037233280017971992,
0.05126667022705078,
0.05667711794376373,
0.033290568739175797,
0.10672180354595184,
0.02222704142332077,
-0.02134653367102146,
-0.10596849024295807,
-0.030878890305757523,
-0.007497065234929323,
-4.6871882375398854e-8,
-0.06568683683872223,
-0.028289444744586945,
0.01078745536506176,
0.04846257343888283,
-0.019018467515707016,
0.09887382388114929,
0.03379013389348984,
0.09321163594722748,
-0.0725393146276474,
0.08059542626142502,
0.0739717036485672,
0.024748852476477623,
-0.061193447560071945,
-0.02850640006363392,
-0.01707179844379425,
-0.07673972845077515,
0.0054174019023776054,
-0.009311568923294544,
-0.0044355327263474464,
0.04980982840061188,
-0.06147727370262146,
-0.013449124991893768,
-0.06156193092465401,
-0.004114012233912945,
0.010580691508948803,
-0.0933307558298111,
-0.04482918977737427,
0.04015456512570381,
0.02734404429793358,
0.05693339183926582,
-0.036004211753606796,
-0.06645370274782181,
0.05187408626079559,
-0.011785004287958145,
-0.09141406416893005,
0.10446623712778091,
-0.046963855624198914,
0.027869874611496925,
-0.053249940276145935,
0.060445621609687805,
0.003775467397645116,
-0.02250904031097889,
-0.0067602600902318954,
-0.004103603307157755,
-0.006717342883348465,
-0.005691859871149063,
-0.01577303744852543,
-0.036805108189582825,
0.016361599788069725,
-0.08506981283426285,
-0.009791967459022999,
-0.08068051189184189,
-0.024307897314429283,
0.01479004230350256,
0.039384398609399796,
-0.05076869577169418,
-0.02203434519469738,
0.028614455834031105,
0.0720868855714798,
0.014178339391946793,
0.02017299458384514,
-0.0833960548043251,
-0.03993738070130348,
-0.03639019653201103
] | null | null | null | null | null | null | null | [
-0.09948870539665222,
-0.015707483515143394,
-0.0090330196544528,
0.03261673450469971,
0.04150984808802605,
-0.020756591111421585,
0.03167589753866196,
-0.032651640474796295,
0.06397107243537903,
-0.040673159062862396,
0.06323216110467911,
-0.05270925536751747,
0.09919998049736023,
0.012971939519047737,
-0.04317663237452507,
0.02696184441447258,
0.03213280066847801,
0.05750067159533501,
-0.0066587477922439575,
-0.007145123090595007,
0.002662760205566883,
-0.018185406923294067,
0.03630724176764488,
0.029295455664396286,
0.09595004469156265,
-0.056483715772628784,
0.00013132061576470733,
0.05743979290127754,
-0.02779429778456688,
0.0001348235527984798,
0.09024053812026978,
0.024239132180809975,
0.04333972558379173,
0.004176892805844545,
-0.014512188732624054,
-0.034424472600221634,
0.009822051040828228,
0.020194856449961662,
-0.02949787676334381,
0.041732579469680786,
0.02121034450829029,
-0.02040674537420273,
0.012014302425086498,
0.05952070280909538,
-0.0457226000726223,
0.05744566395878792,
-0.016198981553316116,
0.10680363327264786,
-0.08592386543750763,
0.03604121506214142,
-0.06719425320625305,
-0.04105093702673912,
-0.06224394962191582,
0.010124697349965572,
0.007658271584659815,
-0.0752449482679367,
-0.029073970392346382,
-0.01726250909268856,
-0.02996470220386982,
0.051346153020858765,
0.10247529298067093,
-0.05180012434720993,
-0.0022124401293694973,
0.009777745231986046,
0.022763879969716072,
0.036608003079891205,
0.007470139767974615,
0.04632807523012161,
0.017864635214209557,
0.07367383688688278,
0.07823847979307175,
0.002671030117198825,
-0.10027806460857391,
0.06025990471243858,
-0.025271300226449966,
0.04645022749900818,
-0.01329769566655159,
-0.006738354917615652,
-0.060814131051301956,
0.0071830847300589085,
-0.007698793895542622,
0.034304141998291016,
-0.0018707909621298313,
-0.022246310487389565,
-0.00791681557893753,
-0.022743817418813705,
0.02990231290459633,
-0.08093219995498657,
0.010105198249220848,
0.04350458085536957,
-0.0653049647808075,
0.09178709238767624,
0.0331365130841732,
-0.046060461550951004,
0.04862992465496063,
-0.026732955127954483,
0.041447412222623825,
0.03167290613055229,
0.025207512080669403,
0.10320275276899338,
-0.09177692979574203,
0.01608278974890709,
-0.03041541762650013,
-0.03102252632379532,
0.026043003425002098,
0.10505061596632004,
-0.00872830394655466,
-0.007602677680552006,
0.08161164075136185,
0.11512207984924316,
-0.020173411816358566,
0.027143102139234543,
-0.0578794851899147,
-0.03001551330089569,
0.04341201111674309,
-0.02718520164489746,
0.05677906423807144,
0.05731626972556114,
0.013222183100879192,
0.07035273313522339,
-0.006685999222099781,
0.0032856897450983524,
0.027760440483689308,
-0.09780597686767578,
-0.0007082739612087607,
0.043291911482810974,
-0.07867161929607391,
2.802119005248191e-33,
0.10661441087722778,
0.01954391412436962,
-0.026406481862068176,
-0.052349261939525604,
-0.01179150678217411,
0.020038777962327003,
-0.07539131492376328,
0.03313451260328293,
-0.07725247740745544,
-0.006902230437844992,
-0.034869275987148285,
0.05437891557812691,
0.07794791460037231,
0.00020780244085472077,
0.08618540316820145,
0.04852205887436867,
0.07710599899291992,
0.05273286625742912,
0.0636906549334526,
-0.0315108485519886,
0.15694071352481842,
-0.07042951136827469,
0.016854168847203255,
0.05192102491855621,
0.013361453078687191,
-0.0437779426574707,
-0.005085641052573919,
-0.0320037417113781,
0.03819991648197174,
-0.019897468388080597,
-0.08074869215488434,
0.0350969098508358,
0.06880626827478409,
0.02320057712495327,
0.11181829124689102,
0.0046080355532467365,
-0.02207186445593834,
-0.032893549650907516,
-0.02974395453929901,
-0.05787624418735504,
-0.05372334644198418,
0.047881655395030975,
-0.024761449545621872,
0.019273879006505013,
0.0414106659591198,
0.053761277347803116,
-0.09558635950088501,
0.007065510842949152,
0.04274469614028931,
-0.09698626399040222,
0.030016815289855003,
-0.04208344221115112,
-0.03965471312403679,
0.09938585013151169,
-0.10815764963626862,
0.023937618359923363,
0.0024595570284873247,
0.021461041644215584,
0.01168307475745678,
0.02969919703900814,
-0.01422013808041811,
-0.017956262454390526,
0.07804431021213531,
-0.004471438005566597,
-0.000168584767379798,
-0.015583029948174953,
-0.04600583016872406,
-0.04011174291372299,
0.0518970862030983,
-0.060706403106451035,
0.049851253628730774,
0.06662733107805252,
-0.04384449124336243,
0.005929980892688036,
-0.07706614583730698,
-0.01704910583794117,
-0.04161686450242996,
0.0003083583724219352,
-0.06432691961526871,
0.04348244518041611,
-0.031240539625287056,
-0.00911377277225256,
0.00326225021854043,
-0.018855828791856766,
-0.06523188948631287,
-0.07007398456335068,
0.06724046170711517,
0.06039334461092949,
0.01255196612328291,
0.04145851358771324,
-0.011856503784656525,
-0.028683433309197426,
-0.05365575850009918,
-0.049606069922447205,
0.04062680900096893,
-2.648576116814776e-33,
-0.12126945704221725,
0.02281600795686245,
0.022026067599654198,
0.009836755692958832,
-0.039545778185129166,
-0.043165840208530426,
-0.0017593364464119077,
0.04471385478973389,
-0.03998100012540817,
0.04528234899044037,
-0.10510887205600739,
-0.07493141293525696,
0.04770500957965851,
-0.08656689524650574,
-0.01977819949388504,
0.024550937116146088,
0.030042283236980438,
0.01359825860708952,
-0.0925167128443718,
-0.023168396204710007,
0.020329438149929047,
0.011853642761707306,
-0.1359567642211914,
0.050079476088285446,
0.13670556247234344,
-0.02946370095014572,
0.005384095478802919,
-0.0055200387723743916,
-0.02337418496608734,
0.049730174243450165,
-0.05565880611538887,
0.045861922204494476,
-0.03536035865545273,
-0.09558875858783722,
-0.02579728327691555,
0.024150265380740166,
-0.0182266216725111,
0.0439387746155262,
-0.012758197262883186,
-0.06457153707742691,
-0.0462084598839283,
0.058202002197504044,
-0.12720023095607758,
-0.0006340764812193811,
-0.035624343901872635,
0.03383639454841614,
-0.004435091745108366,
0.020828576758503914,
-0.02368908002972603,
-0.03876741975545883,
0.05538112297654152,
0.010868900455534458,
0.019231479614973068,
-0.010183307342231274,
-0.03149860352277756,
-0.021130075678229332,
-0.043560177087783813,
0.07887475192546844,
0.03400629013776779,
0.038783710449934006,
-0.014257176779210567,
-0.027462057769298553,
-0.057226765900850296,
0.10646939277648926,
0.022614214569330215,
-0.0649237334728241,
-0.00673093693330884,
-0.0025920725893229246,
-0.017536213621497154,
0.006335253827273846,
0.057563524693250656,
-0.02321511320769787,
-0.037610262632369995,
-0.014943166635930538,
0.08976981043815613,
-0.019383586943149567,
0.05680271238088608,
0.08910539001226425,
-0.07502484321594238,
0.09121321141719818,
0.03487439081072807,
0.012139666825532913,
0.041927505284547806,
-0.03536514565348625,
0.0975416824221611,
0.0037233280017971992,
0.05126667022705078,
0.05667711794376373,
0.033290568739175797,
0.10672180354595184,
0.02222704142332077,
-0.02134653367102146,
-0.10596849024295807,
-0.030878890305757523,
-0.007497065234929323,
-4.6871882375398854e-8,
-0.06568683683872223,
-0.028289444744586945,
0.01078745536506176,
0.04846257343888283,
-0.019018467515707016,
0.09887382388114929,
0.03379013389348984,
0.09321163594722748,
-0.0725393146276474,
0.08059542626142502,
0.0739717036485672,
0.024748852476477623,
-0.061193447560071945,
-0.02850640006363392,
-0.01707179844379425,
-0.07673972845077515,
0.0054174019023776054,
-0.009311568923294544,
-0.0044355327263474464,
0.04980982840061188,
-0.06147727370262146,
-0.013449124991893768,
-0.06156193092465401,
-0.004114012233912945,
0.010580691508948803,
-0.0933307558298111,
-0.04482918977737427,
0.04015456512570381,
0.02734404429793358,
0.05693339183926582,
-0.036004211753606796,
-0.06645370274782181,
0.05187408626079559,
-0.011785004287958145,
-0.09141406416893005,
0.10446623712778091,
-0.046963855624198914,
0.027869874611496925,
-0.053249940276145935,
0.060445621609687805,
0.003775467397645116,
-0.02250904031097889,
-0.0067602600902318954,
-0.004103603307157755,
-0.006717342883348465,
-0.005691859871149063,
-0.01577303744852543,
-0.036805108189582825,
0.016361599788069725,
-0.08506981283426285,
-0.009791967459022999,
-0.08068051189184189,
-0.024307897314429283,
0.01479004230350256,
0.039384398609399796,
-0.05076869577169418,
-0.02203434519469738,
0.028614455834031105,
0.0720868855714798,
0.014178339391946793,
0.02017299458384514,
-0.0833960548043251,
-0.03993738070130348,
-0.03639019653201103
] |
1401.0461 | Boris Gralak | Boris Gralak, Michel Lequime, Myriam Zerrad, Claude Amra | Phase retrieval of reflection and transmission coefficients from
Kramers-Kronig relations | submitted for publication | null | 10.1364/JOSAA.32.000456 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Analytic and passivity properties of reflection and transmission coefficients
of thin-film multilayered stacks are investigated. Using a rigorous formalism
based on the inverse Helmholtz operator, properties associated to causality
principle and passivity are established when both temporal frequency and
spatial wavevector are continued in the complex plane. This result extends the
range of situations where the Kramers-Kronig relations can be used to deduce
the phase from the intensity. In particular, it is rigorously shown that
Kramers-Kronig relations for reflection and transmission coefficients remain
valid at a fixed angle of incidence. Possibilities to exploit the new
relationships are discussed.
| [
{
"created": "Thu, 2 Jan 2014 16:04:00 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Gralak",
"Boris",
""
],
[
"Lequime",
"Michel",
""
],
[
"Zerrad",
"Myriam",
""
],
[
"Amra",
"Claude",
""
]
] | [
-0.010991287417709827,
-0.010833789594471455,
0.06716234982013702,
0.006663444917649031,
-0.020301274955272675,
0.01604178361594677,
0.026377134025096893,
0.028881991282105446,
-0.017270175740122795,
-0.020779669284820557,
-0.01430994737893343,
-0.04359268397092819,
-0.01119083259254694,
0.0021873507648706436,
0.007596991956233978,
-0.027270356193184853,
-0.012811509892344475,
-0.009635127149522305,
0.040714964270591736,
-0.03192716836929321,
0.0030915369279682636,
-0.06660982221364975,
-0.09245990961790085,
-0.084774449467659,
-0.025348301976919174,
-0.006917603313922882,
0.0036802885588258505,
-0.01760821044445038,
-0.00005019525997340679,
0.04245692491531372,
0.006898962426930666,
0.040283940732479095,
-0.08283689618110657,
0.021548056975007057,
-0.10338441282510757,
-0.012604222632944584,
0.02922293357551098,
-0.023438412696123123,
-0.026655543595552444,
0.015453157015144825,
0.028224505484104156,
0.057117760181427,
-0.020015770569443703,
-0.035189900547266006,
0.0031352832447737455,
-0.016698427498340607,
0.07464554160833359,
0.03037160262465477,
-0.06561625003814697,
-0.04576123133301735,
0.023447716608643532,
0.04673246666789055,
-0.01013889629393816,
-0.014104524627327919,
0.044054631143808365,
0.03571263700723648,
0.054333481937646866,
0.049726855009794235,
-0.02641075663268566,
0.08253926038742065,
0.0021811507176607847,
-0.05472835153341293,
-0.006987422704696655,
-0.017796823754906654,
0.11215261369943619,
0.03181301802396774,
-0.029225492849946022,
0.08446251600980759,
-0.011641567572951317,
0.022025084123015404,
-0.05053861066699028,
-0.003305635880678892,
-0.0233828816562891,
-0.11888302862644196,
0.09944171458482742,
0.02711859531700611,
-0.07512228190898895,
0.04684567451477051,
-0.07583575695753098,
-0.06907463073730469,
0.024841969832777977,
-0.07388628274202347,
-0.018476370722055435,
-0.03695372864603996,
-0.032722488045692444,
0.019772933796048164,
-0.06655397266149521,
-0.0005545426392927766,
-0.03693489357829094,
0.07162564247846603,
0.06735412031412125,
0.018349379301071167,
-0.07491693645715714,
-0.03581314906477928,
0.050643354654312134,
-0.10741245001554489,
-0.06341388076543808,
-0.046439021825790405,
0.051789283752441406,
-0.0016071731224656105,
-0.008394203148782253,
-0.08954111486673355,
-0.002351910574361682,
0.05656992644071579,
-0.03984102979302406,
0.019011029973626137,
0.042625922709703445,
0.04199231415987015,
-0.18257366120815277,
-0.030544890090823174,
-0.021269138902425766,
0.02671942301094532,
0.04234738275408745,
-0.014148873277008533,
0.033190518617630005,
-0.0658268854022026,
0.06383103132247925,
0.04346175491809845,
-0.04123977571725845,
-0.024415273219347,
-0.029041223227977753,
0.019197195768356323,
-0.025148477405309677,
-0.010317035019397736,
0.0007311705267056823,
-0.041235022246837616,
0.09476695954799652,
3.179424773871313e-34,
-0.029532212764024734,
0.09942324459552765,
-0.03340654447674751,
-0.016626548022031784,
-0.05397258326411247,
-0.01727646216750145,
0.09250163286924362,
0.024980250746011734,
0.02319417893886566,
-0.029255781322717667,
-0.03065127693116665,
0.057441603392362595,
-0.025820016860961914,
0.03564450889825821,
0.0019327496411278844,
0.09020458161830902,
0.059011802077293396,
0.03255632892251015,
-0.03540855646133423,
0.02509789913892746,
0.041172903031110764,
-0.01125911995768547,
0.0016935114981606603,
-0.03337010368704796,
0.01070206705480814,
-0.13465110957622528,
-0.061400510370731354,
-0.008524490520358086,
-0.06806903332471848,
0.013708681799471378,
0.04313897341489792,
0.00614470848813653,
0.05865435674786568,
-0.06696733087301254,
-0.02317374385893345,
0.011076846159994602,
-0.021256210282444954,
-0.011302689090371132,
0.0023027081042528152,
-0.006448227446526289,
-0.02140122652053833,
-0.004933221265673637,
0.026066049933433533,
0.08056233823299408,
-0.0764484703540802,
-0.026143115013837814,
-0.0049341288395226,
0.05998155102133751,
0.012390481308102608,
-0.00519915483891964,
-0.01678605191409588,
-0.08125580102205276,
-0.05296453461050987,
-0.10418906807899475,
0.10771988332271576,
0.0974622368812561,
0.012734724208712578,
0.00800303928554058,
0.018210895359516144,
-0.012710310518741608,
0.014067472890019417,
0.04940798133611679,
-0.054350439459085464,
-0.01707693189382553,
0.013611198402941227,
0.02712307684123516,
0.014017540030181408,
0.013542341999709606,
-0.05947914347052574,
-0.021447371691465378,
0.02959638647735119,
0.10184531658887863,
-0.05674270540475845,
-0.0027043025474995375,
0.12770451605319977,
0.024666182696819305,
-0.09137392789125443,
-0.01857912912964821,
0.13107231259346008,
0.04880239814519882,
-0.09602188318967819,
0.02260337397456169,
-0.039943110197782516,
-0.06976600736379623,
-0.03680810704827309,
0.10811157524585724,
0.013054147362709045,
0.0006964817293919623,
-0.029613394290208817,
0.01332008745521307,
0.006531419698148966,
-0.002480585826560855,
0.0012395215453580022,
-0.01172732561826706,
0.030472518876194954,
-4.3549655934546566e-33,
0.006543491967022419,
-0.04412676766514778,
0.006768121849745512,
-0.05405241996049881,
-0.02579236961901188,
-0.011284367181360722,
0.03002847544848919,
0.09731825441122055,
-0.03839845210313797,
0.033982694149017334,
0.06909723579883575,
0.036168914288282394,
-0.08652428537607193,
0.03508545458316803,
-0.07991538196802139,
0.028119513764977455,
-0.018710704520344734,
-0.07234373688697815,
0.025725923478603363,
-0.08935494720935822,
0.008750305511057377,
-0.05364066734910011,
0.1033315658569336,
0.05414252728223801,
-0.08579530566930771,
-0.07337650656700134,
0.025426767766475677,
0.0288118626922369,
0.02645913138985634,
0.05792710930109024,
-0.03541567176580429,
-0.02105165272951126,
0.03569495677947998,
0.01627832092344761,
0.028115035966038704,
0.07114563137292862,
0.0649806410074234,
-0.0812891498208046,
-0.055994920432567596,
-0.0804639607667923,
-0.045008204877376556,
0.058969683945178986,
-0.0038838943000882864,
-0.07122237235307693,
-0.03912902995944023,
0.025904877111315727,
-0.041649796068668365,
0.037104908376932144,
0.0036879447288811207,
-0.09356153011322021,
-0.025868749246001244,
-0.03393600881099701,
0.10467331111431122,
-0.026559507474303246,
0.06299346685409546,
0.06337010115385056,
0.014245813712477684,
-0.03208949416875839,
0.10053464025259018,
-0.01221997756510973,
-0.027421962469816208,
-0.06621702015399933,
-0.05805652216076851,
-0.0574910007417202,
0.0309884175658226,
-0.027795668691396713,
0.07063868641853333,
-0.08685676008462906,
0.032183125615119934,
-0.01558856014162302,
0.034936897456645966,
0.017302073538303375,
0.01507342979311943,
-0.07220793515443802,
-0.05234493687748909,
-0.024357642978429794,
0.028399279341101646,
0.07337546348571777,
-0.06898191571235657,
0.020855600014328957,
0.022883733734488487,
0.05788873881101608,
0.015803351998329163,
0.030604848638176918,
-0.012619424611330032,
-0.026850102469325066,
-0.03419364243745804,
-0.056042421609163284,
0.048552729189395905,
0.045477449893951416,
0.06145096197724342,
0.020884379744529724,
0.027686135843396187,
-0.042811330407857895,
0.043068673461675644,
-5.096887178979159e-8,
0.08473455905914307,
-0.013743476010859013,
0.06560324877500534,
-0.12302982062101364,
-0.048438578844070435,
-0.062164343893527985,
0.008899961598217487,
-0.08571068942546844,
0.0436609722673893,
-0.07313266396522522,
-0.0036812638863921165,
-0.030313663184642792,
-0.002279285341501236,
0.000229904631851241,
0.004413105081766844,
0.00021597131853923202,
0.010120190680027008,
-0.02287457510828972,
0.025690758600831032,
0.016230668872594833,
-0.025642219930887222,
-0.059235040098428726,
0.07496234029531479,
0.02815278433263302,
0.007659851107746363,
0.05734960734844208,
-0.020473815500736237,
-0.10283948481082916,
0.03842936456203461,
0.04383036494255066,
0.005411910358816385,
-0.031516943126916885,
-0.04095819219946861,
0.11506310850381851,
-0.018696878105401993,
-0.027476133778691292,
-0.00915511604398489,
-0.05201339349150658,
-0.09401852637529373,
0.07209200412034988,
0.03846818208694458,
0.06047667935490608,
0.06165953725576401,
0.028529230505228043,
0.15476351976394653,
0.05260424315929413,
0.044876258820295334,
0.0655655562877655,
-0.05884300917387009,
-0.06082965433597565,
-0.06307801604270935,
0.008913138881325722,
-0.04811887443065643,
0.11567065864801407,
0.023877358064055443,
-0.061818625777959824,
-0.025649020448327065,
0.006139594130218029,
-0.004070896655321121,
-0.02597896382212639,
0.04424899443984032,
0.06260618567466736,
-0.045527730137109756,
0.014687525108456612
] | null | null | null | null | null | null | null | [
-0.010991287417709827,
-0.010833789594471455,
0.06716234982013702,
0.006663444917649031,
-0.020301274955272675,
0.01604178361594677,
0.026377134025096893,
0.028881991282105446,
-0.017270175740122795,
-0.020779669284820557,
-0.01430994737893343,
-0.04359268397092819,
-0.01119083259254694,
0.0021873507648706436,
0.007596991956233978,
-0.027270356193184853,
-0.012811509892344475,
-0.009635127149522305,
0.040714964270591736,
-0.03192716836929321,
0.0030915369279682636,
-0.06660982221364975,
-0.09245990961790085,
-0.084774449467659,
-0.025348301976919174,
-0.006917603313922882,
0.0036802885588258505,
-0.01760821044445038,
-0.00005019525997340679,
0.04245692491531372,
0.006898962426930666,
0.040283940732479095,
-0.08283689618110657,
0.021548056975007057,
-0.10338441282510757,
-0.012604222632944584,
0.02922293357551098,
-0.023438412696123123,
-0.026655543595552444,
0.015453157015144825,
0.028224505484104156,
0.057117760181427,
-0.020015770569443703,
-0.035189900547266006,
0.0031352832447737455,
-0.016698427498340607,
0.07464554160833359,
0.03037160262465477,
-0.06561625003814697,
-0.04576123133301735,
0.023447716608643532,
0.04673246666789055,
-0.01013889629393816,
-0.014104524627327919,
0.044054631143808365,
0.03571263700723648,
0.054333481937646866,
0.049726855009794235,
-0.02641075663268566,
0.08253926038742065,
0.0021811507176607847,
-0.05472835153341293,
-0.006987422704696655,
-0.017796823754906654,
0.11215261369943619,
0.03181301802396774,
-0.029225492849946022,
0.08446251600980759,
-0.011641567572951317,
0.022025084123015404,
-0.05053861066699028,
-0.003305635880678892,
-0.0233828816562891,
-0.11888302862644196,
0.09944171458482742,
0.02711859531700611,
-0.07512228190898895,
0.04684567451477051,
-0.07583575695753098,
-0.06907463073730469,
0.024841969832777977,
-0.07388628274202347,
-0.018476370722055435,
-0.03695372864603996,
-0.032722488045692444,
0.019772933796048164,
-0.06655397266149521,
-0.0005545426392927766,
-0.03693489357829094,
0.07162564247846603,
0.06735412031412125,
0.018349379301071167,
-0.07491693645715714,
-0.03581314906477928,
0.050643354654312134,
-0.10741245001554489,
-0.06341388076543808,
-0.046439021825790405,
0.051789283752441406,
-0.0016071731224656105,
-0.008394203148782253,
-0.08954111486673355,
-0.002351910574361682,
0.05656992644071579,
-0.03984102979302406,
0.019011029973626137,
0.042625922709703445,
0.04199231415987015,
-0.18257366120815277,
-0.030544890090823174,
-0.021269138902425766,
0.02671942301094532,
0.04234738275408745,
-0.014148873277008533,
0.033190518617630005,
-0.0658268854022026,
0.06383103132247925,
0.04346175491809845,
-0.04123977571725845,
-0.024415273219347,
-0.029041223227977753,
0.019197195768356323,
-0.025148477405309677,
-0.010317035019397736,
0.0007311705267056823,
-0.041235022246837616,
0.09476695954799652,
3.179424773871313e-34,
-0.029532212764024734,
0.09942324459552765,
-0.03340654447674751,
-0.016626548022031784,
-0.05397258326411247,
-0.01727646216750145,
0.09250163286924362,
0.024980250746011734,
0.02319417893886566,
-0.029255781322717667,
-0.03065127693116665,
0.057441603392362595,
-0.025820016860961914,
0.03564450889825821,
0.0019327496411278844,
0.09020458161830902,
0.059011802077293396,
0.03255632892251015,
-0.03540855646133423,
0.02509789913892746,
0.041172903031110764,
-0.01125911995768547,
0.0016935114981606603,
-0.03337010368704796,
0.01070206705480814,
-0.13465110957622528,
-0.061400510370731354,
-0.008524490520358086,
-0.06806903332471848,
0.013708681799471378,
0.04313897341489792,
0.00614470848813653,
0.05865435674786568,
-0.06696733087301254,
-0.02317374385893345,
0.011076846159994602,
-0.021256210282444954,
-0.011302689090371132,
0.0023027081042528152,
-0.006448227446526289,
-0.02140122652053833,
-0.004933221265673637,
0.026066049933433533,
0.08056233823299408,
-0.0764484703540802,
-0.026143115013837814,
-0.0049341288395226,
0.05998155102133751,
0.012390481308102608,
-0.00519915483891964,
-0.01678605191409588,
-0.08125580102205276,
-0.05296453461050987,
-0.10418906807899475,
0.10771988332271576,
0.0974622368812561,
0.012734724208712578,
0.00800303928554058,
0.018210895359516144,
-0.012710310518741608,
0.014067472890019417,
0.04940798133611679,
-0.054350439459085464,
-0.01707693189382553,
0.013611198402941227,
0.02712307684123516,
0.014017540030181408,
0.013542341999709606,
-0.05947914347052574,
-0.021447371691465378,
0.02959638647735119,
0.10184531658887863,
-0.05674270540475845,
-0.0027043025474995375,
0.12770451605319977,
0.024666182696819305,
-0.09137392789125443,
-0.01857912912964821,
0.13107231259346008,
0.04880239814519882,
-0.09602188318967819,
0.02260337397456169,
-0.039943110197782516,
-0.06976600736379623,
-0.03680810704827309,
0.10811157524585724,
0.013054147362709045,
0.0006964817293919623,
-0.029613394290208817,
0.01332008745521307,
0.006531419698148966,
-0.002480585826560855,
0.0012395215453580022,
-0.01172732561826706,
0.030472518876194954,
-4.3549655934546566e-33,
0.006543491967022419,
-0.04412676766514778,
0.006768121849745512,
-0.05405241996049881,
-0.02579236961901188,
-0.011284367181360722,
0.03002847544848919,
0.09731825441122055,
-0.03839845210313797,
0.033982694149017334,
0.06909723579883575,
0.036168914288282394,
-0.08652428537607193,
0.03508545458316803,
-0.07991538196802139,
0.028119513764977455,
-0.018710704520344734,
-0.07234373688697815,
0.025725923478603363,
-0.08935494720935822,
0.008750305511057377,
-0.05364066734910011,
0.1033315658569336,
0.05414252728223801,
-0.08579530566930771,
-0.07337650656700134,
0.025426767766475677,
0.0288118626922369,
0.02645913138985634,
0.05792710930109024,
-0.03541567176580429,
-0.02105165272951126,
0.03569495677947998,
0.01627832092344761,
0.028115035966038704,
0.07114563137292862,
0.0649806410074234,
-0.0812891498208046,
-0.055994920432567596,
-0.0804639607667923,
-0.045008204877376556,
0.058969683945178986,
-0.0038838943000882864,
-0.07122237235307693,
-0.03912902995944023,
0.025904877111315727,
-0.041649796068668365,
0.037104908376932144,
0.0036879447288811207,
-0.09356153011322021,
-0.025868749246001244,
-0.03393600881099701,
0.10467331111431122,
-0.026559507474303246,
0.06299346685409546,
0.06337010115385056,
0.014245813712477684,
-0.03208949416875839,
0.10053464025259018,
-0.01221997756510973,
-0.027421962469816208,
-0.06621702015399933,
-0.05805652216076851,
-0.0574910007417202,
0.0309884175658226,
-0.027795668691396713,
0.07063868641853333,
-0.08685676008462906,
0.032183125615119934,
-0.01558856014162302,
0.034936897456645966,
0.017302073538303375,
0.01507342979311943,
-0.07220793515443802,
-0.05234493687748909,
-0.024357642978429794,
0.028399279341101646,
0.07337546348571777,
-0.06898191571235657,
0.020855600014328957,
0.022883733734488487,
0.05788873881101608,
0.015803351998329163,
0.030604848638176918,
-0.012619424611330032,
-0.026850102469325066,
-0.03419364243745804,
-0.056042421609163284,
0.048552729189395905,
0.045477449893951416,
0.06145096197724342,
0.020884379744529724,
0.027686135843396187,
-0.042811330407857895,
0.043068673461675644,
-5.096887178979159e-8,
0.08473455905914307,
-0.013743476010859013,
0.06560324877500534,
-0.12302982062101364,
-0.048438578844070435,
-0.062164343893527985,
0.008899961598217487,
-0.08571068942546844,
0.0436609722673893,
-0.07313266396522522,
-0.0036812638863921165,
-0.030313663184642792,
-0.002279285341501236,
0.000229904631851241,
0.004413105081766844,
0.00021597131853923202,
0.010120190680027008,
-0.02287457510828972,
0.025690758600831032,
0.016230668872594833,
-0.025642219930887222,
-0.059235040098428726,
0.07496234029531479,
0.02815278433263302,
0.007659851107746363,
0.05734960734844208,
-0.020473815500736237,
-0.10283948481082916,
0.03842936456203461,
0.04383036494255066,
0.005411910358816385,
-0.031516943126916885,
-0.04095819219946861,
0.11506310850381851,
-0.018696878105401993,
-0.027476133778691292,
-0.00915511604398489,
-0.05201339349150658,
-0.09401852637529373,
0.07209200412034988,
0.03846818208694458,
0.06047667935490608,
0.06165953725576401,
0.028529230505228043,
0.15476351976394653,
0.05260424315929413,
0.044876258820295334,
0.0655655562877655,
-0.05884300917387009,
-0.06082965433597565,
-0.06307801604270935,
0.008913138881325722,
-0.04811887443065643,
0.11567065864801407,
0.023877358064055443,
-0.061818625777959824,
-0.025649020448327065,
0.006139594130218029,
-0.004070896655321121,
-0.02597896382212639,
0.04424899443984032,
0.06260618567466736,
-0.045527730137109756,
0.014687525108456612
] |
1401.0463 | Rodrigo de Lamare | Rodrigo C. de Lamare and Raimundo Sampaio-Neto | Sparsity-Aware Adaptive Algorithms Based on Alternating Optimization
with Shrinkage | 10 pages, 3 figures. IEEE Signal Processing Letters, 2014 | null | null | null | cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This letter proposes a novel sparsity-aware adaptive filtering scheme and
algorithms based on an alternating optimization strategy with shrinkage. The
proposed scheme employs a two-stage structure that consists of an alternating
optimization of a diagonally-structured matrix that speeds up the convergence
and an adaptive filter with a shrinkage function that forces the coefficients
with small magnitudes to zero. We devise alternating optimization least-mean
square (LMS) algorithms for the proposed scheme and analyze its mean-square
error. Simulations for a system identification application show that the
proposed scheme and algorithms outperform in convergence and tracking existing
sparsity-aware algorithms.
| [
{
"created": "Thu, 2 Jan 2014 16:15:09 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"de Lamare",
"Rodrigo C.",
""
],
[
"Sampaio-Neto",
"Raimundo",
""
]
] | [
-0.0031883770134299994,
-0.0019058975158259273,
-0.011095460504293442,
0.08027192205190659,
0.004105727653950453,
-0.04146207869052887,
-0.015549257397651672,
-0.08204565942287445,
-0.01226777397096157,
-0.03709815815091133,
-0.000842577195726335,
0.06102317199110985,
0.028925608843564987,
-0.0127917705103755,
-0.11922473460435867,
-0.010316463187336922,
0.004297896288335323,
0.03498740866780281,
0.04922100901603699,
-0.06354457139968872,
-0.015207360498607159,
-0.013698042370378971,
-0.09450800716876984,
-0.016229458153247833,
0.04935125634074211,
-0.017348546534776688,
-0.06768229603767395,
0.03393487259745598,
-0.03972136601805687,
-0.009431883692741394,
0.05768821761012077,
-0.01009282935410738,
0.016044925898313522,
-0.038127388805150986,
0.003522456157952547,
-0.0452478863298893,
0.053997933864593506,
0.10553386807441711,
0.01554363314062357,
0.07202639430761337,
-0.05274364352226257,
0.06352745741605759,
-0.04505854845046997,
0.02318124659359455,
-0.02513248845934868,
0.046704284846782684,
0.006354029756039381,
-0.1428723931312561,
0.05465482547879219,
0.013368076644837856,
0.02848915569484234,
0.01362553145736456,
-0.009648156352341175,
-0.04359306022524834,
-0.022131089121103287,
-0.055823661386966705,
-0.11149327456951141,
0.0479569211602211,
0.00800123531371355,
0.037012919783592224,
-0.03984993323683739,
-0.1208190992474556,
0.08752143383026123,
0.07445742934942245,
0.019908176735043526,
0.02635633945465088,
0.0537833496928215,
0.02245558612048626,
-0.013949443586170673,
0.017815161496400833,
-0.09739548712968826,
0.0395575575530529,
0.010518142022192478,
0.025461284443736076,
0.00703509571030736,
-0.0383719727396965,
-0.03895150125026703,
0.05928977206349373,
0.014524202793836594,
0.07917970418930054,
-0.016843630000948906,
-0.0015407666796818376,
-0.025787804275751114,
0.013743210583925247,
0.07900170981884003,
-0.03175581246614456,
-0.04314079135656357,
-0.08204551786184311,
0.051694583147764206,
-0.027605658397078514,
-0.005727422423660755,
-0.0635373517870903,
-0.050206251442432404,
0.018105508759617805,
-0.025297829881310463,
-0.04708104580640793,
0.01856873370707035,
0.017900284379720688,
0.032423656433820724,
0.07663547992706299,
0.004880283959209919,
-0.03694722801446915,
0.03828107565641403,
0.043815042823553085,
0.07845700532197952,
-0.02661125548183918,
0.04636114090681076,
0.058000847697257996,
0.03411974757909775,
-0.026725566014647484,
-0.023396117612719536,
0.12145055085420609,
0.0016666488954797387,
0.03877284377813339,
-0.022352905943989754,
-0.012118429876863956,
0.043412946164608,
-0.06114664301276207,
0.037821270525455475,
0.02150682732462883,
-0.03360779583454132,
-0.05948302149772644,
-0.00333938910625875,
0.003434821031987667,
0.11372870206832886,
0.06886070966720581,
-0.03864164650440216,
1.9691291321912145e-34,
-0.04470207169651985,
0.0981719121336937,
0.02027246356010437,
-0.09858837723731995,
-0.0479469932615757,
0.015452216379344463,
0.061154697090387344,
0.005821862258017063,
0.002279744716361165,
0.037294283509254456,
-0.006773116998374462,
0.05259550362825394,
-0.07434231787919998,
0.016674330458045006,
-0.0005997000262141228,
-0.022961227223277092,
-0.0002827704884111881,
0.044338010251522064,
0.03270798176527023,
-0.12747547030448914,
0.005251592490822077,
-0.07117752730846405,
0.036471929401159286,
-0.08354055881500244,
0.01782318204641342,
-0.054041214287281036,
0.0821724683046341,
-0.01965370588004589,
-0.000018151164113078266,
0.0005179911968298256,
-0.02275703474879265,
0.05195501446723938,
0.05025271698832512,
-0.0017468890873715281,
0.027689076960086823,
-0.03885996714234352,
0.026537762954831123,
-0.018983840942382812,
0.06101599708199501,
0.00842034537345171,
-0.006789453327655792,
0.05217217281460762,
0.04044652730226517,
-0.11690377444028854,
-0.08586286753416061,
-0.019913550466299057,
-0.004116745665669441,
-0.025224698707461357,
-0.05605108290910721,
-0.05171002447605133,
0.012116680853068829,
-0.0686890259385109,
-0.04687534272670746,
0.054923828691244125,
0.0805068165063858,
-0.10043111443519592,
-0.08042978495359421,
0.026263602077960968,
0.014663961715996265,
0.014225446619093418,
-0.019699735566973686,
-0.03794831037521362,
-0.04054258018732071,
-0.05833790823817253,
0.11762833595275879,
-0.009971993044018745,
0.08352030813694,
-0.0038985474966466427,
-0.03745046630501747,
-0.04362422972917557,
0.06284742802381516,
-0.0548580065369606,
-0.014232545159757137,
0.06209755688905716,
0.0050278035923838615,
-0.09424647688865662,
0.05848391354084015,
-0.10255808383226395,
-0.008718576282262802,
-0.03512190654873848,
-0.0015996245201677084,
0.02647506073117256,
0.02921624667942524,
-0.06854142248630524,
-0.07281240075826645,
-0.08372431248426437,
0.06713980436325073,
-0.036424219608306885,
-0.1075134128332138,
-0.04717622324824333,
-0.06867977231740952,
0.023291347548365593,
0.018544502556324005,
0.0618477426469326,
0.01816822960972786,
-8.107467189567859e-34,
-0.005020875949412584,
-0.04249736666679382,
0.0437047965824604,
0.010796554386615753,
0.050473105162382126,
-0.021803028881549835,
-0.0065669892355799675,
0.048554081469774246,
0.06085541471838951,
-0.0668565183877945,
-0.03991890326142311,
-0.0652797669172287,
-0.041435033082962036,
-0.021767163649201393,
0.010624435730278492,
0.1351604014635086,
-0.03210597112774849,
-0.025161543861031532,
-0.0028101052157580853,
-0.04930083453655243,
-0.06749358773231506,
0.039388060569763184,
0.05965808406472206,
0.022574488073587418,
-0.03230706602334976,
-0.01625926047563553,
-0.005811525974422693,
0.0896715596318245,
0.028488734737038612,
-0.013701150193810463,
-0.07135163247585297,
0.04460529237985611,
-0.022036748006939888,
0.02937370166182518,
-0.0016932241851463914,
0.002413929672911763,
-0.04981454461812973,
0.045594166964292526,
0.052830975502729416,
0.037105485796928406,
-0.01046743430197239,
0.04952174425125122,
-0.006096452008932829,
0.06198486313223839,
0.1199973002076149,
-0.05485530197620392,
-0.011281038634479046,
0.0013888445682823658,
-0.006684250198304653,
-0.04776544123888016,
-0.054413553327322006,
-0.02897939458489418,
0.022124452516436577,
0.016506126150488853,
0.010177714750170708,
0.01668154075741768,
0.013367095962166786,
0.03872242197394371,
0.02387157268822193,
0.018291596323251724,
0.00772877549752593,
-0.04033984988927841,
-0.11169492453336716,
-0.018383782356977463,
-0.003992229700088501,
0.10208676755428314,
0.083217553794384,
0.0028279703110456467,
-0.030095702037215233,
0.06145976483821869,
0.034614574164152145,
0.03699680045247078,
-0.06837892532348633,
0.03664034605026245,
0.019188309088349342,
-0.07141750305891037,
-0.019361793994903564,
-0.06063446030020714,
-0.03701912239193916,
0.024380996823310852,
0.02656007930636406,
0.07737386971712112,
-0.0080034164711833,
0.047065895050764084,
0.027107739821076393,
0.08639523386955261,
0.031187228858470917,
0.02611727826297283,
0.0025279177352786064,
-0.043520644307136536,
0.05061269924044609,
-0.027720097452402115,
0.06739744544029236,
-0.044181086122989655,
-0.025571400299668312,
-4.0308346882511614e-8,
-0.06407418102025986,
-0.01863771118223667,
-0.03125879913568497,
-0.031289003789424896,
-0.003450892399996519,
-0.010848769918084145,
0.017475690692663193,
0.00675479881465435,
-0.014051062054932117,
-0.1597616970539093,
0.05062955990433693,
0.026172053068876266,
0.03683897480368614,
0.011794768273830414,
0.03499731793999672,
0.039711836725473404,
-0.01010851189494133,
0.053332388401031494,
0.023423751816153526,
0.09339191019535065,
-0.021533960476517677,
0.06056857109069824,
-0.010783452540636063,
-0.006583330687135458,
0.04044480621814728,
-0.028724657371640205,
0.08162426948547363,
0.06704976409673691,
0.10739222168922424,
-0.020842108875513077,
-0.00598140200600028,
0.036319851875305176,
0.07106730341911316,
0.04019428417086601,
0.006451499182730913,
0.06300020217895508,
0.05920606106519699,
-0.015374712646007538,
-0.06649256497621536,
-0.07663339376449585,
-0.05153834819793701,
0.03564583137631416,
0.006554702762514353,
-0.061609622091054916,
-0.036948878318071365,
0.042827073484659195,
0.025830242782831192,
-0.10339884459972382,
-0.013359392061829567,
-0.036453090608119965,
0.1830887496471405,
0.02575838565826416,
0.04064730182290077,
0.03363810107111931,
0.06307828426361084,
-0.1168641522526741,
0.022260667756199837,
-0.021853189915418625,
0.046176258474588394,
0.031394511461257935,
-0.0017683118348941207,
-0.03273509442806244,
-0.10262171924114227,
0.03754168376326561
] | null | null | null | null | null | null | null | [
-0.0031883770134299994,
-0.0019058975158259273,
-0.011095460504293442,
0.08027192205190659,
0.004105727653950453,
-0.04146207869052887,
-0.015549257397651672,
-0.08204565942287445,
-0.01226777397096157,
-0.03709815815091133,
-0.000842577195726335,
0.06102317199110985,
0.028925608843564987,
-0.0127917705103755,
-0.11922473460435867,
-0.010316463187336922,
0.004297896288335323,
0.03498740866780281,
0.04922100901603699,
-0.06354457139968872,
-0.015207360498607159,
-0.013698042370378971,
-0.09450800716876984,
-0.016229458153247833,
0.04935125634074211,
-0.017348546534776688,
-0.06768229603767395,
0.03393487259745598,
-0.03972136601805687,
-0.009431883692741394,
0.05768821761012077,
-0.01009282935410738,
0.016044925898313522,
-0.038127388805150986,
0.003522456157952547,
-0.0452478863298893,
0.053997933864593506,
0.10553386807441711,
0.01554363314062357,
0.07202639430761337,
-0.05274364352226257,
0.06352745741605759,
-0.04505854845046997,
0.02318124659359455,
-0.02513248845934868,
0.046704284846782684,
0.006354029756039381,
-0.1428723931312561,
0.05465482547879219,
0.013368076644837856,
0.02848915569484234,
0.01362553145736456,
-0.009648156352341175,
-0.04359306022524834,
-0.022131089121103287,
-0.055823661386966705,
-0.11149327456951141,
0.0479569211602211,
0.00800123531371355,
0.037012919783592224,
-0.03984993323683739,
-0.1208190992474556,
0.08752143383026123,
0.07445742934942245,
0.019908176735043526,
0.02635633945465088,
0.0537833496928215,
0.02245558612048626,
-0.013949443586170673,
0.017815161496400833,
-0.09739548712968826,
0.0395575575530529,
0.010518142022192478,
0.025461284443736076,
0.00703509571030736,
-0.0383719727396965,
-0.03895150125026703,
0.05928977206349373,
0.014524202793836594,
0.07917970418930054,
-0.016843630000948906,
-0.0015407666796818376,
-0.025787804275751114,
0.013743210583925247,
0.07900170981884003,
-0.03175581246614456,
-0.04314079135656357,
-0.08204551786184311,
0.051694583147764206,
-0.027605658397078514,
-0.005727422423660755,
-0.0635373517870903,
-0.050206251442432404,
0.018105508759617805,
-0.025297829881310463,
-0.04708104580640793,
0.01856873370707035,
0.017900284379720688,
0.032423656433820724,
0.07663547992706299,
0.004880283959209919,
-0.03694722801446915,
0.03828107565641403,
0.043815042823553085,
0.07845700532197952,
-0.02661125548183918,
0.04636114090681076,
0.058000847697257996,
0.03411974757909775,
-0.026725566014647484,
-0.023396117612719536,
0.12145055085420609,
0.0016666488954797387,
0.03877284377813339,
-0.022352905943989754,
-0.012118429876863956,
0.043412946164608,
-0.06114664301276207,
0.037821270525455475,
0.02150682732462883,
-0.03360779583454132,
-0.05948302149772644,
-0.00333938910625875,
0.003434821031987667,
0.11372870206832886,
0.06886070966720581,
-0.03864164650440216,
1.9691291321912145e-34,
-0.04470207169651985,
0.0981719121336937,
0.02027246356010437,
-0.09858837723731995,
-0.0479469932615757,
0.015452216379344463,
0.061154697090387344,
0.005821862258017063,
0.002279744716361165,
0.037294283509254456,
-0.006773116998374462,
0.05259550362825394,
-0.07434231787919998,
0.016674330458045006,
-0.0005997000262141228,
-0.022961227223277092,
-0.0002827704884111881,
0.044338010251522064,
0.03270798176527023,
-0.12747547030448914,
0.005251592490822077,
-0.07117752730846405,
0.036471929401159286,
-0.08354055881500244,
0.01782318204641342,
-0.054041214287281036,
0.0821724683046341,
-0.01965370588004589,
-0.000018151164113078266,
0.0005179911968298256,
-0.02275703474879265,
0.05195501446723938,
0.05025271698832512,
-0.0017468890873715281,
0.027689076960086823,
-0.03885996714234352,
0.026537762954831123,
-0.018983840942382812,
0.06101599708199501,
0.00842034537345171,
-0.006789453327655792,
0.05217217281460762,
0.04044652730226517,
-0.11690377444028854,
-0.08586286753416061,
-0.019913550466299057,
-0.004116745665669441,
-0.025224698707461357,
-0.05605108290910721,
-0.05171002447605133,
0.012116680853068829,
-0.0686890259385109,
-0.04687534272670746,
0.054923828691244125,
0.0805068165063858,
-0.10043111443519592,
-0.08042978495359421,
0.026263602077960968,
0.014663961715996265,
0.014225446619093418,
-0.019699735566973686,
-0.03794831037521362,
-0.04054258018732071,
-0.05833790823817253,
0.11762833595275879,
-0.009971993044018745,
0.08352030813694,
-0.0038985474966466427,
-0.03745046630501747,
-0.04362422972917557,
0.06284742802381516,
-0.0548580065369606,
-0.014232545159757137,
0.06209755688905716,
0.0050278035923838615,
-0.09424647688865662,
0.05848391354084015,
-0.10255808383226395,
-0.008718576282262802,
-0.03512190654873848,
-0.0015996245201677084,
0.02647506073117256,
0.02921624667942524,
-0.06854142248630524,
-0.07281240075826645,
-0.08372431248426437,
0.06713980436325073,
-0.036424219608306885,
-0.1075134128332138,
-0.04717622324824333,
-0.06867977231740952,
0.023291347548365593,
0.018544502556324005,
0.0618477426469326,
0.01816822960972786,
-8.107467189567859e-34,
-0.005020875949412584,
-0.04249736666679382,
0.0437047965824604,
0.010796554386615753,
0.050473105162382126,
-0.021803028881549835,
-0.0065669892355799675,
0.048554081469774246,
0.06085541471838951,
-0.0668565183877945,
-0.03991890326142311,
-0.0652797669172287,
-0.041435033082962036,
-0.021767163649201393,
0.010624435730278492,
0.1351604014635086,
-0.03210597112774849,
-0.025161543861031532,
-0.0028101052157580853,
-0.04930083453655243,
-0.06749358773231506,
0.039388060569763184,
0.05965808406472206,
0.022574488073587418,
-0.03230706602334976,
-0.01625926047563553,
-0.005811525974422693,
0.0896715596318245,
0.028488734737038612,
-0.013701150193810463,
-0.07135163247585297,
0.04460529237985611,
-0.022036748006939888,
0.02937370166182518,
-0.0016932241851463914,
0.002413929672911763,
-0.04981454461812973,
0.045594166964292526,
0.052830975502729416,
0.037105485796928406,
-0.01046743430197239,
0.04952174425125122,
-0.006096452008932829,
0.06198486313223839,
0.1199973002076149,
-0.05485530197620392,
-0.011281038634479046,
0.0013888445682823658,
-0.006684250198304653,
-0.04776544123888016,
-0.054413553327322006,
-0.02897939458489418,
0.022124452516436577,
0.016506126150488853,
0.010177714750170708,
0.01668154075741768,
0.013367095962166786,
0.03872242197394371,
0.02387157268822193,
0.018291596323251724,
0.00772877549752593,
-0.04033984988927841,
-0.11169492453336716,
-0.018383782356977463,
-0.003992229700088501,
0.10208676755428314,
0.083217553794384,
0.0028279703110456467,
-0.030095702037215233,
0.06145976483821869,
0.034614574164152145,
0.03699680045247078,
-0.06837892532348633,
0.03664034605026245,
0.019188309088349342,
-0.07141750305891037,
-0.019361793994903564,
-0.06063446030020714,
-0.03701912239193916,
0.024380996823310852,
0.02656007930636406,
0.07737386971712112,
-0.0080034164711833,
0.047065895050764084,
0.027107739821076393,
0.08639523386955261,
0.031187228858470917,
0.02611727826297283,
0.0025279177352786064,
-0.043520644307136536,
0.05061269924044609,
-0.027720097452402115,
0.06739744544029236,
-0.044181086122989655,
-0.025571400299668312,
-4.0308346882511614e-8,
-0.06407418102025986,
-0.01863771118223667,
-0.03125879913568497,
-0.031289003789424896,
-0.003450892399996519,
-0.010848769918084145,
0.017475690692663193,
0.00675479881465435,
-0.014051062054932117,
-0.1597616970539093,
0.05062955990433693,
0.026172053068876266,
0.03683897480368614,
0.011794768273830414,
0.03499731793999672,
0.039711836725473404,
-0.01010851189494133,
0.053332388401031494,
0.023423751816153526,
0.09339191019535065,
-0.021533960476517677,
0.06056857109069824,
-0.010783452540636063,
-0.006583330687135458,
0.04044480621814728,
-0.028724657371640205,
0.08162426948547363,
0.06704976409673691,
0.10739222168922424,
-0.020842108875513077,
-0.00598140200600028,
0.036319851875305176,
0.07106730341911316,
0.04019428417086601,
0.006451499182730913,
0.06300020217895508,
0.05920606106519699,
-0.015374712646007538,
-0.06649256497621536,
-0.07663339376449585,
-0.05153834819793701,
0.03564583137631416,
0.006554702762514353,
-0.061609622091054916,
-0.036948878318071365,
0.042827073484659195,
0.025830242782831192,
-0.10339884459972382,
-0.013359392061829567,
-0.036453090608119965,
0.1830887496471405,
0.02575838565826416,
0.04064730182290077,
0.03363810107111931,
0.06307828426361084,
-0.1168641522526741,
0.022260667756199837,
-0.021853189915418625,
0.046176258474588394,
0.031394511461257935,
-0.0017683118348941207,
-0.03273509442806244,
-0.10262171924114227,
0.03754168376326561
] |
1401.0468 | Mabel Iglesias-Ham | Mabel Iglesias-Ham, Michael Kerber and Caroline Uhler | Sphere Packing with Limited Overlap | 12 pages, 3 figures, submitted to SOCG 2014 | null | null | null | cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical sphere packing problem asks for the best (infinite) arrangement
of non-overlapping unit balls which cover as much space as possible. We define
a generalized version of the problem, where we allow each ball a limited amount
of overlap with other balls. We study two natural choices of overlap measures
and obtain the optimal lattice packings in a parameterized family of lattices
which contains the FCC, BCC, and integer lattice.
| [
{
"created": "Thu, 2 Jan 2014 16:36:24 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Iglesias-Ham",
"Mabel",
""
],
[
"Kerber",
"Michael",
""
],
[
"Uhler",
"Caroline",
""
]
] | [
0.04231596738100052,
0.011897976510226727,
-0.04893839359283447,
-0.044549498707056046,
0.011103098280727863,
0.012397556565701962,
0.09378175437450409,
-0.042401183396577835,
0.019882457330822945,
0.017437279224395752,
-0.0420168973505497,
-0.013645337894558907,
0.03682911396026611,
0.08920589834451675,
-0.004920850042253733,
-0.08238323777914047,
0.08502470701932907,
-0.036687806248664856,
-0.10692814737558365,
0.031044920906424522,
-0.018084270879626274,
-0.01953689195215702,
0.08517961949110031,
0.016585564240813255,
-0.02197679504752159,
-0.01136112492531538,
0.022392423823475838,
-0.027531147003173828,
0.04321017488837242,
-0.009135331027209759,
0.003855855669826269,
-0.030741972848773003,
0.05543673783540726,
0.06926926970481873,
0.03933726251125336,
-0.019806932657957077,
-0.10032603144645691,
-0.005821622908115387,
-0.012587565928697586,
0.040987689048051834,
-0.00004599579187924974,
0.0765404999256134,
0.022318590432405472,
0.07734085619449615,
-0.09175805747509003,
0.05939662083983421,
-0.028254715725779533,
-0.01941877231001854,
-0.011106575839221478,
-0.08535723388195038,
-0.05632399395108223,
-0.007353249471634626,
-0.06198268011212349,
0.06320803612470627,
0.009212546050548553,
-0.041343290358781815,
-0.04184093326330185,
-0.050303686410188675,
0.015260906890034676,
-0.03313501924276352,
-0.014269061386585236,
-0.036052946001291275,
-0.007991638965904713,
-0.022585708647966385,
0.013180548325181007,
0.024654196575284004,
-0.011150671169161797,
0.10930637270212173,
-0.004221120849251747,
0.0770762488245964,
0.04669138416647911,
0.04565374553203583,
-0.10939896106719971,
0.049245212227106094,
0.029549073427915573,
0.05797075480222702,
0.003239136189222336,
-0.022808844223618507,
-0.04631863906979561,
0.007654134649783373,
-0.07188483327627182,
0.02608443610370159,
-0.02783600427210331,
0.051013845950365067,
-0.016677390784025192,
-0.04622580483555794,
-0.03356986865401268,
0.07180781662464142,
0.03930405527353287,
-0.0302472822368145,
0.020132768899202347,
-0.0018878340488299727,
0.05840111896395683,
0.02690912038087845,
-0.0786784440279007,
-0.03761962056159973,
-0.0019398891599848866,
0.03437633439898491,
0.02977376990020275,
0.011764722876250744,
0.03260418400168419,
-0.020291239023208618,
0.07876750081777573,
0.043674077838659286,
0.022584084421396255,
-0.04199685901403427,
-0.03401047736406326,
-0.04875416308641434,
0.017979035153985023,
-0.04029759392142296,
0.07970112562179565,
-0.06393863260746002,
-0.018347112461924553,
0.04170273244380951,
-0.07287375628948212,
0.0007484047673642635,
0.11643633991479874,
0.11614473164081573,
0.03354301303625107,
-0.028493205085396767,
0.07343803346157074,
-0.0552678108215332,
0.021722381934523582,
-0.0009350533946417272,
0.018756750971078873,
0.0691695287823677,
-0.045403484255075455,
1.2399425734805464e-33,
-0.039424829185009,
-0.033605292439460754,
0.03472277149558067,
0.11404415965080261,
0.07355718314647675,
0.01612992212176323,
-0.03420562669634819,
-0.026681333780288696,
0.10257752984762192,
-0.0012442775769159198,
-0.06952386349439621,
0.07420814782381058,
0.069160595536232,
-0.01009452249854803,
0.03018440306186676,
-0.06754885613918304,
-0.036912184208631516,
0.05149563401937485,
0.04479321464896202,
-0.0027251176070421934,
-0.07466438412666321,
-0.08956892788410187,
0.04147469997406006,
0.020219950005412102,
0.014293520711362362,
-0.015607600100338459,
-0.016188178211450577,
-0.05939976125955582,
0.01734963059425354,
0.0069985100999474525,
-0.014734618365764618,
0.034958209842443466,
0.017194371670484543,
0.1189579889178276,
0.09027128666639328,
0.026167210191488266,
-0.0745062455534935,
-0.018766513094305992,
-0.00036455405643209815,
-0.07036124914884567,
-0.010206838138401508,
-0.013239601626992226,
0.03434408828616142,
0.08144132792949677,
0.05015837401151657,
-0.02731567807495594,
-0.007447180803865194,
0.017504114657640457,
0.06414861232042313,
-0.034866057336330414,
0.021682698279619217,
0.015696562826633453,
0.01914583519101143,
-0.06054827943444252,
-0.022425346076488495,
-0.045835405588150024,
-0.053402677178382874,
-0.03388648107647896,
0.019614480435848236,
0.04642841964960098,
0.03292088583111763,
-0.0177402812987566,
0.02604217454791069,
0.05084042623639107,
0.0986311286687851,
-0.03824132680892944,
-0.04111047089099884,
-0.0597623847424984,
0.038956549018621445,
-0.05119144544005394,
-0.012818017043173313,
-0.05818311870098114,
0.020063666626811028,
0.016374099999666214,
-0.031633161008358,
0.02184409834444523,
0.05215532332658768,
-0.03894279524683952,
-0.0002308739785803482,
-0.0885385200381279,
-0.08191238343715668,
-0.023973233997821808,
-0.0013153256149962544,
-0.10461162030696869,
-0.03567608818411827,
0.025026241317391396,
0.018202055245637894,
0.05436309054493904,
0.004365657921880484,
-0.04750164970755577,
-0.016057051718235016,
-0.019681023433804512,
0.03401872143149376,
-0.011204170994460583,
-0.03734320029616356,
-5.669462518603664e-34,
-0.007245231885462999,
-0.055740151554346085,
0.01501535065472126,
0.00872686505317688,
0.06112033873796463,
-0.03817398101091385,
0.011578883044421673,
-0.08566663414239883,
0.035372234880924225,
0.020910201594233513,
-0.03307491913437843,
0.020171500742435455,
0.0648079365491867,
0.04638608172535896,
-0.07408882677555084,
0.037469103932380676,
0.03644120320677757,
-0.06698507815599442,
-0.022319763898849487,
-0.01641416735947132,
-0.02933628298342228,
-0.07041309028863907,
0.05069412663578987,
0.013366634957492352,
-0.07318948954343796,
0.03715793415904045,
-0.05798749253153801,
0.014107898809015751,
-0.029215756803750992,
0.11729082465171814,
-0.004529002588242292,
-0.0361364409327507,
-0.0054596709087491035,
-0.052404046058654785,
0.012363526970148087,
-0.05992182344198227,
-0.004613083321601152,
0.08145200461149216,
0.02222810871899128,
0.027774019166827202,
-0.010883978568017483,
-0.05498464033007622,
-0.0836482048034668,
0.04831387475132942,
0.07229110598564148,
-0.020786168053746223,
0.022771261632442474,
-0.032724570482969284,
-0.08080517500638962,
0.026490885764360428,
-0.0968967080116272,
0.0625433623790741,
0.012060071341693401,
-0.016756832599639893,
0.034719742834568024,
0.0349365659058094,
-0.06769827753305435,
0.06206797808408737,
0.08970773965120316,
-0.07304556667804718,
0.04683849588036537,
0.04202427342534065,
0.060078661888837814,
0.023556478321552277,
0.021876340731978416,
0.05664430558681488,
0.039732713252305984,
-0.0312592051923275,
-0.1034044697880745,
0.06981036812067032,
-0.01765105314552784,
-0.054950371384620667,
0.008559547364711761,
-0.015817388892173767,
-0.09605579078197479,
0.06758128851652145,
0.10771467536687851,
0.04886734113097191,
0.03217361494898796,
0.0390593558549881,
-0.08900170773267746,
0.10168898850679398,
-0.05830537527799606,
0.03528779372572899,
0.009228076785802841,
-0.04277636483311653,
0.10954660922288895,
0.03723727911710739,
-0.029788557440042496,
0.004242540802806616,
0.021721353754401207,
-0.03033529222011566,
0.07311736047267914,
0.026553967967629433,
0.048384662717580795,
-3.3220743489437154e-8,
0.030018331483006477,
-0.035860396921634674,
-0.07050453871488571,
-0.053959205746650696,
0.023345913738012314,
-0.04420933872461319,
0.02247554622590542,
0.05485772714018822,
-0.06852485984563828,
-0.0020473296754062176,
0.061315882951021194,
0.01998879387974739,
-0.01596136763691902,
0.05195104703307152,
-0.06094280257821083,
0.023096725344657898,
-0.10289517790079117,
0.06968658417463303,
-0.041121091693639755,
-0.024707291275262833,
0.010033713653683662,
0.027314551174640656,
0.1255365014076233,
0.07039494067430496,
-0.05373804271221161,
0.051191799342632294,
-0.07086192071437836,
-0.13878068327903748,
0.00229318137280643,
-0.05846148729324341,
0.02449757046997547,
-0.00132209830917418,
0.11459774523973465,
0.04450211673974991,
-0.007187784183770418,
0.029248801991343498,
-0.10399526357650757,
0.03626502305269241,
-0.04190096631646156,
-0.041955187916755676,
-0.03723442181944847,
-0.06956809014081955,
-0.007536335848271847,
-0.03667307272553444,
0.11131875216960907,
0.00872573722153902,
-0.04552963748574257,
0.06524080783128738,
-0.027324041351675987,
0.08962530642747879,
-0.06800517439842224,
0.043145399540662766,
0.015528500080108643,
-0.024048617109656334,
0.0478220209479332,
-0.01890009455382824,
-0.0618959441781044,
-0.024600021541118622,
0.03495559096336365,
0.03389845788478851,
-0.0911039486527443,
-0.07593508064746857,
-0.07397915422916412,
-0.01701902598142624
] | null | null | null | null | null | null | null | [
0.04231596738100052,
0.011897976510226727,
-0.04893839359283447,
-0.044549498707056046,
0.011103098280727863,
0.012397556565701962,
0.09378175437450409,
-0.042401183396577835,
0.019882457330822945,
0.017437279224395752,
-0.0420168973505497,
-0.013645337894558907,
0.03682911396026611,
0.08920589834451675,
-0.004920850042253733,
-0.08238323777914047,
0.08502470701932907,
-0.036687806248664856,
-0.10692814737558365,
0.031044920906424522,
-0.018084270879626274,
-0.01953689195215702,
0.08517961949110031,
0.016585564240813255,
-0.02197679504752159,
-0.01136112492531538,
0.022392423823475838,
-0.027531147003173828,
0.04321017488837242,
-0.009135331027209759,
0.003855855669826269,
-0.030741972848773003,
0.05543673783540726,
0.06926926970481873,
0.03933726251125336,
-0.019806932657957077,
-0.10032603144645691,
-0.005821622908115387,
-0.012587565928697586,
0.040987689048051834,
-0.00004599579187924974,
0.0765404999256134,
0.022318590432405472,
0.07734085619449615,
-0.09175805747509003,
0.05939662083983421,
-0.028254715725779533,
-0.01941877231001854,
-0.011106575839221478,
-0.08535723388195038,
-0.05632399395108223,
-0.007353249471634626,
-0.06198268011212349,
0.06320803612470627,
0.009212546050548553,
-0.041343290358781815,
-0.04184093326330185,
-0.050303686410188675,
0.015260906890034676,
-0.03313501924276352,
-0.014269061386585236,
-0.036052946001291275,
-0.007991638965904713,
-0.022585708647966385,
0.013180548325181007,
0.024654196575284004,
-0.011150671169161797,
0.10930637270212173,
-0.004221120849251747,
0.0770762488245964,
0.04669138416647911,
0.04565374553203583,
-0.10939896106719971,
0.049245212227106094,
0.029549073427915573,
0.05797075480222702,
0.003239136189222336,
-0.022808844223618507,
-0.04631863906979561,
0.007654134649783373,
-0.07188483327627182,
0.02608443610370159,
-0.02783600427210331,
0.051013845950365067,
-0.016677390784025192,
-0.04622580483555794,
-0.03356986865401268,
0.07180781662464142,
0.03930405527353287,
-0.0302472822368145,
0.020132768899202347,
-0.0018878340488299727,
0.05840111896395683,
0.02690912038087845,
-0.0786784440279007,
-0.03761962056159973,
-0.0019398891599848866,
0.03437633439898491,
0.02977376990020275,
0.011764722876250744,
0.03260418400168419,
-0.020291239023208618,
0.07876750081777573,
0.043674077838659286,
0.022584084421396255,
-0.04199685901403427,
-0.03401047736406326,
-0.04875416308641434,
0.017979035153985023,
-0.04029759392142296,
0.07970112562179565,
-0.06393863260746002,
-0.018347112461924553,
0.04170273244380951,
-0.07287375628948212,
0.0007484047673642635,
0.11643633991479874,
0.11614473164081573,
0.03354301303625107,
-0.028493205085396767,
0.07343803346157074,
-0.0552678108215332,
0.021722381934523582,
-0.0009350533946417272,
0.018756750971078873,
0.0691695287823677,
-0.045403484255075455,
1.2399425734805464e-33,
-0.039424829185009,
-0.033605292439460754,
0.03472277149558067,
0.11404415965080261,
0.07355718314647675,
0.01612992212176323,
-0.03420562669634819,
-0.026681333780288696,
0.10257752984762192,
-0.0012442775769159198,
-0.06952386349439621,
0.07420814782381058,
0.069160595536232,
-0.01009452249854803,
0.03018440306186676,
-0.06754885613918304,
-0.036912184208631516,
0.05149563401937485,
0.04479321464896202,
-0.0027251176070421934,
-0.07466438412666321,
-0.08956892788410187,
0.04147469997406006,
0.020219950005412102,
0.014293520711362362,
-0.015607600100338459,
-0.016188178211450577,
-0.05939976125955582,
0.01734963059425354,
0.0069985100999474525,
-0.014734618365764618,
0.034958209842443466,
0.017194371670484543,
0.1189579889178276,
0.09027128666639328,
0.026167210191488266,
-0.0745062455534935,
-0.018766513094305992,
-0.00036455405643209815,
-0.07036124914884567,
-0.010206838138401508,
-0.013239601626992226,
0.03434408828616142,
0.08144132792949677,
0.05015837401151657,
-0.02731567807495594,
-0.007447180803865194,
0.017504114657640457,
0.06414861232042313,
-0.034866057336330414,
0.021682698279619217,
0.015696562826633453,
0.01914583519101143,
-0.06054827943444252,
-0.022425346076488495,
-0.045835405588150024,
-0.053402677178382874,
-0.03388648107647896,
0.019614480435848236,
0.04642841964960098,
0.03292088583111763,
-0.0177402812987566,
0.02604217454791069,
0.05084042623639107,
0.0986311286687851,
-0.03824132680892944,
-0.04111047089099884,
-0.0597623847424984,
0.038956549018621445,
-0.05119144544005394,
-0.012818017043173313,
-0.05818311870098114,
0.020063666626811028,
0.016374099999666214,
-0.031633161008358,
0.02184409834444523,
0.05215532332658768,
-0.03894279524683952,
-0.0002308739785803482,
-0.0885385200381279,
-0.08191238343715668,
-0.023973233997821808,
-0.0013153256149962544,
-0.10461162030696869,
-0.03567608818411827,
0.025026241317391396,
0.018202055245637894,
0.05436309054493904,
0.004365657921880484,
-0.04750164970755577,
-0.016057051718235016,
-0.019681023433804512,
0.03401872143149376,
-0.011204170994460583,
-0.03734320029616356,
-5.669462518603664e-34,
-0.007245231885462999,
-0.055740151554346085,
0.01501535065472126,
0.00872686505317688,
0.06112033873796463,
-0.03817398101091385,
0.011578883044421673,
-0.08566663414239883,
0.035372234880924225,
0.020910201594233513,
-0.03307491913437843,
0.020171500742435455,
0.0648079365491867,
0.04638608172535896,
-0.07408882677555084,
0.037469103932380676,
0.03644120320677757,
-0.06698507815599442,
-0.022319763898849487,
-0.01641416735947132,
-0.02933628298342228,
-0.07041309028863907,
0.05069412663578987,
0.013366634957492352,
-0.07318948954343796,
0.03715793415904045,
-0.05798749253153801,
0.014107898809015751,
-0.029215756803750992,
0.11729082465171814,
-0.004529002588242292,
-0.0361364409327507,
-0.0054596709087491035,
-0.052404046058654785,
0.012363526970148087,
-0.05992182344198227,
-0.004613083321601152,
0.08145200461149216,
0.02222810871899128,
0.027774019166827202,
-0.010883978568017483,
-0.05498464033007622,
-0.0836482048034668,
0.04831387475132942,
0.07229110598564148,
-0.020786168053746223,
0.022771261632442474,
-0.032724570482969284,
-0.08080517500638962,
0.026490885764360428,
-0.0968967080116272,
0.0625433623790741,
0.012060071341693401,
-0.016756832599639893,
0.034719742834568024,
0.0349365659058094,
-0.06769827753305435,
0.06206797808408737,
0.08970773965120316,
-0.07304556667804718,
0.04683849588036537,
0.04202427342534065,
0.060078661888837814,
0.023556478321552277,
0.021876340731978416,
0.05664430558681488,
0.039732713252305984,
-0.0312592051923275,
-0.1034044697880745,
0.06981036812067032,
-0.01765105314552784,
-0.054950371384620667,
0.008559547364711761,
-0.015817388892173767,
-0.09605579078197479,
0.06758128851652145,
0.10771467536687851,
0.04886734113097191,
0.03217361494898796,
0.0390593558549881,
-0.08900170773267746,
0.10168898850679398,
-0.05830537527799606,
0.03528779372572899,
0.009228076785802841,
-0.04277636483311653,
0.10954660922288895,
0.03723727911710739,
-0.029788557440042496,
0.004242540802806616,
0.021721353754401207,
-0.03033529222011566,
0.07311736047267914,
0.026553967967629433,
0.048384662717580795,
-3.3220743489437154e-8,
0.030018331483006477,
-0.035860396921634674,
-0.07050453871488571,
-0.053959205746650696,
0.023345913738012314,
-0.04420933872461319,
0.02247554622590542,
0.05485772714018822,
-0.06852485984563828,
-0.0020473296754062176,
0.061315882951021194,
0.01998879387974739,
-0.01596136763691902,
0.05195104703307152,
-0.06094280257821083,
0.023096725344657898,
-0.10289517790079117,
0.06968658417463303,
-0.041121091693639755,
-0.024707291275262833,
0.010033713653683662,
0.027314551174640656,
0.1255365014076233,
0.07039494067430496,
-0.05373804271221161,
0.051191799342632294,
-0.07086192071437836,
-0.13878068327903748,
0.00229318137280643,
-0.05846148729324341,
0.02449757046997547,
-0.00132209830917418,
0.11459774523973465,
0.04450211673974991,
-0.007187784183770418,
0.029248801991343498,
-0.10399526357650757,
0.03626502305269241,
-0.04190096631646156,
-0.041955187916755676,
-0.03723442181944847,
-0.06956809014081955,
-0.007536335848271847,
-0.03667307272553444,
0.11131875216960907,
0.00872573722153902,
-0.04552963748574257,
0.06524080783128738,
-0.027324041351675987,
0.08962530642747879,
-0.06800517439842224,
0.043145399540662766,
0.015528500080108643,
-0.024048617109656334,
0.0478220209479332,
-0.01890009455382824,
-0.0618959441781044,
-0.024600021541118622,
0.03495559096336365,
0.03389845788478851,
-0.0911039486527443,
-0.07593508064746857,
-0.07397915422916412,
-0.01701902598142624
] |
1401.0480 | Denzil Correa | Denzil Correa and Ashish Sureka | Chaff from the Wheat : Characterization and Modeling of Deleted
Questions on Stack Overflow | 11 pages, Pre-print | null | null | null | cs.IR cs.SI | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Stack Overflow is the most popular CQA for programmers on the web with 2.05M
users, 5.1M questions and 9.4M answers. Stack Overflow has explicit, detailed
guidelines on how to post questions and an ebullient moderation community.
Despite these precise communications and safeguards, questions posted on Stack
Overflow can be extremely off topic or very poor in quality. Such questions can
be deleted from Stack Overflow at the discretion of experienced community
members and moderators. We present the first study of deleted questions on
Stack Overflow. We divide our study into two parts (i) Characterization of
deleted questions over approx. 5 years (2008-2013) of data, (ii) Prediction of
deletion at the time of question creation. Our characterization study reveals
multiple insights on question deletion phenomena. We observe a significant
increase in the number of deleted questions over time. We find that it takes
substantial time to vote a question to be deleted but once voted, the community
takes swift action. We also see that question authors delete their questions to
salvage reputation points. We notice some instances of accidental deletion of
good quality questions but such questions are voted back to be undeleted
quickly. We discover a pyramidal structure of question quality on Stack
Overflow and find that deleted questions lie at the bottom (lowest quality) of
the pyramid. We also build a predictive model to detect the deletion of
question at the creation time. We experiment with 47 features based on User
Profile, Community Generated, Question Content and Syntactic style and report
an accuracy of 66%. Our feature analysis reveals that all four categories of
features are important for the prediction task. Our findings reveal important
suggestions for content quality maintenance on community based question
answering websites.
| [
{
"created": "Thu, 2 Jan 2014 17:36:32 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Correa",
"Denzil",
""
],
[
"Sureka",
"Ashish",
""
]
] | [
-0.09462355822324753,
-0.09991829842329025,
-0.05443548411130905,
0.050546396523714066,
0.016166329383850098,
-0.038962822407484055,
0.07377664744853973,
-0.040716737508773804,
0.03906860202550888,
-0.005814411211758852,
0.025061042979359627,
-0.01420227624475956,
0.0945613756775856,
0.019299915060400963,
-0.010501183569431305,
0.03138602897524834,
-0.035641323775053024,
-0.041933272033929825,
-0.10078468173742294,
-0.0012643082300201058,
-0.008834077045321465,
0.011516887694597244,
0.03303699940443039,
0.08654952794313431,
0.05852802097797394,
-0.08344518393278122,
0.04534600302577019,
-0.008211977779865265,
-0.05625404790043831,
-0.03484877943992615,
0.01803840883076191,
-0.014693640172481537,
0.0443565659224987,
0.03223426267504692,
-0.007852353155612946,
0.02187992073595524,
0.051408667117357254,
-0.06205368414521217,
-0.041692107915878296,
-0.047865331172943115,
-0.023730754852294922,
0.014086485840380192,
-0.050779737532138824,
0.03257907181978226,
-0.02242772839963436,
0.03919261321425438,
0.023249521851539612,
-0.038735516369342804,
-0.0833277627825737,
-0.013183574192225933,
-0.04200002923607826,
-0.02378992922604084,
0.020822642371058464,
0.007585924118757248,
-0.03242158889770508,
-0.058981236070394516,
-0.03865888714790344,
-0.01767290197312832,
-0.028906647115945816,
-0.016477663069963455,
-0.030621226876974106,
-0.010631623677909374,
0.002845992334187031,
0.009717301465570927,
0.04694322869181633,
-0.012930850498378277,
0.03082781471312046,
-0.007858875207602978,
0.030967606231570244,
0.008504791185259819,
-0.05227845907211304,
0.02479473687708378,
-0.047639232128858566,
0.09449981153011322,
-0.03375573456287384,
0.024828799068927765,
-0.017938679084181786,
0.011686543002724648,
-0.05602220073342323,
0.00006686905544484034,
0.061735253781080246,
-0.015182326547801495,
0.01900058425962925,
0.05445735156536102,
-0.04711521789431572,
-0.042887959629297256,
0.05867166072130203,
0.035950303077697754,
-0.020231299102306366,
-0.0142854368314147,
-0.043016429990530014,
0.10227121412754059,
0.06894368678331375,
0.004991229623556137,
0.06335373222827911,
0.0171426422894001,
0.029480062425136566,
-0.08335123211145401,
0.03070194087922573,
0.1236562728881836,
0.02128509432077408,
0.06932857632637024,
-0.02980581484735012,
-0.01690022088587284,
0.031143663451075554,
0.08255761116743088,
-0.03607795014977455,
0.03373752161860466,
-0.020724426954984665,
0.03880498558282852,
-0.073445163667202,
-0.009218113496899605,
-0.01338179036974907,
0.005277310032397509,
0.10775553435087204,
-0.015872502699494362,
0.04538659378886223,
0.07598014920949936,
-0.006679235957562923,
0.03624667227268219,
0.012432806193828583,
0.026419108733534813,
0.06304042786359787,
-0.0660293847322464,
0.01857980154454708,
0.023652737960219383,
-0.11642956733703613,
4.6775888342454646e-33,
0.0376492403447628,
-0.015258976258337498,
-0.03345033526420593,
0.047467708587646484,
0.061464324593544006,
0.02897479571402073,
-0.030760979279875755,
0.07641824334859848,
0.041734617203474045,
-0.07309263944625854,
0.010235505178570747,
-0.02811461314558983,
-0.007675712462514639,
0.048805952072143555,
0.07929901033639908,
-0.017649007961153984,
-0.013522391207516193,
0.004727978724986315,
-0.06707560271024704,
-0.06444762647151947,
0.09639841318130493,
-0.016542792320251465,
0.042694929987192154,
0.04449009522795677,
0.0060631344094872475,
-0.07401520758867264,
-0.004849930293858051,
0.0063748531974852085,
-0.02802208997309208,
-0.015994742512702942,
-0.04311100393533707,
-0.0068898918107151985,
-0.020238377153873444,
0.001977685373276472,
0.022284062579274178,
0.048197414726018906,
-0.0021435965318232775,
-0.046814631670713425,
0.032196126878261566,
0.02699383907020092,
-0.041201457381248474,
0.08107039332389832,
-0.023488370701670647,
0.048028022050857544,
-0.05181416496634483,
-0.0550333708524704,
0.010794583708047867,
0.026469197124242783,
0.013345207087695599,
-0.05208510532975197,
0.04202970117330551,
0.011793350800871849,
0.11628575623035431,
0.024417610839009285,
-0.10407459735870361,
0.050860874354839325,
-0.06901216506958008,
-0.03671377897262573,
0.00933124404400587,
-0.024136362597346306,
0.01160645391792059,
0.07025142014026642,
-0.04794620722532272,
-0.058226365596055984,
-0.057185377925634384,
0.024164117872714996,
-0.008154232054948807,
0.05799942836165428,
0.009213627316057682,
-0.025673335418105125,
0.055326417088508606,
0.03749382868409157,
-0.047164637595415115,
-0.11170049756765366,
-0.014110124669969082,
0.038527894765138626,
-0.015148806385695934,
-0.05064459517598152,
0.045674145221710205,
0.004239678382873535,
0.05375731363892555,
-0.052644453942775726,
0.07072567939758301,
-0.1297062635421753,
-0.008031792007386684,
-0.09539097547531128,
0.12467847019433975,
-0.027784720063209534,
-0.011321496218442917,
-0.03003786876797676,
-0.05788292735815048,
-0.030563626438379288,
0.05275833234190941,
-0.05443880334496498,
0.019033147022128105,
-5.7417080340632174e-33,
-0.1053430363535881,
-0.06655330955982208,
-0.04303276911377907,
0.09974823892116547,
-0.0357387438416481,
-0.06534961611032486,
-0.13384093344211578,
0.03094097040593624,
-0.04822099208831787,
-0.08649040013551712,
-0.09347934275865555,
0.0027443633880466223,
0.08862381428480148,
0.04570441320538521,
-0.005702540278434753,
-0.04599467292428017,
0.0393739677965641,
-0.05562164634466171,
-0.1000002771615982,
-0.03094218112528324,
0.0569591224193573,
0.09907583892345428,
-0.09787704050540924,
-0.03419816121459007,
-0.0670432299375534,
-0.006617066916078329,
-0.004935547709465027,
0.037543121725320816,
-0.011923311278223991,
0.05757618695497513,
-0.054293226450681686,
-0.028430145233869553,
0.03557728976011276,
-0.030705498531460762,
0.03817886859178543,
-0.00624511856585741,
0.002503444207832217,
0.0004458878538571298,
-0.02885284274816513,
0.015341736376285553,
-0.01749124936759472,
0.04182431474328041,
-0.08943459391593933,
-0.05907407030463219,
-0.01730782352387905,
0.065480537712574,
-0.028932712972164154,
0.03358602896332741,
0.07713661342859268,
0.017140092328190804,
0.01729598641395569,
-0.04714521765708923,
0.009945794008672237,
-0.0014840139774605632,
-0.000628942740149796,
0.01862214505672455,
-0.05888556316494942,
0.04177061840891838,
0.08549302071332932,
0.017056619748473167,
-0.09999650716781616,
0.016637125983834267,
-0.025767534971237183,
0.06925652176141739,
0.08070842176675797,
-0.061202216893434525,
-0.005186897702515125,
-0.034989796578884125,
-0.015087229199707508,
-0.04525631666183472,
-0.010974418371915817,
0.012748421169817448,
-0.021020963788032532,
-0.027505816891789436,
0.008256815373897552,
0.035554174333810806,
0.004571159835904837,
0.04075812175869942,
-0.07892195880413055,
0.0010412476258352399,
0.07483801990747452,
-0.030735325068235397,
0.046231284737586975,
-0.007573818322271109,
-0.02244570665061474,
-0.03626362979412079,
0.021062981337308884,
0.057229746133089066,
0.055043257772922516,
0.030589330941438675,
0.03099658153951168,
-0.06051041930913925,
-0.0725502222776413,
-0.02685566432774067,
-0.02609015256166458,
-4.6447450330333595e-8,
0.02337762899696827,
0.09728509187698364,
-0.07073266804218292,
0.10354121029376984,
0.10078269988298416,
0.0016711561474949121,
0.0018116810824722052,
0.07718393951654434,
0.017603497952222824,
-0.03296268731355667,
0.09110367298126221,
-0.0018161643529310822,
-0.06586834788322449,
-0.0004991932073608041,
0.07365494221448898,
0.032320551574230194,
-0.01396094635128975,
0.039954785257577896,
-0.03410244360566139,
-0.0418941006064415,
-0.0018498413264751434,
-0.01600545644760132,
0.03757316246628761,
0.098736971616745,
0.025307990610599518,
0.0223028976470232,
-0.0626709908246994,
0.10207677632570267,
-0.02880886010825634,
0.0679888129234314,
0.025151213631033897,
-0.03427077829837799,
0.002455884125083685,
0.0037683136761188507,
0.02771492302417755,
0.09437783062458038,
-0.056683558970689774,
-0.011254444718360901,
-0.015772271901369095,
0.0155903659760952,
-0.042922668159008026,
0.06891652196645737,
0.03757648915052414,
0.03174498304724693,
0.03175511211156845,
-0.09517941623926163,
-0.10034937411546707,
0.07525361329317093,
-0.010729413479566574,
-0.1369614154100418,
-0.044275857508182526,
-0.04391693323850632,
-0.01638003997504711,
0.0861753523349762,
0.0816875770688057,
-0.028582612052559853,
-0.04697611927986145,
0.07679121196269989,
-0.020200634375214577,
-0.019133131951093674,
0.15571995079517365,
-0.045849695801734924,
0.00653331633657217,
-0.07929375767707825
] | null | null | null | null | null | null | null | [
-0.09462355822324753,
-0.09991829842329025,
-0.05443548411130905,
0.050546396523714066,
0.016166329383850098,
-0.038962822407484055,
0.07377664744853973,
-0.040716737508773804,
0.03906860202550888,
-0.005814411211758852,
0.025061042979359627,
-0.01420227624475956,
0.0945613756775856,
0.019299915060400963,
-0.010501183569431305,
0.03138602897524834,
-0.035641323775053024,
-0.041933272033929825,
-0.10078468173742294,
-0.0012643082300201058,
-0.008834077045321465,
0.011516887694597244,
0.03303699940443039,
0.08654952794313431,
0.05852802097797394,
-0.08344518393278122,
0.04534600302577019,
-0.008211977779865265,
-0.05625404790043831,
-0.03484877943992615,
0.01803840883076191,
-0.014693640172481537,
0.0443565659224987,
0.03223426267504692,
-0.007852353155612946,
0.02187992073595524,
0.051408667117357254,
-0.06205368414521217,
-0.041692107915878296,
-0.047865331172943115,
-0.023730754852294922,
0.014086485840380192,
-0.050779737532138824,
0.03257907181978226,
-0.02242772839963436,
0.03919261321425438,
0.023249521851539612,
-0.038735516369342804,
-0.0833277627825737,
-0.013183574192225933,
-0.04200002923607826,
-0.02378992922604084,
0.020822642371058464,
0.007585924118757248,
-0.03242158889770508,
-0.058981236070394516,
-0.03865888714790344,
-0.01767290197312832,
-0.028906647115945816,
-0.016477663069963455,
-0.030621226876974106,
-0.010631623677909374,
0.002845992334187031,
0.009717301465570927,
0.04694322869181633,
-0.012930850498378277,
0.03082781471312046,
-0.007858875207602978,
0.030967606231570244,
0.008504791185259819,
-0.05227845907211304,
0.02479473687708378,
-0.047639232128858566,
0.09449981153011322,
-0.03375573456287384,
0.024828799068927765,
-0.017938679084181786,
0.011686543002724648,
-0.05602220073342323,
0.00006686905544484034,
0.061735253781080246,
-0.015182326547801495,
0.01900058425962925,
0.05445735156536102,
-0.04711521789431572,
-0.042887959629297256,
0.05867166072130203,
0.035950303077697754,
-0.020231299102306366,
-0.0142854368314147,
-0.043016429990530014,
0.10227121412754059,
0.06894368678331375,
0.004991229623556137,
0.06335373222827911,
0.0171426422894001,
0.029480062425136566,
-0.08335123211145401,
0.03070194087922573,
0.1236562728881836,
0.02128509432077408,
0.06932857632637024,
-0.02980581484735012,
-0.01690022088587284,
0.031143663451075554,
0.08255761116743088,
-0.03607795014977455,
0.03373752161860466,
-0.020724426954984665,
0.03880498558282852,
-0.073445163667202,
-0.009218113496899605,
-0.01338179036974907,
0.005277310032397509,
0.10775553435087204,
-0.015872502699494362,
0.04538659378886223,
0.07598014920949936,
-0.006679235957562923,
0.03624667227268219,
0.012432806193828583,
0.026419108733534813,
0.06304042786359787,
-0.0660293847322464,
0.01857980154454708,
0.023652737960219383,
-0.11642956733703613,
4.6775888342454646e-33,
0.0376492403447628,
-0.015258976258337498,
-0.03345033526420593,
0.047467708587646484,
0.061464324593544006,
0.02897479571402073,
-0.030760979279875755,
0.07641824334859848,
0.041734617203474045,
-0.07309263944625854,
0.010235505178570747,
-0.02811461314558983,
-0.007675712462514639,
0.048805952072143555,
0.07929901033639908,
-0.017649007961153984,
-0.013522391207516193,
0.004727978724986315,
-0.06707560271024704,
-0.06444762647151947,
0.09639841318130493,
-0.016542792320251465,
0.042694929987192154,
0.04449009522795677,
0.0060631344094872475,
-0.07401520758867264,
-0.004849930293858051,
0.0063748531974852085,
-0.02802208997309208,
-0.015994742512702942,
-0.04311100393533707,
-0.0068898918107151985,
-0.020238377153873444,
0.001977685373276472,
0.022284062579274178,
0.048197414726018906,
-0.0021435965318232775,
-0.046814631670713425,
0.032196126878261566,
0.02699383907020092,
-0.041201457381248474,
0.08107039332389832,
-0.023488370701670647,
0.048028022050857544,
-0.05181416496634483,
-0.0550333708524704,
0.010794583708047867,
0.026469197124242783,
0.013345207087695599,
-0.05208510532975197,
0.04202970117330551,
0.011793350800871849,
0.11628575623035431,
0.024417610839009285,
-0.10407459735870361,
0.050860874354839325,
-0.06901216506958008,
-0.03671377897262573,
0.00933124404400587,
-0.024136362597346306,
0.01160645391792059,
0.07025142014026642,
-0.04794620722532272,
-0.058226365596055984,
-0.057185377925634384,
0.024164117872714996,
-0.008154232054948807,
0.05799942836165428,
0.009213627316057682,
-0.025673335418105125,
0.055326417088508606,
0.03749382868409157,
-0.047164637595415115,
-0.11170049756765366,
-0.014110124669969082,
0.038527894765138626,
-0.015148806385695934,
-0.05064459517598152,
0.045674145221710205,
0.004239678382873535,
0.05375731363892555,
-0.052644453942775726,
0.07072567939758301,
-0.1297062635421753,
-0.008031792007386684,
-0.09539097547531128,
0.12467847019433975,
-0.027784720063209534,
-0.011321496218442917,
-0.03003786876797676,
-0.05788292735815048,
-0.030563626438379288,
0.05275833234190941,
-0.05443880334496498,
0.019033147022128105,
-5.7417080340632174e-33,
-0.1053430363535881,
-0.06655330955982208,
-0.04303276911377907,
0.09974823892116547,
-0.0357387438416481,
-0.06534961611032486,
-0.13384093344211578,
0.03094097040593624,
-0.04822099208831787,
-0.08649040013551712,
-0.09347934275865555,
0.0027443633880466223,
0.08862381428480148,
0.04570441320538521,
-0.005702540278434753,
-0.04599467292428017,
0.0393739677965641,
-0.05562164634466171,
-0.1000002771615982,
-0.03094218112528324,
0.0569591224193573,
0.09907583892345428,
-0.09787704050540924,
-0.03419816121459007,
-0.0670432299375534,
-0.006617066916078329,
-0.004935547709465027,
0.037543121725320816,
-0.011923311278223991,
0.05757618695497513,
-0.054293226450681686,
-0.028430145233869553,
0.03557728976011276,
-0.030705498531460762,
0.03817886859178543,
-0.00624511856585741,
0.002503444207832217,
0.0004458878538571298,
-0.02885284274816513,
0.015341736376285553,
-0.01749124936759472,
0.04182431474328041,
-0.08943459391593933,
-0.05907407030463219,
-0.01730782352387905,
0.065480537712574,
-0.028932712972164154,
0.03358602896332741,
0.07713661342859268,
0.017140092328190804,
0.01729598641395569,
-0.04714521765708923,
0.009945794008672237,
-0.0014840139774605632,
-0.000628942740149796,
0.01862214505672455,
-0.05888556316494942,
0.04177061840891838,
0.08549302071332932,
0.017056619748473167,
-0.09999650716781616,
0.016637125983834267,
-0.025767534971237183,
0.06925652176141739,
0.08070842176675797,
-0.061202216893434525,
-0.005186897702515125,
-0.034989796578884125,
-0.015087229199707508,
-0.04525631666183472,
-0.010974418371915817,
0.012748421169817448,
-0.021020963788032532,
-0.027505816891789436,
0.008256815373897552,
0.035554174333810806,
0.004571159835904837,
0.04075812175869942,
-0.07892195880413055,
0.0010412476258352399,
0.07483801990747452,
-0.030735325068235397,
0.046231284737586975,
-0.007573818322271109,
-0.02244570665061474,
-0.03626362979412079,
0.021062981337308884,
0.057229746133089066,
0.055043257772922516,
0.030589330941438675,
0.03099658153951168,
-0.06051041930913925,
-0.0725502222776413,
-0.02685566432774067,
-0.02609015256166458,
-4.6447450330333595e-8,
0.02337762899696827,
0.09728509187698364,
-0.07073266804218292,
0.10354121029376984,
0.10078269988298416,
0.0016711561474949121,
0.0018116810824722052,
0.07718393951654434,
0.017603497952222824,
-0.03296268731355667,
0.09110367298126221,
-0.0018161643529310822,
-0.06586834788322449,
-0.0004991932073608041,
0.07365494221448898,
0.032320551574230194,
-0.01396094635128975,
0.039954785257577896,
-0.03410244360566139,
-0.0418941006064415,
-0.0018498413264751434,
-0.01600545644760132,
0.03757316246628761,
0.098736971616745,
0.025307990610599518,
0.0223028976470232,
-0.0626709908246994,
0.10207677632570267,
-0.02880886010825634,
0.0679888129234314,
0.025151213631033897,
-0.03427077829837799,
0.002455884125083685,
0.0037683136761188507,
0.02771492302417755,
0.09437783062458038,
-0.056683558970689774,
-0.011254444718360901,
-0.015772271901369095,
0.0155903659760952,
-0.042922668159008026,
0.06891652196645737,
0.03757648915052414,
0.03174498304724693,
0.03175511211156845,
-0.09517941623926163,
-0.10034937411546707,
0.07525361329317093,
-0.010729413479566574,
-0.1369614154100418,
-0.044275857508182526,
-0.04391693323850632,
-0.01638003997504711,
0.0861753523349762,
0.0816875770688057,
-0.028582612052559853,
-0.04697611927986145,
0.07679121196269989,
-0.020200634375214577,
-0.019133131951093674,
0.15571995079517365,
-0.045849695801734924,
0.00653331633657217,
-0.07929375767707825
] |
1401.0486 | Najiba Tagougui | Najiba Tagougui, Houcine Boubaker, Monji Kherallah, Adel M. ALIMI | A Hybrid NN/HMM Modeling Technique for Online Arabic Handwriting
Recognition | null | International Journal of Computational Linguistics Research Volume
4 Number 3 September 2013 pp. 107-118 | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we propose a hybrid NN/HMM model for online Arabic handwriting
recognition. The proposed system is based on Hidden Markov Models (HMMs) and
Multi Layer Perceptron Neural Networks (MLPNNs). The input signal is segmented
to continuous strokes called segments based on the Beta-Elliptical strategy by
inspecting the extremum points of the curvilinear velocity profile. A neural
network trained with segment level contextual information is used to extract
class character probabilities. The output of this network is decoded by HMMs to
provide character level recognition. In evaluations on the ADAB database, we
achieved 96.4% character recognition accuracy that is statistically
significantly important in comparison with character recognition accuracies
obtained from state-of-the-art online Arabic systems.8
| [
{
"created": "Thu, 2 Jan 2014 17:58:27 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Tagougui",
"Najiba",
""
],
[
"Boubaker",
"Houcine",
""
],
[
"Kherallah",
"Monji",
""
],
[
"ALIMI",
"Adel M.",
""
]
] | [
-0.10525859892368317,
-0.0460771881043911,
0.007911535911262035,
-0.03504248335957527,
-0.09854702651500702,
0.13021719455718994,
-0.01614965870976448,
-0.0907050371170044,
0.06459522992372513,
-0.05981850251555443,
0.014453507028520107,
0.015479659661650658,
0.04596414417028427,
0.0025782862212508917,
-0.031703028827905655,
-0.03982885181903839,
-0.007848669774830341,
-0.01005452312529087,
-0.025626974180340767,
-0.024585429579019547,
-0.014476600103080273,
0.08701295405626297,
0.0633922815322876,
0.0050774854607880116,
0.05400096997618675,
0.08106490969657898,
0.01083220262080431,
-0.015043115243315697,
-0.03486034646630287,
-0.00530999107286334,
0.04957297071814537,
-0.010989239439368248,
0.10795494168996811,
-0.014529984444379807,
0.045948565006256104,
0.020395344123244286,
-0.003975468687713146,
0.040535151958465576,
0.00906408205628395,
0.04495958238840103,
0.004386605694890022,
-0.05539952218532562,
0.0325784906744957,
0.050008729100227356,
0.13413262367248535,
0.020582402125000954,
-0.03900982439517975,
0.07428435981273651,
0.04736132174730301,
0.07398486882448196,
-0.06300271302461624,
0.013374939560890198,
0.022560961544513702,
-0.002707725390791893,
-0.048090651631355286,
-0.0431704968214035,
0.06149129942059517,
0.045409590005874634,
-0.07616498321294785,
-0.01478330884128809,
-0.014854693785309792,
0.023101327940821648,
-0.0005755402962677181,
0.025030305609107018,
-0.06004977971315384,
0.023656954988837242,
-0.029694555327296257,
-0.041725076735019684,
-0.00618175370618701,
-0.033849503844976425,
-0.037362851202487946,
0.06638903170824051,
-0.029821909964084625,
-0.0030235080048441887,
-0.045072369277477264,
-0.02697743847966194,
0.02787657640874386,
-0.08603503555059433,
0.0068676769733428955,
-0.02477112226188183,
-0.015492214821279049,
-0.006872096564620733,
0.07788501679897308,
-0.032936032861471176,
0.059551868587732315,
-0.04087544232606888,
-0.050606563687324524,
0.019561246037483215,
-0.024783091619610786,
-0.011386360973119736,
0.004654025658965111,
-0.0635063499212265,
0.0353621169924736,
-0.023537052795290947,
-0.010741815902292728,
0.03502190113067627,
0.018469933420419693,
0.04229521006345749,
-0.02633536234498024,
0.03770006448030472,
-0.04896298423409462,
-0.0597384013235569,
0.03385363146662712,
0.014279455877840519,
0.041761621832847595,
0.09404665976762772,
0.037135347723960876,
-0.06613390892744064,
0.0832255557179451,
-0.11561017483472824,
0.0534977950155735,
-0.03762751445174217,
-0.04971905052661896,
-0.026381129398941994,
0.016147034242749214,
-0.04048837721347809,
-0.00811214093118906,
-0.08011136949062347,
-0.010366382077336311,
0.0491347461938858,
-0.12892018258571625,
-0.03167654946446419,
0.0037104543298482895,
0.03200032562017441,
-0.010723174549639225,
0.02311180718243122,
-0.015643028542399406,
2.1400374241818844e-33,
0.018017040565609932,
-0.0030634780414402485,
0.004727096762508154,
-0.10174567252397537,
-0.04995117709040642,
-0.00664192158728838,
-0.05323847755789757,
-0.002693778369575739,
-0.0024077582638710737,
-0.058206185698509216,
-0.001229967107065022,
-0.04366081953048706,
-0.002637381199747324,
0.0943336933851242,
0.07046671956777573,
0.03833218291401863,
0.015258179977536201,
-0.04893916845321655,
0.021399861201643944,
-0.055633608251810074,
0.03533732518553734,
-0.01243927888572216,
0.03895826265215874,
-0.03242570534348488,
-0.05082973465323448,
0.07127910852432251,
0.0746314525604248,
-0.08651367574930191,
-0.02819000743329525,
0.029842862859368324,
-0.004683066625148058,
-0.0795522928237915,
-0.07436245679855347,
-0.10526580363512039,
-0.0711592435836792,
-0.012364469468593597,
-0.09006811678409576,
0.0051815686747431755,
0.0018980205059051514,
-0.024524781852960587,
-0.056836698204278946,
-0.013411106541752815,
0.030577465891838074,
0.013103608042001724,
-0.09437426924705505,
0.05255695804953575,
0.05848094820976257,
0.029070090502500534,
-0.011536745354533195,
0.008030525408685207,
0.0057083661668002605,
0.020565170794725418,
-0.034601129591464996,
0.01648516207933426,
0.015976591035723686,
-0.03307855874300003,
0.0389094278216362,
0.08581111580133438,
-0.052634503692388535,
0.013013914227485657,
0.05839326232671738,
-0.0077170394361019135,
0.026012884452939034,
0.01700373739004135,
-0.010810548439621925,
-0.0516013465821743,
0.0020621384028345346,
0.01898057758808136,
0.08399505913257599,
-0.02393624559044838,
0.023070551455020905,
0.021302955225110054,
0.10041826218366623,
0.01707126386463642,
-0.09902581572532654,
0.05452912300825119,
0.00030489335767924786,
-0.01922268234193325,
-0.004717796575278044,
0.050644807517528534,
-0.012978321872651577,
0.0766245648264885,
0.03988189250230789,
-0.07293843477964401,
-0.026727406308054924,
0.007910365238785744,
0.13837599754333496,
-0.057013992220163345,
-0.019923720508813858,
0.009763728827238083,
-0.010559773072600365,
-0.007913933135569096,
0.005745813250541687,
0.02385582961142063,
0.08345392346382141,
-3.1396131679318624e-33,
0.021804748103022575,
0.04414784163236618,
-0.020800838246941566,
0.00295081059448421,
-0.07713670283555984,
-0.06675297766923904,
0.035012632608413696,
0.11473193019628525,
-0.06479358673095703,
-0.0032801793422549963,
0.03102344460785389,
0.019038796424865723,
0.06590890139341354,
-0.08602236211299896,
0.016379600390791893,
-0.06901583075523376,
-0.03638800233602524,
0.0903085246682167,
0.09733621031045914,
-0.010527335107326508,
0.03916504979133606,
-0.036663588136434555,
-0.06996195018291473,
0.047302331775426865,
0.014302073046565056,
-0.0627182275056839,
-0.03658349812030792,
-0.0297586340457201,
-0.06527021527290344,
0.047087568789720535,
-0.05918122082948685,
-0.013356108218431473,
-0.0690869465470314,
0.0822831243276596,
-0.09983528405427933,
-0.00612995121628046,
-0.05058286711573601,
-0.02257266640663147,
-0.003707638243213296,
0.02743043750524521,
0.08742331713438034,
0.047777529805898666,
-0.015239441767334938,
-0.07823427766561508,
-0.01889113336801529,
0.0006850704667158425,
-0.0789739340543747,
0.09920745342969894,
0.025257781147956848,
-0.02705136500298977,
-0.03214900568127632,
0.022682711482048035,
-0.037105441093444824,
0.041021425276994705,
-0.04373545944690704,
0.05076952651143074,
-0.05921927094459534,
-0.03143290430307388,
0.026447786018252373,
0.020400745794177055,
-0.05891812965273857,
-0.022790128365159035,
0.05212065577507019,
-0.024218162521719933,
0.026102859526872635,
-0.016604101285338402,
0.03770584613084793,
0.06926622986793518,
0.025052059441804886,
-0.02016071043908596,
-0.003891489701345563,
0.006879045162349939,
0.06634564697742462,
0.09933372586965561,
-0.014535270631313324,
0.041011009365320206,
-0.06763967871665955,
-0.0631984993815422,
-0.08672656863927841,
-0.04900944232940674,
-0.053284116089344025,
-0.08522795885801315,
-0.04938114807009697,
0.03155451640486717,
0.12372874468564987,
0.09199237078428268,
0.011290044523775578,
-0.0941416323184967,
0.051558975130319595,
0.027578815817832947,
0.011292863637208939,
0.10595393925905228,
0.02842998318374157,
0.0356551930308342,
-0.06088889017701149,
-3.694372097129417e-8,
-0.0336914025247097,
-0.009138554334640503,
0.06462371349334717,
-0.03916548565030098,
0.05471722409129143,
0.04228859022259712,
-0.003905045799911022,
-0.00926148146390915,
0.019305042922496796,
0.00784191396087408,
0.10506696999073029,
-0.10678283870220184,
-0.05996086820960045,
-0.010169935412704945,
-0.055602170526981354,
0.03375232219696045,
0.11192169785499573,
0.019297229126095772,
0.03686061128973961,
-0.04483182728290558,
0.10047648102045059,
0.003034834284335375,
0.015022083185613155,
0.06446453928947449,
-0.09990321099758148,
0.01118403673171997,
-0.021157344803214073,
0.0848240777850151,
0.00463751470670104,
-0.02463511750102043,
-0.0027661886997520924,
0.020406438037753105,
0.028608199208974838,
-0.05759027600288391,
0.085788294672966,
0.01942196860909462,
0.05695458874106407,
0.01680869236588478,
-0.05310904607176781,
0.05634802579879761,
0.06405835598707199,
-0.0712912306189537,
-0.003913475666195154,
-0.03259618952870369,
0.04080500826239586,
-0.050680916756391525,
0.04460889846086502,
-0.09983213245868683,
0.018111413344740868,
0.03561491146683693,
0.11537493765354156,
-0.08459652215242386,
0.032649122178554535,
0.06031522899866104,
0.040785741060972214,
-0.04997686669230461,
0.023468703031539917,
-0.03013346903026104,
0.027114521712064743,
0.05445023626089096,
0.016469424590468407,
-0.017359860241413116,
-0.030447879806160927,
-0.03890494257211685
] | null | null | null | null | null | null | null | [
-0.10525859892368317,
-0.0460771881043911,
0.007911535911262035,
-0.03504248335957527,
-0.09854702651500702,
0.13021719455718994,
-0.01614965870976448,
-0.0907050371170044,
0.06459522992372513,
-0.05981850251555443,
0.014453507028520107,
0.015479659661650658,
0.04596414417028427,
0.0025782862212508917,
-0.031703028827905655,
-0.03982885181903839,
-0.007848669774830341,
-0.01005452312529087,
-0.025626974180340767,
-0.024585429579019547,
-0.014476600103080273,
0.08701295405626297,
0.0633922815322876,
0.0050774854607880116,
0.05400096997618675,
0.08106490969657898,
0.01083220262080431,
-0.015043115243315697,
-0.03486034646630287,
-0.00530999107286334,
0.04957297071814537,
-0.010989239439368248,
0.10795494168996811,
-0.014529984444379807,
0.045948565006256104,
0.020395344123244286,
-0.003975468687713146,
0.040535151958465576,
0.00906408205628395,
0.04495958238840103,
0.004386605694890022,
-0.05539952218532562,
0.0325784906744957,
0.050008729100227356,
0.13413262367248535,
0.020582402125000954,
-0.03900982439517975,
0.07428435981273651,
0.04736132174730301,
0.07398486882448196,
-0.06300271302461624,
0.013374939560890198,
0.022560961544513702,
-0.002707725390791893,
-0.048090651631355286,
-0.0431704968214035,
0.06149129942059517,
0.045409590005874634,
-0.07616498321294785,
-0.01478330884128809,
-0.014854693785309792,
0.023101327940821648,
-0.0005755402962677181,
0.025030305609107018,
-0.06004977971315384,
0.023656954988837242,
-0.029694555327296257,
-0.041725076735019684,
-0.00618175370618701,
-0.033849503844976425,
-0.037362851202487946,
0.06638903170824051,
-0.029821909964084625,
-0.0030235080048441887,
-0.045072369277477264,
-0.02697743847966194,
0.02787657640874386,
-0.08603503555059433,
0.0068676769733428955,
-0.02477112226188183,
-0.015492214821279049,
-0.006872096564620733,
0.07788501679897308,
-0.032936032861471176,
0.059551868587732315,
-0.04087544232606888,
-0.050606563687324524,
0.019561246037483215,
-0.024783091619610786,
-0.011386360973119736,
0.004654025658965111,
-0.0635063499212265,
0.0353621169924736,
-0.023537052795290947,
-0.010741815902292728,
0.03502190113067627,
0.018469933420419693,
0.04229521006345749,
-0.02633536234498024,
0.03770006448030472,
-0.04896298423409462,
-0.0597384013235569,
0.03385363146662712,
0.014279455877840519,
0.041761621832847595,
0.09404665976762772,
0.037135347723960876,
-0.06613390892744064,
0.0832255557179451,
-0.11561017483472824,
0.0534977950155735,
-0.03762751445174217,
-0.04971905052661896,
-0.026381129398941994,
0.016147034242749214,
-0.04048837721347809,
-0.00811214093118906,
-0.08011136949062347,
-0.010366382077336311,
0.0491347461938858,
-0.12892018258571625,
-0.03167654946446419,
0.0037104543298482895,
0.03200032562017441,
-0.010723174549639225,
0.02311180718243122,
-0.015643028542399406,
2.1400374241818844e-33,
0.018017040565609932,
-0.0030634780414402485,
0.004727096762508154,
-0.10174567252397537,
-0.04995117709040642,
-0.00664192158728838,
-0.05323847755789757,
-0.002693778369575739,
-0.0024077582638710737,
-0.058206185698509216,
-0.001229967107065022,
-0.04366081953048706,
-0.002637381199747324,
0.0943336933851242,
0.07046671956777573,
0.03833218291401863,
0.015258179977536201,
-0.04893916845321655,
0.021399861201643944,
-0.055633608251810074,
0.03533732518553734,
-0.01243927888572216,
0.03895826265215874,
-0.03242570534348488,
-0.05082973465323448,
0.07127910852432251,
0.0746314525604248,
-0.08651367574930191,
-0.02819000743329525,
0.029842862859368324,
-0.004683066625148058,
-0.0795522928237915,
-0.07436245679855347,
-0.10526580363512039,
-0.0711592435836792,
-0.012364469468593597,
-0.09006811678409576,
0.0051815686747431755,
0.0018980205059051514,
-0.024524781852960587,
-0.056836698204278946,
-0.013411106541752815,
0.030577465891838074,
0.013103608042001724,
-0.09437426924705505,
0.05255695804953575,
0.05848094820976257,
0.029070090502500534,
-0.011536745354533195,
0.008030525408685207,
0.0057083661668002605,
0.020565170794725418,
-0.034601129591464996,
0.01648516207933426,
0.015976591035723686,
-0.03307855874300003,
0.0389094278216362,
0.08581111580133438,
-0.052634503692388535,
0.013013914227485657,
0.05839326232671738,
-0.0077170394361019135,
0.026012884452939034,
0.01700373739004135,
-0.010810548439621925,
-0.0516013465821743,
0.0020621384028345346,
0.01898057758808136,
0.08399505913257599,
-0.02393624559044838,
0.023070551455020905,
0.021302955225110054,
0.10041826218366623,
0.01707126386463642,
-0.09902581572532654,
0.05452912300825119,
0.00030489335767924786,
-0.01922268234193325,
-0.004717796575278044,
0.050644807517528534,
-0.012978321872651577,
0.0766245648264885,
0.03988189250230789,
-0.07293843477964401,
-0.026727406308054924,
0.007910365238785744,
0.13837599754333496,
-0.057013992220163345,
-0.019923720508813858,
0.009763728827238083,
-0.010559773072600365,
-0.007913933135569096,
0.005745813250541687,
0.02385582961142063,
0.08345392346382141,
-3.1396131679318624e-33,
0.021804748103022575,
0.04414784163236618,
-0.020800838246941566,
0.00295081059448421,
-0.07713670283555984,
-0.06675297766923904,
0.035012632608413696,
0.11473193019628525,
-0.06479358673095703,
-0.0032801793422549963,
0.03102344460785389,
0.019038796424865723,
0.06590890139341354,
-0.08602236211299896,
0.016379600390791893,
-0.06901583075523376,
-0.03638800233602524,
0.0903085246682167,
0.09733621031045914,
-0.010527335107326508,
0.03916504979133606,
-0.036663588136434555,
-0.06996195018291473,
0.047302331775426865,
0.014302073046565056,
-0.0627182275056839,
-0.03658349812030792,
-0.0297586340457201,
-0.06527021527290344,
0.047087568789720535,
-0.05918122082948685,
-0.013356108218431473,
-0.0690869465470314,
0.0822831243276596,
-0.09983528405427933,
-0.00612995121628046,
-0.05058286711573601,
-0.02257266640663147,
-0.003707638243213296,
0.02743043750524521,
0.08742331713438034,
0.047777529805898666,
-0.015239441767334938,
-0.07823427766561508,
-0.01889113336801529,
0.0006850704667158425,
-0.0789739340543747,
0.09920745342969894,
0.025257781147956848,
-0.02705136500298977,
-0.03214900568127632,
0.022682711482048035,
-0.037105441093444824,
0.041021425276994705,
-0.04373545944690704,
0.05076952651143074,
-0.05921927094459534,
-0.03143290430307388,
0.026447786018252373,
0.020400745794177055,
-0.05891812965273857,
-0.022790128365159035,
0.05212065577507019,
-0.024218162521719933,
0.026102859526872635,
-0.016604101285338402,
0.03770584613084793,
0.06926622986793518,
0.025052059441804886,
-0.02016071043908596,
-0.003891489701345563,
0.006879045162349939,
0.06634564697742462,
0.09933372586965561,
-0.014535270631313324,
0.041011009365320206,
-0.06763967871665955,
-0.0631984993815422,
-0.08672656863927841,
-0.04900944232940674,
-0.053284116089344025,
-0.08522795885801315,
-0.04938114807009697,
0.03155451640486717,
0.12372874468564987,
0.09199237078428268,
0.011290044523775578,
-0.0941416323184967,
0.051558975130319595,
0.027578815817832947,
0.011292863637208939,
0.10595393925905228,
0.02842998318374157,
0.0356551930308342,
-0.06088889017701149,
-3.694372097129417e-8,
-0.0336914025247097,
-0.009138554334640503,
0.06462371349334717,
-0.03916548565030098,
0.05471722409129143,
0.04228859022259712,
-0.003905045799911022,
-0.00926148146390915,
0.019305042922496796,
0.00784191396087408,
0.10506696999073029,
-0.10678283870220184,
-0.05996086820960045,
-0.010169935412704945,
-0.055602170526981354,
0.03375232219696045,
0.11192169785499573,
0.019297229126095772,
0.03686061128973961,
-0.04483182728290558,
0.10047648102045059,
0.003034834284335375,
0.015022083185613155,
0.06446453928947449,
-0.09990321099758148,
0.01118403673171997,
-0.021157344803214073,
0.0848240777850151,
0.00463751470670104,
-0.02463511750102043,
-0.0027661886997520924,
0.020406438037753105,
0.028608199208974838,
-0.05759027600288391,
0.085788294672966,
0.01942196860909462,
0.05695458874106407,
0.01680869236588478,
-0.05310904607176781,
0.05634802579879761,
0.06405835598707199,
-0.0712912306189537,
-0.003913475666195154,
-0.03259618952870369,
0.04080500826239586,
-0.050680916756391525,
0.04460889846086502,
-0.09983213245868683,
0.018111413344740868,
0.03561491146683693,
0.11537493765354156,
-0.08459652215242386,
0.032649122178554535,
0.06031522899866104,
0.040785741060972214,
-0.04997686669230461,
0.023468703031539917,
-0.03013346903026104,
0.027114521712064743,
0.05445023626089096,
0.016469424590468407,
-0.017359860241413116,
-0.030447879806160927,
-0.03890494257211685
] |
1401.0494 | Minyar Sassi | Ines Benali-Sougui, Minyar Sassi-Hidri, Amel Grissa-Touzi | Flexible SQLf query based on fuzzy linguistic summaries | null | International Conference on Control, Engineering & Information
Technology (CEIT), Proceedings Engineering & Technology, Vol. 1, pp. 175-180,
2013 | null | null | cs.DB | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Data is often partially known, vague or ambiguous in many real world
applications. To deal with such imprecise information, fuzziness is introduced
in the classical model. SQLf is one of the practical language to deal with
flexible fuzzy querying in Fuzzy DataBases (FDB). However, with a huge amount
of fuzzy data, the necessity to work with synthetic views became a challenge
for many DB community researchers. The present work deals with Flexible SQLf
query based on fuzzy linguistic summaries. We use the fuzzy summaries produced
by our Fuzzy-SaintEtiq approach. It provides a description of objects depending
on the fuzzy linguistic labels specified as selection criteria.
| [
{
"created": "Thu, 2 Jan 2014 18:14:33 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Benali-Sougui",
"Ines",
""
],
[
"Sassi-Hidri",
"Minyar",
""
],
[
"Grissa-Touzi",
"Amel",
""
]
] | [
0.046211808919906616,
-0.04749872907996178,
0.03155098110437393,
-0.0018427566392347217,
-0.03887012228369713,
0.061076126992702484,
0.12721973657608032,
-0.020105335861444473,
0.004565540235489607,
-0.014354446902871132,
0.02974032610654831,
-0.06276021152734756,
0.019251514226198196,
0.0479542538523674,
-0.05625171586871147,
0.05994005128741264,
0.11354628205299377,
-0.07442673295736313,
0.018398508429527283,
0.031061438843607903,
-0.07791314274072647,
0.017987417057156563,
-0.001319312141276896,
0.017998382449150085,
0.05813029780983925,
0.018471255898475647,
-0.014840902760624886,
0.03255826234817505,
-0.04018860310316086,
-0.0115197217091918,
-0.009458006359636784,
0.15688520669937134,
0.03252246603369713,
0.11834303289651871,
-0.02915544994175434,
-0.05082651600241661,
-0.09273650497198105,
0.022947626188397408,
0.03803389519453049,
0.0072265206836164,
-0.06572841107845306,
-0.0516684390604496,
-0.027783183380961418,
0.03228377550840378,
0.07138962298631668,
0.029330799356102943,
-0.05321918800473213,
-0.04272347316145897,
0.057534508407115936,
0.05333097279071808,
-0.166525736451149,
0.06263308227062225,
-0.03312552347779274,
0.01516806986182928,
0.05040428787469864,
0.038069527596235275,
-0.034964751452207565,
-0.0003774356737267226,
-0.03594512119889259,
0.0025710551999509335,
0.01369431708008051,
-0.08863122016191483,
0.09852903336286545,
0.004886210430413485,
-0.002048331080004573,
0.009912543930113316,
-0.051728151738643646,
0.03320349007844925,
0.01930912584066391,
-0.06750047951936722,
-0.008230505511164665,
0.09912773221731186,
-0.026466403156518936,
0.010220740921795368,
-0.06400396674871445,
0.08947712928056717,
0.04423973336815834,
-0.003058837028220296,
0.038824815303087234,
0.016334159299731255,
-0.07038655877113342,
0.004234133288264275,
-0.015311975963413715,
-0.01932995207607746,
0.07282090187072754,
0.024854490533471107,
0.10430572926998138,
-0.0693434476852417,
-0.05418688431382179,
-0.0020791064016520977,
0.01657147891819477,
-0.0005412001628428698,
0.14071205258369446,
0.019607119262218475,
-0.024521388113498688,
-0.0633758157491684,
0.009522346779704094,
-0.010779011063277721,
0.06535837054252625,
0.031229784712195396,
-0.0321422815322876,
0.04649246856570244,
-0.012368681840598583,
-0.14724795520305634,
-0.0758337676525116,
-0.011684532277286053,
0.040042463690042496,
-0.035451389849185944,
-0.013589360751211643,
-0.11629794538021088,
-0.08384060114622116,
-0.007257713470607996,
0.03876015916466713,
-0.07434698939323425,
-0.09990892559289932,
-0.04558492451906204,
0.07746437937021255,
0.024727391079068184,
0.03664495423436165,
-0.06747131049633026,
0.00928560271859169,
0.0271189883351326,
0.03743413835763931,
0.05169565603137016,
-0.06048111245036125,
0.015251747332513332,
-0.01534513384103775,
2.698494953790383e-33,
0.018288953229784966,
-0.06071707233786583,
0.0066503919661045074,
-0.05717452988028526,
0.03552697226405144,
-0.07753624767065048,
-0.04847012460231781,
-0.014271469786763191,
0.017423706129193306,
0.011238949373364449,
0.08266390860080719,
0.03774544224143028,
-0.02351018227636814,
-0.04832828789949417,
0.021911492571234703,
-0.0497414693236351,
-0.008166913874447346,
0.048171088099479675,
-0.019333982840180397,
-0.04595924913883209,
0.029276419430971146,
0.014420873485505581,
0.0459081195294857,
0.038856036961078644,
0.06501901894807816,
0.024422762915492058,
0.0472424179315567,
0.019048765301704407,
-0.0043801795691251755,
0.022095082327723503,
-0.004218304064124823,
-0.07059013098478317,
-0.027942268177866936,
-0.08390644192695618,
0.050817474722862244,
0.0055611045099794865,
-0.03622214123606682,
-0.06574765592813492,
0.04320569708943367,
0.02802056260406971,
-0.06935230642557144,
0.017789680510759354,
-0.006981879472732544,
-0.05801224336028099,
0.016800522804260254,
0.0811135470867157,
-0.049464330077171326,
0.08427540212869644,
0.007259442936629057,
0.002137094270437956,
-0.02795497141778469,
-0.07732269912958145,
0.014743810519576073,
0.011002388782799244,
0.046187207102775574,
0.02851507067680359,
-0.04163685441017151,
-0.010068443603813648,
0.002972956746816635,
0.039777763187885284,
-0.13754583895206451,
-0.016231726855039597,
-0.03670873865485191,
-0.06920181214809418,
0.015175893902778625,
0.012873180210590363,
-0.007423322182148695,
0.059291452169418335,
0.10422665625810623,
-0.0055146049708127975,
0.03372995927929878,
0.0777052491903305,
0.020728958770632744,
-0.007902279496192932,
-0.009645091369748116,
0.05072120577096939,
0.0308848787099123,
-0.011338543146848679,
-0.02790874056518078,
-0.009317213669419289,
-0.05752073600888252,
0.007237655576318502,
0.02990659326314926,
-0.037625156342983246,
-0.01960272155702114,
0.0565764419734478,
0.046942535787820816,
0.023223349824547768,
-0.02943522296845913,
-0.031901247799396515,
-0.0385458879172802,
-0.01087903045117855,
-0.030850369483232498,
-0.021670566871762276,
0.061976175755262375,
-2.8241644834429014e-33,
-0.05152209475636482,
0.006283021066337824,
-0.07509405165910721,
-0.04170955345034599,
0.04172534495592117,
-0.04740620404481888,
0.01207916159182787,
0.0549943670630455,
0.031165072694420815,
-0.041866328567266464,
-0.03276672959327698,
-0.10317375510931015,
0.014882647432386875,
-0.054632700979709625,
-0.022099342197179794,
0.03912995383143425,
0.04375281557440758,
-0.08049076050519943,
-0.09518193453550339,
0.18363919854164124,
-0.0487523078918457,
0.05036613717675209,
-0.0836736261844635,
0.05590673163533211,
0.05613652616739273,
0.10302961617708206,
-0.0020631083752959967,
-0.00837919395416975,
-0.05684834346175194,
0.003927009645849466,
0.0054700374603271484,
-0.05437168478965759,
-0.04566950350999832,
-0.07229574769735336,
-0.06109663099050522,
-0.15108154714107513,
0.008303254842758179,
-0.06164852902293205,
0.001880174851976335,
0.02451993152499199,
-0.07541061192750931,
0.05487307161092758,
0.057995349168777466,
-0.013769707642495632,
-0.055881522595882416,
0.009329483844339848,
-0.013210343196988106,
-0.04481308534741402,
0.023090194910764694,
0.002737772883847356,
0.031897976994514465,
-0.015852974727749825,
-0.05034904181957245,
0.013041798025369644,
0.03666941821575165,
-0.0855439230799675,
-0.01593836396932602,
-0.029571497812867165,
-0.0678926631808281,
-0.014913499355316162,
-0.0023159950505942106,
-0.0014041876420378685,
0.033120814710855484,
0.020245427265763283,
-0.013704359531402588,
-0.042780376970767975,
-0.06839347630739212,
-0.0373988077044487,
-0.05908377468585968,
-0.07919519394636154,
0.07439109683036804,
-0.004258153960108757,
0.02178981341421604,
0.06662406772375107,
0.038039229810237885,
0.04511834308505058,
0.023894742131233215,
0.027669072151184082,
0.0723046213388443,
0.10112892091274261,
0.028138982132077217,
-0.06261895596981049,
0.12373998761177063,
0.07671591639518738,
-0.03452306240797043,
-0.036169618368148804,
-0.008042657747864723,
-0.029770763590931892,
0.035245709121227264,
-0.00545166153460741,
-0.04199030250310898,
-0.07763298600912094,
-0.045061469078063965,
0.052574001252651215,
0.037904687225818634,
-3.937980252999296e-8,
-0.031129226088523865,
0.037188224494457245,
-0.06361986696720123,
-0.02123635821044445,
0.06619827449321747,
-0.05416519194841385,
-0.02787097543478012,
0.05236092954874039,
-0.08975520730018616,
-0.00840395875275135,
0.028517931699752808,
0.05750078707933426,
-0.019554434344172478,
0.0047666700556874275,
0.0031230326276272535,
0.047442320734262466,
0.0022303552832454443,
0.0073807453736662865,
0.03976012021303177,
0.028017982840538025,
-0.03274419531226158,
0.036488283425569534,
-0.04593488201498985,
0.06340344995260239,
0.0613507479429245,
0.021746477112174034,
-0.1185794249176979,
0.009601532481610775,
0.06008040904998779,
-0.001409412594512105,
0.05155948922038078,
0.03092300333082676,
0.023330969735980034,
0.009814118035137653,
0.02200411632657051,
-0.011676786467432976,
-0.007235076278448105,
-0.012700987979769707,
-0.08534988760948181,
0.05117393657565117,
0.05118605121970177,
0.025640228763222694,
0.013751119375228882,
0.012836656533181667,
0.02102634683251381,
-0.03710930049419403,
0.052505843341350555,
-0.07238385081291199,
0.005702691152691841,
0.013351976871490479,
0.027186540886759758,
-0.06871376186609268,
-0.008705507032573223,
0.022756148129701614,
-0.009410582482814789,
0.059472087770700455,
-0.028559697791934013,
0.06095873564481735,
-0.0026368978433310986,
-0.07792181521654129,
-0.011288459412753582,
0.011645100079476833,
0.032695602625608444,
0.06112869456410408
] | null | null | null | null | null | null | null | [
0.046211808919906616,
-0.04749872907996178,
0.03155098110437393,
-0.0018427566392347217,
-0.03887012228369713,
0.061076126992702484,
0.12721973657608032,
-0.020105335861444473,
0.004565540235489607,
-0.014354446902871132,
0.02974032610654831,
-0.06276021152734756,
0.019251514226198196,
0.0479542538523674,
-0.05625171586871147,
0.05994005128741264,
0.11354628205299377,
-0.07442673295736313,
0.018398508429527283,
0.031061438843607903,
-0.07791314274072647,
0.017987417057156563,
-0.001319312141276896,
0.017998382449150085,
0.05813029780983925,
0.018471255898475647,
-0.014840902760624886,
0.03255826234817505,
-0.04018860310316086,
-0.0115197217091918,
-0.009458006359636784,
0.15688520669937134,
0.03252246603369713,
0.11834303289651871,
-0.02915544994175434,
-0.05082651600241661,
-0.09273650497198105,
0.022947626188397408,
0.03803389519453049,
0.0072265206836164,
-0.06572841107845306,
-0.0516684390604496,
-0.027783183380961418,
0.03228377550840378,
0.07138962298631668,
0.029330799356102943,
-0.05321918800473213,
-0.04272347316145897,
0.057534508407115936,
0.05333097279071808,
-0.166525736451149,
0.06263308227062225,
-0.03312552347779274,
0.01516806986182928,
0.05040428787469864,
0.038069527596235275,
-0.034964751452207565,
-0.0003774356737267226,
-0.03594512119889259,
0.0025710551999509335,
0.01369431708008051,
-0.08863122016191483,
0.09852903336286545,
0.004886210430413485,
-0.002048331080004573,
0.009912543930113316,
-0.051728151738643646,
0.03320349007844925,
0.01930912584066391,
-0.06750047951936722,
-0.008230505511164665,
0.09912773221731186,
-0.026466403156518936,
0.010220740921795368,
-0.06400396674871445,
0.08947712928056717,
0.04423973336815834,
-0.003058837028220296,
0.038824815303087234,
0.016334159299731255,
-0.07038655877113342,
0.004234133288264275,
-0.015311975963413715,
-0.01932995207607746,
0.07282090187072754,
0.024854490533471107,
0.10430572926998138,
-0.0693434476852417,
-0.05418688431382179,
-0.0020791064016520977,
0.01657147891819477,
-0.0005412001628428698,
0.14071205258369446,
0.019607119262218475,
-0.024521388113498688,
-0.0633758157491684,
0.009522346779704094,
-0.010779011063277721,
0.06535837054252625,
0.031229784712195396,
-0.0321422815322876,
0.04649246856570244,
-0.012368681840598583,
-0.14724795520305634,
-0.0758337676525116,
-0.011684532277286053,
0.040042463690042496,
-0.035451389849185944,
-0.013589360751211643,
-0.11629794538021088,
-0.08384060114622116,
-0.007257713470607996,
0.03876015916466713,
-0.07434698939323425,
-0.09990892559289932,
-0.04558492451906204,
0.07746437937021255,
0.024727391079068184,
0.03664495423436165,
-0.06747131049633026,
0.00928560271859169,
0.0271189883351326,
0.03743413835763931,
0.05169565603137016,
-0.06048111245036125,
0.015251747332513332,
-0.01534513384103775,
2.698494953790383e-33,
0.018288953229784966,
-0.06071707233786583,
0.0066503919661045074,
-0.05717452988028526,
0.03552697226405144,
-0.07753624767065048,
-0.04847012460231781,
-0.014271469786763191,
0.017423706129193306,
0.011238949373364449,
0.08266390860080719,
0.03774544224143028,
-0.02351018227636814,
-0.04832828789949417,
0.021911492571234703,
-0.0497414693236351,
-0.008166913874447346,
0.048171088099479675,
-0.019333982840180397,
-0.04595924913883209,
0.029276419430971146,
0.014420873485505581,
0.0459081195294857,
0.038856036961078644,
0.06501901894807816,
0.024422762915492058,
0.0472424179315567,
0.019048765301704407,
-0.0043801795691251755,
0.022095082327723503,
-0.004218304064124823,
-0.07059013098478317,
-0.027942268177866936,
-0.08390644192695618,
0.050817474722862244,
0.0055611045099794865,
-0.03622214123606682,
-0.06574765592813492,
0.04320569708943367,
0.02802056260406971,
-0.06935230642557144,
0.017789680510759354,
-0.006981879472732544,
-0.05801224336028099,
0.016800522804260254,
0.0811135470867157,
-0.049464330077171326,
0.08427540212869644,
0.007259442936629057,
0.002137094270437956,
-0.02795497141778469,
-0.07732269912958145,
0.014743810519576073,
0.011002388782799244,
0.046187207102775574,
0.02851507067680359,
-0.04163685441017151,
-0.010068443603813648,
0.002972956746816635,
0.039777763187885284,
-0.13754583895206451,
-0.016231726855039597,
-0.03670873865485191,
-0.06920181214809418,
0.015175893902778625,
0.012873180210590363,
-0.007423322182148695,
0.059291452169418335,
0.10422665625810623,
-0.0055146049708127975,
0.03372995927929878,
0.0777052491903305,
0.020728958770632744,
-0.007902279496192932,
-0.009645091369748116,
0.05072120577096939,
0.0308848787099123,
-0.011338543146848679,
-0.02790874056518078,
-0.009317213669419289,
-0.05752073600888252,
0.007237655576318502,
0.02990659326314926,
-0.037625156342983246,
-0.01960272155702114,
0.0565764419734478,
0.046942535787820816,
0.023223349824547768,
-0.02943522296845913,
-0.031901247799396515,
-0.0385458879172802,
-0.01087903045117855,
-0.030850369483232498,
-0.021670566871762276,
0.061976175755262375,
-2.8241644834429014e-33,
-0.05152209475636482,
0.006283021066337824,
-0.07509405165910721,
-0.04170955345034599,
0.04172534495592117,
-0.04740620404481888,
0.01207916159182787,
0.0549943670630455,
0.031165072694420815,
-0.041866328567266464,
-0.03276672959327698,
-0.10317375510931015,
0.014882647432386875,
-0.054632700979709625,
-0.022099342197179794,
0.03912995383143425,
0.04375281557440758,
-0.08049076050519943,
-0.09518193453550339,
0.18363919854164124,
-0.0487523078918457,
0.05036613717675209,
-0.0836736261844635,
0.05590673163533211,
0.05613652616739273,
0.10302961617708206,
-0.0020631083752959967,
-0.00837919395416975,
-0.05684834346175194,
0.003927009645849466,
0.0054700374603271484,
-0.05437168478965759,
-0.04566950350999832,
-0.07229574769735336,
-0.06109663099050522,
-0.15108154714107513,
0.008303254842758179,
-0.06164852902293205,
0.001880174851976335,
0.02451993152499199,
-0.07541061192750931,
0.05487307161092758,
0.057995349168777466,
-0.013769707642495632,
-0.055881522595882416,
0.009329483844339848,
-0.013210343196988106,
-0.04481308534741402,
0.023090194910764694,
0.002737772883847356,
0.031897976994514465,
-0.015852974727749825,
-0.05034904181957245,
0.013041798025369644,
0.03666941821575165,
-0.0855439230799675,
-0.01593836396932602,
-0.029571497812867165,
-0.0678926631808281,
-0.014913499355316162,
-0.0023159950505942106,
-0.0014041876420378685,
0.033120814710855484,
0.020245427265763283,
-0.013704359531402588,
-0.042780376970767975,
-0.06839347630739212,
-0.0373988077044487,
-0.05908377468585968,
-0.07919519394636154,
0.07439109683036804,
-0.004258153960108757,
0.02178981341421604,
0.06662406772375107,
0.038039229810237885,
0.04511834308505058,
0.023894742131233215,
0.027669072151184082,
0.0723046213388443,
0.10112892091274261,
0.028138982132077217,
-0.06261895596981049,
0.12373998761177063,
0.07671591639518738,
-0.03452306240797043,
-0.036169618368148804,
-0.008042657747864723,
-0.029770763590931892,
0.035245709121227264,
-0.00545166153460741,
-0.04199030250310898,
-0.07763298600912094,
-0.045061469078063965,
0.052574001252651215,
0.037904687225818634,
-3.937980252999296e-8,
-0.031129226088523865,
0.037188224494457245,
-0.06361986696720123,
-0.02123635821044445,
0.06619827449321747,
-0.05416519194841385,
-0.02787097543478012,
0.05236092954874039,
-0.08975520730018616,
-0.00840395875275135,
0.028517931699752808,
0.05750078707933426,
-0.019554434344172478,
0.0047666700556874275,
0.0031230326276272535,
0.047442320734262466,
0.0022303552832454443,
0.0073807453736662865,
0.03976012021303177,
0.028017982840538025,
-0.03274419531226158,
0.036488283425569534,
-0.04593488201498985,
0.06340344995260239,
0.0613507479429245,
0.021746477112174034,
-0.1185794249176979,
0.009601532481610775,
0.06008040904998779,
-0.001409412594512105,
0.05155948922038078,
0.03092300333082676,
0.023330969735980034,
0.009814118035137653,
0.02200411632657051,
-0.011676786467432976,
-0.007235076278448105,
-0.012700987979769707,
-0.08534988760948181,
0.05117393657565117,
0.05118605121970177,
0.025640228763222694,
0.013751119375228882,
0.012836656533181667,
0.02102634683251381,
-0.03710930049419403,
0.052505843341350555,
-0.07238385081291199,
0.005702691152691841,
0.013351976871490479,
0.027186540886759758,
-0.06871376186609268,
-0.008705507032573223,
0.022756148129701614,
-0.009410582482814789,
0.059472087770700455,
-0.028559697791934013,
0.06095873564481735,
-0.0026368978433310986,
-0.07792181521654129,
-0.011288459412753582,
0.011645100079476833,
0.032695602625608444,
0.06112869456410408
] |
1401.0496 | Iasson Karafyllis | Iasson Karafyllis and Markos Papageorgiou | Global Stability Results for Traffic Networks | 22 pages, 1 figure, to be submitted for possible publication | null | null | null | math.OC cs.SY math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper provides sufficient conditions for global asymptotic stability and
global exponential stability, which can be applied to nonlinear, large-scale,
uncertain discrete-time systems. The conditions are derived by means of vector
Lyapunov functions. The obtained results are applied to traffic networks for
the derivation of sufficient conditions of global exponential stability of the
uncongested equilibrium point of the network. Specific results and algorithms
are provided for freeway models. Various examples illustrate the applicability
of the obtained results.
| [
{
"created": "Thu, 2 Jan 2014 18:16:51 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Mar 2014 08:58:03 GMT",
"version": "v2"
}
] | 2014-03-25 | [
[
"Karafyllis",
"Iasson",
""
],
[
"Papageorgiou",
"Markos",
""
]
] | [
0.024020276963710785,
-0.04296179488301277,
-0.010908565483987331,
-0.09761229902505875,
-0.05453915148973465,
-0.004341001156717539,
0.008089171722531319,
0.02413060888648033,
0.08943671733140945,
0.04018164426088333,
0.018173838034272194,
0.060348790138959885,
0.039602987468242645,
-0.021016322076320648,
-0.0646451935172081,
0.08291050791740417,
0.024773461744189262,
-0.021870767697691917,
-0.020890312269330025,
-0.017869004979729652,
0.06257893145084381,
0.049533624202013016,
-0.026540257036685944,
-0.017960140481591225,
-0.05828077346086502,
-0.04824746027588844,
-0.07116814702749252,
-0.008256700821220875,
0.014629147946834564,
-0.05045909807085991,
-0.05691685900092125,
-0.037520185112953186,
-0.06316658109426498,
0.017333984375,
-0.06493586301803589,
-0.047811564058065414,
-0.061378128826618195,
-0.023554334416985512,
0.020506685599684715,
0.03231966122984886,
0.056399788707494736,
0.014910748228430748,
-0.0489116832613945,
-0.03380173072218895,
0.08961156755685806,
-0.08972667902708054,
0.0009445194737054408,
0.06541617214679718,
-0.012692607007920742,
-0.09939136356115341,
0.023519977927207947,
0.033225167542696,
0.014207271859049797,
0.00351021159440279,
0.007795237936079502,
-0.07563359290361404,
-0.011945493519306183,
0.027818547561764717,
-0.059747833758592606,
0.06350549310445786,
0.025847086682915688,
-0.028220366686582565,
0.07212752848863602,
0.006002799142152071,
0.023190036416053772,
0.06433971226215363,
0.016635505482554436,
0.05888526886701584,
0.022767797112464905,
0.06532540917396545,
-0.029718764126300812,
-0.05015593022108078,
-0.02325575426220894,
0.0068670338951051235,
0.04705788195133209,
-0.029409758746623993,
0.061575647443532944,
0.004195900168269873,
-0.08003374189138412,
0.08368338644504547,
0.03591371327638626,
0.012491321191191673,
-0.008869502693414688,
0.009494265541434288,
-0.015519557520747185,
-0.05717221274971962,
-0.00133440550416708,
0.0357145257294178,
0.051826294511556625,
0.015087839215993881,
-0.036594219505786896,
0.0849892646074295,
0.1086161807179451,
-0.036163125187158585,
0.05343657359480858,
-0.018799832090735435,
-0.005940981209278107,
-0.041850123554468155,
0.04953604191541672,
0.02045556902885437,
-0.04041644185781479,
-0.005624191835522652,
0.09076010435819626,
0.0015575445722788572,
-0.003792743431404233,
0.010579786263406277,
0.04351506009697914,
0.028902562335133553,
-0.006193314678966999,
-0.038520727306604385,
0.07579740136861801,
-0.050943467766046524,
0.010786090977489948,
0.003951784688979387,
-0.1027723029255867,
-0.05779368430376053,
0.06693253666162491,
-0.07441596686840057,
-0.05122287943959236,
0.009465991519391537,
-0.041701946407556534,
0.019277790561318398,
0.0016619752859696746,
0.06934241950511932,
-0.040316056460142136,
0.052122801542282104,
0.038265835493803024,
1.9264122644130576e-33,
-0.09573571383953094,
-0.0884099006652832,
-0.013216391205787659,
-0.00935339741408825,
0.07560610771179199,
0.025385243818163872,
-0.03749359771609306,
-0.04055130481719971,
-0.013747720047831535,
-0.05782878398895264,
0.038937125355005264,
-0.00890377163887024,
0.039914630353450775,
-0.024718642234802246,
0.05270782858133316,
0.03833647072315216,
-0.024896780028939247,
-0.053085338324308395,
0.10486970841884613,
0.00290652085095644,
0.08095688372850418,
-0.13989965617656708,
-0.053535979241132736,
0.00760531984269619,
-0.032597996294498444,
-0.030192045494914055,
-0.043361980468034744,
0.09849472343921661,
0.009562425315380096,
-0.009602411650121212,
-0.048722878098487854,
0.056063588708639145,
-0.10296571254730225,
0.0200384259223938,
0.03348226100206375,
0.06423234194517136,
-0.08602947741746902,
0.010067947208881378,
0.036848753690719604,
0.035084646195173264,
0.059109076857566833,
0.008323820307850838,
-0.028066040948033333,
0.04979205131530762,
-0.03491966798901558,
-0.007861493155360222,
-0.01294036116451025,
0.009039894677698612,
-0.022838465869426727,
0.018759433180093765,
-0.05783914774656296,
-0.016276469454169273,
-0.0314873531460762,
-0.1255347579717636,
-0.034753214567899704,
0.05533788725733757,
-0.04550996050238609,
0.06594736874103546,
-0.07359675318002701,
0.06510186195373535,
-0.02873065322637558,
-0.128642275929451,
0.021735208109021187,
-0.09023820608854294,
0.054371561855077744,
0.07445526868104935,
-0.02348630130290985,
0.015591902658343315,
0.03380102291703224,
-0.0650353953242302,
0.10691031068563461,
0.021958768367767334,
0.10359834879636765,
0.01838011108338833,
0.00425583403557539,
-0.039423536509275436,
-0.11845339089632034,
-0.017542531713843346,
-0.08337365835905075,
0.0864727646112442,
-0.06556575745344162,
-0.015516221523284912,
-0.08275002986192703,
0.008434195071458817,
0.1128295361995697,
-0.043443042784929276,
0.008066752925515175,
0.05436559394001961,
0.03116742894053459,
0.018272297456860542,
-0.08767345547676086,
0.057334691286087036,
0.0520266517996788,
0.020343167707324028,
-0.02732328698039055,
-3.4423786357174356e-33,
0.037910666316747665,
0.03681173175573349,
-0.009211896918714046,
0.01529710739850998,
0.047407057136297226,
0.1112130656838417,
-0.0362788550555706,
0.04269043356180191,
-0.02667870931327343,
0.06276009231805801,
0.007572202477604151,
0.08365385979413986,
0.02846062369644642,
-0.02101094275712967,
0.04569409787654877,
-0.03209654986858368,
0.09432809054851532,
-0.01751290075480938,
-0.007659058552235365,
-0.03201115503907204,
-0.06758538633584976,
-0.11863572895526886,
-0.05826409161090851,
-0.01049688272178173,
0.0758008360862732,
0.00016134383622556925,
-0.13440005481243134,
-0.016548173502087593,
-0.05391426011919975,
0.023098863661289215,
-0.07010569423437119,
0.03664233162999153,
-0.025083191692829132,
0.033009063452482224,
-0.0021054642274975777,
0.048335134983062744,
-0.03658223897218704,
-0.009116183035075665,
0.05654514953494072,
0.03338512405753136,
-0.06456912308931351,
-0.046332456171512604,
0.08743444830179214,
0.0026282097678631544,
0.04642650857567787,
-0.009926044382154942,
0.03372955694794655,
0.05878826975822449,
0.015302379615604877,
0.025065166875720024,
0.04446723684668541,
0.03431537374854088,
0.005659677553921938,
0.022699253633618355,
-0.0455741249024868,
0.13100731372833252,
0.07464031130075455,
0.060087140649557114,
-0.0084528224542737,
0.005520745180547237,
-0.006434175185859203,
-0.04765137657523155,
-0.07509300112724304,
0.07935778051614761,
-0.05442754179239273,
-0.1333441138267517,
0.009289026260375977,
-0.007569354027509689,
-0.017831608653068542,
-0.025681933388113976,
-0.00661448622122407,
0.06821956485509872,
0.009107034653425217,
0.008018220774829388,
-0.00938805565237999,
-0.04570382833480835,
0.0001715926919132471,
0.02958221733570099,
0.024742644280195236,
-0.06364524364471436,
-0.015391559340059757,
0.08558384329080582,
0.04116309806704521,
0.08761173486709595,
-0.06790854036808014,
-0.06485214084386826,
0.05653628334403038,
-0.016168778762221336,
0.00814183708280325,
0.02426854521036148,
0.03994521126151085,
-0.015619926154613495,
-0.06588952243328094,
-0.06942712515592575,
-0.006661713123321533,
-4.0591995542627046e-8,
0.00975606869906187,
0.0159755889326334,
-0.08652059733867645,
-0.04913024231791496,
0.00571789825335145,
0.06814181804656982,
0.016739243641495705,
-0.08202536404132843,
-0.0314873531460762,
0.07559209316968918,
0.012749535031616688,
0.029797891154885292,
-0.021355722099542618,
0.005311510991305113,
-0.061758361756801605,
-0.007781159598380327,
-0.009305741637945175,
0.013178004883229733,
0.04071911796927452,
-0.024136647582054138,
-0.06455488502979279,
-0.018201390281319618,
-0.0627979189157486,
0.10830183327198029,
0.02212156355381012,
-0.048466265201568604,
-0.025333818048238754,
-0.045519210398197174,
0.012604602612555027,
0.025716647505760193,
-0.028863370418548584,
0.053655583411455154,
-0.02676795981824398,
0.00755295529961586,
0.020099980756640434,
-0.07427620887756348,
-0.005598695483058691,
0.02048100344836712,
0.06909312307834625,
0.06984478235244751,
0.0490996316075325,
0.046116236597299576,
0.022494830191135406,
-0.03535040467977524,
0.02382691390812397,
-0.0047759381122887135,
-0.019095538184046745,
0.012041857466101646,
-0.014547751285135746,
0.0778387188911438,
0.05788671597838402,
0.007871911861002445,
-0.04078470170497894,
0.0131957046687603,
-0.03787614405155182,
-0.08214975893497467,
0.033148057758808136,
-0.06043819338083267,
0.013116486370563507,
0.01602405123412609,
-0.014827936887741089,
0.14118748903274536,
0.02155434712767601,
-0.07387150824069977
] | null | null | null | null | null | null | null | [
0.024020276963710785,
-0.04296179488301277,
-0.010908565483987331,
-0.09761229902505875,
-0.05453915148973465,
-0.004341001156717539,
0.008089171722531319,
0.02413060888648033,
0.08943671733140945,
0.04018164426088333,
0.018173838034272194,
0.060348790138959885,
0.039602987468242645,
-0.021016322076320648,
-0.0646451935172081,
0.08291050791740417,
0.024773461744189262,
-0.021870767697691917,
-0.020890312269330025,
-0.017869004979729652,
0.06257893145084381,
0.049533624202013016,
-0.026540257036685944,
-0.017960140481591225,
-0.05828077346086502,
-0.04824746027588844,
-0.07116814702749252,
-0.008256700821220875,
0.014629147946834564,
-0.05045909807085991,
-0.05691685900092125,
-0.037520185112953186,
-0.06316658109426498,
0.017333984375,
-0.06493586301803589,
-0.047811564058065414,
-0.061378128826618195,
-0.023554334416985512,
0.020506685599684715,
0.03231966122984886,
0.056399788707494736,
0.014910748228430748,
-0.0489116832613945,
-0.03380173072218895,
0.08961156755685806,
-0.08972667902708054,
0.0009445194737054408,
0.06541617214679718,
-0.012692607007920742,
-0.09939136356115341,
0.023519977927207947,
0.033225167542696,
0.014207271859049797,
0.00351021159440279,
0.007795237936079502,
-0.07563359290361404,
-0.011945493519306183,
0.027818547561764717,
-0.059747833758592606,
0.06350549310445786,
0.025847086682915688,
-0.028220366686582565,
0.07212752848863602,
0.006002799142152071,
0.023190036416053772,
0.06433971226215363,
0.016635505482554436,
0.05888526886701584,
0.022767797112464905,
0.06532540917396545,
-0.029718764126300812,
-0.05015593022108078,
-0.02325575426220894,
0.0068670338951051235,
0.04705788195133209,
-0.029409758746623993,
0.061575647443532944,
0.004195900168269873,
-0.08003374189138412,
0.08368338644504547,
0.03591371327638626,
0.012491321191191673,
-0.008869502693414688,
0.009494265541434288,
-0.015519557520747185,
-0.05717221274971962,
-0.00133440550416708,
0.0357145257294178,
0.051826294511556625,
0.015087839215993881,
-0.036594219505786896,
0.0849892646074295,
0.1086161807179451,
-0.036163125187158585,
0.05343657359480858,
-0.018799832090735435,
-0.005940981209278107,
-0.041850123554468155,
0.04953604191541672,
0.02045556902885437,
-0.04041644185781479,
-0.005624191835522652,
0.09076010435819626,
0.0015575445722788572,
-0.003792743431404233,
0.010579786263406277,
0.04351506009697914,
0.028902562335133553,
-0.006193314678966999,
-0.038520727306604385,
0.07579740136861801,
-0.050943467766046524,
0.010786090977489948,
0.003951784688979387,
-0.1027723029255867,
-0.05779368430376053,
0.06693253666162491,
-0.07441596686840057,
-0.05122287943959236,
0.009465991519391537,
-0.041701946407556534,
0.019277790561318398,
0.0016619752859696746,
0.06934241950511932,
-0.040316056460142136,
0.052122801542282104,
0.038265835493803024,
1.9264122644130576e-33,
-0.09573571383953094,
-0.0884099006652832,
-0.013216391205787659,
-0.00935339741408825,
0.07560610771179199,
0.025385243818163872,
-0.03749359771609306,
-0.04055130481719971,
-0.013747720047831535,
-0.05782878398895264,
0.038937125355005264,
-0.00890377163887024,
0.039914630353450775,
-0.024718642234802246,
0.05270782858133316,
0.03833647072315216,
-0.024896780028939247,
-0.053085338324308395,
0.10486970841884613,
0.00290652085095644,
0.08095688372850418,
-0.13989965617656708,
-0.053535979241132736,
0.00760531984269619,
-0.032597996294498444,
-0.030192045494914055,
-0.043361980468034744,
0.09849472343921661,
0.009562425315380096,
-0.009602411650121212,
-0.048722878098487854,
0.056063588708639145,
-0.10296571254730225,
0.0200384259223938,
0.03348226100206375,
0.06423234194517136,
-0.08602947741746902,
0.010067947208881378,
0.036848753690719604,
0.035084646195173264,
0.059109076857566833,
0.008323820307850838,
-0.028066040948033333,
0.04979205131530762,
-0.03491966798901558,
-0.007861493155360222,
-0.01294036116451025,
0.009039894677698612,
-0.022838465869426727,
0.018759433180093765,
-0.05783914774656296,
-0.016276469454169273,
-0.0314873531460762,
-0.1255347579717636,
-0.034753214567899704,
0.05533788725733757,
-0.04550996050238609,
0.06594736874103546,
-0.07359675318002701,
0.06510186195373535,
-0.02873065322637558,
-0.128642275929451,
0.021735208109021187,
-0.09023820608854294,
0.054371561855077744,
0.07445526868104935,
-0.02348630130290985,
0.015591902658343315,
0.03380102291703224,
-0.0650353953242302,
0.10691031068563461,
0.021958768367767334,
0.10359834879636765,
0.01838011108338833,
0.00425583403557539,
-0.039423536509275436,
-0.11845339089632034,
-0.017542531713843346,
-0.08337365835905075,
0.0864727646112442,
-0.06556575745344162,
-0.015516221523284912,
-0.08275002986192703,
0.008434195071458817,
0.1128295361995697,
-0.043443042784929276,
0.008066752925515175,
0.05436559394001961,
0.03116742894053459,
0.018272297456860542,
-0.08767345547676086,
0.057334691286087036,
0.0520266517996788,
0.020343167707324028,
-0.02732328698039055,
-3.4423786357174356e-33,
0.037910666316747665,
0.03681173175573349,
-0.009211896918714046,
0.01529710739850998,
0.047407057136297226,
0.1112130656838417,
-0.0362788550555706,
0.04269043356180191,
-0.02667870931327343,
0.06276009231805801,
0.007572202477604151,
0.08365385979413986,
0.02846062369644642,
-0.02101094275712967,
0.04569409787654877,
-0.03209654986858368,
0.09432809054851532,
-0.01751290075480938,
-0.007659058552235365,
-0.03201115503907204,
-0.06758538633584976,
-0.11863572895526886,
-0.05826409161090851,
-0.01049688272178173,
0.0758008360862732,
0.00016134383622556925,
-0.13440005481243134,
-0.016548173502087593,
-0.05391426011919975,
0.023098863661289215,
-0.07010569423437119,
0.03664233162999153,
-0.025083191692829132,
0.033009063452482224,
-0.0021054642274975777,
0.048335134983062744,
-0.03658223897218704,
-0.009116183035075665,
0.05654514953494072,
0.03338512405753136,
-0.06456912308931351,
-0.046332456171512604,
0.08743444830179214,
0.0026282097678631544,
0.04642650857567787,
-0.009926044382154942,
0.03372955694794655,
0.05878826975822449,
0.015302379615604877,
0.025065166875720024,
0.04446723684668541,
0.03431537374854088,
0.005659677553921938,
0.022699253633618355,
-0.0455741249024868,
0.13100731372833252,
0.07464031130075455,
0.060087140649557114,
-0.0084528224542737,
0.005520745180547237,
-0.006434175185859203,
-0.04765137657523155,
-0.07509300112724304,
0.07935778051614761,
-0.05442754179239273,
-0.1333441138267517,
0.009289026260375977,
-0.007569354027509689,
-0.017831608653068542,
-0.025681933388113976,
-0.00661448622122407,
0.06821956485509872,
0.009107034653425217,
0.008018220774829388,
-0.00938805565237999,
-0.04570382833480835,
0.0001715926919132471,
0.02958221733570099,
0.024742644280195236,
-0.06364524364471436,
-0.015391559340059757,
0.08558384329080582,
0.04116309806704521,
0.08761173486709595,
-0.06790854036808014,
-0.06485214084386826,
0.05653628334403038,
-0.016168778762221336,
0.00814183708280325,
0.02426854521036148,
0.03994521126151085,
-0.015619926154613495,
-0.06588952243328094,
-0.06942712515592575,
-0.006661713123321533,
-4.0591995542627046e-8,
0.00975606869906187,
0.0159755889326334,
-0.08652059733867645,
-0.04913024231791496,
0.00571789825335145,
0.06814181804656982,
0.016739243641495705,
-0.08202536404132843,
-0.0314873531460762,
0.07559209316968918,
0.012749535031616688,
0.029797891154885292,
-0.021355722099542618,
0.005311510991305113,
-0.061758361756801605,
-0.007781159598380327,
-0.009305741637945175,
0.013178004883229733,
0.04071911796927452,
-0.024136647582054138,
-0.06455488502979279,
-0.018201390281319618,
-0.0627979189157486,
0.10830183327198029,
0.02212156355381012,
-0.048466265201568604,
-0.025333818048238754,
-0.045519210398197174,
0.012604602612555027,
0.025716647505760193,
-0.028863370418548584,
0.053655583411455154,
-0.02676795981824398,
0.00755295529961586,
0.020099980756640434,
-0.07427620887756348,
-0.005598695483058691,
0.02048100344836712,
0.06909312307834625,
0.06984478235244751,
0.0490996316075325,
0.046116236597299576,
0.022494830191135406,
-0.03535040467977524,
0.02382691390812397,
-0.0047759381122887135,
-0.019095538184046745,
0.012041857466101646,
-0.014547751285135746,
0.0778387188911438,
0.05788671597838402,
0.007871911861002445,
-0.04078470170497894,
0.0131957046687603,
-0.03787614405155182,
-0.08214975893497467,
0.033148057758808136,
-0.06043819338083267,
0.013116486370563507,
0.01602405123412609,
-0.014827936887741089,
0.14118748903274536,
0.02155434712767601,
-0.07387150824069977
] |
1401.0508 | Giulio Magli | Giulio Magli | The Giza "written" landscape and the double project of King Khufu | Archaeoastronomy/History of Astronomy | Time and Mind 9, 57-74, 2016 | null | null | physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent years, different scientific disciplines, from Physics to
Egyptology, from Geology to Archaeoastronomy, evidenced a series of clues
pointing to the possibility that the original project of the pyramid complex of
Khufu at Giza included also the project of the second pyramid complex at the
same site, that of Khafra. The aim of the present paper is to discuss this
issue in a systematic fashion and to explore its consequences on the way the
ancient Egyptians conceived and built monuments and entire landscapes during
the Old Kingdom.
| [
{
"created": "Thu, 2 Jan 2014 19:08:42 GMT",
"version": "v1"
}
] | 2016-09-27 | [
[
"Magli",
"Giulio",
""
]
] | [
-0.09486135095357895,
0.13252149522304535,
-0.0033844264689832926,
0.016614846885204315,
-0.12496644258499146,
-0.09609265625476837,
-0.08176098018884659,
-0.03860513120889664,
-0.0607515312731266,
0.006395951844751835,
-0.06329508125782013,
-0.10128085315227509,
-0.009349459782242775,
0.02110069803893566,
-0.02168404683470726,
-0.06079677864909172,
-0.05318272486329079,
0.04655012488365173,
-0.016114279627799988,
0.03488680720329285,
0.0863216295838356,
-0.05266205966472626,
-0.002722700359299779,
0.03685133159160614,
-0.0034499471075832844,
0.04521789774298668,
-0.04578531160950661,
0.052003175020217896,
0.07601963728666306,
-0.05144175887107849,
-0.05122455582022667,
0.04085961729288101,
0.029100682586431503,
-0.013667681254446507,
0.02908916585147381,
0.07662330567836761,
-0.022704703733325005,
0.011026605032384396,
0.036931272596120834,
-0.02921222150325775,
0.05021268129348755,
0.04895036295056343,
0.0307032261043787,
-0.015508311800658703,
0.01723095402121544,
0.02795039489865303,
0.047935906797647476,
-0.1105276346206665,
-0.03727266937494278,
-0.008174060843884945,
-0.016826042905449867,
-0.09700212627649307,
0.012112271972000599,
-0.06717373430728912,
-0.0027990583330392838,
-0.05102994292974472,
-0.022202517837285995,
-0.06461777538061142,
0.02958172932267189,
-0.033360712230205536,
0.1029369980096817,
0.03286796063184738,
-0.01380621176213026,
-0.007940517738461494,
0.007682300638407469,
-0.07912404835224152,
-0.008997143246233463,
-0.03562229499220848,
0.053933121263980865,
-0.0007708961493335664,
0.03975003585219383,
-0.0025612798053771257,
0.014197289943695068,
-0.004284897819161415,
0.02082938142120838,
-0.08731893450021744,
-0.04389966279268265,
0.005089765880256891,
-0.0979798212647438,
-0.08526983112096786,
0.08863188326358795,
-0.04874328151345253,
0.0019921250641345978,
-0.02169257588684559,
-0.041629817336797714,
0.01179150678217411,
-0.05356574058532715,
0.05066690966486931,
0.02166542410850525,
-0.10053624957799911,
0.10577290505170822,
-0.060461875051259995,
0.01626613177359104,
0.03198618069291115,
0.09341709315776825,
0.05046353489160538,
-0.07895755767822266,
0.02725524641573429,
0.04592755064368248,
0.008911454118788242,
0.011999418959021568,
-0.01692245341837406,
0.04207789897918701,
0.007363389246165752,
0.005117467604577541,
-0.003933894447982311,
-0.03750305622816086,
0.008818442933261395,
-0.0554654635488987,
0.028758492320775986,
-0.03991667553782463,
-0.06248928979039192,
0.040319934487342834,
0.03973907604813576,
-0.01351509615778923,
0.07314075529575348,
-0.000760566967073828,
0.0013262100983411074,
-0.019775111228227615,
-0.028235845267772675,
0.04291343316435814,
-0.07026690244674683,
0.0703314021229744,
0.044423069804906845,
-0.0695926621556282,
-0.01866624690592289,
-0.06713993102312088,
-8.040734926284655e-34,
0.002046385547146201,
-0.03944018483161926,
-0.02307077869772911,
-0.002084612613543868,
0.045953743159770966,
-0.07536429911851883,
-0.06372270733118057,
0.008469430729746819,
-0.015052498318254948,
-0.021432843059301376,
-0.013780228793621063,
0.05739560350775719,
-0.009626228362321854,
0.03484061732888222,
-0.05180957913398743,
0.025596527382731438,
-0.05188200995326042,
0.0012371629709377885,
-0.013759993016719818,
0.04131162911653519,
0.013790440745651722,
0.04181820526719093,
-0.0006837437977083027,
0.029907509684562683,
0.030489658936858177,
0.05578874424099922,
0.03420376777648926,
-0.009883605875074863,
-0.1339673101902008,
-0.000988552812486887,
0.04661285877227783,
-0.03984898328781128,
-0.0849689394235611,
0.001482664025388658,
-0.03783285990357399,
0.010923313908278942,
-0.002494563115760684,
-0.009306374005973339,
-0.06435699760913849,
0.024503326043486595,
0.02061881683766842,
-0.0118678854778409,
-0.047865964472293854,
-0.008673141710460186,
0.04493746533989906,
0.08666916936635971,
0.035581428557634354,
0.05154406651854515,
0.0723043903708458,
0.013374869711697102,
0.014682530425488949,
0.019985539838671684,
-0.07319045811891556,
0.005360315088182688,
0.025189684703946114,
0.06786825507879257,
-0.04245166853070259,
-0.03679545223712921,
0.058608174324035645,
0.04470551013946533,
0.015361675061285496,
-0.029578514397144318,
-0.05585450306534767,
0.12598061561584473,
-0.04531325027346611,
0.019822167232632637,
0.005738912615925074,
0.11381376534700394,
-0.0093173673376441,
0.0031404776964336634,
-0.08331853151321411,
-0.007627969142049551,
-0.045197438448667526,
0.0647059977054596,
-0.01511141937226057,
-0.04008233919739723,
-0.05406291410326958,
-0.02935866452753544,
-0.132445827126503,
0.07795970886945724,
0.031694088131189346,
-0.029881885275244713,
-0.014820610173046589,
-0.025724291801452637,
-0.0320504829287529,
0.04602588340640068,
0.11293232440948486,
0.049865320324897766,
-0.029707448557019234,
-0.03528309613466263,
-0.06441552191972733,
0.03820132464170456,
-0.011311031877994537,
-0.028334133327007294,
0.010507818311452866,
-3.0239410340620953e-33,
0.0038826484233140945,
-0.041492871940135956,
-0.030692072585225105,
-0.032235946506261826,
-0.018852965906262398,
0.02030954696238041,
0.0028634609188884497,
-0.06928998976945877,
-0.03537709265947342,
0.039729587733745575,
0.011239714920520782,
0.019456086680293083,
0.03623129054903984,
-0.0539541132748127,
0.07278021425008774,
-0.02493889629840851,
-0.022853009402751923,
-0.006119781639426947,
-0.07379638403654099,
0.004877609666436911,
-0.02050035633146763,
0.003170982003211975,
-0.11991258710622787,
-0.04928538203239441,
-0.020187843590974808,
0.0609411783516407,
-0.09543491899967194,
-0.044180162250995636,
-0.007207586895674467,
0.10268983989953995,
-0.05917993560433388,
-0.08332701772451401,
-0.013418345712125301,
-0.015334301628172398,
0.021008476614952087,
-0.009424637071788311,
0.04074716195464134,
-0.07663902640342712,
0.018981600180268288,
-0.007649073377251625,
0.05178701505064964,
0.15520165860652924,
0.021876033395528793,
-0.008326815441250801,
0.008321051485836506,
0.04994276165962219,
-0.022219838574528694,
0.075948067009449,
-0.05160895735025406,
-0.09667560458183289,
0.02306031621992588,
0.019893493503332138,
0.06427828967571259,
-0.12923969328403473,
0.07333756983280182,
0.027648750692605972,
-0.004216501023620367,
0.0934862568974495,
-0.007390563376247883,
0.03513193503022194,
0.004654121119529009,
-0.12404398620128632,
0.0235777348279953,
-0.050948288291692734,
-0.0002140886354027316,
0.002999957650899887,
0.02650519646704197,
0.0586913637816906,
-0.05646175518631935,
0.10539507865905762,
0.0004741504671983421,
0.003442921442911029,
-0.06587588787078857,
0.023530930280685425,
-0.014063207432627678,
0.04914640262722969,
-0.0393541194498539,
0.10154138505458832,
0.018888577818870544,
-0.01462768018245697,
0.02988792024552822,
-0.01922842115163803,
0.047178979963064194,
-0.04103508219122887,
0.11801278591156006,
0.0033841184340417385,
-0.061800990253686905,
0.050471581518650055,
0.06466848403215408,
-0.04833454266190529,
-0.01423430722206831,
-0.07039330899715424,
-0.0016566561535000801,
0.05522730201482773,
0.061695799231529236,
-4.234581041373531e-8,
0.053677748888731,
0.03436786308884621,
-0.006235430017113686,
-0.05424679443240166,
-0.035072099417448044,
-0.06765053421258926,
-0.045739393681287766,
0.0470343641936779,
-0.06133098527789116,
-0.05528753995895386,
-0.009255676530301571,
0.08010409027338028,
0.04422210529446602,
0.14104507863521576,
-0.03856390342116356,
-0.002014939673244953,
-0.008513282984495163,
-0.05182402580976486,
0.008964602835476398,
-0.03800079599022865,
0.08146876096725464,
-0.03528764471411705,
-0.017616305500268936,
-0.007984925992786884,
-0.04457622021436691,
0.07314059138298035,
0.024905601516366005,
-0.0018907100893557072,
-0.02172013744711876,
-0.02592502161860466,
0.03205954656004906,
-0.01435766275972128,
0.00315380422398448,
-0.035149283707141876,
0.00012393925862852484,
0.02888791449368,
-0.006303633563220501,
-0.030388860031962395,
0.025621322914958,
-0.07916943728923798,
0.05752087011933327,
-0.0878324881196022,
0.015544471330940723,
0.026236770674586296,
0.06236965209245682,
0.07199647277593613,
0.05520927906036377,
0.010201327502727509,
-0.048284828662872314,
-0.007669918704777956,
-0.0015215117018669844,
0.08758006989955902,
-0.006754916626960039,
0.03831349313259125,
0.031059252098202705,
-0.011008639819920063,
-0.06239963322877884,
0.03443555161356926,
0.04123524948954582,
-0.06125177815556526,
0.14555838704109192,
0.030101828277111053,
0.024006454274058342,
-0.0636802390217781
] | null | null | null | null | null | null | null | [
-0.09486135095357895,
0.13252149522304535,
-0.0033844264689832926,
0.016614846885204315,
-0.12496644258499146,
-0.09609265625476837,
-0.08176098018884659,
-0.03860513120889664,
-0.0607515312731266,
0.006395951844751835,
-0.06329508125782013,
-0.10128085315227509,
-0.009349459782242775,
0.02110069803893566,
-0.02168404683470726,
-0.06079677864909172,
-0.05318272486329079,
0.04655012488365173,
-0.016114279627799988,
0.03488680720329285,
0.0863216295838356,
-0.05266205966472626,
-0.002722700359299779,
0.03685133159160614,
-0.0034499471075832844,
0.04521789774298668,
-0.04578531160950661,
0.052003175020217896,
0.07601963728666306,
-0.05144175887107849,
-0.05122455582022667,
0.04085961729288101,
0.029100682586431503,
-0.013667681254446507,
0.02908916585147381,
0.07662330567836761,
-0.022704703733325005,
0.011026605032384396,
0.036931272596120834,
-0.02921222150325775,
0.05021268129348755,
0.04895036295056343,
0.0307032261043787,
-0.015508311800658703,
0.01723095402121544,
0.02795039489865303,
0.047935906797647476,
-0.1105276346206665,
-0.03727266937494278,
-0.008174060843884945,
-0.016826042905449867,
-0.09700212627649307,
0.012112271972000599,
-0.06717373430728912,
-0.0027990583330392838,
-0.05102994292974472,
-0.022202517837285995,
-0.06461777538061142,
0.02958172932267189,
-0.033360712230205536,
0.1029369980096817,
0.03286796063184738,
-0.01380621176213026,
-0.007940517738461494,
0.007682300638407469,
-0.07912404835224152,
-0.008997143246233463,
-0.03562229499220848,
0.053933121263980865,
-0.0007708961493335664,
0.03975003585219383,
-0.0025612798053771257,
0.014197289943695068,
-0.004284897819161415,
0.02082938142120838,
-0.08731893450021744,
-0.04389966279268265,
0.005089765880256891,
-0.0979798212647438,
-0.08526983112096786,
0.08863188326358795,
-0.04874328151345253,
0.0019921250641345978,
-0.02169257588684559,
-0.041629817336797714,
0.01179150678217411,
-0.05356574058532715,
0.05066690966486931,
0.02166542410850525,
-0.10053624957799911,
0.10577290505170822,
-0.060461875051259995,
0.01626613177359104,
0.03198618069291115,
0.09341709315776825,
0.05046353489160538,
-0.07895755767822266,
0.02725524641573429,
0.04592755064368248,
0.008911454118788242,
0.011999418959021568,
-0.01692245341837406,
0.04207789897918701,
0.007363389246165752,
0.005117467604577541,
-0.003933894447982311,
-0.03750305622816086,
0.008818442933261395,
-0.0554654635488987,
0.028758492320775986,
-0.03991667553782463,
-0.06248928979039192,
0.040319934487342834,
0.03973907604813576,
-0.01351509615778923,
0.07314075529575348,
-0.000760566967073828,
0.0013262100983411074,
-0.019775111228227615,
-0.028235845267772675,
0.04291343316435814,
-0.07026690244674683,
0.0703314021229744,
0.044423069804906845,
-0.0695926621556282,
-0.01866624690592289,
-0.06713993102312088,
-8.040734926284655e-34,
0.002046385547146201,
-0.03944018483161926,
-0.02307077869772911,
-0.002084612613543868,
0.045953743159770966,
-0.07536429911851883,
-0.06372270733118057,
0.008469430729746819,
-0.015052498318254948,
-0.021432843059301376,
-0.013780228793621063,
0.05739560350775719,
-0.009626228362321854,
0.03484061732888222,
-0.05180957913398743,
0.025596527382731438,
-0.05188200995326042,
0.0012371629709377885,
-0.013759993016719818,
0.04131162911653519,
0.013790440745651722,
0.04181820526719093,
-0.0006837437977083027,
0.029907509684562683,
0.030489658936858177,
0.05578874424099922,
0.03420376777648926,
-0.009883605875074863,
-0.1339673101902008,
-0.000988552812486887,
0.04661285877227783,
-0.03984898328781128,
-0.0849689394235611,
0.001482664025388658,
-0.03783285990357399,
0.010923313908278942,
-0.002494563115760684,
-0.009306374005973339,
-0.06435699760913849,
0.024503326043486595,
0.02061881683766842,
-0.0118678854778409,
-0.047865964472293854,
-0.008673141710460186,
0.04493746533989906,
0.08666916936635971,
0.035581428557634354,
0.05154406651854515,
0.0723043903708458,
0.013374869711697102,
0.014682530425488949,
0.019985539838671684,
-0.07319045811891556,
0.005360315088182688,
0.025189684703946114,
0.06786825507879257,
-0.04245166853070259,
-0.03679545223712921,
0.058608174324035645,
0.04470551013946533,
0.015361675061285496,
-0.029578514397144318,
-0.05585450306534767,
0.12598061561584473,
-0.04531325027346611,
0.019822167232632637,
0.005738912615925074,
0.11381376534700394,
-0.0093173673376441,
0.0031404776964336634,
-0.08331853151321411,
-0.007627969142049551,
-0.045197438448667526,
0.0647059977054596,
-0.01511141937226057,
-0.04008233919739723,
-0.05406291410326958,
-0.02935866452753544,
-0.132445827126503,
0.07795970886945724,
0.031694088131189346,
-0.029881885275244713,
-0.014820610173046589,
-0.025724291801452637,
-0.0320504829287529,
0.04602588340640068,
0.11293232440948486,
0.049865320324897766,
-0.029707448557019234,
-0.03528309613466263,
-0.06441552191972733,
0.03820132464170456,
-0.011311031877994537,
-0.028334133327007294,
0.010507818311452866,
-3.0239410340620953e-33,
0.0038826484233140945,
-0.041492871940135956,
-0.030692072585225105,
-0.032235946506261826,
-0.018852965906262398,
0.02030954696238041,
0.0028634609188884497,
-0.06928998976945877,
-0.03537709265947342,
0.039729587733745575,
0.011239714920520782,
0.019456086680293083,
0.03623129054903984,
-0.0539541132748127,
0.07278021425008774,
-0.02493889629840851,
-0.022853009402751923,
-0.006119781639426947,
-0.07379638403654099,
0.004877609666436911,
-0.02050035633146763,
0.003170982003211975,
-0.11991258710622787,
-0.04928538203239441,
-0.020187843590974808,
0.0609411783516407,
-0.09543491899967194,
-0.044180162250995636,
-0.007207586895674467,
0.10268983989953995,
-0.05917993560433388,
-0.08332701772451401,
-0.013418345712125301,
-0.015334301628172398,
0.021008476614952087,
-0.009424637071788311,
0.04074716195464134,
-0.07663902640342712,
0.018981600180268288,
-0.007649073377251625,
0.05178701505064964,
0.15520165860652924,
0.021876033395528793,
-0.008326815441250801,
0.008321051485836506,
0.04994276165962219,
-0.022219838574528694,
0.075948067009449,
-0.05160895735025406,
-0.09667560458183289,
0.02306031621992588,
0.019893493503332138,
0.06427828967571259,
-0.12923969328403473,
0.07333756983280182,
0.027648750692605972,
-0.004216501023620367,
0.0934862568974495,
-0.007390563376247883,
0.03513193503022194,
0.004654121119529009,
-0.12404398620128632,
0.0235777348279953,
-0.050948288291692734,
-0.0002140886354027316,
0.002999957650899887,
0.02650519646704197,
0.0586913637816906,
-0.05646175518631935,
0.10539507865905762,
0.0004741504671983421,
0.003442921442911029,
-0.06587588787078857,
0.023530930280685425,
-0.014063207432627678,
0.04914640262722969,
-0.0393541194498539,
0.10154138505458832,
0.018888577818870544,
-0.01462768018245697,
0.02988792024552822,
-0.01922842115163803,
0.047178979963064194,
-0.04103508219122887,
0.11801278591156006,
0.0033841184340417385,
-0.061800990253686905,
0.050471581518650055,
0.06466848403215408,
-0.04833454266190529,
-0.01423430722206831,
-0.07039330899715424,
-0.0016566561535000801,
0.05522730201482773,
0.061695799231529236,
-4.234581041373531e-8,
0.053677748888731,
0.03436786308884621,
-0.006235430017113686,
-0.05424679443240166,
-0.035072099417448044,
-0.06765053421258926,
-0.045739393681287766,
0.0470343641936779,
-0.06133098527789116,
-0.05528753995895386,
-0.009255676530301571,
0.08010409027338028,
0.04422210529446602,
0.14104507863521576,
-0.03856390342116356,
-0.002014939673244953,
-0.008513282984495163,
-0.05182402580976486,
0.008964602835476398,
-0.03800079599022865,
0.08146876096725464,
-0.03528764471411705,
-0.017616305500268936,
-0.007984925992786884,
-0.04457622021436691,
0.07314059138298035,
0.024905601516366005,
-0.0018907100893557072,
-0.02172013744711876,
-0.02592502161860466,
0.03205954656004906,
-0.01435766275972128,
0.00315380422398448,
-0.035149283707141876,
0.00012393925862852484,
0.02888791449368,
-0.006303633563220501,
-0.030388860031962395,
0.025621322914958,
-0.07916943728923798,
0.05752087011933327,
-0.0878324881196022,
0.015544471330940723,
0.026236770674586296,
0.06236965209245682,
0.07199647277593613,
0.05520927906036377,
0.010201327502727509,
-0.048284828662872314,
-0.007669918704777956,
-0.0015215117018669844,
0.08758006989955902,
-0.006754916626960039,
0.03831349313259125,
0.031059252098202705,
-0.011008639819920063,
-0.06239963322877884,
0.03443555161356926,
0.04123524948954582,
-0.06125177815556526,
0.14555838704109192,
0.030101828277111053,
0.024006454274058342,
-0.0636802390217781
] |
1401.0513 | Bernhard Mehlig | K. Gustavsson, S. Vajedi, and B. Mehlig | Clustering of particles falling in a turbulent flow | 5 pages, 3 figures, supplemental material | Phys. Rev. Lett. 112, 214501 (2014) | 10.1103/PhysRevLett.112.214501 | null | physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spatial clustering of identical particles falling through a turbulent flow
enhances the collision rate between the falling particles, an important problem
in aerosol science. We analyse this problem using perturbation theory in a
dimensionless parameter, the so-called Kubo number. This allows us to derive an
analytical theory quantifying the spatial clustering. We find that clustering
of small particles in incompressible random velocity fields may be reduced or
enhanced by the effect of gravity (depending on the Stokes number of the
particles) and may be strongly anisotropic.
| [
{
"created": "Thu, 2 Jan 2014 19:28:10 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Mar 2014 19:10:06 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Gustavsson",
"K.",
""
],
[
"Vajedi",
"S.",
""
],
[
"Mehlig",
"B.",
""
]
] | [
0.054858800023794174,
-0.0916144847869873,
0.05520704761147499,
0.04821794852614403,
0.03961171582341194,
0.054223522543907166,
0.05304889380931854,
-0.04437393322587013,
0.09476801753044128,
-0.07264495640993118,
-0.009341136552393436,
-0.04343763738870621,
-0.014018820598721504,
-0.02383391745388508,
-0.04059905558824539,
-0.004413681570440531,
-0.024067172780632973,
0.015209702774882317,
-0.0542663112282753,
-0.0030284090898931026,
-0.06610926240682602,
0.02238457091152668,
0.004101678263396025,
0.09142530709505081,
0.03862238675355911,
0.01720377616584301,
0.02011914923787117,
0.01132432371377945,
0.015578717924654484,
-0.01904423162341118,
0.08929825574159622,
0.04006235674023628,
-0.03523891791701317,
0.014150243252515793,
0.027754638344049454,
-0.056671686470508575,
0.05150984600186348,
0.09801159054040909,
-0.039413467049598694,
0.049680888652801514,
-0.06946223974227905,
0.02138029970228672,
0.04099346324801445,
0.02806500531733036,
0.06040608137845993,
0.0046362364664673805,
0.032034602016210556,
-0.00554986298084259,
0.002356739481911063,
-0.022398652508854866,
0.016666622832417488,
-0.041377320885658264,
-0.07604138553142548,
0.010946270078420639,
-0.03548275679349899,
-0.04024891555309296,
-0.020981714129447937,
-0.05360408499836922,
0.05160199850797653,
-0.06321727484464645,
0.06798873096704483,
0.0016409304225817323,
0.03555672988295555,
0.04072612524032593,
0.04112494736909866,
-0.016993429511785507,
0.056516241282224655,
0.09159443527460098,
0.04968143627047539,
0.01421323698014021,
0.012433401308953762,
0.078071229159832,
-0.058160606771707535,
0.09144169837236404,
-0.012442497536540031,
0.04556906968355179,
-0.13299278914928436,
0.03354369476437569,
0.050438519567251205,
0.015441099181771278,
0.03744955733418465,
-0.013184645213186741,
-0.03698885068297386,
-0.03872344270348549,
-0.10689641535282135,
0.002384399762377143,
-0.01594059355556965,
-0.024397622793912888,
0.0035432151053100824,
-0.10713162273168564,
-0.04638037085533142,
0.06358441710472107,
0.00382051314227283,
-0.024314498528838158,
-0.026940299198031425,
-0.036221764981746674,
-0.03064132109284401,
-0.02624584548175335,
0.09233960509300232,
0.018665539100766182,
-0.02065357007086277,
-0.06298396736383438,
0.0017742422642186284,
0.11601392179727554,
0.06372047960758209,
0.0085536427795887,
0.06061720848083496,
-0.05996841564774513,
0.0830608680844307,
0.07232074439525604,
-0.0008208579965867102,
0.009925506077706814,
-0.03159087523818016,
0.07034837454557419,
-0.01958267018198967,
-0.012998090125620365,
0.10849513113498688,
0.00483314273878932,
-0.027477245777845383,
-0.010363757610321045,
-0.0044602989219129086,
-0.011159125715494156,
-0.04686010256409645,
0.029612302780151367,
-0.009822383522987366,
0.018804775550961494,
-0.014428596012294292,
-6.013656907251527e-34,
0.1211547926068306,
-0.0626431256532669,
0.0491175502538681,
-0.013212554156780243,
0.01681624725461006,
-0.07226890325546265,
-0.020187143236398697,
-0.03408208116889,
0.012461626902222633,
-0.003172878874465823,
-0.1434040367603302,
0.004578295163810253,
0.03666001558303833,
-0.039610326290130615,
0.0006205828976817429,
-0.020554909482598305,
0.005052138585597277,
0.06691990792751312,
0.0010887945536524057,
-0.0872734785079956,
-0.03916035592556,
-0.01970675028860569,
-0.06373509019613266,
-0.0727873370051384,
-0.0791025459766388,
0.07921378314495087,
-0.01390006858855486,
-0.06901051849126816,
-0.011662229895591736,
0.01932775229215622,
0.021987540647387505,
0.054680634289979935,
-0.05953050032258034,
0.08733808994293213,
-0.030822308734059334,
0.01945931278169155,
-0.04268884286284447,
0.007117657922208309,
0.023873789235949516,
-0.024731429293751717,
-0.0688294768333435,
-0.07828450947999954,
-0.02112463302910328,
-0.10303813964128494,
0.06536131352186203,
0.014921169728040695,
0.02986305020749569,
-0.011318650096654892,
0.029125753790140152,
-0.024617191404104233,
-0.03057660534977913,
0.0077898697927594185,
0.01798904873430729,
0.11625312268733978,
0.08012937754392624,
-0.011387724429368973,
0.054616861045360565,
-0.028589220717549324,
-0.04011359438300133,
-0.00876016914844513,
-0.010980898514389992,
0.008638668805360794,
-0.055853575468063354,
-0.061021823436021805,
0.02984914742410183,
-0.05531027540564537,
0.04424101486802101,
0.11099053174257278,
0.03196113184094429,
0.0031032420229166746,
0.0025817328132689,
0.09240130335092545,
-0.06072162836790085,
0.002088800072669983,
-0.04162219911813736,
-0.01255460362881422,
0.03411436080932617,
0.042824361473321915,
-0.05238023400306702,
0.0698474571108818,
-0.09340973198413849,
-0.08905187249183655,
-0.057718370109796524,
-0.08150771260261536,
-0.0667763277888298,
0.04014561325311661,
0.05667200684547424,
-0.02310655452311039,
-0.07146831601858139,
-0.06776347756385803,
0.019198590889573097,
0.004613733384758234,
0.06510954350233078,
0.03420862555503845,
-0.018173685297369957,
-2.499876265106749e-33,
-0.033080071210861206,
0.005677177105098963,
-0.01820179633796215,
0.03199842944741249,
0.03543613478541374,
0.08723131567239761,
-0.018520304933190346,
0.048870205879211426,
-0.027097191661596298,
-0.08125686645507812,
-0.11209678649902344,
0.046761419624090195,
0.00870539341121912,
-0.007585379295051098,
0.07910071313381195,
0.036443665623664856,
-0.0003354984219186008,
0.002050676615908742,
0.012625320814549923,
-0.05157478526234627,
-0.02614901214838028,
-0.07184746116399765,
0.06091823801398277,
-0.02900090254843235,
-0.010987929999828339,
-0.033397264778614044,
0.09391093254089355,
-0.05766439065337181,
-0.01580931432545185,
0.04806031659245491,
0.051263682544231415,
-0.0037099604960530996,
-0.02425793930888176,
0.00829386804252863,
-0.05044262483716011,
-0.039275240153074265,
0.014989577233791351,
-0.006768874358385801,
0.017958369106054306,
-0.11409206688404083,
-0.057133764028549194,
0.07733628898859024,
-0.012509972788393497,
-0.03423440828919411,
0.06794525682926178,
-0.020328592509031296,
0.020174650475382805,
-0.025936054065823555,
0.041101355105638504,
-0.07498711347579956,
-0.0571659617125988,
-0.0014594197273254395,
-0.05234000086784363,
0.07634152472019196,
-0.01588357239961624,
0.12391766160726547,
0.03371752053499222,
0.016450760886073112,
0.020834386348724365,
-0.03515803813934326,
-0.08525922894477844,
-0.09415766596794128,
0.03220216929912567,
0.034312654286623,
-0.03827013820409775,
-0.04935407638549805,
-0.04489479213953018,
0.032721806317567825,
-0.028158998116850853,
0.06696086376905441,
0.0018428120529279113,
-0.0005205757915973663,
0.016253812238574028,
0.05483190715312958,
-0.02896408550441265,
-0.04106642305850983,
0.13070154190063477,
-0.010207644663751125,
-0.04081515967845917,
0.006953972391784191,
0.005227846093475819,
0.07158029079437256,
0.02623392641544342,
-0.03804691135883331,
0.026926422491669655,
-0.04152895137667656,
-0.023474225774407387,
-0.030556567013263702,
0.04997168481349945,
0.0737943947315216,
0.0020196549594402313,
0.024082928895950317,
0.07392092794179916,
-0.08147607743740082,
-0.057465776801109314,
-3.958543715043561e-8,
0.04402319714426994,
-0.07530834525823593,
-0.037841372191905975,
0.002224051160737872,
-0.015932081267237663,
0.09610417485237122,
-0.09869623929262161,
0.10151905566453934,
-0.03687199950218201,
-0.03332813084125519,
0.06594635546207428,
-0.011750168167054653,
-0.020462896674871445,
0.0737486183643341,
-0.029433971270918846,
-0.007704494521021843,
-0.05103679001331329,
-0.015175146982073784,
-0.010502280667424202,
0.001002444769255817,
-0.03102736920118332,
0.03794996440410614,
0.013238910585641861,
0.020609108731150627,
0.016840025782585144,
0.026599839329719543,
-0.011169297620654106,
-0.025813814252614975,
-0.007886609062552452,
-0.029876451939344406,
-0.0648740753531456,
0.028549065813422203,
-0.01683850958943367,
0.014701075851917267,
-0.030303772538900375,
0.09087509661912918,
0.02880643494427204,
0.06857217103242874,
-0.0528084821999073,
-0.04121542349457741,
-0.015914570540189743,
-0.0006402352009899914,
0.0222951490432024,
-0.036738071590662,
0.1467086374759674,
0.10944586247205734,
-0.04614877328276634,
-0.025163324549794197,
-0.02709069661796093,
0.011525713838636875,
-0.03568195179104805,
0.053450558334589005,
-0.022850094363093376,
0.038419853895902634,
-0.008101281709969044,
-0.0012898066779598594,
-0.18152731657028198,
-0.042252443730831146,
0.08173822611570358,
-0.07234378904104233,
-0.023143088445067406,
0.009941819123923779,
-0.0545492097735405,
-0.017953354865312576
] | null | null | null | null | null | null | null | [
0.054858800023794174,
-0.0916144847869873,
0.05520704761147499,
0.04821794852614403,
0.03961171582341194,
0.054223522543907166,
0.05304889380931854,
-0.04437393322587013,
0.09476801753044128,
-0.07264495640993118,
-0.009341136552393436,
-0.04343763738870621,
-0.014018820598721504,
-0.02383391745388508,
-0.04059905558824539,
-0.004413681570440531,
-0.024067172780632973,
0.015209702774882317,
-0.0542663112282753,
-0.0030284090898931026,
-0.06610926240682602,
0.02238457091152668,
0.004101678263396025,
0.09142530709505081,
0.03862238675355911,
0.01720377616584301,
0.02011914923787117,
0.01132432371377945,
0.015578717924654484,
-0.01904423162341118,
0.08929825574159622,
0.04006235674023628,
-0.03523891791701317,
0.014150243252515793,
0.027754638344049454,
-0.056671686470508575,
0.05150984600186348,
0.09801159054040909,
-0.039413467049598694,
0.049680888652801514,
-0.06946223974227905,
0.02138029970228672,
0.04099346324801445,
0.02806500531733036,
0.06040608137845993,
0.0046362364664673805,
0.032034602016210556,
-0.00554986298084259,
0.002356739481911063,
-0.022398652508854866,
0.016666622832417488,
-0.041377320885658264,
-0.07604138553142548,
0.010946270078420639,
-0.03548275679349899,
-0.04024891555309296,
-0.020981714129447937,
-0.05360408499836922,
0.05160199850797653,
-0.06321727484464645,
0.06798873096704483,
0.0016409304225817323,
0.03555672988295555,
0.04072612524032593,
0.04112494736909866,
-0.016993429511785507,
0.056516241282224655,
0.09159443527460098,
0.04968143627047539,
0.01421323698014021,
0.012433401308953762,
0.078071229159832,
-0.058160606771707535,
0.09144169837236404,
-0.012442497536540031,
0.04556906968355179,
-0.13299278914928436,
0.03354369476437569,
0.050438519567251205,
0.015441099181771278,
0.03744955733418465,
-0.013184645213186741,
-0.03698885068297386,
-0.03872344270348549,
-0.10689641535282135,
0.002384399762377143,
-0.01594059355556965,
-0.024397622793912888,
0.0035432151053100824,
-0.10713162273168564,
-0.04638037085533142,
0.06358441710472107,
0.00382051314227283,
-0.024314498528838158,
-0.026940299198031425,
-0.036221764981746674,
-0.03064132109284401,
-0.02624584548175335,
0.09233960509300232,
0.018665539100766182,
-0.02065357007086277,
-0.06298396736383438,
0.0017742422642186284,
0.11601392179727554,
0.06372047960758209,
0.0085536427795887,
0.06061720848083496,
-0.05996841564774513,
0.0830608680844307,
0.07232074439525604,
-0.0008208579965867102,
0.009925506077706814,
-0.03159087523818016,
0.07034837454557419,
-0.01958267018198967,
-0.012998090125620365,
0.10849513113498688,
0.00483314273878932,
-0.027477245777845383,
-0.010363757610321045,
-0.0044602989219129086,
-0.011159125715494156,
-0.04686010256409645,
0.029612302780151367,
-0.009822383522987366,
0.018804775550961494,
-0.014428596012294292,
-6.013656907251527e-34,
0.1211547926068306,
-0.0626431256532669,
0.0491175502538681,
-0.013212554156780243,
0.01681624725461006,
-0.07226890325546265,
-0.020187143236398697,
-0.03408208116889,
0.012461626902222633,
-0.003172878874465823,
-0.1434040367603302,
0.004578295163810253,
0.03666001558303833,
-0.039610326290130615,
0.0006205828976817429,
-0.020554909482598305,
0.005052138585597277,
0.06691990792751312,
0.0010887945536524057,
-0.0872734785079956,
-0.03916035592556,
-0.01970675028860569,
-0.06373509019613266,
-0.0727873370051384,
-0.0791025459766388,
0.07921378314495087,
-0.01390006858855486,
-0.06901051849126816,
-0.011662229895591736,
0.01932775229215622,
0.021987540647387505,
0.054680634289979935,
-0.05953050032258034,
0.08733808994293213,
-0.030822308734059334,
0.01945931278169155,
-0.04268884286284447,
0.007117657922208309,
0.023873789235949516,
-0.024731429293751717,
-0.0688294768333435,
-0.07828450947999954,
-0.02112463302910328,
-0.10303813964128494,
0.06536131352186203,
0.014921169728040695,
0.02986305020749569,
-0.011318650096654892,
0.029125753790140152,
-0.024617191404104233,
-0.03057660534977913,
0.0077898697927594185,
0.01798904873430729,
0.11625312268733978,
0.08012937754392624,
-0.011387724429368973,
0.054616861045360565,
-0.028589220717549324,
-0.04011359438300133,
-0.00876016914844513,
-0.010980898514389992,
0.008638668805360794,
-0.055853575468063354,
-0.061021823436021805,
0.02984914742410183,
-0.05531027540564537,
0.04424101486802101,
0.11099053174257278,
0.03196113184094429,
0.0031032420229166746,
0.0025817328132689,
0.09240130335092545,
-0.06072162836790085,
0.002088800072669983,
-0.04162219911813736,
-0.01255460362881422,
0.03411436080932617,
0.042824361473321915,
-0.05238023400306702,
0.0698474571108818,
-0.09340973198413849,
-0.08905187249183655,
-0.057718370109796524,
-0.08150771260261536,
-0.0667763277888298,
0.04014561325311661,
0.05667200684547424,
-0.02310655452311039,
-0.07146831601858139,
-0.06776347756385803,
0.019198590889573097,
0.004613733384758234,
0.06510954350233078,
0.03420862555503845,
-0.018173685297369957,
-2.499876265106749e-33,
-0.033080071210861206,
0.005677177105098963,
-0.01820179633796215,
0.03199842944741249,
0.03543613478541374,
0.08723131567239761,
-0.018520304933190346,
0.048870205879211426,
-0.027097191661596298,
-0.08125686645507812,
-0.11209678649902344,
0.046761419624090195,
0.00870539341121912,
-0.007585379295051098,
0.07910071313381195,
0.036443665623664856,
-0.0003354984219186008,
0.002050676615908742,
0.012625320814549923,
-0.05157478526234627,
-0.02614901214838028,
-0.07184746116399765,
0.06091823801398277,
-0.02900090254843235,
-0.010987929999828339,
-0.033397264778614044,
0.09391093254089355,
-0.05766439065337181,
-0.01580931432545185,
0.04806031659245491,
0.051263682544231415,
-0.0037099604960530996,
-0.02425793930888176,
0.00829386804252863,
-0.05044262483716011,
-0.039275240153074265,
0.014989577233791351,
-0.006768874358385801,
0.017958369106054306,
-0.11409206688404083,
-0.057133764028549194,
0.07733628898859024,
-0.012509972788393497,
-0.03423440828919411,
0.06794525682926178,
-0.020328592509031296,
0.020174650475382805,
-0.025936054065823555,
0.041101355105638504,
-0.07498711347579956,
-0.0571659617125988,
-0.0014594197273254395,
-0.05234000086784363,
0.07634152472019196,
-0.01588357239961624,
0.12391766160726547,
0.03371752053499222,
0.016450760886073112,
0.020834386348724365,
-0.03515803813934326,
-0.08525922894477844,
-0.09415766596794128,
0.03220216929912567,
0.034312654286623,
-0.03827013820409775,
-0.04935407638549805,
-0.04489479213953018,
0.032721806317567825,
-0.028158998116850853,
0.06696086376905441,
0.0018428120529279113,
-0.0005205757915973663,
0.016253812238574028,
0.05483190715312958,
-0.02896408550441265,
-0.04106642305850983,
0.13070154190063477,
-0.010207644663751125,
-0.04081515967845917,
0.006953972391784191,
0.005227846093475819,
0.07158029079437256,
0.02623392641544342,
-0.03804691135883331,
0.026926422491669655,
-0.04152895137667656,
-0.023474225774407387,
-0.030556567013263702,
0.04997168481349945,
0.0737943947315216,
0.0020196549594402313,
0.024082928895950317,
0.07392092794179916,
-0.08147607743740082,
-0.057465776801109314,
-3.958543715043561e-8,
0.04402319714426994,
-0.07530834525823593,
-0.037841372191905975,
0.002224051160737872,
-0.015932081267237663,
0.09610417485237122,
-0.09869623929262161,
0.10151905566453934,
-0.03687199950218201,
-0.03332813084125519,
0.06594635546207428,
-0.011750168167054653,
-0.020462896674871445,
0.0737486183643341,
-0.029433971270918846,
-0.007704494521021843,
-0.05103679001331329,
-0.015175146982073784,
-0.010502280667424202,
0.001002444769255817,
-0.03102736920118332,
0.03794996440410614,
0.013238910585641861,
0.020609108731150627,
0.016840025782585144,
0.026599839329719543,
-0.011169297620654106,
-0.025813814252614975,
-0.007886609062552452,
-0.029876451939344406,
-0.0648740753531456,
0.028549065813422203,
-0.01683850958943367,
0.014701075851917267,
-0.030303772538900375,
0.09087509661912918,
0.02880643494427204,
0.06857217103242874,
-0.0528084821999073,
-0.04121542349457741,
-0.015914570540189743,
-0.0006402352009899914,
0.0222951490432024,
-0.036738071590662,
0.1467086374759674,
0.10944586247205734,
-0.04614877328276634,
-0.025163324549794197,
-0.02709069661796093,
0.011525713838636875,
-0.03568195179104805,
0.053450558334589005,
-0.022850094363093376,
0.038419853895902634,
-0.008101281709969044,
-0.0012898066779598594,
-0.18152731657028198,
-0.042252443730831146,
0.08173822611570358,
-0.07234378904104233,
-0.023143088445067406,
0.009941819123923779,
-0.0545492097735405,
-0.017953354865312576
] |
1401.0514 | Chris J. Maddison | Chris J. Maddison and Daniel Tarlow | Structured Generative Models of Natural Source Code | null | null | null | null | cs.PL cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the problem of building generative models of natural source code
(NSC); that is, source code written and understood by humans. Our primary
contribution is to describe a family of generative models for NSC that have
three key properties: First, they incorporate both sequential and hierarchical
structure. Second, we learn a distributed representation of source code
elements. Finally, they integrate closely with a compiler, which allows
leveraging compiler logic and abstractions when building structure into the
model. We also develop an extension that includes more complex structure,
refining how the model generates identifier tokens based on what variables are
currently in scope. Our models can be learned efficiently, and we show
empirically that including appropriate structure greatly improves the models,
measured by the probability of generating test programs.
| [
{
"created": "Thu, 2 Jan 2014 19:35:31 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jun 2014 08:12:20 GMT",
"version": "v2"
}
] | 2014-06-23 | [
[
"Maddison",
"Chris J.",
""
],
[
"Tarlow",
"Daniel",
""
]
] | [
-0.09610521048307419,
-0.057874903082847595,
0.029873529449105263,
0.059415388852357864,
0.03169270604848862,
-0.03774222731590271,
-0.06181761622428894,
0.013011327013373375,
0.007727343589067459,
0.02407267317175865,
-0.06316664069890976,
-0.10644152760505676,
0.07297154515981674,
-0.0749933272600174,
0.025236353278160095,
0.007071239408105612,
-0.0007883103680796921,
0.04655734822154045,
-0.010762061923742294,
-0.09651226550340652,
-0.04663943871855736,
0.09325052797794342,
-0.0332140251994133,
0.021787559613585472,
0.06638069450855255,
0.03516354411840439,
0.012190500274300575,
-0.020829785615205765,
0.11619923263788223,
-0.006645516958087683,
0.0393894724547863,
0.039284802973270416,
0.015619322657585144,
0.10115920752286911,
0.036564700305461884,
0.07619157433509827,
-0.013385117053985596,
0.0037327208556234837,
0.025996467098593712,
-0.03136739134788513,
-0.08457472175359726,
0.07928398996591568,
0.06359118223190308,
-0.026188593357801437,
0.02908719889819622,
-0.07103624194860458,
-0.04261356592178345,
-0.01508659590035677,
-0.05819433182477951,
-0.05107668787240982,
-0.06408049911260605,
-0.019021259620785713,
-0.07209198921918869,
-0.029800890013575554,
0.024300863966345787,
-0.04888680577278137,
0.07279548048973083,
-0.09399840235710144,
-0.020191732794046402,
-0.00028556521283462644,
-0.005685381591320038,
-0.024402959272265434,
-0.07594673335552216,
-0.0208200104534626,
0.03379889950156212,
-0.02041753940284252,
-0.021894855424761772,
0.10103313624858856,
0.03813857212662697,
-0.0668131485581398,
-0.06090410798788071,
0.03211168572306633,
-0.031963199377059937,
0.07700873911380768,
0.02201635204255581,
0.025877945125102997,
0.04392353817820549,
0.022142430767416954,
0.03354091942310333,
-0.12737804651260376,
0.0016949757700785995,
0.05638439953327179,
0.03917837142944336,
0.07472064346075058,
0.07214583456516266,
0.022639239206910133,
0.17391614615917206,
0.12698215246200562,
0.054920744150877,
0.07855413854122162,
-0.021368838846683502,
-0.014632275328040123,
0.08544834703207016,
-0.001420133630745113,
0.04663373902440071,
0.04604800418019295,
0.06233585253357887,
-0.10447186231613159,
0.04868154227733612,
0.0505017451941967,
-0.03184309974312782,
0.07997003942728043,
0.0731179490685463,
-0.1309521496295929,
0.03692841902375221,
-0.01493244618177414,
0.10082527995109558,
-0.01840086281299591,
0.048425305634737015,
0.007058839313685894,
0.014269891194999218,
0.0820096954703331,
-0.06699088215827942,
-0.05676984786987305,
-0.016649091616272926,
-0.037701331079006195,
-0.020554115995764732,
0.009915539994835854,
-0.05617707595229149,
0.0061875926330685616,
0.018163705244660378,
0.05979212000966072,
-0.01907157711684704,
0.03725982829928398,
-0.046185605227947235,
-0.061594001948833466,
-0.03985201567411423,
-6.08478900915566e-34,
0.03712968900799751,
0.0049871522933244705,
-0.04737881198525429,
0.12342384457588196,
0.1166837066411972,
-0.005831456743180752,
0.053583983331918716,
0.07965794950723648,
-0.040449291467666626,
-0.03954770416021347,
0.012091872282326221,
0.004360026214271784,
-0.0813264399766922,
0.11255737394094467,
0.019956884905695915,
0.036851488053798676,
-0.05577241629362106,
0.05079837515950203,
-0.04803939908742905,
-0.05405087396502495,
-0.025673069059848785,
-0.07013461738824844,
-0.029421938583254814,
0.014948461204767227,
-0.020908234640955925,
0.04064243659377098,
0.02320374920964241,
-0.04806928336620331,
-0.0818038284778595,
-0.0010995730990543962,
-0.07622581720352173,
-0.05767365172505379,
0.047677114605903625,
0.039481598883867264,
0.013682897202670574,
0.011572041548788548,
-0.011216430924832821,
-0.013055797666311264,
0.01751530170440674,
0.07161752879619598,
-0.03270282596349716,
0.004921067506074905,
-0.023897601291537285,
0.03007175400853157,
-0.02028404176235199,
-0.04301769658923149,
-0.05601557344198227,
-0.019673362374305725,
0.002107239793986082,
-0.06863664835691452,
0.062066059559583664,
0.06158723682165146,
0.033416613936424255,
0.022134123370051384,
-0.011102591641247272,
0.007984423078596592,
-0.034633371978998184,
-0.04220826178789139,
0.040425509214401245,
0.08309505134820938,
-0.05685235932469368,
0.0874759778380394,
-0.01281542144715786,
0.026748593896627426,
0.010895810090005398,
0.0006246317061595619,
-0.0434575080871582,
-0.003092076163738966,
0.10228205472230911,
0.08814897388219833,
-0.029520081356167793,
0.04477793350815773,
-0.110538549721241,
-0.009976430796086788,
0.005406762473285198,
-0.04680400341749191,
-0.006013418547809124,
-0.051088884472846985,
-0.023235861212015152,
0.017773708328604698,
-0.05496546998620033,
0.03640397638082504,
0.007078724913299084,
0.0005608914070762694,
0.029747573658823967,
-0.06532536447048187,
-0.05056903883814812,
0.010132643394172192,
-0.09047041088342667,
-0.041941966861486435,
-0.02943621575832367,
-0.09109868854284286,
0.001497218501754105,
-0.06793010979890823,
0.017810164019465446,
-1.7109123748256617e-33,
-0.06463488936424255,
0.03236011415719986,
-0.017555970698595047,
-0.015820808708667755,
-0.0910445973277092,
-0.11619000881910324,
-0.07938138395547867,
0.018856992945075035,
-0.0705762729048729,
0.028050383552908897,
-0.009627806954085827,
-0.03233518451452255,
0.02865956723690033,
-0.0028794524259865284,
0.041708994656801224,
-0.056673984974622726,
0.008520197123289108,
-0.03997470811009407,
-0.012172585353255272,
0.0394207239151001,
0.025379138067364693,
0.08599065989255905,
-0.052396029233932495,
-0.07129745930433273,
0.003369270358234644,
0.03618301451206207,
-0.06638317555189133,
0.09918688237667084,
0.05969676375389099,
0.0022791337687522173,
0.02474140375852585,
0.05701263248920441,
-0.05873306840658188,
-0.06847290694713593,
-0.06975141167640686,
0.010713105089962482,
0.039736922830343246,
0.033955853432416916,
-0.028457654640078545,
0.08135318756103516,
0.06303826719522476,
0.011748316697776318,
-0.019558779895305634,
0.03699406608939171,
0.02348831668496132,
0.02402670495212078,
0.0022062386851757765,
0.04686969891190529,
0.024996653199195862,
-0.010220099240541458,
0.02341846376657486,
-0.007792509160935879,
-0.05408576503396034,
-0.024644766002893448,
-0.017525814473628998,
-0.05326375737786293,
-0.030201589688658714,
-0.03149041533470154,
0.05372975766658783,
-0.015564029105007648,
-0.044808369129896164,
-0.08543659001588821,
0.08143883943557739,
-0.04350954294204712,
-0.03740442171692848,
-0.07333946973085403,
-0.05749274790287018,
0.0178928691893816,
-0.005918692797422409,
-0.0033884106669574976,
0.06504696607589722,
0.006101712118834257,
-0.04906657338142395,
0.03378218784928322,
-0.040274281054735184,
-0.006579878740012646,
0.03898448497056961,
0.007657857146114111,
0.0212795902043581,
-0.05041052773594856,
0.033102333545684814,
0.017104538157582283,
0.07704277336597443,
-0.0013183550909161568,
0.012017968110740185,
0.029682695865631104,
0.07239151000976562,
0.03527064993977547,
0.021987900137901306,
0.07110971957445145,
-0.05647649988532066,
0.09723399579524994,
0.004017964471131563,
0.03428124263882637,
-0.04281333461403847,
-3.873671516885224e-8,
-0.03981829434633255,
0.025324134156107903,
-0.02059914357960224,
0.04187343642115593,
0.04421692341566086,
0.08383435010910034,
-0.0840643048286438,
0.03812021762132645,
0.01577858068048954,
-0.044345755130052567,
0.02527172863483429,
0.04638887196779251,
-0.06661529093980789,
-0.004755338188260794,
0.015929793938994408,
0.018351934850215912,
-0.0437387079000473,
-0.007332201115787029,
-0.029149718582630157,
-0.03091365285217762,
0.030330901965498924,
0.06594385206699371,
0.009855702519416809,
0.026172256097197533,
-0.027851669117808342,
-0.070004902780056,
0.07407872378826141,
0.015580433420836926,
-0.018330279737710953,
0.024366863071918488,
0.072758749127388,
0.07502318918704987,
-0.07095742225646973,
-0.018158992752432823,
0.03212736174464226,
0.0535682737827301,
0.05392102152109146,
-0.06803850084543228,
0.01824994571506977,
-0.0773552805185318,
0.00019555735343601555,
-0.0029683958273380995,
-0.07220905274152756,
0.005275778006762266,
-0.007119421847164631,
-0.08040261268615723,
0.006306538823992014,
-0.05384169518947601,
0.0086448909714818,
-0.03221413120627403,
-0.04235804080963135,
-0.07227779179811478,
-0.037405870854854584,
-0.025202518329024315,
-0.005930221639573574,
0.014021624810993671,
-0.09612983465194702,
-0.048734746873378754,
0.008890632539987564,
-0.012101354077458382,
-0.03761628270149231,
0.046697914600372314,
0.060163598507642746,
0.025264156982302666
] | null | null | null | null | null | null | null | [
-0.09610521048307419,
-0.057874903082847595,
0.029873529449105263,
0.059415388852357864,
0.03169270604848862,
-0.03774222731590271,
-0.06181761622428894,
0.013011327013373375,
0.007727343589067459,
0.02407267317175865,
-0.06316664069890976,
-0.10644152760505676,
0.07297154515981674,
-0.0749933272600174,
0.025236353278160095,
0.007071239408105612,
-0.0007883103680796921,
0.04655734822154045,
-0.010762061923742294,
-0.09651226550340652,
-0.04663943871855736,
0.09325052797794342,
-0.0332140251994133,
0.021787559613585472,
0.06638069450855255,
0.03516354411840439,
0.012190500274300575,
-0.020829785615205765,
0.11619923263788223,
-0.006645516958087683,
0.0393894724547863,
0.039284802973270416,
0.015619322657585144,
0.10115920752286911,
0.036564700305461884,
0.07619157433509827,
-0.013385117053985596,
0.0037327208556234837,
0.025996467098593712,
-0.03136739134788513,
-0.08457472175359726,
0.07928398996591568,
0.06359118223190308,
-0.026188593357801437,
0.02908719889819622,
-0.07103624194860458,
-0.04261356592178345,
-0.01508659590035677,
-0.05819433182477951,
-0.05107668787240982,
-0.06408049911260605,
-0.019021259620785713,
-0.07209198921918869,
-0.029800890013575554,
0.024300863966345787,
-0.04888680577278137,
0.07279548048973083,
-0.09399840235710144,
-0.020191732794046402,
-0.00028556521283462644,
-0.005685381591320038,
-0.024402959272265434,
-0.07594673335552216,
-0.0208200104534626,
0.03379889950156212,
-0.02041753940284252,
-0.021894855424761772,
0.10103313624858856,
0.03813857212662697,
-0.0668131485581398,
-0.06090410798788071,
0.03211168572306633,
-0.031963199377059937,
0.07700873911380768,
0.02201635204255581,
0.025877945125102997,
0.04392353817820549,
0.022142430767416954,
0.03354091942310333,
-0.12737804651260376,
0.0016949757700785995,
0.05638439953327179,
0.03917837142944336,
0.07472064346075058,
0.07214583456516266,
0.022639239206910133,
0.17391614615917206,
0.12698215246200562,
0.054920744150877,
0.07855413854122162,
-0.021368838846683502,
-0.014632275328040123,
0.08544834703207016,
-0.001420133630745113,
0.04663373902440071,
0.04604800418019295,
0.06233585253357887,
-0.10447186231613159,
0.04868154227733612,
0.0505017451941967,
-0.03184309974312782,
0.07997003942728043,
0.0731179490685463,
-0.1309521496295929,
0.03692841902375221,
-0.01493244618177414,
0.10082527995109558,
-0.01840086281299591,
0.048425305634737015,
0.007058839313685894,
0.014269891194999218,
0.0820096954703331,
-0.06699088215827942,
-0.05676984786987305,
-0.016649091616272926,
-0.037701331079006195,
-0.020554115995764732,
0.009915539994835854,
-0.05617707595229149,
0.0061875926330685616,
0.018163705244660378,
0.05979212000966072,
-0.01907157711684704,
0.03725982829928398,
-0.046185605227947235,
-0.061594001948833466,
-0.03985201567411423,
-6.08478900915566e-34,
0.03712968900799751,
0.0049871522933244705,
-0.04737881198525429,
0.12342384457588196,
0.1166837066411972,
-0.005831456743180752,
0.053583983331918716,
0.07965794950723648,
-0.040449291467666626,
-0.03954770416021347,
0.012091872282326221,
0.004360026214271784,
-0.0813264399766922,
0.11255737394094467,
0.019956884905695915,
0.036851488053798676,
-0.05577241629362106,
0.05079837515950203,
-0.04803939908742905,
-0.05405087396502495,
-0.025673069059848785,
-0.07013461738824844,
-0.029421938583254814,
0.014948461204767227,
-0.020908234640955925,
0.04064243659377098,
0.02320374920964241,
-0.04806928336620331,
-0.0818038284778595,
-0.0010995730990543962,
-0.07622581720352173,
-0.05767365172505379,
0.047677114605903625,
0.039481598883867264,
0.013682897202670574,
0.011572041548788548,
-0.011216430924832821,
-0.013055797666311264,
0.01751530170440674,
0.07161752879619598,
-0.03270282596349716,
0.004921067506074905,
-0.023897601291537285,
0.03007175400853157,
-0.02028404176235199,
-0.04301769658923149,
-0.05601557344198227,
-0.019673362374305725,
0.002107239793986082,
-0.06863664835691452,
0.062066059559583664,
0.06158723682165146,
0.033416613936424255,
0.022134123370051384,
-0.011102591641247272,
0.007984423078596592,
-0.034633371978998184,
-0.04220826178789139,
0.040425509214401245,
0.08309505134820938,
-0.05685235932469368,
0.0874759778380394,
-0.01281542144715786,
0.026748593896627426,
0.010895810090005398,
0.0006246317061595619,
-0.0434575080871582,
-0.003092076163738966,
0.10228205472230911,
0.08814897388219833,
-0.029520081356167793,
0.04477793350815773,
-0.110538549721241,
-0.009976430796086788,
0.005406762473285198,
-0.04680400341749191,
-0.006013418547809124,
-0.051088884472846985,
-0.023235861212015152,
0.017773708328604698,
-0.05496546998620033,
0.03640397638082504,
0.007078724913299084,
0.0005608914070762694,
0.029747573658823967,
-0.06532536447048187,
-0.05056903883814812,
0.010132643394172192,
-0.09047041088342667,
-0.041941966861486435,
-0.02943621575832367,
-0.09109868854284286,
0.001497218501754105,
-0.06793010979890823,
0.017810164019465446,
-1.7109123748256617e-33,
-0.06463488936424255,
0.03236011415719986,
-0.017555970698595047,
-0.015820808708667755,
-0.0910445973277092,
-0.11619000881910324,
-0.07938138395547867,
0.018856992945075035,
-0.0705762729048729,
0.028050383552908897,
-0.009627806954085827,
-0.03233518451452255,
0.02865956723690033,
-0.0028794524259865284,
0.041708994656801224,
-0.056673984974622726,
0.008520197123289108,
-0.03997470811009407,
-0.012172585353255272,
0.0394207239151001,
0.025379138067364693,
0.08599065989255905,
-0.052396029233932495,
-0.07129745930433273,
0.003369270358234644,
0.03618301451206207,
-0.06638317555189133,
0.09918688237667084,
0.05969676375389099,
0.0022791337687522173,
0.02474140375852585,
0.05701263248920441,
-0.05873306840658188,
-0.06847290694713593,
-0.06975141167640686,
0.010713105089962482,
0.039736922830343246,
0.033955853432416916,
-0.028457654640078545,
0.08135318756103516,
0.06303826719522476,
0.011748316697776318,
-0.019558779895305634,
0.03699406608939171,
0.02348831668496132,
0.02402670495212078,
0.0022062386851757765,
0.04686969891190529,
0.024996653199195862,
-0.010220099240541458,
0.02341846376657486,
-0.007792509160935879,
-0.05408576503396034,
-0.024644766002893448,
-0.017525814473628998,
-0.05326375737786293,
-0.030201589688658714,
-0.03149041533470154,
0.05372975766658783,
-0.015564029105007648,
-0.044808369129896164,
-0.08543659001588821,
0.08143883943557739,
-0.04350954294204712,
-0.03740442171692848,
-0.07333946973085403,
-0.05749274790287018,
0.0178928691893816,
-0.005918692797422409,
-0.0033884106669574976,
0.06504696607589722,
0.006101712118834257,
-0.04906657338142395,
0.03378218784928322,
-0.040274281054735184,
-0.006579878740012646,
0.03898448497056961,
0.007657857146114111,
0.0212795902043581,
-0.05041052773594856,
0.033102333545684814,
0.017104538157582283,
0.07704277336597443,
-0.0013183550909161568,
0.012017968110740185,
0.029682695865631104,
0.07239151000976562,
0.03527064993977547,
0.021987900137901306,
0.07110971957445145,
-0.05647649988532066,
0.09723399579524994,
0.004017964471131563,
0.03428124263882637,
-0.04281333461403847,
-3.873671516885224e-8,
-0.03981829434633255,
0.025324134156107903,
-0.02059914357960224,
0.04187343642115593,
0.04421692341566086,
0.08383435010910034,
-0.0840643048286438,
0.03812021762132645,
0.01577858068048954,
-0.044345755130052567,
0.02527172863483429,
0.04638887196779251,
-0.06661529093980789,
-0.004755338188260794,
0.015929793938994408,
0.018351934850215912,
-0.0437387079000473,
-0.007332201115787029,
-0.029149718582630157,
-0.03091365285217762,
0.030330901965498924,
0.06594385206699371,
0.009855702519416809,
0.026172256097197533,
-0.027851669117808342,
-0.070004902780056,
0.07407872378826141,
0.015580433420836926,
-0.018330279737710953,
0.024366863071918488,
0.072758749127388,
0.07502318918704987,
-0.07095742225646973,
-0.018158992752432823,
0.03212736174464226,
0.0535682737827301,
0.05392102152109146,
-0.06803850084543228,
0.01824994571506977,
-0.0773552805185318,
0.00019555735343601555,
-0.0029683958273380995,
-0.07220905274152756,
0.005275778006762266,
-0.007119421847164631,
-0.08040261268615723,
0.006306538823992014,
-0.05384169518947601,
0.0086448909714818,
-0.03221413120627403,
-0.04235804080963135,
-0.07227779179811478,
-0.037405870854854584,
-0.025202518329024315,
-0.005930221639573574,
0.014021624810993671,
-0.09612983465194702,
-0.048734746873378754,
0.008890632539987564,
-0.012101354077458382,
-0.03761628270149231,
0.046697914600372314,
0.060163598507642746,
0.025264156982302666
] |
1401.0523 | Khalid Jebari hassani | Khalid Jebari, Mohammed Madiafi, Abdelaziz El Moujahid | Solving Poisson Equation by Genetic Algorithms | null | International Journal of Computer Applications Volume 83, No 5,
December 2013 | null | null | cs.NE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper deals with a method for solving Poisson Equation (PE) based on
genetic algorithms and grammatical evolution. The method forms generations of
solutions expressed in an analytical form. Several examples of PE are tested
and in most cases the exact solution is recovered. But, when the solution
cannot be expressed in an analytical form, our method produces a satisfactory
solution with a good level of accuracy
| [
{
"created": "Thu, 2 Jan 2014 20:15:00 GMT",
"version": "v1"
}
] | 2014-01-03 | [
[
"Jebari",
"Khalid",
""
],
[
"Madiafi",
"Mohammed",
""
],
[
"Moujahid",
"Abdelaziz El",
""
]
] | [
-0.06385629624128342,
0.035881608724594116,
0.036437369883060455,
-0.02171666920185089,
-0.07557474821805954,
-0.03615303710103035,
0.05463385209441185,
-0.020345641300082207,
0.02924410253763199,
0.007132954429835081,
0.12040967494249344,
-0.04794417694211006,
-0.03286879137158394,
-0.02699211984872818,
0.023519614711403847,
-0.022539587691426277,
-0.096450574696064,
-0.036556441336870193,
0.023543421179056168,
-0.07569213211536407,
-0.016324322670698166,
0.019394908100366592,
-0.06796398758888245,
-0.0400368869304657,
-0.04765398055315018,
0.02310408651828766,
0.047938551753759384,
-0.03445316106081009,
0.07678251713514328,
-0.004868930671364069,
0.09688728302717209,
0.03165464475750923,
0.0009986399672925472,
-0.056596141308546066,
-0.07023110240697861,
0.019354723393917084,
-0.09941843897104263,
0.002174406312406063,
-0.04187701269984245,
-0.018449954688549042,
-0.04703489691019058,
0.03587056323885918,
0.01072956807911396,
-0.02882961370050907,
0.09830739349126816,
-0.014774312265217304,
-0.004484694451093674,
0.04282490909099579,
-0.02419304847717285,
-0.01707802526652813,
-0.04494047537446022,
-0.0004631115880329162,
-0.002523930510506034,
-0.07566703855991364,
0.12949998676776886,
-0.05748904496431351,
-0.042001597583293915,
-0.04499606788158417,
0.01804138533771038,
-0.03156246244907379,
0.022358030080795288,
0.05726959928870201,
-0.022348666563630104,
-0.08122990280389786,
-0.005547455511987209,
0.04710087925195694,
0.09231765568256378,
-0.07214662432670593,
0.011690983548760414,
-0.001643818337470293,
-0.051529448479413986,
0.022158091887831688,
-0.019691143184900284,
0.027246462181210518,
-0.03222393989562988,
0.09511157125234604,
0.028638450428843498,
0.009441391564905643,
-0.013570188544690609,
0.04788527637720108,
0.005213776137679815,
-0.026165496557950974,
-0.037920914590358734,
-0.036989517509937286,
0.01269466895610094,
-0.01899023912847042,
-0.05684257298707962,
0.005332238040864468,
0.039643626660108566,
-0.01813068427145481,
-0.06087228283286095,
-0.025092989206314087,
0.023690905421972275,
-0.0342029444873333,
-0.07363247126340866,
0.07985278964042664,
-0.06320078670978546,
0.11539305001497269,
0.05319080874323845,
0.03572593629360199,
-0.022677375003695488,
-0.04502372816205025,
0.0459902361035347,
0.07153070718050003,
0.006702577229589224,
-0.016589324921369553,
0.021617867052555084,
0.008587819524109364,
0.01918843574821949,
-0.05085572600364685,
-0.07532095164060593,
0.03653862327337265,
-0.012609726749360561,
0.07139287143945694,
-0.029092153534293175,
-0.07158803194761276,
0.028974777087569237,
0.0009335592621937394,
0.03137969225645065,
0.024944094941020012,
0.0452968031167984,
-0.006460345350205898,
-0.02602078579366207,
0.011184684000909328,
-0.0366484560072422,
-0.007899210788309574,
0.0820825845003128,
2.022330766730233e-33,
-0.08575978875160217,
0.04575922712683678,
0.07221832126379013,
-0.028882894665002823,
0.02339927665889263,
-0.009899712167680264,
-0.03104950301349163,
0.06427186727523804,
0.06254519522190094,
-0.0064102234318852425,
-0.08502428978681564,
-0.04149361699819565,
0.006652447860687971,
0.007328154984861612,
0.029745759442448616,
-0.08388691395521164,
-0.03636849671602249,
0.03244827687740326,
0.027841605246067047,
0.010198633186519146,
0.08503225445747375,
-0.0027337854262441397,
0.11134679615497589,
0.01244407519698143,
-0.007876574993133545,
0.046615589410066605,
0.10463203489780426,
-0.08097846060991287,
0.005145316943526268,
-0.008959335274994373,
0.05554255098104477,
-0.014694170095026493,
-0.011216099373996258,
0.004764931742101908,
-0.03547966480255127,
-0.010088371112942696,
0.07179740816354752,
0.02187756635248661,
0.007519450969994068,
0.10557170957326889,
-0.08546503633260727,
-0.037470005452632904,
0.07143355160951614,
0.053391341120004654,
0.01895470730960369,
0.015769941732287407,
0.00310552422888577,
0.042660851031541824,
-0.005233985837548971,
0.06006811186671257,
-0.09777659922838211,
-0.04067801684141159,
-0.020268848165869713,
0.04298907518386841,
0.002472305204719305,
0.06818699836730957,
-0.07710469514131546,
0.05941179767251015,
0.038139455020427704,
-0.04418709874153137,
0.06853222846984863,
-0.031898826360702515,
0.0403481051325798,
-0.059818085283041,
0.03860609978437424,
0.01682831346988678,
0.046500761061906815,
0.026518139988183975,
0.10486213862895966,
-0.03546738997101784,
0.11400125920772552,
-0.09028741717338562,
-0.06054079160094261,
0.005441287532448769,
0.059366196393966675,
-0.0771937146782875,
0.03625095635652542,
0.010643326677381992,
0.03341660276055336,
-0.05926843360066414,
-0.09618017822504044,
0.09047859907150269,
0.05064932629466057,
0.01695115678012371,
0.029991518706083298,
-0.07872004061937332,
-0.012576065957546234,
0.11339222639799118,
-0.035841457545757294,
-0.056782253086566925,
-0.04336821287870407,
-0.01176520250737667,
0.005962435621768236,
0.027874920517206192,
0.11175379157066345,
-2.853027277859404e-33,
-0.0800938531756401,
-0.04418947175145149,
-0.03378933668136597,
-0.028315270319581032,
-0.01094819139689207,
-0.11218207329511642,
-0.055579788982868195,
0.021499760448932648,
-0.014057748019695282,
-0.040553007274866104,
-0.05589413270354271,
0.039456117898225784,
-0.03419911488890648,
0.060551561415195465,
-0.01423288881778717,
-0.039560604840517044,
-0.0596255362033844,
0.03371516987681389,
0.0043540773913264275,
0.03830556571483612,
-0.08013760298490524,
0.033625002950429916,
0.058285120874643326,
-0.020763136446475983,
0.04544338583946228,
0.008502189069986343,
0.019389893859624863,
0.018099509179592133,
0.00023913109907880425,
0.056077923625707626,
-0.055438119918107986,
0.034406550228595734,
0.021359635517001152,
0.052028410136699677,
0.004308283794671297,
-0.00013845665671397,
0.07773362100124359,
0.08127923309803009,
0.07068058848381042,
-0.00736872386187315,
-0.04008420929312706,
0.009179397486150265,
0.039019837975502014,
-0.01235885638743639,
-0.028993984684348106,
0.0982244610786438,
0.022276246920228004,
0.015773233026266098,
0.07526755332946777,
0.07626380026340485,
0.07244537025690079,
0.03876380994915962,
0.025137539952993393,
-0.030003473162651062,
-0.037080857902765274,
-0.004145734943449497,
0.03602692112326622,
-0.04673062637448311,
-0.039049260318279266,
-0.01680510863661766,
-0.04490959271788597,
0.02025628462433815,
0.11917855590581894,
0.08607771247625351,
-0.006798125337809324,
0.027238693088293076,
-0.030668970197439194,
0.0742897093296051,
-0.058211833238601685,
-0.07130435854196548,
-0.045945391058921814,
-0.026881366968154907,
-0.009253784082829952,
-0.035206135362386703,
-0.008675464428961277,
-0.03564220666885376,
-0.07092850655317307,
0.01375857088714838,
0.12391282618045807,
-0.11227398365736008,
0.0030549848452210426,
-0.03884952887892723,
0.0008585907635279,
-0.034908004105091095,
-0.06117641553282738,
-0.14541183412075043,
0.07763990014791489,
-0.020539654418826103,
0.009236459620296955,
0.0022177647333592176,
-0.026130279526114464,
0.03502628579735756,
-0.035507652908563614,
-0.06750967353582382,
0.012160819955170155,
-4.536779485420084e-8,
-0.007005524821579456,
-0.007235898170620203,
-0.033157121390104294,
-0.0203708503395319,
0.12453965097665787,
0.05373706668615341,
-0.10948733240365982,
-0.000021643201762344688,
0.034056633710861206,
-0.11825689673423767,
-0.009940211661159992,
-0.004116404335945845,
0.04667773097753525,
-0.0009805918671190739,
-0.05263417959213257,
0.014342288486659527,
0.030235154554247856,
-0.01741218753159046,
-0.024577001109719276,
0.01243728119879961,
-0.005706355907022953,
0.048252642154693604,
-0.053069066256284714,
0.019806280732154846,
0.015283970162272453,
-0.0006026590126566589,
-0.01974014937877655,
-0.09436041861772537,
0.03371178358793259,
0.024692725390195847,
-0.04823118820786476,
0.01781710796058178,
-0.03995322063565254,
0.07359515130519867,
0.08948231488466263,
0.044429752975702286,
0.05177377164363861,
-0.030109204351902008,
-0.05694732442498207,
-0.04658754542469978,
0.009609462693333626,
-0.025973252952098846,
-0.008733240887522697,
-0.058689214289188385,
0.11684008687734604,
0.005785387475043535,
-0.024703724309802055,
0.014455522410571575,
0.013022072613239288,
0.021692249923944473,
-0.036855027079582214,
-0.004706981126219034,
-0.07786080241203308,
-0.051528140902519226,
0.0005238733720034361,
-0.0990900918841362,
-0.01816806197166443,
-0.032325178384780884,
0.08963635563850403,
0.03942706808447838,
-0.008662114851176739,
0.09125220775604248,
0.09515726566314697,
-0.0031515629962086678
] | null | null | null | null | null | null | null | [
-0.06385629624128342,
0.035881608724594116,
0.036437369883060455,
-0.02171666920185089,
-0.07557474821805954,
-0.03615303710103035,
0.05463385209441185,
-0.020345641300082207,
0.02924410253763199,
0.007132954429835081,
0.12040967494249344,
-0.04794417694211006,
-0.03286879137158394,
-0.02699211984872818,
0.023519614711403847,
-0.022539587691426277,
-0.096450574696064,
-0.036556441336870193,
0.023543421179056168,
-0.07569213211536407,
-0.016324322670698166,
0.019394908100366592,
-0.06796398758888245,
-0.0400368869304657,
-0.04765398055315018,
0.02310408651828766,
0.047938551753759384,
-0.03445316106081009,
0.07678251713514328,
-0.004868930671364069,
0.09688728302717209,
0.03165464475750923,
0.0009986399672925472,
-0.056596141308546066,
-0.07023110240697861,
0.019354723393917084,
-0.09941843897104263,
0.002174406312406063,
-0.04187701269984245,
-0.018449954688549042,
-0.04703489691019058,
0.03587056323885918,
0.01072956807911396,
-0.02882961370050907,
0.09830739349126816,
-0.014774312265217304,
-0.004484694451093674,
0.04282490909099579,
-0.02419304847717285,
-0.01707802526652813,
-0.04494047537446022,
-0.0004631115880329162,
-0.002523930510506034,
-0.07566703855991364,
0.12949998676776886,
-0.05748904496431351,
-0.042001597583293915,
-0.04499606788158417,
0.01804138533771038,
-0.03156246244907379,
0.022358030080795288,
0.05726959928870201,
-0.022348666563630104,
-0.08122990280389786,
-0.005547455511987209,
0.04710087925195694,
0.09231765568256378,
-0.07214662432670593,
0.011690983548760414,
-0.001643818337470293,
-0.051529448479413986,
0.022158091887831688,
-0.019691143184900284,
0.027246462181210518,
-0.03222393989562988,
0.09511157125234604,
0.028638450428843498,
0.009441391564905643,
-0.013570188544690609,
0.04788527637720108,
0.005213776137679815,
-0.026165496557950974,
-0.037920914590358734,
-0.036989517509937286,
0.01269466895610094,
-0.01899023912847042,
-0.05684257298707962,
0.005332238040864468,
0.039643626660108566,
-0.01813068427145481,
-0.06087228283286095,
-0.025092989206314087,
0.023690905421972275,
-0.0342029444873333,
-0.07363247126340866,
0.07985278964042664,
-0.06320078670978546,
0.11539305001497269,
0.05319080874323845,
0.03572593629360199,
-0.022677375003695488,
-0.04502372816205025,
0.0459902361035347,
0.07153070718050003,
0.006702577229589224,
-0.016589324921369553,
0.021617867052555084,
0.008587819524109364,
0.01918843574821949,
-0.05085572600364685,
-0.07532095164060593,
0.03653862327337265,
-0.012609726749360561,
0.07139287143945694,
-0.029092153534293175,
-0.07158803194761276,
0.028974777087569237,
0.0009335592621937394,
0.03137969225645065,
0.024944094941020012,
0.0452968031167984,
-0.006460345350205898,
-0.02602078579366207,
0.011184684000909328,
-0.0366484560072422,
-0.007899210788309574,
0.0820825845003128,
2.022330766730233e-33,
-0.08575978875160217,
0.04575922712683678,
0.07221832126379013,
-0.028882894665002823,
0.02339927665889263,
-0.009899712167680264,
-0.03104950301349163,
0.06427186727523804,
0.06254519522190094,
-0.0064102234318852425,
-0.08502428978681564,
-0.04149361699819565,
0.006652447860687971,
0.007328154984861612,
0.029745759442448616,
-0.08388691395521164,
-0.03636849671602249,
0.03244827687740326,
0.027841605246067047,
0.010198633186519146,
0.08503225445747375,
-0.0027337854262441397,
0.11134679615497589,
0.01244407519698143,
-0.007876574993133545,
0.046615589410066605,
0.10463203489780426,
-0.08097846060991287,
0.005145316943526268,
-0.008959335274994373,
0.05554255098104477,
-0.014694170095026493,
-0.011216099373996258,
0.004764931742101908,
-0.03547966480255127,
-0.010088371112942696,
0.07179740816354752,
0.02187756635248661,
0.007519450969994068,
0.10557170957326889,
-0.08546503633260727,
-0.037470005452632904,
0.07143355160951614,
0.053391341120004654,
0.01895470730960369,
0.015769941732287407,
0.00310552422888577,
0.042660851031541824,
-0.005233985837548971,
0.06006811186671257,
-0.09777659922838211,
-0.04067801684141159,
-0.020268848165869713,
0.04298907518386841,
0.002472305204719305,
0.06818699836730957,
-0.07710469514131546,
0.05941179767251015,
0.038139455020427704,
-0.04418709874153137,
0.06853222846984863,
-0.031898826360702515,
0.0403481051325798,
-0.059818085283041,
0.03860609978437424,
0.01682831346988678,
0.046500761061906815,
0.026518139988183975,
0.10486213862895966,
-0.03546738997101784,
0.11400125920772552,
-0.09028741717338562,
-0.06054079160094261,
0.005441287532448769,
0.059366196393966675,
-0.0771937146782875,
0.03625095635652542,
0.010643326677381992,
0.03341660276055336,
-0.05926843360066414,
-0.09618017822504044,
0.09047859907150269,
0.05064932629466057,
0.01695115678012371,
0.029991518706083298,
-0.07872004061937332,
-0.012576065957546234,
0.11339222639799118,
-0.035841457545757294,
-0.056782253086566925,
-0.04336821287870407,
-0.01176520250737667,
0.005962435621768236,
0.027874920517206192,
0.11175379157066345,
-2.853027277859404e-33,
-0.0800938531756401,
-0.04418947175145149,
-0.03378933668136597,
-0.028315270319581032,
-0.01094819139689207,
-0.11218207329511642,
-0.055579788982868195,
0.021499760448932648,
-0.014057748019695282,
-0.040553007274866104,
-0.05589413270354271,
0.039456117898225784,
-0.03419911488890648,
0.060551561415195465,
-0.01423288881778717,
-0.039560604840517044,
-0.0596255362033844,
0.03371516987681389,
0.0043540773913264275,
0.03830556571483612,
-0.08013760298490524,
0.033625002950429916,
0.058285120874643326,
-0.020763136446475983,
0.04544338583946228,
0.008502189069986343,
0.019389893859624863,
0.018099509179592133,
0.00023913109907880425,
0.056077923625707626,
-0.055438119918107986,
0.034406550228595734,
0.021359635517001152,
0.052028410136699677,
0.004308283794671297,
-0.00013845665671397,
0.07773362100124359,
0.08127923309803009,
0.07068058848381042,
-0.00736872386187315,
-0.04008420929312706,
0.009179397486150265,
0.039019837975502014,
-0.01235885638743639,
-0.028993984684348106,
0.0982244610786438,
0.022276246920228004,
0.015773233026266098,
0.07526755332946777,
0.07626380026340485,
0.07244537025690079,
0.03876380994915962,
0.025137539952993393,
-0.030003473162651062,
-0.037080857902765274,
-0.004145734943449497,
0.03602692112326622,
-0.04673062637448311,
-0.039049260318279266,
-0.01680510863661766,
-0.04490959271788597,
0.02025628462433815,
0.11917855590581894,
0.08607771247625351,
-0.006798125337809324,
0.027238693088293076,
-0.030668970197439194,
0.0742897093296051,
-0.058211833238601685,
-0.07130435854196548,
-0.045945391058921814,
-0.026881366968154907,
-0.009253784082829952,
-0.035206135362386703,
-0.008675464428961277,
-0.03564220666885376,
-0.07092850655317307,
0.01375857088714838,
0.12391282618045807,
-0.11227398365736008,
0.0030549848452210426,
-0.03884952887892723,
0.0008585907635279,
-0.034908004105091095,
-0.06117641553282738,
-0.14541183412075043,
0.07763990014791489,
-0.020539654418826103,
0.009236459620296955,
0.0022177647333592176,
-0.026130279526114464,
0.03502628579735756,
-0.035507652908563614,
-0.06750967353582382,
0.012160819955170155,
-4.536779485420084e-8,
-0.007005524821579456,
-0.007235898170620203,
-0.033157121390104294,
-0.0203708503395319,
0.12453965097665787,
0.05373706668615341,
-0.10948733240365982,
-0.000021643201762344688,
0.034056633710861206,
-0.11825689673423767,
-0.009940211661159992,
-0.004116404335945845,
0.04667773097753525,
-0.0009805918671190739,
-0.05263417959213257,
0.014342288486659527,
0.030235154554247856,
-0.01741218753159046,
-0.024577001109719276,
0.01243728119879961,
-0.005706355907022953,
0.048252642154693604,
-0.053069066256284714,
0.019806280732154846,
0.015283970162272453,
-0.0006026590126566589,
-0.01974014937877655,
-0.09436041861772537,
0.03371178358793259,
0.024692725390195847,
-0.04823118820786476,
0.01781710796058178,
-0.03995322063565254,
0.07359515130519867,
0.08948231488466263,
0.044429752975702286,
0.05177377164363861,
-0.030109204351902008,
-0.05694732442498207,
-0.04658754542469978,
0.009609462693333626,
-0.025973252952098846,
-0.008733240887522697,
-0.058689214289188385,
0.11684008687734604,
0.005785387475043535,
-0.024703724309802055,
0.014455522410571575,
0.013022072613239288,
0.021692249923944473,
-0.036855027079582214,
-0.004706981126219034,
-0.07786080241203308,
-0.051528140902519226,
0.0005238733720034361,
-0.0990900918841362,
-0.01816806197166443,
-0.032325178384780884,
0.08963635563850403,
0.03942706808447838,
-0.008662114851176739,
0.09125220775604248,
0.09515726566314697,
-0.0031515629962086678
] |
1401.0525 | Konstantinos Mavrokoridis | K. Mavrokoridis, F. Ball, J. Carroll, M. Lazos, K. J. McCormick, N. A.
Smith, C. Touramanis, J. Walker | Optical Readout of a Two Phase Liquid Argon TPC using CCD Camera and
THGEMs | The acronym TGEM was changed to THGEM. Typos in text and figures were
corrected. References were added | null | 10.1088/1748-0221/9/02/P02006 | null | physics.ins-det | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents a preliminary study into the use of CCDs to image
secondary scintillation light generated by THick Gas Electron Multipliers
(THGEMs) in a two phase LAr TPC. A Sony ICX285AL CCD chip was mounted above a
double THGEM in the gas phase of a 40 litre two-phase LAr TPC with the majority
of the camera electronics positioned externally via a feedthrough. An Am-241
source was mounted on a rotatable motion feedthrough allowing the positioning
of the alpha source either inside or outside of the field cage. Developed for
and incorporated into the TPC design was a novel high voltage feedthrough
featuring LAr insulation. Furthermore, a range of webcams were tested for
operation in cryogenics as an internal detector monitoring tool. Of the range
of webcams tested the Microsoft HD-3000 (model no:1456) webcam was found to be
superior in terms of noise and lowest operating temperature.
In ambient temperature and atmospheric pressure 1 ppm pure argon gas, the
THGEM gain was approximately 1000 and using a 1 msec exposure the CCD captured
single alpha tracks. Successful operation of the CCD camera in two-phase
cryogenic mode was also achieved. Using a 10 sec exposure a photograph of
secondary scintillation light induced by the Am-241 source in LAr has been
captured for the first time.
| [
{
"created": "Thu, 2 Jan 2014 20:24:50 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2014 09:44:27 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Mavrokoridis",
"K.",
""
],
[
"Ball",
"F.",
""
],
[
"Carroll",
"J.",
""
],
[
"Lazos",
"M.",
""
],
[
"McCormick",
"K. J.",
""
],
[
"Smith",
"N. A.",
""
],
[
"Touramanis",
"C.",
""
],
[
"Walker",
"J.",
""
]
] | [
-0.03429008647799492,
0.018980352208018303,
-0.0325433649122715,
-0.057377852499485016,
0.057744063436985016,
-0.06169360131025314,
0.013584382832050323,
0.01618312858045101,
0.014058454893529415,
0.02737036906182766,
0.03959507495164871,
-0.06590782850980759,
-0.03963501751422882,
-0.014139784500002861,
0.04497598856687546,
-0.028716936707496643,
0.03908645734190941,
-0.020855218172073364,
0.01968272589147091,
-0.05639500170946121,
0.028897587209939957,
-0.09922053664922714,
-0.003913518972694874,
-0.010166688822209835,
0.011734367348253727,
0.020221227779984474,
-0.008245522156357765,
-0.0023731072433292866,
-0.0033024961594492197,
0.048649586737155914,
0.0030053206719458103,
-0.028324538841843605,
-0.0399952307343483,
0.032157570123672485,
0.05072479322552681,
-0.026544632390141487,
0.06130184605717659,
-0.08711007237434387,
-0.004618833772838116,
-0.009848697111010551,
-0.026507969945669174,
-0.04546099528670311,
0.03450804576277733,
-0.059298399835824966,
-0.002786782803013921,
0.01244262419641018,
0.06383535265922546,
-0.0386568047106266,
-0.053995270282030106,
-0.034733910113573074,
-0.019028469920158386,
-0.011746272444725037,
0.05010717734694481,
0.061007969081401825,
-0.0852668285369873,
-0.0022524793166667223,
-0.00799572467803955,
-0.03286217153072357,
0.028078027069568634,
-0.06316474080085754,
0.03896920010447502,
0.03246764466166496,
0.07903411984443665,
0.04866503179073334,
-0.031878337264060974,
0.022317200899124146,
0.034770019352436066,
-0.01717284694314003,
0.1055825874209404,
-0.12381695955991745,
-0.10354520380496979,
0.020932141691446304,
0.026002297177910805,
-0.018285775557160378,
-0.06277285516262054,
0.0164518803358078,
0.05869003385305405,
-0.0454472079873085,
0.054226022213697433,
-0.034888893365859985,
0.09625880420207977,
-0.017729511484503746,
-0.07858915627002716,
0.02408774197101593,
-0.011222107335925102,
0.030897967517375946,
0.07940705865621567,
0.06161778047680855,
-0.04867135360836983,
-0.027569472789764404,
-0.0702548697590828,
-0.07062362134456635,
-0.07990577071905136,
0.06614506989717484,
0.0028167564887553453,
-0.07926730066537857,
0.05902961269021034,
-0.005969860125333071,
0.0045321169309318066,
-0.03092377446591854,
0.04187747463583946,
-0.047896794974803925,
-0.01309963595122099,
-0.0054660337045788765,
-0.03269985690712929,
-0.04128914326429367,
-0.03270071744918823,
0.0701347142457962,
0.09330694377422333,
-0.033098045736551285,
-0.09178870916366577,
0.10818216949701309,
-0.029617473483085632,
-0.06735359877347946,
0.08352809399366379,
0.026843342930078506,
-0.09082581102848053,
0.01837030053138733,
0.03003464639186859,
-0.08387433737516403,
0.035696715116500854,
-0.03761802986264229,
-0.025392189621925354,
0.05316491052508354,
0.15279051661491394,
-0.08236470818519592,
0.05078290402889252,
7.817554650482574e-33,
0.011742256581783295,
0.04461105912923813,
-0.0659499317407608,
0.024473905563354492,
-0.022557996213436127,
0.04573611542582512,
0.057314131408929825,
0.05711732059717178,
-0.05194929242134094,
0.04121343046426773,
0.06813232600688934,
-0.07438051700592041,
0.0261003989726305,
-0.022712519392371178,
0.04913627356290817,
-0.003955787047743797,
-0.0024895824026316404,
-0.02946307882666588,
0.020595915615558624,
0.03884501755237579,
-0.06360044330358505,
-0.058808136731386185,
0.0511600598692894,
0.06135813146829605,
0.05327616631984711,
0.05510549247264862,
0.0007204900612123311,
0.05594837665557861,
-0.017915742471814156,
0.018208587542176247,
0.06214859336614609,
-0.00924400519579649,
-0.03732597827911377,
0.019675739109516144,
0.045006539672613144,
-0.013172476552426815,
-0.06497100740671158,
0.025515994057059288,
-0.019515417516231537,
0.015558731742203236,
0.022518323734402657,
0.15777955949306488,
0.027329299598932266,
-0.0535498671233654,
0.008332406170666218,
-0.01608555018901825,
-0.06748655438423157,
0.05225725844502449,
-0.03534219041466713,
-0.006910205353051424,
-0.026538122445344925,
-0.012201975099742413,
-0.005329758860170841,
-0.023763930425047874,
0.057622458785772324,
0.030490992590785027,
0.006805664859712124,
-0.015184975229203701,
0.020166145637631416,
0.0531916581094265,
-0.021753061562776566,
0.018931008875370026,
0.007308605592697859,
0.03722713142633438,
-0.08967359364032745,
0.027425605803728104,
0.06522978097200394,
-0.009296556934714317,
-0.09303351491689682,
0.01044310163706541,
0.013700295239686966,
0.008372373878955841,
0.0819481909275055,
-0.12766054272651672,
0.0660347267985344,
0.004554979037493467,
-0.03302863612771034,
-0.01692398265004158,
-0.007590745110064745,
0.00244167004711926,
-0.08273258060216904,
-0.0212932750582695,
0.07304125279188156,
-0.0027001218404620886,
-0.04256853833794594,
0.011792712844908237,
-0.09426125884056091,
0.028933260589838028,
-0.046242762356996536,
0.024112077429890633,
0.0556979738175869,
-0.05007116124033928,
0.008425580337643623,
-0.05811745673418045,
-0.06296881288290024,
-6.243555225104053e-33,
0.01580730825662613,
0.04869087412953377,
-0.07107016444206238,
-0.03444629907608032,
-0.05638178065419197,
-0.008923374116420746,
0.029586665332317352,
0.015433333814144135,
0.06764405220746994,
-0.009944001212716103,
0.11213008314371109,
0.02677016705274582,
-0.11764345318078995,
0.03110273741185665,
0.043687738478183746,
0.023994527757167816,
0.01449504867196083,
-0.12153832614421844,
0.012413770891726017,
-0.017724603414535522,
0.09719131141901016,
0.0028490591794252396,
-0.0016082230722531676,
-0.010623203590512276,
0.04166721925139427,
0.08752359449863434,
0.04881499335169792,
0.012924863025546074,
0.06801121681928635,
-0.07904074341058731,
0.026045437902212143,
0.05770517513155937,
0.06312304735183716,
0.03567647933959961,
0.04005200415849686,
-0.024747610092163086,
0.08732686936855316,
-0.01794273778796196,
-0.0399646982550621,
-0.021451596170663834,
0.009303621016442776,
0.10735561698675156,
-0.03609628230333328,
0.03620263189077377,
-0.02143982984125614,
0.033565737307071686,
0.03379000350832939,
-0.06153251230716705,
0.06928976625204086,
0.09734567999839783,
-0.020344426855444908,
-0.0743187740445137,
-0.06681059300899506,
0.06451322138309479,
0.050616294145584106,
-0.025202250108122826,
-0.059073109179735184,
0.11715131998062134,
-0.04295165464282036,
-0.0980246514081955,
0.11339478194713593,
-0.016105927526950836,
0.015221510082483292,
-0.058956027030944824,
-0.05226944759488106,
-0.032063525170087814,
-0.04947682470083237,
0.0964217260479927,
-0.00419875280931592,
0.023324133828282356,
0.0866476520895958,
0.0658746138215065,
0.04587316885590553,
-0.03293909505009651,
-0.026925183832645416,
-0.01481651421636343,
0.003984265029430389,
-0.06025133281946182,
0.036944981664419174,
-0.012056578882038593,
-0.05624992400407791,
-0.0658276155591011,
0.019947469234466553,
0.03167065605521202,
0.09892721474170685,
-0.03088565170764923,
-0.0230193380266428,
-0.02301836386322975,
-0.028337372466921806,
-0.05872080475091934,
-0.031740881502628326,
0.012896526604890823,
0.026723315939307213,
0.003295977134257555,
0.07282176613807678,
-5.5837695356331096e-8,
-0.03062259592115879,
-0.0036712326109409332,
-0.1278245598077774,
-0.014418410137295723,
-0.031006881967186928,
-0.03148962929844856,
0.026881389319896698,
0.05290386453270912,
0.08195630460977554,
-0.07323309034109116,
0.017937859520316124,
-0.008017380721867085,
0.06485126912593842,
-0.011338261887431145,
0.020364899188280106,
-0.03893628343939781,
-0.04892165586352348,
-0.10096956789493561,
0.019438138231635094,
0.019795719534158707,
-0.003015361726284027,
-0.07221289724111557,
-0.013796753250062466,
-0.03767981752753258,
0.029246801510453224,
0.046831320971250534,
0.024039577692747116,
-0.028730953112244606,
0.0385124646127224,
-0.05573587492108345,
-0.08407555520534515,
-0.03791970759630203,
-0.006293890532106161,
-0.018924718722701073,
0.08217404037714005,
0.0012438490521162748,
-0.07897414267063141,
0.030398106202483177,
0.06910984963178635,
0.04845316335558891,
-0.07171443104743958,
-0.09789330512285233,
-0.059462472796440125,
0.017857801169157028,
0.013356494717299938,
-0.025714188814163208,
-0.0010066599352285266,
-0.07058601826429367,
-0.08130206167697906,
0.025327589362859726,
-0.03832796588540077,
0.010842160321772099,
0.010371574200689793,
-0.014538894407451153,
0.03127621114253998,
0.03599429130554199,
0.04349131137132645,
0.014172103255987167,
0.011924603022634983,
0.08319297432899475,
0.0448349304497242,
-0.04204799234867096,
-0.10115738213062286,
0.0019381961319595575
] | null | null | null | null | null | null | null | [
-0.03429008647799492,
0.018980352208018303,
-0.0325433649122715,
-0.057377852499485016,
0.057744063436985016,
-0.06169360131025314,
0.013584382832050323,
0.01618312858045101,
0.014058454893529415,
0.02737036906182766,
0.03959507495164871,
-0.06590782850980759,
-0.03963501751422882,
-0.014139784500002861,
0.04497598856687546,
-0.028716936707496643,
0.03908645734190941,
-0.020855218172073364,
0.01968272589147091,
-0.05639500170946121,
0.028897587209939957,
-0.09922053664922714,
-0.003913518972694874,
-0.010166688822209835,
0.011734367348253727,
0.020221227779984474,
-0.008245522156357765,
-0.0023731072433292866,
-0.0033024961594492197,
0.048649586737155914,
0.0030053206719458103,
-0.028324538841843605,
-0.0399952307343483,
0.032157570123672485,
0.05072479322552681,
-0.026544632390141487,
0.06130184605717659,
-0.08711007237434387,
-0.004618833772838116,
-0.009848697111010551,
-0.026507969945669174,
-0.04546099528670311,
0.03450804576277733,
-0.059298399835824966,
-0.002786782803013921,
0.01244262419641018,
0.06383535265922546,
-0.0386568047106266,
-0.053995270282030106,
-0.034733910113573074,
-0.019028469920158386,
-0.011746272444725037,
0.05010717734694481,
0.061007969081401825,
-0.0852668285369873,
-0.0022524793166667223,
-0.00799572467803955,
-0.03286217153072357,
0.028078027069568634,
-0.06316474080085754,
0.03896920010447502,
0.03246764466166496,
0.07903411984443665,
0.04866503179073334,
-0.031878337264060974,
0.022317200899124146,
0.034770019352436066,
-0.01717284694314003,
0.1055825874209404,
-0.12381695955991745,
-0.10354520380496979,
0.020932141691446304,
0.026002297177910805,
-0.018285775557160378,
-0.06277285516262054,
0.0164518803358078,
0.05869003385305405,
-0.0454472079873085,
0.054226022213697433,
-0.034888893365859985,
0.09625880420207977,
-0.017729511484503746,
-0.07858915627002716,
0.02408774197101593,
-0.011222107335925102,
0.030897967517375946,
0.07940705865621567,
0.06161778047680855,
-0.04867135360836983,
-0.027569472789764404,
-0.0702548697590828,
-0.07062362134456635,
-0.07990577071905136,
0.06614506989717484,
0.0028167564887553453,
-0.07926730066537857,
0.05902961269021034,
-0.005969860125333071,
0.0045321169309318066,
-0.03092377446591854,
0.04187747463583946,
-0.047896794974803925,
-0.01309963595122099,
-0.0054660337045788765,
-0.03269985690712929,
-0.04128914326429367,
-0.03270071744918823,
0.0701347142457962,
0.09330694377422333,
-0.033098045736551285,
-0.09178870916366577,
0.10818216949701309,
-0.029617473483085632,
-0.06735359877347946,
0.08352809399366379,
0.026843342930078506,
-0.09082581102848053,
0.01837030053138733,
0.03003464639186859,
-0.08387433737516403,
0.035696715116500854,
-0.03761802986264229,
-0.025392189621925354,
0.05316491052508354,
0.15279051661491394,
-0.08236470818519592,
0.05078290402889252,
7.817554650482574e-33,
0.011742256581783295,
0.04461105912923813,
-0.0659499317407608,
0.024473905563354492,
-0.022557996213436127,
0.04573611542582512,
0.057314131408929825,
0.05711732059717178,
-0.05194929242134094,
0.04121343046426773,
0.06813232600688934,
-0.07438051700592041,
0.0261003989726305,
-0.022712519392371178,
0.04913627356290817,
-0.003955787047743797,
-0.0024895824026316404,
-0.02946307882666588,
0.020595915615558624,
0.03884501755237579,
-0.06360044330358505,
-0.058808136731386185,
0.0511600598692894,
0.06135813146829605,
0.05327616631984711,
0.05510549247264862,
0.0007204900612123311,
0.05594837665557861,
-0.017915742471814156,
0.018208587542176247,
0.06214859336614609,
-0.00924400519579649,
-0.03732597827911377,
0.019675739109516144,
0.045006539672613144,
-0.013172476552426815,
-0.06497100740671158,
0.025515994057059288,
-0.019515417516231537,
0.015558731742203236,
0.022518323734402657,
0.15777955949306488,
0.027329299598932266,
-0.0535498671233654,
0.008332406170666218,
-0.01608555018901825,
-0.06748655438423157,
0.05225725844502449,
-0.03534219041466713,
-0.006910205353051424,
-0.026538122445344925,
-0.012201975099742413,
-0.005329758860170841,
-0.023763930425047874,
0.057622458785772324,
0.030490992590785027,
0.006805664859712124,
-0.015184975229203701,
0.020166145637631416,
0.0531916581094265,
-0.021753061562776566,
0.018931008875370026,
0.007308605592697859,
0.03722713142633438,
-0.08967359364032745,
0.027425605803728104,
0.06522978097200394,
-0.009296556934714317,
-0.09303351491689682,
0.01044310163706541,
0.013700295239686966,
0.008372373878955841,
0.0819481909275055,
-0.12766054272651672,
0.0660347267985344,
0.004554979037493467,
-0.03302863612771034,
-0.01692398265004158,
-0.007590745110064745,
0.00244167004711926,
-0.08273258060216904,
-0.0212932750582695,
0.07304125279188156,
-0.0027001218404620886,
-0.04256853833794594,
0.011792712844908237,
-0.09426125884056091,
0.028933260589838028,
-0.046242762356996536,
0.024112077429890633,
0.0556979738175869,
-0.05007116124033928,
0.008425580337643623,
-0.05811745673418045,
-0.06296881288290024,
-6.243555225104053e-33,
0.01580730825662613,
0.04869087412953377,
-0.07107016444206238,
-0.03444629907608032,
-0.05638178065419197,
-0.008923374116420746,
0.029586665332317352,
0.015433333814144135,
0.06764405220746994,
-0.009944001212716103,
0.11213008314371109,
0.02677016705274582,
-0.11764345318078995,
0.03110273741185665,
0.043687738478183746,
0.023994527757167816,
0.01449504867196083,
-0.12153832614421844,
0.012413770891726017,
-0.017724603414535522,
0.09719131141901016,
0.0028490591794252396,
-0.0016082230722531676,
-0.010623203590512276,
0.04166721925139427,
0.08752359449863434,
0.04881499335169792,
0.012924863025546074,
0.06801121681928635,
-0.07904074341058731,
0.026045437902212143,
0.05770517513155937,
0.06312304735183716,
0.03567647933959961,
0.04005200415849686,
-0.024747610092163086,
0.08732686936855316,
-0.01794273778796196,
-0.0399646982550621,
-0.021451596170663834,
0.009303621016442776,
0.10735561698675156,
-0.03609628230333328,
0.03620263189077377,
-0.02143982984125614,
0.033565737307071686,
0.03379000350832939,
-0.06153251230716705,
0.06928976625204086,
0.09734567999839783,
-0.020344426855444908,
-0.0743187740445137,
-0.06681059300899506,
0.06451322138309479,
0.050616294145584106,
-0.025202250108122826,
-0.059073109179735184,
0.11715131998062134,
-0.04295165464282036,
-0.0980246514081955,
0.11339478194713593,
-0.016105927526950836,
0.015221510082483292,
-0.058956027030944824,
-0.05226944759488106,
-0.032063525170087814,
-0.04947682470083237,
0.0964217260479927,
-0.00419875280931592,
0.023324133828282356,
0.0866476520895958,
0.0658746138215065,
0.04587316885590553,
-0.03293909505009651,
-0.026925183832645416,
-0.01481651421636343,
0.003984265029430389,
-0.06025133281946182,
0.036944981664419174,
-0.012056578882038593,
-0.05624992400407791,
-0.0658276155591011,
0.019947469234466553,
0.03167065605521202,
0.09892721474170685,
-0.03088565170764923,
-0.0230193380266428,
-0.02301836386322975,
-0.028337372466921806,
-0.05872080475091934,
-0.031740881502628326,
0.012896526604890823,
0.026723315939307213,
0.003295977134257555,
0.07282176613807678,
-5.5837695356331096e-8,
-0.03062259592115879,
-0.0036712326109409332,
-0.1278245598077774,
-0.014418410137295723,
-0.031006881967186928,
-0.03148962929844856,
0.026881389319896698,
0.05290386453270912,
0.08195630460977554,
-0.07323309034109116,
0.017937859520316124,
-0.008017380721867085,
0.06485126912593842,
-0.011338261887431145,
0.020364899188280106,
-0.03893628343939781,
-0.04892165586352348,
-0.10096956789493561,
0.019438138231635094,
0.019795719534158707,
-0.003015361726284027,
-0.07221289724111557,
-0.013796753250062466,
-0.03767981752753258,
0.029246801510453224,
0.046831320971250534,
0.024039577692747116,
-0.028730953112244606,
0.0385124646127224,
-0.05573587492108345,
-0.08407555520534515,
-0.03791970759630203,
-0.006293890532106161,
-0.018924718722701073,
0.08217404037714005,
0.0012438490521162748,
-0.07897414267063141,
0.030398106202483177,
0.06910984963178635,
0.04845316335558891,
-0.07171443104743958,
-0.09789330512285233,
-0.059462472796440125,
0.017857801169157028,
0.013356494717299938,
-0.025714188814163208,
-0.0010066599352285266,
-0.07058601826429367,
-0.08130206167697906,
0.025327589362859726,
-0.03832796588540077,
0.010842160321772099,
0.010371574200689793,
-0.014538894407451153,
0.03127621114253998,
0.03599429130554199,
0.04349131137132645,
0.014172103255987167,
0.011924603022634983,
0.08319297432899475,
0.0448349304497242,
-0.04204799234867096,
-0.10115738213062286,
0.0019381961319595575
] |
1401.0543 | Amy Fu | Amy Fu and Parastoo Sadeghi and Muriel Medard | Beyond the Min-Cut Bound: Deterministic Network Coding for Asynchronous
Multirate Broadcast | null | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a single hop broadcast packet erasure network, we demonstrate that it is
possible to provide multirate packet delivery outside of what is given by the
network min-cut. This is achieved by using a deterministic non-block-based
network coding scheme, which allows us to sidestep some of the limitations put
in place by the block coding model used to determine the network capacity.
Under the network coding scheme we outline, the sender is able to transmit
network coded packets above the channel rate of some receivers, while ensuring
that they still experience nonzero delivery rates. Interestingly, in this
generalised form of asynchronous network coded broadcast, receivers are not
required to obtain knowledge of all packets transmitted so far. Instead, causal
feedback from the receivers about packet erasures is used by the sender to
determine a network coded transmission that will allow at least one, but often
multiple receivers, to deliver their next needed packet.
Although the analysis of deterministic coding schemes is generally a
difficult problem, by making some approximations we are able to obtain
tractable estimates of the receivers' delivery rates, which are shown to match
reasonably well with simulation. Using these estimates, we design a fairness
algorithm that allocates the sender's resources so all receivers will
experience fair delivery rate performance.
| [
{
"created": "Thu, 2 Jan 2014 21:02:34 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Fu",
"Amy",
""
],
[
"Sadeghi",
"Parastoo",
""
],
[
"Medard",
"Muriel",
""
]
] | [
-0.011709966696798801,
-0.023205509409308434,
-0.017866259440779686,
0.01669437624514103,
0.06443338841199875,
-0.0003643093223217875,
0.04851999133825302,
-0.12924373149871826,
-0.008641255088150501,
0.09968070685863495,
-0.030181018635630608,
0.022649459540843964,
0.03232130780816078,
-0.03725973889231682,
-0.04882396012544632,
-0.018951794132590294,
0.1164243295788765,
0.020021546632051468,
-0.019263703376054764,
-0.059710223227739334,
0.05779798701405525,
0.011806237511336803,
0.016451064497232437,
0.016758939251303673,
0.06802017986774445,
-0.06830845773220062,
-0.03217360004782677,
-0.007002388592809439,
-0.019926775246858597,
0.00007151954196160659,
0.026616260409355164,
-0.008271152153611183,
0.02510768733918667,
-0.009501977823674679,
0.004493764601647854,
-0.013975444249808788,
-0.060886986553668976,
-0.005343172233551741,
-0.030545303598046303,
0.08191175013780594,
0.01611424796283245,
0.03884643688797951,
-0.04180414602160454,
0.05644954368472099,
-0.06005790829658508,
-0.03320341184735298,
0.02427457459270954,
0.04904523491859436,
-0.05973539873957634,
-0.07236720621585846,
0.07487756013870239,
0.08229905366897583,
0.01704428344964981,
0.0026861068326979876,
0.05341416597366333,
-0.13112682104110718,
-0.0378541573882103,
-0.011135225184261799,
-0.08771950006484985,
0.06731849908828735,
-0.03579254448413849,
-0.034726087003946304,
-0.03076619654893875,
-0.009778855368494987,
0.054366763681173325,
0.021495282649993896,
0.0011054790811613202,
0.11656609922647476,
-0.06727641075849533,
0.02393963374197483,
0.003083593212068081,
-0.03730471432209015,
-0.03416694328188896,
0.08804168552160263,
0.08624473959207535,
-0.050715554505586624,
0.07295750081539154,
0.07482484728097916,
-0.05250924825668335,
0.05209430679678917,
-0.00819743238389492,
-0.006610965821892023,
-0.008130161091685295,
0.0036086877807974815,
-0.05334944650530815,
-0.020440248772501945,
0.0050618331879377365,
0.10111936181783676,
0.05126260593533516,
0.022789297625422478,
-0.06728550046682358,
0.04923361539840698,
0.00879580620676279,
0.08951029926538467,
0.01712530106306076,
0.007019054144620895,
-0.04219643026590347,
0.011080164462327957,
-0.02157842181622982,
0.07183657586574554,
-0.002566673792898655,
-0.03718787804245949,
0.009579201228916645,
-0.07199005782604218,
0.03840581700205803,
0.03395092114806175,
0.04125417396426201,
0.05980387702584267,
0.01569989137351513,
0.0726495161652565,
-0.026323307305574417,
0.060560330748558044,
-0.05315348878502846,
0.012453817762434483,
0.013627640902996063,
0.04769938439130783,
-0.008187908679246902,
0.02260989509522915,
0.021490857005119324,
-0.002955701434984803,
-0.01013233233243227,
-0.05025697872042656,
0.057166941463947296,
-0.04995129257440567,
0.009817646816372871,
0.015409466810524464,
0.046019453555345535,
2.6299685922542362e-33,
-0.012686875648796558,
-0.000038230500649660826,
-0.09544119983911514,
-0.022723855450749397,
0.06279885023832321,
0.0014860896626487374,
0.05231631174683571,
-0.0004209828330203891,
0.029010087251663208,
-0.027872970327734947,
-0.02886969968676567,
-0.026924559846520424,
0.0006042823661118746,
0.0253481175750494,
-0.047967128455638885,
-0.007476596627384424,
-0.023858297616243362,
0.03324500843882561,
0.06621074676513672,
-0.012805214151740074,
0.036633383482694626,
-0.06282197684049606,
-0.06885158270597458,
-0.02727394364774227,
-0.02274739183485508,
-0.044733863323926926,
-0.03832496330142021,
-0.046563003212213516,
0.033691614866256714,
0.03055761568248272,
-0.03243325650691986,
-0.0015732980100437999,
0.043694548308849335,
-0.04202642664313316,
-0.00941625889390707,
0.012218180112540722,
-0.049409590661525726,
-0.0257814209908247,
-0.028438283130526543,
0.012683621607720852,
0.027425548061728477,
-0.028634151443839073,
-0.03253556787967682,
-0.04675748944282532,
-0.03716209530830383,
-0.1429542899131775,
-0.029420724138617516,
0.0007364794728346169,
-0.15404681861400604,
0.03637004643678665,
0.15264113247394562,
-0.01018813718110323,
0.05677873641252518,
-0.05038411542773247,
0.02034394070506096,
-0.01069478690624237,
0.03452834114432335,
-0.03385063260793686,
0.0644611045718193,
0.181974396109581,
-0.008685256354510784,
-0.045234065502882004,
-0.008371966890990734,
-0.09106359630823135,
0.06713470071554184,
0.08466791361570358,
-0.06305421888828278,
-0.011716984212398529,
0.04711291566491127,
-0.049756065011024475,
-0.002381556201726198,
-0.011993933469057083,
-0.019746307283639908,
0.05697512999176979,
-0.026614965870976448,
0.037046682089567184,
0.03732570260763168,
-0.021348953247070312,
0.02334974892437458,
0.008994016796350479,
-0.012175888754427433,
-0.020733699202537537,
-0.05386510118842125,
0.006774984300136566,
-0.012820983305573463,
-0.009378792718052864,
0.007652257103472948,
0.022327549755573273,
-0.06321375072002411,
0.05937545746564865,
-0.11446326225996017,
-0.04943345487117767,
0.0013641993282362819,
-0.04628543183207512,
0.07251780480146408,
-3.815922087733957e-33,
0.0009634746238589287,
0.11557713896036148,
-0.06093830242753029,
0.07346700131893158,
-0.004775869660079479,
-0.08232853561639786,
0.012973785400390625,
0.019990283995866776,
0.011005159467458725,
0.023246554657816887,
-0.06986643373966217,
-0.03881138935685158,
0.024322018027305603,
0.041653603315353394,
0.0521831177175045,
-0.03611312061548233,
0.03533682972192764,
0.022931430488824844,
-0.02200181595981121,
0.02580934762954712,
0.00352109526284039,
0.07169294357299805,
-0.0713861882686615,
-0.06142822653055191,
0.023159118369221687,
0.000355973606929183,
-0.014467000029981136,
0.09551677852869034,
-0.007327707018703222,
-0.023158429190516472,
0.06498343497514725,
-0.10719182342290878,
-0.016655333340168,
-0.09109819680452347,
0.09081324189901352,
0.04585319384932518,
0.06009026989340782,
0.12268982082605362,
-0.042408525943756104,
0.054174598306417465,
0.01720290817320347,
-0.034890610724687576,
-0.028889404609799385,
0.06802930682897568,
0.0433284230530262,
-0.017503604292869568,
-0.0471884086728096,
0.02432822436094284,
0.024814391508698463,
-0.03501250594854355,
0.011298302561044693,
-0.019916053861379623,
0.06209520250558853,
0.0710795521736145,
0.010198629461228848,
0.005497753620147705,
-0.006219151895493269,
0.03302545100450516,
0.09943059831857681,
0.00937102921307087,
0.024316726252436638,
-0.10575919598340988,
-0.04080137610435486,
0.00023096153745427728,
0.07065019011497498,
-0.16049543023109436,
0.04777934402227402,
-0.05276468023657799,
-0.08843687176704407,
0.009824985638260841,
0.06572094559669495,
0.06374548375606537,
-0.036467764526605606,
-0.004906566813588142,
0.009962903335690498,
0.0476192943751812,
0.029480082914233208,
0.07111787796020508,
-0.03547315299510956,
0.04217346012592316,
-0.1080523207783699,
0.04919358715415001,
-0.055952634662389755,
-0.04818911850452423,
0.031842757016420364,
-0.0066243791952729225,
0.09430520236492157,
-0.09710456430912018,
0.004428532440215349,
-0.06725791841745377,
-0.026124652475118637,
0.025841373950242996,
-0.02006721682846546,
0.0033815321512520313,
-0.05847923830151558,
-5.147585113718378e-8,
-0.065751813352108,
-0.015295716002583504,
-0.03901622071862221,
-0.030444739386439323,
0.014524114318192005,
0.02534577064216137,
-0.025282341986894608,
-0.06349954754114151,
0.045686595141887665,
-0.04671085625886917,
0.08223289251327515,
0.056812308728694916,
-0.017550691962242126,
0.005997791886329651,
0.018423931673169136,
0.023325344547629356,
-0.08504747599363327,
-0.07858800888061523,
-0.005797086749225855,
0.03739651292562485,
-0.011348199099302292,
-0.014100708067417145,
-0.020116733387112617,
-0.020240074023604393,
-0.030370648950338364,
-0.013776670210063457,
0.13785137236118317,
-0.019302645698189735,
0.011046416126191616,
-0.0108171496540308,
-0.013586890883743763,
0.022791124880313873,
0.0857212096452713,
-0.035544395446777344,
-0.0063089607283473015,
-0.0474199615418911,
-0.032258182764053345,
-0.011437659151852131,
0.022874874994158745,
0.037298254668712616,
0.017910080030560493,
-0.06520470231771469,
0.004969576373696327,
-0.03680465370416641,
0.05334310233592987,
-0.026395009830594063,
0.011196520179510117,
0.057141199707984924,
-0.13268600404262543,
-0.02309272438287735,
0.0270837489515543,
0.01732129044830799,
-0.07698719948530197,
0.030234631150960922,
0.03761540353298187,
-0.035765402019023895,
0.00944526493549347,
-0.11238298565149307,
0.060739412903785706,
0.025769520550966263,
-0.0000292325385089498,
0.11454169452190399,
-0.06622902303934097,
-0.030761264264583588
] | null | null | null | null | null | null | null | [
-0.011709966696798801,
-0.023205509409308434,
-0.017866259440779686,
0.01669437624514103,
0.06443338841199875,
-0.0003643093223217875,
0.04851999133825302,
-0.12924373149871826,
-0.008641255088150501,
0.09968070685863495,
-0.030181018635630608,
0.022649459540843964,
0.03232130780816078,
-0.03725973889231682,
-0.04882396012544632,
-0.018951794132590294,
0.1164243295788765,
0.020021546632051468,
-0.019263703376054764,
-0.059710223227739334,
0.05779798701405525,
0.011806237511336803,
0.016451064497232437,
0.016758939251303673,
0.06802017986774445,
-0.06830845773220062,
-0.03217360004782677,
-0.007002388592809439,
-0.019926775246858597,
0.00007151954196160659,
0.026616260409355164,
-0.008271152153611183,
0.02510768733918667,
-0.009501977823674679,
0.004493764601647854,
-0.013975444249808788,
-0.060886986553668976,
-0.005343172233551741,
-0.030545303598046303,
0.08191175013780594,
0.01611424796283245,
0.03884643688797951,
-0.04180414602160454,
0.05644954368472099,
-0.06005790829658508,
-0.03320341184735298,
0.02427457459270954,
0.04904523491859436,
-0.05973539873957634,
-0.07236720621585846,
0.07487756013870239,
0.08229905366897583,
0.01704428344964981,
0.0026861068326979876,
0.05341416597366333,
-0.13112682104110718,
-0.0378541573882103,
-0.011135225184261799,
-0.08771950006484985,
0.06731849908828735,
-0.03579254448413849,
-0.034726087003946304,
-0.03076619654893875,
-0.009778855368494987,
0.054366763681173325,
0.021495282649993896,
0.0011054790811613202,
0.11656609922647476,
-0.06727641075849533,
0.02393963374197483,
0.003083593212068081,
-0.03730471432209015,
-0.03416694328188896,
0.08804168552160263,
0.08624473959207535,
-0.050715554505586624,
0.07295750081539154,
0.07482484728097916,
-0.05250924825668335,
0.05209430679678917,
-0.00819743238389492,
-0.006610965821892023,
-0.008130161091685295,
0.0036086877807974815,
-0.05334944650530815,
-0.020440248772501945,
0.0050618331879377365,
0.10111936181783676,
0.05126260593533516,
0.022789297625422478,
-0.06728550046682358,
0.04923361539840698,
0.00879580620676279,
0.08951029926538467,
0.01712530106306076,
0.007019054144620895,
-0.04219643026590347,
0.011080164462327957,
-0.02157842181622982,
0.07183657586574554,
-0.002566673792898655,
-0.03718787804245949,
0.009579201228916645,
-0.07199005782604218,
0.03840581700205803,
0.03395092114806175,
0.04125417396426201,
0.05980387702584267,
0.01569989137351513,
0.0726495161652565,
-0.026323307305574417,
0.060560330748558044,
-0.05315348878502846,
0.012453817762434483,
0.013627640902996063,
0.04769938439130783,
-0.008187908679246902,
0.02260989509522915,
0.021490857005119324,
-0.002955701434984803,
-0.01013233233243227,
-0.05025697872042656,
0.057166941463947296,
-0.04995129257440567,
0.009817646816372871,
0.015409466810524464,
0.046019453555345535,
2.6299685922542362e-33,
-0.012686875648796558,
-0.000038230500649660826,
-0.09544119983911514,
-0.022723855450749397,
0.06279885023832321,
0.0014860896626487374,
0.05231631174683571,
-0.0004209828330203891,
0.029010087251663208,
-0.027872970327734947,
-0.02886969968676567,
-0.026924559846520424,
0.0006042823661118746,
0.0253481175750494,
-0.047967128455638885,
-0.007476596627384424,
-0.023858297616243362,
0.03324500843882561,
0.06621074676513672,
-0.012805214151740074,
0.036633383482694626,
-0.06282197684049606,
-0.06885158270597458,
-0.02727394364774227,
-0.02274739183485508,
-0.044733863323926926,
-0.03832496330142021,
-0.046563003212213516,
0.033691614866256714,
0.03055761568248272,
-0.03243325650691986,
-0.0015732980100437999,
0.043694548308849335,
-0.04202642664313316,
-0.00941625889390707,
0.012218180112540722,
-0.049409590661525726,
-0.0257814209908247,
-0.028438283130526543,
0.012683621607720852,
0.027425548061728477,
-0.028634151443839073,
-0.03253556787967682,
-0.04675748944282532,
-0.03716209530830383,
-0.1429542899131775,
-0.029420724138617516,
0.0007364794728346169,
-0.15404681861400604,
0.03637004643678665,
0.15264113247394562,
-0.01018813718110323,
0.05677873641252518,
-0.05038411542773247,
0.02034394070506096,
-0.01069478690624237,
0.03452834114432335,
-0.03385063260793686,
0.0644611045718193,
0.181974396109581,
-0.008685256354510784,
-0.045234065502882004,
-0.008371966890990734,
-0.09106359630823135,
0.06713470071554184,
0.08466791361570358,
-0.06305421888828278,
-0.011716984212398529,
0.04711291566491127,
-0.049756065011024475,
-0.002381556201726198,
-0.011993933469057083,
-0.019746307283639908,
0.05697512999176979,
-0.026614965870976448,
0.037046682089567184,
0.03732570260763168,
-0.021348953247070312,
0.02334974892437458,
0.008994016796350479,
-0.012175888754427433,
-0.020733699202537537,
-0.05386510118842125,
0.006774984300136566,
-0.012820983305573463,
-0.009378792718052864,
0.007652257103472948,
0.022327549755573273,
-0.06321375072002411,
0.05937545746564865,
-0.11446326225996017,
-0.04943345487117767,
0.0013641993282362819,
-0.04628543183207512,
0.07251780480146408,
-3.815922087733957e-33,
0.0009634746238589287,
0.11557713896036148,
-0.06093830242753029,
0.07346700131893158,
-0.004775869660079479,
-0.08232853561639786,
0.012973785400390625,
0.019990283995866776,
0.011005159467458725,
0.023246554657816887,
-0.06986643373966217,
-0.03881138935685158,
0.024322018027305603,
0.041653603315353394,
0.0521831177175045,
-0.03611312061548233,
0.03533682972192764,
0.022931430488824844,
-0.02200181595981121,
0.02580934762954712,
0.00352109526284039,
0.07169294357299805,
-0.0713861882686615,
-0.06142822653055191,
0.023159118369221687,
0.000355973606929183,
-0.014467000029981136,
0.09551677852869034,
-0.007327707018703222,
-0.023158429190516472,
0.06498343497514725,
-0.10719182342290878,
-0.016655333340168,
-0.09109819680452347,
0.09081324189901352,
0.04585319384932518,
0.06009026989340782,
0.12268982082605362,
-0.042408525943756104,
0.054174598306417465,
0.01720290817320347,
-0.034890610724687576,
-0.028889404609799385,
0.06802930682897568,
0.0433284230530262,
-0.017503604292869568,
-0.0471884086728096,
0.02432822436094284,
0.024814391508698463,
-0.03501250594854355,
0.011298302561044693,
-0.019916053861379623,
0.06209520250558853,
0.0710795521736145,
0.010198629461228848,
0.005497753620147705,
-0.006219151895493269,
0.03302545100450516,
0.09943059831857681,
0.00937102921307087,
0.024316726252436638,
-0.10575919598340988,
-0.04080137610435486,
0.00023096153745427728,
0.07065019011497498,
-0.16049543023109436,
0.04777934402227402,
-0.05276468023657799,
-0.08843687176704407,
0.009824985638260841,
0.06572094559669495,
0.06374548375606537,
-0.036467764526605606,
-0.004906566813588142,
0.009962903335690498,
0.0476192943751812,
0.029480082914233208,
0.07111787796020508,
-0.03547315299510956,
0.04217346012592316,
-0.1080523207783699,
0.04919358715415001,
-0.055952634662389755,
-0.04818911850452423,
0.031842757016420364,
-0.0066243791952729225,
0.09430520236492157,
-0.09710456430912018,
0.004428532440215349,
-0.06725791841745377,
-0.026124652475118637,
0.025841373950242996,
-0.02006721682846546,
0.0033815321512520313,
-0.05847923830151558,
-5.147585113718378e-8,
-0.065751813352108,
-0.015295716002583504,
-0.03901622071862221,
-0.030444739386439323,
0.014524114318192005,
0.02534577064216137,
-0.025282341986894608,
-0.06349954754114151,
0.045686595141887665,
-0.04671085625886917,
0.08223289251327515,
0.056812308728694916,
-0.017550691962242126,
0.005997791886329651,
0.018423931673169136,
0.023325344547629356,
-0.08504747599363327,
-0.07858800888061523,
-0.005797086749225855,
0.03739651292562485,
-0.011348199099302292,
-0.014100708067417145,
-0.020116733387112617,
-0.020240074023604393,
-0.030370648950338364,
-0.013776670210063457,
0.13785137236118317,
-0.019302645698189735,
0.011046416126191616,
-0.0108171496540308,
-0.013586890883743763,
0.022791124880313873,
0.0857212096452713,
-0.035544395446777344,
-0.0063089607283473015,
-0.0474199615418911,
-0.032258182764053345,
-0.011437659151852131,
0.022874874994158745,
0.037298254668712616,
0.017910080030560493,
-0.06520470231771469,
0.004969576373696327,
-0.03680465370416641,
0.05334310233592987,
-0.026395009830594063,
0.011196520179510117,
0.057141199707984924,
-0.13268600404262543,
-0.02309272438287735,
0.0270837489515543,
0.01732129044830799,
-0.07698719948530197,
0.030234631150960922,
0.03761540353298187,
-0.035765402019023895,
0.00944526493549347,
-0.11238298565149307,
0.060739412903785706,
0.025769520550966263,
-0.0000292325385089498,
0.11454169452190399,
-0.06622902303934097,
-0.030761264264583588
] |
1401.0546 | Muhammad Omer Bin Saeed | Muhammad Saqib Sohail, Muhammad Omer Bin Saeed, Syed Zeeshan Rizvi,
Mobien Shoaib and Asrar Ul Haq Sheikh | Low-Complexity Particle Swarm Optimization for Time-Critical
Applications | 24 pages, 1 figure | null | null | null | cs.NE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Particle swam optimization (PSO) is a popular stochastic optimization method
that has found wide applications in diverse fields. However, PSO suffers from
high computational complexity and slow convergence speed. High computational
complexity hinders its use in applications that have limited power resources
while slow convergence speed makes it unsuitable for time critical
applications. In this paper, we propose two techniques to overcome these
limitations. The first technique reduces the computational complexity of PSO
while the second technique speeds up its convergence. These techniques can be
applied, either separately or in conjunction, to any existing PSO variant. The
proposed techniques are robust to the number of dimensions of the optimization
problem. Simulation results are presented for the proposed techniques applied
to the standard PSO as well as to several PSO variants. The results show that
the use of both these techniques in conjunction results in a reduction in the
number of computations required as well as faster convergence speed while
maintaining an acceptable error performance for time-critical applications.
| [
{
"created": "Thu, 2 Jan 2014 21:09:55 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Sohail",
"Muhammad Saqib",
""
],
[
"Saeed",
"Muhammad Omer Bin",
""
],
[
"Rizvi",
"Syed Zeeshan",
""
],
[
"Shoaib",
"Mobien",
""
],
[
"Sheikh",
"Asrar Ul Haq",
""
]
] | [
-0.01672757789492607,
0.04553960636258125,
-0.006180092226713896,
0.0487494021654129,
-0.028013264760375023,
-0.07339140772819519,
-0.018421603366732597,
-0.016903923824429512,
-0.04893010854721069,
-0.019761791452765465,
-0.047634515911340714,
0.019659312441945076,
-0.04356445372104645,
-0.03628825396299362,
0.02968616969883442,
0.004399206954985857,
0.0846375823020935,
0.049124930053949356,
-0.002062692306935787,
-0.060959529131650925,
0.014535807073116302,
-0.007052034139633179,
-0.011091363616287708,
0.006614794488996267,
-0.00758851645514369,
-0.021853802725672722,
-0.005080379080027342,
0.011798262596130371,
-0.020181676372885704,
0.04685452580451965,
0.056211575865745544,
-0.008156761527061462,
-0.02226366475224495,
-0.04939800128340721,
0.010363521985709667,
0.06557587534189224,
-0.08961623907089233,
0.008143715560436249,
0.023365313187241554,
-0.011954245157539845,
-0.02408479154109955,
0.019852962344884872,
-0.004494670312851667,
0.012998675927519798,
0.049131158739328384,
0.014112168923020363,
0.024050850421190262,
-0.009817618876695633,
0.06863774359226227,
-0.03706149384379387,
0.0009134163265116513,
-0.05123632028698921,
-0.06982491165399551,
0.013101289980113506,
-0.0332072377204895,
0.021291367709636688,
0.043144695460796356,
-0.03303637355566025,
0.024555033072829247,
-0.04754134267568588,
-0.050013791769742966,
-0.16828453540802002,
0.05662917345762253,
-0.02815338782966137,
0.06342888623476028,
-0.05556775629520416,
0.06336020678281784,
-0.004888048395514488,
0.06881657242774963,
0.019098758697509766,
-0.005714022554457188,
0.10182306170463562,
0.009992110542953014,
0.0385340079665184,
-0.06234915181994438,
0.024141347035765648,
-0.03044399991631508,
0.029592135921120644,
0.020934490486979485,
-0.032748084515333176,
0.020893732085824013,
0.027790440246462822,
-0.03520241379737854,
-0.049689825624227524,
0.004620063584297895,
0.1365332156419754,
-0.009807138703763485,
-0.019544852897524834,
0.12847134470939636,
-0.03441754728555679,
0.008525008335709572,
0.022865794599056244,
0.019152410328388214,
-0.0077796028926968575,
0.02390178106725216,
-0.043048661202192307,
0.008167194202542305,
0.048435479402542114,
0.04057573527097702,
0.017951831221580505,
0.020530907437205315,
0.010018306784331799,
0.051726482808589935,
-0.03216904401779175,
0.07396013289690018,
-0.08453816175460815,
0.03014739602804184,
0.03720493242144585,
0.032045990228652954,
-0.03885754197835922,
0.03150727599859238,
0.02038578875362873,
0.016771474853157997,
0.023632505908608437,
-0.002876546001061797,
0.0822799801826477,
-0.010827107354998589,
-0.09806272387504578,
0.002933058189228177,
0.11602747440338135,
-0.013782222755253315,
-0.04581534489989281,
-0.06596213579177856,
-0.008332226425409317,
-0.013694960623979568,
0.021739425137639046,
-0.0144688431173563,
4.398326641320614e-33,
-0.09285061061382294,
0.004626619163900614,
0.06680537760257721,
-0.08533795922994614,
0.006044391542673111,
0.03555048257112503,
0.01826275885105133,
-0.023327482864260674,
-0.02571522817015648,
0.017600197345018387,
-0.01803511194884777,
-0.051283858716487885,
-0.04418230801820755,
-0.019229844212532043,
0.11000261455774307,
-0.09431108832359314,
0.05799509584903717,
0.1080656573176384,
0.035319335758686066,
-0.06697289645671844,
0.10671838372945786,
-0.05324670672416687,
-0.03355827555060387,
-0.0309307724237442,
0.045078277587890625,
0.015674449503421783,
0.07616014778614044,
-0.07239128649234772,
-0.020565062761306763,
0.0340399444103241,
-0.00813251081854105,
0.026711860671639442,
0.0006863193120807409,
0.09980997443199158,
0.027208035811781883,
-0.05585755407810211,
0.00003685345291160047,
-0.017472729086875916,
0.03751562908291817,
0.05740870162844658,
0.010217094793915749,
-0.01663295552134514,
0.04643625766038895,
-0.021294884383678436,
-0.11825679242610931,
-0.10793771594762802,
0.015286196954548359,
-0.01815115474164486,
-0.0038497974164783955,
-0.002429097890853882,
0.0120406374335289,
-0.012421032413840294,
-0.0008651568787172437,
0.01831674762070179,
0.08253052085638046,
-0.04203987494111061,
0.0523713082075119,
-0.023849083110690117,
-0.006001709960401058,
0.06013667955994606,
-0.0605047270655632,
0.005606014281511307,
-0.051696863025426865,
-0.025271203368902206,
0.06263968348503113,
0.058088213205337524,
0.025988608598709106,
0.028420530259609222,
0.012940727174282074,
0.009472410194575787,
0.015830950811505318,
-0.02157340757548809,
-0.056870121508836746,
-0.07071217894554138,
0.015788031741976738,
-0.04874498397111893,
0.11476118862628937,
0.045786865055561066,
-0.12798024713993073,
-0.011817248538136482,
-0.10362014919519424,
0.06651367992162704,
-0.07232384383678436,
0.018602851778268814,
-0.02525847963988781,
-0.08467883616685867,
0.024963198229670525,
0.03065386600792408,
-0.08024903386831284,
-0.06941528618335724,
-0.07843679934740067,
0.03814593330025673,
0.06780408322811127,
-0.003393061924725771,
-0.059190139174461365,
-6.594433676668783e-33,
-0.07350427657365799,
-0.0362042598426342,
0.011947176419198513,
0.0548965148627758,
0.09229172766208649,
-0.015187973156571388,
-0.05576058104634285,
-0.1252962350845337,
0.008348753675818443,
-0.026163896545767784,
-0.09322737157344818,
-0.0047867922112345695,
0.009862005710601807,
0.008895334787666798,
0.0609036386013031,
0.08492816239595413,
-0.007486342918127775,
-0.015841586515307426,
0.05332258716225624,
-0.01908043585717678,
0.031032424420118332,
0.05822420492768288,
0.05713430047035217,
-0.020170841366052628,
0.04267514869570732,
-0.06516771763563156,
-0.0064027560874819756,
-0.021114151924848557,
0.0663393959403038,
-0.017195293679833412,
-0.09724153578281403,
0.030079785734415054,
-0.04250780865550041,
0.08902986347675323,
-0.05294147878885269,
0.020908594131469727,
0.02780335396528244,
0.06573996692895889,
0.13016757369041443,
-0.005660781171172857,
0.048581480979919434,
0.011260717175900936,
0.03256160393357277,
-0.11308830231428146,
-0.015190014615654945,
0.04436787590384483,
-0.010622884146869183,
0.010631777346134186,
0.028591511771082878,
0.05074547976255417,
-0.024984898045659065,
-0.06737165153026581,
0.025847433134913445,
0.029032625257968903,
0.009281083941459656,
-0.03469359129667282,
-0.020464399829506874,
0.009210674092173576,
0.0005354963941499591,
-0.08503633737564087,
0.007198929786682129,
-0.05286206305027008,
0.042844612151384354,
0.05659805238246918,
-0.07750453799962997,
-0.014010974206030369,
-0.023547735065221786,
-0.03179696202278137,
-0.04712153598666191,
-0.06152152270078659,
-0.03674263507127762,
0.06409791857004166,
0.016750508919358253,
0.04860839620232582,
-0.11591070890426636,
-0.08695535361766815,
0.028977565467357635,
0.05591388791799545,
0.02462065778672695,
-0.02173650823533535,
-0.016475936397910118,
0.12461934983730316,
-0.016310488805174828,
-0.025366436690092087,
0.0013703920412808657,
0.03927343338727951,
0.013244562782347202,
0.0017012967728078365,
0.07853130996227264,
-0.05873009189963341,
0.006868137512356043,
-0.029175829142332077,
0.10745130479335785,
0.042601652443408966,
-0.0661340281367302,
-5.3939665178859286e-8,
0.03147640824317932,
-0.046008605509996414,
0.04568738862872124,
-0.03533419966697693,
0.13702130317687988,
-0.04259157180786133,
-0.021418368443846703,
0.017612503841519356,
0.04780931770801544,
-0.09232970327138901,
0.0926419124007225,
-0.051361456513404846,
0.05858451873064041,
-0.018069682642817497,
-0.05258387327194214,
-0.059808969497680664,
-0.07337672263383865,
-0.08366578072309494,
0.0013787602074444294,
-0.006850705947726965,
-0.07645340263843536,
0.01909785531461239,
-0.027066076174378395,
0.07012015581130981,
0.020957842469215393,
-0.007514695171266794,
0.04564378410577774,
-0.14030233025550842,
0.03288433700799942,
-0.06820487976074219,
-0.10005085170269012,
-0.014149087481200695,
-0.03746898099780083,
0.06594134122133255,
-0.029441161081194878,
0.017386743798851967,
0.030436037108302116,
0.07415928691625595,
-0.0328398235142231,
0.0027098197024315596,
0.04763736575841904,
0.036731112748384476,
-0.0021714933682233095,
-0.006107131950557232,
0.01776682399213314,
-0.0047208406031131744,
0.04741862043738365,
-0.09561800211668015,
0.0021805327851325274,
-0.009541378356516361,
-0.030722828581929207,
0.07392928749322891,
-0.04717393219470978,
-0.028965966776013374,
0.018177391961216927,
0.05807130038738251,
-0.017324181273579597,
-0.1199362725019455,
-0.015987040475010872,
0.04092184081673622,
0.03443469479680061,
0.008908353745937347,
-0.040745023638010025,
0.011669913306832314
] | null | null | null | null | null | null | null | [
-0.01672757789492607,
0.04553960636258125,
-0.006180092226713896,
0.0487494021654129,
-0.028013264760375023,
-0.07339140772819519,
-0.018421603366732597,
-0.016903923824429512,
-0.04893010854721069,
-0.019761791452765465,
-0.047634515911340714,
0.019659312441945076,
-0.04356445372104645,
-0.03628825396299362,
0.02968616969883442,
0.004399206954985857,
0.0846375823020935,
0.049124930053949356,
-0.002062692306935787,
-0.060959529131650925,
0.014535807073116302,
-0.007052034139633179,
-0.011091363616287708,
0.006614794488996267,
-0.00758851645514369,
-0.021853802725672722,
-0.005080379080027342,
0.011798262596130371,
-0.020181676372885704,
0.04685452580451965,
0.056211575865745544,
-0.008156761527061462,
-0.02226366475224495,
-0.04939800128340721,
0.010363521985709667,
0.06557587534189224,
-0.08961623907089233,
0.008143715560436249,
0.023365313187241554,
-0.011954245157539845,
-0.02408479154109955,
0.019852962344884872,
-0.004494670312851667,
0.012998675927519798,
0.049131158739328384,
0.014112168923020363,
0.024050850421190262,
-0.009817618876695633,
0.06863774359226227,
-0.03706149384379387,
0.0009134163265116513,
-0.05123632028698921,
-0.06982491165399551,
0.013101289980113506,
-0.0332072377204895,
0.021291367709636688,
0.043144695460796356,
-0.03303637355566025,
0.024555033072829247,
-0.04754134267568588,
-0.050013791769742966,
-0.16828453540802002,
0.05662917345762253,
-0.02815338782966137,
0.06342888623476028,
-0.05556775629520416,
0.06336020678281784,
-0.004888048395514488,
0.06881657242774963,
0.019098758697509766,
-0.005714022554457188,
0.10182306170463562,
0.009992110542953014,
0.0385340079665184,
-0.06234915181994438,
0.024141347035765648,
-0.03044399991631508,
0.029592135921120644,
0.020934490486979485,
-0.032748084515333176,
0.020893732085824013,
0.027790440246462822,
-0.03520241379737854,
-0.049689825624227524,
0.004620063584297895,
0.1365332156419754,
-0.009807138703763485,
-0.019544852897524834,
0.12847134470939636,
-0.03441754728555679,
0.008525008335709572,
0.022865794599056244,
0.019152410328388214,
-0.0077796028926968575,
0.02390178106725216,
-0.043048661202192307,
0.008167194202542305,
0.048435479402542114,
0.04057573527097702,
0.017951831221580505,
0.020530907437205315,
0.010018306784331799,
0.051726482808589935,
-0.03216904401779175,
0.07396013289690018,
-0.08453816175460815,
0.03014739602804184,
0.03720493242144585,
0.032045990228652954,
-0.03885754197835922,
0.03150727599859238,
0.02038578875362873,
0.016771474853157997,
0.023632505908608437,
-0.002876546001061797,
0.0822799801826477,
-0.010827107354998589,
-0.09806272387504578,
0.002933058189228177,
0.11602747440338135,
-0.013782222755253315,
-0.04581534489989281,
-0.06596213579177856,
-0.008332226425409317,
-0.013694960623979568,
0.021739425137639046,
-0.0144688431173563,
4.398326641320614e-33,
-0.09285061061382294,
0.004626619163900614,
0.06680537760257721,
-0.08533795922994614,
0.006044391542673111,
0.03555048257112503,
0.01826275885105133,
-0.023327482864260674,
-0.02571522817015648,
0.017600197345018387,
-0.01803511194884777,
-0.051283858716487885,
-0.04418230801820755,
-0.019229844212532043,
0.11000261455774307,
-0.09431108832359314,
0.05799509584903717,
0.1080656573176384,
0.035319335758686066,
-0.06697289645671844,
0.10671838372945786,
-0.05324670672416687,
-0.03355827555060387,
-0.0309307724237442,
0.045078277587890625,
0.015674449503421783,
0.07616014778614044,
-0.07239128649234772,
-0.020565062761306763,
0.0340399444103241,
-0.00813251081854105,
0.026711860671639442,
0.0006863193120807409,
0.09980997443199158,
0.027208035811781883,
-0.05585755407810211,
0.00003685345291160047,
-0.017472729086875916,
0.03751562908291817,
0.05740870162844658,
0.010217094793915749,
-0.01663295552134514,
0.04643625766038895,
-0.021294884383678436,
-0.11825679242610931,
-0.10793771594762802,
0.015286196954548359,
-0.01815115474164486,
-0.0038497974164783955,
-0.002429097890853882,
0.0120406374335289,
-0.012421032413840294,
-0.0008651568787172437,
0.01831674762070179,
0.08253052085638046,
-0.04203987494111061,
0.0523713082075119,
-0.023849083110690117,
-0.006001709960401058,
0.06013667955994606,
-0.0605047270655632,
0.005606014281511307,
-0.051696863025426865,
-0.025271203368902206,
0.06263968348503113,
0.058088213205337524,
0.025988608598709106,
0.028420530259609222,
0.012940727174282074,
0.009472410194575787,
0.015830950811505318,
-0.02157340757548809,
-0.056870121508836746,
-0.07071217894554138,
0.015788031741976738,
-0.04874498397111893,
0.11476118862628937,
0.045786865055561066,
-0.12798024713993073,
-0.011817248538136482,
-0.10362014919519424,
0.06651367992162704,
-0.07232384383678436,
0.018602851778268814,
-0.02525847963988781,
-0.08467883616685867,
0.024963198229670525,
0.03065386600792408,
-0.08024903386831284,
-0.06941528618335724,
-0.07843679934740067,
0.03814593330025673,
0.06780408322811127,
-0.003393061924725771,
-0.059190139174461365,
-6.594433676668783e-33,
-0.07350427657365799,
-0.0362042598426342,
0.011947176419198513,
0.0548965148627758,
0.09229172766208649,
-0.015187973156571388,
-0.05576058104634285,
-0.1252962350845337,
0.008348753675818443,
-0.026163896545767784,
-0.09322737157344818,
-0.0047867922112345695,
0.009862005710601807,
0.008895334787666798,
0.0609036386013031,
0.08492816239595413,
-0.007486342918127775,
-0.015841586515307426,
0.05332258716225624,
-0.01908043585717678,
0.031032424420118332,
0.05822420492768288,
0.05713430047035217,
-0.020170841366052628,
0.04267514869570732,
-0.06516771763563156,
-0.0064027560874819756,
-0.021114151924848557,
0.0663393959403038,
-0.017195293679833412,
-0.09724153578281403,
0.030079785734415054,
-0.04250780865550041,
0.08902986347675323,
-0.05294147878885269,
0.020908594131469727,
0.02780335396528244,
0.06573996692895889,
0.13016757369041443,
-0.005660781171172857,
0.048581480979919434,
0.011260717175900936,
0.03256160393357277,
-0.11308830231428146,
-0.015190014615654945,
0.04436787590384483,
-0.010622884146869183,
0.010631777346134186,
0.028591511771082878,
0.05074547976255417,
-0.024984898045659065,
-0.06737165153026581,
0.025847433134913445,
0.029032625257968903,
0.009281083941459656,
-0.03469359129667282,
-0.020464399829506874,
0.009210674092173576,
0.0005354963941499591,
-0.08503633737564087,
0.007198929786682129,
-0.05286206305027008,
0.042844612151384354,
0.05659805238246918,
-0.07750453799962997,
-0.014010974206030369,
-0.023547735065221786,
-0.03179696202278137,
-0.04712153598666191,
-0.06152152270078659,
-0.03674263507127762,
0.06409791857004166,
0.016750508919358253,
0.04860839620232582,
-0.11591070890426636,
-0.08695535361766815,
0.028977565467357635,
0.05591388791799545,
0.02462065778672695,
-0.02173650823533535,
-0.016475936397910118,
0.12461934983730316,
-0.016310488805174828,
-0.025366436690092087,
0.0013703920412808657,
0.03927343338727951,
0.013244562782347202,
0.0017012967728078365,
0.07853130996227264,
-0.05873009189963341,
0.006868137512356043,
-0.029175829142332077,
0.10745130479335785,
0.042601652443408966,
-0.0661340281367302,
-5.3939665178859286e-8,
0.03147640824317932,
-0.046008605509996414,
0.04568738862872124,
-0.03533419966697693,
0.13702130317687988,
-0.04259157180786133,
-0.021418368443846703,
0.017612503841519356,
0.04780931770801544,
-0.09232970327138901,
0.0926419124007225,
-0.051361456513404846,
0.05858451873064041,
-0.018069682642817497,
-0.05258387327194214,
-0.059808969497680664,
-0.07337672263383865,
-0.08366578072309494,
0.0013787602074444294,
-0.006850705947726965,
-0.07645340263843536,
0.01909785531461239,
-0.027066076174378395,
0.07012015581130981,
0.020957842469215393,
-0.007514695171266794,
0.04564378410577774,
-0.14030233025550842,
0.03288433700799942,
-0.06820487976074219,
-0.10005085170269012,
-0.014149087481200695,
-0.03746898099780083,
0.06594134122133255,
-0.029441161081194878,
0.017386743798851967,
0.030436037108302116,
0.07415928691625595,
-0.0328398235142231,
0.0027098197024315596,
0.04763736575841904,
0.036731112748384476,
-0.0021714933682233095,
-0.006107131950557232,
0.01776682399213314,
-0.0047208406031131744,
0.04741862043738365,
-0.09561800211668015,
0.0021805327851325274,
-0.009541378356516361,
-0.030722828581929207,
0.07392928749322891,
-0.04717393219470978,
-0.028965966776013374,
0.018177391961216927,
0.05807130038738251,
-0.017324181273579597,
-0.1199362725019455,
-0.015987040475010872,
0.04092184081673622,
0.03443469479680061,
0.008908353745937347,
-0.040745023638010025,
0.011669913306832314
] |
1401.0550 | Valeriy Etkin | V. A. Etkin | Methodological principles of modern thermodynamics | 17 pages, 2 figures | null | null | null | physics.gen-ph | http://creativecommons.org/licenses/by/3.0/ | The article describes basic principles of the theory which unites
thermodynamics of reversible and irreversible processes also extends them
methods on processes of transfer and transformation of any forms of energy
| [
{
"created": "Thu, 2 Jan 2014 21:45:34 GMT",
"version": "v1"
}
] | 2014-02-10 | [
[
"Etkin",
"V. A.",
""
]
] | [
-0.12844526767730713,
0.0006179701304063201,
-0.017567170783877373,
0.07282212376594543,
-0.004138196352869272,
0.0038760320749133825,
0.04107310250401497,
-0.008697064593434334,
0.05107772350311279,
0.03285517916083336,
-0.041473887860774994,
0.04025048762559891,
-0.016700120642781258,
-0.061822518706321716,
-0.01239989884197712,
-0.10690119862556458,
-0.033903818577528,
0.07535797357559204,
-0.05301762744784355,
0.022739512845873833,
0.049561768770217896,
-0.038180019706487656,
-0.09643727540969849,
-0.004665246233344078,
0.06289565563201904,
0.05690061300992966,
-0.013488308526575565,
0.0532173253595829,
-0.00015576153236906976,
-0.040859535336494446,
-0.037446483969688416,
-0.04766058176755905,
-0.11396342515945435,
0.015816669911146164,
0.004536385647952557,
0.14479394257068634,
0.0008171862573362887,
-0.03561991825699806,
-0.0023716215509921312,
0.04960747808218002,
-0.026061903685331345,
-0.024678267538547516,
-0.0003864003228954971,
0.0014910278841853142,
0.014141801744699478,
0.03462570160627365,
-0.0029930451419204473,
-0.05745483934879303,
-0.04022296145558357,
-0.04179968684911728,
0.06488535553216934,
0.0745677649974823,
-0.04277775064110756,
0.11606046557426453,
0.009907646104693413,
0.03969166800379753,
0.06155012547969818,
-0.054017163813114166,
-0.023735295981168747,
-0.048125363886356354,
0.006528216414153576,
0.05474085733294487,
-0.055420346558094025,
0.01075764186680317,
0.032143235206604004,
-0.04613259807229042,
0.046560849994421005,
0.040568869560956955,
-0.0008329492411576211,
-0.018619302660226822,
-0.036152034997940063,
-0.016722939908504486,
-0.07701629400253296,
-0.08192835003137589,
0.07362322509288788,
-0.09092878550291061,
-0.007091338746249676,
0.11967930942773819,
-0.04076478257775307,
0.04414189234375954,
0.04071821644902229,
-0.03232782334089279,
0.021692780777812004,
-0.08304600417613983,
-0.01610226184129715,
0.04719356447458267,
-0.05747309327125549,
-0.05469604954123497,
0.10069303214550018,
-0.01941630244255066,
-0.09524139016866684,
-0.0013818094739690423,
0.0381634421646595,
-0.02419186197221279,
0.09106616675853729,
-0.003132245037704706,
-0.01351037435233593,
-0.03985026851296425,
0.11304005980491638,
-0.04424211010336876,
-0.014176790602505207,
-0.008475287817418575,
0.022911157459020615,
0.012229238636791706,
0.04032687842845917,
-0.018609050661325455,
-0.01944548264145851,
0.02502371184527874,
-0.004569436889141798,
0.013362409546971321,
0.010888799093663692,
0.0022813640534877777,
0.07639878988265991,
-0.010365194641053677,
0.007345456629991531,
-0.029496684670448303,
-0.0390106700360775,
-0.006228309124708176,
-0.08098422735929489,
-0.056688759475946426,
-0.00037938932655379176,
0.04194195568561554,
0.000187645127880387,
0.002888527698814869,
-0.042219165712594986,
-0.04568779841065407,
0.04480856657028198,
-4.321608553527174e-34,
-0.0650414302945137,
-0.021570751443505287,
0.031205225735902786,
0.0034897050354629755,
0.058374933898448944,
-0.023129276931285858,
-0.04920704662799835,
0.006101676262915134,
0.06969605386257172,
-0.061645835638046265,
0.04724520072340965,
0.10418299585580826,
0.02061331830918789,
-0.0004515197651926428,
-0.053349241614341736,
0.009139660745859146,
0.06485898792743683,
0.048841945827007294,
0.08026924729347229,
-0.08558528870344162,
0.019946610555052757,
0.14807598292827606,
0.0618310421705246,
-0.03063766472041607,
-0.02339434064924717,
0.06175205111503601,
-0.025737684220075607,
-0.07033667713403702,
-0.04978825896978378,
-0.00963138323277235,
-0.005973245482891798,
0.024727778509259224,
-0.10964439809322357,
0.012366012670099735,
-0.01398040447384119,
0.014056705869734287,
-0.0011232583783566952,
-0.016899865120649338,
-0.02287190966308117,
-0.03313981741666794,
-0.013827089220285416,
-0.0050951833836734295,
-0.06208524480462074,
-0.06032824143767357,
0.03308340162038803,
0.026286810636520386,
0.0699160173535347,
0.019512999802827835,
-0.049061425030231476,
-0.06440487504005432,
0.010683411732316017,
-0.029609449207782745,
-0.08383914083242416,
-0.0750332921743393,
-0.007967477664351463,
0.006622556131333113,
0.016929129138588905,
0.026488415896892548,
-0.04311833158135414,
-0.019068226218223572,
-0.008973151445388794,
0.05977661535143852,
0.015743084251880646,
-0.048608724027872086,
0.01586323045194149,
-0.024581944569945335,
-0.06393368542194366,
-0.06420370191335678,
0.017125865444540977,
-0.05708271265029907,
-0.07230748236179352,
0.04997074231505394,
0.009315788745880127,
0.010290821082890034,
0.029456675052642822,
-0.04571367800235748,
-0.006519811227917671,
-0.07356621325016022,
-0.03448350727558136,
0.03423572704195976,
-0.1461034119129181,
-0.007245014887303114,
-0.012744511477649212,
-0.05545923113822937,
-0.017650635913014412,
-0.08774974197149277,
-0.04765160009264946,
-0.04487525671720505,
-0.022102613002061844,
0.06086910143494606,
-0.033949632197618484,
-0.027857515960931778,
0.05284145474433899,
-0.004135145340114832,
0.03325370326638222,
-3.917670307347242e-33,
0.012357226572930813,
-0.052547238767147064,
-0.042244456708431244,
0.07738952338695526,
-0.03666551783680916,
0.017235735431313515,
-0.03686780855059624,
0.06750654429197311,
-0.03978244587779045,
-0.013895011506974697,
0.0016060119960457087,
-0.0410604327917099,
-0.011031439527869225,
-0.05432582646608353,
-0.08531289547681808,
-0.018159693107008934,
0.034421104937791824,
0.01054478157311678,
-0.03465856984257698,
-0.030152577906847,
-0.037980955094099045,
0.15087385475635529,
0.04293374344706535,
-0.031669437885284424,
-0.03069363720715046,
-0.021130980923771858,
-0.0021312532480806112,
0.08267559856176376,
0.07305110991001129,
0.02603435516357422,
0.0008811873849481344,
-0.04314013198018074,
0.003992964047938585,
0.04945995286107063,
-0.08468590676784515,
0.07091861218214035,
0.02729378454387188,
0.08620051294565201,
0.03026452288031578,
0.0381222739815712,
0.06605517119169235,
-0.02054845355451107,
0.009726844727993011,
-0.0049819303676486015,
0.02699354663491249,
-0.04771025851368904,
-0.05128372088074684,
-0.008686291053891182,
0.009454007260501385,
-0.027595875784754753,
0.14119915664196014,
-0.0029840737115591764,
-0.03981734812259674,
0.007901078090071678,
0.003227991983294487,
0.07759272307157516,
0.07527419179677963,
0.0008845027768984437,
0.0812431052327156,
-0.012495499104261398,
0.006628447212278843,
-0.08312327414751053,
0.10868673771619797,
0.04474212974309921,
0.014202669262886047,
0.012055438943207264,
-0.06209486350417137,
0.0011219156440347433,
0.09942551702260971,
-0.07230573147535324,
0.08124446868896484,
0.05504623055458069,
0.02384173683822155,
-0.011817438527941704,
0.11536585539579391,
-0.03471197932958603,
0.0676540657877922,
-0.05370287597179413,
-0.05744745954871178,
-0.07334765046834946,
-0.08106186240911484,
0.016659943386912346,
0.0034455941058695316,
-0.05577909201383591,
0.00682540750131011,
-0.11148775368928909,
0.031237754970788956,
-0.06556157767772675,
0.02158341556787491,
-0.034809861332178116,
-0.011693057604134083,
-0.05924036726355553,
0.07038775831460953,
0.08424994349479675,
-0.00730173522606492,
-2.9196970174893977e-8,
-0.01044322270900011,
-0.010857414454221725,
0.09956987202167511,
0.009148473851382732,
-0.01729615591466427,
0.0222566369920969,
0.020237410441040993,
0.010760020464658737,
-0.04827197268605232,
0.0313774012029171,
-0.01438816823065281,
0.08034540712833405,
0.06519787758588791,
0.04945627599954605,
-0.006097589153796434,
0.021829187870025635,
0.0026994026266038418,
0.03548094630241394,
-0.022640828043222427,
-0.06771375238895416,
0.07624833285808563,
-0.06567202508449554,
-0.009084908291697502,
0.0346943736076355,
0.061353255063295364,
0.03152632340788841,
-0.04423193633556366,
-0.07375261932611465,
-0.016770169138908386,
0.008675290271639824,
-0.05219782888889313,
0.05009916424751282,
0.036080870777368546,
0.07285486906766891,
-0.0022854404523968697,
-0.07033585757017136,
0.04362613707780838,
0.0025779164861887693,
-0.0748535692691803,
-0.037531353533267975,
0.0286788921803236,
0.06854474544525146,
-0.12920032441616058,
0.07869019359350204,
-0.038640834391117096,
-0.000615554628893733,
-0.08181560039520264,
-0.014996740967035294,
-0.04316474869847298,
0.12423324584960938,
0.04160567745566368,
0.023373469710350037,
0.04986593499779701,
-0.04123324155807495,
-0.03759407252073288,
0.008667292073369026,
-0.05309157073497772,
0.030405843630433083,
-0.0017525024013593793,
0.016167903319001198,
0.060247838497161865,
0.0615011528134346,
0.021980611607432365,
-0.014483276754617691
] | null | null | null | null | null | null | null | [
-0.12844526767730713,
0.0006179701304063201,
-0.017567170783877373,
0.07282212376594543,
-0.004138196352869272,
0.0038760320749133825,
0.04107310250401497,
-0.008697064593434334,
0.05107772350311279,
0.03285517916083336,
-0.041473887860774994,
0.04025048762559891,
-0.016700120642781258,
-0.061822518706321716,
-0.01239989884197712,
-0.10690119862556458,
-0.033903818577528,
0.07535797357559204,
-0.05301762744784355,
0.022739512845873833,
0.049561768770217896,
-0.038180019706487656,
-0.09643727540969849,
-0.004665246233344078,
0.06289565563201904,
0.05690061300992966,
-0.013488308526575565,
0.0532173253595829,
-0.00015576153236906976,
-0.040859535336494446,
-0.037446483969688416,
-0.04766058176755905,
-0.11396342515945435,
0.015816669911146164,
0.004536385647952557,
0.14479394257068634,
0.0008171862573362887,
-0.03561991825699806,
-0.0023716215509921312,
0.04960747808218002,
-0.026061903685331345,
-0.024678267538547516,
-0.0003864003228954971,
0.0014910278841853142,
0.014141801744699478,
0.03462570160627365,
-0.0029930451419204473,
-0.05745483934879303,
-0.04022296145558357,
-0.04179968684911728,
0.06488535553216934,
0.0745677649974823,
-0.04277775064110756,
0.11606046557426453,
0.009907646104693413,
0.03969166800379753,
0.06155012547969818,
-0.054017163813114166,
-0.023735295981168747,
-0.048125363886356354,
0.006528216414153576,
0.05474085733294487,
-0.055420346558094025,
0.01075764186680317,
0.032143235206604004,
-0.04613259807229042,
0.046560849994421005,
0.040568869560956955,
-0.0008329492411576211,
-0.018619302660226822,
-0.036152034997940063,
-0.016722939908504486,
-0.07701629400253296,
-0.08192835003137589,
0.07362322509288788,
-0.09092878550291061,
-0.007091338746249676,
0.11967930942773819,
-0.04076478257775307,
0.04414189234375954,
0.04071821644902229,
-0.03232782334089279,
0.021692780777812004,
-0.08304600417613983,
-0.01610226184129715,
0.04719356447458267,
-0.05747309327125549,
-0.05469604954123497,
0.10069303214550018,
-0.01941630244255066,
-0.09524139016866684,
-0.0013818094739690423,
0.0381634421646595,
-0.02419186197221279,
0.09106616675853729,
-0.003132245037704706,
-0.01351037435233593,
-0.03985026851296425,
0.11304005980491638,
-0.04424211010336876,
-0.014176790602505207,
-0.008475287817418575,
0.022911157459020615,
0.012229238636791706,
0.04032687842845917,
-0.018609050661325455,
-0.01944548264145851,
0.02502371184527874,
-0.004569436889141798,
0.013362409546971321,
0.010888799093663692,
0.0022813640534877777,
0.07639878988265991,
-0.010365194641053677,
0.007345456629991531,
-0.029496684670448303,
-0.0390106700360775,
-0.006228309124708176,
-0.08098422735929489,
-0.056688759475946426,
-0.00037938932655379176,
0.04194195568561554,
0.000187645127880387,
0.002888527698814869,
-0.042219165712594986,
-0.04568779841065407,
0.04480856657028198,
-4.321608553527174e-34,
-0.0650414302945137,
-0.021570751443505287,
0.031205225735902786,
0.0034897050354629755,
0.058374933898448944,
-0.023129276931285858,
-0.04920704662799835,
0.006101676262915134,
0.06969605386257172,
-0.061645835638046265,
0.04724520072340965,
0.10418299585580826,
0.02061331830918789,
-0.0004515197651926428,
-0.053349241614341736,
0.009139660745859146,
0.06485898792743683,
0.048841945827007294,
0.08026924729347229,
-0.08558528870344162,
0.019946610555052757,
0.14807598292827606,
0.0618310421705246,
-0.03063766472041607,
-0.02339434064924717,
0.06175205111503601,
-0.025737684220075607,
-0.07033667713403702,
-0.04978825896978378,
-0.00963138323277235,
-0.005973245482891798,
0.024727778509259224,
-0.10964439809322357,
0.012366012670099735,
-0.01398040447384119,
0.014056705869734287,
-0.0011232583783566952,
-0.016899865120649338,
-0.02287190966308117,
-0.03313981741666794,
-0.013827089220285416,
-0.0050951833836734295,
-0.06208524480462074,
-0.06032824143767357,
0.03308340162038803,
0.026286810636520386,
0.0699160173535347,
0.019512999802827835,
-0.049061425030231476,
-0.06440487504005432,
0.010683411732316017,
-0.029609449207782745,
-0.08383914083242416,
-0.0750332921743393,
-0.007967477664351463,
0.006622556131333113,
0.016929129138588905,
0.026488415896892548,
-0.04311833158135414,
-0.019068226218223572,
-0.008973151445388794,
0.05977661535143852,
0.015743084251880646,
-0.048608724027872086,
0.01586323045194149,
-0.024581944569945335,
-0.06393368542194366,
-0.06420370191335678,
0.017125865444540977,
-0.05708271265029907,
-0.07230748236179352,
0.04997074231505394,
0.009315788745880127,
0.010290821082890034,
0.029456675052642822,
-0.04571367800235748,
-0.006519811227917671,
-0.07356621325016022,
-0.03448350727558136,
0.03423572704195976,
-0.1461034119129181,
-0.007245014887303114,
-0.012744511477649212,
-0.05545923113822937,
-0.017650635913014412,
-0.08774974197149277,
-0.04765160009264946,
-0.04487525671720505,
-0.022102613002061844,
0.06086910143494606,
-0.033949632197618484,
-0.027857515960931778,
0.05284145474433899,
-0.004135145340114832,
0.03325370326638222,
-3.917670307347242e-33,
0.012357226572930813,
-0.052547238767147064,
-0.042244456708431244,
0.07738952338695526,
-0.03666551783680916,
0.017235735431313515,
-0.03686780855059624,
0.06750654429197311,
-0.03978244587779045,
-0.013895011506974697,
0.0016060119960457087,
-0.0410604327917099,
-0.011031439527869225,
-0.05432582646608353,
-0.08531289547681808,
-0.018159693107008934,
0.034421104937791824,
0.01054478157311678,
-0.03465856984257698,
-0.030152577906847,
-0.037980955094099045,
0.15087385475635529,
0.04293374344706535,
-0.031669437885284424,
-0.03069363720715046,
-0.021130980923771858,
-0.0021312532480806112,
0.08267559856176376,
0.07305110991001129,
0.02603435516357422,
0.0008811873849481344,
-0.04314013198018074,
0.003992964047938585,
0.04945995286107063,
-0.08468590676784515,
0.07091861218214035,
0.02729378454387188,
0.08620051294565201,
0.03026452288031578,
0.0381222739815712,
0.06605517119169235,
-0.02054845355451107,
0.009726844727993011,
-0.0049819303676486015,
0.02699354663491249,
-0.04771025851368904,
-0.05128372088074684,
-0.008686291053891182,
0.009454007260501385,
-0.027595875784754753,
0.14119915664196014,
-0.0029840737115591764,
-0.03981734812259674,
0.007901078090071678,
0.003227991983294487,
0.07759272307157516,
0.07527419179677963,
0.0008845027768984437,
0.0812431052327156,
-0.012495499104261398,
0.006628447212278843,
-0.08312327414751053,
0.10868673771619797,
0.04474212974309921,
0.014202669262886047,
0.012055438943207264,
-0.06209486350417137,
0.0011219156440347433,
0.09942551702260971,
-0.07230573147535324,
0.08124446868896484,
0.05504623055458069,
0.02384173683822155,
-0.011817438527941704,
0.11536585539579391,
-0.03471197932958603,
0.0676540657877922,
-0.05370287597179413,
-0.05744745954871178,
-0.07334765046834946,
-0.08106186240911484,
0.016659943386912346,
0.0034455941058695316,
-0.05577909201383591,
0.00682540750131011,
-0.11148775368928909,
0.031237754970788956,
-0.06556157767772675,
0.02158341556787491,
-0.034809861332178116,
-0.011693057604134083,
-0.05924036726355553,
0.07038775831460953,
0.08424994349479675,
-0.00730173522606492,
-2.9196970174893977e-8,
-0.01044322270900011,
-0.010857414454221725,
0.09956987202167511,
0.009148473851382732,
-0.01729615591466427,
0.0222566369920969,
0.020237410441040993,
0.010760020464658737,
-0.04827197268605232,
0.0313774012029171,
-0.01438816823065281,
0.08034540712833405,
0.06519787758588791,
0.04945627599954605,
-0.006097589153796434,
0.021829187870025635,
0.0026994026266038418,
0.03548094630241394,
-0.022640828043222427,
-0.06771375238895416,
0.07624833285808563,
-0.06567202508449554,
-0.009084908291697502,
0.0346943736076355,
0.061353255063295364,
0.03152632340788841,
-0.04423193633556366,
-0.07375261932611465,
-0.016770169138908386,
0.008675290271639824,
-0.05219782888889313,
0.05009916424751282,
0.036080870777368546,
0.07285486906766891,
-0.0022854404523968697,
-0.07033585757017136,
0.04362613707780838,
0.0025779164861887693,
-0.0748535692691803,
-0.037531353533267975,
0.0286788921803236,
0.06854474544525146,
-0.12920032441616058,
0.07869019359350204,
-0.038640834391117096,
-0.000615554628893733,
-0.08181560039520264,
-0.014996740967035294,
-0.04316474869847298,
0.12423324584960938,
0.04160567745566368,
0.023373469710350037,
0.04986593499779701,
-0.04123324155807495,
-0.03759407252073288,
0.008667292073369026,
-0.05309157073497772,
0.030405843630433083,
-0.0017525024013593793,
0.016167903319001198,
0.060247838497161865,
0.0615011528134346,
0.021980611607432365,
-0.014483276754617691
] |
1401.0555 | Xiang-Yao Wu | Xiang-Yao Wu, Hong Li, Xiao-Jing Liu, Si-Qi Zhang, Ji Ma, Guang-Huai
Wang, Hai-Xin Gao, Heng-Mei Li, Hong-Chun Yuan | Relativistic spinor equation of photon | null | null | null | null | physics.gen-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have proposed the spiron equation of free and non-free
photon, and give the spin operator and spin wave function of photon. We
calculate the helicity of photon and prove there are left-handed and
right-handed photon. By the spiron equation of non-free photon, we can study
the quantum property of photon in medium, which can be used in quantum optics,
photonic crystals and so on.
| [
{
"created": "Thu, 2 Jan 2014 22:11:08 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Wu",
"Xiang-Yao",
""
],
[
"Li",
"Hong",
""
],
[
"Liu",
"Xiao-Jing",
""
],
[
"Zhang",
"Si-Qi",
""
],
[
"Ma",
"Ji",
""
],
[
"Wang",
"Guang-Huai",
""
],
[
"Gao",
"Hai-Xin",
""
],
[
"Li",
"Heng-Mei",
""
],
[
"Yuan",
"Hong-Chun",
""
]
] | [
-0.06781613081693649,
-0.03630823269486427,
-0.030378028750419617,
0.03812125325202942,
-0.013862643390893936,
0.07255344092845917,
0.02332679182291031,
0.007273808587342501,
-0.013886607252061367,
0.03903694823384285,
0.1596960425376892,
-0.0004256753309164196,
-0.08692247420549393,
0.07624899595975876,
0.0961437076330185,
0.047706298530101776,
-0.1370772123336792,
-0.058831438422203064,
-0.022648653015494347,
0.0366944745182991,
0.0024293826427310705,
-0.07586757838726044,
-0.022285357117652893,
-0.009929800406098366,
-0.01837099902331829,
-0.030587030574679375,
0.09060891717672348,
0.007448259275406599,
-0.0037940472830086946,
0.06488651782274246,
0.07095957547426224,
0.07350049912929535,
0.019523801282048225,
-0.01847807876765728,
-0.020433880388736725,
-0.015478319488465786,
0.11047233641147614,
-0.08936750143766403,
-0.0012614218285307288,
0.007369209546595812,
-0.022426124662160873,
-0.00020184979075565934,
-0.0652729943394661,
0.060768116265535355,
-0.030263088643550873,
0.028308261185884476,
0.1079588383436203,
0.04591449722647667,
0.01862134411931038,
-0.05892309173941612,
0.0024136388674378395,
0.10302390158176422,
-0.07817740738391876,
-0.030068788677453995,
0.10485559701919556,
0.05610963702201843,
0.004913181997835636,
-0.047759734094142914,
-0.004735961556434631,
-0.07030896842479706,
0.04148342087864876,
-0.022542869672179222,
-0.10389968007802963,
-0.032468561083078384,
0.07913479208946228,
-0.00840053055435419,
-0.06397012621164322,
-0.029676418751478195,
0.005415209569036961,
0.036200154572725296,
0.014805478043854237,
-0.04935595020651817,
0.004682963714003563,
0.02838868275284767,
-0.004027253482490778,
0.018970858305692673,
-0.0028007428627461195,
0.06475288420915604,
-0.025406403467059135,
0.05526120588183403,
-0.03346845880150795,
-0.029854517430067062,
-0.04556385800242424,
0.12676653265953064,
0.05448579415678978,
0.05529136583209038,
-0.08788806200027466,
0.07392428070306778,
-0.06907062977552414,
0.039058178663253784,
-0.08244368433952332,
-0.04210095480084419,
-0.04465039074420929,
-0.13315929472446442,
0.02212381176650524,
-0.019464461132884026,
0.01072053425014019,
0.047041282057762146,
-0.1069072037935257,
-0.03948445990681648,
0.07198847830295563,
-0.007102093193680048,
-0.013924064114689827,
0.054332707077264786,
-0.03900190442800522,
0.009444539435207844,
0.05849868059158325,
0.02139344997704029,
-0.07439371943473816,
0.05194442719221115,
0.08382631838321686,
0.0008170967339538038,
-0.05236940085887909,
-0.06394253671169281,
-0.01866156794130802,
0.06724807620048523,
-0.015318404883146286,
0.07194455713033676,
0.003923427779227495,
0.0479392483830452,
-0.038153938949108124,
0.06625133007764816,
-0.0097553301602602,
0.03318796306848526,
-0.02322523295879364,
-0.08743150532245636,
-0.021137729287147522,
-1.2777931242350394e-33,
0.02465922012925148,
0.030822867527604103,
0.0347636453807354,
-0.016710402444005013,
-0.011861342936754227,
0.013239734806120396,
0.07242874801158905,
-0.04378326237201691,
-0.0007082864176481962,
-0.045143239200115204,
-0.004743238445371389,
0.02598397620022297,
-0.04545455425977707,
-0.04778295382857323,
-0.01991388574242592,
-0.02122539095580578,
-0.04718407616019249,
-0.04902440309524536,
0.07452758401632309,
0.04082692414522171,
0.026859598234295845,
0.015129989013075829,
-0.06390046328306198,
0.04616782069206238,
-0.016269972547888756,
-0.11076559126377106,
-0.006143069360405207,
-0.05573071911931038,
0.050671178847551346,
-0.013354013673961163,
0.01135985553264618,
0.11172538995742798,
0.007454365957528353,
0.02350401133298874,
0.014568950980901718,
-0.07267671823501587,
-0.023453133180737495,
0.05297200381755829,
-0.009948497638106346,
0.09834875166416168,
-0.0019274832447990775,
-0.012100430205464363,
0.06131988763809204,
0.005698916036635637,
-0.03954583406448364,
-0.02006813883781433,
-0.06076689437031746,
-0.05985549837350845,
0.05614037439227104,
-0.042358510196208954,
0.03281470015645027,
-0.10788150876760483,
-0.051328640431165695,
0.018942512571811676,
0.020984873175621033,
-0.03138221800327301,
0.042091190814971924,
0.08260475099086761,
-0.026306360960006714,
-0.05057905986905098,
0.02501039206981659,
-0.023539775982499123,
0.09545852243900299,
0.039568182080984116,
-0.018852179870009422,
-0.09122387319803238,
-0.04119421914219856,
-0.0671173557639122,
-0.05819547176361084,
-0.02095552161335945,
-0.0430232398211956,
0.07007274776697159,
-0.020028309896588326,
0.030075741931796074,
0.061876919120550156,
-0.03403925150632858,
-0.04677891731262207,
-0.05055076628923416,
0.005652673076838255,
0.09953209012746811,
-0.028399130329489708,
-0.00824800692498684,
-0.06845476478338242,
0.02055605873465538,
-0.031497519463300705,
0.029696714133024216,
-0.0770978331565857,
-0.11368924379348755,
-0.06635477393865585,
-0.030018974095582962,
-0.04896824061870575,
-0.027841851115226746,
-0.015451427549123764,
-0.071284718811512,
-0.01319923996925354,
-1.0014271473525232e-33,
-0.09291505813598633,
-0.06109513342380524,
-0.016326213255524635,
-0.001816188800148666,
-0.006323777139186859,
0.12868022918701172,
0.05145712569355965,
0.005901597440242767,
0.03359125927090645,
-0.010615142062306404,
0.04056103900074959,
0.058178383857011795,
-0.0448421910405159,
0.004864220041781664,
-0.0534372553229332,
0.048433221876621246,
-0.011725327931344509,
-0.08026599884033203,
0.007523971144109964,
0.04511774703860283,
-0.07433414459228516,
0.03834152594208717,
0.05013575404882431,
-0.010279550217092037,
-0.024255357682704926,
0.005014472641050816,
0.0340459831058979,
0.04045725241303444,
0.0006942395120859146,
0.053869470953941345,
0.04999035596847534,
-0.0622728131711483,
-0.031671714037656784,
0.018886541947722435,
-0.03868349269032478,
-0.013835802674293518,
0.012505327351391315,
0.009105500765144825,
-0.025206150487065315,
0.022334503009915352,
0.06115591153502464,
-0.021882105618715286,
0.08515910804271698,
0.04919147118926048,
-0.033594731241464615,
0.013583450578153133,
-0.019938847050070763,
-0.08908575028181076,
-0.04336743429303169,
0.01992437057197094,
-0.04704637825489044,
0.0639491155743599,
0.06613031774759293,
-0.0008679539314471185,
-0.010399912483990192,
-0.021645523607730865,
-0.02345689758658409,
0.0327930673956871,
0.07544299960136414,
0.10347772389650345,
-0.030718185007572174,
0.033986665308475494,
-0.005080716218799353,
0.024369394406676292,
0.03481477126479149,
0.02388984151184559,
-0.047140683978796005,
-0.005683609284460545,
-0.0013275791425257921,
-0.03731318563222885,
0.006557857617735863,
-0.061067502945661545,
-0.0488588847219944,
0.01880064606666565,
0.0485236719250679,
0.04844951257109642,
-0.015264737419784069,
0.06892159581184387,
0.03654779493808746,
0.03276412561535835,
0.025021763518452644,
0.0403955802321434,
-0.06672539561986923,
-0.011629640124738216,
0.012021253816783428,
-0.05086292326450348,
0.02226981706917286,
0.021644318476319313,
-0.028706803917884827,
-0.021884283050894737,
0.04387008026242256,
0.06278477609157562,
0.06749968230724335,
-0.0948776826262474,
0.11179573088884354,
-3.441817497673583e-8,
0.03001825325191021,
-0.0750516876578331,
0.06985381990671158,
0.022686338052153587,
0.032292723655700684,
-0.0060137431137263775,
0.022581927478313446,
-0.05353539064526558,
0.006512763909995556,
0.022816210985183716,
-0.03307078033685684,
-0.06288523226976395,
-0.09571808576583862,
-0.01824810542166233,
-0.0067837852984666824,
0.03769703209400177,
0.01951790414750576,
-0.041987065225839615,
0.0012575823348015547,
-0.040789566934108734,
0.00582515262067318,
-0.008003371767699718,
0.005207282956689596,
-0.026467474177479744,
-0.03054337203502655,
0.032528433948755264,
-0.019671950489282608,
-0.062326498329639435,
0.010247290134429932,
0.06197800859808922,
0.11658941954374313,
-0.05363476276397705,
0.03651425614953041,
0.05726807937026024,
-0.13309034705162048,
-0.07992260903120041,
-0.007191534154117107,
0.008032657206058502,
-0.01779697649180889,
0.004097631201148033,
-0.009227336384356022,
0.025819964706897736,
-0.0569269172847271,
0.0019799331203103065,
-0.0142435971647501,
0.05787305161356926,
0.013868286274373531,
0.014141067862510681,
0.02202613465487957,
0.1363036185503006,
-0.0450427308678627,
0.07368702441453934,
0.05101121962070465,
-0.031961891800165176,
-0.08594759553670883,
0.060529619455337524,
0.06234480068087578,
0.032973892986774445,
0.004383559338748455,
-0.016048047691583633,
-0.045921001583337784,
0.04359625279903412,
-0.0039396099746227264,
0.07387228310108185
] | null | null | null | null | null | null | null | [
-0.06781613081693649,
-0.03630823269486427,
-0.030378028750419617,
0.03812125325202942,
-0.013862643390893936,
0.07255344092845917,
0.02332679182291031,
0.007273808587342501,
-0.013886607252061367,
0.03903694823384285,
0.1596960425376892,
-0.0004256753309164196,
-0.08692247420549393,
0.07624899595975876,
0.0961437076330185,
0.047706298530101776,
-0.1370772123336792,
-0.058831438422203064,
-0.022648653015494347,
0.0366944745182991,
0.0024293826427310705,
-0.07586757838726044,
-0.022285357117652893,
-0.009929800406098366,
-0.01837099902331829,
-0.030587030574679375,
0.09060891717672348,
0.007448259275406599,
-0.0037940472830086946,
0.06488651782274246,
0.07095957547426224,
0.07350049912929535,
0.019523801282048225,
-0.01847807876765728,
-0.020433880388736725,
-0.015478319488465786,
0.11047233641147614,
-0.08936750143766403,
-0.0012614218285307288,
0.007369209546595812,
-0.022426124662160873,
-0.00020184979075565934,
-0.0652729943394661,
0.060768116265535355,
-0.030263088643550873,
0.028308261185884476,
0.1079588383436203,
0.04591449722647667,
0.01862134411931038,
-0.05892309173941612,
0.0024136388674378395,
0.10302390158176422,
-0.07817740738391876,
-0.030068788677453995,
0.10485559701919556,
0.05610963702201843,
0.004913181997835636,
-0.047759734094142914,
-0.004735961556434631,
-0.07030896842479706,
0.04148342087864876,
-0.022542869672179222,
-0.10389968007802963,
-0.032468561083078384,
0.07913479208946228,
-0.00840053055435419,
-0.06397012621164322,
-0.029676418751478195,
0.005415209569036961,
0.036200154572725296,
0.014805478043854237,
-0.04935595020651817,
0.004682963714003563,
0.02838868275284767,
-0.004027253482490778,
0.018970858305692673,
-0.0028007428627461195,
0.06475288420915604,
-0.025406403467059135,
0.05526120588183403,
-0.03346845880150795,
-0.029854517430067062,
-0.04556385800242424,
0.12676653265953064,
0.05448579415678978,
0.05529136583209038,
-0.08788806200027466,
0.07392428070306778,
-0.06907062977552414,
0.039058178663253784,
-0.08244368433952332,
-0.04210095480084419,
-0.04465039074420929,
-0.13315929472446442,
0.02212381176650524,
-0.019464461132884026,
0.01072053425014019,
0.047041282057762146,
-0.1069072037935257,
-0.03948445990681648,
0.07198847830295563,
-0.007102093193680048,
-0.013924064114689827,
0.054332707077264786,
-0.03900190442800522,
0.009444539435207844,
0.05849868059158325,
0.02139344997704029,
-0.07439371943473816,
0.05194442719221115,
0.08382631838321686,
0.0008170967339538038,
-0.05236940085887909,
-0.06394253671169281,
-0.01866156794130802,
0.06724807620048523,
-0.015318404883146286,
0.07194455713033676,
0.003923427779227495,
0.0479392483830452,
-0.038153938949108124,
0.06625133007764816,
-0.0097553301602602,
0.03318796306848526,
-0.02322523295879364,
-0.08743150532245636,
-0.021137729287147522,
-1.2777931242350394e-33,
0.02465922012925148,
0.030822867527604103,
0.0347636453807354,
-0.016710402444005013,
-0.011861342936754227,
0.013239734806120396,
0.07242874801158905,
-0.04378326237201691,
-0.0007082864176481962,
-0.045143239200115204,
-0.004743238445371389,
0.02598397620022297,
-0.04545455425977707,
-0.04778295382857323,
-0.01991388574242592,
-0.02122539095580578,
-0.04718407616019249,
-0.04902440309524536,
0.07452758401632309,
0.04082692414522171,
0.026859598234295845,
0.015129989013075829,
-0.06390046328306198,
0.04616782069206238,
-0.016269972547888756,
-0.11076559126377106,
-0.006143069360405207,
-0.05573071911931038,
0.050671178847551346,
-0.013354013673961163,
0.01135985553264618,
0.11172538995742798,
0.007454365957528353,
0.02350401133298874,
0.014568950980901718,
-0.07267671823501587,
-0.023453133180737495,
0.05297200381755829,
-0.009948497638106346,
0.09834875166416168,
-0.0019274832447990775,
-0.012100430205464363,
0.06131988763809204,
0.005698916036635637,
-0.03954583406448364,
-0.02006813883781433,
-0.06076689437031746,
-0.05985549837350845,
0.05614037439227104,
-0.042358510196208954,
0.03281470015645027,
-0.10788150876760483,
-0.051328640431165695,
0.018942512571811676,
0.020984873175621033,
-0.03138221800327301,
0.042091190814971924,
0.08260475099086761,
-0.026306360960006714,
-0.05057905986905098,
0.02501039206981659,
-0.023539775982499123,
0.09545852243900299,
0.039568182080984116,
-0.018852179870009422,
-0.09122387319803238,
-0.04119421914219856,
-0.0671173557639122,
-0.05819547176361084,
-0.02095552161335945,
-0.0430232398211956,
0.07007274776697159,
-0.020028309896588326,
0.030075741931796074,
0.061876919120550156,
-0.03403925150632858,
-0.04677891731262207,
-0.05055076628923416,
0.005652673076838255,
0.09953209012746811,
-0.028399130329489708,
-0.00824800692498684,
-0.06845476478338242,
0.02055605873465538,
-0.031497519463300705,
0.029696714133024216,
-0.0770978331565857,
-0.11368924379348755,
-0.06635477393865585,
-0.030018974095582962,
-0.04896824061870575,
-0.027841851115226746,
-0.015451427549123764,
-0.071284718811512,
-0.01319923996925354,
-1.0014271473525232e-33,
-0.09291505813598633,
-0.06109513342380524,
-0.016326213255524635,
-0.001816188800148666,
-0.006323777139186859,
0.12868022918701172,
0.05145712569355965,
0.005901597440242767,
0.03359125927090645,
-0.010615142062306404,
0.04056103900074959,
0.058178383857011795,
-0.0448421910405159,
0.004864220041781664,
-0.0534372553229332,
0.048433221876621246,
-0.011725327931344509,
-0.08026599884033203,
0.007523971144109964,
0.04511774703860283,
-0.07433414459228516,
0.03834152594208717,
0.05013575404882431,
-0.010279550217092037,
-0.024255357682704926,
0.005014472641050816,
0.0340459831058979,
0.04045725241303444,
0.0006942395120859146,
0.053869470953941345,
0.04999035596847534,
-0.0622728131711483,
-0.031671714037656784,
0.018886541947722435,
-0.03868349269032478,
-0.013835802674293518,
0.012505327351391315,
0.009105500765144825,
-0.025206150487065315,
0.022334503009915352,
0.06115591153502464,
-0.021882105618715286,
0.08515910804271698,
0.04919147118926048,
-0.033594731241464615,
0.013583450578153133,
-0.019938847050070763,
-0.08908575028181076,
-0.04336743429303169,
0.01992437057197094,
-0.04704637825489044,
0.0639491155743599,
0.06613031774759293,
-0.0008679539314471185,
-0.010399912483990192,
-0.021645523607730865,
-0.02345689758658409,
0.0327930673956871,
0.07544299960136414,
0.10347772389650345,
-0.030718185007572174,
0.033986665308475494,
-0.005080716218799353,
0.024369394406676292,
0.03481477126479149,
0.02388984151184559,
-0.047140683978796005,
-0.005683609284460545,
-0.0013275791425257921,
-0.03731318563222885,
0.006557857617735863,
-0.061067502945661545,
-0.0488588847219944,
0.01880064606666565,
0.0485236719250679,
0.04844951257109642,
-0.015264737419784069,
0.06892159581184387,
0.03654779493808746,
0.03276412561535835,
0.025021763518452644,
0.0403955802321434,
-0.06672539561986923,
-0.011629640124738216,
0.012021253816783428,
-0.05086292326450348,
0.02226981706917286,
0.021644318476319313,
-0.028706803917884827,
-0.021884283050894737,
0.04387008026242256,
0.06278477609157562,
0.06749968230724335,
-0.0948776826262474,
0.11179573088884354,
-3.441817497673583e-8,
0.03001825325191021,
-0.0750516876578331,
0.06985381990671158,
0.022686338052153587,
0.032292723655700684,
-0.0060137431137263775,
0.022581927478313446,
-0.05353539064526558,
0.006512763909995556,
0.022816210985183716,
-0.03307078033685684,
-0.06288523226976395,
-0.09571808576583862,
-0.01824810542166233,
-0.0067837852984666824,
0.03769703209400177,
0.01951790414750576,
-0.041987065225839615,
0.0012575823348015547,
-0.040789566934108734,
0.00582515262067318,
-0.008003371767699718,
0.005207282956689596,
-0.026467474177479744,
-0.03054337203502655,
0.032528433948755264,
-0.019671950489282608,
-0.062326498329639435,
0.010247290134429932,
0.06197800859808922,
0.11658941954374313,
-0.05363476276397705,
0.03651425614953041,
0.05726807937026024,
-0.13309034705162048,
-0.07992260903120041,
-0.007191534154117107,
0.008032657206058502,
-0.01779697649180889,
0.004097631201148033,
-0.009227336384356022,
0.025819964706897736,
-0.0569269172847271,
0.0019799331203103065,
-0.0142435971647501,
0.05787305161356926,
0.013868286274373531,
0.014141067862510681,
0.02202613465487957,
0.1363036185503006,
-0.0450427308678627,
0.07368702441453934,
0.05101121962070465,
-0.031961891800165176,
-0.08594759553670883,
0.060529619455337524,
0.06234480068087578,
0.032973892986774445,
0.004383559338748455,
-0.016048047691583633,
-0.045921001583337784,
0.04359625279903412,
-0.0039396099746227264,
0.07387228310108185
] |
1401.0561 | Janne Lindqvist | Michael Sherman, Gradeigh Clark, Yulong Yang, Shridatt Sugrim, Arttu
Modig, Janne Lindqvist, Antti Oulasvirta, Teemu Roos | User-Generated Free-Form Gestures for Authentication: Security and
Memorability | null | null | null | null | cs.CR cs.HC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper studies the security and memorability of free-form multitouch
gestures for mobile authentication. Towards this end, we collected a dataset
with a generate-test-retest paradigm where participants (N=63) generated
free-form gestures, repeated them, and were later retested for memory. Half of
the participants decided to generate one-finger gestures, and the other half
generated multi-finger gestures. Although there has been recent work on
template-based gestures, there are yet no metrics to analyze security of either
template or free-form gestures. For example, entropy-based metrics used for
text-based passwords are not suitable for capturing the security and
memorability of free-form gestures. Hence, we modify a recently proposed metric
for analyzing information capacity of continuous full-body movements for this
purpose. Our metric computed estimated mutual information in repeated sets of
gestures. Surprisingly, one-finger gestures had higher average mutual
information. Gestures with many hard angles and turns had the highest mutual
information. The best-remembered gestures included signatures and simple
angular shapes. We also implemented a multitouch recognizer to evaluate the
practicality of free-form gestures in a real authentication system and how they
perform against shoulder surfing attacks. We conclude the paper with strategies
for generating secure and memorable free-form gestures, which present a robust
method for mobile authentication.
| [
{
"created": "Thu, 2 Jan 2014 23:15:27 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Sherman",
"Michael",
""
],
[
"Clark",
"Gradeigh",
""
],
[
"Yang",
"Yulong",
""
],
[
"Sugrim",
"Shridatt",
""
],
[
"Modig",
"Arttu",
""
],
[
"Lindqvist",
"Janne",
""
],
[
"Oulasvirta",
"Antti",
""
],
[
"Roos",
"Teemu",
""
]
] | [
-0.055174656212329865,
-0.03419545292854309,
0.04211807623505592,
-0.0864652693271637,
0.015090230852365494,
0.04079071059823036,
0.06062861159443855,
-0.037663783878088,
0.07198699563741684,
-0.013240339234471321,
0.0650491714477539,
-0.0455058217048645,
0.06162801384925842,
0.02377084083855152,
0.04545510932803154,
-0.020894551649689674,
-0.011608683504164219,
0.05507517606019974,
-0.048383329063653946,
0.06710901856422424,
0.056498244404792786,
-0.09022127091884613,
0.08185052126646042,
-0.006128812674432993,
-0.060713306069374084,
0.01570567488670349,
0.003102231537923217,
-0.07164439558982849,
0.004697791766375303,
-0.0057429601438343525,
-0.006220834329724312,
0.06374230980873108,
0.019726678729057312,
0.04045378044247627,
-0.07906883955001831,
-0.036289237439632416,
0.021731272339820862,
0.03788509964942932,
-0.0866357609629631,
-0.05801386386156082,
-0.15444119274616241,
-0.014758802019059658,
0.04373803362250328,
0.13117775321006775,
0.005446255672723055,
0.06211770698428154,
-0.0046182069927453995,
0.03930365666747093,
-0.02823004499077797,
0.03276490420103073,
0.05265861377120018,
0.020073961466550827,
0.05392225831747055,
-0.02291506715118885,
-0.03192252293229103,
-0.04101034626364708,
-0.0021506452467292547,
0.044448792934417725,
0.0043345349840819836,
0.05371806025505066,
0.06043663248419762,
-0.007332732900977135,
-0.007520820014178753,
-0.0041484530083835125,
-0.031115122139453888,
0.00750196585431695,
0.09210414439439774,
-0.008028428070247173,
0.04341409355401993,
0.043129563331604004,
-0.1188681572675705,
-0.04677005112171173,
-0.06434269994497299,
-0.017935259267687798,
0.07438279688358307,
0.013579659163951874,
-0.07232222706079483,
-0.07572922110557556,
-0.07908258587121964,
-0.06155241280794144,
-0.013842948712408543,
-0.0519188717007637,
0.004535364918410778,
0.04752637445926666,
0.06690458208322525,
0.007232382893562317,
-0.058718398213386536,
0.06589967757463455,
0.05676829442381859,
-0.02712494507431984,
-0.08392351120710373,
0.04079407826066017,
-0.04985141381621361,
-0.0642596110701561,
0.049074169248342514,
-0.00617071520537138,
-0.04550913721323013,
0.04462064802646637,
-0.05102332681417465,
0.02173665538430214,
-0.009967836551368237,
0.0386449359357357,
0.007859881035983562,
-0.0005113931256346405,
0.08707263320684433,
0.028593560680747032,
0.022672269493341446,
-0.10337842255830765,
0.030667051672935486,
0.0924101322889328,
0.11462722718715668,
0.04626770317554474,
-0.06058197841048241,
0.06860510259866714,
0.01889044977724552,
-0.011083523742854595,
-0.053300559520721436,
0.0336545966565609,
0.02264978736639023,
0.10462085157632828,
0.046623438596725464,
0.03764798864722252,
0.08754415065050125,
-0.011737346649169922,
-0.04079784080386162,
-0.050089266151189804,
-0.04699418693780899,
-1.8247680025814237e-33,
-0.0480063296854496,
0.07919197529554367,
-0.05209243670105934,
0.008088086731731892,
-0.010959697887301445,
-0.04046064615249634,
-0.04959065467119217,
-0.022560378536581993,
-0.0004276796244084835,
0.06331583857536316,
0.025125816464424133,
0.057557113468647,
0.07004319876432419,
0.011025281623005867,
0.09768770635128021,
0.10227492451667786,
-0.058494336903095245,
0.0019233757629990578,
-0.03916395083069801,
0.0015463527524843812,
0.06987237930297852,
-0.06721950322389603,
0.05019889771938324,
-0.03815259784460068,
0.029494784772396088,
-0.03260904923081398,
-0.011007597669959068,
0.006084545515477657,
0.052618879824876785,
-0.02512054517865181,
-0.08189413696527481,
-0.04783491790294647,
0.010301527567207813,
-0.027997232973575592,
0.045925140380859375,
-0.009852820076048374,
0.06105485185980797,
-0.08801618963479996,
0.017159761860966682,
-0.03549610450863838,
-0.03367205709218979,
-0.03289857134222984,
0.05231822654604912,
-0.06326009333133698,
-0.03460711985826492,
-0.03715122863650322,
-0.022128408774733543,
-0.0061642383225262165,
0.0021897603292018175,
-0.07480385899543762,
-0.028081383556127548,
-0.050873953849077225,
-0.0553780198097229,
-0.06937310099601746,
-0.06559071689844131,
-0.08087840676307678,
-0.06868639588356018,
0.06163984164595604,
-0.02020930126309395,
0.11488816142082214,
-0.07780430465936661,
0.04721182584762573,
0.014479292556643486,
-0.0399043932557106,
-0.09943443536758423,
-0.0867682620882988,
-0.016502121463418007,
0.06617149710655212,
0.08684069663286209,
0.017455432564020157,
-0.03247959911823273,
-0.029904892668128014,
-0.06840148568153381,
-0.013612516224384308,
-0.04066690430045128,
-0.03390352800488472,
0.11044454574584961,
0.045332182198762894,
-0.023851001635193825,
0.07250355929136276,
0.02843395620584488,
0.008599238470196724,
0.10857923328876495,
-0.02105991542339325,
0.02331889607012272,
-0.04652459919452667,
-0.03194280341267586,
-0.09988650679588318,
-0.15266382694244385,
0.03957464173436165,
-0.04064781963825226,
0.010556432418525219,
0.018031425774097443,
-0.021349964663386345,
-0.046489328145980835,
-1.7075908686006194e-33,
-0.10209144651889801,
0.020755669102072716,
-0.03434983640909195,
0.09958890825510025,
-0.03545905649662018,
-0.04194209724664688,
-0.007350322790443897,
0.017535768449306488,
-0.03706023842096329,
-0.06531845033168793,
-0.002334984950721264,
0.029245926067233086,
0.07529247552156448,
-0.007624160964041948,
0.011969269253313541,
0.0536000020802021,
-0.008677318692207336,
0.06910329312086105,
-0.056810930371284485,
-0.024358320981264114,
0.011895805597305298,
0.05008858069777489,
0.02694106474518776,
0.030324114486575127,
-0.07465607672929764,
0.03845962882041931,
0.003944039344787598,
-0.04915742948651314,
0.0007826572982594371,
0.04024990648031235,
0.008773917332291603,
0.028952406719326973,
0.02005823701620102,
0.044656671583652496,
-0.05296416953206062,
-0.08262728154659271,
-0.007468756753951311,
0.046332549303770065,
0.015078450553119183,
0.07241100072860718,
0.07697827368974686,
0.06001199036836624,
0.03059335984289646,
-0.04181933403015137,
-0.055303774774074554,
-0.05438222363591194,
-0.05636965483427048,
0.030618686228990555,
0.034802328795194626,
-0.02786090224981308,
0.03902774676680565,
-0.0056183841079473495,
-0.03150413557887077,
-0.06145443767309189,
-0.09474088996648788,
-0.007877211086452007,
-0.025089437142014503,
-0.025612208992242813,
0.08036118745803833,
-0.04684828221797943,
-0.01794707216322422,
0.030465668067336082,
-0.057502008974552155,
0.043673936277627945,
0.04956068471074104,
0.026168489828705788,
0.025350449606776237,
0.018296683207154274,
-0.0993698462843895,
0.07384355366230011,
0.019248012453317642,
0.01103812362998724,
-0.02804557792842388,
0.010886702686548233,
0.03125869855284691,
0.039520591497421265,
0.0603475384414196,
-0.049388013780117035,
-0.03530951961874962,
-0.055342745035886765,
-0.02472628653049469,
0.017222296446561813,
-0.025373758748173714,
0.02419455349445343,
0.05346761271357536,
0.020691966637969017,
-0.038975123316049576,
-0.020055191591382027,
-0.00663354154676199,
0.07120797038078308,
0.03401200845837593,
0.08140560984611511,
0.01124267466366291,
0.04848591610789299,
0.02009717747569084,
-3.9549320263176924e-8,
0.03359910473227501,
0.03747467324137688,
0.07309366017580032,
-0.05789950489997864,
-0.006858715787529945,
0.11592131853103638,
-0.06245012581348419,
-0.00562076224014163,
0.0022494241129606962,
-0.0004721547302324325,
0.05905803665518761,
0.03588968887925148,
-0.07207778841257095,
-0.002218779642134905,
-0.023723021149635315,
0.010399959050118923,
-0.04215019568800926,
-0.030674424022436142,
-0.07587161660194397,
-0.05851246044039726,
-0.019340090453624725,
0.025897445157170296,
-0.027139056473970413,
-0.014007528312504292,
0.010611196979880333,
0.008561179041862488,
0.007031699176877737,
0.07716338336467743,
0.023750608786940575,
-0.02325909025967121,
-0.02451133169233799,
-0.04933605343103409,
0.0054459283128380775,
-0.053730227053165436,
-0.07071533799171448,
0.011947323568165302,
0.004900286439806223,
-0.06277479231357574,
0.06274130940437317,
0.0514741949737072,
-0.017735129222273827,
0.00754157779738307,
-0.004692588001489639,
0.02563576214015484,
-0.013508585281670094,
-0.06196395307779312,
0.022992927581071854,
-0.07230893522500992,
0.019420376047492027,
0.060461848974227905,
0.009907235391438007,
-0.051102809607982635,
0.029096486046910286,
0.10237067192792892,
0.03234926611185074,
0.06316212564706802,
-0.023093296214938164,
0.005703870207071304,
0.13732117414474487,
-0.010547984391450882,
0.06888030469417572,
-0.04150446876883507,
-0.07572271674871445,
-0.03961639106273651
] | null | null | null | null | null | null | null | [
-0.055174656212329865,
-0.03419545292854309,
0.04211807623505592,
-0.0864652693271637,
0.015090230852365494,
0.04079071059823036,
0.06062861159443855,
-0.037663783878088,
0.07198699563741684,
-0.013240339234471321,
0.0650491714477539,
-0.0455058217048645,
0.06162801384925842,
0.02377084083855152,
0.04545510932803154,
-0.020894551649689674,
-0.011608683504164219,
0.05507517606019974,
-0.048383329063653946,
0.06710901856422424,
0.056498244404792786,
-0.09022127091884613,
0.08185052126646042,
-0.006128812674432993,
-0.060713306069374084,
0.01570567488670349,
0.003102231537923217,
-0.07164439558982849,
0.004697791766375303,
-0.0057429601438343525,
-0.006220834329724312,
0.06374230980873108,
0.019726678729057312,
0.04045378044247627,
-0.07906883955001831,
-0.036289237439632416,
0.021731272339820862,
0.03788509964942932,
-0.0866357609629631,
-0.05801386386156082,
-0.15444119274616241,
-0.014758802019059658,
0.04373803362250328,
0.13117775321006775,
0.005446255672723055,
0.06211770698428154,
-0.0046182069927453995,
0.03930365666747093,
-0.02823004499077797,
0.03276490420103073,
0.05265861377120018,
0.020073961466550827,
0.05392225831747055,
-0.02291506715118885,
-0.03192252293229103,
-0.04101034626364708,
-0.0021506452467292547,
0.044448792934417725,
0.0043345349840819836,
0.05371806025505066,
0.06043663248419762,
-0.007332732900977135,
-0.007520820014178753,
-0.0041484530083835125,
-0.031115122139453888,
0.00750196585431695,
0.09210414439439774,
-0.008028428070247173,
0.04341409355401993,
0.043129563331604004,
-0.1188681572675705,
-0.04677005112171173,
-0.06434269994497299,
-0.017935259267687798,
0.07438279688358307,
0.013579659163951874,
-0.07232222706079483,
-0.07572922110557556,
-0.07908258587121964,
-0.06155241280794144,
-0.013842948712408543,
-0.0519188717007637,
0.004535364918410778,
0.04752637445926666,
0.06690458208322525,
0.007232382893562317,
-0.058718398213386536,
0.06589967757463455,
0.05676829442381859,
-0.02712494507431984,
-0.08392351120710373,
0.04079407826066017,
-0.04985141381621361,
-0.0642596110701561,
0.049074169248342514,
-0.00617071520537138,
-0.04550913721323013,
0.04462064802646637,
-0.05102332681417465,
0.02173665538430214,
-0.009967836551368237,
0.0386449359357357,
0.007859881035983562,
-0.0005113931256346405,
0.08707263320684433,
0.028593560680747032,
0.022672269493341446,
-0.10337842255830765,
0.030667051672935486,
0.0924101322889328,
0.11462722718715668,
0.04626770317554474,
-0.06058197841048241,
0.06860510259866714,
0.01889044977724552,
-0.011083523742854595,
-0.053300559520721436,
0.0336545966565609,
0.02264978736639023,
0.10462085157632828,
0.046623438596725464,
0.03764798864722252,
0.08754415065050125,
-0.011737346649169922,
-0.04079784080386162,
-0.050089266151189804,
-0.04699418693780899,
-1.8247680025814237e-33,
-0.0480063296854496,
0.07919197529554367,
-0.05209243670105934,
0.008088086731731892,
-0.010959697887301445,
-0.04046064615249634,
-0.04959065467119217,
-0.022560378536581993,
-0.0004276796244084835,
0.06331583857536316,
0.025125816464424133,
0.057557113468647,
0.07004319876432419,
0.011025281623005867,
0.09768770635128021,
0.10227492451667786,
-0.058494336903095245,
0.0019233757629990578,
-0.03916395083069801,
0.0015463527524843812,
0.06987237930297852,
-0.06721950322389603,
0.05019889771938324,
-0.03815259784460068,
0.029494784772396088,
-0.03260904923081398,
-0.011007597669959068,
0.006084545515477657,
0.052618879824876785,
-0.02512054517865181,
-0.08189413696527481,
-0.04783491790294647,
0.010301527567207813,
-0.027997232973575592,
0.045925140380859375,
-0.009852820076048374,
0.06105485185980797,
-0.08801618963479996,
0.017159761860966682,
-0.03549610450863838,
-0.03367205709218979,
-0.03289857134222984,
0.05231822654604912,
-0.06326009333133698,
-0.03460711985826492,
-0.03715122863650322,
-0.022128408774733543,
-0.0061642383225262165,
0.0021897603292018175,
-0.07480385899543762,
-0.028081383556127548,
-0.050873953849077225,
-0.0553780198097229,
-0.06937310099601746,
-0.06559071689844131,
-0.08087840676307678,
-0.06868639588356018,
0.06163984164595604,
-0.02020930126309395,
0.11488816142082214,
-0.07780430465936661,
0.04721182584762573,
0.014479292556643486,
-0.0399043932557106,
-0.09943443536758423,
-0.0867682620882988,
-0.016502121463418007,
0.06617149710655212,
0.08684069663286209,
0.017455432564020157,
-0.03247959911823273,
-0.029904892668128014,
-0.06840148568153381,
-0.013612516224384308,
-0.04066690430045128,
-0.03390352800488472,
0.11044454574584961,
0.045332182198762894,
-0.023851001635193825,
0.07250355929136276,
0.02843395620584488,
0.008599238470196724,
0.10857923328876495,
-0.02105991542339325,
0.02331889607012272,
-0.04652459919452667,
-0.03194280341267586,
-0.09988650679588318,
-0.15266382694244385,
0.03957464173436165,
-0.04064781963825226,
0.010556432418525219,
0.018031425774097443,
-0.021349964663386345,
-0.046489328145980835,
-1.7075908686006194e-33,
-0.10209144651889801,
0.020755669102072716,
-0.03434983640909195,
0.09958890825510025,
-0.03545905649662018,
-0.04194209724664688,
-0.007350322790443897,
0.017535768449306488,
-0.03706023842096329,
-0.06531845033168793,
-0.002334984950721264,
0.029245926067233086,
0.07529247552156448,
-0.007624160964041948,
0.011969269253313541,
0.0536000020802021,
-0.008677318692207336,
0.06910329312086105,
-0.056810930371284485,
-0.024358320981264114,
0.011895805597305298,
0.05008858069777489,
0.02694106474518776,
0.030324114486575127,
-0.07465607672929764,
0.03845962882041931,
0.003944039344787598,
-0.04915742948651314,
0.0007826572982594371,
0.04024990648031235,
0.008773917332291603,
0.028952406719326973,
0.02005823701620102,
0.044656671583652496,
-0.05296416953206062,
-0.08262728154659271,
-0.007468756753951311,
0.046332549303770065,
0.015078450553119183,
0.07241100072860718,
0.07697827368974686,
0.06001199036836624,
0.03059335984289646,
-0.04181933403015137,
-0.055303774774074554,
-0.05438222363591194,
-0.05636965483427048,
0.030618686228990555,
0.034802328795194626,
-0.02786090224981308,
0.03902774676680565,
-0.0056183841079473495,
-0.03150413557887077,
-0.06145443767309189,
-0.09474088996648788,
-0.007877211086452007,
-0.025089437142014503,
-0.025612208992242813,
0.08036118745803833,
-0.04684828221797943,
-0.01794707216322422,
0.030465668067336082,
-0.057502008974552155,
0.043673936277627945,
0.04956068471074104,
0.026168489828705788,
0.025350449606776237,
0.018296683207154274,
-0.0993698462843895,
0.07384355366230011,
0.019248012453317642,
0.01103812362998724,
-0.02804557792842388,
0.010886702686548233,
0.03125869855284691,
0.039520591497421265,
0.0603475384414196,
-0.049388013780117035,
-0.03530951961874962,
-0.055342745035886765,
-0.02472628653049469,
0.017222296446561813,
-0.025373758748173714,
0.02419455349445343,
0.05346761271357536,
0.020691966637969017,
-0.038975123316049576,
-0.020055191591382027,
-0.00663354154676199,
0.07120797038078308,
0.03401200845837593,
0.08140560984611511,
0.01124267466366291,
0.04848591610789299,
0.02009717747569084,
-3.9549320263176924e-8,
0.03359910473227501,
0.03747467324137688,
0.07309366017580032,
-0.05789950489997864,
-0.006858715787529945,
0.11592131853103638,
-0.06245012581348419,
-0.00562076224014163,
0.0022494241129606962,
-0.0004721547302324325,
0.05905803665518761,
0.03588968887925148,
-0.07207778841257095,
-0.002218779642134905,
-0.023723021149635315,
0.010399959050118923,
-0.04215019568800926,
-0.030674424022436142,
-0.07587161660194397,
-0.05851246044039726,
-0.019340090453624725,
0.025897445157170296,
-0.027139056473970413,
-0.014007528312504292,
0.010611196979880333,
0.008561179041862488,
0.007031699176877737,
0.07716338336467743,
0.023750608786940575,
-0.02325909025967121,
-0.02451133169233799,
-0.04933605343103409,
0.0054459283128380775,
-0.053730227053165436,
-0.07071533799171448,
0.011947323568165302,
0.004900286439806223,
-0.06277479231357574,
0.06274130940437317,
0.0514741949737072,
-0.017735129222273827,
0.00754157779738307,
-0.004692588001489639,
0.02563576214015484,
-0.013508585281670094,
-0.06196395307779312,
0.022992927581071854,
-0.07230893522500992,
0.019420376047492027,
0.060461848974227905,
0.009907235391438007,
-0.051102809607982635,
0.029096486046910286,
0.10237067192792892,
0.03234926611185074,
0.06316212564706802,
-0.023093296214938164,
0.005703870207071304,
0.13732117414474487,
-0.010547984391450882,
0.06888030469417572,
-0.04150446876883507,
-0.07572271674871445,
-0.03961639106273651
] |
1401.0564 | EPTCS | Nazareno Aguirre (Universidad Nacional de R\'io Cuarto), Leila Ribeiro
(Universidade Federal do Rio Grande do Sul) | Proceedings First Latin American Workshop on Formal Methods | null | EPTCS 139, 2014 | 10.4204/EPTCS.139 | null | cs.SE cs.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Formal approaches to software development are techniques that aim at
developing quality software by employing notations, analysis processes, etc.,
based on mathematical grounds. Although traditionally they aim at increasing
software correctness, formal techniques have been applied to various other
aspects of software quality. Moreover, while originally formal methods employed
complex "heavyweight" mechanisms for analysis (often manual or semi automated),
there has been progress towards embracing "lightweight", many times fully
automated, analysis techniques, that broaden the adoption of formal methods in
various software engineering contexts.
The Latin American Workshop on Formal Methods brings together researchers
working in formal methods, and related areas such as automated analysis. In
particular, the workshop provides a venue for Latin American researchers
working in these areas, to promote their interaction and collaboration.
The workshop was held in August as a satellite event of CONCUR 2013. It took
place in Buenos Aires, Argentina's capital and largest city, and one of the
most interesting cultural places in South America.
| [
{
"created": "Thu, 2 Jan 2014 23:29:24 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Aguirre",
"Nazareno",
"",
"Universidad Nacional de Río Cuarto"
],
[
"Ribeiro",
"Leila",
"",
"Universidade Federal do Rio Grande do Sul"
]
] | [
-0.0461706668138504,
0.04349328577518463,
-0.01298152469098568,
-0.0036577556747943163,
-0.02472410909831524,
-0.08910135924816132,
-0.003062683157622814,
0.06629537791013718,
0.0009083324111998081,
0.03319020941853523,
-0.052249036729335785,
-0.057384565472602844,
0.028974706307053566,
-0.02280684933066368,
-0.00575662637129426,
0.02814168855547905,
-0.035603657364845276,
-0.06565142422914505,
0.05887604504823685,
-0.046541132032871246,
0.011948956176638603,
-0.026985304430127144,
-0.07006952911615372,
0.06650485843420029,
0.026963816955685616,
-0.007796855177730322,
-0.03565257787704468,
-0.07112523168325424,
0.07544510066509247,
0.038836877793073654,
-0.04489101842045784,
0.10480809956789017,
0.050561439245939255,
0.04480868577957153,
-0.014030705206096172,
0.1162773072719574,
-0.00508136535063386,
-0.04091241583228111,
0.0384647361934185,
-0.04344361275434494,
-0.1376936286687851,
0.017126116901636124,
0.0451955571770668,
0.02781631238758564,
-0.02434336580336094,
-0.08410496264696121,
-0.03622029349207878,
0.03483616188168526,
-0.08542455732822418,
0.020764149725437164,
-0.10019489377737045,
0.011273177340626717,
0.006803664844483137,
-0.02503218874335289,
0.0513552650809288,
0.06953277438879013,
0.06358788162469864,
-0.06608270853757858,
0.04476306587457657,
0.010100329294800758,
-0.014308657497167587,
0.01504530105739832,
-0.14079254865646362,
0.036489568650722504,
0.02744281478226185,
-0.00025431232643313706,
-0.002551277168095112,
0.04572482779622078,
0.004629258066415787,
0.0778220072388649,
-0.06237982586026192,
0.0018230986315757036,
-0.019876515492796898,
0.1060851439833641,
-0.047501854598522186,
0.03245634213089943,
-0.048697080463171005,
0.050330448895692825,
-0.01858348213136196,
-0.061701856553554535,
-0.018322747200727463,
0.023620305582880974,
0.013442629016935825,
0.029039693996310234,
0.023113323375582695,
0.04339390620589256,
-0.0008830660954117775,
-0.03003542870283127,
0.05200100317597389,
0.04009697958827019,
-0.011026350781321526,
0.058534301817417145,
0.01999822072684765,
0.01034101564437151,
0.05478167161345482,
-0.019155137240886688,
0.05136580765247345,
-0.014202957972884178,
0.011963511817157269,
0.10987740755081177,
0.039238717406988144,
0.07311523705720901,
-0.0072337789461016655,
-0.16019801795482635,
-0.0653214231133461,
-0.0030598852317780256,
0.07231055945158005,
-0.025609983131289482,
0.038879599422216415,
-0.008757262490689754,
-0.044732362031936646,
-0.07706347852945328,
-0.00579342944547534,
-0.0815233662724495,
-0.05352531373500824,
0.018715159967541695,
0.0032896685879677534,
-0.0006432059453800321,
0.05500579625368118,
-0.017486046999692917,
0.03536639362573624,
-0.0076380143873393536,
0.014111155644059181,
-0.06831755489110947,
0.09370642155408859,
-0.006593623664230108,
0.004787889774888754,
8.994936955434877e-34,
0.007371579296886921,
-0.04993118345737457,
-0.06986367702484131,
0.12111936509609222,
-0.035064660012722015,
-0.0322432667016983,
-0.029158491641283035,
-0.026196995750069618,
-0.041717302054166794,
-0.02766498737037182,
0.07967270165681839,
0.04399694874882698,
-0.0762832835316658,
0.06721393018960953,
0.07988680899143219,
0.047913603484630585,
0.061281781643629074,
0.044243063777685165,
-0.0540824718773365,
-0.04128814488649368,
0.030583612620830536,
-0.0682399570941925,
0.0594758540391922,
0.012436938472092152,
0.046613648533821106,
0.11079367995262146,
0.026418717578053474,
-0.015454712323844433,
0.015204566530883312,
0.015165812335908413,
-0.013233467005193233,
0.018898652866482735,
0.015656601637601852,
0.04475107789039612,
0.027165956795215607,
0.022623760625720024,
0.03312813863158226,
-0.0064165410585701466,
0.011855261400341988,
0.05657590925693512,
-0.0019860793836414814,
0.0009733838378451765,
-0.00843881070613861,
-0.018766339868307114,
0.10233908891677856,
0.02779652178287506,
0.03499278426170349,
0.047625694423913956,
0.06589769572019577,
-0.0030682827346026897,
0.012266299687325954,
0.014828797429800034,
0.07718701660633087,
-0.0021207258105278015,
0.0009670530562289059,
0.08272720128297806,
-0.03951204568147659,
0.005038143135607243,
0.03855793923139572,
0.049859482795000076,
-0.05209549888968468,
0.11165685951709747,
0.019972795620560646,
-0.050922006368637085,
-0.08764169365167618,
0.014871744439005852,
-0.016549130901694298,
-0.02945689484477043,
0.13684681057929993,
-0.021463487297296524,
-0.06228082254528999,
0.015234707854688168,
-0.04147190973162651,
0.038061946630477905,
0.020587343722581863,
-0.056565240025520325,
0.030525321140885353,
-0.06937281787395477,
0.0030407856684178114,
-0.004384348634630442,
-0.10294198244810104,
0.10023529827594757,
0.05970916152000427,
0.008455505594611168,
-0.010937885381281376,
0.01478479616343975,
-0.014503284357488155,
0.10444605350494385,
-0.07167765498161316,
-0.02705749124288559,
-0.07170364260673523,
-0.015652814880013466,
-0.03702075406908989,
0.035711001604795456,
0.04372280463576317,
-4.252578198788112e-33,
-0.0709569901227951,
-0.07360175251960754,
-0.06582508981227875,
0.10429155826568604,
-0.0739612802863121,
-0.0661252811551094,
-0.1167660504579544,
-0.05127057805657387,
0.07364114373922348,
-0.03739951550960541,
0.004976238124072552,
-0.04390598461031914,
-0.013407209888100624,
-0.012710551731288433,
0.05520330369472504,
-0.04934908449649811,
-0.06343935430049896,
-0.07719269394874573,
-0.07992950826883316,
0.04940389096736908,
0.05243329331278801,
0.004922362510114908,
-0.03525005653500557,
-0.070499487221241,
0.06257258355617523,
-0.018245693296194077,
0.0011624820763245225,
-0.008417260833084583,
-0.00785251148045063,
-0.024655306711792946,
0.033835332840681076,
-0.03061460144817829,
-0.03738386183977127,
0.01089347992092371,
-0.005464437883347273,
-0.010076342150568962,
0.08818163722753525,
-0.00143655005376786,
0.0304524227976799,
-0.010076595470309258,
0.07659492641687393,
-0.018098831176757812,
-0.013574699871242046,
-0.057854063808918,
-0.0006701365346089005,
-0.018204718828201294,
-0.07453275471925735,
-0.07231181114912033,
-0.016851166263222694,
-0.05667601898312569,
0.031559765338897705,
-0.1253916621208191,
-0.031178543344140053,
-0.03359458968043327,
0.012873278930783272,
-0.03057333454489708,
0.01586046814918518,
-0.010541679337620735,
-0.03163748234510422,
0.026318112388253212,
-0.07278600335121155,
-0.020256763324141502,
0.03219133988022804,
0.03137814253568649,
-0.013525490649044514,
-0.059034932404756546,
-0.048092320561409,
-0.0005739702610298991,
-0.047826286405324936,
0.09081809967756271,
0.043498069047927856,
0.026225199922919273,
-0.16147583723068237,
0.038857609033584595,
-0.016754133626818657,
0.01762847602367401,
0.051656339317560196,
-0.05088643729686737,
0.018845871090888977,
-0.015682246536016464,
0.010245740413665771,
0.04140927642583847,
0.06300397217273712,
0.01172924879938364,
-0.07684115320444107,
0.02968091145157814,
-0.018600666895508766,
0.034666262567043304,
-0.07365458458662033,
0.08759843558073044,
-0.04990629479289055,
0.005595029331743717,
-0.03245772421360016,
-0.02235395833849907,
-0.14637736976146698,
-4.651025520274743e-8,
0.006478042807430029,
-0.005935096647590399,
0.04240059107542038,
0.002874067984521389,
0.029931923374533653,
0.03253648430109024,
-0.09102120995521545,
0.007691125385463238,
0.019292134791612625,
-0.028447365388274193,
-0.03554247319698334,
-0.0347469300031662,
-0.04365456849336624,
-0.039483293890953064,
-0.03396756201982498,
0.012734921649098396,
-0.010120228864252567,
0.0785641223192215,
-0.11362985521554947,
-0.039161909371614456,
-0.004215615335851908,
0.07379469275474548,
-0.015522551722824574,
0.011967687867581844,
0.037621889263391495,
-0.03683687001466751,
0.015963885933160782,
0.09755877405405045,
-0.026440145447850227,
0.0018441207939758897,
0.009079797193408012,
0.09782154858112335,
0.061472564935684204,
-0.07371372729539871,
0.05384868383407593,
0.06677797436714172,
0.05987584590911865,
0.000815959763713181,
0.038947608321905136,
-0.01444780919700861,
-0.013070468790829182,
0.013272957876324654,
-0.05127459764480591,
-0.03999043256044388,
0.018722286447882652,
-0.03102317452430725,
-0.029000084847211838,
0.007692622020840645,
-0.06649335473775864,
0.014716840349137783,
-0.05393274128437042,
-0.02336801588535309,
-0.09064493328332901,
0.06584194302558899,
0.03440142422914505,
0.02950422465801239,
0.0017076022922992706,
-0.07371687144041061,
0.042583659291267395,
0.004570298362523317,
-0.02047155797481537,
0.08896131068468094,
0.016191208735108376,
-0.002849472686648369
] | null | null | null | null | null | null | null | [
-0.0461706668138504,
0.04349328577518463,
-0.01298152469098568,
-0.0036577556747943163,
-0.02472410909831524,
-0.08910135924816132,
-0.003062683157622814,
0.06629537791013718,
0.0009083324111998081,
0.03319020941853523,
-0.052249036729335785,
-0.057384565472602844,
0.028974706307053566,
-0.02280684933066368,
-0.00575662637129426,
0.02814168855547905,
-0.035603657364845276,
-0.06565142422914505,
0.05887604504823685,
-0.046541132032871246,
0.011948956176638603,
-0.026985304430127144,
-0.07006952911615372,
0.06650485843420029,
0.026963816955685616,
-0.007796855177730322,
-0.03565257787704468,
-0.07112523168325424,
0.07544510066509247,
0.038836877793073654,
-0.04489101842045784,
0.10480809956789017,
0.050561439245939255,
0.04480868577957153,
-0.014030705206096172,
0.1162773072719574,
-0.00508136535063386,
-0.04091241583228111,
0.0384647361934185,
-0.04344361275434494,
-0.1376936286687851,
0.017126116901636124,
0.0451955571770668,
0.02781631238758564,
-0.02434336580336094,
-0.08410496264696121,
-0.03622029349207878,
0.03483616188168526,
-0.08542455732822418,
0.020764149725437164,
-0.10019489377737045,
0.011273177340626717,
0.006803664844483137,
-0.02503218874335289,
0.0513552650809288,
0.06953277438879013,
0.06358788162469864,
-0.06608270853757858,
0.04476306587457657,
0.010100329294800758,
-0.014308657497167587,
0.01504530105739832,
-0.14079254865646362,
0.036489568650722504,
0.02744281478226185,
-0.00025431232643313706,
-0.002551277168095112,
0.04572482779622078,
0.004629258066415787,
0.0778220072388649,
-0.06237982586026192,
0.0018230986315757036,
-0.019876515492796898,
0.1060851439833641,
-0.047501854598522186,
0.03245634213089943,
-0.048697080463171005,
0.050330448895692825,
-0.01858348213136196,
-0.061701856553554535,
-0.018322747200727463,
0.023620305582880974,
0.013442629016935825,
0.029039693996310234,
0.023113323375582695,
0.04339390620589256,
-0.0008830660954117775,
-0.03003542870283127,
0.05200100317597389,
0.04009697958827019,
-0.011026350781321526,
0.058534301817417145,
0.01999822072684765,
0.01034101564437151,
0.05478167161345482,
-0.019155137240886688,
0.05136580765247345,
-0.014202957972884178,
0.011963511817157269,
0.10987740755081177,
0.039238717406988144,
0.07311523705720901,
-0.0072337789461016655,
-0.16019801795482635,
-0.0653214231133461,
-0.0030598852317780256,
0.07231055945158005,
-0.025609983131289482,
0.038879599422216415,
-0.008757262490689754,
-0.044732362031936646,
-0.07706347852945328,
-0.00579342944547534,
-0.0815233662724495,
-0.05352531373500824,
0.018715159967541695,
0.0032896685879677534,
-0.0006432059453800321,
0.05500579625368118,
-0.017486046999692917,
0.03536639362573624,
-0.0076380143873393536,
0.014111155644059181,
-0.06831755489110947,
0.09370642155408859,
-0.006593623664230108,
0.004787889774888754,
8.994936955434877e-34,
0.007371579296886921,
-0.04993118345737457,
-0.06986367702484131,
0.12111936509609222,
-0.035064660012722015,
-0.0322432667016983,
-0.029158491641283035,
-0.026196995750069618,
-0.041717302054166794,
-0.02766498737037182,
0.07967270165681839,
0.04399694874882698,
-0.0762832835316658,
0.06721393018960953,
0.07988680899143219,
0.047913603484630585,
0.061281781643629074,
0.044243063777685165,
-0.0540824718773365,
-0.04128814488649368,
0.030583612620830536,
-0.0682399570941925,
0.0594758540391922,
0.012436938472092152,
0.046613648533821106,
0.11079367995262146,
0.026418717578053474,
-0.015454712323844433,
0.015204566530883312,
0.015165812335908413,
-0.013233467005193233,
0.018898652866482735,
0.015656601637601852,
0.04475107789039612,
0.027165956795215607,
0.022623760625720024,
0.03312813863158226,
-0.0064165410585701466,
0.011855261400341988,
0.05657590925693512,
-0.0019860793836414814,
0.0009733838378451765,
-0.00843881070613861,
-0.018766339868307114,
0.10233908891677856,
0.02779652178287506,
0.03499278426170349,
0.047625694423913956,
0.06589769572019577,
-0.0030682827346026897,
0.012266299687325954,
0.014828797429800034,
0.07718701660633087,
-0.0021207258105278015,
0.0009670530562289059,
0.08272720128297806,
-0.03951204568147659,
0.005038143135607243,
0.03855793923139572,
0.049859482795000076,
-0.05209549888968468,
0.11165685951709747,
0.019972795620560646,
-0.050922006368637085,
-0.08764169365167618,
0.014871744439005852,
-0.016549130901694298,
-0.02945689484477043,
0.13684681057929993,
-0.021463487297296524,
-0.06228082254528999,
0.015234707854688168,
-0.04147190973162651,
0.038061946630477905,
0.020587343722581863,
-0.056565240025520325,
0.030525321140885353,
-0.06937281787395477,
0.0030407856684178114,
-0.004384348634630442,
-0.10294198244810104,
0.10023529827594757,
0.05970916152000427,
0.008455505594611168,
-0.010937885381281376,
0.01478479616343975,
-0.014503284357488155,
0.10444605350494385,
-0.07167765498161316,
-0.02705749124288559,
-0.07170364260673523,
-0.015652814880013466,
-0.03702075406908989,
0.035711001604795456,
0.04372280463576317,
-4.252578198788112e-33,
-0.0709569901227951,
-0.07360175251960754,
-0.06582508981227875,
0.10429155826568604,
-0.0739612802863121,
-0.0661252811551094,
-0.1167660504579544,
-0.05127057805657387,
0.07364114373922348,
-0.03739951550960541,
0.004976238124072552,
-0.04390598461031914,
-0.013407209888100624,
-0.012710551731288433,
0.05520330369472504,
-0.04934908449649811,
-0.06343935430049896,
-0.07719269394874573,
-0.07992950826883316,
0.04940389096736908,
0.05243329331278801,
0.004922362510114908,
-0.03525005653500557,
-0.070499487221241,
0.06257258355617523,
-0.018245693296194077,
0.0011624820763245225,
-0.008417260833084583,
-0.00785251148045063,
-0.024655306711792946,
0.033835332840681076,
-0.03061460144817829,
-0.03738386183977127,
0.01089347992092371,
-0.005464437883347273,
-0.010076342150568962,
0.08818163722753525,
-0.00143655005376786,
0.0304524227976799,
-0.010076595470309258,
0.07659492641687393,
-0.018098831176757812,
-0.013574699871242046,
-0.057854063808918,
-0.0006701365346089005,
-0.018204718828201294,
-0.07453275471925735,
-0.07231181114912033,
-0.016851166263222694,
-0.05667601898312569,
0.031559765338897705,
-0.1253916621208191,
-0.031178543344140053,
-0.03359458968043327,
0.012873278930783272,
-0.03057333454489708,
0.01586046814918518,
-0.010541679337620735,
-0.03163748234510422,
0.026318112388253212,
-0.07278600335121155,
-0.020256763324141502,
0.03219133988022804,
0.03137814253568649,
-0.013525490649044514,
-0.059034932404756546,
-0.048092320561409,
-0.0005739702610298991,
-0.047826286405324936,
0.09081809967756271,
0.043498069047927856,
0.026225199922919273,
-0.16147583723068237,
0.038857609033584595,
-0.016754133626818657,
0.01762847602367401,
0.051656339317560196,
-0.05088643729686737,
0.018845871090888977,
-0.015682246536016464,
0.010245740413665771,
0.04140927642583847,
0.06300397217273712,
0.01172924879938364,
-0.07684115320444107,
0.02968091145157814,
-0.018600666895508766,
0.034666262567043304,
-0.07365458458662033,
0.08759843558073044,
-0.04990629479289055,
0.005595029331743717,
-0.03245772421360016,
-0.02235395833849907,
-0.14637736976146698,
-4.651025520274743e-8,
0.006478042807430029,
-0.005935096647590399,
0.04240059107542038,
0.002874067984521389,
0.029931923374533653,
0.03253648430109024,
-0.09102120995521545,
0.007691125385463238,
0.019292134791612625,
-0.028447365388274193,
-0.03554247319698334,
-0.0347469300031662,
-0.04365456849336624,
-0.039483293890953064,
-0.03396756201982498,
0.012734921649098396,
-0.010120228864252567,
0.0785641223192215,
-0.11362985521554947,
-0.039161909371614456,
-0.004215615335851908,
0.07379469275474548,
-0.015522551722824574,
0.011967687867581844,
0.037621889263391495,
-0.03683687001466751,
0.015963885933160782,
0.09755877405405045,
-0.026440145447850227,
0.0018441207939758897,
0.009079797193408012,
0.09782154858112335,
0.061472564935684204,
-0.07371372729539871,
0.05384868383407593,
0.06677797436714172,
0.05987584590911865,
0.000815959763713181,
0.038947608321905136,
-0.01444780919700861,
-0.013070468790829182,
0.013272957876324654,
-0.05127459764480591,
-0.03999043256044388,
0.018722286447882652,
-0.03102317452430725,
-0.029000084847211838,
0.007692622020840645,
-0.06649335473775864,
0.014716840349137783,
-0.05393274128437042,
-0.02336801588535309,
-0.09064493328332901,
0.06584194302558899,
0.03440142422914505,
0.02950422465801239,
0.0017076022922992706,
-0.07371687144041061,
0.042583659291267395,
0.004570298362523317,
-0.02047155797481537,
0.08896131068468094,
0.016191208735108376,
-0.002849472686648369
] |
1401.0565 | Rona Oran | R. Oran, E. Landi, B. van der Holst, I. V. Sokolov, T. I. Gombosi | Alfv\'en Wave Turbulence as a Coronal Heating Mechanism: Simultaneously
Predicting the Heating Rate and the Wave-Induced Emission Line Broadening | Submitted to the Astrophysical Journal | null | null | null | astro-ph.SR physics.space-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present work, we test the predictions of the AWSoM model, a global
extended-MHD model capable of calculating the propagation and turbulent
dissipation of Alfv\'en waves in any magnetic topology, against high resolution
spectra of the quiescent off-disk solar corona. Wave dissipation is the only
heating mechanism assumed in this model. Combining 3D model results with the
CHIANTI atomic database, we were able to create synthetic line-of-sight spectra
which include the effects of emission line broadening due to both thermal and
wave-related non-thermal motions. To the best of our knowledge this is the
first time a global model is used to obtain synthetic non-thermal line
broadening. We obtained a steady-state solution driven by a synoptic
magnetogram and compared the synthetic spectra with SUMER observations of a
quiescent area above the solar west limb extending between 1.04 and 1.34 solar
radii at the equator. Both the predicted line widths and the total line fluxes
were consistent with the observations for 5 different ions. Using the 3D
solution, we were able to locate the region that contributes the most to the
emission used for measuring electron properties; we found that region to be a
pseudo-streamer, whose modeled electron temperature and density are consistent
with the measured ones. We conclude that the turbulent dissipation assumed in
the AWSoM model can simultaneously account for the observed heating rate and
the non-dissipated wave energy observed in this region.
| [
{
"created": "Thu, 2 Jan 2014 23:39:39 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Oran",
"R.",
""
],
[
"Landi",
"E.",
""
],
[
"van der Holst",
"B.",
""
],
[
"Sokolov",
"I. V.",
""
],
[
"Gombosi",
"T. I.",
""
]
] | [
-0.06154145672917366,
-0.02508651465177536,
0.007997159846127033,
0.04084492474794388,
0.002284452086314559,
-0.0568963959813118,
-0.05064152926206589,
0.027344197034835815,
0.007071836851537228,
-0.0012503417674452066,
-0.04482218623161316,
-0.07857217639684677,
-0.01976541057229042,
-0.08528576791286469,
0.10588600486516953,
0.009994115680456161,
-0.00814888160675764,
-0.090817391872406,
0.00300394999794662,
0.031506411731243134,
-0.0070762126706540585,
-0.017119552940130234,
-0.05856343358755112,
-0.005510786548256874,
0.08050528913736343,
0.005889169871807098,
0.016728460788726807,
-0.008398927748203278,
-0.08052187412977219,
0.04547315835952759,
0.06834123283624649,
0.08089002221822739,
-0.11866821348667145,
0.04497358947992325,
0.02887633442878723,
-0.02473381534218788,
0.0097134904935956,
-0.011334857903420925,
-0.024192214012145996,
0.03687398508191109,
0.013723406940698624,
-0.0735633447766304,
0.019647037610411644,
-0.035997048020362854,
0.030857795849442482,
-0.027099397033452988,
0.05801349878311157,
-0.08939516544342041,
-0.008478903211653233,
0.030525607988238335,
0.005006093066185713,
0.061503373086452484,
-0.0175960473716259,
0.06024060398340225,
-0.02274613454937935,
0.04641121253371239,
0.035239916294813156,
-0.03299110010266304,
0.020453087985515594,
-0.0070341224782168865,
0.011945120058953762,
-0.07233818620443344,
-0.04607875645160675,
-0.02635265327990055,
-0.032510921359062195,
-0.04605138301849365,
-0.04257802665233612,
0.01758980005979538,
0.08934082090854645,
-0.03386889770627022,
-0.038561850786209106,
0.01845015026628971,
-0.04146730899810791,
-0.09803953021764755,
-0.029249442741274834,
0.047479551285505295,
0.07985465228557587,
0.03659138083457947,
0.08683700114488602,
-0.11045026034116745,
-0.055312298238277435,
0.07297347486019135,
-0.05311846733093262,
0.006655732169747353,
-0.023572184145450592,
0.18072609603405,
0.0011904372368007898,
-0.031188402324914932,
0.011218499392271042,
0.00749681331217289,
0.03808034583926201,
-0.05166156589984894,
-0.10850304365158081,
-0.012943577021360397,
-0.018972177058458328,
0.04615220054984093,
0.049643464386463165,
-0.08083945512771606,
0.0770459696650505,
0.03214632347226143,
0.09133783727884293,
0.023104103282094002,
-0.030991220846772194,
0.05180966481566429,
-0.03976980596780777,
0.10791785269975662,
0.10400920361280441,
0.08509435504674911,
-0.11135286092758179,
-0.0342358835041523,
0.03630118444561958,
0.0020146656315773726,
-0.02360627055168152,
-0.08260759711265564,
0.08777876943349838,
0.09022556990385056,
0.015394868329167366,
0.024360792711377144,
-0.05269206315279007,
0.016323357820510864,
-0.053796544671058655,
0.04945111647248268,
0.08658002316951752,
0.137569397687912,
0.01570437103509903,
0.053392454981803894,
0.008032555691897869,
4.305799532041057e-34,
0.017846327275037766,
0.03506854176521301,
0.03184373304247856,
0.0013954169116914272,
-0.006783700548112392,
0.05781282112002373,
-0.0779782384634018,
0.09215456992387772,
-0.10077283531427383,
0.02125094085931778,
-0.017518769949674606,
0.03131497651338577,
0.044581376016139984,
-0.005871277768164873,
0.030265040695667267,
-0.035946767777204514,
0.03897906467318535,
-0.01971983164548874,
-0.08207095414400101,
0.015997350215911865,
-0.050399236381053925,
0.04211801290512085,
0.04720500111579895,
-0.0401957668364048,
-0.009118424728512764,
0.032571014016866684,
0.0734025165438652,
-0.019305309280753136,
-0.042231179773807526,
0.03832926228642464,
0.021634558215737343,
-0.046599794179201126,
-0.033342719078063965,
-0.0067639220505952835,
-0.030123135074973106,
-0.019560102373361588,
-0.07806825637817383,
0.02094626985490322,
-0.0378730334341526,
-0.041871875524520874,
0.046852875500917435,
0.05343470722436905,
0.033868417143821716,
0.0697215124964714,
-0.027714891359210014,
0.039586327970027924,
0.029657350853085518,
0.004863697569817305,
0.003311275504529476,
-0.0033780778758227825,
-0.0012534826528280973,
-0.0049423277378082275,
-0.026334621012210846,
-0.0007439052569679916,
0.034957293421030045,
0.013085962273180485,
0.02568589523434639,
-0.02232356369495392,
-0.000017754406144376844,
0.007140742149204016,
-0.013322202488780022,
-0.01774071343243122,
-0.011003784835338593,
0.025700971484184265,
-0.06538715213537216,
0.1043526753783226,
-0.06994573026895523,
0.046682797372341156,
0.040318094193935394,
-0.02010980434715748,
0.017644457519054413,
0.10474269837141037,
0.1207781732082367,
0.07021065056324005,
0.08833444118499756,
-0.04338767006993294,
-0.040644459426403046,
0.019481509923934937,
0.029538001865148544,
0.05240543931722641,
-0.03667348995804787,
-0.019207477569580078,
0.012102332897484303,
-0.018578454852104187,
-0.04519820585846901,
-0.0004162400437053293,
-0.05401095747947693,
-0.027416542172431946,
-0.026801176369190216,
-0.02140679769217968,
-0.012767084874212742,
0.03423275798559189,
0.06624296307563782,
-0.04100499674677849,
-0.11090710014104843,
-2.1457677754711507e-33,
-0.01785731129348278,
0.025273896753787994,
-0.007072294596582651,
-0.08268389850854874,
-0.013131311163306236,
0.056894294917583466,
-0.012584393844008446,
0.08743385970592499,
-0.04717250168323517,
-0.056441135704517365,
0.06948255747556686,
0.023534512147307396,
-0.017441628500819206,
-0.12417522817850113,
0.012422558851540089,
-0.05077784135937691,
-0.022827129811048508,
-0.006216816138476133,
0.10052961111068726,
0.021154262125492096,
0.04813387617468834,
-0.11239934712648392,
0.01657726988196373,
-0.05176837369799614,
-0.04764087498188019,
-0.0010651128832250834,
-0.00300645106472075,
-0.024382049217820168,
-0.0014604023890569806,
0.07222796231508255,
-0.03306053206324577,
0.06975867599248886,
-0.09573259204626083,
0.002778563415631652,
0.0016334356041625142,
-0.012115146964788437,
-0.02881195954978466,
-0.005348859820514917,
-0.0014888838632032275,
-0.06581984460353851,
-0.05452646687626839,
0.0522572286427021,
0.03614421561360359,
-0.05028053745627403,
0.016917111352086067,
0.05997934564948082,
-0.11995495855808258,
0.06496910750865936,
-0.005839233752340078,
0.015067892149090767,
-0.0758896991610527,
-0.06503631174564362,
-0.00014420687512028962,
0.07747365534305573,
-0.0036451586056500673,
0.025819700211286545,
0.021787291392683983,
0.050446800887584686,
0.00029718485893681645,
-0.01680736616253853,
-0.004925616085529327,
-0.10184546560049057,
0.06697887182235718,
-0.08020466566085815,
0.005419362336397171,
-0.048366498202085495,
0.0006464304751716554,
0.03747944161295891,
0.02737561985850334,
-0.011654050089418888,
0.04895684868097305,
-0.04978863522410393,
-0.03590769320726395,
-0.00219792895950377,
0.04082635045051575,
0.038537561893463135,
0.0896196961402893,
-0.12436509877443314,
-0.03609095886349678,
0.04174932837486267,
-0.043673302978277206,
0.04341280087828636,
0.0018825046718120575,
-0.03339656442403793,
0.06633909791707993,
0.01776580698788166,
-0.04707541689276695,
-0.014978429302573204,
-0.029313845559954643,
0.05391181260347366,
0.03425833582878113,
-0.03080715984106064,
-0.0012017071712762117,
-0.019342001527547836,
-0.0643390491604805,
-5.467554942129027e-8,
0.0005443345871753991,
-0.06684291362762451,
0.051817115396261215,
0.008254537358880043,
-0.005053090862929821,
0.07600966095924377,
-0.026751112192869186,
-0.006876104045659304,
0.024337826296687126,
-0.06356031447649002,
0.07388107478618622,
-0.009283806197345257,
0.00912901759147644,
0.02393634244799614,
-0.041530050337314606,
0.0028630176093429327,
0.01425543799996376,
-0.09699977934360504,
0.006013433448970318,
0.02210807055234909,
0.04294807091355324,
0.042190998792648315,
0.006156880408525467,
0.049623675644397736,
0.03894936665892601,
0.06167008355259895,
-0.05862840265035629,
0.030612045899033546,
-0.04876638203859329,
-0.03914603963494301,
-0.009711592458188534,
-0.02039308473467827,
0.05766044929623604,
0.018921496346592903,
-0.04510067403316498,
0.021874230355024338,
-0.06778165698051453,
0.03546722233295441,
-0.02881912887096405,
0.05964500084519386,
0.04221275448799133,
0.05098880082368851,
0.03621375560760498,
-0.013075897470116615,
0.058110371232032776,
-0.009759065695106983,
-0.010723692364990711,
-0.07507611066102982,
-0.027071723714470863,
0.07919637113809586,
0.02388579025864601,
0.0287473164498806,
0.0022692480124533176,
-0.08847609907388687,
-0.11203238368034363,
-0.017590489238500595,
-0.0992642492055893,
-0.05077621340751648,
0.021062500774860382,
0.001650081598199904,
0.06339655071496964,
-0.020690161734819412,
-0.1573691964149475,
0.012603661976754665
] | null | null | null | null | null | null | null | [
-0.06154145672917366,
-0.02508651465177536,
0.007997159846127033,
0.04084492474794388,
0.002284452086314559,
-0.0568963959813118,
-0.05064152926206589,
0.027344197034835815,
0.007071836851537228,
-0.0012503417674452066,
-0.04482218623161316,
-0.07857217639684677,
-0.01976541057229042,
-0.08528576791286469,
0.10588600486516953,
0.009994115680456161,
-0.00814888160675764,
-0.090817391872406,
0.00300394999794662,
0.031506411731243134,
-0.0070762126706540585,
-0.017119552940130234,
-0.05856343358755112,
-0.005510786548256874,
0.08050528913736343,
0.005889169871807098,
0.016728460788726807,
-0.008398927748203278,
-0.08052187412977219,
0.04547315835952759,
0.06834123283624649,
0.08089002221822739,
-0.11866821348667145,
0.04497358947992325,
0.02887633442878723,
-0.02473381534218788,
0.0097134904935956,
-0.011334857903420925,
-0.024192214012145996,
0.03687398508191109,
0.013723406940698624,
-0.0735633447766304,
0.019647037610411644,
-0.035997048020362854,
0.030857795849442482,
-0.027099397033452988,
0.05801349878311157,
-0.08939516544342041,
-0.008478903211653233,
0.030525607988238335,
0.005006093066185713,
0.061503373086452484,
-0.0175960473716259,
0.06024060398340225,
-0.02274613454937935,
0.04641121253371239,
0.035239916294813156,
-0.03299110010266304,
0.020453087985515594,
-0.0070341224782168865,
0.011945120058953762,
-0.07233818620443344,
-0.04607875645160675,
-0.02635265327990055,
-0.032510921359062195,
-0.04605138301849365,
-0.04257802665233612,
0.01758980005979538,
0.08934082090854645,
-0.03386889770627022,
-0.038561850786209106,
0.01845015026628971,
-0.04146730899810791,
-0.09803953021764755,
-0.029249442741274834,
0.047479551285505295,
0.07985465228557587,
0.03659138083457947,
0.08683700114488602,
-0.11045026034116745,
-0.055312298238277435,
0.07297347486019135,
-0.05311846733093262,
0.006655732169747353,
-0.023572184145450592,
0.18072609603405,
0.0011904372368007898,
-0.031188402324914932,
0.011218499392271042,
0.00749681331217289,
0.03808034583926201,
-0.05166156589984894,
-0.10850304365158081,
-0.012943577021360397,
-0.018972177058458328,
0.04615220054984093,
0.049643464386463165,
-0.08083945512771606,
0.0770459696650505,
0.03214632347226143,
0.09133783727884293,
0.023104103282094002,
-0.030991220846772194,
0.05180966481566429,
-0.03976980596780777,
0.10791785269975662,
0.10400920361280441,
0.08509435504674911,
-0.11135286092758179,
-0.0342358835041523,
0.03630118444561958,
0.0020146656315773726,
-0.02360627055168152,
-0.08260759711265564,
0.08777876943349838,
0.09022556990385056,
0.015394868329167366,
0.024360792711377144,
-0.05269206315279007,
0.016323357820510864,
-0.053796544671058655,
0.04945111647248268,
0.08658002316951752,
0.137569397687912,
0.01570437103509903,
0.053392454981803894,
0.008032555691897869,
4.305799532041057e-34,
0.017846327275037766,
0.03506854176521301,
0.03184373304247856,
0.0013954169116914272,
-0.006783700548112392,
0.05781282112002373,
-0.0779782384634018,
0.09215456992387772,
-0.10077283531427383,
0.02125094085931778,
-0.017518769949674606,
0.03131497651338577,
0.044581376016139984,
-0.005871277768164873,
0.030265040695667267,
-0.035946767777204514,
0.03897906467318535,
-0.01971983164548874,
-0.08207095414400101,
0.015997350215911865,
-0.050399236381053925,
0.04211801290512085,
0.04720500111579895,
-0.0401957668364048,
-0.009118424728512764,
0.032571014016866684,
0.0734025165438652,
-0.019305309280753136,
-0.042231179773807526,
0.03832926228642464,
0.021634558215737343,
-0.046599794179201126,
-0.033342719078063965,
-0.0067639220505952835,
-0.030123135074973106,
-0.019560102373361588,
-0.07806825637817383,
0.02094626985490322,
-0.0378730334341526,
-0.041871875524520874,
0.046852875500917435,
0.05343470722436905,
0.033868417143821716,
0.0697215124964714,
-0.027714891359210014,
0.039586327970027924,
0.029657350853085518,
0.004863697569817305,
0.003311275504529476,
-0.0033780778758227825,
-0.0012534826528280973,
-0.0049423277378082275,
-0.026334621012210846,
-0.0007439052569679916,
0.034957293421030045,
0.013085962273180485,
0.02568589523434639,
-0.02232356369495392,
-0.000017754406144376844,
0.007140742149204016,
-0.013322202488780022,
-0.01774071343243122,
-0.011003784835338593,
0.025700971484184265,
-0.06538715213537216,
0.1043526753783226,
-0.06994573026895523,
0.046682797372341156,
0.040318094193935394,
-0.02010980434715748,
0.017644457519054413,
0.10474269837141037,
0.1207781732082367,
0.07021065056324005,
0.08833444118499756,
-0.04338767006993294,
-0.040644459426403046,
0.019481509923934937,
0.029538001865148544,
0.05240543931722641,
-0.03667348995804787,
-0.019207477569580078,
0.012102332897484303,
-0.018578454852104187,
-0.04519820585846901,
-0.0004162400437053293,
-0.05401095747947693,
-0.027416542172431946,
-0.026801176369190216,
-0.02140679769217968,
-0.012767084874212742,
0.03423275798559189,
0.06624296307563782,
-0.04100499674677849,
-0.11090710014104843,
-2.1457677754711507e-33,
-0.01785731129348278,
0.025273896753787994,
-0.007072294596582651,
-0.08268389850854874,
-0.013131311163306236,
0.056894294917583466,
-0.012584393844008446,
0.08743385970592499,
-0.04717250168323517,
-0.056441135704517365,
0.06948255747556686,
0.023534512147307396,
-0.017441628500819206,
-0.12417522817850113,
0.012422558851540089,
-0.05077784135937691,
-0.022827129811048508,
-0.006216816138476133,
0.10052961111068726,
0.021154262125492096,
0.04813387617468834,
-0.11239934712648392,
0.01657726988196373,
-0.05176837369799614,
-0.04764087498188019,
-0.0010651128832250834,
-0.00300645106472075,
-0.024382049217820168,
-0.0014604023890569806,
0.07222796231508255,
-0.03306053206324577,
0.06975867599248886,
-0.09573259204626083,
0.002778563415631652,
0.0016334356041625142,
-0.012115146964788437,
-0.02881195954978466,
-0.005348859820514917,
-0.0014888838632032275,
-0.06581984460353851,
-0.05452646687626839,
0.0522572286427021,
0.03614421561360359,
-0.05028053745627403,
0.016917111352086067,
0.05997934564948082,
-0.11995495855808258,
0.06496910750865936,
-0.005839233752340078,
0.015067892149090767,
-0.0758896991610527,
-0.06503631174564362,
-0.00014420687512028962,
0.07747365534305573,
-0.0036451586056500673,
0.025819700211286545,
0.021787291392683983,
0.050446800887584686,
0.00029718485893681645,
-0.01680736616253853,
-0.004925616085529327,
-0.10184546560049057,
0.06697887182235718,
-0.08020466566085815,
0.005419362336397171,
-0.048366498202085495,
0.0006464304751716554,
0.03747944161295891,
0.02737561985850334,
-0.011654050089418888,
0.04895684868097305,
-0.04978863522410393,
-0.03590769320726395,
-0.00219792895950377,
0.04082635045051575,
0.038537561893463135,
0.0896196961402893,
-0.12436509877443314,
-0.03609095886349678,
0.04174932837486267,
-0.043673302978277206,
0.04341280087828636,
0.0018825046718120575,
-0.03339656442403793,
0.06633909791707993,
0.01776580698788166,
-0.04707541689276695,
-0.014978429302573204,
-0.029313845559954643,
0.05391181260347366,
0.03425833582878113,
-0.03080715984106064,
-0.0012017071712762117,
-0.019342001527547836,
-0.0643390491604805,
-5.467554942129027e-8,
0.0005443345871753991,
-0.06684291362762451,
0.051817115396261215,
0.008254537358880043,
-0.005053090862929821,
0.07600966095924377,
-0.026751112192869186,
-0.006876104045659304,
0.024337826296687126,
-0.06356031447649002,
0.07388107478618622,
-0.009283806197345257,
0.00912901759147644,
0.02393634244799614,
-0.041530050337314606,
0.0028630176093429327,
0.01425543799996376,
-0.09699977934360504,
0.006013433448970318,
0.02210807055234909,
0.04294807091355324,
0.042190998792648315,
0.006156880408525467,
0.049623675644397736,
0.03894936665892601,
0.06167008355259895,
-0.05862840265035629,
0.030612045899033546,
-0.04876638203859329,
-0.03914603963494301,
-0.009711592458188534,
-0.02039308473467827,
0.05766044929623604,
0.018921496346592903,
-0.04510067403316498,
0.021874230355024338,
-0.06778165698051453,
0.03546722233295441,
-0.02881912887096405,
0.05964500084519386,
0.04221275448799133,
0.05098880082368851,
0.03621375560760498,
-0.013075897470116615,
0.058110371232032776,
-0.009759065695106983,
-0.010723692364990711,
-0.07507611066102982,
-0.027071723714470863,
0.07919637113809586,
0.02388579025864601,
0.0287473164498806,
0.0022692480124533176,
-0.08847609907388687,
-0.11203238368034363,
-0.017590489238500595,
-0.0992642492055893,
-0.05077621340751648,
0.021062500774860382,
0.001650081598199904,
0.06339655071496964,
-0.020690161734819412,
-0.1573691964149475,
0.012603661976754665
] |
1401.0569 | Son Doan | Son Doan, Mike Conway, Tu Minh Phuong, Lucila Ohno-Machado | Natural Language Processing in Biomedicine: A Unified System
Architecture Overview | 25 pages, 5 figures, book chapter in Clinical Bioinformatics, 2014,
edited by Ronand Trent | null | 10.1007/978-1-4939-0847-9_16 | null | cs.CL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In modern electronic medical records (EMR) much of the clinically important
data - signs and symptoms, symptom severity, disease status, etc. - are not
provided in structured data fields, but rather are encoded in clinician
generated narrative text. Natural language processing (NLP) provides a means of
"unlocking" this important data source for applications in clinical decision
support, quality assurance, and public health. This chapter provides an
overview of representative NLP systems in biomedicine based on a unified
architectural view. A general architecture in an NLP system consists of two
main components: background knowledge that includes biomedical knowledge
resources and a framework that integrates NLP tools to process text. Systems
differ in both components, which we will review briefly. Additionally,
challenges facing current research efforts in biomedical NLP include the
paucity of large, publicly available annotated corpora, although initiatives
that facilitate data sharing, system evaluation, and collaborative work between
researchers in clinical NLP are starting to emerge.
| [
{
"created": "Fri, 3 Jan 2014 00:57:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jan 2014 19:00:04 GMT",
"version": "v2"
}
] | 2014-08-10 | [
[
"Doan",
"Son",
""
],
[
"Conway",
"Mike",
""
],
[
"Phuong",
"Tu Minh",
""
],
[
"Ohno-Machado",
"Lucila",
""
]
] | [
0.008098547346889973,
0.05215849354863167,
-0.007642743177711964,
-0.03194879740476608,
-0.01059973519295454,
-0.009800008498132229,
-0.031107470393180847,
0.10827213525772095,
0.03612828999757767,
-0.013612307608127594,
-0.05953475832939148,
-0.017333386465907097,
-0.0007938405033200979,
0.05179377272725105,
-0.000590903393458575,
0.055435895919799805,
-0.035345397889614105,
-0.01854582503437996,
-0.0342160202562809,
0.031200837343931198,
0.028150688856840134,
0.16671068966388702,
0.002097855322062969,
0.03326544165611267,
0.019811630249023438,
0.03612617030739784,
-0.023876391351222992,
-0.0732608214020729,
0.011442190036177635,
0.023497413843870163,
0.05702908709645271,
-0.018078787252306938,
0.08268998563289642,
0.09101832658052444,
-0.0065003810450434685,
0.01561493519693613,
-0.03621339052915573,
0.07023750245571136,
-0.05486402288079262,
-0.024370666593313217,
-0.03460737317800522,
-0.06384512782096863,
0.03388631343841553,
0.11964268982410431,
0.0970207154750824,
-0.027092833071947098,
-0.09418604522943497,
0.05481472983956337,
0.028678668662905693,
0.042505934834480286,
-0.14171245694160461,
-0.07111060619354248,
0.06408905982971191,
0.10625815391540527,
-0.025411657989025116,
0.06366804987192154,
-0.03904936835169792,
-0.07604392617940903,
-0.15094159543514252,
-0.10269294679164886,
-0.02882089652121067,
-0.034510426223278046,
0.020281802862882614,
0.013120094314217567,
-0.030595650896430016,
-0.021227186545729637,
-0.017763663083314896,
0.030605696141719818,
-0.021756639704108238,
-0.01993597485125065,
-0.06622884422540665,
0.03523389995098114,
0.0181582011282444,
0.1278073936700821,
-0.06184585392475128,
0.040084633976221085,
0.012850172817707062,
-0.004308300092816353,
0.06001722067594528,
-0.0565214566886425,
0.05276649072766304,
0.0645124539732933,
0.07692653685808182,
0.06663051247596741,
0.052823130041360855,
-0.003181230276823044,
0.07787610590457916,
0.0492229163646698,
-0.10367175191640854,
-0.008563589304685593,
-0.007341346237808466,
-0.07616539299488068,
0.1253499835729599,
-0.021603204309940338,
-0.03611855208873749,
0.01533137634396553,
-0.030742904171347618,
-0.09826034307479858,
0.01903407648205757,
0.03336319327354431,
-0.011379238218069077,
0.041243426501750946,
0.032220508903265,
-0.03825199231505394,
-0.0920291617512703,
-0.04302680492401123,
-0.007977535016834736,
-0.0011744791409000754,
0.03269895166158676,
-0.025907166302204132,
0.032309357076883316,
0.060267895460128784,
-0.041089098900556564,
-0.044892869889736176,
0.06854286789894104,
-0.027061549946665764,
-0.028468357399106026,
-0.024333128705620766,
0.07901309430599213,
0.05699867382645607,
-0.08248977363109589,
-0.019200600683689117,
-0.06106341630220413,
0.01333469245582819,
0.010603858157992363,
0.03366292640566826,
0.055272046476602554,
1.726263412692439e-33,
0.07602501660585403,
0.02264314331114292,
0.017918124794960022,
0.02797657996416092,
0.049968015402555466,
-0.010389893315732479,
-0.06354905664920807,
-0.007691938895732164,
-0.10199205577373505,
-0.05355105549097061,
0.008525237441062927,
-0.0037402412854135036,
0.03140123188495636,
0.03075260855257511,
-0.03546642139554024,
0.01920294389128685,
-0.09627154469490051,
0.05671076104044914,
0.01386436726897955,
0.026028096675872803,
-0.048910435289144516,
0.007847589440643787,
-0.0321001298725605,
0.06064927950501442,
-0.03840545937418938,
0.01959376595914364,
0.0010920908534899354,
-0.007848342880606651,
0.024540839716792107,
-0.021921943873167038,
-0.07398787140846252,
-0.011646782048046589,
0.09734850376844406,
-0.045797914266586304,
0.02097565121948719,
-0.006512840278446674,
0.007467626128345728,
-0.0437050387263298,
0.05676911398768425,
0.011446435004472733,
-0.07338442653417587,
0.022628817707300186,
-0.014077178202569485,
0.0032595405355095863,
0.05102834478020668,
-0.008083544671535492,
-0.05991855636239052,
0.020262951031327248,
0.015213276259601116,
-0.07007146626710892,
0.08323962241411209,
-0.026121333241462708,
0.0461510606110096,
0.026721740141510963,
0.06024070456624031,
0.020672785118222237,
-0.047293197363615036,
0.029850803315639496,
0.03423985838890076,
0.025401530787348747,
0.09332185238599777,
0.06593044847249985,
0.038249045610427856,
-0.028779467567801476,
-0.024637382477521896,
-0.00935453176498413,
-0.016299888491630554,
-0.023684494197368622,
0.03128049150109291,
-0.02421262301504612,
-0.06640157103538513,
0.041359059512615204,
-0.008415892720222473,
0.03557475283741951,
-0.004810028243809938,
0.02352072112262249,
0.03692197427153587,
-0.08673445880413055,
-0.041285399347543716,
0.07161536067724228,
-0.020260058343410492,
-0.05382375046610832,
-0.04798315837979317,
0.051808785647153854,
0.03047802485525608,
-0.06571082025766373,
-0.025699814781546593,
0.0326409712433815,
-0.09762174636125565,
-0.03624515235424042,
-0.029267100617289543,
0.05977144092321396,
-0.03963327035307884,
0.0577813945710659,
0.020539097487926483,
-2.8360195276419364e-33,
-0.010325019247829914,
-0.01883830316364765,
-0.04794526845216751,
0.022696401923894882,
0.032913971692323685,
-0.04543062672019005,
-0.021716786548495293,
-0.03270591050386429,
0.12131959944963455,
-0.015081046149134636,
0.019801640883088112,
-0.06500382721424103,
0.016094543039798737,
-0.0362984836101532,
-0.0009523879853077233,
0.011218794621527195,
-0.06251119822263718,
0.03132276237010956,
-0.023882899433374405,
0.1136755645275116,
-0.0022559170611202717,
0.08397276699542999,
-0.0985400602221489,
0.07352239638566971,
0.027706576511263847,
0.04291645437479019,
-0.017388327047228813,
-0.002133307745680213,
-0.028558971360325813,
-0.121233269572258,
-0.029048265889286995,
-0.017440607771277428,
-0.02345205284655094,
-0.07427380234003067,
-0.061413198709487915,
-0.016235826537013054,
0.027484172955155373,
-0.09303370118141174,
0.02818271704018116,
-0.0318310521543026,
0.06528718024492264,
0.038935769349336624,
-0.13798245787620544,
-0.025897299870848656,
-0.00720421364530921,
-0.04426336660981178,
-0.09885002672672272,
0.01132525596767664,
0.033191800117492676,
0.020291246473789215,
-0.019205087795853615,
-0.07025356590747833,
-0.0353597030043602,
-0.00022910695406608284,
-0.022831343114376068,
-0.12522868812084198,
-0.028487203642725945,
-0.059560805559158325,
-0.03901778534054756,
-0.022008858621120453,
-0.047469254583120346,
0.029758311808109283,
0.02105286717414856,
0.0566793754696846,
0.016023309901356697,
-0.11060763895511627,
0.03633791208267212,
0.013379298150539398,
-0.08794672787189484,
0.006157659459859133,
0.0012729526497423649,
0.0017623992171138525,
-0.016718827188014984,
0.03872482478618622,
0.07090053707361221,
-0.030748605728149414,
-0.0376005582511425,
-0.08913366496562958,
-0.07072333246469498,
-0.02401995100080967,
0.031003065407276154,
-0.020986046642065048,
0.07752581685781479,
0.04719797521829605,
0.019409047439694405,
0.04269175976514816,
0.029104825109243393,
0.030074169859290123,
0.007456148974597454,
0.05924425274133682,
-0.0007068722625263035,
0.01041792519390583,
-0.04461438208818436,
0.06408020108938217,
-0.07636718451976776,
-4.2432809266301774e-8,
0.010625507682561874,
0.007541778031736612,
-0.02444012276828289,
-0.000670344103127718,
-0.007279700133949518,
0.0005052528576925397,
-0.06083666905760765,
0.07271575182676315,
0.012567100115120411,
-0.039632219821214676,
-0.0014662145404145122,
0.02717403508722782,
-0.0932462066411972,
-0.08097722381353378,
0.06235861778259277,
0.08574690669775009,
-0.029265977442264557,
-0.00820661149919033,
0.005556071177124977,
-0.05119013041257858,
0.03867530822753906,
0.013911151327192783,
-0.018858248367905617,
0.011733029969036579,
0.06530273705720901,
-0.03128387778997421,
-0.020282942801713943,
0.01516936905682087,
-0.03876683488488197,
-0.06925877183675766,
0.002504478907212615,
0.06028693541884422,
0.029384959489107132,
0.05551282688975334,
0.042320601642131805,
0.005830524023622274,
0.06879245489835739,
-0.05593946948647499,
-0.020017540082335472,
-0.04946495592594147,
0.04688248038291931,
0.07712972164154053,
-0.06750056892633438,
-0.023959165439009666,
0.06338709592819214,
-0.051185257732868195,
0.00479508563876152,
-0.002633714349940419,
0.04668402671813965,
-0.1139637753367424,
0.010776560753583908,
-0.06942643225193024,
0.04915732517838478,
0.07276434451341629,
0.01678388938307762,
0.06612719595432281,
0.008996921591460705,
0.04427916556596756,
0.055117327719926834,
-0.08252427726984024,
0.03848142921924591,
0.031228631734848022,
0.03167445585131645,
0.03404683992266655
] | null | null | null | null | null | null | null | [
0.008098547346889973,
0.05215849354863167,
-0.007642743177711964,
-0.03194879740476608,
-0.01059973519295454,
-0.009800008498132229,
-0.031107470393180847,
0.10827213525772095,
0.03612828999757767,
-0.013612307608127594,
-0.05953475832939148,
-0.017333386465907097,
-0.0007938405033200979,
0.05179377272725105,
-0.000590903393458575,
0.055435895919799805,
-0.035345397889614105,
-0.01854582503437996,
-0.0342160202562809,
0.031200837343931198,
0.028150688856840134,
0.16671068966388702,
0.002097855322062969,
0.03326544165611267,
0.019811630249023438,
0.03612617030739784,
-0.023876391351222992,
-0.0732608214020729,
0.011442190036177635,
0.023497413843870163,
0.05702908709645271,
-0.018078787252306938,
0.08268998563289642,
0.09101832658052444,
-0.0065003810450434685,
0.01561493519693613,
-0.03621339052915573,
0.07023750245571136,
-0.05486402288079262,
-0.024370666593313217,
-0.03460737317800522,
-0.06384512782096863,
0.03388631343841553,
0.11964268982410431,
0.0970207154750824,
-0.027092833071947098,
-0.09418604522943497,
0.05481472983956337,
0.028678668662905693,
0.042505934834480286,
-0.14171245694160461,
-0.07111060619354248,
0.06408905982971191,
0.10625815391540527,
-0.025411657989025116,
0.06366804987192154,
-0.03904936835169792,
-0.07604392617940903,
-0.15094159543514252,
-0.10269294679164886,
-0.02882089652121067,
-0.034510426223278046,
0.020281802862882614,
0.013120094314217567,
-0.030595650896430016,
-0.021227186545729637,
-0.017763663083314896,
0.030605696141719818,
-0.021756639704108238,
-0.01993597485125065,
-0.06622884422540665,
0.03523389995098114,
0.0181582011282444,
0.1278073936700821,
-0.06184585392475128,
0.040084633976221085,
0.012850172817707062,
-0.004308300092816353,
0.06001722067594528,
-0.0565214566886425,
0.05276649072766304,
0.0645124539732933,
0.07692653685808182,
0.06663051247596741,
0.052823130041360855,
-0.003181230276823044,
0.07787610590457916,
0.0492229163646698,
-0.10367175191640854,
-0.008563589304685593,
-0.007341346237808466,
-0.07616539299488068,
0.1253499835729599,
-0.021603204309940338,
-0.03611855208873749,
0.01533137634396553,
-0.030742904171347618,
-0.09826034307479858,
0.01903407648205757,
0.03336319327354431,
-0.011379238218069077,
0.041243426501750946,
0.032220508903265,
-0.03825199231505394,
-0.0920291617512703,
-0.04302680492401123,
-0.007977535016834736,
-0.0011744791409000754,
0.03269895166158676,
-0.025907166302204132,
0.032309357076883316,
0.060267895460128784,
-0.041089098900556564,
-0.044892869889736176,
0.06854286789894104,
-0.027061549946665764,
-0.028468357399106026,
-0.024333128705620766,
0.07901309430599213,
0.05699867382645607,
-0.08248977363109589,
-0.019200600683689117,
-0.06106341630220413,
0.01333469245582819,
0.010603858157992363,
0.03366292640566826,
0.055272046476602554,
1.726263412692439e-33,
0.07602501660585403,
0.02264314331114292,
0.017918124794960022,
0.02797657996416092,
0.049968015402555466,
-0.010389893315732479,
-0.06354905664920807,
-0.007691938895732164,
-0.10199205577373505,
-0.05355105549097061,
0.008525237441062927,
-0.0037402412854135036,
0.03140123188495636,
0.03075260855257511,
-0.03546642139554024,
0.01920294389128685,
-0.09627154469490051,
0.05671076104044914,
0.01386436726897955,
0.026028096675872803,
-0.048910435289144516,
0.007847589440643787,
-0.0321001298725605,
0.06064927950501442,
-0.03840545937418938,
0.01959376595914364,
0.0010920908534899354,
-0.007848342880606651,
0.024540839716792107,
-0.021921943873167038,
-0.07398787140846252,
-0.011646782048046589,
0.09734850376844406,
-0.045797914266586304,
0.02097565121948719,
-0.006512840278446674,
0.007467626128345728,
-0.0437050387263298,
0.05676911398768425,
0.011446435004472733,
-0.07338442653417587,
0.022628817707300186,
-0.014077178202569485,
0.0032595405355095863,
0.05102834478020668,
-0.008083544671535492,
-0.05991855636239052,
0.020262951031327248,
0.015213276259601116,
-0.07007146626710892,
0.08323962241411209,
-0.026121333241462708,
0.0461510606110096,
0.026721740141510963,
0.06024070456624031,
0.020672785118222237,
-0.047293197363615036,
0.029850803315639496,
0.03423985838890076,
0.025401530787348747,
0.09332185238599777,
0.06593044847249985,
0.038249045610427856,
-0.028779467567801476,
-0.024637382477521896,
-0.00935453176498413,
-0.016299888491630554,
-0.023684494197368622,
0.03128049150109291,
-0.02421262301504612,
-0.06640157103538513,
0.041359059512615204,
-0.008415892720222473,
0.03557475283741951,
-0.004810028243809938,
0.02352072112262249,
0.03692197427153587,
-0.08673445880413055,
-0.041285399347543716,
0.07161536067724228,
-0.020260058343410492,
-0.05382375046610832,
-0.04798315837979317,
0.051808785647153854,
0.03047802485525608,
-0.06571082025766373,
-0.025699814781546593,
0.0326409712433815,
-0.09762174636125565,
-0.03624515235424042,
-0.029267100617289543,
0.05977144092321396,
-0.03963327035307884,
0.0577813945710659,
0.020539097487926483,
-2.8360195276419364e-33,
-0.010325019247829914,
-0.01883830316364765,
-0.04794526845216751,
0.022696401923894882,
0.032913971692323685,
-0.04543062672019005,
-0.021716786548495293,
-0.03270591050386429,
0.12131959944963455,
-0.015081046149134636,
0.019801640883088112,
-0.06500382721424103,
0.016094543039798737,
-0.0362984836101532,
-0.0009523879853077233,
0.011218794621527195,
-0.06251119822263718,
0.03132276237010956,
-0.023882899433374405,
0.1136755645275116,
-0.0022559170611202717,
0.08397276699542999,
-0.0985400602221489,
0.07352239638566971,
0.027706576511263847,
0.04291645437479019,
-0.017388327047228813,
-0.002133307745680213,
-0.028558971360325813,
-0.121233269572258,
-0.029048265889286995,
-0.017440607771277428,
-0.02345205284655094,
-0.07427380234003067,
-0.061413198709487915,
-0.016235826537013054,
0.027484172955155373,
-0.09303370118141174,
0.02818271704018116,
-0.0318310521543026,
0.06528718024492264,
0.038935769349336624,
-0.13798245787620544,
-0.025897299870848656,
-0.00720421364530921,
-0.04426336660981178,
-0.09885002672672272,
0.01132525596767664,
0.033191800117492676,
0.020291246473789215,
-0.019205087795853615,
-0.07025356590747833,
-0.0353597030043602,
-0.00022910695406608284,
-0.022831343114376068,
-0.12522868812084198,
-0.028487203642725945,
-0.059560805559158325,
-0.03901778534054756,
-0.022008858621120453,
-0.047469254583120346,
0.029758311808109283,
0.02105286717414856,
0.0566793754696846,
0.016023309901356697,
-0.11060763895511627,
0.03633791208267212,
0.013379298150539398,
-0.08794672787189484,
0.006157659459859133,
0.0012729526497423649,
0.0017623992171138525,
-0.016718827188014984,
0.03872482478618622,
0.07090053707361221,
-0.030748605728149414,
-0.0376005582511425,
-0.08913366496562958,
-0.07072333246469498,
-0.02401995100080967,
0.031003065407276154,
-0.020986046642065048,
0.07752581685781479,
0.04719797521829605,
0.019409047439694405,
0.04269175976514816,
0.029104825109243393,
0.030074169859290123,
0.007456148974597454,
0.05924425274133682,
-0.0007068722625263035,
0.01041792519390583,
-0.04461438208818436,
0.06408020108938217,
-0.07636718451976776,
-4.2432809266301774e-8,
0.010625507682561874,
0.007541778031736612,
-0.02444012276828289,
-0.000670344103127718,
-0.007279700133949518,
0.0005052528576925397,
-0.06083666905760765,
0.07271575182676315,
0.012567100115120411,
-0.039632219821214676,
-0.0014662145404145122,
0.02717403508722782,
-0.0932462066411972,
-0.08097722381353378,
0.06235861778259277,
0.08574690669775009,
-0.029265977442264557,
-0.00820661149919033,
0.005556071177124977,
-0.05119013041257858,
0.03867530822753906,
0.013911151327192783,
-0.018858248367905617,
0.011733029969036579,
0.06530273705720901,
-0.03128387778997421,
-0.020282942801713943,
0.01516936905682087,
-0.03876683488488197,
-0.06925877183675766,
0.002504478907212615,
0.06028693541884422,
0.029384959489107132,
0.05551282688975334,
0.042320601642131805,
0.005830524023622274,
0.06879245489835739,
-0.05593946948647499,
-0.020017540082335472,
-0.04946495592594147,
0.04688248038291931,
0.07712972164154053,
-0.06750056892633438,
-0.023959165439009666,
0.06338709592819214,
-0.051185257732868195,
0.00479508563876152,
-0.002633714349940419,
0.04668402671813965,
-0.1139637753367424,
0.010776560753583908,
-0.06942643225193024,
0.04915732517838478,
0.07276434451341629,
0.01678388938307762,
0.06612719595432281,
0.008996921591460705,
0.04427916556596756,
0.055117327719926834,
-0.08252427726984024,
0.03848142921924591,
0.031228631734848022,
0.03167445585131645,
0.03404683992266655
] |
1401.0572 | Pengfei Lan | Pengfei Lan, Yuming Zhou, Adrian N. Pfeiffer, Qingbin Zhang, Peixiang
Lu, Katsumi Midorikawa Lu | Revealing the role of electron correlation in sequential double
ionization | 14 pages, 5 figures, submitted | Phys. Rev. A 89, 033424(2014) | 10.1103/PhysRevA.89.033424 | null | physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The experimental observations of sequential double ionization (SDI) of Ar [A.
N. Pfeiffer {\it et al.}, Nature Phys. {\bf 7}, 428 (2011)], such as the
four-peak momentum distribution and the ionization time of the first and second
electrons, are investigated and reproduced with a quantum model by including
and excluding the $e$-$e$ correlation effect. Based on the comparison of
experiment and simulation, the role of $e$-$e$ correlation in SDI is discussed.
It is shown that the inclusion of $e$-$e$ correlation is necessary to reproduce
the momentum distribution of electrons.
| [
{
"created": "Fri, 3 Jan 2014 01:41:54 GMT",
"version": "v1"
}
] | 2014-04-01 | [
[
"Lan",
"Pengfei",
""
],
[
"Zhou",
"Yuming",
""
],
[
"Pfeiffer",
"Adrian N.",
""
],
[
"Zhang",
"Qingbin",
""
],
[
"Lu",
"Peixiang",
""
],
[
"Lu",
"Katsumi Midorikawa",
""
]
] | [
-0.045604903250932693,
0.004951659590005875,
0.01776837185025215,
0.04574001953005791,
-0.10909957438707352,
0.019170792773365974,
0.04616495966911316,
-0.0005348416161723435,
0.042227163910865784,
-0.025970255956053734,
0.053745366632938385,
0.018635142594575882,
0.029392467811703682,
-0.012894861400127411,
0.008964693173766136,
-0.07495325803756714,
0.0017737162997946143,
-0.02171281911432743,
-0.0070103127509355545,
-0.02178952842950821,
-0.013480876572430134,
-0.03468168526887894,
0.009581787511706352,
-0.06972017139196396,
0.09719214588403702,
0.04837356507778168,
0.030907316133379936,
0.02984265796840191,
-0.02936602011322975,
-0.018674133345484734,
0.1740041971206665,
-0.039293140172958374,
-0.013136613182723522,
0.01971297338604927,
-0.019615331664681435,
-0.011184408329427242,
-0.021256936714053154,
0.02818070910871029,
0.0369332917034626,
0.05720828101038933,
0.017966827377676964,
0.02922920510172844,
-0.034173138439655304,
-0.10674042254686356,
0.03674846515059471,
-0.020093059167265892,
0.14111609756946564,
-0.05809543654322624,
-0.0008665049099363387,
-0.0077058603055775166,
0.043074797838926315,
0.09649024158716202,
-0.028692904859781265,
-0.059558767825365067,
0.017292387783527374,
-0.0036060395650565624,
-0.004088226240128279,
0.0072256335988640785,
-0.022245166823267937,
-0.014454190619289875,
0.012629032135009766,
0.016794562339782715,
-0.006444712169468403,
0.08844169974327087,
0.04493531212210655,
-0.04231748357415199,
0.051075443625450134,
-0.01442068163305521,
0.024615149945020676,
-0.008982982486486435,
0.009505802765488625,
0.07395878434181213,
-0.04207845404744148,
-0.03541255369782448,
0.038929618895053864,
-0.0108231445774436,
-0.05206562578678131,
-0.022038372233510017,
0.061816733330488205,
-0.0867912545800209,
-0.03037096932530403,
-0.0503515750169754,
0.031462304294109344,
-0.06502524018287659,
-0.00837946031242609,
0.08029883354902267,
-0.020678764209151268,
0.0026656000409275293,
-0.08264099061489105,
-0.04933934658765793,
0.03730783611536026,
-0.05041830241680145,
-0.013758126646280289,
0.09601762890815735,
0.02441953681409359,
0.03222404047846794,
0.052959099411964417,
0.0035158609971404076,
0.02266562730073929,
0.018955525010824203,
0.09403084218502045,
0.00011241542233619839,
-0.009712998755276203,
0.0937567725777626,
0.015183608047664165,
-0.04565911740064621,
0.08508425205945969,
-0.01349168736487627,
-0.08316230773925781,
0.060828983783721924,
0.0926584005355835,
-0.0070780240930616856,
0.0016000813338905573,
-0.03449678793549538,
0.05092191323637962,
0.09695129841566086,
0.004860486835241318,
0.044447265565395355,
0.009447252377867699,
-0.0763300284743309,
-0.01500478945672512,
-0.05964874476194382,
-0.0005560836289077997,
0.05594424530863762,
-0.0031648792792111635,
-0.002032629447057843,
-0.029622578993439674,
-1.9637797604577596e-33,
0.037743788212537766,
-0.019177207723259926,
0.032664913684129715,
-0.03326156735420227,
0.033663030713796616,
0.009740994311869144,
-0.020452022552490234,
-0.037219852209091187,
-0.07982737571001053,
-0.03997908532619476,
0.012941509485244751,
-0.019596215337514877,
0.07176975905895233,
0.019328173249959946,
-0.05408770218491554,
-0.01945854350924492,
-0.027850709855556488,
0.06943681091070175,
0.10476964712142944,
0.009691149927675724,
0.051058996468782425,
-0.0401725098490715,
-0.01062677800655365,
0.08012206852436066,
-0.036649320274591446,
0.0441352017223835,
0.09525405615568161,
-0.028503868728876114,
-0.062420353293418884,
-0.0041229380294680595,
0.04187363013625145,
0.059933412820100784,
-0.07691581547260284,
0.006372098345309496,
-0.050681162625551224,
-0.058884743601083755,
0.0018535677809268236,
0.02221653237938881,
0.014483208768069744,
-0.011582356877624989,
-0.02197674661874771,
0.019583433866500854,
-0.0030245662201195955,
-0.06050973758101463,
-0.027430618181824684,
-0.07147775590419769,
-0.03503412380814552,
-0.06012233719229698,
0.11311157047748566,
-0.027166949585080147,
0.008213892579078674,
0.01691935583949089,
0.036139849573373795,
0.0249077919870615,
0.023541081696748734,
0.02276553027331829,
0.006367783527821302,
0.01022393349558115,
-0.01873893477022648,
0.043609220534563065,
0.0000556478880753275,
0.0630589947104454,
0.008217894472181797,
0.01740218885242939,
-0.0174856036901474,
0.044705893844366074,
0.00347521947696805,
-0.039318714290857315,
0.06854675710201263,
0.04086998105049133,
0.035825856029987335,
0.0036589661613106728,
0.003992740530520678,
-0.1360987424850464,
0.05891145393252373,
0.02127923257648945,
-0.05919579789042473,
0.0022220066748559475,
0.019024072214961052,
-0.010581891052424908,
-0.03241978958249092,
-0.05481361597776413,
0.033310551196336746,
0.044889599084854126,
-0.08023441582918167,
-0.044328827410936356,
-0.07038763910531998,
-0.04213397949934006,
0.020473260432481766,
-0.006494113709777594,
0.08301930874586105,
0.023636987432837486,
-0.016279350966215134,
-0.03227028623223305,
-0.072953000664711,
-9.467921903072187e-34,
0.029266655445098877,
0.08907204866409302,
0.005867816507816315,
-0.0006559606990776956,
-0.06133324280381203,
0.030691595748066902,
-0.022569075226783752,
0.0002059008547803387,
-0.051677510142326355,
-0.02076929248869419,
0.07778365164995193,
0.02906562015414238,
-0.02588140405714512,
-0.0261765755712986,
0.0889366939663887,
-0.04254993796348572,
0.05871693044900894,
0.026726888492703438,
0.15295438468456268,
-0.00275624543428421,
0.12261504679918289,
-0.0882411077618599,
0.04364825040102005,
-0.14386184513568878,
0.08210328221321106,
-0.060689229518175125,
-0.019360708072781563,
-0.07369374483823776,
0.07183367013931274,
-0.07060180604457855,
0.027846962213516235,
0.0007934225141070783,
-0.049542348831892014,
0.04125984013080597,
-0.0729285255074501,
-0.013115483336150646,
-0.05235263332724571,
0.025342997163534164,
0.00599269662052393,
-0.07383209466934204,
-0.01342172734439373,
0.02268374152481556,
0.04946858435869217,
0.017150839790701866,
0.08023607730865479,
-0.04085230082273483,
0.04188596084713936,
0.08748120814561844,
0.00227221567183733,
-0.08409151434898376,
-0.056957680732011795,
0.018583590164780617,
-0.03198806568980217,
-0.018012451007962227,
-0.07758779078722,
0.050655677914619446,
0.06477876752614975,
0.037777870893478394,
0.06733732670545578,
-0.04255007579922676,
-0.05872878059744835,
-0.0506584607064724,
0.06553705781698227,
-0.040356218814849854,
-0.06226084381341934,
-0.020201945677399635,
-0.02861030399799347,
-0.0431821383535862,
-0.04238733649253845,
-0.08074785768985748,
0.06253816187381744,
0.00003161329368595034,
-0.007658178918063641,
-0.008878019638359547,
-0.026550425216555595,
-0.0024980443995445967,
0.0124517185613513,
-0.08881168067455292,
0.014599505811929703,
-0.002186092548072338,
-0.07493246346712112,
0.06634683907032013,
-0.0786951333284378,
-0.07182209938764572,
-0.01741981692612171,
0.004155974835157394,
-0.03484399989247322,
0.001591369858942926,
0.03904414176940918,
-0.0299550648778677,
0.03159385919570923,
0.029404819011688232,
0.02294001914560795,
-0.07352282851934433,
0.00036130863009020686,
-4.923451157878844e-8,
0.006782941985875368,
-0.05064563825726509,
-0.049836285412311554,
0.06513898074626923,
0.03884920850396156,
-0.0018205257365480065,
-0.03214152529835701,
0.0019361645681783557,
0.045882608741521835,
-0.10684908926486969,
0.08027723431587219,
-0.019347503781318665,
-0.009930066764354706,
0.022036032751202583,
0.030650287866592407,
0.002764730481430888,
0.017024656757712364,
-0.09395507723093033,
0.0033089518547058105,
-0.0012178047327324748,
0.00934839528053999,
0.01261020079255104,
-0.037058647722005844,
-0.026446174830198288,
-0.023866064846515656,
0.07090740650892258,
0.014370978809893131,
-0.0733654797077179,
-0.02200392819941044,
-0.02026163600385189,
-0.05990583449602127,
-0.025664398446679115,
0.0654660239815712,
-0.02420944720506668,
0.011044995859265327,
-0.06884893774986267,
-0.051401712000370026,
0.05395559221506119,
0.02287844568490982,
-0.029028085991740227,
-0.09725794941186905,
-0.05151069164276123,
0.0896570086479187,
0.0460822768509388,
0.037078455090522766,
0.08972812443971634,
-0.07723088562488556,
-0.06785545498132706,
0.05488672852516174,
-0.06229088455438614,
-0.0540207140147686,
0.027966175228357315,
0.09311036765575409,
-0.11227253824472427,
-0.0651170089840889,
0.09134390950202942,
-0.05540741607546806,
-0.07565955072641373,
0.05273372679948807,
0.016454212367534637,
0.10777249932289124,
-0.02297317050397396,
-0.1496245414018631,
0.0029242285527288914
] | null | null | null | null | null | null | null | [
-0.045604903250932693,
0.004951659590005875,
0.01776837185025215,
0.04574001953005791,
-0.10909957438707352,
0.019170792773365974,
0.04616495966911316,
-0.0005348416161723435,
0.042227163910865784,
-0.025970255956053734,
0.053745366632938385,
0.018635142594575882,
0.029392467811703682,
-0.012894861400127411,
0.008964693173766136,
-0.07495325803756714,
0.0017737162997946143,
-0.02171281911432743,
-0.0070103127509355545,
-0.02178952842950821,
-0.013480876572430134,
-0.03468168526887894,
0.009581787511706352,
-0.06972017139196396,
0.09719214588403702,
0.04837356507778168,
0.030907316133379936,
0.02984265796840191,
-0.02936602011322975,
-0.018674133345484734,
0.1740041971206665,
-0.039293140172958374,
-0.013136613182723522,
0.01971297338604927,
-0.019615331664681435,
-0.011184408329427242,
-0.021256936714053154,
0.02818070910871029,
0.0369332917034626,
0.05720828101038933,
0.017966827377676964,
0.02922920510172844,
-0.034173138439655304,
-0.10674042254686356,
0.03674846515059471,
-0.020093059167265892,
0.14111609756946564,
-0.05809543654322624,
-0.0008665049099363387,
-0.0077058603055775166,
0.043074797838926315,
0.09649024158716202,
-0.028692904859781265,
-0.059558767825365067,
0.017292387783527374,
-0.0036060395650565624,
-0.004088226240128279,
0.0072256335988640785,
-0.022245166823267937,
-0.014454190619289875,
0.012629032135009766,
0.016794562339782715,
-0.006444712169468403,
0.08844169974327087,
0.04493531212210655,
-0.04231748357415199,
0.051075443625450134,
-0.01442068163305521,
0.024615149945020676,
-0.008982982486486435,
0.009505802765488625,
0.07395878434181213,
-0.04207845404744148,
-0.03541255369782448,
0.038929618895053864,
-0.0108231445774436,
-0.05206562578678131,
-0.022038372233510017,
0.061816733330488205,
-0.0867912545800209,
-0.03037096932530403,
-0.0503515750169754,
0.031462304294109344,
-0.06502524018287659,
-0.00837946031242609,
0.08029883354902267,
-0.020678764209151268,
0.0026656000409275293,
-0.08264099061489105,
-0.04933934658765793,
0.03730783611536026,
-0.05041830241680145,
-0.013758126646280289,
0.09601762890815735,
0.02441953681409359,
0.03222404047846794,
0.052959099411964417,
0.0035158609971404076,
0.02266562730073929,
0.018955525010824203,
0.09403084218502045,
0.00011241542233619839,
-0.009712998755276203,
0.0937567725777626,
0.015183608047664165,
-0.04565911740064621,
0.08508425205945969,
-0.01349168736487627,
-0.08316230773925781,
0.060828983783721924,
0.0926584005355835,
-0.0070780240930616856,
0.0016000813338905573,
-0.03449678793549538,
0.05092191323637962,
0.09695129841566086,
0.004860486835241318,
0.044447265565395355,
0.009447252377867699,
-0.0763300284743309,
-0.01500478945672512,
-0.05964874476194382,
-0.0005560836289077997,
0.05594424530863762,
-0.0031648792792111635,
-0.002032629447057843,
-0.029622578993439674,
-1.9637797604577596e-33,
0.037743788212537766,
-0.019177207723259926,
0.032664913684129715,
-0.03326156735420227,
0.033663030713796616,
0.009740994311869144,
-0.020452022552490234,
-0.037219852209091187,
-0.07982737571001053,
-0.03997908532619476,
0.012941509485244751,
-0.019596215337514877,
0.07176975905895233,
0.019328173249959946,
-0.05408770218491554,
-0.01945854350924492,
-0.027850709855556488,
0.06943681091070175,
0.10476964712142944,
0.009691149927675724,
0.051058996468782425,
-0.0401725098490715,
-0.01062677800655365,
0.08012206852436066,
-0.036649320274591446,
0.0441352017223835,
0.09525405615568161,
-0.028503868728876114,
-0.062420353293418884,
-0.0041229380294680595,
0.04187363013625145,
0.059933412820100784,
-0.07691581547260284,
0.006372098345309496,
-0.050681162625551224,
-0.058884743601083755,
0.0018535677809268236,
0.02221653237938881,
0.014483208768069744,
-0.011582356877624989,
-0.02197674661874771,
0.019583433866500854,
-0.0030245662201195955,
-0.06050973758101463,
-0.027430618181824684,
-0.07147775590419769,
-0.03503412380814552,
-0.06012233719229698,
0.11311157047748566,
-0.027166949585080147,
0.008213892579078674,
0.01691935583949089,
0.036139849573373795,
0.0249077919870615,
0.023541081696748734,
0.02276553027331829,
0.006367783527821302,
0.01022393349558115,
-0.01873893477022648,
0.043609220534563065,
0.0000556478880753275,
0.0630589947104454,
0.008217894472181797,
0.01740218885242939,
-0.0174856036901474,
0.044705893844366074,
0.00347521947696805,
-0.039318714290857315,
0.06854675710201263,
0.04086998105049133,
0.035825856029987335,
0.0036589661613106728,
0.003992740530520678,
-0.1360987424850464,
0.05891145393252373,
0.02127923257648945,
-0.05919579789042473,
0.0022220066748559475,
0.019024072214961052,
-0.010581891052424908,
-0.03241978958249092,
-0.05481361597776413,
0.033310551196336746,
0.044889599084854126,
-0.08023441582918167,
-0.044328827410936356,
-0.07038763910531998,
-0.04213397949934006,
0.020473260432481766,
-0.006494113709777594,
0.08301930874586105,
0.023636987432837486,
-0.016279350966215134,
-0.03227028623223305,
-0.072953000664711,
-9.467921903072187e-34,
0.029266655445098877,
0.08907204866409302,
0.005867816507816315,
-0.0006559606990776956,
-0.06133324280381203,
0.030691595748066902,
-0.022569075226783752,
0.0002059008547803387,
-0.051677510142326355,
-0.02076929248869419,
0.07778365164995193,
0.02906562015414238,
-0.02588140405714512,
-0.0261765755712986,
0.0889366939663887,
-0.04254993796348572,
0.05871693044900894,
0.026726888492703438,
0.15295438468456268,
-0.00275624543428421,
0.12261504679918289,
-0.0882411077618599,
0.04364825040102005,
-0.14386184513568878,
0.08210328221321106,
-0.060689229518175125,
-0.019360708072781563,
-0.07369374483823776,
0.07183367013931274,
-0.07060180604457855,
0.027846962213516235,
0.0007934225141070783,
-0.049542348831892014,
0.04125984013080597,
-0.0729285255074501,
-0.013115483336150646,
-0.05235263332724571,
0.025342997163534164,
0.00599269662052393,
-0.07383209466934204,
-0.01342172734439373,
0.02268374152481556,
0.04946858435869217,
0.017150839790701866,
0.08023607730865479,
-0.04085230082273483,
0.04188596084713936,
0.08748120814561844,
0.00227221567183733,
-0.08409151434898376,
-0.056957680732011795,
0.018583590164780617,
-0.03198806568980217,
-0.018012451007962227,
-0.07758779078722,
0.050655677914619446,
0.06477876752614975,
0.037777870893478394,
0.06733732670545578,
-0.04255007579922676,
-0.05872878059744835,
-0.0506584607064724,
0.06553705781698227,
-0.040356218814849854,
-0.06226084381341934,
-0.020201945677399635,
-0.02861030399799347,
-0.0431821383535862,
-0.04238733649253845,
-0.08074785768985748,
0.06253816187381744,
0.00003161329368595034,
-0.007658178918063641,
-0.008878019638359547,
-0.026550425216555595,
-0.0024980443995445967,
0.0124517185613513,
-0.08881168067455292,
0.014599505811929703,
-0.002186092548072338,
-0.07493246346712112,
0.06634683907032013,
-0.0786951333284378,
-0.07182209938764572,
-0.01741981692612171,
0.004155974835157394,
-0.03484399989247322,
0.001591369858942926,
0.03904414176940918,
-0.0299550648778677,
0.03159385919570923,
0.029404819011688232,
0.02294001914560795,
-0.07352282851934433,
0.00036130863009020686,
-4.923451157878844e-8,
0.006782941985875368,
-0.05064563825726509,
-0.049836285412311554,
0.06513898074626923,
0.03884920850396156,
-0.0018205257365480065,
-0.03214152529835701,
0.0019361645681783557,
0.045882608741521835,
-0.10684908926486969,
0.08027723431587219,
-0.019347503781318665,
-0.009930066764354706,
0.022036032751202583,
0.030650287866592407,
0.002764730481430888,
0.017024656757712364,
-0.09395507723093033,
0.0033089518547058105,
-0.0012178047327324748,
0.00934839528053999,
0.01261020079255104,
-0.037058647722005844,
-0.026446174830198288,
-0.023866064846515656,
0.07090740650892258,
0.014370978809893131,
-0.0733654797077179,
-0.02200392819941044,
-0.02026163600385189,
-0.05990583449602127,
-0.025664398446679115,
0.0654660239815712,
-0.02420944720506668,
0.011044995859265327,
-0.06884893774986267,
-0.051401712000370026,
0.05395559221506119,
0.02287844568490982,
-0.029028085991740227,
-0.09725794941186905,
-0.05151069164276123,
0.0896570086479187,
0.0460822768509388,
0.037078455090522766,
0.08972812443971634,
-0.07723088562488556,
-0.06785545498132706,
0.05488672852516174,
-0.06229088455438614,
-0.0540207140147686,
0.027966175228357315,
0.09311036765575409,
-0.11227253824472427,
-0.0651170089840889,
0.09134390950202942,
-0.05540741607546806,
-0.07565955072641373,
0.05273372679948807,
0.016454212367534637,
0.10777249932289124,
-0.02297317050397396,
-0.1496245414018631,
0.0029242285527288914
] |
1401.0578 | Jwo-Yuh Wu | Ling-Hua Chang and Jwo-Yuh Wu | An Improved RIP-Based Performance Guarantee for Sparse Signal Recovery
via Orthogonal Matching Pursuit | 38 pages,4 figures | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A sufficient condition reported very recently for perfect recovery of a
K-sparse vector via orthogonal matching pursuit (OMP) in K iterations is that
the restricted isometry constant of the sensing matrix satisfies
delta_K+1<1/(sqrt(delta_K+1)+1). By exploiting an approximate orthogonality
condition characterized via the achievable angles between two orthogonal sparse
vectors upon compression, this paper shows that the upper bound on delta can be
further relaxed to delta_K+1<(sqrt(1+4*delta_K+1)-1)/(2K).This result thus
narrows the gap between the so far best known bound and the ultimate
performance guarantee delta_K+1<1/(sqrt(delta_K+1)) that is conjectured by Dai
and Milenkovic in 2009. The proposed approximate orthogonality condition is
also exploited to derive less restricted sufficient conditions for signal
reconstruction in several compressive sensing problems, including signal
recovery via OMP in a noisy environment, compressive domain interference
cancellation, and support identification via the subspace pursuit algorithm.
| [
{
"created": "Fri, 3 Jan 2014 02:48:12 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Chang",
"Ling-Hua",
""
],
[
"Wu",
"Jwo-Yuh",
""
]
] | [
-0.11207185685634613,
0.02612806297838688,
0.006758533418178558,
-0.039386067539453506,
0.019527386873960495,
0.03015274368226528,
0.09068462997674942,
-0.06848924607038498,
-0.00399808119982481,
0.009318947792053223,
-0.010962453670799732,
0.09188389778137207,
-0.0038268358912318945,
-0.0381123311817646,
0.025413282215595245,
-0.04647192731499672,
0.1003342792391777,
0.06597249954938889,
-0.01619255542755127,
0.008676964789628983,
0.002783628646284342,
-0.07795419543981552,
-0.007564058993011713,
0.013740143738687038,
0.061443112790584564,
0.0248945951461792,
0.10879300534725189,
-0.02731356956064701,
0.02015116810798645,
0.060067061334848404,
-0.012018073350191116,
-0.01744750700891018,
0.05970466509461403,
-0.07746002823114395,
-0.04164842888712883,
0.031305812299251556,
-0.025230441242456436,
0.030443640425801277,
-0.03169417381286621,
0.0392647422850132,
-0.006993428338319063,
0.057536181062459946,
-0.04218535125255585,
-0.005332761909812689,
-0.055731676518917084,
-0.08201038837432861,
0.030754439532756805,
-0.011344256810843945,
0.056290097534656525,
-0.05962938815355301,
0.022377563640475273,
0.05435997620224953,
-0.03837376832962036,
-0.0649719163775444,
-0.01866111159324646,
-0.02407900057733059,
-0.06007414311170578,
0.002476702444255352,
-0.051249247044324875,
0.07232925295829773,
-0.0034850717056542635,
-0.011170473881065845,
0.0004011664423160255,
0.019875669851899147,
0.009275456890463829,
-0.015286405570805073,
0.09413883835077286,
0.011597280390560627,
0.00641233753412962,
0.05399453639984131,
-0.09110619872808456,
0.011345041915774345,
0.028734086081385612,
0.08354923129081726,
-0.019117414951324463,
-0.026393935084342957,
0.010871944949030876,
0.015449349768459797,
0.10233058780431747,
0.03254400193691254,
-0.027033960446715355,
0.010176824405789375,
-0.09609802812337875,
-0.02914164587855339,
-0.0062019010074436665,
-0.01893489621579647,
-0.04965398088097572,
0.05878516286611557,
0.07030054181814194,
-0.06619290262460709,
-0.015056579373776913,
-0.08431476354598999,
-0.09881538897752762,
0.018533753231167793,
-0.018097518011927605,
0.008442827500402927,
0.036234624683856964,
0.08414319157600403,
0.016698777675628662,
0.02714683674275875,
0.050936806946992874,
-0.012909971177577972,
-0.059533312916755676,
0.07897032052278519,
-0.04650785028934479,
-0.053718168288469315,
0.008816600777208805,
0.02939753048121929,
0.059518709778785706,
0.003979027271270752,
0.011167949996888638,
-0.07473955303430557,
0.016980884596705437,
0.12545301020145416,
0.00021850790653843433,
-0.10299143195152283,
0.08112484216690063,
-0.005488092545419931,
0.052949871867895126,
0.020075500011444092,
-0.044311948120594025,
-0.13418836891651154,
0.03483190760016441,
0.01174755860120058,
0.050987012684345245,
0.09478490799665451,
0.013215987011790276,
4.6136775737332415e-33,
0.02827228233218193,
0.14386719465255737,
0.03151940554380417,
-0.04217572137713432,
-0.05301935598254204,
-0.0342283695936203,
0.08326227962970734,
0.005037656053900719,
-0.014542760327458382,
0.050242405384778976,
-0.07913950085639954,
-0.019021453335881233,
-0.015923622995615005,
0.03502291068434715,
-0.050832267850637436,
0.021482355892658234,
0.027799688279628754,
0.04747139662504196,
0.0004350322124082595,
-0.07498079538345337,
0.06979267299175262,
0.0023640242870897055,
-0.016475379467010498,
0.026647653430700302,
0.01055209245532751,
-0.03490002825856209,
-0.009387792088091373,
-0.043504536151885986,
-0.09103739261627197,
0.022852210327982903,
-0.0647355243563652,
-0.028170598670840263,
0.05400533974170685,
0.0002686365332920104,
0.004687065724283457,
-0.002652272116392851,
0.06060585007071495,
-0.01949240081012249,
-0.03714212775230408,
-0.06232975795865059,
-0.0028737082611769438,
0.03580708056688309,
0.014944039285182953,
-0.0788259208202362,
-0.014219990000128746,
-0.062309905886650085,
0.020167537033557892,
0.04037870466709137,
-0.020349666476249695,
0.025431590154767036,
-0.02932157553732395,
-0.05939016118645668,
-0.045241136103868484,
0.017261186614632607,
-0.012259612791240215,
-0.017975183203816414,
-0.008826960809528828,
-0.03804273530840874,
0.07561716437339783,
0.040684234350919724,
-0.019316580146551132,
-0.031066594645380974,
-0.014186624437570572,
-0.013455289416015148,
0.026684703305363655,
0.024679213762283325,
-0.037187252193689346,
-0.004317834507673979,
-0.03159589692950249,
-0.007108313497155905,
0.0211294237524271,
0.0013887434033676982,
-0.05920916423201561,
-0.07672443985939026,
0.10467272996902466,
-0.004173192195594311,
0.08117547631263733,
-0.02281429059803486,
-0.03004288300871849,
-0.022712312638759613,
-0.04087628796696663,
0.01216533686965704,
0.004026129841804504,
-0.08796154707670212,
-0.050309136509895325,
0.07084635645151138,
0.01852855645120144,
-0.06662898510694504,
0.0025919657200574875,
-0.12535548210144043,
-0.044063784182071686,
0.04590458422899246,
-0.08803343027830124,
-0.0017818303313106298,
-0.007567547261714935,
-4.9930007845359625e-33,
0.05160968378186226,
0.03364649415016174,
0.04723292589187622,
-0.10841385275125504,
-0.007031204178929329,
-0.014816664159297943,
0.029901795089244843,
-0.0059123863466084,
-0.045875947922468185,
-0.09707320481538773,
-0.08698675036430359,
-0.10824212431907654,
0.030958374962210655,
0.0365714356303215,
-0.06635577976703644,
0.07779082655906677,
-0.02493629790842533,
0.0009422496077604592,
-0.04158739000558853,
0.04542975872755051,
-0.040387675166130066,
-0.0021288760472089052,
-0.007206361275166273,
0.03973821923136711,
0.018066372722387314,
0.00870467722415924,
-0.0019047749228775501,
0.10329670459032059,
-0.02819383144378662,
-0.06506691873073578,
0.07385634630918503,
-0.018770568072795868,
-0.04076458141207695,
-0.037852752953767776,
-0.0006149939727038145,
0.003972554579377174,
-0.039255913347005844,
0.017652412876486778,
-0.02987596206367016,
0.060859136283397675,
0.03212350979447365,
0.03405735641717911,
0.0013900730991736054,
0.04408900439739227,
0.04514840990304947,
-0.12356296181678772,
0.030858881771564484,
-0.0492735281586647,
-0.027967574074864388,
0.033133819699287415,
0.06216028332710266,
-0.016557330265641212,
0.025080636143684387,
0.10126262903213501,
0.0024724691174924374,
0.031393349170684814,
-0.09412112087011337,
0.0959874838590622,
0.05104624480009079,
-0.03050898388028145,
-0.02365281619131565,
0.05238983407616615,
-0.059856116771698,
0.128007709980011,
0.0612693652510643,
0.019455475732684135,
0.06694240123033524,
0.06688019633293152,
-0.016812831163406372,
0.07237615436315536,
-0.1034788191318512,
0.02728859893977642,
-0.037315841764211655,
0.0028546710964292288,
0.044649288058280945,
0.0489824041724205,
-0.03964581340551376,
-0.023508768528699875,
-0.056923482567071915,
0.09676727652549744,
-0.0006023960304446518,
0.034385986626148224,
-0.042586009949445724,
-0.031104676425457,
-0.002506337594240904,
0.09354633837938309,
0.0010628747986629605,
0.07263973355293274,
0.01719059981405735,
-0.062076859176158905,
0.02331572398543358,
0.03564618527889252,
-0.03305010497570038,
-0.027652746066451073,
0.04746516793966293,
-4.5603620435485936e-8,
-0.11935529112815857,
0.05347724258899689,
-0.08339057862758636,
-0.044730741530656815,
0.07525864988565445,
-0.10890013724565506,
0.00679390411823988,
-0.08076397329568863,
-0.007238483056426048,
-0.09183880686759949,
0.04263893514871597,
-0.02978459931910038,
-0.08902448415756226,
0.06436631083488464,
-0.05237312242388725,
-0.033259067684412,
-0.007447084411978722,
-0.07324405759572983,
0.010214617475867271,
0.04604027420282364,
-0.057081256061792374,
0.014740990474820137,
0.0568193681538105,
-0.0006368946051225066,
0.06995467096567154,
-0.03000950999557972,
-0.0506364181637764,
0.016620926558971405,
0.11372732371091843,
0.015361085534095764,
-0.08957115560770035,
0.026942411437630653,
0.08426637947559357,
-0.024115227162837982,
0.023197753354907036,
0.029619798064231873,
0.058231938630342484,
0.006337360478937626,
-0.025108834728598595,
-0.025373488664627075,
-0.00440567173063755,
0.017162000760436058,
0.04103050380945206,
-0.029644614085555077,
0.045918505638837814,
0.030206087976694107,
0.056236810982227325,
-0.05218638852238655,
-0.019740238785743713,
-0.08893363922834396,
-0.05120044946670532,
0.06071177497506142,
-0.04528335481882095,
0.009878642857074738,
0.03227897360920906,
-0.06591687351465225,
-0.030701667070388794,
0.00996635016053915,
0.06737659126520157,
0.0073101394809782505,
-0.00670109735801816,
-0.016613593325018883,
-0.06220481917262077,
0.07516379654407501
] | null | null | null | null | null | null | null | [
-0.11207185685634613,
0.02612806297838688,
0.006758533418178558,
-0.039386067539453506,
0.019527386873960495,
0.03015274368226528,
0.09068462997674942,
-0.06848924607038498,
-0.00399808119982481,
0.009318947792053223,
-0.010962453670799732,
0.09188389778137207,
-0.0038268358912318945,
-0.0381123311817646,
0.025413282215595245,
-0.04647192731499672,
0.1003342792391777,
0.06597249954938889,
-0.01619255542755127,
0.008676964789628983,
0.002783628646284342,
-0.07795419543981552,
-0.007564058993011713,
0.013740143738687038,
0.061443112790584564,
0.0248945951461792,
0.10879300534725189,
-0.02731356956064701,
0.02015116810798645,
0.060067061334848404,
-0.012018073350191116,
-0.01744750700891018,
0.05970466509461403,
-0.07746002823114395,
-0.04164842888712883,
0.031305812299251556,
-0.025230441242456436,
0.030443640425801277,
-0.03169417381286621,
0.0392647422850132,
-0.006993428338319063,
0.057536181062459946,
-0.04218535125255585,
-0.005332761909812689,
-0.055731676518917084,
-0.08201038837432861,
0.030754439532756805,
-0.011344256810843945,
0.056290097534656525,
-0.05962938815355301,
0.022377563640475273,
0.05435997620224953,
-0.03837376832962036,
-0.0649719163775444,
-0.01866111159324646,
-0.02407900057733059,
-0.06007414311170578,
0.002476702444255352,
-0.051249247044324875,
0.07232925295829773,
-0.0034850717056542635,
-0.011170473881065845,
0.0004011664423160255,
0.019875669851899147,
0.009275456890463829,
-0.015286405570805073,
0.09413883835077286,
0.011597280390560627,
0.00641233753412962,
0.05399453639984131,
-0.09110619872808456,
0.011345041915774345,
0.028734086081385612,
0.08354923129081726,
-0.019117414951324463,
-0.026393935084342957,
0.010871944949030876,
0.015449349768459797,
0.10233058780431747,
0.03254400193691254,
-0.027033960446715355,
0.010176824405789375,
-0.09609802812337875,
-0.02914164587855339,
-0.0062019010074436665,
-0.01893489621579647,
-0.04965398088097572,
0.05878516286611557,
0.07030054181814194,
-0.06619290262460709,
-0.015056579373776913,
-0.08431476354598999,
-0.09881538897752762,
0.018533753231167793,
-0.018097518011927605,
0.008442827500402927,
0.036234624683856964,
0.08414319157600403,
0.016698777675628662,
0.02714683674275875,
0.050936806946992874,
-0.012909971177577972,
-0.059533312916755676,
0.07897032052278519,
-0.04650785028934479,
-0.053718168288469315,
0.008816600777208805,
0.02939753048121929,
0.059518709778785706,
0.003979027271270752,
0.011167949996888638,
-0.07473955303430557,
0.016980884596705437,
0.12545301020145416,
0.00021850790653843433,
-0.10299143195152283,
0.08112484216690063,
-0.005488092545419931,
0.052949871867895126,
0.020075500011444092,
-0.044311948120594025,
-0.13418836891651154,
0.03483190760016441,
0.01174755860120058,
0.050987012684345245,
0.09478490799665451,
0.013215987011790276,
4.6136775737332415e-33,
0.02827228233218193,
0.14386719465255737,
0.03151940554380417,
-0.04217572137713432,
-0.05301935598254204,
-0.0342283695936203,
0.08326227962970734,
0.005037656053900719,
-0.014542760327458382,
0.050242405384778976,
-0.07913950085639954,
-0.019021453335881233,
-0.015923622995615005,
0.03502291068434715,
-0.050832267850637436,
0.021482355892658234,
0.027799688279628754,
0.04747139662504196,
0.0004350322124082595,
-0.07498079538345337,
0.06979267299175262,
0.0023640242870897055,
-0.016475379467010498,
0.026647653430700302,
0.01055209245532751,
-0.03490002825856209,
-0.009387792088091373,
-0.043504536151885986,
-0.09103739261627197,
0.022852210327982903,
-0.0647355243563652,
-0.028170598670840263,
0.05400533974170685,
0.0002686365332920104,
0.004687065724283457,
-0.002652272116392851,
0.06060585007071495,
-0.01949240081012249,
-0.03714212775230408,
-0.06232975795865059,
-0.0028737082611769438,
0.03580708056688309,
0.014944039285182953,
-0.0788259208202362,
-0.014219990000128746,
-0.062309905886650085,
0.020167537033557892,
0.04037870466709137,
-0.020349666476249695,
0.025431590154767036,
-0.02932157553732395,
-0.05939016118645668,
-0.045241136103868484,
0.017261186614632607,
-0.012259612791240215,
-0.017975183203816414,
-0.008826960809528828,
-0.03804273530840874,
0.07561716437339783,
0.040684234350919724,
-0.019316580146551132,
-0.031066594645380974,
-0.014186624437570572,
-0.013455289416015148,
0.026684703305363655,
0.024679213762283325,
-0.037187252193689346,
-0.004317834507673979,
-0.03159589692950249,
-0.007108313497155905,
0.0211294237524271,
0.0013887434033676982,
-0.05920916423201561,
-0.07672443985939026,
0.10467272996902466,
-0.004173192195594311,
0.08117547631263733,
-0.02281429059803486,
-0.03004288300871849,
-0.022712312638759613,
-0.04087628796696663,
0.01216533686965704,
0.004026129841804504,
-0.08796154707670212,
-0.050309136509895325,
0.07084635645151138,
0.01852855645120144,
-0.06662898510694504,
0.0025919657200574875,
-0.12535548210144043,
-0.044063784182071686,
0.04590458422899246,
-0.08803343027830124,
-0.0017818303313106298,
-0.007567547261714935,
-4.9930007845359625e-33,
0.05160968378186226,
0.03364649415016174,
0.04723292589187622,
-0.10841385275125504,
-0.007031204178929329,
-0.014816664159297943,
0.029901795089244843,
-0.0059123863466084,
-0.045875947922468185,
-0.09707320481538773,
-0.08698675036430359,
-0.10824212431907654,
0.030958374962210655,
0.0365714356303215,
-0.06635577976703644,
0.07779082655906677,
-0.02493629790842533,
0.0009422496077604592,
-0.04158739000558853,
0.04542975872755051,
-0.040387675166130066,
-0.0021288760472089052,
-0.007206361275166273,
0.03973821923136711,
0.018066372722387314,
0.00870467722415924,
-0.0019047749228775501,
0.10329670459032059,
-0.02819383144378662,
-0.06506691873073578,
0.07385634630918503,
-0.018770568072795868,
-0.04076458141207695,
-0.037852752953767776,
-0.0006149939727038145,
0.003972554579377174,
-0.039255913347005844,
0.017652412876486778,
-0.02987596206367016,
0.060859136283397675,
0.03212350979447365,
0.03405735641717911,
0.0013900730991736054,
0.04408900439739227,
0.04514840990304947,
-0.12356296181678772,
0.030858881771564484,
-0.0492735281586647,
-0.027967574074864388,
0.033133819699287415,
0.06216028332710266,
-0.016557330265641212,
0.025080636143684387,
0.10126262903213501,
0.0024724691174924374,
0.031393349170684814,
-0.09412112087011337,
0.0959874838590622,
0.05104624480009079,
-0.03050898388028145,
-0.02365281619131565,
0.05238983407616615,
-0.059856116771698,
0.128007709980011,
0.0612693652510643,
0.019455475732684135,
0.06694240123033524,
0.06688019633293152,
-0.016812831163406372,
0.07237615436315536,
-0.1034788191318512,
0.02728859893977642,
-0.037315841764211655,
0.0028546710964292288,
0.044649288058280945,
0.0489824041724205,
-0.03964581340551376,
-0.023508768528699875,
-0.056923482567071915,
0.09676727652549744,
-0.0006023960304446518,
0.034385986626148224,
-0.042586009949445724,
-0.031104676425457,
-0.002506337594240904,
0.09354633837938309,
0.0010628747986629605,
0.07263973355293274,
0.01719059981405735,
-0.062076859176158905,
0.02331572398543358,
0.03564618527889252,
-0.03305010497570038,
-0.027652746066451073,
0.04746516793966293,
-4.5603620435485936e-8,
-0.11935529112815857,
0.05347724258899689,
-0.08339057862758636,
-0.044730741530656815,
0.07525864988565445,
-0.10890013724565506,
0.00679390411823988,
-0.08076397329568863,
-0.007238483056426048,
-0.09183880686759949,
0.04263893514871597,
-0.02978459931910038,
-0.08902448415756226,
0.06436631083488464,
-0.05237312242388725,
-0.033259067684412,
-0.007447084411978722,
-0.07324405759572983,
0.010214617475867271,
0.04604027420282364,
-0.057081256061792374,
0.014740990474820137,
0.0568193681538105,
-0.0006368946051225066,
0.06995467096567154,
-0.03000950999557972,
-0.0506364181637764,
0.016620926558971405,
0.11372732371091843,
0.015361085534095764,
-0.08957115560770035,
0.026942411437630653,
0.08426637947559357,
-0.024115227162837982,
0.023197753354907036,
0.029619798064231873,
0.058231938630342484,
0.006337360478937626,
-0.025108834728598595,
-0.025373488664627075,
-0.00440567173063755,
0.017162000760436058,
0.04103050380945206,
-0.029644614085555077,
0.045918505638837814,
0.030206087976694107,
0.056236810982227325,
-0.05218638852238655,
-0.019740238785743713,
-0.08893363922834396,
-0.05120044946670532,
0.06071177497506142,
-0.04528335481882095,
0.009878642857074738,
0.03227897360920906,
-0.06591687351465225,
-0.030701667070388794,
0.00996635016053915,
0.06737659126520157,
0.0073101394809782505,
-0.00670109735801816,
-0.016613593325018883,
-0.06220481917262077,
0.07516379654407501
] |
1401.0579 | Tengyu Ma | Sanjeev Arora, Aditya Bhaskara, Rong Ge, Tengyu Ma | More Algorithms for Provable Dictionary Learning | 23 pages | null | null | null | cs.DS cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In dictionary learning, also known as sparse coding, the algorithm is given
samples of the form $y = Ax$ where $x\in \mathbb{R}^m$ is an unknown random
sparse vector and $A$ is an unknown dictionary matrix in $\mathbb{R}^{n\times
m}$ (usually $m > n$, which is the overcomplete case). The goal is to learn $A$
and $x$. This problem has been studied in neuroscience, machine learning,
visions, and image processing. In practice it is solved by heuristic algorithms
and provable algorithms seemed hard to find. Recently, provable algorithms were
found that work if the unknown feature vector $x$ is $\sqrt{n}$-sparse or even
sparser. Spielman et al. \cite{DBLP:journals/jmlr/SpielmanWW12} did this for
dictionaries where $m=n$; Arora et al. \cite{AGM} gave an algorithm for
overcomplete ($m >n$) and incoherent matrices $A$; and Agarwal et al.
\cite{DBLP:journals/corr/AgarwalAN13} handled a similar case but with weaker
guarantees.
This raised the problem of designing provable algorithms that allow sparsity
$\gg \sqrt{n}$ in the hidden vector $x$. The current paper designs algorithms
that allow sparsity up to $n/poly(\log n)$. It works for a class of matrices
where features are individually recoverable, a new notion identified in this
paper that may motivate further work.
The algorithm runs in quasipolynomial time because they use limited
enumeration.
| [
{
"created": "Fri, 3 Jan 2014 02:52:17 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Arora",
"Sanjeev",
""
],
[
"Bhaskara",
"Aditya",
""
],
[
"Ge",
"Rong",
""
],
[
"Ma",
"Tengyu",
""
]
] | [
-0.051322486251592636,
-0.033685777336359024,
-0.09586555510759354,
-0.0396682433784008,
0.025417817756533623,
-0.03736652433872223,
0.020287882536649704,
-0.0764331966638565,
-0.030059292912483215,
0.026744302362203598,
0.032973241060972214,
0.13290001451969147,
0.05420900136232376,
0.03433908522129059,
0.01489394623786211,
0.01451423391699791,
0.03525082394480705,
0.02219245955348015,
0.010504448786377907,
0.002398385899141431,
0.08391008526086807,
-0.001777973840944469,
-0.03440294414758682,
-0.021463759243488312,
0.026049498468637466,
0.0006822303985245526,
0.050381578505039215,
-0.04314210265874863,
-0.009693583473563194,
0.03730892762541771,
0.033023666590452194,
0.022683897987008095,
0.012108054012060165,
-0.06818248331546783,
0.035108257085084915,
0.09186583757400513,
-0.00578329199925065,
0.08533715456724167,
0.0204556155949831,
0.057293184101581573,
0.011927058920264244,
0.07398595660924911,
-0.07421339303255081,
0.04757833853363991,
0.04727533832192421,
-0.012207300402224064,
-0.00346599449403584,
-0.04169996455311775,
0.022939004004001617,
-0.01684587448835373,
-0.04739896208047867,
-0.011145031079649925,
-0.009438205510377884,
-0.019170572981238365,
-0.0015398127725347877,
-0.07889322191476822,
-0.0855536162853241,
0.030369453132152557,
-0.05049235001206398,
0.046003490686416626,
-0.01620856299996376,
-0.08236156404018402,
-0.026966648176312447,
0.027776215225458145,
0.03873220086097717,
0.023134738206863403,
0.05107846111059189,
-0.0045743887312710285,
-0.053869619965553284,
-0.036220040172338486,
-0.0069033196195960045,
0.059582047164440155,
0.025192946195602417,
0.08786465972661972,
0.059599410742521286,
-0.03149888664484024,
0.028209686279296875,
-0.0278784167021513,
0.03331584855914116,
0.07681100070476532,
-0.012493512593209743,
0.05448497459292412,
-0.044789884239435196,
-0.01685323193669319,
0.06963002681732178,
-0.05000336840748787,
-0.004343422129750252,
0.017024869099259377,
0.004648289643228054,
-0.04677965119481087,
-0.02753869816660881,
-0.07328625023365021,
-0.10124777257442474,
-0.030537109822034836,
0.026217229664325714,
-0.020140506327152252,
0.10628153383731842,
-0.004186852835118771,
0.007806065026670694,
0.05509767681360245,
0.015226030722260475,
-0.04210461303591728,
0.022080138325691223,
0.024019800126552582,
0.0031190025620162487,
0.05815201625227928,
0.01832856796681881,
0.03398248553276062,
0.11047112196683884,
-0.03596120700240135,
0.019095180556178093,
-0.06618615984916687,
-0.04741360992193222,
0.05261522904038429,
-0.015136366710066795,
-0.03252666816115379,
-0.00468166870996356,
0.008730050176382065,
0.030555635690689087,
-0.03488871455192566,
-0.0846296027302742,
-0.06466934084892273,
0.05741177126765251,
0.005167312920093536,
0.03595232218503952,
0.09507907181978226,
-0.09452421963214874,
3.8075327314889325e-33,
-0.004134190268814564,
0.062413837760686874,
-0.013457749038934708,
-0.047110188752412796,
0.005344113800674677,
-0.021502751857042313,
0.07243313640356064,
-0.008173385635018349,
0.07151321321725845,
0.037529535591602325,
-0.0352175235748291,
0.039241667836904526,
-0.020396040752530098,
0.048437729477882385,
-0.021704034879803658,
-0.04491216316819191,
-0.00031861793831922114,
0.03836672008037567,
-0.007191223558038473,
-0.08089575171470642,
0.07001440227031708,
-0.019641727209091187,
-0.000491078884806484,
-0.05107702687382698,
-0.07699171453714371,
-0.12083117663860321,
0.04778240993618965,
-0.11513718962669373,
0.023523619398474693,
0.03395647555589676,
-0.054696254432201385,
0.03180959075689316,
0.04567059129476547,
0.10265366733074188,
0.00588854169473052,
-0.0396028608083725,
0.00940626859664917,
-0.03938491269946098,
0.0003753568744286895,
-0.04412578046321869,
0.03391488641500473,
0.04047292098402977,
0.04829202592372894,
-0.08038650453090668,
-0.02970469743013382,
-0.003213569987565279,
0.061341073364019394,
-0.017201175913214684,
-0.06941250711679459,
-0.10903370380401611,
0.03387121483683586,
-0.01965717226266861,
-0.08094289153814316,
0.0024202645290642977,
0.024806760251522064,
0.05580853298306465,
-0.06776652485132217,
-0.05377920717000961,
0.08353450894355774,
0.07342857122421265,
-0.010731523856520653,
-0.04632861539721489,
0.043114397674798965,
0.02896878682076931,
0.0153695959597826,
0.028029052540659904,
-0.034261759370565414,
-0.06570713967084885,
0.03600432351231575,
-0.0008525288430973887,
0.03573121875524521,
0.026380810886621475,
-0.03847791627049446,
-0.08322218060493469,
0.05020614340901375,
-0.015525118447840214,
0.14802871644496918,
0.014005369506776333,
-0.04992713779211044,
-0.010260985232889652,
0.013401288539171219,
0.02668491005897522,
0.008413786999881268,
-0.034028757363557816,
-0.07182033360004425,
0.07643478363752365,
-0.01421324536204338,
-0.11023321747779846,
-0.0472448468208313,
-0.04948160797357559,
-0.04673803597688675,
0.016459587961435318,
-0.077865831553936,
-0.0887293815612793,
0.006292894948273897,
-3.3847364335149416e-33,
-0.05582311004400253,
0.006709841080009937,
0.08511174470186234,
0.029213475063443184,
-0.02268700860440731,
-0.07556701451539993,
0.0014614840038120747,
-0.026039090007543564,
0.026185236871242523,
-0.1031825914978981,
-0.09014591574668884,
-0.012138948775827885,
0.0340602770447731,
-0.021618545055389404,
-0.03588489443063736,
0.12750445306301117,
-0.04278583452105522,
0.022632474079728127,
0.024655228480696678,
0.06140046939253807,
-0.029056502506136894,
0.03717600554227829,
-0.02962591126561165,
-0.0519348606467247,
0.013714317232370377,
0.03499922156333923,
-0.0019517340697348118,
0.08009327948093414,
0.03152143582701683,
-0.0065078167244791985,
0.000207009885343723,
-0.048167239874601364,
-0.12133881449699402,
-0.03898978233337402,
-0.05065332353115082,
0.10322397202253342,
-0.05524737760424614,
0.027534037828445435,
-0.06385098397731781,
0.04368147626519203,
-0.013763424940407276,
0.04286177083849907,
-0.07178110629320145,
-0.010582925751805305,
0.03471287339925766,
-0.0820799395442009,
-0.05182776600122452,
0.0051122792065143585,
0.08973488211631775,
0.0206874068826437,
0.0513017438352108,
0.02506805956363678,
-0.023094825446605682,
0.054576631635427475,
-0.03255787119269371,
0.03308998420834541,
-0.029504140838980675,
0.0630410760641098,
0.04640099033713341,
-0.005197886377573013,
-0.0694633200764656,
-0.05401182174682617,
-0.08519701659679413,
0.06690765172243118,
0.03091374784708023,
-0.007767640519887209,
0.024043019860982895,
0.036261383444070816,
0.015074756927788258,
0.0715426504611969,
0.019534936174750328,
0.021753273904323578,
-0.044209349900484085,
-0.029398461803793907,
0.05026454105973244,
0.03523914888501167,
-0.011111924424767494,
-0.03929119184613228,
-0.0668676346540451,
0.00238330801948905,
0.035568900406360626,
0.04395376145839691,
-0.025390401482582092,
0.025057630613446236,
0.0029993534553796053,
0.1340484917163849,
0.07399400323629379,
-0.045662425458431244,
-0.011137726716697216,
-0.008173595182597637,
0.06482277065515518,
-0.02960311435163021,
0.011217906139791012,
0.009990443475544453,
-0.006547295488417149,
-5.186537066492747e-8,
-0.06957196444272995,
0.03436136618256569,
0.0003467138740234077,
-0.10387774556875229,
0.13194645941257477,
-0.07156643271446228,
0.02241826429963112,
0.011745145544409752,
0.023913851007819176,
-0.11250436305999756,
0.038814373314380646,
-0.026594124734401703,
-0.01635015197098255,
0.0019817373249679804,
-0.028856361284852028,
0.06180604174733162,
-0.006438900716602802,
0.03436373546719551,
-0.009137066081166267,
0.04551532119512558,
0.0023939006496220827,
-0.06818531453609467,
0.011173924431204796,
0.04909992963075638,
0.016499551013112068,
-0.047895412892103195,
-0.022723471745848656,
-0.012742324732244015,
0.08485853672027588,
0.08018340915441513,
-0.16437946259975433,
0.033255331218242645,
0.10607268661260605,
-0.06881370395421982,
0.1314036250114441,
0.042212724685668945,
0.05200944095849991,
-0.024646732956171036,
-0.12248218059539795,
-0.07698767632246017,
0.013009404763579369,
-0.04266973212361336,
0.06097455322742462,
-0.006294511258602142,
0.025633206591010094,
0.009800758212804794,
0.014496647752821445,
-0.012596086598932743,
-0.005203255917876959,
-0.025434032082557678,
0.0570383183658123,
0.06186327710747719,
0.013541584834456444,
0.05156107619404793,
0.04756217449903488,
-0.008862926624715328,
-0.029302753508090973,
-0.05385032668709755,
0.019625438377261162,
0.02764216437935829,
0.03621290251612663,
0.037923939526081085,
-0.045044783502817154,
0.01715642772614956
] | null | null | null | null | null | null | null | [
-0.051322486251592636,
-0.033685777336359024,
-0.09586555510759354,
-0.0396682433784008,
0.025417817756533623,
-0.03736652433872223,
0.020287882536649704,
-0.0764331966638565,
-0.030059292912483215,
0.026744302362203598,
0.032973241060972214,
0.13290001451969147,
0.05420900136232376,
0.03433908522129059,
0.01489394623786211,
0.01451423391699791,
0.03525082394480705,
0.02219245955348015,
0.010504448786377907,
0.002398385899141431,
0.08391008526086807,
-0.001777973840944469,
-0.03440294414758682,
-0.021463759243488312,
0.026049498468637466,
0.0006822303985245526,
0.050381578505039215,
-0.04314210265874863,
-0.009693583473563194,
0.03730892762541771,
0.033023666590452194,
0.022683897987008095,
0.012108054012060165,
-0.06818248331546783,
0.035108257085084915,
0.09186583757400513,
-0.00578329199925065,
0.08533715456724167,
0.0204556155949831,
0.057293184101581573,
0.011927058920264244,
0.07398595660924911,
-0.07421339303255081,
0.04757833853363991,
0.04727533832192421,
-0.012207300402224064,
-0.00346599449403584,
-0.04169996455311775,
0.022939004004001617,
-0.01684587448835373,
-0.04739896208047867,
-0.011145031079649925,
-0.009438205510377884,
-0.019170572981238365,
-0.0015398127725347877,
-0.07889322191476822,
-0.0855536162853241,
0.030369453132152557,
-0.05049235001206398,
0.046003490686416626,
-0.01620856299996376,
-0.08236156404018402,
-0.026966648176312447,
0.027776215225458145,
0.03873220086097717,
0.023134738206863403,
0.05107846111059189,
-0.0045743887312710285,
-0.053869619965553284,
-0.036220040172338486,
-0.0069033196195960045,
0.059582047164440155,
0.025192946195602417,
0.08786465972661972,
0.059599410742521286,
-0.03149888664484024,
0.028209686279296875,
-0.0278784167021513,
0.03331584855914116,
0.07681100070476532,
-0.012493512593209743,
0.05448497459292412,
-0.044789884239435196,
-0.01685323193669319,
0.06963002681732178,
-0.05000336840748787,
-0.004343422129750252,
0.017024869099259377,
0.004648289643228054,
-0.04677965119481087,
-0.02753869816660881,
-0.07328625023365021,
-0.10124777257442474,
-0.030537109822034836,
0.026217229664325714,
-0.020140506327152252,
0.10628153383731842,
-0.004186852835118771,
0.007806065026670694,
0.05509767681360245,
0.015226030722260475,
-0.04210461303591728,
0.022080138325691223,
0.024019800126552582,
0.0031190025620162487,
0.05815201625227928,
0.01832856796681881,
0.03398248553276062,
0.11047112196683884,
-0.03596120700240135,
0.019095180556178093,
-0.06618615984916687,
-0.04741360992193222,
0.05261522904038429,
-0.015136366710066795,
-0.03252666816115379,
-0.00468166870996356,
0.008730050176382065,
0.030555635690689087,
-0.03488871455192566,
-0.0846296027302742,
-0.06466934084892273,
0.05741177126765251,
0.005167312920093536,
0.03595232218503952,
0.09507907181978226,
-0.09452421963214874,
3.8075327314889325e-33,
-0.004134190268814564,
0.062413837760686874,
-0.013457749038934708,
-0.047110188752412796,
0.005344113800674677,
-0.021502751857042313,
0.07243313640356064,
-0.008173385635018349,
0.07151321321725845,
0.037529535591602325,
-0.0352175235748291,
0.039241667836904526,
-0.020396040752530098,
0.048437729477882385,
-0.021704034879803658,
-0.04491216316819191,
-0.00031861793831922114,
0.03836672008037567,
-0.007191223558038473,
-0.08089575171470642,
0.07001440227031708,
-0.019641727209091187,
-0.000491078884806484,
-0.05107702687382698,
-0.07699171453714371,
-0.12083117663860321,
0.04778240993618965,
-0.11513718962669373,
0.023523619398474693,
0.03395647555589676,
-0.054696254432201385,
0.03180959075689316,
0.04567059129476547,
0.10265366733074188,
0.00588854169473052,
-0.0396028608083725,
0.00940626859664917,
-0.03938491269946098,
0.0003753568744286895,
-0.04412578046321869,
0.03391488641500473,
0.04047292098402977,
0.04829202592372894,
-0.08038650453090668,
-0.02970469743013382,
-0.003213569987565279,
0.061341073364019394,
-0.017201175913214684,
-0.06941250711679459,
-0.10903370380401611,
0.03387121483683586,
-0.01965717226266861,
-0.08094289153814316,
0.0024202645290642977,
0.024806760251522064,
0.05580853298306465,
-0.06776652485132217,
-0.05377920717000961,
0.08353450894355774,
0.07342857122421265,
-0.010731523856520653,
-0.04632861539721489,
0.043114397674798965,
0.02896878682076931,
0.0153695959597826,
0.028029052540659904,
-0.034261759370565414,
-0.06570713967084885,
0.03600432351231575,
-0.0008525288430973887,
0.03573121875524521,
0.026380810886621475,
-0.03847791627049446,
-0.08322218060493469,
0.05020614340901375,
-0.015525118447840214,
0.14802871644496918,
0.014005369506776333,
-0.04992713779211044,
-0.010260985232889652,
0.013401288539171219,
0.02668491005897522,
0.008413786999881268,
-0.034028757363557816,
-0.07182033360004425,
0.07643478363752365,
-0.01421324536204338,
-0.11023321747779846,
-0.0472448468208313,
-0.04948160797357559,
-0.04673803597688675,
0.016459587961435318,
-0.077865831553936,
-0.0887293815612793,
0.006292894948273897,
-3.3847364335149416e-33,
-0.05582311004400253,
0.006709841080009937,
0.08511174470186234,
0.029213475063443184,
-0.02268700860440731,
-0.07556701451539993,
0.0014614840038120747,
-0.026039090007543564,
0.026185236871242523,
-0.1031825914978981,
-0.09014591574668884,
-0.012138948775827885,
0.0340602770447731,
-0.021618545055389404,
-0.03588489443063736,
0.12750445306301117,
-0.04278583452105522,
0.022632474079728127,
0.024655228480696678,
0.06140046939253807,
-0.029056502506136894,
0.03717600554227829,
-0.02962591126561165,
-0.0519348606467247,
0.013714317232370377,
0.03499922156333923,
-0.0019517340697348118,
0.08009327948093414,
0.03152143582701683,
-0.0065078167244791985,
0.000207009885343723,
-0.048167239874601364,
-0.12133881449699402,
-0.03898978233337402,
-0.05065332353115082,
0.10322397202253342,
-0.05524737760424614,
0.027534037828445435,
-0.06385098397731781,
0.04368147626519203,
-0.013763424940407276,
0.04286177083849907,
-0.07178110629320145,
-0.010582925751805305,
0.03471287339925766,
-0.0820799395442009,
-0.05182776600122452,
0.0051122792065143585,
0.08973488211631775,
0.0206874068826437,
0.0513017438352108,
0.02506805956363678,
-0.023094825446605682,
0.054576631635427475,
-0.03255787119269371,
0.03308998420834541,
-0.029504140838980675,
0.0630410760641098,
0.04640099033713341,
-0.005197886377573013,
-0.0694633200764656,
-0.05401182174682617,
-0.08519701659679413,
0.06690765172243118,
0.03091374784708023,
-0.007767640519887209,
0.024043019860982895,
0.036261383444070816,
0.015074756927788258,
0.0715426504611969,
0.019534936174750328,
0.021753273904323578,
-0.044209349900484085,
-0.029398461803793907,
0.05026454105973244,
0.03523914888501167,
-0.011111924424767494,
-0.03929119184613228,
-0.0668676346540451,
0.00238330801948905,
0.035568900406360626,
0.04395376145839691,
-0.025390401482582092,
0.025057630613446236,
0.0029993534553796053,
0.1340484917163849,
0.07399400323629379,
-0.045662425458431244,
-0.011137726716697216,
-0.008173595182597637,
0.06482277065515518,
-0.02960311435163021,
0.011217906139791012,
0.009990443475544453,
-0.006547295488417149,
-5.186537066492747e-8,
-0.06957196444272995,
0.03436136618256569,
0.0003467138740234077,
-0.10387774556875229,
0.13194645941257477,
-0.07156643271446228,
0.02241826429963112,
0.011745145544409752,
0.023913851007819176,
-0.11250436305999756,
0.038814373314380646,
-0.026594124734401703,
-0.01635015197098255,
0.0019817373249679804,
-0.028856361284852028,
0.06180604174733162,
-0.006438900716602802,
0.03436373546719551,
-0.009137066081166267,
0.04551532119512558,
0.0023939006496220827,
-0.06818531453609467,
0.011173924431204796,
0.04909992963075638,
0.016499551013112068,
-0.047895412892103195,
-0.022723471745848656,
-0.012742324732244015,
0.08485853672027588,
0.08018340915441513,
-0.16437946259975433,
0.033255331218242645,
0.10607268661260605,
-0.06881370395421982,
0.1314036250114441,
0.042212724685668945,
0.05200944095849991,
-0.024646732956171036,
-0.12248218059539795,
-0.07698767632246017,
0.013009404763579369,
-0.04266973212361336,
0.06097455322742462,
-0.006294511258602142,
0.025633206591010094,
0.009800758212804794,
0.014496647752821445,
-0.012596086598932743,
-0.005203255917876959,
-0.025434032082557678,
0.0570383183658123,
0.06186327710747719,
0.013541584834456444,
0.05156107619404793,
0.04756217449903488,
-0.008862926624715328,
-0.029302753508090973,
-0.05385032668709755,
0.019625438377261162,
0.02764216437935829,
0.03621290251612663,
0.037923939526081085,
-0.045044783502817154,
0.01715642772614956
] |
1401.0583 | Garrett Warnell | Garrett Warnell, Sourabh Bhattacharya, Rama Chellappa, Tamer Basar | Adaptive-Rate Compressive Sensing Using Side Information | null | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide two novel adaptive-rate compressive sensing (CS) strategies for
sparse, time-varying signals using side information. Our first method utilizes
extra cross-validation measurements, and the second one exploits extra
low-resolution measurements. Unlike the majority of current CS techniques, we
do not assume that we know an upper bound on the number of significant
coefficients that comprise the images in the video sequence. Instead, we use
the side information to predict the number of significant coefficients in the
signal at the next time instant. For each image in the video sequence, our
techniques specify a fixed number of spatially-multiplexed CS measurements to
acquire, and adjust this quantity from image to image. Our strategies are
developed in the specific context of background subtraction for surveillance
video, and we experimentally validate the proposed methods on real video
sequences.
| [
{
"created": "Fri, 3 Jan 2014 04:01:29 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Warnell",
"Garrett",
""
],
[
"Bhattacharya",
"Sourabh",
""
],
[
"Chellappa",
"Rama",
""
],
[
"Basar",
"Tamer",
""
]
] | [
-0.030786994844675064,
-0.01142491027712822,
-0.013177194632589817,
0.04917475953698158,
0.11093143373727798,
0.03602296859025955,
-0.025250347331166267,
-0.005435318220406771,
0.04595308378338814,
-0.06244874745607376,
-0.04289676621556282,
0.007860029116272926,
-0.02010657638311386,
0.019130274653434753,
-0.0077681816183030605,
-0.05361027270555496,
0.03359874710440636,
0.08101367205381393,
-0.06444784253835678,
-0.0423060804605484,
-0.016743676736950874,
-0.14277446269989014,
0.07947089523077011,
0.05122952163219452,
0.0736115574836731,
-0.03428838774561882,
0.015803223475813866,
0.02531355433166027,
-0.008323018439114094,
0.07313071936368942,
0.04544442147016525,
0.04324084520339966,
0.1010877713561058,
-0.019151441752910614,
-0.03200817108154297,
-0.014003063552081585,
0.004370434209704399,
0.07095766812562943,
0.05649060383439064,
0.009560114704072475,
-0.0015833991346880794,
0.06366898119449615,
0.018697619438171387,
-0.0008393388707190752,
-0.07336614280939102,
0.041027795523405075,
0.1130644679069519,
-0.08211414515972137,
0.00972401350736618,
-0.006294392514973879,
0.052874285727739334,
0.09397131949663162,
0.0028047615196555853,
0.022201523184776306,
-0.06591711938381195,
0.04216112941503525,
-0.07627123594284058,
0.011233219876885414,
0.020541347563266754,
0.027876829728484154,
0.04844532534480095,
-0.01931474357843399,
0.01385524496436119,
0.03318040072917938,
0.001921132206916809,
0.06411337852478027,
0.08775798976421356,
0.01995106413960457,
0.03538311645388603,
0.024059290066361427,
-0.08977406471967697,
0.05477721616625786,
-0.0028140698559582233,
0.03388034552335739,
-0.05368335172533989,
-0.0520850270986557,
0.05789516493678093,
0.0034700031392276287,
0.028438184410333633,
-0.035461485385894775,
0.03199799731373787,
-0.024471793323755264,
-0.0323617048561573,
0.011851869523525238,
0.06814190745353699,
-0.01937033236026764,
0.02875262312591076,
0.03962092474102974,
-0.03228653594851494,
-0.047059569507837296,
-0.12210708111524582,
-0.02870279550552368,
-0.04541291669011116,
-0.012685173191130161,
-0.05872642621397972,
-0.0544668585062027,
-0.019248416647315025,
0.0027791482862085104,
0.06717550754547119,
0.04510335996747017,
-0.019980989396572113,
-0.0737413614988327,
0.011825121939182281,
0.08522511273622513,
0.050179123878479004,
-0.0012428592890501022,
0.05250494182109833,
0.022774383425712585,
0.07056980580091476,
0.09957953542470932,
0.08980536460876465,
0.039686527103185654,
0.038802653551101685,
0.002677980111911893,
0.07354166358709335,
-0.030430426821112633,
0.003612526459619403,
0.0043749078176915646,
-0.031008698046207428,
0.008768994361162186,
0.048163022845983505,
-0.1494002491235733,
-0.028812013566493988,
-0.05799209326505661,
0.10000258684158325,
0.029316198080778122,
-0.014168416149914265,
-2.1376128006314766e-35,
0.0035885260440409184,
0.08458913117647171,
0.039293017238378525,
0.05595680698752403,
0.020184257999062538,
0.08193270862102509,
0.03051983192563057,
0.0004781495954375714,
-0.001144177746027708,
0.1369803100824356,
0.012767869979143143,
0.003033841960132122,
-0.007960721850395203,
0.028597403317689896,
0.020742403343319893,
0.018515126779675484,
-0.05332450941205025,
0.003797392128035426,
0.07259038835763931,
0.004729605745524168,
-0.00022072196588851511,
-0.06140867993235588,
-0.03387552127242088,
-0.055200882256031036,
-0.004278840962797403,
-0.10906422138214111,
0.05633788928389549,
-0.056330256164073944,
0.05767423287034035,
-0.05100391432642937,
-0.048300858587026596,
0.003107034368440509,
0.05423138290643692,
0.01036764681339264,
0.10028853267431259,
-0.039303917437791824,
-0.003453461918979883,
0.03216630220413208,
-0.06376702338457108,
0.03625987470149994,
0.045363470911979675,
0.0948362872004509,
0.0027380972169339657,
-0.08489540964365005,
-0.019082454964518547,
-0.10257517546415329,
0.015439233742654324,
0.05470198020339012,
-0.10528887063264847,
0.05931834131479263,
0.02525845542550087,
-0.01877671293914318,
-0.06092002987861633,
-0.06121581420302391,
-0.09180989861488342,
-0.010140132158994675,
0.005395702086389065,
-0.06457934528589249,
0.025395769625902176,
0.024642428383231163,
-0.004659225232899189,
-0.028845036402344704,
-0.028600195422768593,
-0.009529306553304195,
0.0366702564060688,
-0.0195072740316391,
0.03572898730635643,
0.05075698718428612,
-0.037777867168188095,
0.010857121087610722,
0.002697665011510253,
0.051186345517635345,
0.02061106637120247,
-0.07009925693273544,
0.07323098927736282,
0.035279616713523865,
0.07080540806055069,
0.035481616854667664,
-0.0579378679394722,
0.008024806156754494,
-0.005996770691126585,
-0.0015830545453354716,
0.09560183435678482,
-0.005141880828887224,
-0.028914079070091248,
0.06836926192045212,
-0.02750219963490963,
-0.08720055222511292,
-0.04404744878411293,
-0.07263854146003723,
-0.023186104372143745,
-0.064934641122818,
-0.0471612885594368,
-0.033936772495508194,
-0.04894953966140747,
1.7611491462889676e-33,
0.07331648468971252,
0.06036635860800743,
-0.008033746853470802,
-0.0359807014465332,
-0.009254717268049717,
-0.02015058696269989,
0.03464163839817047,
-0.009086382575333118,
0.03011697344481945,
-0.04192342981696129,
-0.013836399652063847,
-0.06286677718162537,
0.025511322543025017,
0.015705639496445656,
-0.030844107270240784,
0.021408256143331528,
-0.037293024361133575,
-0.008338509127497673,
-0.0707337036728859,
-0.024592360481619835,
0.01222688052803278,
0.018729619681835175,
-0.012076826766133308,
-0.036893267184495926,
0.0028540329076349735,
0.04060826450586319,
0.010410469025373459,
0.1412144899368286,
0.03623605892062187,
-0.0941295251250267,
0.010315122082829475,
-0.03860928490757942,
0.0129429055377841,
-0.06124106049537659,
-0.04368031397461891,
0.01378526072949171,
0.0031398285645991564,
0.04326939210295677,
-0.03199879080057144,
0.07080771028995514,
0.04675864800810814,
0.06703652441501617,
-0.04228561371564865,
0.015725152567029,
-0.02563135139644146,
-0.02336467057466507,
-0.06701672822237015,
0.031142903491854668,
-0.01424123253673315,
0.0349833220243454,
0.02284402772784233,
0.038993701338768005,
-0.09494313597679138,
0.05981994792819023,
0.04840794578194618,
-0.012311365455389023,
-0.10796618461608887,
0.018510058522224426,
0.08476416021585464,
0.034581080079078674,
-0.0025590090081095695,
0.05899816378951073,
-0.13577581942081451,
0.043571311980485916,
0.029650339856743813,
0.05944065377116203,
-0.029010305181145668,
-0.02635592222213745,
-0.011432520113885403,
0.05457640811800957,
0.05959787964820862,
0.01594095677137375,
-0.01900423690676689,
0.02717505767941475,
0.06470853090286255,
0.04403415694832802,
-0.005857630632817745,
-0.039462074637413025,
-0.03849898278713226,
0.07459862530231476,
0.016060860827565193,
-0.11487019807100296,
0.058473482728004456,
-0.01651141233742237,
0.018830005079507828,
0.14255110919475555,
0.006111360155045986,
0.011916848830878735,
-0.0013745106989517808,
-0.05425659567117691,
-0.058454614132642746,
0.022949550300836563,
0.033298760652542114,
-0.04257960617542267,
0.021555107086896896,
-4.6362060857063625e-8,
-0.08988592028617859,
0.021989336237311363,
-0.07490380108356476,
-0.06680808961391449,
-0.041427746415138245,
-0.07377051562070847,
0.01828349381685257,
-0.07543405890464783,
0.02612367458641529,
-0.11791129410266876,
0.06348059326410294,
-0.06848959624767303,
-0.055596478283405304,
0.03303801640868187,
-0.03790464997291565,
-0.002062636660411954,
0.00681617297232151,
-0.025276528671383858,
-0.020912878215312958,
0.06585054844617844,
-0.09197922796010971,
0.02016729675233364,
-0.0018611826235428452,
-0.02928937040269375,
0.07745104283094406,
-0.00013386715727392584,
0.045241910964250565,
0.040120068937540054,
0.08716990798711777,
0.01549930963665247,
-0.012106845155358315,
0.01948053203523159,
0.029228683561086655,
-0.020854974165558815,
0.015469133853912354,
0.028918100520968437,
0.04692207649350166,
0.03346499428153038,
-0.049738314002752304,
-0.01755637116730213,
-0.06154467165470123,
-0.06425002962350845,
-0.09042885899543762,
-0.01757829636335373,
0.01606123521924019,
-0.006074290722608566,
0.022945581004023552,
-0.07907683402299881,
-0.03436660021543503,
-0.07617229223251343,
0.0630561038851738,
0.01746075414121151,
0.031875718384981155,
0.054436299949884415,
0.12675853073596954,
-0.056508179754018784,
0.07171308994293213,
-0.020925918594002724,
0.01877295970916748,
0.04492240026593208,
-0.04015292972326279,
0.0003529639798216522,
-0.06414777040481567,
-0.0254658292979002
] | null | null | null | null | null | null | null | [
-0.030786994844675064,
-0.01142491027712822,
-0.013177194632589817,
0.04917475953698158,
0.11093143373727798,
0.03602296859025955,
-0.025250347331166267,
-0.005435318220406771,
0.04595308378338814,
-0.06244874745607376,
-0.04289676621556282,
0.007860029116272926,
-0.02010657638311386,
0.019130274653434753,
-0.0077681816183030605,
-0.05361027270555496,
0.03359874710440636,
0.08101367205381393,
-0.06444784253835678,
-0.0423060804605484,
-0.016743676736950874,
-0.14277446269989014,
0.07947089523077011,
0.05122952163219452,
0.0736115574836731,
-0.03428838774561882,
0.015803223475813866,
0.02531355433166027,
-0.008323018439114094,
0.07313071936368942,
0.04544442147016525,
0.04324084520339966,
0.1010877713561058,
-0.019151441752910614,
-0.03200817108154297,
-0.014003063552081585,
0.004370434209704399,
0.07095766812562943,
0.05649060383439064,
0.009560114704072475,
-0.0015833991346880794,
0.06366898119449615,
0.018697619438171387,
-0.0008393388707190752,
-0.07336614280939102,
0.041027795523405075,
0.1130644679069519,
-0.08211414515972137,
0.00972401350736618,
-0.006294392514973879,
0.052874285727739334,
0.09397131949663162,
0.0028047615196555853,
0.022201523184776306,
-0.06591711938381195,
0.04216112941503525,
-0.07627123594284058,
0.011233219876885414,
0.020541347563266754,
0.027876829728484154,
0.04844532534480095,
-0.01931474357843399,
0.01385524496436119,
0.03318040072917938,
0.001921132206916809,
0.06411337852478027,
0.08775798976421356,
0.01995106413960457,
0.03538311645388603,
0.024059290066361427,
-0.08977406471967697,
0.05477721616625786,
-0.0028140698559582233,
0.03388034552335739,
-0.05368335172533989,
-0.0520850270986557,
0.05789516493678093,
0.0034700031392276287,
0.028438184410333633,
-0.035461485385894775,
0.03199799731373787,
-0.024471793323755264,
-0.0323617048561573,
0.011851869523525238,
0.06814190745353699,
-0.01937033236026764,
0.02875262312591076,
0.03962092474102974,
-0.03228653594851494,
-0.047059569507837296,
-0.12210708111524582,
-0.02870279550552368,
-0.04541291669011116,
-0.012685173191130161,
-0.05872642621397972,
-0.0544668585062027,
-0.019248416647315025,
0.0027791482862085104,
0.06717550754547119,
0.04510335996747017,
-0.019980989396572113,
-0.0737413614988327,
0.011825121939182281,
0.08522511273622513,
0.050179123878479004,
-0.0012428592890501022,
0.05250494182109833,
0.022774383425712585,
0.07056980580091476,
0.09957953542470932,
0.08980536460876465,
0.039686527103185654,
0.038802653551101685,
0.002677980111911893,
0.07354166358709335,
-0.030430426821112633,
0.003612526459619403,
0.0043749078176915646,
-0.031008698046207428,
0.008768994361162186,
0.048163022845983505,
-0.1494002491235733,
-0.028812013566493988,
-0.05799209326505661,
0.10000258684158325,
0.029316198080778122,
-0.014168416149914265,
-2.1376128006314766e-35,
0.0035885260440409184,
0.08458913117647171,
0.039293017238378525,
0.05595680698752403,
0.020184257999062538,
0.08193270862102509,
0.03051983192563057,
0.0004781495954375714,
-0.001144177746027708,
0.1369803100824356,
0.012767869979143143,
0.003033841960132122,
-0.007960721850395203,
0.028597403317689896,
0.020742403343319893,
0.018515126779675484,
-0.05332450941205025,
0.003797392128035426,
0.07259038835763931,
0.004729605745524168,
-0.00022072196588851511,
-0.06140867993235588,
-0.03387552127242088,
-0.055200882256031036,
-0.004278840962797403,
-0.10906422138214111,
0.05633788928389549,
-0.056330256164073944,
0.05767423287034035,
-0.05100391432642937,
-0.048300858587026596,
0.003107034368440509,
0.05423138290643692,
0.01036764681339264,
0.10028853267431259,
-0.039303917437791824,
-0.003453461918979883,
0.03216630220413208,
-0.06376702338457108,
0.03625987470149994,
0.045363470911979675,
0.0948362872004509,
0.0027380972169339657,
-0.08489540964365005,
-0.019082454964518547,
-0.10257517546415329,
0.015439233742654324,
0.05470198020339012,
-0.10528887063264847,
0.05931834131479263,
0.02525845542550087,
-0.01877671293914318,
-0.06092002987861633,
-0.06121581420302391,
-0.09180989861488342,
-0.010140132158994675,
0.005395702086389065,
-0.06457934528589249,
0.025395769625902176,
0.024642428383231163,
-0.004659225232899189,
-0.028845036402344704,
-0.028600195422768593,
-0.009529306553304195,
0.0366702564060688,
-0.0195072740316391,
0.03572898730635643,
0.05075698718428612,
-0.037777867168188095,
0.010857121087610722,
0.002697665011510253,
0.051186345517635345,
0.02061106637120247,
-0.07009925693273544,
0.07323098927736282,
0.035279616713523865,
0.07080540806055069,
0.035481616854667664,
-0.0579378679394722,
0.008024806156754494,
-0.005996770691126585,
-0.0015830545453354716,
0.09560183435678482,
-0.005141880828887224,
-0.028914079070091248,
0.06836926192045212,
-0.02750219963490963,
-0.08720055222511292,
-0.04404744878411293,
-0.07263854146003723,
-0.023186104372143745,
-0.064934641122818,
-0.0471612885594368,
-0.033936772495508194,
-0.04894953966140747,
1.7611491462889676e-33,
0.07331648468971252,
0.06036635860800743,
-0.008033746853470802,
-0.0359807014465332,
-0.009254717268049717,
-0.02015058696269989,
0.03464163839817047,
-0.009086382575333118,
0.03011697344481945,
-0.04192342981696129,
-0.013836399652063847,
-0.06286677718162537,
0.025511322543025017,
0.015705639496445656,
-0.030844107270240784,
0.021408256143331528,
-0.037293024361133575,
-0.008338509127497673,
-0.0707337036728859,
-0.024592360481619835,
0.01222688052803278,
0.018729619681835175,
-0.012076826766133308,
-0.036893267184495926,
0.0028540329076349735,
0.04060826450586319,
0.010410469025373459,
0.1412144899368286,
0.03623605892062187,
-0.0941295251250267,
0.010315122082829475,
-0.03860928490757942,
0.0129429055377841,
-0.06124106049537659,
-0.04368031397461891,
0.01378526072949171,
0.0031398285645991564,
0.04326939210295677,
-0.03199879080057144,
0.07080771028995514,
0.04675864800810814,
0.06703652441501617,
-0.04228561371564865,
0.015725152567029,
-0.02563135139644146,
-0.02336467057466507,
-0.06701672822237015,
0.031142903491854668,
-0.01424123253673315,
0.0349833220243454,
0.02284402772784233,
0.038993701338768005,
-0.09494313597679138,
0.05981994792819023,
0.04840794578194618,
-0.012311365455389023,
-0.10796618461608887,
0.018510058522224426,
0.08476416021585464,
0.034581080079078674,
-0.0025590090081095695,
0.05899816378951073,
-0.13577581942081451,
0.043571311980485916,
0.029650339856743813,
0.05944065377116203,
-0.029010305181145668,
-0.02635592222213745,
-0.011432520113885403,
0.05457640811800957,
0.05959787964820862,
0.01594095677137375,
-0.01900423690676689,
0.02717505767941475,
0.06470853090286255,
0.04403415694832802,
-0.005857630632817745,
-0.039462074637413025,
-0.03849898278713226,
0.07459862530231476,
0.016060860827565193,
-0.11487019807100296,
0.058473482728004456,
-0.01651141233742237,
0.018830005079507828,
0.14255110919475555,
0.006111360155045986,
0.011916848830878735,
-0.0013745106989517808,
-0.05425659567117691,
-0.058454614132642746,
0.022949550300836563,
0.033298760652542114,
-0.04257960617542267,
0.021555107086896896,
-4.6362060857063625e-8,
-0.08988592028617859,
0.021989336237311363,
-0.07490380108356476,
-0.06680808961391449,
-0.041427746415138245,
-0.07377051562070847,
0.01828349381685257,
-0.07543405890464783,
0.02612367458641529,
-0.11791129410266876,
0.06348059326410294,
-0.06848959624767303,
-0.055596478283405304,
0.03303801640868187,
-0.03790464997291565,
-0.002062636660411954,
0.00681617297232151,
-0.025276528671383858,
-0.020912878215312958,
0.06585054844617844,
-0.09197922796010971,
0.02016729675233364,
-0.0018611826235428452,
-0.02928937040269375,
0.07745104283094406,
-0.00013386715727392584,
0.045241910964250565,
0.040120068937540054,
0.08716990798711777,
0.01549930963665247,
-0.012106845155358315,
0.01948053203523159,
0.029228683561086655,
-0.020854974165558815,
0.015469133853912354,
0.028918100520968437,
0.04692207649350166,
0.03346499428153038,
-0.049738314002752304,
-0.01755637116730213,
-0.06154467165470123,
-0.06425002962350845,
-0.09042885899543762,
-0.01757829636335373,
0.01606123521924019,
-0.006074290722608566,
0.022945581004023552,
-0.07907683402299881,
-0.03436660021543503,
-0.07617229223251343,
0.0630561038851738,
0.01746075414121151,
0.031875718384981155,
0.054436299949884415,
0.12675853073596954,
-0.056508179754018784,
0.07171308994293213,
-0.020925918594002724,
0.01877295970916748,
0.04492240026593208,
-0.04015292972326279,
0.0003529639798216522,
-0.06414777040481567,
-0.0254658292979002
] |
1401.0585 | Thomas Sandholm | Thomas Sandholm, Dongman Lee, Bjorn Tegelund, Seonyeong Han,
Byoungheon Shin, Byoungoh Kim | CloudFridge: A Testbed for Smart Fridge Interactions | null | null | null | null | cs.HC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a testbed for exploring novel smart refrigerator interactions, and
identify three key adoption-limiting interaction shortcomings of
state-of-the-art smart fridges: lack of 1) user experience focus, 2)
low-intrusion object recognition and 2) automatic item position detection. Our
testbed system addresses these limitations by a combination of sensors,
software filters, architectural components and a RESTful API to track
interaction events in real-time, and retrieve current state and historical data
to learn patterns and recommend user actions. We evaluate the accuracy and
overhead of our system in a realistic interaction flow. The accuracy was
measured to 83-88% and the overhead compared to a representative
state-of-the-art barcode scanner improved by 27%. We also showcase two
applications built on top of our testbed, one for finding expired items and
ingredients of dishes; and one to monitor your health. The pattern that these
applications have in common is that they cast the interaction as an
item-recommendation problem triggered when the user takes something out. Our
testbed could help reveal further user-experience centric interaction patterns
and new classes of applications for smart fridges that inherently, by relying
on our testbed primitives, mitigate the issues with existing approaches.
| [
{
"created": "Fri, 3 Jan 2014 04:45:49 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Sandholm",
"Thomas",
""
],
[
"Lee",
"Dongman",
""
],
[
"Tegelund",
"Bjorn",
""
],
[
"Han",
"Seonyeong",
""
],
[
"Shin",
"Byoungheon",
""
],
[
"Kim",
"Byoungoh",
""
]
] | [
-0.07081535458564758,
0.006472322158515453,
-0.013713639229536057,
0.04787583649158478,
0.07031772285699844,
-0.009047453291714191,
0.04840865731239319,
-0.031034162268042564,
-0.03760064020752907,
-0.059485845267772675,
-0.04592961445450783,
-0.00996123906224966,
0.03704189509153366,
0.01861988566815853,
0.0008400057558901608,
-0.03025515004992485,
0.10946687310934067,
-0.05827012658119202,
-0.02651781402528286,
-0.01665627583861351,
-0.035138219594955444,
-0.020124420523643494,
0.05822509527206421,
-0.04702391475439072,
-0.056747741997241974,
0.05947209522128105,
-0.014569064602255821,
-0.09378869831562042,
-0.03471267223358154,
0.032945550978183746,
0.09432809054851532,
-0.007089879829436541,
-0.022320931777358055,
0.023480821400880814,
-0.06327614933252335,
-0.11204568296670914,
0.06456122547388077,
-0.020833278074860573,
-0.05740005895495415,
-0.09553205221891403,
-0.028792982921004295,
-0.004136749543249607,
-0.026229487732052803,
0.05985650420188904,
0.02701294608414173,
0.002940418431535363,
-0.007827719673514366,
-0.04059041664004326,
0.015778712928295135,
0.013985484838485718,
-0.06872248649597168,
-0.0007328587817028165,
0.06541873514652252,
0.022515343502163887,
-0.012056900188326836,
0.046714115887880325,
0.028412964195013046,
-0.051214635372161865,
0.01573573239147663,
0.07671777158975601,
0.05689959600567818,
-0.06241682171821594,
0.04777344688773155,
-0.0014742555795237422,
-0.03333677351474762,
0.02997587062418461,
0.007002019323408604,
0.01755770482122898,
0.028516976162791252,
-0.05291321873664856,
-0.08615346997976303,
0.07535851746797562,
-0.002674499759450555,
0.021361783146858215,
0.05411337688565254,
-0.060754816979169846,
-0.05940166115760803,
-0.14706741273403168,
-0.023247016593813896,
-0.06657044589519501,
-0.04755600169301033,
-0.09340573847293854,
-0.07351475954055786,
0.026947766542434692,
0.04409617930650711,
-0.008483109064400196,
0.026773473247885704,
-0.008936531841754913,
-0.022236963734030724,
0.027837563306093216,
0.05839681997895241,
-0.05477853864431381,
0.04778052121400833,
-0.04530833289027214,
0.0656690001487732,
0.03151334449648857,
0.014933374710381031,
-0.044483862817287445,
-0.030189311131834984,
0.05067336931824684,
-0.04715830087661743,
0.06110333651304245,
-0.03127191588282585,
-0.030253635719418526,
0.07479944080114365,
-0.00142530701123178,
-0.055699288845062256,
0.02416411228477955,
0.03913542255759239,
0.05818575248122215,
-0.009855235926806927,
-0.0159496758133173,
-0.01509530283510685,
-0.007964586839079857,
-0.02486634999513626,
-0.032061949372291565,
0.07220473885536194,
-0.021857401356101036,
0.010950621217489243,
0.041773468255996704,
0.0624895915389061,
0.06657610088586807,
0.0009734496125020087,
-0.028632281348109245,
0.042971137911081314,
0.07145091146230698,
0.015155760571360588,
1.6566187932784505e-34,
0.009608613327145576,
0.022057265043258667,
-0.0059312270022928715,
0.02278275229036808,
0.05486227571964264,
-0.05801669880747795,
-0.02818889729678631,
0.09513583779335022,
0.06232921779155731,
0.012265755794942379,
0.05702517554163933,
0.07263560593128204,
-0.0191291905939579,
0.05358779802918434,
0.1147041842341423,
0.023142356425523758,
-0.043935034424066544,
0.05053313449025154,
0.015761274844408035,
-0.04949420690536499,
-0.07956095039844513,
-0.12366120517253876,
0.010343430563807487,
0.015381861478090286,
0.05919906124472618,
0.06337767094373703,
0.053925223648548126,
0.12799982726573944,
0.06318773329257965,
-0.016122320666909218,
-0.024590598419308662,
-0.0439717061817646,
-0.007466653361916542,
0.0199605580419302,
-0.028256630524992943,
-0.03594785928726196,
-0.036072392016649246,
-0.03373736888170242,
-0.001446853973902762,
-0.0498884879052639,
-0.05130063369870186,
-0.03757527098059654,
-0.041515983641147614,
0.031652841717004776,
-0.04007008299231529,
-0.05064037814736366,
-0.016783948987722397,
0.05319777876138687,
-0.02791912481188774,
0.026160828769207,
-0.010939582251012325,
0.002969850553199649,
0.01653730310499668,
-0.009204218164086342,
-0.11373988538980484,
-0.057096295058727264,
0.03341340273618698,
0.002326913410797715,
0.08685628324747086,
0.0004457521135918796,
-0.00814263429492712,
0.05303332954645157,
0.03790504112839699,
-0.005234477110207081,
-0.0024553805124014616,
-0.019361456856131554,
0.0713157057762146,
0.09320808947086334,
-0.02719488926231861,
0.050347115844488144,
0.003563190344721079,
0.03697045519948006,
0.028987852856516838,
-0.004107165616005659,
0.054157063364982605,
0.049913227558135986,
-0.00975284818559885,
-0.058429423719644547,
-0.06657608598470688,
-0.11974705755710602,
0.09128664433956146,
-0.11230174452066422,
0.07002943009138107,
0.055715952068567276,
-0.06938856840133667,
-0.05211717262864113,
-0.056646835058927536,
-0.059045664966106415,
-0.042993348091840744,
0.029572652652859688,
-0.014593301340937614,
0.05039376765489578,
0.02858525887131691,
0.038491781800985336,
0.011997702531516552,
-1.397820395797981e-34,
0.02794138714671135,
-0.060409169644117355,
0.004854642320424318,
0.02571822702884674,
0.04563348367810249,
-0.10266576707363129,
-0.06861668825149536,
0.04483555629849434,
0.0011329420376569033,
-0.02746664732694626,
-0.0564904622733593,
-0.047785453498363495,
0.07355713844299316,
-0.04456111043691635,
0.06175597384572029,
0.11450712382793427,
-0.09294725954532623,
0.0077384053729474545,
-0.030791016295552254,
-0.004162523429840803,
-0.011837674304842949,
0.058939456939697266,
-0.04286082088947296,
-0.02932627685368061,
-0.1543753296136856,
0.06344540417194366,
0.04141482710838318,
0.014121460728347301,
0.019300615414977074,
-0.0691353976726532,
-0.03678715601563454,
-0.0603376068174839,
0.06570059061050415,
-0.05154541879892349,
0.005855895113199949,
0.009668277576565742,
0.047704607248306274,
-0.0021952895913273096,
-0.00566841010004282,
0.0427997000515461,
0.09129557758569717,
0.022056596353650093,
-0.09628788381814957,
0.0179612897336483,
-0.017524929717183113,
0.050729118287563324,
-0.09263601154088974,
0.05202271416783333,
0.018926233053207397,
0.017180893570184708,
-0.022710029035806656,
0.028230011463165283,
-0.07278446853160858,
-0.021961666643619537,
-0.010599247179925442,
0.05001771077513695,
0.006778405513614416,
-0.0075026811100542545,
0.0468059666454792,
0.016773343086242676,
-0.03393436595797539,
-0.03593099117279053,
0.0389258973300457,
-0.0008164449245668948,
0.019993828609585762,
-0.05778999626636505,
0.07613182812929153,
0.011399198323488235,
-0.039714932441711426,
0.007225698791444302,
0.10208424180746078,
0.011544434353709221,
-0.003045697696506977,
-0.032362207770347595,
-0.00020517299708444625,
-0.002851189346984029,
0.09872610121965408,
-0.09987534582614899,
-0.031056981533765793,
-0.010486369021236897,
-0.0005933085922151804,
-0.00641039339825511,
0.02582622319459915,
0.0048081232234835625,
0.03708164393901825,
0.030581582337617874,
-0.022866733372211456,
0.009113152511417866,
0.02106129564344883,
0.0536726750433445,
-0.07063080370426178,
0.09043676406145096,
-0.0844198688864708,
0.033455993980169296,
-0.03145948424935341,
-4.260724040250352e-8,
-0.0019684911239892244,
-0.0003739639651030302,
-0.005143845919519663,
0.042467910796403885,
0.027645952999591827,
0.024901222437620163,
-0.002792333485558629,
0.07918069511651993,
0.0008835168555378914,
-0.013591278344392776,
0.04203924909234047,
-0.027547450736165047,
-0.04392183944582939,
-0.03498905152082443,
0.06529565155506134,
0.002886739792302251,
-0.0024604748468846083,
-0.02328760363161564,
-0.05828869715332985,
0.031693264842033386,
0.07350900769233704,
0.006163063459098339,
0.10822132229804993,
-0.01957372948527336,
0.0012428174959495664,
0.004380987491458654,
0.0334891714155674,
0.09770485758781433,
0.09537391364574432,
-0.009940467774868011,
-0.026400340721011162,
0.005422048270702362,
0.0777955874800682,
-0.019160112366080284,
-0.027552122250199318,
0.001837130170315504,
-0.04014543071389198,
-0.10163500905036926,
-0.04389292374253273,
-0.04558292031288147,
0.046752531081438065,
-0.08985021710395813,
-0.13725914061069489,
-0.007723696529865265,
-0.01603810489177704,
-0.04263880476355553,
0.0036139911971986294,
-0.03741711750626564,
0.024680014699697495,
0.10495304316282272,
-0.06883169710636139,
-0.11089017242193222,
0.05972817912697792,
0.0354880653321743,
0.00014792612637393177,
0.028519432991743088,
-0.017786215990781784,
-0.05558643490076065,
0.123090460896492,
0.08449523150920868,
0.10089810937643051,
0.00009385170415043831,
-0.06189734488725662,
0.06954693049192429
] | null | null | null | null | null | null | null | [
-0.07081535458564758,
0.006472322158515453,
-0.013713639229536057,
0.04787583649158478,
0.07031772285699844,
-0.009047453291714191,
0.04840865731239319,
-0.031034162268042564,
-0.03760064020752907,
-0.059485845267772675,
-0.04592961445450783,
-0.00996123906224966,
0.03704189509153366,
0.01861988566815853,
0.0008400057558901608,
-0.03025515004992485,
0.10946687310934067,
-0.05827012658119202,
-0.02651781402528286,
-0.01665627583861351,
-0.035138219594955444,
-0.020124420523643494,
0.05822509527206421,
-0.04702391475439072,
-0.056747741997241974,
0.05947209522128105,
-0.014569064602255821,
-0.09378869831562042,
-0.03471267223358154,
0.032945550978183746,
0.09432809054851532,
-0.007089879829436541,
-0.022320931777358055,
0.023480821400880814,
-0.06327614933252335,
-0.11204568296670914,
0.06456122547388077,
-0.020833278074860573,
-0.05740005895495415,
-0.09553205221891403,
-0.028792982921004295,
-0.004136749543249607,
-0.026229487732052803,
0.05985650420188904,
0.02701294608414173,
0.002940418431535363,
-0.007827719673514366,
-0.04059041664004326,
0.015778712928295135,
0.013985484838485718,
-0.06872248649597168,
-0.0007328587817028165,
0.06541873514652252,
0.022515343502163887,
-0.012056900188326836,
0.046714115887880325,
0.028412964195013046,
-0.051214635372161865,
0.01573573239147663,
0.07671777158975601,
0.05689959600567818,
-0.06241682171821594,
0.04777344688773155,
-0.0014742555795237422,
-0.03333677351474762,
0.02997587062418461,
0.007002019323408604,
0.01755770482122898,
0.028516976162791252,
-0.05291321873664856,
-0.08615346997976303,
0.07535851746797562,
-0.002674499759450555,
0.021361783146858215,
0.05411337688565254,
-0.060754816979169846,
-0.05940166115760803,
-0.14706741273403168,
-0.023247016593813896,
-0.06657044589519501,
-0.04755600169301033,
-0.09340573847293854,
-0.07351475954055786,
0.026947766542434692,
0.04409617930650711,
-0.008483109064400196,
0.026773473247885704,
-0.008936531841754913,
-0.022236963734030724,
0.027837563306093216,
0.05839681997895241,
-0.05477853864431381,
0.04778052121400833,
-0.04530833289027214,
0.0656690001487732,
0.03151334449648857,
0.014933374710381031,
-0.044483862817287445,
-0.030189311131834984,
0.05067336931824684,
-0.04715830087661743,
0.06110333651304245,
-0.03127191588282585,
-0.030253635719418526,
0.07479944080114365,
-0.00142530701123178,
-0.055699288845062256,
0.02416411228477955,
0.03913542255759239,
0.05818575248122215,
-0.009855235926806927,
-0.0159496758133173,
-0.01509530283510685,
-0.007964586839079857,
-0.02486634999513626,
-0.032061949372291565,
0.07220473885536194,
-0.021857401356101036,
0.010950621217489243,
0.041773468255996704,
0.0624895915389061,
0.06657610088586807,
0.0009734496125020087,
-0.028632281348109245,
0.042971137911081314,
0.07145091146230698,
0.015155760571360588,
1.6566187932784505e-34,
0.009608613327145576,
0.022057265043258667,
-0.0059312270022928715,
0.02278275229036808,
0.05486227571964264,
-0.05801669880747795,
-0.02818889729678631,
0.09513583779335022,
0.06232921779155731,
0.012265755794942379,
0.05702517554163933,
0.07263560593128204,
-0.0191291905939579,
0.05358779802918434,
0.1147041842341423,
0.023142356425523758,
-0.043935034424066544,
0.05053313449025154,
0.015761274844408035,
-0.04949420690536499,
-0.07956095039844513,
-0.12366120517253876,
0.010343430563807487,
0.015381861478090286,
0.05919906124472618,
0.06337767094373703,
0.053925223648548126,
0.12799982726573944,
0.06318773329257965,
-0.016122320666909218,
-0.024590598419308662,
-0.0439717061817646,
-0.007466653361916542,
0.0199605580419302,
-0.028256630524992943,
-0.03594785928726196,
-0.036072392016649246,
-0.03373736888170242,
-0.001446853973902762,
-0.0498884879052639,
-0.05130063369870186,
-0.03757527098059654,
-0.041515983641147614,
0.031652841717004776,
-0.04007008299231529,
-0.05064037814736366,
-0.016783948987722397,
0.05319777876138687,
-0.02791912481188774,
0.026160828769207,
-0.010939582251012325,
0.002969850553199649,
0.01653730310499668,
-0.009204218164086342,
-0.11373988538980484,
-0.057096295058727264,
0.03341340273618698,
0.002326913410797715,
0.08685628324747086,
0.0004457521135918796,
-0.00814263429492712,
0.05303332954645157,
0.03790504112839699,
-0.005234477110207081,
-0.0024553805124014616,
-0.019361456856131554,
0.0713157057762146,
0.09320808947086334,
-0.02719488926231861,
0.050347115844488144,
0.003563190344721079,
0.03697045519948006,
0.028987852856516838,
-0.004107165616005659,
0.054157063364982605,
0.049913227558135986,
-0.00975284818559885,
-0.058429423719644547,
-0.06657608598470688,
-0.11974705755710602,
0.09128664433956146,
-0.11230174452066422,
0.07002943009138107,
0.055715952068567276,
-0.06938856840133667,
-0.05211717262864113,
-0.056646835058927536,
-0.059045664966106415,
-0.042993348091840744,
0.029572652652859688,
-0.014593301340937614,
0.05039376765489578,
0.02858525887131691,
0.038491781800985336,
0.011997702531516552,
-1.397820395797981e-34,
0.02794138714671135,
-0.060409169644117355,
0.004854642320424318,
0.02571822702884674,
0.04563348367810249,
-0.10266576707363129,
-0.06861668825149536,
0.04483555629849434,
0.0011329420376569033,
-0.02746664732694626,
-0.0564904622733593,
-0.047785453498363495,
0.07355713844299316,
-0.04456111043691635,
0.06175597384572029,
0.11450712382793427,
-0.09294725954532623,
0.0077384053729474545,
-0.030791016295552254,
-0.004162523429840803,
-0.011837674304842949,
0.058939456939697266,
-0.04286082088947296,
-0.02932627685368061,
-0.1543753296136856,
0.06344540417194366,
0.04141482710838318,
0.014121460728347301,
0.019300615414977074,
-0.0691353976726532,
-0.03678715601563454,
-0.0603376068174839,
0.06570059061050415,
-0.05154541879892349,
0.005855895113199949,
0.009668277576565742,
0.047704607248306274,
-0.0021952895913273096,
-0.00566841010004282,
0.0427997000515461,
0.09129557758569717,
0.022056596353650093,
-0.09628788381814957,
0.0179612897336483,
-0.017524929717183113,
0.050729118287563324,
-0.09263601154088974,
0.05202271416783333,
0.018926233053207397,
0.017180893570184708,
-0.022710029035806656,
0.028230011463165283,
-0.07278446853160858,
-0.021961666643619537,
-0.010599247179925442,
0.05001771077513695,
0.006778405513614416,
-0.0075026811100542545,
0.0468059666454792,
0.016773343086242676,
-0.03393436595797539,
-0.03593099117279053,
0.0389258973300457,
-0.0008164449245668948,
0.019993828609585762,
-0.05778999626636505,
0.07613182812929153,
0.011399198323488235,
-0.039714932441711426,
0.007225698791444302,
0.10208424180746078,
0.011544434353709221,
-0.003045697696506977,
-0.032362207770347595,
-0.00020517299708444625,
-0.002851189346984029,
0.09872610121965408,
-0.09987534582614899,
-0.031056981533765793,
-0.010486369021236897,
-0.0005933085922151804,
-0.00641039339825511,
0.02582622319459915,
0.0048081232234835625,
0.03708164393901825,
0.030581582337617874,
-0.022866733372211456,
0.009113152511417866,
0.02106129564344883,
0.0536726750433445,
-0.07063080370426178,
0.09043676406145096,
-0.0844198688864708,
0.033455993980169296,
-0.03145948424935341,
-4.260724040250352e-8,
-0.0019684911239892244,
-0.0003739639651030302,
-0.005143845919519663,
0.042467910796403885,
0.027645952999591827,
0.024901222437620163,
-0.002792333485558629,
0.07918069511651993,
0.0008835168555378914,
-0.013591278344392776,
0.04203924909234047,
-0.027547450736165047,
-0.04392183944582939,
-0.03498905152082443,
0.06529565155506134,
0.002886739792302251,
-0.0024604748468846083,
-0.02328760363161564,
-0.05828869715332985,
0.031693264842033386,
0.07350900769233704,
0.006163063459098339,
0.10822132229804993,
-0.01957372948527336,
0.0012428174959495664,
0.004380987491458654,
0.0334891714155674,
0.09770485758781433,
0.09537391364574432,
-0.009940467774868011,
-0.026400340721011162,
0.005422048270702362,
0.0777955874800682,
-0.019160112366080284,
-0.027552122250199318,
0.001837130170315504,
-0.04014543071389198,
-0.10163500905036926,
-0.04389292374253273,
-0.04558292031288147,
0.046752531081438065,
-0.08985021710395813,
-0.13725914061069489,
-0.007723696529865265,
-0.01603810489177704,
-0.04263880476355553,
0.0036139911971986294,
-0.03741711750626564,
0.024680014699697495,
0.10495304316282272,
-0.06883169710636139,
-0.11089017242193222,
0.05972817912697792,
0.0354880653321743,
0.00014792612637393177,
0.028519432991743088,
-0.017786215990781784,
-0.05558643490076065,
0.123090460896492,
0.08449523150920868,
0.10089810937643051,
0.00009385170415043831,
-0.06189734488725662,
0.06954693049192429
] |
1401.0587 | Stephen Pankavich | Stephen Pankavich and Peter Ortoleva | Nanosystem Self-Assembly Pathways Discovered via All-Atom Multiscale
Analysis | 3 figures | J. Phys. Chem. B. 116 (2012) 8355-8362 | null | null | physics.bio-ph q-bio.BM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the self-assembly of composite structures from a group of
nanocomponents, each consisting of particles within an $N$-atom system.
Self-assembly pathways and rates for nanocomposites are derived via a
multiscale analysis of the classical Liouville equation. From a reduced
statistical framework, rigorous stochastic equations for population levels of
beginning, intermediate, and final aggregates are also derived. It is shown
that the definition of an assembly type is a self-consistency criterion that
must strike a balance between precision and the need for population levels to
be slowly varying relative to the time scale of atomic motion. The deductive
multiscale approach is complemented by a qualitative notion of multicomponent
association and the ensemble of exact atomic-level configurations consistent
with them. In processes such as viral self-assembly from proteins and RNA or
DNA, there are many possible intermediates, so that it is usually difficult to
predict the most efficient assembly pathway. However, in the current study,
rates of assembly of each possible intermediate can be predicted. This avoids
the need, as in a phenomenological approach, for recalibration with each new
application. The method accounts for the feedback across scales in space and
time that is fundamental to nanosystem self-assembly. The theory has
applications to bionanostructures, geomaterials, engineered composites, and
nanocapsule therapeutic delivery systems.
| [
{
"created": "Fri, 3 Jan 2014 05:23:54 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Pankavich",
"Stephen",
""
],
[
"Ortoleva",
"Peter",
""
]
] | [
0.025209829211235046,
-0.1589450091123581,
0.003639751113951206,
0.039633627980947495,
0.023210151121020317,
-0.00539204990491271,
-0.012119230814278126,
0.024017315357923508,
0.05789652094244957,
0.0021014867816120386,
0.06984036415815353,
-0.03831140697002411,
-0.03458338975906372,
0.03861553966999054,
-0.020759914070367813,
-0.028445016592741013,
-0.07641864567995071,
0.03507384657859802,
-0.06373482942581177,
0.06634149700403214,
-0.023868689313530922,
-0.004794004373252392,
0.029427003115415573,
0.0023443277459591627,
-0.012867279350757599,
-0.000019119033822789788,
-0.026201296597719193,
0.046268872916698456,
0.05060705915093422,
-0.03334210813045502,
0.10355750471353531,
0.09548098593950272,
0.012147092260420322,
-0.026522740721702576,
0.06533025205135345,
0.025836406275629997,
-0.04507679492235184,
0.0010686494642868638,
-0.055404577404260635,
-0.010294796898961067,
0.08311854302883148,
0.07212035357952118,
-0.032405804842710495,
0.002659416291862726,
0.04204104095697403,
0.012240995652973652,
0.002606440568342805,
-0.025074288249015808,
-0.02608967199921608,
-0.04419572278857231,
0.007580030243843794,
0.04719031974673271,
-0.08222167938947678,
0.020460471510887146,
0.0035852203145623207,
0.07541462779045105,
0.05564999580383301,
-0.04977281019091606,
0.02916344255208969,
-0.052931465208530426,
0.04016383737325668,
0.0009264895343221724,
-0.04473324492573738,
-0.02005849964916706,
0.10921257734298706,
0.0592871755361557,
0.05364641919732094,
-0.003922899253666401,
0.017416197806596756,
0.13107919692993164,
-0.02096223458647728,
-0.026401469483971596,
-0.043778177350759506,
0.07712052762508392,
0.08945282548666,
0.012608800083398819,
0.03979439660906792,
0.044362518936395645,
-0.024459095671772957,
0.010818655602633953,
-0.03548133745789528,
0.024868015199899673,
0.07517937570810318,
-0.040085770189762115,
-0.014868490397930145,
0.017571020871400833,
0.021720582619309425,
0.03758340701460838,
0.07233375310897827,
-0.027020707726478577,
-0.08136439323425293,
0.06194064021110535,
-0.027416501194238663,
-0.03873461112380028,
0.03538134694099426,
0.042932089418172836,
0.11765532195568085,
-0.03529570624232292,
0.16253110766410828,
0.013320214115083218,
0.05681890994310379,
-0.050735604017972946,
0.09533174335956573,
0.010642130859196186,
-0.018222086131572723,
-0.050603967159986496,
0.008018570020794868,
0.027810782194137573,
-0.002615980338305235,
0.07479006797075272,
0.03652729466557503,
-0.019655633717775345,
0.013578352518379688,
0.07344630360603333,
0.024860292673110962,
-0.015117439441382885,
0.05119211599230766,
-0.02316422574222088,
0.03209337964653969,
-0.02131185494363308,
0.0077384770847857,
-0.02824436128139496,
-0.00020903057884424925,
-0.012733540497720242,
-0.00853322446346283,
0.027514448389410973,
-0.016854552552103996,
-9.37506611455188e-34,
0.030581798404455185,
0.015315165743231773,
0.060743968933820724,
0.00979722011834383,
0.022662213072180748,
-0.0750509724020958,
-0.009830435737967491,
-0.008245844393968582,
-0.03547748923301697,
0.027840469032526016,
-0.007269367575645447,
0.024609511718153954,
-0.01752820424735546,
0.0374525710940361,
-0.016828814521431923,
-0.0409645140171051,
0.007092626299709082,
0.0938483327627182,
0.028513580560684204,
-0.013022693805396557,
0.02599598839879036,
-0.018791940063238144,
-0.033422600477933884,
-0.01788700371980667,
0.027439448982477188,
-0.009767796844244003,
0.01936034858226776,
-0.02249361015856266,
-0.08808537572622299,
-0.03702118620276451,
-0.0407952256500721,
0.02537771314382553,
-0.07707788795232773,
0.02628483809530735,
0.11986091732978821,
-0.06259281188249588,
-0.05014336481690407,
-0.030596895143389702,
-0.01820036582648754,
-0.09644701331853867,
0.03191530704498291,
0.0013858957681804895,
-0.005943500902503729,
-0.023354720324277878,
-0.01495735440403223,
-0.04856681823730469,
0.021356841549277306,
0.011177625507116318,
-0.12824180722236633,
-0.015076094307005405,
-0.012461059726774693,
0.03373271971940994,
0.07063329219818115,
-0.07310514152050018,
-0.025601504370570183,
0.062099698930978775,
-0.03704739734530449,
-0.04511135816574097,
-0.007719334214925766,
0.018276935443282127,
-0.026203865185379982,
0.0303867869079113,
-0.05589520186185837,
0.05838000774383545,
0.07923198491334915,
0.05195453390479088,
-0.03893314301967621,
0.055106271058321,
0.11856275051832199,
0.00749177997931838,
0.029824387282133102,
-0.001782638137228787,
0.00336406659334898,
-0.08808870613574982,
0.023506004363298416,
0.006282717455178499,
0.007479718886315823,
-0.09637937694787979,
-0.016753215342760086,
0.032692503184080124,
-0.01772359572350979,
0.022157881408929825,
-0.08547765761613846,
-0.08345199376344681,
-0.07064083218574524,
-0.048323262482881546,
0.010513707995414734,
-0.05674289911985397,
-0.07894087582826614,
-0.0475521981716156,
0.005176907870918512,
-0.11603323370218277,
0.08465980738401413,
-0.052577029913663864,
-0.0631074607372284,
-2.4068520502864888e-33,
0.011194697581231594,
-0.06769456714391708,
0.02921670489013195,
0.03069692850112915,
0.03348053991794586,
-0.0633646622300148,
-0.06827078014612198,
-0.030944621190428734,
0.03866420313715935,
-0.024555863812565804,
-0.04942161217331886,
0.020267833024263382,
0.029873354360461235,
-0.07762008160352707,
-0.03574691712856293,
0.0855155885219574,
-0.008492955006659031,
0.019910873845219612,
0.12357238680124283,
-0.04867609217762947,
-0.0006960908067412674,
-0.0250091589987278,
0.05571671202778816,
-0.02298651821911335,
-0.01810544729232788,
-0.06666648387908936,
-0.004587236326187849,
0.005598473362624645,
-0.0010028049582615495,
-0.02580614946782589,
-0.03680666536092758,
-0.046998802572488785,
0.03030327521264553,
0.08037256449460983,
-0.045458946377038956,
0.03524666279554367,
-0.013646808452904224,
0.025126885622739792,
0.09515469521284103,
-0.04436167702078819,
-0.016823159530758858,
0.004676444455981255,
-0.053636740893125534,
-0.028271682560443878,
0.09428002685308456,
-0.05129731073975563,
-0.06147352233529091,
0.070561982691288,
0.02298145927488804,
0.016892647370696068,
-0.09258630126714706,
0.0693431869149208,
-0.026876522228121758,
-0.00987356435507536,
-0.07843324542045593,
0.08195066452026367,
0.023699885234236717,
-0.06640011817216873,
0.03590959683060646,
-0.05697394907474518,
-0.05356507748365402,
-0.09025900810956955,
0.05842393636703491,
0.034396011382341385,
0.0029019212815910578,
-0.07440583407878876,
-0.04383781552314758,
-0.032464586198329926,
-0.040771789848804474,
-0.07468737661838531,
0.017946796491742134,
-0.00493525480851531,
0.08946426957845688,
-0.0036905412562191486,
-0.014005978591740131,
-0.12315486371517181,
0.11706759035587311,
-0.05161096155643463,
-0.015102141536772251,
-0.07927122712135315,
-0.06667327135801315,
0.059202469885349274,
-0.002661604667082429,
-0.0005240249447524548,
-0.06692419201135635,
-0.05687085539102554,
0.05239257588982582,
0.04085271432995796,
0.012613128870725632,
-0.024588722735643387,
0.02556743286550045,
-0.05463605374097824,
0.05946771055459976,
0.014917000196874142,
-0.011847508139908314,
-5.238819511532711e-8,
0.08018670976161957,
0.013058465905487537,
0.006972855888307095,
-0.03377046808600426,
0.07425563782453537,
0.11114127933979034,
-0.021917302161455154,
0.023216841742396355,
0.05082231014966965,
0.03506134822964668,
0.11421924084424973,
-0.04318590462207794,
-0.07497412711381912,
-0.0022343876771628857,
-0.010921873152256012,
0.05926688387989998,
-0.07156728208065033,
-0.015000863000750542,
-0.07387615740299225,
-0.04093081131577492,
-0.0032681559678167105,
0.03970867767930031,
-0.05309782177209854,
0.03203398734331131,
-0.025743678212165833,
0.00003661562368506566,
-0.08716709166765213,
-0.03766961023211479,
-0.029513437300920486,
-0.030547279864549637,
-0.05570657551288605,
0.03937995806336403,
0.02408399060368538,
0.060659293085336685,
-0.006210575811564922,
-0.03248697146773338,
0.05338016897439957,
0.02558830752968788,
-0.038139693439006805,
-0.09390720725059509,
0.031058819964528084,
0.05607045814394951,
-0.04323865845799446,
0.00972472969442606,
0.057597335427999496,
0.035001084208488464,
-0.1166921854019165,
0.067292720079422,
0.06564031541347504,
0.091886967420578,
-0.018560564145445824,
0.020730337128043175,
-0.08314822614192963,
-0.010086165741086006,
-0.0033903515432029963,
0.060033705085515976,
-0.09407565742731094,
-0.03559894859790802,
0.09240353107452393,
0.03421056270599365,
0.0018208656692877412,
0.01241280511021614,
-0.01689482107758522,
-0.06542789936065674
] | null | null | null | null | null | null | null | [
0.025209829211235046,
-0.1589450091123581,
0.003639751113951206,
0.039633627980947495,
0.023210151121020317,
-0.00539204990491271,
-0.012119230814278126,
0.024017315357923508,
0.05789652094244957,
0.0021014867816120386,
0.06984036415815353,
-0.03831140697002411,
-0.03458338975906372,
0.03861553966999054,
-0.020759914070367813,
-0.028445016592741013,
-0.07641864567995071,
0.03507384657859802,
-0.06373482942581177,
0.06634149700403214,
-0.023868689313530922,
-0.004794004373252392,
0.029427003115415573,
0.0023443277459591627,
-0.012867279350757599,
-0.000019119033822789788,
-0.026201296597719193,
0.046268872916698456,
0.05060705915093422,
-0.03334210813045502,
0.10355750471353531,
0.09548098593950272,
0.012147092260420322,
-0.026522740721702576,
0.06533025205135345,
0.025836406275629997,
-0.04507679492235184,
0.0010686494642868638,
-0.055404577404260635,
-0.010294796898961067,
0.08311854302883148,
0.07212035357952118,
-0.032405804842710495,
0.002659416291862726,
0.04204104095697403,
0.012240995652973652,
0.002606440568342805,
-0.025074288249015808,
-0.02608967199921608,
-0.04419572278857231,
0.007580030243843794,
0.04719031974673271,
-0.08222167938947678,
0.020460471510887146,
0.0035852203145623207,
0.07541462779045105,
0.05564999580383301,
-0.04977281019091606,
0.02916344255208969,
-0.052931465208530426,
0.04016383737325668,
0.0009264895343221724,
-0.04473324492573738,
-0.02005849964916706,
0.10921257734298706,
0.0592871755361557,
0.05364641919732094,
-0.003922899253666401,
0.017416197806596756,
0.13107919692993164,
-0.02096223458647728,
-0.026401469483971596,
-0.043778177350759506,
0.07712052762508392,
0.08945282548666,
0.012608800083398819,
0.03979439660906792,
0.044362518936395645,
-0.024459095671772957,
0.010818655602633953,
-0.03548133745789528,
0.024868015199899673,
0.07517937570810318,
-0.040085770189762115,
-0.014868490397930145,
0.017571020871400833,
0.021720582619309425,
0.03758340701460838,
0.07233375310897827,
-0.027020707726478577,
-0.08136439323425293,
0.06194064021110535,
-0.027416501194238663,
-0.03873461112380028,
0.03538134694099426,
0.042932089418172836,
0.11765532195568085,
-0.03529570624232292,
0.16253110766410828,
0.013320214115083218,
0.05681890994310379,
-0.050735604017972946,
0.09533174335956573,
0.010642130859196186,
-0.018222086131572723,
-0.050603967159986496,
0.008018570020794868,
0.027810782194137573,
-0.002615980338305235,
0.07479006797075272,
0.03652729466557503,
-0.019655633717775345,
0.013578352518379688,
0.07344630360603333,
0.024860292673110962,
-0.015117439441382885,
0.05119211599230766,
-0.02316422574222088,
0.03209337964653969,
-0.02131185494363308,
0.0077384770847857,
-0.02824436128139496,
-0.00020903057884424925,
-0.012733540497720242,
-0.00853322446346283,
0.027514448389410973,
-0.016854552552103996,
-9.37506611455188e-34,
0.030581798404455185,
0.015315165743231773,
0.060743968933820724,
0.00979722011834383,
0.022662213072180748,
-0.0750509724020958,
-0.009830435737967491,
-0.008245844393968582,
-0.03547748923301697,
0.027840469032526016,
-0.007269367575645447,
0.024609511718153954,
-0.01752820424735546,
0.0374525710940361,
-0.016828814521431923,
-0.0409645140171051,
0.007092626299709082,
0.0938483327627182,
0.028513580560684204,
-0.013022693805396557,
0.02599598839879036,
-0.018791940063238144,
-0.033422600477933884,
-0.01788700371980667,
0.027439448982477188,
-0.009767796844244003,
0.01936034858226776,
-0.02249361015856266,
-0.08808537572622299,
-0.03702118620276451,
-0.0407952256500721,
0.02537771314382553,
-0.07707788795232773,
0.02628483809530735,
0.11986091732978821,
-0.06259281188249588,
-0.05014336481690407,
-0.030596895143389702,
-0.01820036582648754,
-0.09644701331853867,
0.03191530704498291,
0.0013858957681804895,
-0.005943500902503729,
-0.023354720324277878,
-0.01495735440403223,
-0.04856681823730469,
0.021356841549277306,
0.011177625507116318,
-0.12824180722236633,
-0.015076094307005405,
-0.012461059726774693,
0.03373271971940994,
0.07063329219818115,
-0.07310514152050018,
-0.025601504370570183,
0.062099698930978775,
-0.03704739734530449,
-0.04511135816574097,
-0.007719334214925766,
0.018276935443282127,
-0.026203865185379982,
0.0303867869079113,
-0.05589520186185837,
0.05838000774383545,
0.07923198491334915,
0.05195453390479088,
-0.03893314301967621,
0.055106271058321,
0.11856275051832199,
0.00749177997931838,
0.029824387282133102,
-0.001782638137228787,
0.00336406659334898,
-0.08808870613574982,
0.023506004363298416,
0.006282717455178499,
0.007479718886315823,
-0.09637937694787979,
-0.016753215342760086,
0.032692503184080124,
-0.01772359572350979,
0.022157881408929825,
-0.08547765761613846,
-0.08345199376344681,
-0.07064083218574524,
-0.048323262482881546,
0.010513707995414734,
-0.05674289911985397,
-0.07894087582826614,
-0.0475521981716156,
0.005176907870918512,
-0.11603323370218277,
0.08465980738401413,
-0.052577029913663864,
-0.0631074607372284,
-2.4068520502864888e-33,
0.011194697581231594,
-0.06769456714391708,
0.02921670489013195,
0.03069692850112915,
0.03348053991794586,
-0.0633646622300148,
-0.06827078014612198,
-0.030944621190428734,
0.03866420313715935,
-0.024555863812565804,
-0.04942161217331886,
0.020267833024263382,
0.029873354360461235,
-0.07762008160352707,
-0.03574691712856293,
0.0855155885219574,
-0.008492955006659031,
0.019910873845219612,
0.12357238680124283,
-0.04867609217762947,
-0.0006960908067412674,
-0.0250091589987278,
0.05571671202778816,
-0.02298651821911335,
-0.01810544729232788,
-0.06666648387908936,
-0.004587236326187849,
0.005598473362624645,
-0.0010028049582615495,
-0.02580614946782589,
-0.03680666536092758,
-0.046998802572488785,
0.03030327521264553,
0.08037256449460983,
-0.045458946377038956,
0.03524666279554367,
-0.013646808452904224,
0.025126885622739792,
0.09515469521284103,
-0.04436167702078819,
-0.016823159530758858,
0.004676444455981255,
-0.053636740893125534,
-0.028271682560443878,
0.09428002685308456,
-0.05129731073975563,
-0.06147352233529091,
0.070561982691288,
0.02298145927488804,
0.016892647370696068,
-0.09258630126714706,
0.0693431869149208,
-0.026876522228121758,
-0.00987356435507536,
-0.07843324542045593,
0.08195066452026367,
0.023699885234236717,
-0.06640011817216873,
0.03590959683060646,
-0.05697394907474518,
-0.05356507748365402,
-0.09025900810956955,
0.05842393636703491,
0.034396011382341385,
0.0029019212815910578,
-0.07440583407878876,
-0.04383781552314758,
-0.032464586198329926,
-0.040771789848804474,
-0.07468737661838531,
0.017946796491742134,
-0.00493525480851531,
0.08946426957845688,
-0.0036905412562191486,
-0.014005978591740131,
-0.12315486371517181,
0.11706759035587311,
-0.05161096155643463,
-0.015102141536772251,
-0.07927122712135315,
-0.06667327135801315,
0.059202469885349274,
-0.002661604667082429,
-0.0005240249447524548,
-0.06692419201135635,
-0.05687085539102554,
0.05239257588982582,
0.04085271432995796,
0.012613128870725632,
-0.024588722735643387,
0.02556743286550045,
-0.05463605374097824,
0.05946771055459976,
0.014917000196874142,
-0.011847508139908314,
-5.238819511532711e-8,
0.08018670976161957,
0.013058465905487537,
0.006972855888307095,
-0.03377046808600426,
0.07425563782453537,
0.11114127933979034,
-0.021917302161455154,
0.023216841742396355,
0.05082231014966965,
0.03506134822964668,
0.11421924084424973,
-0.04318590462207794,
-0.07497412711381912,
-0.0022343876771628857,
-0.010921873152256012,
0.05926688387989998,
-0.07156728208065033,
-0.015000863000750542,
-0.07387615740299225,
-0.04093081131577492,
-0.0032681559678167105,
0.03970867767930031,
-0.05309782177209854,
0.03203398734331131,
-0.025743678212165833,
0.00003661562368506566,
-0.08716709166765213,
-0.03766961023211479,
-0.029513437300920486,
-0.030547279864549637,
-0.05570657551288605,
0.03937995806336403,
0.02408399060368538,
0.060659293085336685,
-0.006210575811564922,
-0.03248697146773338,
0.05338016897439957,
0.02558830752968788,
-0.038139693439006805,
-0.09390720725059509,
0.031058819964528084,
0.05607045814394951,
-0.04323865845799446,
0.00972472969442606,
0.057597335427999496,
0.035001084208488464,
-0.1166921854019165,
0.067292720079422,
0.06564031541347504,
0.091886967420578,
-0.018560564145445824,
0.020730337128043175,
-0.08314822614192963,
-0.010086165741086006,
-0.0033903515432029963,
0.060033705085515976,
-0.09407565742731094,
-0.03559894859790802,
0.09240353107452393,
0.03421056270599365,
0.0018208656692877412,
0.01241280511021614,
-0.01689482107758522,
-0.06542789936065674
] |
1401.0591 | Puneet Kumar | Puneet Kumar, Dharminder Kumar, Narendra Kumar | ICT in Local Self Governance: A Study of Rural India | 6 pages, 4 figures, Published with International Journal of Computer
Applications (IJCA) | International Journal of Computer Applications 83(6):31-36,
December 2013. Published by Foundation of Computer Science, New York, USA | 10.5120/14453-2714 | null | cs.CY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of local self-governance is not new as it has its roots in
ancient time even before the era of Mauryan emperors. This paper depicts the
journey of local self-governance from antediluvian time to 21st century.
Further, in the current scenario Information and Communication Technology (ICT)
has emerged as a successful tool for dissemination of various e-governance
services and in this regard the Government of India has formulated NeGP with
adequate service delivery mechanism. With the inculcation of ICT, various
applications were designed by central as well as state governments which lead
towards strengthening of PRIs for rural reform. This paper also throws some
light on necessity of ICT in self-governance along with some case studies.
| [
{
"created": "Fri, 3 Jan 2014 06:09:33 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Kumar",
"Puneet",
""
],
[
"Kumar",
"Dharminder",
""
],
[
"Kumar",
"Narendra",
""
]
] | [
-0.023656833916902542,
0.02999439835548401,
0.053104326128959656,
-0.10053707659244537,
-0.06017747148871422,
-0.03852115198969841,
0.04889809712767601,
0.0300594549626112,
0.006765949539840221,
0.002567755524069071,
0.03005242347717285,
-0.01923227868974209,
0.02633235789835453,
0.03402063250541687,
0.0764954462647438,
-0.053551167249679565,
0.06805028021335602,
-0.12825258076190948,
0.01393533032387495,
-0.056055985391139984,
0.0028823751490563154,
0.025132253766059875,
-0.05134880542755127,
-0.03418632596731186,
-0.02475685067474842,
0.0006562734488397837,
-0.01168627105653286,
-0.08463425189256668,
-0.0019457751186564565,
-0.023034952580928802,
0.047955237329006195,
-0.006636322475969791,
0.030966125428676605,
0.04229443147778511,
-0.018798131495714188,
0.040562067180871964,
0.010054577142000198,
0.007039122749119997,
-0.03154236823320389,
-0.05444377288222313,
0.05324336141347885,
-0.05925232917070389,
-0.028029996901750565,
-0.09779668599367142,
0.06358364969491959,
0.008027247153222561,
0.004459291696548462,
0.037383783608675,
-0.08166874200105667,
-0.1133422777056694,
-0.025874407961964607,
-0.03464512154459953,
-0.002234142040833831,
-0.0037123896181583405,
0.02591858059167862,
-0.05266392603516579,
0.032417770475149155,
0.02721783146262169,
-0.03748321160674095,
0.02316277101635933,
0.07048773020505905,
0.10907919704914093,
-0.03466479852795601,
0.01506735384464264,
0.06838929653167725,
0.11550918966531754,
0.024964021518826485,
-0.0014985876623541117,
0.006777011789381504,
-0.03259526193141937,
-0.016456499695777893,
-0.029446760192513466,
0.014523993246257305,
-0.002615738660097122,
-0.09420192986726761,
-0.0555037185549736,
-0.08593808114528656,
0.10564661026000977,
0.034094128757715225,
-0.020528018474578857,
0.03075489029288292,
0.08693179488182068,
0.06157320365309715,
0.06837552040815353,
-0.08547825366258621,
0.0076398784294724464,
-0.020308347418904305,
-0.05967118963599205,
0.05209767818450928,
-0.0720968022942543,
0.014406073838472366,
0.017076024785637856,
0.014331525191664696,
0.06426560133695602,
-0.0016271176282316446,
-0.10226897150278091,
-0.02365867607295513,
-0.059784144163131714,
-0.029552321881055832,
-0.012045440264046192,
-0.035486988723278046,
0.03495752066373825,
-0.036587201058864594,
-0.013815393671393394,
-0.06068238615989685,
-0.0008617611601948738,
-0.028515484184026718,
-0.0017179622082039714,
0.0692988783121109,
0.0486687533557415,
-0.0936858206987381,
-0.045819126069545746,
-0.05467703565955162,
-0.06393086165189743,
-0.0069250003434717655,
-0.04112391546368599,
-0.05979689210653305,
0.10050416737794876,
0.035965126007795334,
-0.007024172227829695,
-0.053505852818489075,
-0.042319465428590775,
-0.07158415019512177,
-0.060541074723005295,
0.033990971744060516,
0.004831220954656601,
0.006183159071952105,
5.434525623295555e-35,
-0.06064422428607941,
0.04803546518087387,
-0.04153959080576897,
0.004121899604797363,
-0.003899200353771448,
-0.02967667020857334,
-0.06196485087275505,
-0.05593186244368553,
-0.0766165480017662,
-0.049864910542964935,
0.09218396246433258,
0.0007591937901452184,
0.053288139402866364,
-0.0774669200181961,
0.07436835020780563,
-0.007095035165548325,
-0.05902788043022156,
-0.049743469804525375,
0.14671234786510468,
0.04955487325787544,
-0.027313372120261192,
0.05267287418246269,
0.06699582189321518,
-0.04462350904941559,
0.09114411473274231,
0.003349415957927704,
0.03381666541099548,
0.035599254071712494,
0.09730523824691772,
-0.013561863452196121,
0.0787845104932785,
-0.07786267250776291,
-0.007602950558066368,
-0.015490807592868805,
0.05465543270111084,
0.019498160108923912,
0.026496274396777153,
-0.04848732054233551,
0.046266891062259674,
0.03925568237900734,
-0.10230319947004318,
0.02885175310075283,
-0.036816082894802094,
-0.03143022954463959,
-0.009171922691166401,
0.06097429245710373,
0.06421893835067749,
0.011075953021645546,
-0.00132514419965446,
0.015703478828072548,
0.01224307157099247,
0.0036721474025398493,
0.017212800681591034,
-0.023713182657957077,
0.03310176730155945,
-0.02817537449300289,
-0.01259570848196745,
0.027408573776483536,
0.08193464577198029,
-0.03739352151751518,
0.07303029298782349,
-0.14229607582092285,
-0.0450875349342823,
0.002114766975864768,
0.0444522425532341,
-0.0498037189245224,
0.07782477885484695,
-0.03231102600693703,
0.11360619217157364,
-0.08724172413349152,
-0.03161437809467316,
-0.011097177863121033,
-0.022514622658491135,
0.08537732809782028,
-0.0839243084192276,
0.04316437616944313,
-0.03927760571241379,
-0.02915593981742859,
-0.046418409794569016,
0.05816636607050896,
-0.026223890483379364,
-0.018768329173326492,
-0.01969296485185623,
-0.010138743557035923,
0.1511078029870987,
-0.0017460137605667114,
-0.00138793361838907,
0.01236076932400465,
0.0020929034799337387,
0.07239839434623718,
-0.01637403294444084,
0.02244502305984497,
-0.033065974712371826,
0.09996417909860611,
0.04531858488917351,
-3.197616834647234e-33,
0.01875753328204155,
-0.043538425117731094,
-0.15029728412628174,
0.028757117688655853,
0.06976326555013657,
0.013914206996560097,
0.009271416813135147,
-0.043279826641082764,
0.040533605962991714,
0.023732470348477364,
-0.07565563917160034,
-0.025182228535413742,
0.10153915733098984,
0.08585169911384583,
-0.04075782001018524,
-0.024345437064766884,
0.010126642882823944,
-0.027292340993881226,
-0.045091163367033005,
0.019355492666363716,
-0.04101385176181793,
0.05671495571732521,
-0.04521344602108002,
0.04629988595843315,
0.017914988100528717,
0.03989719599485397,
-0.12805108726024628,
-0.0019095977768301964,
-0.0612594299018383,
-0.05335156247019768,
0.0013347587082535028,
-0.10112874954938889,
-0.03241148218512535,
0.003454467048868537,
-0.07870209217071533,
0.005943611729890108,
0.07270193845033646,
-0.052324943244457245,
0.05452423170208931,
0.019771810621023178,
-0.03319697082042694,
0.02867576852440834,
-0.013496794737875462,
-0.01860424131155014,
-0.10930623859167099,
0.002745223231613636,
-0.041238486766815186,
0.06976539641618729,
-0.04734073206782341,
-0.06000710651278496,
0.05451298877596855,
0.028583543375134468,
0.05422961711883545,
-0.09114222228527069,
-0.017093466594815254,
0.026914050802588463,
0.08127008378505707,
0.013550243340432644,
-0.020943742245435715,
0.04810294508934021,
0.03277401253581047,
-0.03945481404662132,
0.0337207205593586,
0.06101417541503906,
-0.02485591545701027,
-0.010504513047635555,
0.09903750568628311,
0.036076780408620834,
0.04542846977710724,
-0.0551905483007431,
0.002481724601238966,
-0.07424703240394592,
-0.11646121740341187,
-0.0371861457824707,
-0.014716469682753086,
0.041596803814172745,
0.021001677960157394,
0.03663833439350128,
-0.004167465493083,
-0.04065244272351265,
0.014581479132175446,
-0.012538064271211624,
0.020651770755648613,
-0.08418925106525421,
0.031729068607091904,
-0.015924014151096344,
0.08391023427248001,
-0.03223339095711708,
0.05565842613577843,
-0.017841212451457977,
-0.025277914479374886,
-0.04815691336989403,
-0.01874961517751217,
0.11333851516246796,
0.017475834116339684,
-4.2673843125839994e-8,
0.013051959685981274,
-0.04395915940403938,
0.03806399554014206,
0.007878310978412628,
-0.00042021708213724196,
0.012689853087067604,
0.07463382184505463,
0.0057389624416828156,
-0.0069573442451655865,
0.0595281645655632,
-0.0032910567242652178,
-0.045068662613630295,
-0.08629269152879715,
0.044867143034935,
0.005996169056743383,
-0.0049172667786479,
0.06092250347137451,
0.040297362953424454,
-0.020733371376991272,
-0.025421379134058952,
0.09048622846603394,
-0.07198979705572128,
-0.05319935455918312,
-0.07200871407985687,
0.0421697162091732,
-0.009226452559232712,
0.011350699700415134,
-0.038848791271448135,
-0.0021381762344390154,
0.052943166345357895,
-0.025504229590296745,
0.016388582065701485,
0.002468542428687215,
-0.010799760930240154,
-0.0425814650952816,
-0.005126253701746464,
0.020676448941230774,
0.053280092775821686,
0.034280162304639816,
-0.08964853733778,
0.006952274590730667,
0.07963728159666061,
0.02315281331539154,
0.007046428509056568,
-0.018949443474411964,
0.044413451105356216,
0.025031542405486107,
-0.01910826936364174,
0.0015018107369542122,
-0.03365055099129677,
-0.027013389393687248,
-0.012640696950256824,
0.037513915449380875,
0.06545118987560272,
0.03681819885969162,
-0.07719327509403229,
0.035605140030384064,
0.06915841996669769,
-0.006650861352682114,
0.07588216662406921,
-0.007339045871049166,
0.004049469716846943,
0.013616280630230904,
-0.03659491613507271
] | null | null | null | null | null | null | null | [
-0.023656833916902542,
0.02999439835548401,
0.053104326128959656,
-0.10053707659244537,
-0.06017747148871422,
-0.03852115198969841,
0.04889809712767601,
0.0300594549626112,
0.006765949539840221,
0.002567755524069071,
0.03005242347717285,
-0.01923227868974209,
0.02633235789835453,
0.03402063250541687,
0.0764954462647438,
-0.053551167249679565,
0.06805028021335602,
-0.12825258076190948,
0.01393533032387495,
-0.056055985391139984,
0.0028823751490563154,
0.025132253766059875,
-0.05134880542755127,
-0.03418632596731186,
-0.02475685067474842,
0.0006562734488397837,
-0.01168627105653286,
-0.08463425189256668,
-0.0019457751186564565,
-0.023034952580928802,
0.047955237329006195,
-0.006636322475969791,
0.030966125428676605,
0.04229443147778511,
-0.018798131495714188,
0.040562067180871964,
0.010054577142000198,
0.007039122749119997,
-0.03154236823320389,
-0.05444377288222313,
0.05324336141347885,
-0.05925232917070389,
-0.028029996901750565,
-0.09779668599367142,
0.06358364969491959,
0.008027247153222561,
0.004459291696548462,
0.037383783608675,
-0.08166874200105667,
-0.1133422777056694,
-0.025874407961964607,
-0.03464512154459953,
-0.002234142040833831,
-0.0037123896181583405,
0.02591858059167862,
-0.05266392603516579,
0.032417770475149155,
0.02721783146262169,
-0.03748321160674095,
0.02316277101635933,
0.07048773020505905,
0.10907919704914093,
-0.03466479852795601,
0.01506735384464264,
0.06838929653167725,
0.11550918966531754,
0.024964021518826485,
-0.0014985876623541117,
0.006777011789381504,
-0.03259526193141937,
-0.016456499695777893,
-0.029446760192513466,
0.014523993246257305,
-0.002615738660097122,
-0.09420192986726761,
-0.0555037185549736,
-0.08593808114528656,
0.10564661026000977,
0.034094128757715225,
-0.020528018474578857,
0.03075489029288292,
0.08693179488182068,
0.06157320365309715,
0.06837552040815353,
-0.08547825366258621,
0.0076398784294724464,
-0.020308347418904305,
-0.05967118963599205,
0.05209767818450928,
-0.0720968022942543,
0.014406073838472366,
0.017076024785637856,
0.014331525191664696,
0.06426560133695602,
-0.0016271176282316446,
-0.10226897150278091,
-0.02365867607295513,
-0.059784144163131714,
-0.029552321881055832,
-0.012045440264046192,
-0.035486988723278046,
0.03495752066373825,
-0.036587201058864594,
-0.013815393671393394,
-0.06068238615989685,
-0.0008617611601948738,
-0.028515484184026718,
-0.0017179622082039714,
0.0692988783121109,
0.0486687533557415,
-0.0936858206987381,
-0.045819126069545746,
-0.05467703565955162,
-0.06393086165189743,
-0.0069250003434717655,
-0.04112391546368599,
-0.05979689210653305,
0.10050416737794876,
0.035965126007795334,
-0.007024172227829695,
-0.053505852818489075,
-0.042319465428590775,
-0.07158415019512177,
-0.060541074723005295,
0.033990971744060516,
0.004831220954656601,
0.006183159071952105,
5.434525623295555e-35,
-0.06064422428607941,
0.04803546518087387,
-0.04153959080576897,
0.004121899604797363,
-0.003899200353771448,
-0.02967667020857334,
-0.06196485087275505,
-0.05593186244368553,
-0.0766165480017662,
-0.049864910542964935,
0.09218396246433258,
0.0007591937901452184,
0.053288139402866364,
-0.0774669200181961,
0.07436835020780563,
-0.007095035165548325,
-0.05902788043022156,
-0.049743469804525375,
0.14671234786510468,
0.04955487325787544,
-0.027313372120261192,
0.05267287418246269,
0.06699582189321518,
-0.04462350904941559,
0.09114411473274231,
0.003349415957927704,
0.03381666541099548,
0.035599254071712494,
0.09730523824691772,
-0.013561863452196121,
0.0787845104932785,
-0.07786267250776291,
-0.007602950558066368,
-0.015490807592868805,
0.05465543270111084,
0.019498160108923912,
0.026496274396777153,
-0.04848732054233551,
0.046266891062259674,
0.03925568237900734,
-0.10230319947004318,
0.02885175310075283,
-0.036816082894802094,
-0.03143022954463959,
-0.009171922691166401,
0.06097429245710373,
0.06421893835067749,
0.011075953021645546,
-0.00132514419965446,
0.015703478828072548,
0.01224307157099247,
0.0036721474025398493,
0.017212800681591034,
-0.023713182657957077,
0.03310176730155945,
-0.02817537449300289,
-0.01259570848196745,
0.027408573776483536,
0.08193464577198029,
-0.03739352151751518,
0.07303029298782349,
-0.14229607582092285,
-0.0450875349342823,
0.002114766975864768,
0.0444522425532341,
-0.0498037189245224,
0.07782477885484695,
-0.03231102600693703,
0.11360619217157364,
-0.08724172413349152,
-0.03161437809467316,
-0.011097177863121033,
-0.022514622658491135,
0.08537732809782028,
-0.0839243084192276,
0.04316437616944313,
-0.03927760571241379,
-0.02915593981742859,
-0.046418409794569016,
0.05816636607050896,
-0.026223890483379364,
-0.018768329173326492,
-0.01969296485185623,
-0.010138743557035923,
0.1511078029870987,
-0.0017460137605667114,
-0.00138793361838907,
0.01236076932400465,
0.0020929034799337387,
0.07239839434623718,
-0.01637403294444084,
0.02244502305984497,
-0.033065974712371826,
0.09996417909860611,
0.04531858488917351,
-3.197616834647234e-33,
0.01875753328204155,
-0.043538425117731094,
-0.15029728412628174,
0.028757117688655853,
0.06976326555013657,
0.013914206996560097,
0.009271416813135147,
-0.043279826641082764,
0.040533605962991714,
0.023732470348477364,
-0.07565563917160034,
-0.025182228535413742,
0.10153915733098984,
0.08585169911384583,
-0.04075782001018524,
-0.024345437064766884,
0.010126642882823944,
-0.027292340993881226,
-0.045091163367033005,
0.019355492666363716,
-0.04101385176181793,
0.05671495571732521,
-0.04521344602108002,
0.04629988595843315,
0.017914988100528717,
0.03989719599485397,
-0.12805108726024628,
-0.0019095977768301964,
-0.0612594299018383,
-0.05335156247019768,
0.0013347587082535028,
-0.10112874954938889,
-0.03241148218512535,
0.003454467048868537,
-0.07870209217071533,
0.005943611729890108,
0.07270193845033646,
-0.052324943244457245,
0.05452423170208931,
0.019771810621023178,
-0.03319697082042694,
0.02867576852440834,
-0.013496794737875462,
-0.01860424131155014,
-0.10930623859167099,
0.002745223231613636,
-0.041238486766815186,
0.06976539641618729,
-0.04734073206782341,
-0.06000710651278496,
0.05451298877596855,
0.028583543375134468,
0.05422961711883545,
-0.09114222228527069,
-0.017093466594815254,
0.026914050802588463,
0.08127008378505707,
0.013550243340432644,
-0.020943742245435715,
0.04810294508934021,
0.03277401253581047,
-0.03945481404662132,
0.0337207205593586,
0.06101417541503906,
-0.02485591545701027,
-0.010504513047635555,
0.09903750568628311,
0.036076780408620834,
0.04542846977710724,
-0.0551905483007431,
0.002481724601238966,
-0.07424703240394592,
-0.11646121740341187,
-0.0371861457824707,
-0.014716469682753086,
0.041596803814172745,
0.021001677960157394,
0.03663833439350128,
-0.004167465493083,
-0.04065244272351265,
0.014581479132175446,
-0.012538064271211624,
0.020651770755648613,
-0.08418925106525421,
0.031729068607091904,
-0.015924014151096344,
0.08391023427248001,
-0.03223339095711708,
0.05565842613577843,
-0.017841212451457977,
-0.025277914479374886,
-0.04815691336989403,
-0.01874961517751217,
0.11333851516246796,
0.017475834116339684,
-4.2673843125839994e-8,
0.013051959685981274,
-0.04395915940403938,
0.03806399554014206,
0.007878310978412628,
-0.00042021708213724196,
0.012689853087067604,
0.07463382184505463,
0.0057389624416828156,
-0.0069573442451655865,
0.0595281645655632,
-0.0032910567242652178,
-0.045068662613630295,
-0.08629269152879715,
0.044867143034935,
0.005996169056743383,
-0.0049172667786479,
0.06092250347137451,
0.040297362953424454,
-0.020733371376991272,
-0.025421379134058952,
0.09048622846603394,
-0.07198979705572128,
-0.05319935455918312,
-0.07200871407985687,
0.0421697162091732,
-0.009226452559232712,
0.011350699700415134,
-0.038848791271448135,
-0.0021381762344390154,
0.052943166345357895,
-0.025504229590296745,
0.016388582065701485,
0.002468542428687215,
-0.010799760930240154,
-0.0425814650952816,
-0.005126253701746464,
0.020676448941230774,
0.053280092775821686,
0.034280162304639816,
-0.08964853733778,
0.006952274590730667,
0.07963728159666061,
0.02315281331539154,
0.007046428509056568,
-0.018949443474411964,
0.044413451105356216,
0.025031542405486107,
-0.01910826936364174,
0.0015018107369542122,
-0.03365055099129677,
-0.027013389393687248,
-0.012640696950256824,
0.037513915449380875,
0.06545118987560272,
0.03681819885969162,
-0.07719327509403229,
0.035605140030384064,
0.06915841996669769,
-0.006650861352682114,
0.07588216662406921,
-0.007339045871049166,
0.004049469716846943,
0.013616280630230904,
-0.03659491613507271
] |
1401.0592 | Fei Xu | Fei Xu, Bi-cai Zheng, WEi Luo, Yan-qing Lu | The influence of van der Waals forces on the waveguide deformation and
power limit of nanoscale optomechanical systems | null | null | null | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ultra-short range force, van der Waals force (VWF), will rise rapidly
when one nanoscale waveguide is close to another one, and be stronger than the
external transverse gradient force (TGF). We theoretically investigate the
giant influence of the VWF on the device performance in a typical
optomechanical system consisting of a suspended silicon waveguide and a silica
substrate including waveguide deformation stiction and failure mechanism. The
device shows unique optically-activated plastic/elastic behaviors and stiction
due to the VWF. When the input optical power is above the critical power, the
waveguide is sticking to the substrate and the deformation is plastic and
unrecoverable, even though the total force is less than the yield strength of
the waveguide material. This is important and helpful for the design and
applications of optomechanical devices.
| [
{
"created": "Fri, 3 Jan 2014 06:13:32 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Xu",
"Fei",
""
],
[
"Zheng",
"Bi-cai",
""
],
[
"Luo",
"WEi",
""
],
[
"Lu",
"Yan-qing",
""
]
] | [
0.029972227290272713,
-0.01795060746371746,
0.02831626683473587,
0.019388839602470398,
-0.010177523829042912,
-0.04470496252179146,
-0.01534334383904934,
0.05141608417034149,
-0.02527698129415512,
0.007928003557026386,
0.03721899166703224,
0.022949468344449997,
-0.04067905247211456,
-0.01382028590887785,
0.0449051670730114,
0.06557650119066238,
-0.03287561237812042,
0.032685112208127975,
0.0032214883249253035,
0.03388090804219246,
0.12121601402759552,
0.02543378621339798,
-0.02055245265364647,
-0.05245251953601837,
-0.06703414767980576,
-0.00046050568926148117,
0.04182712361216545,
-0.006219941657036543,
-0.019777409732341766,
-0.022918036207556725,
-0.0925288125872612,
0.005648357793688774,
-0.11219312250614166,
0.054447904229164124,
0.02716384269297123,
0.009121634997427464,
0.03407176956534386,
-0.04920879378914833,
-0.12010575830936432,
-0.049605630338191986,
-0.03208840638399124,
-0.0024769259616732597,
-0.07859209179878235,
0.015726232901215553,
-0.02362038753926754,
0.02158661000430584,
0.09767654538154602,
0.009534246288239956,
-0.07464153319597244,
0.011475985869765282,
-0.0340689979493618,
-0.019505292177200317,
0.070427805185318,
0.004971535410732031,
-0.016242481768131256,
0.06922578811645508,
0.050109222531318665,
0.048318713903427124,
0.009183093905448914,
-0.07869742810726166,
0.05866997316479683,
-0.03642171248793602,
-0.013875776901841164,
-0.08327877521514893,
-0.017301207408308983,
0.04142896831035614,
0.05497013404965401,
-0.04598202556371689,
0.02004905603826046,
0.03502447158098221,
-0.020085735246539116,
-0.008289869874715805,
-0.009995384141802788,
0.06321156769990921,
0.05673728138208389,
0.026717068627476692,
0.020007602870464325,
0.029340606182813644,
0.008635301142930984,
0.05001916363835335,
0.0062535167671740055,
0.011658617295324802,
0.0008899656240828335,
-0.009154584258794785,
0.01999415084719658,
0.041414786130189896,
0.005494948010891676,
-0.012482531368732452,
-0.021392887458205223,
0.007245047017931938,
-0.004566609859466553,
-0.02107485756278038,
-0.04325984790921211,
-0.03737257793545723,
0.07516894489526749,
-0.09873470664024353,
-0.11002931743860245,
-0.18730372190475464,
-0.043760865926742554,
0.01567251980304718,
-0.0030414399225264788,
-0.005279203876852989,
-0.04430786520242691,
0.1002957746386528,
-0.04237385094165802,
-0.007770901080220938,
-0.014546236023306847,
0.017161229625344276,
-0.022080762311816216,
0.08032292127609253,
-0.00037107529351487756,
0.07110660523176193,
0.04463827982544899,
0.001999624539166689,
-0.03007805347442627,
-0.022633427754044533,
-0.01453431323170662,
0.06512950360774994,
-0.00956765003502369,
0.03388286754488945,
-0.045566536486148834,
0.03400445356965065,
-0.0817786157131195,
0.007675863336771727,
-0.0824328139424324,
0.013402674347162247,
-0.057110536843538284,
-8.127187944012826e-34,
0.05328971520066261,
0.06141466647386551,
0.012281641364097595,
-0.08416159451007843,
0.00636672368273139,
-0.181291863322258,
0.11139185726642609,
0.08505155891180038,
-0.05109007656574249,
-0.09910845756530762,
-0.05718439444899559,
0.019141392782330513,
-0.034828707575798035,
0.05844326317310333,
0.050851136445999146,
-0.030810311436653137,
0.037896521389484406,
0.055510908365249634,
-0.05194614455103874,
0.025756029412150383,
0.007983190007507801,
-0.01740925945341587,
0.00692527461796999,
-0.023478252813220024,
0.009255683980882168,
-0.04490179196000099,
0.003589655738323927,
0.10319368541240692,
-0.010744051076471806,
-0.009349655359983444,
-0.10098077356815338,
0.0009607704705558717,
0.06410599499940872,
-0.032091837376356125,
0.05826551467180252,
0.028056712821125984,
0.017060158774256706,
0.015171687118709087,
0.03720630332827568,
0.01610887609422207,
-0.02970314212143421,
0.039813268929719925,
0.10466545075178146,
0.043615419417619705,
-0.023244420066475868,
-0.02675466425716877,
-0.026836266741156578,
0.027512704953551292,
-0.04880193993449211,
-0.0648498609662056,
-0.002343585016205907,
-0.02547224424779415,
-0.006033988669514656,
0.0213098656386137,
0.04060111194849014,
-0.11154025793075562,
-0.04024607315659523,
-0.037389207631349564,
-0.01823417656123638,
-0.08565136790275574,
0.029863353818655014,
-0.09042587876319885,
0.09787654131650925,
0.1176835373044014,
-0.0005353158339858055,
0.01917666383087635,
-0.013173014856874943,
0.1347833126783371,
-0.03618529066443443,
0.012540060095489025,
-0.014218341559171677,
0.03271101415157318,
0.004415499046444893,
-0.10394184291362762,
-0.05486716330051422,
0.04408043250441551,
0.02162880077958107,
-0.08734632283449173,
0.042009565979242325,
0.03269641473889351,
0.020724769681692123,
0.023537250235676765,
0.006515740416944027,
-0.03521839529275894,
-0.07578515261411667,
0.04896586760878563,
0.029516376554965973,
-0.09765326976776123,
0.02593403495848179,
-0.03435599058866501,
-0.011860325001180172,
-0.07836565375328064,
0.013795793987810612,
-0.000753625703509897,
-0.03394220396876335,
-1.114496204083692e-33,
-0.01822369545698166,
-0.009707718156278133,
0.04909268394112587,
0.03155992552638054,
0.07623887807130814,
0.0023397377226501703,
-0.036311209201812744,
0.05866534635424614,
-0.03247736766934395,
0.019811812788248062,
0.018846893683075905,
-0.03574945777654648,
-0.0031460565514862537,
0.01415207702666521,
-0.06801974028348923,
-0.01112067885696888,
-0.029507659375667572,
-0.04343082383275032,
0.0382130891084671,
-0.0001553137699374929,
0.08807722479104996,
0.04052959010004997,
0.011592536233365536,
0.00378982350230217,
0.0017354830633848906,
-0.01718389056622982,
0.010024064220488071,
-0.005733781028538942,
-0.1390729695558548,
0.0031563357915729284,
0.03106645867228508,
-0.0525740385055542,
0.03983365744352341,
0.029181165620684624,
0.1335550844669342,
0.024360710754990578,
-0.040187615901231766,
0.00861283391714096,
0.053039953112602234,
-0.06172103434801102,
0.004246185999363661,
0.06097050756216049,
0.0943390280008316,
-0.05207022652029991,
-0.054770149290561676,
0.008912661112844944,
0.046739380806684494,
-0.09461116045713425,
-0.014244276098906994,
-0.0827944204211235,
0.003903633914887905,
0.0581270307302475,
-0.015041803941130638,
0.0052169449627399445,
-0.006001737434417009,
-0.000370938767446205,
-0.023727575317025185,
0.11339681595563889,
-0.027210157364606857,
0.06320971250534058,
-0.017542893067002296,
0.028276128694415092,
0.02332230471074581,
-0.008551250211894512,
0.034989237785339355,
-0.03852755203843117,
0.06589652597904205,
-0.004788045305758715,
0.09104720503091812,
-0.04456962272524834,
0.04281683266162872,
0.09327193349599838,
0.09738739579916,
0.03622899204492569,
0.014811784960329533,
-0.00422318559139967,
0.04955118149518967,
-0.055826131254434586,
-0.0690014585852623,
0.10269469022750854,
0.03026982955634594,
-0.005542631261050701,
-0.07833822816610336,
0.016984490677714348,
-0.10324428230524063,
0.05063573643565178,
0.021277347579598427,
0.0948016494512558,
-0.04632735997438431,
0.10196676850318909,
0.014615325257182121,
-0.08899068087339401,
0.026447394862771034,
-0.046454645693302155,
0.021929791197180748,
-4.594155456061344e-8,
0.0623457245528698,
0.09547482430934906,
-0.008923112414777279,
-0.0195232592523098,
-0.07242541760206223,
0.008852745406329632,
0.026111403480172157,
-0.013196315616369247,
0.017798444256186485,
-0.04095948487520218,
-0.03098299913108349,
-0.07932241261005402,
0.04085750877857208,
-0.010150095447897911,
0.02320990338921547,
-0.011938463896512985,
-0.031185602769255638,
-0.022245220839977264,
-0.015604413114488125,
-0.053606703877449036,
-0.08181728422641754,
0.015895957127213478,
0.10383230447769165,
0.026555374264717102,
-0.005938265006989241,
0.03217187151312828,
-0.02000654675066471,
-0.00491411192342639,
-0.022541319951415062,
0.039149653166532516,
-0.05673688277602196,
-0.013776049017906189,
-0.015824023634195328,
0.040894851088523865,
-0.11505117267370224,
0.050337597727775574,
-0.0876196101307869,
0.002232261933386326,
-0.013722424395382404,
0.0676620751619339,
0.08727824687957764,
0.000916711229365319,
-0.0014889745507389307,
0.0813497006893158,
-0.005589562002569437,
-0.016805926337838173,
-0.0016697421669960022,
0.021309876814484596,
-0.054732974618673325,
0.015175706706941128,
-0.034834470599889755,
0.06839524954557419,
-0.002754241693764925,
-0.0007394503336399794,
-0.027054836973547935,
-0.007817268371582031,
-0.04622461646795273,
0.022406969219446182,
-0.0646127462387085,
-0.01762157306075096,
0.08868245780467987,
-0.08851846307516098,
0.022185996174812317,
0.04786016047000885
] | null | null | null | null | null | null | null | [
0.029972227290272713,
-0.01795060746371746,
0.02831626683473587,
0.019388839602470398,
-0.010177523829042912,
-0.04470496252179146,
-0.01534334383904934,
0.05141608417034149,
-0.02527698129415512,
0.007928003557026386,
0.03721899166703224,
0.022949468344449997,
-0.04067905247211456,
-0.01382028590887785,
0.0449051670730114,
0.06557650119066238,
-0.03287561237812042,
0.032685112208127975,
0.0032214883249253035,
0.03388090804219246,
0.12121601402759552,
0.02543378621339798,
-0.02055245265364647,
-0.05245251953601837,
-0.06703414767980576,
-0.00046050568926148117,
0.04182712361216545,
-0.006219941657036543,
-0.019777409732341766,
-0.022918036207556725,
-0.0925288125872612,
0.005648357793688774,
-0.11219312250614166,
0.054447904229164124,
0.02716384269297123,
0.009121634997427464,
0.03407176956534386,
-0.04920879378914833,
-0.12010575830936432,
-0.049605630338191986,
-0.03208840638399124,
-0.0024769259616732597,
-0.07859209179878235,
0.015726232901215553,
-0.02362038753926754,
0.02158661000430584,
0.09767654538154602,
0.009534246288239956,
-0.07464153319597244,
0.011475985869765282,
-0.0340689979493618,
-0.019505292177200317,
0.070427805185318,
0.004971535410732031,
-0.016242481768131256,
0.06922578811645508,
0.050109222531318665,
0.048318713903427124,
0.009183093905448914,
-0.07869742810726166,
0.05866997316479683,
-0.03642171248793602,
-0.013875776901841164,
-0.08327877521514893,
-0.017301207408308983,
0.04142896831035614,
0.05497013404965401,
-0.04598202556371689,
0.02004905603826046,
0.03502447158098221,
-0.020085735246539116,
-0.008289869874715805,
-0.009995384141802788,
0.06321156769990921,
0.05673728138208389,
0.026717068627476692,
0.020007602870464325,
0.029340606182813644,
0.008635301142930984,
0.05001916363835335,
0.0062535167671740055,
0.011658617295324802,
0.0008899656240828335,
-0.009154584258794785,
0.01999415084719658,
0.041414786130189896,
0.005494948010891676,
-0.012482531368732452,
-0.021392887458205223,
0.007245047017931938,
-0.004566609859466553,
-0.02107485756278038,
-0.04325984790921211,
-0.03737257793545723,
0.07516894489526749,
-0.09873470664024353,
-0.11002931743860245,
-0.18730372190475464,
-0.043760865926742554,
0.01567251980304718,
-0.0030414399225264788,
-0.005279203876852989,
-0.04430786520242691,
0.1002957746386528,
-0.04237385094165802,
-0.007770901080220938,
-0.014546236023306847,
0.017161229625344276,
-0.022080762311816216,
0.08032292127609253,
-0.00037107529351487756,
0.07110660523176193,
0.04463827982544899,
0.001999624539166689,
-0.03007805347442627,
-0.022633427754044533,
-0.01453431323170662,
0.06512950360774994,
-0.00956765003502369,
0.03388286754488945,
-0.045566536486148834,
0.03400445356965065,
-0.0817786157131195,
0.007675863336771727,
-0.0824328139424324,
0.013402674347162247,
-0.057110536843538284,
-8.127187944012826e-34,
0.05328971520066261,
0.06141466647386551,
0.012281641364097595,
-0.08416159451007843,
0.00636672368273139,
-0.181291863322258,
0.11139185726642609,
0.08505155891180038,
-0.05109007656574249,
-0.09910845756530762,
-0.05718439444899559,
0.019141392782330513,
-0.034828707575798035,
0.05844326317310333,
0.050851136445999146,
-0.030810311436653137,
0.037896521389484406,
0.055510908365249634,
-0.05194614455103874,
0.025756029412150383,
0.007983190007507801,
-0.01740925945341587,
0.00692527461796999,
-0.023478252813220024,
0.009255683980882168,
-0.04490179196000099,
0.003589655738323927,
0.10319368541240692,
-0.010744051076471806,
-0.009349655359983444,
-0.10098077356815338,
0.0009607704705558717,
0.06410599499940872,
-0.032091837376356125,
0.05826551467180252,
0.028056712821125984,
0.017060158774256706,
0.015171687118709087,
0.03720630332827568,
0.01610887609422207,
-0.02970314212143421,
0.039813268929719925,
0.10466545075178146,
0.043615419417619705,
-0.023244420066475868,
-0.02675466425716877,
-0.026836266741156578,
0.027512704953551292,
-0.04880193993449211,
-0.0648498609662056,
-0.002343585016205907,
-0.02547224424779415,
-0.006033988669514656,
0.0213098656386137,
0.04060111194849014,
-0.11154025793075562,
-0.04024607315659523,
-0.037389207631349564,
-0.01823417656123638,
-0.08565136790275574,
0.029863353818655014,
-0.09042587876319885,
0.09787654131650925,
0.1176835373044014,
-0.0005353158339858055,
0.01917666383087635,
-0.013173014856874943,
0.1347833126783371,
-0.03618529066443443,
0.012540060095489025,
-0.014218341559171677,
0.03271101415157318,
0.004415499046444893,
-0.10394184291362762,
-0.05486716330051422,
0.04408043250441551,
0.02162880077958107,
-0.08734632283449173,
0.042009565979242325,
0.03269641473889351,
0.020724769681692123,
0.023537250235676765,
0.006515740416944027,
-0.03521839529275894,
-0.07578515261411667,
0.04896586760878563,
0.029516376554965973,
-0.09765326976776123,
0.02593403495848179,
-0.03435599058866501,
-0.011860325001180172,
-0.07836565375328064,
0.013795793987810612,
-0.000753625703509897,
-0.03394220396876335,
-1.114496204083692e-33,
-0.01822369545698166,
-0.009707718156278133,
0.04909268394112587,
0.03155992552638054,
0.07623887807130814,
0.0023397377226501703,
-0.036311209201812744,
0.05866534635424614,
-0.03247736766934395,
0.019811812788248062,
0.018846893683075905,
-0.03574945777654648,
-0.0031460565514862537,
0.01415207702666521,
-0.06801974028348923,
-0.01112067885696888,
-0.029507659375667572,
-0.04343082383275032,
0.0382130891084671,
-0.0001553137699374929,
0.08807722479104996,
0.04052959010004997,
0.011592536233365536,
0.00378982350230217,
0.0017354830633848906,
-0.01718389056622982,
0.010024064220488071,
-0.005733781028538942,
-0.1390729695558548,
0.0031563357915729284,
0.03106645867228508,
-0.0525740385055542,
0.03983365744352341,
0.029181165620684624,
0.1335550844669342,
0.024360710754990578,
-0.040187615901231766,
0.00861283391714096,
0.053039953112602234,
-0.06172103434801102,
0.004246185999363661,
0.06097050756216049,
0.0943390280008316,
-0.05207022652029991,
-0.054770149290561676,
0.008912661112844944,
0.046739380806684494,
-0.09461116045713425,
-0.014244276098906994,
-0.0827944204211235,
0.003903633914887905,
0.0581270307302475,
-0.015041803941130638,
0.0052169449627399445,
-0.006001737434417009,
-0.000370938767446205,
-0.023727575317025185,
0.11339681595563889,
-0.027210157364606857,
0.06320971250534058,
-0.017542893067002296,
0.028276128694415092,
0.02332230471074581,
-0.008551250211894512,
0.034989237785339355,
-0.03852755203843117,
0.06589652597904205,
-0.004788045305758715,
0.09104720503091812,
-0.04456962272524834,
0.04281683266162872,
0.09327193349599838,
0.09738739579916,
0.03622899204492569,
0.014811784960329533,
-0.00422318559139967,
0.04955118149518967,
-0.055826131254434586,
-0.0690014585852623,
0.10269469022750854,
0.03026982955634594,
-0.005542631261050701,
-0.07833822816610336,
0.016984490677714348,
-0.10324428230524063,
0.05063573643565178,
0.021277347579598427,
0.0948016494512558,
-0.04632735997438431,
0.10196676850318909,
0.014615325257182121,
-0.08899068087339401,
0.026447394862771034,
-0.046454645693302155,
0.021929791197180748,
-4.594155456061344e-8,
0.0623457245528698,
0.09547482430934906,
-0.008923112414777279,
-0.0195232592523098,
-0.07242541760206223,
0.008852745406329632,
0.026111403480172157,
-0.013196315616369247,
0.017798444256186485,
-0.04095948487520218,
-0.03098299913108349,
-0.07932241261005402,
0.04085750877857208,
-0.010150095447897911,
0.02320990338921547,
-0.011938463896512985,
-0.031185602769255638,
-0.022245220839977264,
-0.015604413114488125,
-0.053606703877449036,
-0.08181728422641754,
0.015895957127213478,
0.10383230447769165,
0.026555374264717102,
-0.005938265006989241,
0.03217187151312828,
-0.02000654675066471,
-0.00491411192342639,
-0.022541319951415062,
0.039149653166532516,
-0.05673688277602196,
-0.013776049017906189,
-0.015824023634195328,
0.040894851088523865,
-0.11505117267370224,
0.050337597727775574,
-0.0876196101307869,
0.002232261933386326,
-0.013722424395382404,
0.0676620751619339,
0.08727824687957764,
0.000916711229365319,
-0.0014889745507389307,
0.0813497006893158,
-0.005589562002569437,
-0.016805926337838173,
-0.0016697421669960022,
0.021309876814484596,
-0.054732974618673325,
0.015175706706941128,
-0.034834470599889755,
0.06839524954557419,
-0.002754241693764925,
-0.0007394503336399794,
-0.027054836973547935,
-0.007817268371582031,
-0.04622461646795273,
0.022406969219446182,
-0.0646127462387085,
-0.01762157306075096,
0.08868245780467987,
-0.08851846307516098,
0.022185996174812317,
0.04786016047000885
] |
1401.0598 | Wu Wu | Wu Wu, Jiulin Hu, Xiaofang Huang, Huijie Chen, Bo Sun | Flight trajectory recreation and playback system of aerial mission based
on ossimplanet | null | null | null | null | cs.HC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recreation of flight trajectory is important among research areas. The design
of a flight trajectory recreation and playback system is presented in this
paper. Rather than transferring the flight data to diagram, graph and table,
flight data is visualized on the 3D global of ossimPlanet. ossimPlanet is an
open-source 3D global geo-spatial viewer and the system realization is based on
analysis it. Users are allowed to choose their interested flight of aerial
mission. The aerial photographs and corresponding configuration files in which
flight data is included would be read in. And the flight statuses would be
stored. The flight trajectory is then recreated. Users can view the photographs
and flight trajectory marks on the correct positions of 3D global. The scene
along flight trajectory is also simulated at the plane's eye point. This paper
provides a more intuitive way for recreation of flight trajectory. The cost is
decreased remarkably and security is ensured by secondary development on
open-source platform.
| [
{
"created": "Fri, 3 Jan 2014 07:10:25 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Wu",
"Wu",
""
],
[
"Hu",
"Jiulin",
""
],
[
"Huang",
"Xiaofang",
""
],
[
"Chen",
"Huijie",
""
],
[
"Sun",
"Bo",
""
]
] | [
0.05366230010986328,
-0.034877289086580276,
-0.0883801206946373,
-0.10035224258899689,
0.04599185660481453,
-0.01601616106927395,
-0.029021022841334343,
0.024496465921401978,
0.05077867954969406,
0.07090090215206146,
0.020375659689307213,
0.023491941392421722,
-0.012274574488401413,
0.047231998294591904,
0.008209150284528732,
-0.03869939222931862,
-0.04876891151070595,
0.029494060203433037,
-0.007709768135100603,
0.01929265446960926,
0.03985800966620445,
-0.07114695757627487,
0.02102142944931984,
-0.01318354718387127,
0.011848493479192257,
0.006339116021990776,
0.052462395280599594,
0.03995620831847191,
-0.02701437845826149,
-0.05187477916479111,
0.04352260008454323,
0.06899691373109818,
-0.03632799908518791,
0.0015577730955556035,
-0.03330357000231743,
-0.03499119356274605,
-0.012822206132113934,
-0.05420198664069176,
-0.14891216158866882,
-0.02132972702383995,
-0.04052910953760147,
0.046217530965805054,
-0.0031261604744940996,
0.0332065112888813,
0.024332068860530853,
0.051202524453401566,
-0.024170247837901115,
0.006832837127149105,
0.05324861779808998,
0.08761540055274963,
-0.08357908576726913,
-0.12243905663490295,
-0.022260816767811775,
-0.0904720276594162,
0.07426412403583527,
0.04603397846221924,
-0.004476174712181091,
-0.048302847892045975,
0.017610197886824608,
-0.07147859781980515,
0.03216715529561043,
0.010991130024194717,
-0.014376147650182247,
0.03615179657936096,
-0.04544505476951599,
-0.04175109416246414,
-0.03104434721171856,
-0.036887276917696,
0.05274718627333641,
-0.08583228290081024,
-0.1070077046751976,
0.009230641648173332,
0.0417281910777092,
-0.025897374376654625,
-0.049279648810625076,
0.0318194180727005,
0.05190044268965721,
-0.007200213149189949,
-0.09384143352508545,
-0.061764996498823166,
0.16999948024749756,
0.03491414338350296,
-0.10634171217679977,
0.10529059171676636,
-0.0011252106633037329,
-0.011870793998241425,
-0.04278327897191048,
0.030095895752310753,
0.015991169959306717,
0.012924871407449245,
-0.04242846742272377,
-0.011793217621743679,
0.04647140949964523,
-0.06960126757621765,
-0.100608691573143,
-0.05911010131239891,
0.02584848925471306,
-0.11050932109355927,
0.05030308663845062,
0.050321031361818314,
0.015585890039801598,
-0.028876792639493942,
0.12333106249570847,
0.09712263941764832,
0.045526739209890366,
0.05156266689300537,
0.08658304810523987,
-0.016719968989491463,
-0.01756794936954975,
-0.0032600234262645245,
-0.14138810336589813,
0.00010226351150777191,
-0.05062831938266754,
-0.03053196892142296,
-0.0011919034877792,
0.06819427013397217,
-0.07638510316610336,
-0.00621499540284276,
-0.005102606490254402,
-0.011822480708360672,
0.015424502082169056,
-0.06204308569431305,
0.06831330060958862,
0.065196692943573,
0.0329313725233078,
-0.0016330084763467312,
0.05597749352455139,
7.271093316230705e-34,
-0.015175568871200085,
0.016202595084905624,
-0.012440275400876999,
0.014695202931761742,
0.0032591756898909807,
-0.04277234151959419,
-0.028278524056077003,
-0.012973275035619736,
0.004653888288885355,
-0.02887936681509018,
-0.024920279160141945,
-0.05564475432038307,
-0.0013534028548747301,
0.08725187182426453,
0.14977554976940155,
0.020690079778432846,
0.030486710369586945,
0.014124822802841663,
-0.004233257845044136,
0.08197380602359772,
-0.03205513581633568,
-0.09477949142456055,
-0.0014699564781039953,
0.006270857993513346,
0.032925769686698914,
0.056276481598615646,
-0.001550031709484756,
-0.03400268778204918,
0.009163652546703815,
0.0055406177416443825,
0.043647799640893936,
-0.036023981869220734,
-0.042757466435432434,
-0.06715691834688187,
-0.014412670396268368,
0.006982079241424799,
-0.03485771641135216,
-0.08218395709991455,
-0.019653107970952988,
0.029485289007425308,
-0.04440731927752495,
0.014725716784596443,
-0.03807815909385681,
0.0073614963330328465,
-0.06393903493881226,
0.02878960408270359,
-0.01571730710566044,
0.08042552322149277,
-0.005865477956831455,
0.06655831634998322,
0.0228350181132555,
0.028337648138403893,
0.0258627962321043,
-0.056241873651742935,
-0.06780096143484116,
-0.019853295758366585,
0.01533142663538456,
-0.039600539952516556,
0.0124884694814682,
0.06105060130357742,
0.0013952367007732391,
-0.03188357874751091,
-0.011236191727221012,
-0.012816869653761387,
-0.02891192026436329,
0.004391928669065237,
0.04386414214968681,
0.02244863286614418,
0.030619202181696892,
0.05166734755039215,
-0.05659539997577667,
0.003732204670086503,
0.07533519715070724,
-0.03289832919836044,
0.0012347877491265535,
0.012600859627127647,
-0.015862464904785156,
-0.010933315381407738,
0.04186554625630379,
0.03763997182250023,
-0.026040276512503624,
-0.04245208203792572,
0.05486011877655983,
-0.009438714943826199,
0.030993996188044548,
-0.0761599913239479,
0.026291608810424805,
-0.07122296094894409,
0.008889978751540184,
-0.03280080854892731,
-0.11533861607313156,
-0.014135684818029404,
-0.05818543955683708,
-0.004912858363240957,
0.018575230613350868,
-8.590389656244425e-34,
-0.004819965921342373,
0.01674625650048256,
-0.03125103563070297,
0.0021870010532438755,
-0.06271977722644806,
0.000897082791198045,
-0.03237851709127426,
0.01651599630713463,
-0.07241519540548325,
0.007057662587612867,
-0.11568373441696167,
0.00997796468436718,
0.06709092110395432,
0.003636317327618599,
0.0625448226928711,
-0.0067278011702001095,
-0.03602813184261322,
-0.0344674326479435,
-0.0787205845117569,
-0.011013936251401901,
0.07959496974945068,
0.03837260976433754,
-0.0026736108120530844,
-0.06757999211549759,
0.03387056663632393,
0.04738425090909004,
0.05999745801091194,
0.023549068719148636,
-0.03545404598116875,
0.033868804574012756,
0.021084435284137726,
-0.016356928274035454,
0.06005559861660004,
-0.038748979568481445,
0.00022818759316578507,
-0.0021998751908540726,
0.041068606078624725,
0.03389466553926468,
-0.044274892657995224,
-0.015153088606894016,
-0.04635778069496155,
0.0510384626686573,
0.02734510600566864,
-0.05755685642361641,
0.014265458099544048,
0.05043035373091698,
-0.018273120746016502,
0.13462547957897186,
0.046111561357975006,
0.008581304922699928,
-0.028279276564717293,
0.021901646628975868,
0.005082102958112955,
-0.025953058153390884,
0.13626807928085327,
-0.004266010131686926,
-0.028462648391723633,
0.0006081240135245025,
0.03853774815797806,
-0.09357467293739319,
0.042151160538196564,
-0.05573611706495285,
-0.1470901072025299,
0.012618661858141422,
-0.012751753441989422,
-0.03277882933616638,
0.03980220854282379,
0.007127756718546152,
-0.06593699753284454,
0.06738434731960297,
-0.020444296300411224,
0.033601969480514526,
0.012382864952087402,
-0.01268973108381033,
-0.007069967221468687,
-0.04087464511394501,
-0.013239088468253613,
0.07277698814868927,
0.07417445629835129,
0.022005362436175346,
0.042550694197416306,
-0.06227802112698555,
0.09044154733419418,
0.07758285105228424,
-0.010435585863888264,
0.05422528088092804,
-0.04617859423160553,
-0.011730789206922054,
-0.021802226081490517,
0.005562214180827141,
-0.009906810708343983,
0.06994953751564026,
-0.06984511762857437,
0.09238174557685852,
-0.00680212676525116,
-4.016326826672412e-8,
-0.07489075511693954,
0.02314220368862152,
0.010699573904275894,
0.04572964459657669,
-0.08710481226444244,
-0.030130058526992798,
0.08109374344348907,
-0.044016942381858826,
0.0009137793094851077,
-0.05315551906824112,
0.05626403167843819,
-0.07337058335542679,
-0.01672087237238884,
0.040208589285612106,
-0.0372210368514061,
0.06974756717681885,
0.04189848154783249,
0.01836707442998886,
-0.02483437769114971,
0.11034660041332245,
-0.038412101566791534,
0.0854812040925026,
-0.005595873109996319,
0.026664549484848976,
-0.026516998186707497,
0.08345148712396622,
-0.04103177785873413,
0.015062644146382809,
0.09528400003910065,
-0.05576648190617561,
0.00922830868512392,
0.00658508250489831,
0.07736192643642426,
-0.020149435847997665,
-0.02216687612235546,
-0.039026353508234024,
-0.08044295012950897,
0.047244369983673096,
0.0492158904671669,
0.010805382393300533,
-0.02038399875164032,
0.06186647340655327,
0.029030799865722656,
0.03924432024359703,
0.0641154944896698,
0.05022820457816124,
0.06863950937986374,
-0.1005161702632904,
-0.035549938678741455,
-0.03232686594128609,
-0.11713115125894547,
-0.02900979295372963,
-0.037551529705524445,
0.07355616986751556,
0.06615111976861954,
0.06420502811670303,
0.030373573303222656,
-0.03027760609984398,
0.08095971494913101,
0.03683033213019371,
-0.020358944311738014,
-0.00006965397915337235,
-0.09747833758592606,
0.01567855291068554
] | null | null | null | null | null | null | null | [
0.05366230010986328,
-0.034877289086580276,
-0.0883801206946373,
-0.10035224258899689,
0.04599185660481453,
-0.01601616106927395,
-0.029021022841334343,
0.024496465921401978,
0.05077867954969406,
0.07090090215206146,
0.020375659689307213,
0.023491941392421722,
-0.012274574488401413,
0.047231998294591904,
0.008209150284528732,
-0.03869939222931862,
-0.04876891151070595,
0.029494060203433037,
-0.007709768135100603,
0.01929265446960926,
0.03985800966620445,
-0.07114695757627487,
0.02102142944931984,
-0.01318354718387127,
0.011848493479192257,
0.006339116021990776,
0.052462395280599594,
0.03995620831847191,
-0.02701437845826149,
-0.05187477916479111,
0.04352260008454323,
0.06899691373109818,
-0.03632799908518791,
0.0015577730955556035,
-0.03330357000231743,
-0.03499119356274605,
-0.012822206132113934,
-0.05420198664069176,
-0.14891216158866882,
-0.02132972702383995,
-0.04052910953760147,
0.046217530965805054,
-0.0031261604744940996,
0.0332065112888813,
0.024332068860530853,
0.051202524453401566,
-0.024170247837901115,
0.006832837127149105,
0.05324861779808998,
0.08761540055274963,
-0.08357908576726913,
-0.12243905663490295,
-0.022260816767811775,
-0.0904720276594162,
0.07426412403583527,
0.04603397846221924,
-0.004476174712181091,
-0.048302847892045975,
0.017610197886824608,
-0.07147859781980515,
0.03216715529561043,
0.010991130024194717,
-0.014376147650182247,
0.03615179657936096,
-0.04544505476951599,
-0.04175109416246414,
-0.03104434721171856,
-0.036887276917696,
0.05274718627333641,
-0.08583228290081024,
-0.1070077046751976,
0.009230641648173332,
0.0417281910777092,
-0.025897374376654625,
-0.049279648810625076,
0.0318194180727005,
0.05190044268965721,
-0.007200213149189949,
-0.09384143352508545,
-0.061764996498823166,
0.16999948024749756,
0.03491414338350296,
-0.10634171217679977,
0.10529059171676636,
-0.0011252106633037329,
-0.011870793998241425,
-0.04278327897191048,
0.030095895752310753,
0.015991169959306717,
0.012924871407449245,
-0.04242846742272377,
-0.011793217621743679,
0.04647140949964523,
-0.06960126757621765,
-0.100608691573143,
-0.05911010131239891,
0.02584848925471306,
-0.11050932109355927,
0.05030308663845062,
0.050321031361818314,
0.015585890039801598,
-0.028876792639493942,
0.12333106249570847,
0.09712263941764832,
0.045526739209890366,
0.05156266689300537,
0.08658304810523987,
-0.016719968989491463,
-0.01756794936954975,
-0.0032600234262645245,
-0.14138810336589813,
0.00010226351150777191,
-0.05062831938266754,
-0.03053196892142296,
-0.0011919034877792,
0.06819427013397217,
-0.07638510316610336,
-0.00621499540284276,
-0.005102606490254402,
-0.011822480708360672,
0.015424502082169056,
-0.06204308569431305,
0.06831330060958862,
0.065196692943573,
0.0329313725233078,
-0.0016330084763467312,
0.05597749352455139,
7.271093316230705e-34,
-0.015175568871200085,
0.016202595084905624,
-0.012440275400876999,
0.014695202931761742,
0.0032591756898909807,
-0.04277234151959419,
-0.028278524056077003,
-0.012973275035619736,
0.004653888288885355,
-0.02887936681509018,
-0.024920279160141945,
-0.05564475432038307,
-0.0013534028548747301,
0.08725187182426453,
0.14977554976940155,
0.020690079778432846,
0.030486710369586945,
0.014124822802841663,
-0.004233257845044136,
0.08197380602359772,
-0.03205513581633568,
-0.09477949142456055,
-0.0014699564781039953,
0.006270857993513346,
0.032925769686698914,
0.056276481598615646,
-0.001550031709484756,
-0.03400268778204918,
0.009163652546703815,
0.0055406177416443825,
0.043647799640893936,
-0.036023981869220734,
-0.042757466435432434,
-0.06715691834688187,
-0.014412670396268368,
0.006982079241424799,
-0.03485771641135216,
-0.08218395709991455,
-0.019653107970952988,
0.029485289007425308,
-0.04440731927752495,
0.014725716784596443,
-0.03807815909385681,
0.0073614963330328465,
-0.06393903493881226,
0.02878960408270359,
-0.01571730710566044,
0.08042552322149277,
-0.005865477956831455,
0.06655831634998322,
0.0228350181132555,
0.028337648138403893,
0.0258627962321043,
-0.056241873651742935,
-0.06780096143484116,
-0.019853295758366585,
0.01533142663538456,
-0.039600539952516556,
0.0124884694814682,
0.06105060130357742,
0.0013952367007732391,
-0.03188357874751091,
-0.011236191727221012,
-0.012816869653761387,
-0.02891192026436329,
0.004391928669065237,
0.04386414214968681,
0.02244863286614418,
0.030619202181696892,
0.05166734755039215,
-0.05659539997577667,
0.003732204670086503,
0.07533519715070724,
-0.03289832919836044,
0.0012347877491265535,
0.012600859627127647,
-0.015862464904785156,
-0.010933315381407738,
0.04186554625630379,
0.03763997182250023,
-0.026040276512503624,
-0.04245208203792572,
0.05486011877655983,
-0.009438714943826199,
0.030993996188044548,
-0.0761599913239479,
0.026291608810424805,
-0.07122296094894409,
0.008889978751540184,
-0.03280080854892731,
-0.11533861607313156,
-0.014135684818029404,
-0.05818543955683708,
-0.004912858363240957,
0.018575230613350868,
-8.590389656244425e-34,
-0.004819965921342373,
0.01674625650048256,
-0.03125103563070297,
0.0021870010532438755,
-0.06271977722644806,
0.000897082791198045,
-0.03237851709127426,
0.01651599630713463,
-0.07241519540548325,
0.007057662587612867,
-0.11568373441696167,
0.00997796468436718,
0.06709092110395432,
0.003636317327618599,
0.0625448226928711,
-0.0067278011702001095,
-0.03602813184261322,
-0.0344674326479435,
-0.0787205845117569,
-0.011013936251401901,
0.07959496974945068,
0.03837260976433754,
-0.0026736108120530844,
-0.06757999211549759,
0.03387056663632393,
0.04738425090909004,
0.05999745801091194,
0.023549068719148636,
-0.03545404598116875,
0.033868804574012756,
0.021084435284137726,
-0.016356928274035454,
0.06005559861660004,
-0.038748979568481445,
0.00022818759316578507,
-0.0021998751908540726,
0.041068606078624725,
0.03389466553926468,
-0.044274892657995224,
-0.015153088606894016,
-0.04635778069496155,
0.0510384626686573,
0.02734510600566864,
-0.05755685642361641,
0.014265458099544048,
0.05043035373091698,
-0.018273120746016502,
0.13462547957897186,
0.046111561357975006,
0.008581304922699928,
-0.028279276564717293,
0.021901646628975868,
0.005082102958112955,
-0.025953058153390884,
0.13626807928085327,
-0.004266010131686926,
-0.028462648391723633,
0.0006081240135245025,
0.03853774815797806,
-0.09357467293739319,
0.042151160538196564,
-0.05573611706495285,
-0.1470901072025299,
0.012618661858141422,
-0.012751753441989422,
-0.03277882933616638,
0.03980220854282379,
0.007127756718546152,
-0.06593699753284454,
0.06738434731960297,
-0.020444296300411224,
0.033601969480514526,
0.012382864952087402,
-0.01268973108381033,
-0.007069967221468687,
-0.04087464511394501,
-0.013239088468253613,
0.07277698814868927,
0.07417445629835129,
0.022005362436175346,
0.042550694197416306,
-0.06227802112698555,
0.09044154733419418,
0.07758285105228424,
-0.010435585863888264,
0.05422528088092804,
-0.04617859423160553,
-0.011730789206922054,
-0.021802226081490517,
0.005562214180827141,
-0.009906810708343983,
0.06994953751564026,
-0.06984511762857437,
0.09238174557685852,
-0.00680212676525116,
-4.016326826672412e-8,
-0.07489075511693954,
0.02314220368862152,
0.010699573904275894,
0.04572964459657669,
-0.08710481226444244,
-0.030130058526992798,
0.08109374344348907,
-0.044016942381858826,
0.0009137793094851077,
-0.05315551906824112,
0.05626403167843819,
-0.07337058335542679,
-0.01672087237238884,
0.040208589285612106,
-0.0372210368514061,
0.06974756717681885,
0.04189848154783249,
0.01836707442998886,
-0.02483437769114971,
0.11034660041332245,
-0.038412101566791534,
0.0854812040925026,
-0.005595873109996319,
0.026664549484848976,
-0.026516998186707497,
0.08345148712396622,
-0.04103177785873413,
0.015062644146382809,
0.09528400003910065,
-0.05576648190617561,
0.00922830868512392,
0.00658508250489831,
0.07736192643642426,
-0.020149435847997665,
-0.02216687612235546,
-0.039026353508234024,
-0.08044295012950897,
0.047244369983673096,
0.0492158904671669,
0.010805382393300533,
-0.02038399875164032,
0.06186647340655327,
0.029030799865722656,
0.03924432024359703,
0.0641154944896698,
0.05022820457816124,
0.06863950937986374,
-0.1005161702632904,
-0.035549938678741455,
-0.03232686594128609,
-0.11713115125894547,
-0.02900979295372963,
-0.037551529705524445,
0.07355616986751556,
0.06615111976861954,
0.06420502811670303,
0.030373573303222656,
-0.03027760609984398,
0.08095971494913101,
0.03683033213019371,
-0.020358944311738014,
-0.00006965397915337235,
-0.09747833758592606,
0.01567855291068554
] |
1401.0606 | Sergiy Perepelytsya | O.O. Liubysh, O.M. Alekseev, S.Yu. Tkachov, S.M. Perepelytsya | Effect of ionic ordering in conductivity experiments of DNA aqueous
solutions | 12 pages, 6figures. Ukr. J. Phys. (2014) | null | null | null | q-bio.BM cond-mat.soft physics.bio-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effects of ionic ordering in DNA water solutions are studied by
conductivity experiments. The conductivity measurements are performed for the
solutions of DNA with KCl salt in the temperature range from 28 to 70 C. Salt
concentration vary from 0 to 2 M. The conductivity of solutions without DNA but
with the same concentration of KCl salt are also performed. The results show
that in case of salt free solution of DNA the melting process of the double
helix is observed, while in case of DNA solution with added salt the
macromolecule denaturation is not featured. For salt concentrations lower than
some critical one (0.4 M) the conductivity of DNA solution is higher than the
conductivity of KCl water solution without DNA. Starting from the critical
concentration the conductivity of KCl solution is higher than the conductivity
of DNA solution with added salt. For description of the experimental data
phenomenological model is elaborated basing on electrolyte theory. In framework
of the developed model a mechanism of counterion ordering is introduced.
According to this mechanism under the low salt concentrations electrical
conductivity of the system is caused by counterions of DNA ion-hydrate shell.
Increasing the amount of salt to the critical concentration counterions
condense on DNA polyanion. Further increase of salt concentration leads to the
formation of DNA-salt complexes that decreases the conductivity of the system.
| [
{
"created": "Fri, 3 Jan 2014 08:43:34 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Liubysh",
"O. O.",
""
],
[
"Alekseev",
"O. M.",
""
],
[
"Tkachov",
"S. Yu.",
""
],
[
"Perepelytsya",
"S. M.",
""
]
] | [
-0.0987372174859047,
-0.03527316451072693,
0.051305558532476425,
-0.019391890615224838,
-0.050676796585321426,
-0.00335006695240736,
0.04085636883974075,
0.0451543815433979,
-0.040247876197099686,
0.05909156799316406,
0.03130033239722252,
0.003288692096248269,
0.013709351420402527,
0.05115881189703941,
-0.04657984897494316,
-0.05762261524796486,
-0.060747478157281876,
0.06773945689201355,
-0.07828293740749359,
-0.005049694795161486,
0.056332409381866455,
-0.07882963865995407,
0.03673124685883522,
-0.03508436679840088,
-0.06784119457006454,
0.13079491257667542,
0.07254572212696075,
-0.01249576173722744,
-0.01146553922444582,
-0.03489895910024643,
-0.035724446177482605,
-0.03237327188253403,
-0.029459703713655472,
-0.02635822258889675,
0.010606912896037102,
0.06081406772136688,
-0.021569766104221344,
-0.06291970610618591,
-0.06738022714853287,
-0.03574247658252716,
0.03309359773993492,
0.060182083398103714,
0.04472409188747406,
0.09168671816587448,
0.01120003405958414,
0.01875540241599083,
0.06786231696605682,
-0.03433900326490402,
-0.04309491813182831,
0.006604158319532871,
0.04264269769191742,
0.009853851050138474,
0.023014187812805176,
-0.05924864485859871,
-0.09480872005224228,
0.018544120714068413,
-0.014488685876131058,
-0.013757649809122086,
0.04405776038765907,
0.04249853268265724,
0.03529636561870575,
0.05049123242497444,
-0.008960243314504623,
-0.017499111592769623,
0.053096871823072433,
-0.0404430627822876,
0.08932888507843018,
-0.018755201250314713,
-0.012313354760408401,
-0.021391863003373146,
0.012210347689688206,
0.018509525805711746,
0.06206757575273514,
-0.06809265911579132,
-0.022642796859145164,
-0.04519787058234215,
0.04216097295284271,
-0.03209974244236946,
-0.05118357017636299,
0.015204551629722118,
-0.038154859095811844,
-0.10529286414384842,
-0.03502216935157776,
-0.02370525151491165,
-0.035083264112472534,
0.020560890436172485,
0.07110358774662018,
-0.013901659287512302,
-0.030664140358567238,
0.011290397495031357,
-0.028369659557938576,
0.03961395472288132,
0.02872467413544655,
-0.07088299095630646,
-0.04090315103530884,
0.054928287863731384,
0.028078898787498474,
0.08899683505296707,
0.01564835011959076,
-0.03704138472676277,
0.03231194242835045,
0.008733376860618591,
-0.04218210652470589,
0.014999182894825935,
0.11344356834888458,
-0.07478692382574081,
-0.025785664096474648,
-0.043432578444480896,
-0.025887506082654,
0.10673543810844421,
-0.04700716957449913,
0.04971218481659889,
-0.03512679785490036,
0.07632984966039658,
0.0275555606931448,
-0.029574790969491005,
-0.0018859553383663297,
-0.0035562324337661266,
0.04454038664698601,
0.012582232244312763,
0.05804400146007538,
-0.07418452948331833,
0.007738799788057804,
-0.015939539298415184,
-0.0017664118204265833,
0.021858302876353264,
0.0769963264465332,
4.194757835723072e-33,
-0.011100545525550842,
-0.051950279623270035,
0.06351643055677414,
-0.02675674483180046,
-0.004510079510509968,
-0.0550852008163929,
-0.03725682571530342,
0.04773402959108353,
-0.11330993473529816,
-0.019774461165070534,
-0.02571862004697323,
0.03243317827582359,
0.0704943835735321,
0.014833418652415276,
-0.10704800486564636,
0.05992157384753227,
-0.021637966856360435,
-0.051741063594818115,
-0.013600191101431847,
0.0015719607472419739,
0.03098045289516449,
-0.07063459604978561,
0.0716334655880928,
0.07156188786029816,
0.030898690223693848,
-0.07489683479070663,
-0.020245978608727455,
-0.055331043899059296,
0.020818188786506653,
-0.05588791146874428,
0.0413077287375927,
-0.09207691997289658,
-0.042224470525979996,
0.10723362863063812,
0.06912719458341599,
0.09976255893707275,
0.0020061808172613382,
0.029723472893238068,
0.047080833464860916,
0.07647537440061569,
-0.09045940637588501,
-0.11139053106307983,
0.06632497906684875,
-0.011854489333927631,
0.06207862123847008,
0.04406676068902016,
0.0020184535533189774,
-0.031694959849119186,
-0.03220342844724655,
-0.0026338044553995132,
-0.002168502891436219,
-0.03194044157862663,
0.010580739937722683,
0.07026968896389008,
-0.000602489395532757,
0.019616838544607162,
0.0366353914141655,
-0.039663903415203094,
-0.06421157717704773,
0.01746394857764244,
-0.02465951070189476,
0.043998707085847855,
-0.01085638627409935,
-0.027169732376933098,
0.05040394887328148,
0.013035510666668415,
-0.023881610482931137,
-0.030877096578478813,
0.1281493455171585,
-0.05858368054032326,
0.010075288824737072,
-0.03736724331974983,
0.018880533054471016,
0.0317717045545578,
0.016154076904058456,
0.09977415204048157,
-0.08099746704101562,
-0.023585140705108643,
-0.039221346378326416,
-0.006495087873190641,
-0.03279317542910576,
-0.04965832084417343,
0.04577098786830902,
-0.025354081764817238,
-0.04155939444899559,
-0.02921983227133751,
-0.011968933045864105,
0.07275354862213135,
0.06265906244516373,
-0.004718557000160217,
0.056519269943237305,
-0.015466954559087753,
0.07744427770376205,
-0.10742558538913727,
0.04801619052886963,
-5.120541554258196e-33,
0.09549544751644135,
-0.03641260415315628,
0.05380932241678238,
0.08580366522073746,
0.01708281598985195,
-0.11542600393295288,
0.08498243242502213,
0.03992167115211487,
0.02965102531015873,
-0.04770528897643089,
0.09426240622997284,
-0.03843986988067627,
0.01214891392737627,
0.015180348418653011,
-0.006853293161839247,
0.05988991633057594,
-0.06808694452047348,
0.09007995575666428,
0.07110808789730072,
0.039959244430065155,
-0.07572798430919647,
0.0694052129983902,
0.0036980409640818834,
0.05079679563641548,
0.01656816340982914,
-0.06137468293309212,
-0.00411255843937397,
-0.04135704040527344,
-0.01684306003153324,
0.010133747942745686,
-0.0024093070533126593,
0.04080260917544365,
0.021543830633163452,
0.014916932210326195,
0.027496788650751114,
-0.03607410565018654,
-0.019728293642401695,
-0.006759588606655598,
0.040547046810388565,
0.08467348664999008,
-0.05537068843841553,
0.046408142894506454,
-0.013219056650996208,
-0.02135186828672886,
0.0034922242630273104,
0.04258293658494949,
-0.006517089903354645,
-0.013816921971738338,
0.0169538464397192,
-0.0223663579672575,
0.027690190821886063,
0.017818665131926537,
-0.0319560244679451,
-0.0438491627573967,
-0.013552404940128326,
0.047901034355163574,
-0.0345802865922451,
-0.0008096406818367541,
-0.00891297496855259,
0.023930884897708893,
0.09316962212324142,
-0.11588270962238312,
0.06465958058834076,
-0.08609142899513245,
-0.03436833992600441,
-0.04063204303383827,
-0.046580832451581955,
0.06253351271152496,
0.03369325399398804,
-0.08641688525676727,
-0.005285236053168774,
-0.017119888216257095,
0.13323844969272614,
-0.02767346240580082,
0.00480226194486022,
-0.05953020229935646,
-0.07987669855356216,
0.010378318838775158,
0.04084540158510208,
-0.07749363034963608,
0.04154069349169731,
0.11427820473909378,
-0.1188034862279892,
-0.031230909749865532,
0.0765203982591629,
-0.02408316172659397,
0.04163443297147751,
-0.023828666657209396,
-0.05511825159192085,
-0.0760316327214241,
-0.012648958712816238,
-0.05149151384830475,
-0.02314070798456669,
0.06573598831892014,
0.0787518173456192,
-4.250415130968577e-8,
0.07795025408267975,
-0.0011544519802555442,
-0.009433926083147526,
-0.0548529326915741,
0.057270221412181854,
0.10163487493991852,
0.01714438758790493,
-0.019539108499884605,
0.08470124006271362,
-0.019227296113967896,
-0.054472025483846664,
0.10844860225915909,
-0.016209151595830917,
0.01949397101998329,
-0.03288816660642624,
0.007360038813203573,
-0.004127605818212032,
-0.05671819671988487,
-0.035377733409404755,
-0.005055376794189215,
0.02591095305979252,
-0.013656769879162312,
-0.15253539383411407,
0.01773056760430336,
-0.0005317314644344151,
0.08030088990926743,
0.09772255271673203,
-0.026207895949482918,
-0.03797008842229843,
-0.03391466662287712,
-0.06118805706501007,
-0.042176950722932816,
0.028995320200920105,
0.0059829759411513805,
0.09343224763870239,
0.03414479270577431,
0.024749023839831352,
0.020803246647119522,
-0.052959393709897995,
-0.04608992487192154,
-0.035264305770397186,
-0.03478319197893143,
-0.02081039734184742,
-0.014639140106737614,
0.006260935682803392,
-0.05200047791004181,
0.017283618450164795,
0.030375786125659943,
-0.030131157487630844,
0.018030842766165733,
0.03227275237441063,
-0.016371605917811394,
-0.037129711359739304,
-0.04412335529923439,
-0.005541281774640083,
0.01854613609611988,
-0.0579066202044487,
-0.008155799470841885,
-0.09050370007753372,
0.0331677608191967,
0.025449158623814583,
-0.030553260818123817,
0.01810837909579277,
-0.09851076453924179
] | null | null | null | null | null | null | null | [
-0.0987372174859047,
-0.03527316451072693,
0.051305558532476425,
-0.019391890615224838,
-0.050676796585321426,
-0.00335006695240736,
0.04085636883974075,
0.0451543815433979,
-0.040247876197099686,
0.05909156799316406,
0.03130033239722252,
0.003288692096248269,
0.013709351420402527,
0.05115881189703941,
-0.04657984897494316,
-0.05762261524796486,
-0.060747478157281876,
0.06773945689201355,
-0.07828293740749359,
-0.005049694795161486,
0.056332409381866455,
-0.07882963865995407,
0.03673124685883522,
-0.03508436679840088,
-0.06784119457006454,
0.13079491257667542,
0.07254572212696075,
-0.01249576173722744,
-0.01146553922444582,
-0.03489895910024643,
-0.035724446177482605,
-0.03237327188253403,
-0.029459703713655472,
-0.02635822258889675,
0.010606912896037102,
0.06081406772136688,
-0.021569766104221344,
-0.06291970610618591,
-0.06738022714853287,
-0.03574247658252716,
0.03309359773993492,
0.060182083398103714,
0.04472409188747406,
0.09168671816587448,
0.01120003405958414,
0.01875540241599083,
0.06786231696605682,
-0.03433900326490402,
-0.04309491813182831,
0.006604158319532871,
0.04264269769191742,
0.009853851050138474,
0.023014187812805176,
-0.05924864485859871,
-0.09480872005224228,
0.018544120714068413,
-0.014488685876131058,
-0.013757649809122086,
0.04405776038765907,
0.04249853268265724,
0.03529636561870575,
0.05049123242497444,
-0.008960243314504623,
-0.017499111592769623,
0.053096871823072433,
-0.0404430627822876,
0.08932888507843018,
-0.018755201250314713,
-0.012313354760408401,
-0.021391863003373146,
0.012210347689688206,
0.018509525805711746,
0.06206757575273514,
-0.06809265911579132,
-0.022642796859145164,
-0.04519787058234215,
0.04216097295284271,
-0.03209974244236946,
-0.05118357017636299,
0.015204551629722118,
-0.038154859095811844,
-0.10529286414384842,
-0.03502216935157776,
-0.02370525151491165,
-0.035083264112472534,
0.020560890436172485,
0.07110358774662018,
-0.013901659287512302,
-0.030664140358567238,
0.011290397495031357,
-0.028369659557938576,
0.03961395472288132,
0.02872467413544655,
-0.07088299095630646,
-0.04090315103530884,
0.054928287863731384,
0.028078898787498474,
0.08899683505296707,
0.01564835011959076,
-0.03704138472676277,
0.03231194242835045,
0.008733376860618591,
-0.04218210652470589,
0.014999182894825935,
0.11344356834888458,
-0.07478692382574081,
-0.025785664096474648,
-0.043432578444480896,
-0.025887506082654,
0.10673543810844421,
-0.04700716957449913,
0.04971218481659889,
-0.03512679785490036,
0.07632984966039658,
0.0275555606931448,
-0.029574790969491005,
-0.0018859553383663297,
-0.0035562324337661266,
0.04454038664698601,
0.012582232244312763,
0.05804400146007538,
-0.07418452948331833,
0.007738799788057804,
-0.015939539298415184,
-0.0017664118204265833,
0.021858302876353264,
0.0769963264465332,
4.194757835723072e-33,
-0.011100545525550842,
-0.051950279623270035,
0.06351643055677414,
-0.02675674483180046,
-0.004510079510509968,
-0.0550852008163929,
-0.03725682571530342,
0.04773402959108353,
-0.11330993473529816,
-0.019774461165070534,
-0.02571862004697323,
0.03243317827582359,
0.0704943835735321,
0.014833418652415276,
-0.10704800486564636,
0.05992157384753227,
-0.021637966856360435,
-0.051741063594818115,
-0.013600191101431847,
0.0015719607472419739,
0.03098045289516449,
-0.07063459604978561,
0.0716334655880928,
0.07156188786029816,
0.030898690223693848,
-0.07489683479070663,
-0.020245978608727455,
-0.055331043899059296,
0.020818188786506653,
-0.05588791146874428,
0.0413077287375927,
-0.09207691997289658,
-0.042224470525979996,
0.10723362863063812,
0.06912719458341599,
0.09976255893707275,
0.0020061808172613382,
0.029723472893238068,
0.047080833464860916,
0.07647537440061569,
-0.09045940637588501,
-0.11139053106307983,
0.06632497906684875,
-0.011854489333927631,
0.06207862123847008,
0.04406676068902016,
0.0020184535533189774,
-0.031694959849119186,
-0.03220342844724655,
-0.0026338044553995132,
-0.002168502891436219,
-0.03194044157862663,
0.010580739937722683,
0.07026968896389008,
-0.000602489395532757,
0.019616838544607162,
0.0366353914141655,
-0.039663903415203094,
-0.06421157717704773,
0.01746394857764244,
-0.02465951070189476,
0.043998707085847855,
-0.01085638627409935,
-0.027169732376933098,
0.05040394887328148,
0.013035510666668415,
-0.023881610482931137,
-0.030877096578478813,
0.1281493455171585,
-0.05858368054032326,
0.010075288824737072,
-0.03736724331974983,
0.018880533054471016,
0.0317717045545578,
0.016154076904058456,
0.09977415204048157,
-0.08099746704101562,
-0.023585140705108643,
-0.039221346378326416,
-0.006495087873190641,
-0.03279317542910576,
-0.04965832084417343,
0.04577098786830902,
-0.025354081764817238,
-0.04155939444899559,
-0.02921983227133751,
-0.011968933045864105,
0.07275354862213135,
0.06265906244516373,
-0.004718557000160217,
0.056519269943237305,
-0.015466954559087753,
0.07744427770376205,
-0.10742558538913727,
0.04801619052886963,
-5.120541554258196e-33,
0.09549544751644135,
-0.03641260415315628,
0.05380932241678238,
0.08580366522073746,
0.01708281598985195,
-0.11542600393295288,
0.08498243242502213,
0.03992167115211487,
0.02965102531015873,
-0.04770528897643089,
0.09426240622997284,
-0.03843986988067627,
0.01214891392737627,
0.015180348418653011,
-0.006853293161839247,
0.05988991633057594,
-0.06808694452047348,
0.09007995575666428,
0.07110808789730072,
0.039959244430065155,
-0.07572798430919647,
0.0694052129983902,
0.0036980409640818834,
0.05079679563641548,
0.01656816340982914,
-0.06137468293309212,
-0.00411255843937397,
-0.04135704040527344,
-0.01684306003153324,
0.010133747942745686,
-0.0024093070533126593,
0.04080260917544365,
0.021543830633163452,
0.014916932210326195,
0.027496788650751114,
-0.03607410565018654,
-0.019728293642401695,
-0.006759588606655598,
0.040547046810388565,
0.08467348664999008,
-0.05537068843841553,
0.046408142894506454,
-0.013219056650996208,
-0.02135186828672886,
0.0034922242630273104,
0.04258293658494949,
-0.006517089903354645,
-0.013816921971738338,
0.0169538464397192,
-0.0223663579672575,
0.027690190821886063,
0.017818665131926537,
-0.0319560244679451,
-0.0438491627573967,
-0.013552404940128326,
0.047901034355163574,
-0.0345802865922451,
-0.0008096406818367541,
-0.00891297496855259,
0.023930884897708893,
0.09316962212324142,
-0.11588270962238312,
0.06465958058834076,
-0.08609142899513245,
-0.03436833992600441,
-0.04063204303383827,
-0.046580832451581955,
0.06253351271152496,
0.03369325399398804,
-0.08641688525676727,
-0.005285236053168774,
-0.017119888216257095,
0.13323844969272614,
-0.02767346240580082,
0.00480226194486022,
-0.05953020229935646,
-0.07987669855356216,
0.010378318838775158,
0.04084540158510208,
-0.07749363034963608,
0.04154069349169731,
0.11427820473909378,
-0.1188034862279892,
-0.031230909749865532,
0.0765203982591629,
-0.02408316172659397,
0.04163443297147751,
-0.023828666657209396,
-0.05511825159192085,
-0.0760316327214241,
-0.012648958712816238,
-0.05149151384830475,
-0.02314070798456669,
0.06573598831892014,
0.0787518173456192,
-4.250415130968577e-8,
0.07795025408267975,
-0.0011544519802555442,
-0.009433926083147526,
-0.0548529326915741,
0.057270221412181854,
0.10163487493991852,
0.01714438758790493,
-0.019539108499884605,
0.08470124006271362,
-0.019227296113967896,
-0.054472025483846664,
0.10844860225915909,
-0.016209151595830917,
0.01949397101998329,
-0.03288816660642624,
0.007360038813203573,
-0.004127605818212032,
-0.05671819671988487,
-0.035377733409404755,
-0.005055376794189215,
0.02591095305979252,
-0.013656769879162312,
-0.15253539383411407,
0.01773056760430336,
-0.0005317314644344151,
0.08030088990926743,
0.09772255271673203,
-0.026207895949482918,
-0.03797008842229843,
-0.03391466662287712,
-0.06118805706501007,
-0.042176950722932816,
0.028995320200920105,
0.0059829759411513805,
0.09343224763870239,
0.03414479270577431,
0.024749023839831352,
0.020803246647119522,
-0.052959393709897995,
-0.04608992487192154,
-0.035264305770397186,
-0.03478319197893143,
-0.02081039734184742,
-0.014639140106737614,
0.006260935682803392,
-0.05200047791004181,
0.017283618450164795,
0.030375786125659943,
-0.030131157487630844,
0.018030842766165733,
0.03227275237441063,
-0.016371605917811394,
-0.037129711359739304,
-0.04412335529923439,
-0.005541281774640083,
0.01854613609611988,
-0.0579066202044487,
-0.008155799470841885,
-0.09050370007753372,
0.0331677608191967,
0.025449158623814583,
-0.030553260818123817,
0.01810837909579277,
-0.09851076453924179
] |
1401.0608 | Ali Sheharyar | Ali Sheharyar, Othmane Bouhali | A Framework for Creating a Distributed Rendering Environment on the
Compute Clusters | null | null | null | null | cs.DC cs.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper discusses the deployment of existing render farm manager in a
typical compute cluster environment such as a university. Usually, both a
render farm and a compute cluster use different queue managers and assume total
control over the physical resources. But, taking out the physical resources
from an existing compute cluster in a university-like environment whose primary
use of the cluster is to run numerical simulations may not be possible. It can
potentially reduce the overall resource utilization in a situation where
compute tasks are more than rendering tasks. Moreover, it can increase the
system administration cost. In this paper, a framework has been proposed that
creates a dynamic distributed rendering environment on top of the compute
clusters using existing render farm managers without requiring the physical
separation of the resources.
| [
{
"created": "Fri, 3 Jan 2014 08:48:25 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Sheharyar",
"Ali",
""
],
[
"Bouhali",
"Othmane",
""
]
] | [
0.0016500999918207526,
-0.023396514356136322,
0.0033632488921284676,
0.001723174238577485,
0.02656671591103077,
-0.10355189442634583,
-0.049093347042798996,
-0.028014810755848885,
-0.024595191702246666,
0.05984010174870491,
-0.059984005987644196,
-0.07574427872896194,
0.057145100086927414,
-0.03772987797856331,
0.002877411199733615,
-0.03255089372396469,
0.1403048038482666,
-0.05016568675637245,
-0.005799298640340567,
-0.05531514063477516,
-0.032274164259433746,
-0.09343404322862625,
-0.06421002000570297,
0.001645849202759564,
0.016506459563970566,
0.04404452070593834,
-0.014987816102802753,
-0.006708513014018536,
0.013346648775041103,
-0.015311726368963718,
-0.008679240010678768,
-0.011360465548932552,
-0.043295785784721375,
0.030723538249731064,
-0.007459517568349838,
0.06509515643119812,
0.014914019964635372,
-0.01539144478738308,
-0.0742354765534401,
-0.033287689089775085,
0.03389079496264458,
0.02999231405556202,
-0.05943102762103081,
-0.03188478946685791,
-0.0010787948267534375,
0.006503862328827381,
0.01385337021201849,
-0.04579094424843788,
-0.02924978733062744,
-0.02917519398033619,
-0.013577193021774292,
-0.08086846023797989,
0.0068208323791623116,
0.019643254578113556,
-0.04985903203487396,
0.022330909967422485,
0.08603896200656891,
-0.05922047048807144,
-0.015580622479319572,
-0.01158195175230503,
-0.020068403333425522,
-0.02481813356280327,
0.06239645183086395,
0.022886453196406364,
0.048505380749702454,
-0.016363132745027542,
0.06989409774541855,
0.025039058178663254,
0.049679070711135864,
-0.07657049596309662,
0.012858694419264793,
0.002211836166679859,
0.00060896179638803,
-0.12204337865114212,
-0.12219657003879547,
0.024040427058935165,
-0.02019595168530941,
-0.01446543913334608,
0.07457996904850006,
-0.018013279885053635,
0.11415550112724304,
0.058487311005592346,
-0.02462778240442276,
0.0211645495146513,
-0.08305753767490387,
-0.029722141101956367,
-0.030380189418792725,
0.00335486838594079,
0.08414628356695175,
-0.048541802912950516,
0.0343051552772522,
0.03257584571838379,
0.012257426977157593,
-0.01493530161678791,
-0.059623848646879196,
-0.07024082541465759,
0.04307468235492706,
-0.05800989642739296,
0.019276227802038193,
0.0034705856814980507,
0.00036307983100414276,
0.017818445339798927,
0.12300388514995575,
-0.014674799516797066,
0.006264966446906328,
0.008873085491359234,
-0.021968485787510872,
0.0857095941901207,
-0.013503335416316986,
-0.014596717432141304,
0.03850813955068588,
0.04413435235619545,
-0.06254658102989197,
0.02503969706594944,
-0.021184738725423813,
-0.015168641693890095,
0.038784172385931015,
-0.0737626701593399,
-0.0094830933958292,
0.10082770884037018,
0.024509219452738762,
-0.05597226321697235,
0.07034067064523697,
0.024436920881271362,
0.08346296101808548,
-0.027639692649245262,
-0.05101093277335167,
9.314738458770735e-34,
0.027159983292222023,
-0.045345284044742584,
-0.019411392509937286,
-0.05956653878092766,
0.15396079421043396,
-0.04248712211847305,
0.0007372759864665568,
0.04868018999695778,
-0.02498244307935238,
-0.11039833724498749,
0.0022089709527790546,
0.028176438063383102,
0.05756036192178726,
0.023561039939522743,
0.06281851977109909,
-0.1005624309182167,
0.07376393675804138,
0.08943052589893341,
0.0014829144347459078,
-0.002599949948489666,
-0.04112834855914116,
-0.01737360469996929,
-0.028397465124726295,
-0.027003956958651543,
-0.02844993583858013,
0.06945237517356873,
0.016999028623104095,
0.044867731630802155,
0.07926499098539352,
-0.004469623323529959,
0.054137393832206726,
-0.008262869901955128,
-0.03751160949468613,
0.02101920172572136,
-0.006977682001888752,
0.03842702880501747,
-0.03679056093096733,
-0.03532955050468445,
0.03624354675412178,
0.018625808879733086,
-0.06289269030094147,
0.04879065603017807,
0.08637862652540207,
-0.03215556591749191,
-0.03078964166343212,
0.03403346985578537,
0.037713054567575455,
-0.022685684263706207,
-0.023159874603152275,
-0.05394607409834862,
-0.012788957916200161,
-0.009966266341507435,
0.07523799687623978,
-0.019662071019411087,
0.007559019140899181,
-0.0031409033108502626,
0.05662504583597183,
-0.03920438513159752,
0.11142723262310028,
0.04034781828522682,
-0.0891704186797142,
0.01317217294126749,
-0.1578453630208969,
0.06106638163328171,
-0.039421312510967255,
-0.059331122785806656,
0.0581839345395565,
0.0019208609592169523,
0.015980681404471397,
0.08158138394355774,
0.001713076257146895,
-0.027709826827049255,
0.06596022099256516,
0.02113318257033825,
0.06105301156640053,
0.033656079322099686,
-0.013426022604107857,
-0.00727006746456027,
-0.15969014167785645,
0.03803374245762825,
-0.033575884997844696,
-0.04075663536787033,
-0.10755471140146255,
-0.02469339407980442,
0.045008450746536255,
-0.08343193680047989,
0.02308167703449726,
0.0643228143453598,
-0.06077142804861069,
0.008683071471750736,
-0.07206237316131592,
-0.0720747783780098,
0.0728742703795433,
-0.05567856505513191,
-0.0033140804152935743,
-1.726793487176263e-33,
0.011882396414875984,
-0.01663142256438732,
-0.052963074296712875,
0.0938238874077797,
0.06967971473932266,
-0.011065454222261906,
-0.01213784795254469,
-0.02563900128006935,
-0.05381009727716446,
-0.06737849116325378,
-0.07526496052742004,
0.04310871288180351,
-0.0023652506060898304,
0.05762849003076553,
-0.11549561470746994,
0.031184665858745575,
0.02359994687139988,
-0.04442162066698074,
-0.04711979627609253,
-0.0057730525732040405,
-0.05337265133857727,
-0.007219450082629919,
0.022561494261026382,
0.009810342453420162,
-0.04672655463218689,
0.06099415197968483,
0.01328852865844965,
-0.015736781060695648,
-0.04328303784132004,
0.038530297577381134,
-0.051231034100055695,
-0.07279358804225922,
-0.007641396950930357,
-0.02216094546020031,
0.009605233557522297,
-0.005780528765171766,
0.01730469986796379,
0.030677618458867073,
-0.04795357212424278,
0.053308580070734024,
0.0358407087624073,
-0.09913751482963562,
-0.04060525819659233,
-0.004111805930733681,
0.02262887917459011,
0.04110287129878998,
-0.09141311794519424,
-0.021398130804300308,
-0.02722502127289772,
-0.024279717355966568,
-0.06288187205791473,
-0.002804604358971119,
-0.05094136297702789,
0.010925136506557465,
0.008627192117273808,
-0.0648159459233284,
-0.03682023659348488,
0.1369783878326416,
-0.03746744990348816,
-0.011570962145924568,
0.08839088678359985,
-0.07451331615447998,
-0.00017046391440089792,
0.005402554292231798,
-0.04612177610397339,
0.013295655138790607,
-0.006610010284930468,
-0.016366122290492058,
-0.022129757329821587,
0.03438486158847809,
-0.016193630173802376,
-0.0005845770938321948,
-0.0055036162957549095,
0.05647504702210426,
-0.06079050526022911,
0.013784974813461304,
0.06820839643478394,
-0.055857568979263306,
0.07151686400175095,
0.06520051509141922,
0.012180598452687263,
-0.01426076889038086,
0.02382466197013855,
0.0001235061208717525,
0.03600475564599037,
-0.017412826418876648,
0.02126619592308998,
-0.0027295455802232027,
-0.00531025929376483,
-0.05926774814724922,
-0.041237834841012955,
0.008575038984417915,
0.03165588900446892,
0.027915090322494507,
-0.02886674366891384,
-3.886749411208257e-8,
0.03108513541519642,
-0.0015445348108187318,
0.08237667381763458,
0.024991540238261223,
-0.000355424708686769,
-0.009914192371070385,
0.0709475502371788,
-0.039293572306632996,
0.06652609258890152,
0.03818589821457863,
0.04246078059077263,
-0.08042767643928528,
0.01794569008052349,
0.0009737517102621496,
0.06854557991027832,
0.12688131630420685,
-0.011348769068717957,
-0.037308014929294586,
-0.04796624556183815,
-0.02507607825100422,
-0.013075481168925762,
0.03372325375676155,
-0.02048969455063343,
0.047119006514549255,
-0.02245853841304779,
0.04066065698862076,
0.09841929376125336,
0.003985198214650154,
0.0015946036437526345,
0.050398100167512894,
0.027085324749350548,
0.02099686674773693,
-0.03190765529870987,
0.0503622330725193,
0.03975355252623558,
-0.07654401659965515,
-0.04288381710648537,
0.06552381068468094,
0.12268686294555664,
0.06139754876494408,
-0.038668014109134674,
0.01780226081609726,
-0.0006301545654423535,
0.008555884473025799,
0.12846823036670685,
0.006880503613501787,
-0.043609075248241425,
0.034046247601509094,
-0.021321343258023262,
0.0638524740934372,
-0.002658728277310729,
-0.03160836547613144,
-0.08615925163030624,
0.11350119113922119,
0.052098631858825684,
-0.10665388405323029,
0.018520817160606384,
-0.031270138919353485,
0.12021210789680481,
0.10038885474205017,
0.07050595432519913,
-0.05174999311566353,
0.008988318033516407,
-0.01728401891887188
] | null | null | null | null | null | null | null | [
0.0016500999918207526,
-0.023396514356136322,
0.0033632488921284676,
0.001723174238577485,
0.02656671591103077,
-0.10355189442634583,
-0.049093347042798996,
-0.028014810755848885,
-0.024595191702246666,
0.05984010174870491,
-0.059984005987644196,
-0.07574427872896194,
0.057145100086927414,
-0.03772987797856331,
0.002877411199733615,
-0.03255089372396469,
0.1403048038482666,
-0.05016568675637245,
-0.005799298640340567,
-0.05531514063477516,
-0.032274164259433746,
-0.09343404322862625,
-0.06421002000570297,
0.001645849202759564,
0.016506459563970566,
0.04404452070593834,
-0.014987816102802753,
-0.006708513014018536,
0.013346648775041103,
-0.015311726368963718,
-0.008679240010678768,
-0.011360465548932552,
-0.043295785784721375,
0.030723538249731064,
-0.007459517568349838,
0.06509515643119812,
0.014914019964635372,
-0.01539144478738308,
-0.0742354765534401,
-0.033287689089775085,
0.03389079496264458,
0.02999231405556202,
-0.05943102762103081,
-0.03188478946685791,
-0.0010787948267534375,
0.006503862328827381,
0.01385337021201849,
-0.04579094424843788,
-0.02924978733062744,
-0.02917519398033619,
-0.013577193021774292,
-0.08086846023797989,
0.0068208323791623116,
0.019643254578113556,
-0.04985903203487396,
0.022330909967422485,
0.08603896200656891,
-0.05922047048807144,
-0.015580622479319572,
-0.01158195175230503,
-0.020068403333425522,
-0.02481813356280327,
0.06239645183086395,
0.022886453196406364,
0.048505380749702454,
-0.016363132745027542,
0.06989409774541855,
0.025039058178663254,
0.049679070711135864,
-0.07657049596309662,
0.012858694419264793,
0.002211836166679859,
0.00060896179638803,
-0.12204337865114212,
-0.12219657003879547,
0.024040427058935165,
-0.02019595168530941,
-0.01446543913334608,
0.07457996904850006,
-0.018013279885053635,
0.11415550112724304,
0.058487311005592346,
-0.02462778240442276,
0.0211645495146513,
-0.08305753767490387,
-0.029722141101956367,
-0.030380189418792725,
0.00335486838594079,
0.08414628356695175,
-0.048541802912950516,
0.0343051552772522,
0.03257584571838379,
0.012257426977157593,
-0.01493530161678791,
-0.059623848646879196,
-0.07024082541465759,
0.04307468235492706,
-0.05800989642739296,
0.019276227802038193,
0.0034705856814980507,
0.00036307983100414276,
0.017818445339798927,
0.12300388514995575,
-0.014674799516797066,
0.006264966446906328,
0.008873085491359234,
-0.021968485787510872,
0.0857095941901207,
-0.013503335416316986,
-0.014596717432141304,
0.03850813955068588,
0.04413435235619545,
-0.06254658102989197,
0.02503969706594944,
-0.021184738725423813,
-0.015168641693890095,
0.038784172385931015,
-0.0737626701593399,
-0.0094830933958292,
0.10082770884037018,
0.024509219452738762,
-0.05597226321697235,
0.07034067064523697,
0.024436920881271362,
0.08346296101808548,
-0.027639692649245262,
-0.05101093277335167,
9.314738458770735e-34,
0.027159983292222023,
-0.045345284044742584,
-0.019411392509937286,
-0.05956653878092766,
0.15396079421043396,
-0.04248712211847305,
0.0007372759864665568,
0.04868018999695778,
-0.02498244307935238,
-0.11039833724498749,
0.0022089709527790546,
0.028176438063383102,
0.05756036192178726,
0.023561039939522743,
0.06281851977109909,
-0.1005624309182167,
0.07376393675804138,
0.08943052589893341,
0.0014829144347459078,
-0.002599949948489666,
-0.04112834855914116,
-0.01737360469996929,
-0.028397465124726295,
-0.027003956958651543,
-0.02844993583858013,
0.06945237517356873,
0.016999028623104095,
0.044867731630802155,
0.07926499098539352,
-0.004469623323529959,
0.054137393832206726,
-0.008262869901955128,
-0.03751160949468613,
0.02101920172572136,
-0.006977682001888752,
0.03842702880501747,
-0.03679056093096733,
-0.03532955050468445,
0.03624354675412178,
0.018625808879733086,
-0.06289269030094147,
0.04879065603017807,
0.08637862652540207,
-0.03215556591749191,
-0.03078964166343212,
0.03403346985578537,
0.037713054567575455,
-0.022685684263706207,
-0.023159874603152275,
-0.05394607409834862,
-0.012788957916200161,
-0.009966266341507435,
0.07523799687623978,
-0.019662071019411087,
0.007559019140899181,
-0.0031409033108502626,
0.05662504583597183,
-0.03920438513159752,
0.11142723262310028,
0.04034781828522682,
-0.0891704186797142,
0.01317217294126749,
-0.1578453630208969,
0.06106638163328171,
-0.039421312510967255,
-0.059331122785806656,
0.0581839345395565,
0.0019208609592169523,
0.015980681404471397,
0.08158138394355774,
0.001713076257146895,
-0.027709826827049255,
0.06596022099256516,
0.02113318257033825,
0.06105301156640053,
0.033656079322099686,
-0.013426022604107857,
-0.00727006746456027,
-0.15969014167785645,
0.03803374245762825,
-0.033575884997844696,
-0.04075663536787033,
-0.10755471140146255,
-0.02469339407980442,
0.045008450746536255,
-0.08343193680047989,
0.02308167703449726,
0.0643228143453598,
-0.06077142804861069,
0.008683071471750736,
-0.07206237316131592,
-0.0720747783780098,
0.0728742703795433,
-0.05567856505513191,
-0.0033140804152935743,
-1.726793487176263e-33,
0.011882396414875984,
-0.01663142256438732,
-0.052963074296712875,
0.0938238874077797,
0.06967971473932266,
-0.011065454222261906,
-0.01213784795254469,
-0.02563900128006935,
-0.05381009727716446,
-0.06737849116325378,
-0.07526496052742004,
0.04310871288180351,
-0.0023652506060898304,
0.05762849003076553,
-0.11549561470746994,
0.031184665858745575,
0.02359994687139988,
-0.04442162066698074,
-0.04711979627609253,
-0.0057730525732040405,
-0.05337265133857727,
-0.007219450082629919,
0.022561494261026382,
0.009810342453420162,
-0.04672655463218689,
0.06099415197968483,
0.01328852865844965,
-0.015736781060695648,
-0.04328303784132004,
0.038530297577381134,
-0.051231034100055695,
-0.07279358804225922,
-0.007641396950930357,
-0.02216094546020031,
0.009605233557522297,
-0.005780528765171766,
0.01730469986796379,
0.030677618458867073,
-0.04795357212424278,
0.053308580070734024,
0.0358407087624073,
-0.09913751482963562,
-0.04060525819659233,
-0.004111805930733681,
0.02262887917459011,
0.04110287129878998,
-0.09141311794519424,
-0.021398130804300308,
-0.02722502127289772,
-0.024279717355966568,
-0.06288187205791473,
-0.002804604358971119,
-0.05094136297702789,
0.010925136506557465,
0.008627192117273808,
-0.0648159459233284,
-0.03682023659348488,
0.1369783878326416,
-0.03746744990348816,
-0.011570962145924568,
0.08839088678359985,
-0.07451331615447998,
-0.00017046391440089792,
0.005402554292231798,
-0.04612177610397339,
0.013295655138790607,
-0.006610010284930468,
-0.016366122290492058,
-0.022129757329821587,
0.03438486158847809,
-0.016193630173802376,
-0.0005845770938321948,
-0.0055036162957549095,
0.05647504702210426,
-0.06079050526022911,
0.013784974813461304,
0.06820839643478394,
-0.055857568979263306,
0.07151686400175095,
0.06520051509141922,
0.012180598452687263,
-0.01426076889038086,
0.02382466197013855,
0.0001235061208717525,
0.03600475564599037,
-0.017412826418876648,
0.02126619592308998,
-0.0027295455802232027,
-0.00531025929376483,
-0.05926774814724922,
-0.041237834841012955,
0.008575038984417915,
0.03165588900446892,
0.027915090322494507,
-0.02886674366891384,
-3.886749411208257e-8,
0.03108513541519642,
-0.0015445348108187318,
0.08237667381763458,
0.024991540238261223,
-0.000355424708686769,
-0.009914192371070385,
0.0709475502371788,
-0.039293572306632996,
0.06652609258890152,
0.03818589821457863,
0.04246078059077263,
-0.08042767643928528,
0.01794569008052349,
0.0009737517102621496,
0.06854557991027832,
0.12688131630420685,
-0.011348769068717957,
-0.037308014929294586,
-0.04796624556183815,
-0.02507607825100422,
-0.013075481168925762,
0.03372325375676155,
-0.02048969455063343,
0.047119006514549255,
-0.02245853841304779,
0.04066065698862076,
0.09841929376125336,
0.003985198214650154,
0.0015946036437526345,
0.050398100167512894,
0.027085324749350548,
0.02099686674773693,
-0.03190765529870987,
0.0503622330725193,
0.03975355252623558,
-0.07654401659965515,
-0.04288381710648537,
0.06552381068468094,
0.12268686294555664,
0.06139754876494408,
-0.038668014109134674,
0.01780226081609726,
-0.0006301545654423535,
0.008555884473025799,
0.12846823036670685,
0.006880503613501787,
-0.043609075248241425,
0.034046247601509094,
-0.021321343258023262,
0.0638524740934372,
-0.002658728277310729,
-0.03160836547613144,
-0.08615925163030624,
0.11350119113922119,
0.052098631858825684,
-0.10665388405323029,
0.018520817160606384,
-0.031270138919353485,
0.12021210789680481,
0.10038885474205017,
0.07050595432519913,
-0.05174999311566353,
0.008988318033516407,
-0.01728401891887188
] |
1401.0613 | Peixiang Lu | Cheng Huang, Pengfei Lan, Yueming Zhou, Qingbin Zhang, Kunlong Liu,
and Peixiang Lu | Revisiting the tunnelling site of electrons in strong field enhanced
ionization of molecules | null | null | 10.1103/PhysRevA.90.043420 | null | physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigated electron emissions in strong field enhanced ionization of
asymmetric diatomic molecules by quantum calculations. It is demonstrated that
the widely-used intuitive physical pic- ture, i.e., electron wave packet direct
ionization from the up-field site (DIU), is incomplete. Besides DIU, we find
another two new ionization channels, the field-induced excitation with
subsequent ionization from the down-field site (ESID), and the up-field site
(ESIU). The contributions from these channels depend on the molecular asymmetry
and internuclear distance. Our work provides a more comprehensive physical
picture for the long-standing issue about enhanced ionization of diatomic
molecules.
| [
{
"created": "Fri, 3 Jan 2014 09:28:55 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Huang",
"Cheng",
""
],
[
"Lan",
"Pengfei",
""
],
[
"Zhou",
"Yueming",
""
],
[
"Zhang",
"Qingbin",
""
],
[
"Liu",
"Kunlong",
""
],
[
"Lu",
"Peixiang",
""
]
] | [
0.010431056842207909,
0.04514893889427185,
0.0035164356231689453,
-0.033635929226875305,
-0.07021324336528778,
-0.09138143062591553,
0.062020719051361084,
0.011181778274476528,
-0.001629848382435739,
0.01320800743997097,
-0.0057708509266376495,
0.0416945144534111,
-0.05633582919836044,
-0.007725424598902464,
0.1176278218626976,
0.023414742201566696,
0.040744394063949585,
0.050225093960762024,
-0.0971551313996315,
0.024986475706100464,
-0.042993370443582535,
-0.008952025324106216,
0.015553874894976616,
-0.008333809673786163,
0.09486082196235657,
-0.006938056088984013,
0.07691703736782074,
0.10494554042816162,
-0.028113648295402527,
-0.08302276581525803,
0.03396768867969513,
-0.01174154318869114,
-0.015293647535145283,
-0.049376435577869415,
0.03159833326935768,
0.015700435265898705,
0.015776602551341057,
0.05948597937822342,
0.01278842706233263,
0.05648041516542435,
-0.006805467419326305,
0.018338803201913834,
-0.019437670707702637,
0.009700903668999672,
-0.03213769942522049,
-0.11681151390075684,
0.07950793206691742,
-0.011974581517279148,
0.05388744920492172,
-0.0013200435787439346,
0.07430334389209747,
0.134748637676239,
-0.03485144302248955,
0.04826726019382477,
-0.09586434066295624,
0.0332668162882328,
-0.039909087121486664,
-0.008399941958487034,
-0.053758151829242706,
-0.027743017300963402,
-0.001088186982087791,
0.054200075566768646,
0.03830339387059212,
0.03324272856116295,
0.0018777695950120687,
-0.09777888655662537,
0.05096360296010971,
-0.03486828878521919,
0.013079232536256313,
-0.05445647984743118,
-0.01540347095578909,
-0.02865472622215748,
-0.04443296790122986,
-0.061717838048934937,
0.009028824977576733,
0.0474829263985157,
-0.06259484589099884,
0.09906680881977081,
0.0973372533917427,
-0.027751009911298752,
0.004560989793390036,
0.011051052249968052,
0.05836961418390274,
0.04332530498504639,
-0.07210755348205566,
0.048931773751974106,
-0.0383899100124836,
-0.008179878816008568,
-0.01065594982355833,
-0.022485854104161263,
-0.029316456988453865,
-0.04956270009279251,
0.0293312706053257,
0.058132000267505646,
0.0003201319486834109,
-0.01182208675891161,
0.07181292027235031,
-0.0003031754749827087,
0.022283287718892097,
0.01694336347281933,
0.09038226306438446,
0.01104935072362423,
-0.04709682986140251,
0.06101037561893463,
-0.008204459212720394,
0.01778622716665268,
0.07637809962034225,
0.07121936231851578,
-0.07373961061239243,
0.03365884721279144,
0.054349467158317566,
0.002714733825996518,
0.08240547776222229,
-0.043113693594932556,
0.001911017345264554,
0.12168505042791367,
0.018497301265597343,
0.012908373959362507,
0.04776715114712715,
-0.09917642921209335,
-0.007229966577142477,
-0.08120975643396378,
-0.04786563664674759,
0.11208752542734146,
0.03083711303770542,
0.024456201121211052,
0.048574093729257584,
-2.320619621420089e-34,
0.08539706468582153,
0.0905889943242073,
0.05737533047795296,
0.014121543616056442,
-0.012709748931229115,
-0.03313321992754936,
-0.056967705488204956,
-0.013312497176229954,
-0.13534516096115112,
0.025166282430291176,
-0.046478722244501114,
0.04124975576996803,
0.11738729476928711,
-0.02816827781498432,
-0.0020275781862437725,
-0.008411237969994545,
-0.07969720661640167,
0.03233516216278076,
0.0007413976709358394,
0.05563241243362427,
0.0272099357098341,
0.023690517991781235,
-0.03638383001089096,
0.06909123808145523,
-0.04477588087320328,
0.10290585458278656,
0.004249688237905502,
0.07149975001811981,
-0.05130549892783165,
-0.02132410742342472,
0.09955526143312454,
-0.014823692850768566,
0.0011652498506009579,
0.011880205012857914,
-0.02345866896212101,
-0.007136230822652578,
-0.05012845993041992,
0.02217790298163891,
-0.0032857651822268963,
-0.02168099954724312,
-0.0209187064319849,
0.00935384351760149,
-0.034287381917238235,
-0.08614819496870041,
0.00661974772810936,
-0.002509606070816517,
-0.036228202283382416,
-0.10668427497148514,
0.0859394371509552,
-0.0065472424030303955,
-0.014419500716030598,
-0.02216794714331627,
0.006100003607571125,
0.06933795660734177,
0.02015218324959278,
0.024299927055835724,
-0.03176083788275719,
-0.006858356297016144,
0.012717161327600479,
0.05840235576033592,
0.027299659326672554,
-0.016976526007056236,
0.017464404925704002,
0.06220857426524162,
-0.05426206439733505,
0.002747989958152175,
-0.02385290339589119,
-0.009433018043637276,
0.020072998479008675,
0.07661231607198715,
-0.0497235469520092,
0.07813795655965805,
0.029210008680820465,
-0.060247987508773804,
0.01853957213461399,
0.012411943636834621,
-0.04246407747268677,
-0.05678257346153259,
0.03761177882552147,
0.02034110203385353,
-0.015592587180435658,
-0.0442492701113224,
-0.0015943465987220407,
-0.05391442030668259,
-0.039665523916482925,
-0.05845507234334946,
-0.10398006439208984,
-0.02923602983355522,
-0.03270683437585831,
-0.0029408729169517756,
0.016166478395462036,
0.017417065799236298,
-0.02551277168095112,
-0.08830118179321289,
-0.049647700041532516,
-2.1952088841957438e-33,
0.0017700172029435635,
0.0007731705554760993,
-0.044479601085186005,
0.007424129173159599,
-0.0739397406578064,
0.06162609905004501,
0.014191573485732079,
0.04810303822159767,
-0.00006671484152320772,
0.06464534252882004,
0.014027835801243782,
0.07398270070552826,
-0.06406974792480469,
-0.02244378812611103,
0.012737336568534374,
-0.09796249121427536,
0.004618375096470118,
0.035994887351989746,
0.06475505232810974,
0.02950831688940525,
0.0058182054199278355,
-0.02815593034029007,
0.03354719281196594,
-0.04808832332491875,
0.03933243453502655,
-0.004143130965530872,
-0.006343654822558165,
-0.08464059233665466,
0.056384291499853134,
-0.038706813007593155,
0.0009321077377535403,
0.04007700830698013,
-0.023153549060225487,
0.03725156560540199,
-0.0382598340511322,
0.057188183069229126,
-0.05516656115651131,
0.04061980918049812,
-0.06083286553621292,
-0.029016122221946716,
-0.017526885494589806,
-0.010795895010232925,
-0.024986226111650467,
0.03828539699316025,
0.0729437917470932,
0.022820021957159042,
-0.0979851484298706,
0.07237831503152847,
0.029734695330262184,
-0.0307622067630291,
-0.030905254185199738,
0.01575840823352337,
0.05667196586728096,
0.04613249748945236,
-0.05044447258114815,
0.07143539190292358,
0.1306120604276657,
0.000026934934794553556,
0.058105938136577606,
0.014680870808660984,
-0.08284968137741089,
-0.11770567297935486,
0.021942034363746643,
-0.04030793905258179,
-0.04627364128828049,
-0.001155765843577683,
-0.04645375534892082,
0.11297754943370819,
-0.025425318628549576,
-0.05274146795272827,
-0.08433614671230316,
0.0007525566616095603,
-0.0008491788757964969,
0.01627238467335701,
0.0038509287405759096,
-0.015451525337994099,
0.04093830659985542,
-0.10271159559488297,
0.01000907551497221,
-0.025362100452184677,
-0.029642241075634956,
0.006473163142800331,
-0.05001312494277954,
-0.06865253299474716,
0.10695711523294449,
0.033918190747499466,
-0.08123382925987244,
0.01918354257941246,
-0.07156049460172653,
0.009833762422204018,
0.07343882322311401,
-0.05123556777834892,
-0.005732466466724873,
0.001770963310264051,
0.035215169191360474,
-4.020863286768872e-8,
0.07692129909992218,
0.014833462424576283,
-0.045110657811164856,
-0.03534695506095886,
-0.0044953771866858006,
0.009220154024660587,
-0.005315235350281,
0.012065829709172249,
0.026989776641130447,
-0.08832047879695892,
0.03739209100604057,
0.033947911113500595,
0.00028099174960516393,
0.022353138774633408,
0.07247895747423172,
0.09482470899820328,
-0.02708359807729721,
-0.07435384392738342,
-0.00851934589445591,
0.029494592919945717,
-0.007659382186830044,
0.00431065633893013,
-0.0953577384352684,
0.005403297021985054,
-0.00011370260472176597,
0.011119000613689423,
0.04477210342884064,
0.023989491164684296,
0.016635047271847725,
-0.03253459930419922,
-0.018832571804523468,
0.005663605872541666,
0.10349245369434357,
0.05493682250380516,
-0.026533452793955803,
-0.06457678973674774,
-0.07324529439210892,
-0.0014036726206541061,
-0.06318589299917221,
-0.003154322039335966,
-0.07208147644996643,
-0.09288351237773895,
0.024370849132537842,
-0.036224059760570526,
0.015294838696718216,
0.09054366499185562,
-0.06361798942089081,
0.04000870883464813,
-0.058722805231809616,
-0.02813495136797428,
-0.07170186191797256,
-0.007214711979031563,
0.04467519745230675,
-0.12386677414178848,
-0.09871925413608551,
0.07480183243751526,
-0.10212099552154541,
-0.04111623764038086,
0.020097890868782997,
0.0009629304986447096,
0.0358777716755867,
0.006260229274630547,
-0.07407910376787186,
-0.05838416516780853
] | null | null | null | null | null | null | null | [
0.010431056842207909,
0.04514893889427185,
0.0035164356231689453,
-0.033635929226875305,
-0.07021324336528778,
-0.09138143062591553,
0.062020719051361084,
0.011181778274476528,
-0.001629848382435739,
0.01320800743997097,
-0.0057708509266376495,
0.0416945144534111,
-0.05633582919836044,
-0.007725424598902464,
0.1176278218626976,
0.023414742201566696,
0.040744394063949585,
0.050225093960762024,
-0.0971551313996315,
0.024986475706100464,
-0.042993370443582535,
-0.008952025324106216,
0.015553874894976616,
-0.008333809673786163,
0.09486082196235657,
-0.006938056088984013,
0.07691703736782074,
0.10494554042816162,
-0.028113648295402527,
-0.08302276581525803,
0.03396768867969513,
-0.01174154318869114,
-0.015293647535145283,
-0.049376435577869415,
0.03159833326935768,
0.015700435265898705,
0.015776602551341057,
0.05948597937822342,
0.01278842706233263,
0.05648041516542435,
-0.006805467419326305,
0.018338803201913834,
-0.019437670707702637,
0.009700903668999672,
-0.03213769942522049,
-0.11681151390075684,
0.07950793206691742,
-0.011974581517279148,
0.05388744920492172,
-0.0013200435787439346,
0.07430334389209747,
0.134748637676239,
-0.03485144302248955,
0.04826726019382477,
-0.09586434066295624,
0.0332668162882328,
-0.039909087121486664,
-0.008399941958487034,
-0.053758151829242706,
-0.027743017300963402,
-0.001088186982087791,
0.054200075566768646,
0.03830339387059212,
0.03324272856116295,
0.0018777695950120687,
-0.09777888655662537,
0.05096360296010971,
-0.03486828878521919,
0.013079232536256313,
-0.05445647984743118,
-0.01540347095578909,
-0.02865472622215748,
-0.04443296790122986,
-0.061717838048934937,
0.009028824977576733,
0.0474829263985157,
-0.06259484589099884,
0.09906680881977081,
0.0973372533917427,
-0.027751009911298752,
0.004560989793390036,
0.011051052249968052,
0.05836961418390274,
0.04332530498504639,
-0.07210755348205566,
0.048931773751974106,
-0.0383899100124836,
-0.008179878816008568,
-0.01065594982355833,
-0.022485854104161263,
-0.029316456988453865,
-0.04956270009279251,
0.0293312706053257,
0.058132000267505646,
0.0003201319486834109,
-0.01182208675891161,
0.07181292027235031,
-0.0003031754749827087,
0.022283287718892097,
0.01694336347281933,
0.09038226306438446,
0.01104935072362423,
-0.04709682986140251,
0.06101037561893463,
-0.008204459212720394,
0.01778622716665268,
0.07637809962034225,
0.07121936231851578,
-0.07373961061239243,
0.03365884721279144,
0.054349467158317566,
0.002714733825996518,
0.08240547776222229,
-0.043113693594932556,
0.001911017345264554,
0.12168505042791367,
0.018497301265597343,
0.012908373959362507,
0.04776715114712715,
-0.09917642921209335,
-0.007229966577142477,
-0.08120975643396378,
-0.04786563664674759,
0.11208752542734146,
0.03083711303770542,
0.024456201121211052,
0.048574093729257584,
-2.320619621420089e-34,
0.08539706468582153,
0.0905889943242073,
0.05737533047795296,
0.014121543616056442,
-0.012709748931229115,
-0.03313321992754936,
-0.056967705488204956,
-0.013312497176229954,
-0.13534516096115112,
0.025166282430291176,
-0.046478722244501114,
0.04124975576996803,
0.11738729476928711,
-0.02816827781498432,
-0.0020275781862437725,
-0.008411237969994545,
-0.07969720661640167,
0.03233516216278076,
0.0007413976709358394,
0.05563241243362427,
0.0272099357098341,
0.023690517991781235,
-0.03638383001089096,
0.06909123808145523,
-0.04477588087320328,
0.10290585458278656,
0.004249688237905502,
0.07149975001811981,
-0.05130549892783165,
-0.02132410742342472,
0.09955526143312454,
-0.014823692850768566,
0.0011652498506009579,
0.011880205012857914,
-0.02345866896212101,
-0.007136230822652578,
-0.05012845993041992,
0.02217790298163891,
-0.0032857651822268963,
-0.02168099954724312,
-0.0209187064319849,
0.00935384351760149,
-0.034287381917238235,
-0.08614819496870041,
0.00661974772810936,
-0.002509606070816517,
-0.036228202283382416,
-0.10668427497148514,
0.0859394371509552,
-0.0065472424030303955,
-0.014419500716030598,
-0.02216794714331627,
0.006100003607571125,
0.06933795660734177,
0.02015218324959278,
0.024299927055835724,
-0.03176083788275719,
-0.006858356297016144,
0.012717161327600479,
0.05840235576033592,
0.027299659326672554,
-0.016976526007056236,
0.017464404925704002,
0.06220857426524162,
-0.05426206439733505,
0.002747989958152175,
-0.02385290339589119,
-0.009433018043637276,
0.020072998479008675,
0.07661231607198715,
-0.0497235469520092,
0.07813795655965805,
0.029210008680820465,
-0.060247987508773804,
0.01853957213461399,
0.012411943636834621,
-0.04246407747268677,
-0.05678257346153259,
0.03761177882552147,
0.02034110203385353,
-0.015592587180435658,
-0.0442492701113224,
-0.0015943465987220407,
-0.05391442030668259,
-0.039665523916482925,
-0.05845507234334946,
-0.10398006439208984,
-0.02923602983355522,
-0.03270683437585831,
-0.0029408729169517756,
0.016166478395462036,
0.017417065799236298,
-0.02551277168095112,
-0.08830118179321289,
-0.049647700041532516,
-2.1952088841957438e-33,
0.0017700172029435635,
0.0007731705554760993,
-0.044479601085186005,
0.007424129173159599,
-0.0739397406578064,
0.06162609905004501,
0.014191573485732079,
0.04810303822159767,
-0.00006671484152320772,
0.06464534252882004,
0.014027835801243782,
0.07398270070552826,
-0.06406974792480469,
-0.02244378812611103,
0.012737336568534374,
-0.09796249121427536,
0.004618375096470118,
0.035994887351989746,
0.06475505232810974,
0.02950831688940525,
0.0058182054199278355,
-0.02815593034029007,
0.03354719281196594,
-0.04808832332491875,
0.03933243453502655,
-0.004143130965530872,
-0.006343654822558165,
-0.08464059233665466,
0.056384291499853134,
-0.038706813007593155,
0.0009321077377535403,
0.04007700830698013,
-0.023153549060225487,
0.03725156560540199,
-0.0382598340511322,
0.057188183069229126,
-0.05516656115651131,
0.04061980918049812,
-0.06083286553621292,
-0.029016122221946716,
-0.017526885494589806,
-0.010795895010232925,
-0.024986226111650467,
0.03828539699316025,
0.0729437917470932,
0.022820021957159042,
-0.0979851484298706,
0.07237831503152847,
0.029734695330262184,
-0.0307622067630291,
-0.030905254185199738,
0.01575840823352337,
0.05667196586728096,
0.04613249748945236,
-0.05044447258114815,
0.07143539190292358,
0.1306120604276657,
0.000026934934794553556,
0.058105938136577606,
0.014680870808660984,
-0.08284968137741089,
-0.11770567297935486,
0.021942034363746643,
-0.04030793905258179,
-0.04627364128828049,
-0.001155765843577683,
-0.04645375534892082,
0.11297754943370819,
-0.025425318628549576,
-0.05274146795272827,
-0.08433614671230316,
0.0007525566616095603,
-0.0008491788757964969,
0.01627238467335701,
0.0038509287405759096,
-0.015451525337994099,
0.04093830659985542,
-0.10271159559488297,
0.01000907551497221,
-0.025362100452184677,
-0.029642241075634956,
0.006473163142800331,
-0.05001312494277954,
-0.06865253299474716,
0.10695711523294449,
0.033918190747499466,
-0.08123382925987244,
0.01918354257941246,
-0.07156049460172653,
0.009833762422204018,
0.07343882322311401,
-0.05123556777834892,
-0.005732466466724873,
0.001770963310264051,
0.035215169191360474,
-4.020863286768872e-8,
0.07692129909992218,
0.014833462424576283,
-0.045110657811164856,
-0.03534695506095886,
-0.0044953771866858006,
0.009220154024660587,
-0.005315235350281,
0.012065829709172249,
0.026989776641130447,
-0.08832047879695892,
0.03739209100604057,
0.033947911113500595,
0.00028099174960516393,
0.022353138774633408,
0.07247895747423172,
0.09482470899820328,
-0.02708359807729721,
-0.07435384392738342,
-0.00851934589445591,
0.029494592919945717,
-0.007659382186830044,
0.00431065633893013,
-0.0953577384352684,
0.005403297021985054,
-0.00011370260472176597,
0.011119000613689423,
0.04477210342884064,
0.023989491164684296,
0.016635047271847725,
-0.03253459930419922,
-0.018832571804523468,
0.005663605872541666,
0.10349245369434357,
0.05493682250380516,
-0.026533452793955803,
-0.06457678973674774,
-0.07324529439210892,
-0.0014036726206541061,
-0.06318589299917221,
-0.003154322039335966,
-0.07208147644996643,
-0.09288351237773895,
0.024370849132537842,
-0.036224059760570526,
0.015294838696718216,
0.09054366499185562,
-0.06361798942089081,
0.04000870883464813,
-0.058722805231809616,
-0.02813495136797428,
-0.07170186191797256,
-0.007214711979031563,
0.04467519745230675,
-0.12386677414178848,
-0.09871925413608551,
0.07480183243751526,
-0.10212099552154541,
-0.04111623764038086,
0.020097890868782997,
0.0009629304986447096,
0.0358777716755867,
0.006260229274630547,
-0.07407910376787186,
-0.05838416516780853
] |
1401.0614 | Paola Gori-Giorgi | Andr\'e Mirtschink, C. J. Umrigar, John D. Morgan III, and Paola
Gori-Giorgi | Energy Density Functionals From the Strong-Coupling Limit Applied to the
Anions of the He Isoelectronic Series | Accepted for the JCP Special Topic Issue "Advances in DFT
Methodology" | null | 10.1063/1.4871018 | null | physics.chem-ph physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Anions and radicals are important for many applications including
environmental chemistry, semiconductors, and charge transfer, but are poorly
described by the available approximate energy density functionals. Here we test
an approximate exchange-correlation functional based on the exact
strong-coupling limit of the Hohenberg-Kohn functional on the prototypical case
of the He isoelectronic series with varying nuclear charge $Z<2$, which
includes weakly bound negative ions and a quantum phase transition at a
critical value of $Z$, representing a big challenge for density functional
theory. We use accurate wavefunction calculations to validate our results,
comparing energies and Kohn-Sham potentials, thus also providing useful
reference data close to and at the quantum phase transition. We show that our
functional is able to bind H$^-$ and to capture in general the physics of
loosely bound anions, with a tendency to strongly overbind that can be proven
mathematically. We also include corrections based on the uniform electron gas
which improve the results.
| [
{
"created": "Fri, 3 Jan 2014 09:38:14 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Apr 2014 10:49:56 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Mirtschink",
"André",
""
],
[
"Umrigar",
"C. J.",
""
],
[
"Morgan",
"John D.",
"III"
],
[
"Gori-Giorgi",
"Paola",
""
]
] | [
-0.10707506537437439,
0.05493488907814026,
-0.033080603927373886,
0.1271912157535553,
-0.02732182666659355,
-0.0003371986676938832,
0.0846191793680191,
0.002078735502436757,
0.010394680313766003,
-0.01254575327038765,
0.011489953845739365,
-0.05130613595247269,
-0.0650763213634491,
0.06034031882882118,
0.02133016847074032,
-0.03543379530310631,
0.026164570823311806,
-0.038506705313920975,
-0.035759806632995605,
0.04522208496928215,
-0.015546916984021664,
-0.017009999603033066,
0.029277373105287552,
-0.09644640982151031,
0.07280606031417847,
-0.053261179476976395,
0.0970829650759697,
0.006842300295829773,
-0.02822866104543209,
-0.04444360360503197,
0.10142391175031662,
-0.015698932111263275,
-0.05038014426827431,
-0.006792657542973757,
-0.017908280715346336,
0.12283001095056534,
0.03740857169032097,
-0.04758039489388466,
0.02295956201851368,
-0.05868811905384064,
0.022228024899959564,
0.0965084582567215,
0.010229568928480148,
0.04173768684267998,
-0.04473410174250603,
-0.07831987738609314,
0.08606717735528946,
-0.08395058661699295,
-0.03940519317984581,
-0.058161307126283646,
0.1158672571182251,
0.08473997563123703,
0.031730424612760544,
0.04314156249165535,
-0.07901614159345627,
0.042619723826646805,
0.03919632360339165,
0.006894537713378668,
-0.0281135942786932,
0.01575057953596115,
0.007520176470279694,
0.00225446792319417,
-0.049868375062942505,
-0.018732894212007523,
0.060375891625881195,
-0.03308990225195885,
0.07171480357646942,
-0.052714619785547256,
-0.011410270817577839,
0.04139873757958412,
-0.04870399087667465,
0.001577817602083087,
-0.03591139614582062,
-0.03127174824476242,
0.06018867343664169,
0.004049916286021471,
-0.03756806254386902,
-0.01197755616158247,
0.04624255746603012,
-0.10304377973079681,
-0.024590710178017616,
-0.0318574383854866,
0.009474259801208973,
-0.030124634504318237,
0.031687233597040176,
0.0983087494969368,
-0.1062164381146431,
-0.016223009675741196,
-0.03625921532511711,
-0.03319016098976135,
-0.03606759384274483,
-0.021899862214922905,
0.009121151641011238,
-0.004191043321043253,
0.03276895731687546,
0.06326185911893845,
0.07257281988859177,
0.03704594820737839,
0.009204592555761337,
0.018683450296521187,
0.10531571507453918,
0.12246651947498322,
-0.010536794550716877,
-0.09685494750738144,
-0.0033177901059389114,
-0.032978564500808716,
0.037196166813373566,
0.04325776547193527,
-0.04942154139280319,
0.07028369605541229,
0.019912149757146835,
-0.047266941517591476,
0.09035009145736694,
-0.05373948812484741,
-0.050453070551157,
0.07022573053836823,
-0.031250592321157455,
0.044644441455602646,
0.005354869179427624,
-0.02218831703066826,
-0.019816290587186813,
0.04584917426109314,
-0.06805826723575592,
0.09505848586559296,
0.0014005491975694895,
0.022480469197034836,
-0.07337583601474762,
1.286337498797579e-33,
0.06399396061897278,
-0.014155589044094086,
0.04608975723385811,
0.09019777923822403,
-0.052268583327531815,
-0.0449407659471035,
-0.007299243006855249,
-0.04993683472275734,
-0.10219426453113556,
0.0032325023785233498,
-0.05416370555758476,
0.024795133620500565,
0.03442004323005676,
-0.06690206378698349,
-0.031780216842889786,
0.007175554055720568,
-0.039082806557416916,
-0.0111205093562603,
0.04946157708764076,
0.025643788278102875,
0.03189811483025551,
0.002012539654970169,
0.010542537085711956,
0.018872974440455437,
0.009643125347793102,
0.022932186722755432,
0.08099767565727234,
-0.02275940030813217,
-0.05554639920592308,
0.005708807613700628,
-0.03949394449591637,
0.111776202917099,
-0.017616864293813705,
0.00937644112855196,
0.015748821198940277,
-0.011274612508714199,
-0.07278968393802643,
-0.007166222669184208,
-0.002454009372740984,
-0.09956122189760208,
-0.01615331508219242,
0.0226499754935503,
-0.020735645666718483,
0.01573052816092968,
0.01255303155630827,
0.01020197756588459,
0.17177020013332367,
-0.030571680516004562,
0.06674365699291229,
-0.026136837899684906,
-0.027185918763279915,
-0.003415966173633933,
-0.020130343735218048,
0.054792847484350204,
-0.03851660341024399,
-0.05493653193116188,
0.10773797333240509,
0.037302885204553604,
0.07641231268644333,
0.10564666986465454,
0.024563705548644066,
0.07208660989999771,
-0.047689780592918396,
0.008738196454942226,
-0.0615418516099453,
0.032717734575271606,
-0.11354847252368927,
-0.04710260033607483,
-0.01919870264828205,
0.0512978695333004,
0.01693095453083515,
0.0897502526640892,
0.10052482038736343,
-0.09279800206422806,
0.05002295970916748,
0.039102952927351,
-0.04761674255132675,
-0.12748311460018158,
-0.004717479459941387,
0.001234108698554337,
0.012652897275984287,
-0.09602443128824234,
0.046247586607933044,
0.017166247591376305,
-0.078511081635952,
-0.12934432923793793,
-0.08749841153621674,
0.011224729008972645,
-0.016878776252269745,
-0.006143728271126747,
0.0211339108645916,
-0.02501077577471733,
0.04358017072081566,
-0.09482266753911972,
-0.00763479620218277,
-3.388692706689428e-33,
-0.03531315177679062,
0.005899519193917513,
-0.03751709312200546,
0.0028722421266138554,
-0.003979917615652084,
0.0050031631253659725,
-0.07078851759433746,
0.02714250050485134,
0.05025109276175499,
-0.026954900473356247,
0.08249130845069885,
0.0026733027771115303,
0.016323678195476532,
-0.050835076719522476,
0.017844129353761673,
-0.02478019706904888,
-0.0006390413036569953,
0.026050882413983345,
0.15223848819732666,
0.020769955590367317,
0.02159779518842697,
0.012547451071441174,
-0.02993045747280121,
0.0714319497346878,
-0.04316486418247223,
0.0216077771037817,
0.044275831431150436,
-0.031209368258714676,
0.04883023351430893,
0.09970637410879135,
0.003453717101365328,
-0.0010301433503627777,
-0.01207435317337513,
-0.001534291310235858,
-0.0962623730301857,
-0.05510634928941727,
-0.0025714486837387085,
0.05055670067667961,
-0.040501419454813004,
0.03620333969593048,
0.04517756775021553,
-0.021355263888835907,
0.05607745423913002,
0.004878486506640911,
0.07920733839273453,
-0.037328384816646576,
-0.06721518188714981,
-0.006142949685454369,
-0.05338316038250923,
0.00029640254797413945,
0.01610998995602131,
-0.012934449128806591,
-0.03687620162963867,
-0.0032587945461273193,
-0.05627471208572388,
0.045264821499586105,
-0.013695824891328812,
0.009479239583015442,
0.10232744365930557,
-0.0941721573472023,
-0.05966588482260704,
0.002051410498097539,
0.053118519484996796,
0.014000395312905312,
-0.11159636080265045,
-0.049511443823575974,
-0.04957336559891701,
-0.04194294661283493,
0.047726765275001526,
-0.04204888269305229,
-0.06808453798294067,
-0.05089059844613075,
0.04324332997202873,
-0.016179213300347328,
-0.021745549514889717,
-0.06430354714393616,
0.09833882749080658,
-0.08859939873218536,
0.017116548493504524,
0.044940583407878876,
-0.013335632160305977,
0.04868503287434578,
0.012538773007690907,
-0.06686365604400635,
0.10683506727218628,
0.02601984515786171,
-0.097413070499897,
0.0069411383010447025,
-0.027723193168640137,
-0.041383352130651474,
0.013101288117468357,
-0.011431985534727573,
0.01204171497374773,
-0.01279966626316309,
0.022851957008242607,
-4.963319000239608e-8,
0.03466461971402168,
-0.018657324835658073,
0.005217394325882196,
0.027926230803132057,
0.031324420124292374,
0.03463579714298248,
0.036389801651239395,
-0.028446605429053307,
0.03212390094995499,
0.010870823636651039,
0.04326127842068672,
0.008149875327944756,
0.020152820274233818,
-0.06391631066799164,
0.005075222346931696,
0.026900025084614754,
-0.000529449200257659,
0.007361319847404957,
-0.06198955327272415,
0.016256315633654594,
-0.01508379727602005,
-0.0030381593387573957,
-0.012795492075383663,
-0.006825846154242754,
-0.03792787715792656,
-0.0006271712481975555,
-0.06646217405796051,
-0.03608417138457298,
0.0017514161299914122,
-0.024376630783081055,
-0.04401261731982231,
0.0024753890465945005,
0.032435912638902664,
0.07895846664905548,
-0.01272852998226881,
0.004578558262437582,
0.045714255422353745,
0.0225893035531044,
-0.04407048225402832,
0.04813346639275551,
-0.010551650077104568,
-0.05881676450371742,
0.012389862909913063,
0.06690503656864166,
-0.005834775045514107,
0.03020298108458519,
-0.016957327723503113,
0.00362970307469368,
0.04101942852139473,
0.04157857224345207,
-0.013326297514140606,
0.00907636247575283,
-0.056706465780735016,
-0.0399216003715992,
-0.04560713469982147,
0.004675083793699741,
-0.1094750240445137,
-0.012503617443144321,
-0.02034502848982811,
0.014817028306424618,
0.09425696730613708,
-0.04512498527765274,
-0.06781680136919022,
0.03140837699174881
] | null | null | null | null | null | null | null | [
-0.10707506537437439,
0.05493488907814026,
-0.033080603927373886,
0.1271912157535553,
-0.02732182666659355,
-0.0003371986676938832,
0.0846191793680191,
0.002078735502436757,
0.010394680313766003,
-0.01254575327038765,
0.011489953845739365,
-0.05130613595247269,
-0.0650763213634491,
0.06034031882882118,
0.02133016847074032,
-0.03543379530310631,
0.026164570823311806,
-0.038506705313920975,
-0.035759806632995605,
0.04522208496928215,
-0.015546916984021664,
-0.017009999603033066,
0.029277373105287552,
-0.09644640982151031,
0.07280606031417847,
-0.053261179476976395,
0.0970829650759697,
0.006842300295829773,
-0.02822866104543209,
-0.04444360360503197,
0.10142391175031662,
-0.015698932111263275,
-0.05038014426827431,
-0.006792657542973757,
-0.017908280715346336,
0.12283001095056534,
0.03740857169032097,
-0.04758039489388466,
0.02295956201851368,
-0.05868811905384064,
0.022228024899959564,
0.0965084582567215,
0.010229568928480148,
0.04173768684267998,
-0.04473410174250603,
-0.07831987738609314,
0.08606717735528946,
-0.08395058661699295,
-0.03940519317984581,
-0.058161307126283646,
0.1158672571182251,
0.08473997563123703,
0.031730424612760544,
0.04314156249165535,
-0.07901614159345627,
0.042619723826646805,
0.03919632360339165,
0.006894537713378668,
-0.0281135942786932,
0.01575057953596115,
0.007520176470279694,
0.00225446792319417,
-0.049868375062942505,
-0.018732894212007523,
0.060375891625881195,
-0.03308990225195885,
0.07171480357646942,
-0.052714619785547256,
-0.011410270817577839,
0.04139873757958412,
-0.04870399087667465,
0.001577817602083087,
-0.03591139614582062,
-0.03127174824476242,
0.06018867343664169,
0.004049916286021471,
-0.03756806254386902,
-0.01197755616158247,
0.04624255746603012,
-0.10304377973079681,
-0.024590710178017616,
-0.0318574383854866,
0.009474259801208973,
-0.030124634504318237,
0.031687233597040176,
0.0983087494969368,
-0.1062164381146431,
-0.016223009675741196,
-0.03625921532511711,
-0.03319016098976135,
-0.03606759384274483,
-0.021899862214922905,
0.009121151641011238,
-0.004191043321043253,
0.03276895731687546,
0.06326185911893845,
0.07257281988859177,
0.03704594820737839,
0.009204592555761337,
0.018683450296521187,
0.10531571507453918,
0.12246651947498322,
-0.010536794550716877,
-0.09685494750738144,
-0.0033177901059389114,
-0.032978564500808716,
0.037196166813373566,
0.04325776547193527,
-0.04942154139280319,
0.07028369605541229,
0.019912149757146835,
-0.047266941517591476,
0.09035009145736694,
-0.05373948812484741,
-0.050453070551157,
0.07022573053836823,
-0.031250592321157455,
0.044644441455602646,
0.005354869179427624,
-0.02218831703066826,
-0.019816290587186813,
0.04584917426109314,
-0.06805826723575592,
0.09505848586559296,
0.0014005491975694895,
0.022480469197034836,
-0.07337583601474762,
1.286337498797579e-33,
0.06399396061897278,
-0.014155589044094086,
0.04608975723385811,
0.09019777923822403,
-0.052268583327531815,
-0.0449407659471035,
-0.007299243006855249,
-0.04993683472275734,
-0.10219426453113556,
0.0032325023785233498,
-0.05416370555758476,
0.024795133620500565,
0.03442004323005676,
-0.06690206378698349,
-0.031780216842889786,
0.007175554055720568,
-0.039082806557416916,
-0.0111205093562603,
0.04946157708764076,
0.025643788278102875,
0.03189811483025551,
0.002012539654970169,
0.010542537085711956,
0.018872974440455437,
0.009643125347793102,
0.022932186722755432,
0.08099767565727234,
-0.02275940030813217,
-0.05554639920592308,
0.005708807613700628,
-0.03949394449591637,
0.111776202917099,
-0.017616864293813705,
0.00937644112855196,
0.015748821198940277,
-0.011274612508714199,
-0.07278968393802643,
-0.007166222669184208,
-0.002454009372740984,
-0.09956122189760208,
-0.01615331508219242,
0.0226499754935503,
-0.020735645666718483,
0.01573052816092968,
0.01255303155630827,
0.01020197756588459,
0.17177020013332367,
-0.030571680516004562,
0.06674365699291229,
-0.026136837899684906,
-0.027185918763279915,
-0.003415966173633933,
-0.020130343735218048,
0.054792847484350204,
-0.03851660341024399,
-0.05493653193116188,
0.10773797333240509,
0.037302885204553604,
0.07641231268644333,
0.10564666986465454,
0.024563705548644066,
0.07208660989999771,
-0.047689780592918396,
0.008738196454942226,
-0.0615418516099453,
0.032717734575271606,
-0.11354847252368927,
-0.04710260033607483,
-0.01919870264828205,
0.0512978695333004,
0.01693095453083515,
0.0897502526640892,
0.10052482038736343,
-0.09279800206422806,
0.05002295970916748,
0.039102952927351,
-0.04761674255132675,
-0.12748311460018158,
-0.004717479459941387,
0.001234108698554337,
0.012652897275984287,
-0.09602443128824234,
0.046247586607933044,
0.017166247591376305,
-0.078511081635952,
-0.12934432923793793,
-0.08749841153621674,
0.011224729008972645,
-0.016878776252269745,
-0.006143728271126747,
0.0211339108645916,
-0.02501077577471733,
0.04358017072081566,
-0.09482266753911972,
-0.00763479620218277,
-3.388692706689428e-33,
-0.03531315177679062,
0.005899519193917513,
-0.03751709312200546,
0.0028722421266138554,
-0.003979917615652084,
0.0050031631253659725,
-0.07078851759433746,
0.02714250050485134,
0.05025109276175499,
-0.026954900473356247,
0.08249130845069885,
0.0026733027771115303,
0.016323678195476532,
-0.050835076719522476,
0.017844129353761673,
-0.02478019706904888,
-0.0006390413036569953,
0.026050882413983345,
0.15223848819732666,
0.020769955590367317,
0.02159779518842697,
0.012547451071441174,
-0.02993045747280121,
0.0714319497346878,
-0.04316486418247223,
0.0216077771037817,
0.044275831431150436,
-0.031209368258714676,
0.04883023351430893,
0.09970637410879135,
0.003453717101365328,
-0.0010301433503627777,
-0.01207435317337513,
-0.001534291310235858,
-0.0962623730301857,
-0.05510634928941727,
-0.0025714486837387085,
0.05055670067667961,
-0.040501419454813004,
0.03620333969593048,
0.04517756775021553,
-0.021355263888835907,
0.05607745423913002,
0.004878486506640911,
0.07920733839273453,
-0.037328384816646576,
-0.06721518188714981,
-0.006142949685454369,
-0.05338316038250923,
0.00029640254797413945,
0.01610998995602131,
-0.012934449128806591,
-0.03687620162963867,
-0.0032587945461273193,
-0.05627471208572388,
0.045264821499586105,
-0.013695824891328812,
0.009479239583015442,
0.10232744365930557,
-0.0941721573472023,
-0.05966588482260704,
0.002051410498097539,
0.053118519484996796,
0.014000395312905312,
-0.11159636080265045,
-0.049511443823575974,
-0.04957336559891701,
-0.04194294661283493,
0.047726765275001526,
-0.04204888269305229,
-0.06808453798294067,
-0.05089059844613075,
0.04324332997202873,
-0.016179213300347328,
-0.021745549514889717,
-0.06430354714393616,
0.09833882749080658,
-0.08859939873218536,
0.017116548493504524,
0.044940583407878876,
-0.013335632160305977,
0.04868503287434578,
0.012538773007690907,
-0.06686365604400635,
0.10683506727218628,
0.02601984515786171,
-0.097413070499897,
0.0069411383010447025,
-0.027723193168640137,
-0.041383352130651474,
0.013101288117468357,
-0.011431985534727573,
0.01204171497374773,
-0.01279966626316309,
0.022851957008242607,
-4.963319000239608e-8,
0.03466461971402168,
-0.018657324835658073,
0.005217394325882196,
0.027926230803132057,
0.031324420124292374,
0.03463579714298248,
0.036389801651239395,
-0.028446605429053307,
0.03212390094995499,
0.010870823636651039,
0.04326127842068672,
0.008149875327944756,
0.020152820274233818,
-0.06391631066799164,
0.005075222346931696,
0.026900025084614754,
-0.000529449200257659,
0.007361319847404957,
-0.06198955327272415,
0.016256315633654594,
-0.01508379727602005,
-0.0030381593387573957,
-0.012795492075383663,
-0.006825846154242754,
-0.03792787715792656,
-0.0006271712481975555,
-0.06646217405796051,
-0.03608417138457298,
0.0017514161299914122,
-0.024376630783081055,
-0.04401261731982231,
0.0024753890465945005,
0.032435912638902664,
0.07895846664905548,
-0.01272852998226881,
0.004578558262437582,
0.045714255422353745,
0.0225893035531044,
-0.04407048225402832,
0.04813346639275551,
-0.010551650077104568,
-0.05881676450371742,
0.012389862909913063,
0.06690503656864166,
-0.005834775045514107,
0.03020298108458519,
-0.016957327723503113,
0.00362970307469368,
0.04101942852139473,
0.04157857224345207,
-0.013326297514140606,
0.00907636247575283,
-0.056706465780735016,
-0.0399216003715992,
-0.04560713469982147,
0.004675083793699741,
-0.1094750240445137,
-0.012503617443144321,
-0.02034502848982811,
0.014817028306424618,
0.09425696730613708,
-0.04512498527765274,
-0.06781680136919022,
0.03140837699174881
] |
1401.0615 | Anna-Lena Trautmann | Anna-Lena Trautmann | Message Encoding for Spread and Orbit Codes | Submitted to IEEE International Symposium on Information Theory 2014 | null | 10.1109/ISIT.2014.6875303 | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spread codes and orbit codes are special families of constant dimension
subspace codes. These codes have been well-studied for their error correction
capability and transmission rate, but the question of how to encode messages
has not been investigated. In this work we show how the message space can be
chosen for a given code and how message en- and decoding can be done.
| [
{
"created": "Fri, 3 Jan 2014 10:07:28 GMT",
"version": "v1"
}
] | 2014-09-03 | [
[
"Trautmann",
"Anna-Lena",
""
]
] | [
-0.00873291864991188,
-0.0225807037204504,
-0.02041839435696602,
-0.007508252281695604,
-0.038218580186367035,
0.0012615311425179243,
0.005331411492079496,
-0.0509691946208477,
-0.06063469499349594,
-0.0024760228116065264,
0.0833752378821373,
0.0767054408788681,
0.033266253769397736,
-0.08077996969223022,
-0.023468265309929848,
-0.037015244364738464,
-0.035843197256326675,
0.0056351423263549805,
-0.049191128462553024,
0.024197624996304512,
0.041898325085639954,
-0.03837357833981514,
-0.005835510790348053,
0.08137796819210052,
0.05185623839497566,
0.052241191267967224,
0.007055830676108599,
0.03051825985312462,
-0.016428956761956215,
0.03169073909521103,
0.1416410356760025,
0.06875310093164444,
0.056089531630277634,
0.07931160926818848,
-0.05015597119927406,
0.07187684625387192,
-0.04060498997569084,
-0.042299237102270126,
-0.04239675775170326,
0.06648287922143936,
-0.014258279465138912,
0.06367577612400055,
0.03166290745139122,
0.05294158682227135,
-0.01765662431716919,
-0.06680227816104889,
-0.046756893396377563,
0.034320615231990814,
-0.04438269883394241,
-0.1133313924074173,
0.0705866813659668,
0.037469204515218735,
-0.02218472771346569,
0.05232548341155052,
0.003637785790488124,
-0.13231828808784485,
-0.039416201412677765,
0.0017607121262699366,
-0.008583701215684414,
-0.0020536123774945736,
0.03391912579536438,
0.01603281870484352,
0.050651051104068756,
-0.03682386502623558,
-0.024697046726942062,
-0.024443628266453743,
-0.04087281599640846,
0.08273686468601227,
-0.10703429579734802,
-0.05027097463607788,
-0.08448649942874908,
-0.024867719039320946,
-0.07062672078609467,
0.048704635351896286,
0.0241558775305748,
-0.01184541080147028,
-0.01072094775736332,
0.02813747338950634,
0.021911581978201866,
0.012036477215588093,
0.01775003783404827,
-0.039333276450634,
-0.059305671602487564,
0.048301395028829575,
0.03074706345796585,
0.019489265978336334,
0.009991009719669819,
0.057815223932266235,
0.0014858947833999991,
-0.022915387526154518,
0.009873378090560436,
-0.07014396041631699,
0.0555892288684845,
0.12577132880687714,
-0.06460241228342056,
-0.03802165761590004,
-0.05678163841366768,
-0.017299769446253777,
0.029277246445417404,
0.0038962066173553467,
0.012960164807736874,
-0.057732582092285156,
-0.028953181579709053,
-0.015043365769088268,
-0.008654327131807804,
0.010361995548009872,
0.0753612369298935,
0.08203919976949692,
0.010217143222689629,
-0.04075704887509346,
0.035399213433265686,
0.03790692612528801,
-0.04268047958612442,
-0.017568936571478844,
-0.007534705568104982,
0.024544890969991684,
0.037173472344875336,
0.07241306453943253,
0.08752552419900894,
-0.06727994233369827,
0.008526678197085857,
-0.08053070306777954,
-0.011655853129923344,
-0.008357943035662174,
0.004624709952622652,
-0.015137163922190666,
0.001945151248946786,
7.867029003656776e-34,
-0.03850588575005531,
0.0495537631213665,
-0.04069029912352562,
0.08333822339773178,
-0.037295661866664886,
0.06667245179414749,
0.015695247799158096,
0.04747702181339264,
0.030611198395490646,
-0.02638757787644863,
-0.027113977819681168,
-0.012077000923454762,
0.06525881588459015,
0.03786255046725273,
0.022955162450671196,
0.030737310647964478,
0.04571562632918358,
0.016441509127616882,
0.021375875920057297,
-0.020825885236263275,
0.00779760954901576,
-0.023097194731235504,
-0.06238629296422005,
-0.060592781752347946,
0.02178630232810974,
0.042973827570676804,
-0.04327033832669258,
-0.14441420137882233,
-0.011163990013301373,
0.00773708987981081,
-0.039952944964170456,
0.017982443794608116,
0.04899929091334343,
0.020872173830866814,
0.05104923993349075,
-0.018322529271245003,
-0.04061279445886612,
0.007891093380749226,
-0.0569625124335289,
-0.058010101318359375,
0.04302718862891197,
-0.04637860879302025,
-0.030168406665325165,
-0.0764654353260994,
-0.007278088014572859,
-0.035551998764276505,
0.006406586617231369,
0.023484250530600548,
0.035278625786304474,
0.040896959602832794,
0.05116082727909088,
0.02410185895860195,
-0.06367836147546768,
-0.00048334395978599787,
0.06916763633489609,
-0.01842315122485161,
0.03725093975663185,
-0.041658803820610046,
0.03198711574077606,
0.1415865570306778,
-0.02521333657205105,
-0.0602082796394825,
0.09140121936798096,
-0.058883149176836014,
0.08019991219043732,
-0.04844813048839569,
-0.008245110511779785,
-0.12084191292524338,
0.007039964664727449,
0.048236433416604996,
-0.06580421328544617,
0.035362608730793,
-0.02897515520453453,
0.03593353554606438,
-0.021494442597031593,
-0.0852859690785408,
0.04017144441604614,
-0.018846802413463593,
-0.02752690576016903,
-0.012123564258217812,
-0.040243394672870636,
-0.04872770980000496,
-0.038009658455848694,
0.06421660631895065,
-0.01666095107793808,
-0.0004933784366585314,
-0.022983428090810776,
-0.03335015848278999,
-0.06489237397909164,
-0.000785491312853992,
-0.025623740628361702,
-0.11467894166707993,
0.023764759302139282,
-0.018148178234696388,
0.04031108692288399,
-1.21113460485525e-33,
-0.00958777591586113,
0.09241629391908646,
-0.06647784262895584,
-0.01656166836619377,
-0.0678984522819519,
-0.05409645289182663,
0.046829767525196075,
0.07581230252981186,
-0.04200299456715584,
0.07853025943040848,
-0.06735178828239441,
-0.01619010604918003,
-0.011279558762907982,
0.013867109082639217,
0.10152123123407364,
0.022033505141735077,
0.020506929606199265,
0.008595781400799751,
0.01920482888817787,
0.0026562584098428488,
0.06354090571403503,
0.01913999766111374,
0.00862099602818489,
0.019938303157687187,
0.053314294666051865,
0.052692681550979614,
0.00787425972521305,
0.10264846682548523,
0.05873335152864456,
-0.023394806310534477,
0.024684589356184006,
-0.028353534638881683,
-0.0451844185590744,
0.018016846850514412,
0.0008391050505451858,
-0.03489965200424194,
0.05598975718021393,
0.03718424588441849,
-0.014611858874559402,
0.07699484378099442,
0.0038921411614865065,
0.01917080767452717,
-0.0005265302606858313,
0.10186570882797241,
-0.005671233870089054,
-0.06140120327472687,
-0.013328931294381618,
0.04476292058825493,
0.004778383299708366,
0.021377168595790863,
0.04777628183364868,
-0.026594726368784904,
0.04610900208353996,
0.0691622719168663,
0.029409609735012054,
0.040565118193626404,
-0.06955759972333908,
0.0604659803211689,
0.036414407193660736,
-0.05251092463731766,
0.0028467043302953243,
-0.13985253870487213,
0.10449326783418655,
-0.0007260432466864586,
-0.016705047339200974,
-0.12047811597585678,
-0.014422879554331303,
-0.02954845316708088,
-0.07450134307146072,
0.0350647047162056,
0.004893366247415543,
-0.09010069072246552,
-0.08341038227081299,
0.01497519202530384,
0.011138572357594967,
0.002700693439692259,
0.027269823476672173,
-0.04189714416861534,
-0.0015267201233655214,
0.05550253391265869,
-0.027789419516921043,
0.018905412405729294,
0.014888187870383263,
0.08423653990030289,
-0.003081471426412463,
0.05545555427670479,
0.07027275115251541,
-0.04167603328824043,
-0.035803958773612976,
-0.08152163028717041,
-0.0018689563730731606,
0.05686463788151741,
0.055327534675598145,
0.029438091441988945,
0.013152125291526318,
-3.234222134551601e-8,
-0.12600268423557281,
-0.053638916462659836,
-0.09631914645433426,
-0.04047773778438568,
0.024987367913126945,
-0.057484641671180725,
-0.027291573584079742,
-0.013768664561212063,
0.004216472152620554,
-0.039027824997901917,
0.062312208116054535,
0.010166286490857601,
-0.011622312478721142,
-0.0075623770244419575,
-0.009816288948059082,
-0.015084203332662582,
-0.09285575151443481,
-0.08609287440776825,
-0.010056383907794952,
0.11718373745679855,
0.0002994034148287028,
0.03516747057437897,
-0.018290875479578972,
-0.02543916366994381,
-0.05810130760073662,
-0.015483012422919273,
0.06718645244836807,
0.06403602659702301,
0.026603572070598602,
0.017193503677845,
0.06126141548156738,
-0.014206758700311184,
0.116457499563694,
-0.007782964501529932,
-0.1071416512131691,
-0.013973393477499485,
0.017008792608976364,
-0.07906545698642731,
-0.011183486320078373,
0.01383959036320448,
0.08136750757694244,
-0.0008493673522025347,
-0.013426815159618855,
-0.007381207775324583,
0.02252197265625,
0.03894880414009094,
0.1260615438222885,
-0.00927730929106474,
-0.06015598773956299,
0.026098258793354034,
0.03771231323480606,
0.0268793236464262,
-0.13799668848514557,
-0.017438523471355438,
-0.04727231711149216,
-0.052914682775735855,
-0.045364152640104294,
-0.03530110418796539,
0.1072654202580452,
0.023755358532071114,
-0.09972435235977173,
0.1207464262843132,
-0.041051726788282394,
-0.030694562941789627
] | null | null | null | null | null | null | null | [
-0.00873291864991188,
-0.0225807037204504,
-0.02041839435696602,
-0.007508252281695604,
-0.038218580186367035,
0.0012615311425179243,
0.005331411492079496,
-0.0509691946208477,
-0.06063469499349594,
-0.0024760228116065264,
0.0833752378821373,
0.0767054408788681,
0.033266253769397736,
-0.08077996969223022,
-0.023468265309929848,
-0.037015244364738464,
-0.035843197256326675,
0.0056351423263549805,
-0.049191128462553024,
0.024197624996304512,
0.041898325085639954,
-0.03837357833981514,
-0.005835510790348053,
0.08137796819210052,
0.05185623839497566,
0.052241191267967224,
0.007055830676108599,
0.03051825985312462,
-0.016428956761956215,
0.03169073909521103,
0.1416410356760025,
0.06875310093164444,
0.056089531630277634,
0.07931160926818848,
-0.05015597119927406,
0.07187684625387192,
-0.04060498997569084,
-0.042299237102270126,
-0.04239675775170326,
0.06648287922143936,
-0.014258279465138912,
0.06367577612400055,
0.03166290745139122,
0.05294158682227135,
-0.01765662431716919,
-0.06680227816104889,
-0.046756893396377563,
0.034320615231990814,
-0.04438269883394241,
-0.1133313924074173,
0.0705866813659668,
0.037469204515218735,
-0.02218472771346569,
0.05232548341155052,
0.003637785790488124,
-0.13231828808784485,
-0.039416201412677765,
0.0017607121262699366,
-0.008583701215684414,
-0.0020536123774945736,
0.03391912579536438,
0.01603281870484352,
0.050651051104068756,
-0.03682386502623558,
-0.024697046726942062,
-0.024443628266453743,
-0.04087281599640846,
0.08273686468601227,
-0.10703429579734802,
-0.05027097463607788,
-0.08448649942874908,
-0.024867719039320946,
-0.07062672078609467,
0.048704635351896286,
0.0241558775305748,
-0.01184541080147028,
-0.01072094775736332,
0.02813747338950634,
0.021911581978201866,
0.012036477215588093,
0.01775003783404827,
-0.039333276450634,
-0.059305671602487564,
0.048301395028829575,
0.03074706345796585,
0.019489265978336334,
0.009991009719669819,
0.057815223932266235,
0.0014858947833999991,
-0.022915387526154518,
0.009873378090560436,
-0.07014396041631699,
0.0555892288684845,
0.12577132880687714,
-0.06460241228342056,
-0.03802165761590004,
-0.05678163841366768,
-0.017299769446253777,
0.029277246445417404,
0.0038962066173553467,
0.012960164807736874,
-0.057732582092285156,
-0.028953181579709053,
-0.015043365769088268,
-0.008654327131807804,
0.010361995548009872,
0.0753612369298935,
0.08203919976949692,
0.010217143222689629,
-0.04075704887509346,
0.035399213433265686,
0.03790692612528801,
-0.04268047958612442,
-0.017568936571478844,
-0.007534705568104982,
0.024544890969991684,
0.037173472344875336,
0.07241306453943253,
0.08752552419900894,
-0.06727994233369827,
0.008526678197085857,
-0.08053070306777954,
-0.011655853129923344,
-0.008357943035662174,
0.004624709952622652,
-0.015137163922190666,
0.001945151248946786,
7.867029003656776e-34,
-0.03850588575005531,
0.0495537631213665,
-0.04069029912352562,
0.08333822339773178,
-0.037295661866664886,
0.06667245179414749,
0.015695247799158096,
0.04747702181339264,
0.030611198395490646,
-0.02638757787644863,
-0.027113977819681168,
-0.012077000923454762,
0.06525881588459015,
0.03786255046725273,
0.022955162450671196,
0.030737310647964478,
0.04571562632918358,
0.016441509127616882,
0.021375875920057297,
-0.020825885236263275,
0.00779760954901576,
-0.023097194731235504,
-0.06238629296422005,
-0.060592781752347946,
0.02178630232810974,
0.042973827570676804,
-0.04327033832669258,
-0.14441420137882233,
-0.011163990013301373,
0.00773708987981081,
-0.039952944964170456,
0.017982443794608116,
0.04899929091334343,
0.020872173830866814,
0.05104923993349075,
-0.018322529271245003,
-0.04061279445886612,
0.007891093380749226,
-0.0569625124335289,
-0.058010101318359375,
0.04302718862891197,
-0.04637860879302025,
-0.030168406665325165,
-0.0764654353260994,
-0.007278088014572859,
-0.035551998764276505,
0.006406586617231369,
0.023484250530600548,
0.035278625786304474,
0.040896959602832794,
0.05116082727909088,
0.02410185895860195,
-0.06367836147546768,
-0.00048334395978599787,
0.06916763633489609,
-0.01842315122485161,
0.03725093975663185,
-0.041658803820610046,
0.03198711574077606,
0.1415865570306778,
-0.02521333657205105,
-0.0602082796394825,
0.09140121936798096,
-0.058883149176836014,
0.08019991219043732,
-0.04844813048839569,
-0.008245110511779785,
-0.12084191292524338,
0.007039964664727449,
0.048236433416604996,
-0.06580421328544617,
0.035362608730793,
-0.02897515520453453,
0.03593353554606438,
-0.021494442597031593,
-0.0852859690785408,
0.04017144441604614,
-0.018846802413463593,
-0.02752690576016903,
-0.012123564258217812,
-0.040243394672870636,
-0.04872770980000496,
-0.038009658455848694,
0.06421660631895065,
-0.01666095107793808,
-0.0004933784366585314,
-0.022983428090810776,
-0.03335015848278999,
-0.06489237397909164,
-0.000785491312853992,
-0.025623740628361702,
-0.11467894166707993,
0.023764759302139282,
-0.018148178234696388,
0.04031108692288399,
-1.21113460485525e-33,
-0.00958777591586113,
0.09241629391908646,
-0.06647784262895584,
-0.01656166836619377,
-0.0678984522819519,
-0.05409645289182663,
0.046829767525196075,
0.07581230252981186,
-0.04200299456715584,
0.07853025943040848,
-0.06735178828239441,
-0.01619010604918003,
-0.011279558762907982,
0.013867109082639217,
0.10152123123407364,
0.022033505141735077,
0.020506929606199265,
0.008595781400799751,
0.01920482888817787,
0.0026562584098428488,
0.06354090571403503,
0.01913999766111374,
0.00862099602818489,
0.019938303157687187,
0.053314294666051865,
0.052692681550979614,
0.00787425972521305,
0.10264846682548523,
0.05873335152864456,
-0.023394806310534477,
0.024684589356184006,
-0.028353534638881683,
-0.0451844185590744,
0.018016846850514412,
0.0008391050505451858,
-0.03489965200424194,
0.05598975718021393,
0.03718424588441849,
-0.014611858874559402,
0.07699484378099442,
0.0038921411614865065,
0.01917080767452717,
-0.0005265302606858313,
0.10186570882797241,
-0.005671233870089054,
-0.06140120327472687,
-0.013328931294381618,
0.04476292058825493,
0.004778383299708366,
0.021377168595790863,
0.04777628183364868,
-0.026594726368784904,
0.04610900208353996,
0.0691622719168663,
0.029409609735012054,
0.040565118193626404,
-0.06955759972333908,
0.0604659803211689,
0.036414407193660736,
-0.05251092463731766,
0.0028467043302953243,
-0.13985253870487213,
0.10449326783418655,
-0.0007260432466864586,
-0.016705047339200974,
-0.12047811597585678,
-0.014422879554331303,
-0.02954845316708088,
-0.07450134307146072,
0.0350647047162056,
0.004893366247415543,
-0.09010069072246552,
-0.08341038227081299,
0.01497519202530384,
0.011138572357594967,
0.002700693439692259,
0.027269823476672173,
-0.04189714416861534,
-0.0015267201233655214,
0.05550253391265869,
-0.027789419516921043,
0.018905412405729294,
0.014888187870383263,
0.08423653990030289,
-0.003081471426412463,
0.05545555427670479,
0.07027275115251541,
-0.04167603328824043,
-0.035803958773612976,
-0.08152163028717041,
-0.0018689563730731606,
0.05686463788151741,
0.055327534675598145,
0.029438091441988945,
0.013152125291526318,
-3.234222134551601e-8,
-0.12600268423557281,
-0.053638916462659836,
-0.09631914645433426,
-0.04047773778438568,
0.024987367913126945,
-0.057484641671180725,
-0.027291573584079742,
-0.013768664561212063,
0.004216472152620554,
-0.039027824997901917,
0.062312208116054535,
0.010166286490857601,
-0.011622312478721142,
-0.0075623770244419575,
-0.009816288948059082,
-0.015084203332662582,
-0.09285575151443481,
-0.08609287440776825,
-0.010056383907794952,
0.11718373745679855,
0.0002994034148287028,
0.03516747057437897,
-0.018290875479578972,
-0.02543916366994381,
-0.05810130760073662,
-0.015483012422919273,
0.06718645244836807,
0.06403602659702301,
0.026603572070598602,
0.017193503677845,
0.06126141548156738,
-0.014206758700311184,
0.116457499563694,
-0.007782964501529932,
-0.1071416512131691,
-0.013973393477499485,
0.017008792608976364,
-0.07906545698642731,
-0.011183486320078373,
0.01383959036320448,
0.08136750757694244,
-0.0008493673522025347,
-0.013426815159618855,
-0.007381207775324583,
0.02252197265625,
0.03894880414009094,
0.1260615438222885,
-0.00927730929106474,
-0.06015598773956299,
0.026098258793354034,
0.03771231323480606,
0.0268793236464262,
-0.13799668848514557,
-0.017438523471355438,
-0.04727231711149216,
-0.052914682775735855,
-0.045364152640104294,
-0.03530110418796539,
0.1072654202580452,
0.023755358532071114,
-0.09972435235977173,
0.1207464262843132,
-0.041051726788282394,
-0.030694562941789627
] |
1401.0616 | Colin Cotter | C.J. Cotter and A.T.T. McRae | Compatible finite element methods for numerical weather prediction | To appear in ECMWF Seminar proceedings 2014 | null | null | null | math.NA physics.ao-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article takes the form of a tutorial on the use of a particular class of
mixed finite element methods, which can be thought of as the finite element
extension of the C-grid staggered finite difference method. The class is often
referred to as compatible finite elements, mimetic finite elements, discrete
differential forms or finite element exterior calculus. We provide an
elementary introduction in the case of the one-dimensional wave equation,
before summarising recent results in applications to the rotating shallow water
equations on the sphere, before taking an outlook towards applications in
three-dimensional compressible dynamical cores.
| [
{
"created": "Fri, 3 Jan 2014 10:20:07 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Cotter",
"C. J.",
""
],
[
"McRae",
"A. T. T.",
""
]
] | [
-0.09821156412363052,
0.10546001046895981,
0.07617495208978653,
0.015676267445087433,
-0.030149122700095177,
-0.053557030856609344,
-0.073854461312294,
-0.04238668829202652,
-0.06570956856012344,
-0.012593010440468788,
-0.021102404221892357,
-0.028593553230166435,
0.002454238710924983,
-0.06880002468824387,
0.014563268981873989,
-0.06602267920970917,
-0.10520946979522705,
0.029132096096873283,
0.008982996456325054,
-0.025209249928593636,
-0.033868208527565,
0.0012125256471335888,
-0.054697245359420776,
0.014314512722194195,
0.034195564687252045,
0.03875699266791344,
0.035429853945970535,
0.0395934171974659,
0.09464120864868164,
0.053302913904190063,
0.061740677803754807,
0.00108683155849576,
0.006381423212587833,
-0.02514691837131977,
-0.09580247104167938,
-0.01038064993917942,
0.016024800017476082,
0.059516921639442444,
-0.15518389642238617,
0.03657747060060501,
0.008704136125743389,
0.044982850551605225,
0.051600828766822815,
0.07160231471061707,
-0.0032924169208854437,
-0.042442820966243744,
-0.055339254438877106,
-0.048999130725860596,
-0.01736074686050415,
0.012335819192230701,
-0.016237057745456696,
-0.010333738289773464,
-0.0394502617418766,
0.0008588676573708653,
-0.03939252719283104,
-0.07273025810718536,
0.051359083503484726,
0.03083534725010395,
-0.008962827734649181,
-0.07702498883008957,
0.013687475584447384,
-0.06625141948461533,
0.0177458468824625,
-0.01882818713784218,
-0.013586010783910751,
-0.047603704035282135,
-0.03029218688607216,
-0.009879473596811295,
-0.012596742250025272,
0.04326105862855911,
-0.002363647101446986,
-0.03459905833005905,
0.04427691549062729,
-0.0517839714884758,
-0.015208499506115913,
-0.014013451524078846,
0.027868881821632385,
-0.010876771993935108,
-0.046901147812604904,
0.06668750196695328,
0.003419926157221198,
0.013421754352748394,
-0.09900776296854019,
-0.12132531404495239,
-0.10838785767555237,
0.053879547864198685,
-0.1291465163230896,
-0.031154176220297813,
-0.0549316331744194,
-0.026871586218476295,
0.08713504672050476,
0.03922978416085243,
0.0007762216264382005,
-0.01571684144437313,
0.0481308177113533,
-0.0208707507699728,
-0.008038601838052273,
0.03046794980764389,
0.036798350512981415,
0.03355168178677559,
-0.03298032656311989,
-0.02915470115840435,
0.00464217085391283,
0.07436051219701767,
-0.01713656075298786,
-0.06191988289356232,
0.005690152756869793,
-0.016993222758173943,
-0.030419718474149704,
-0.062170252203941345,
-0.025115054100751877,
-0.03276742994785309,
-0.04985127970576286,
0.03665326535701752,
0.021061530336737633,
-0.11927315592765808,
0.05391688272356987,
-0.054140787571668625,
0.1475086659193039,
-0.024794384837150574,
0.09388493746519089,
-0.048866357654333115,
-0.020513329654932022,
0.03541898727416992,
0.017321202903985977,
0.0219036266207695,
0.026056550443172455,
-5.424663983335e-34,
0.10143262147903442,
0.06021656468510628,
-0.017857734113931656,
0.08802992850542068,
0.037891995161771774,
0.028489157557487488,
0.05519630387425423,
0.03530489280819893,
0.035213083028793335,
0.07415200769901276,
-0.08813272416591644,
0.15026845037937164,
-0.0037338228430598974,
0.011073024943470955,
-0.0031777466647326946,
-0.040034692734479904,
0.03477368876338005,
-0.0051139178685843945,
-0.028248216956853867,
0.018201930448412895,
0.08976124972105026,
-0.027324309572577477,
0.010121293365955353,
-0.04613027349114418,
-0.04308747872710228,
-0.05994536727666855,
-0.03012014739215374,
0.012344629503786564,
0.02400379627943039,
-0.022845350205898285,
-0.02633165754377842,
-0.03224888816475868,
-0.04698280990123749,
0.034354109317064285,
0.07660418748855591,
0.038648199290037155,
0.011898648925125599,
0.01872721128165722,
-0.04710148274898529,
-0.014250550419092178,
-0.08347059041261673,
-0.03778030350804329,
0.10120290517807007,
0.032484572380781174,
-0.011369406245648861,
0.014108714647591114,
-0.04056902602314949,
0.02251250296831131,
0.0304103996604681,
0.027936311438679695,
0.02770265005528927,
0.07175660878419876,
-0.05024021491408348,
0.003424193011596799,
0.015851883217692375,
0.034370385110378265,
-0.0035290815867483616,
0.021765785291790962,
0.004796196706593037,
-0.022536631673574448,
-0.053536273539066315,
0.03721905127167702,
0.05413667485117912,
0.02306864596903324,
0.025844797492027283,
0.048514436930418015,
-0.0178151223808527,
-0.02721499651670456,
-0.02506837621331215,
-0.0940561592578888,
-0.02813095599412918,
0.05413547158241272,
0.02219022810459137,
-0.019491128623485565,
0.04283216968178749,
-0.11097941547632217,
0.039980173110961914,
-0.04277637600898743,
-0.020093483850359917,
-0.0813254714012146,
-0.02430892363190651,
0.03773028776049614,
0.011791154742240906,
0.04385017976164818,
0.015478885732591152,
0.07945563644170761,
-0.05064591020345688,
0.03283459320664406,
0.025864524766802788,
-0.07769080996513367,
-0.0852157324552536,
-0.013450653292238712,
0.1470186859369278,
-0.024750972166657448,
0.04782041162252426,
-2.6114833925745788e-33,
-0.05698363855481148,
-0.038320254534482956,
-0.07121796160936356,
0.007395431865006685,
0.05104187875986099,
0.044481679797172546,
0.03653186932206154,
0.05131790041923523,
0.04518967866897583,
-0.10649359226226807,
0.028792254626750946,
0.01249686535447836,
0.024815913289785385,
0.09300599247217178,
0.027070410549640656,
0.028792204335331917,
-0.022447479888796806,
-0.0921313688158989,
-0.024936383590102196,
0.03728148713707924,
-0.0004376948345452547,
-0.033352214843034744,
0.074605792760849,
-0.015724025666713715,
-0.030415460467338562,
-0.057503942400217056,
0.013030325062572956,
-0.0034739344846457243,
0.03821270540356636,
0.0005418199580162764,
-0.014964664354920387,
0.008628913201391697,
0.030842239037156105,
0.0130541380494833,
-0.008175001479685307,
0.035101573914289474,
-0.031479038298130035,
0.05821985378861427,
0.04892181232571602,
0.005684296600520611,
-0.07771653681993484,
-0.051717497408390045,
0.11696857213973999,
-0.0024715466424822807,
0.00040998405893333256,
0.0649268627166748,
0.03248276934027672,
-0.06126256287097931,
-0.05568891018629074,
0.07713980972766876,
-0.0461849607527256,
-0.035436179488897324,
-0.002149107400327921,
0.05477252975106239,
0.027518754824995995,
0.031774766743183136,
0.0004328962240833789,
0.024874787777662277,
-0.0023417784832417965,
-0.029643148183822632,
-0.017673475667834282,
-0.00985443964600563,
0.07646610587835312,
0.009626529179513454,
0.05291195586323738,
0.04211754724383354,
-0.10704907774925232,
-0.08959726244211197,
-0.056673068553209305,
0.03891513869166374,
-0.06720507144927979,
-0.041924603283405304,
-0.015207117423415184,
0.00602637929841876,
0.04574596881866455,
-0.11432518810033798,
0.09105457365512848,
0.04335113614797592,
-0.04503709077835083,
0.036134593188762665,
0.045567646622657776,
0.09269068390130997,
-0.0018783068517223,
-0.022983530536293983,
-0.04627064988017082,
-0.05476752296090126,
0.018541544675827026,
-0.02053052932024002,
-0.03665696829557419,
0.0019960249774158,
0.04709090664982796,
0.03488248586654663,
0.04805053025484085,
-0.011889985762536526,
0.013791998848319054,
-4.410873444271601e-8,
-0.03192654997110367,
-0.02388223446905613,
-0.018880633637309074,
-0.0013352201785892248,
0.04997897520661354,
-0.024316202849149704,
-0.04351312294602394,
-0.045842479914426804,
0.06342657655477524,
-0.08007492125034332,
0.00827392190694809,
-0.04580143839120865,
0.01907246932387352,
-0.0847567692399025,
-0.06725116819143295,
0.047101158648729324,
-0.04854801669716835,
-0.03347771242260933,
0.035557206720113754,
0.02054702490568161,
-0.07298740744590759,
0.014369495213031769,
-0.050072066485881805,
0.04521573707461357,
0.030801968649029732,
0.013595244847238064,
-0.02126443386077881,
-0.07019992172718048,
0.08675716072320938,
0.006356330122798681,
-0.04431262984871864,
0.03399905562400818,
0.06763061881065369,
0.10008790343999863,
-0.03543907403945923,
0.039305929094552994,
0.05897833779454231,
0.06839708238840103,
-0.014332798309624195,
-0.01956932060420513,
-0.08818266540765762,
0.09746120870113373,
0.03227697312831879,
-0.07120092958211899,
0.05964997783303261,
0.0658126249909401,
-0.0675695538520813,
0.005406698677688837,
0.011672906577587128,
0.06717482954263687,
-0.07049825042486191,
0.08604787290096283,
0.04191456362605095,
0.05580795556306839,
0.11159639805555344,
-0.011054902337491512,
-0.03026198409497738,
-0.07895813882350922,
0.049649618566036224,
-0.043908197432756424,
-0.07038203626871109,
0.007706626318395138,
-0.05741714686155319,
0.0699143335223198
] | null | null | null | null | null | null | null | [
-0.09821156412363052,
0.10546001046895981,
0.07617495208978653,
0.015676267445087433,
-0.030149122700095177,
-0.053557030856609344,
-0.073854461312294,
-0.04238668829202652,
-0.06570956856012344,
-0.012593010440468788,
-0.021102404221892357,
-0.028593553230166435,
0.002454238710924983,
-0.06880002468824387,
0.014563268981873989,
-0.06602267920970917,
-0.10520946979522705,
0.029132096096873283,
0.008982996456325054,
-0.025209249928593636,
-0.033868208527565,
0.0012125256471335888,
-0.054697245359420776,
0.014314512722194195,
0.034195564687252045,
0.03875699266791344,
0.035429853945970535,
0.0395934171974659,
0.09464120864868164,
0.053302913904190063,
0.061740677803754807,
0.00108683155849576,
0.006381423212587833,
-0.02514691837131977,
-0.09580247104167938,
-0.01038064993917942,
0.016024800017476082,
0.059516921639442444,
-0.15518389642238617,
0.03657747060060501,
0.008704136125743389,
0.044982850551605225,
0.051600828766822815,
0.07160231471061707,
-0.0032924169208854437,
-0.042442820966243744,
-0.055339254438877106,
-0.048999130725860596,
-0.01736074686050415,
0.012335819192230701,
-0.016237057745456696,
-0.010333738289773464,
-0.0394502617418766,
0.0008588676573708653,
-0.03939252719283104,
-0.07273025810718536,
0.051359083503484726,
0.03083534725010395,
-0.008962827734649181,
-0.07702498883008957,
0.013687475584447384,
-0.06625141948461533,
0.0177458468824625,
-0.01882818713784218,
-0.013586010783910751,
-0.047603704035282135,
-0.03029218688607216,
-0.009879473596811295,
-0.012596742250025272,
0.04326105862855911,
-0.002363647101446986,
-0.03459905833005905,
0.04427691549062729,
-0.0517839714884758,
-0.015208499506115913,
-0.014013451524078846,
0.027868881821632385,
-0.010876771993935108,
-0.046901147812604904,
0.06668750196695328,
0.003419926157221198,
0.013421754352748394,
-0.09900776296854019,
-0.12132531404495239,
-0.10838785767555237,
0.053879547864198685,
-0.1291465163230896,
-0.031154176220297813,
-0.0549316331744194,
-0.026871586218476295,
0.08713504672050476,
0.03922978416085243,
0.0007762216264382005,
-0.01571684144437313,
0.0481308177113533,
-0.0208707507699728,
-0.008038601838052273,
0.03046794980764389,
0.036798350512981415,
0.03355168178677559,
-0.03298032656311989,
-0.02915470115840435,
0.00464217085391283,
0.07436051219701767,
-0.01713656075298786,
-0.06191988289356232,
0.005690152756869793,
-0.016993222758173943,
-0.030419718474149704,
-0.062170252203941345,
-0.025115054100751877,
-0.03276742994785309,
-0.04985127970576286,
0.03665326535701752,
0.021061530336737633,
-0.11927315592765808,
0.05391688272356987,
-0.054140787571668625,
0.1475086659193039,
-0.024794384837150574,
0.09388493746519089,
-0.048866357654333115,
-0.020513329654932022,
0.03541898727416992,
0.017321202903985977,
0.0219036266207695,
0.026056550443172455,
-5.424663983335e-34,
0.10143262147903442,
0.06021656468510628,
-0.017857734113931656,
0.08802992850542068,
0.037891995161771774,
0.028489157557487488,
0.05519630387425423,
0.03530489280819893,
0.035213083028793335,
0.07415200769901276,
-0.08813272416591644,
0.15026845037937164,
-0.0037338228430598974,
0.011073024943470955,
-0.0031777466647326946,
-0.040034692734479904,
0.03477368876338005,
-0.0051139178685843945,
-0.028248216956853867,
0.018201930448412895,
0.08976124972105026,
-0.027324309572577477,
0.010121293365955353,
-0.04613027349114418,
-0.04308747872710228,
-0.05994536727666855,
-0.03012014739215374,
0.012344629503786564,
0.02400379627943039,
-0.022845350205898285,
-0.02633165754377842,
-0.03224888816475868,
-0.04698280990123749,
0.034354109317064285,
0.07660418748855591,
0.038648199290037155,
0.011898648925125599,
0.01872721128165722,
-0.04710148274898529,
-0.014250550419092178,
-0.08347059041261673,
-0.03778030350804329,
0.10120290517807007,
0.032484572380781174,
-0.011369406245648861,
0.014108714647591114,
-0.04056902602314949,
0.02251250296831131,
0.0304103996604681,
0.027936311438679695,
0.02770265005528927,
0.07175660878419876,
-0.05024021491408348,
0.003424193011596799,
0.015851883217692375,
0.034370385110378265,
-0.0035290815867483616,
0.021765785291790962,
0.004796196706593037,
-0.022536631673574448,
-0.053536273539066315,
0.03721905127167702,
0.05413667485117912,
0.02306864596903324,
0.025844797492027283,
0.048514436930418015,
-0.0178151223808527,
-0.02721499651670456,
-0.02506837621331215,
-0.0940561592578888,
-0.02813095599412918,
0.05413547158241272,
0.02219022810459137,
-0.019491128623485565,
0.04283216968178749,
-0.11097941547632217,
0.039980173110961914,
-0.04277637600898743,
-0.020093483850359917,
-0.0813254714012146,
-0.02430892363190651,
0.03773028776049614,
0.011791154742240906,
0.04385017976164818,
0.015478885732591152,
0.07945563644170761,
-0.05064591020345688,
0.03283459320664406,
0.025864524766802788,
-0.07769080996513367,
-0.0852157324552536,
-0.013450653292238712,
0.1470186859369278,
-0.024750972166657448,
0.04782041162252426,
-2.6114833925745788e-33,
-0.05698363855481148,
-0.038320254534482956,
-0.07121796160936356,
0.007395431865006685,
0.05104187875986099,
0.044481679797172546,
0.03653186932206154,
0.05131790041923523,
0.04518967866897583,
-0.10649359226226807,
0.028792254626750946,
0.01249686535447836,
0.024815913289785385,
0.09300599247217178,
0.027070410549640656,
0.028792204335331917,
-0.022447479888796806,
-0.0921313688158989,
-0.024936383590102196,
0.03728148713707924,
-0.0004376948345452547,
-0.033352214843034744,
0.074605792760849,
-0.015724025666713715,
-0.030415460467338562,
-0.057503942400217056,
0.013030325062572956,
-0.0034739344846457243,
0.03821270540356636,
0.0005418199580162764,
-0.014964664354920387,
0.008628913201391697,
0.030842239037156105,
0.0130541380494833,
-0.008175001479685307,
0.035101573914289474,
-0.031479038298130035,
0.05821985378861427,
0.04892181232571602,
0.005684296600520611,
-0.07771653681993484,
-0.051717497408390045,
0.11696857213973999,
-0.0024715466424822807,
0.00040998405893333256,
0.0649268627166748,
0.03248276934027672,
-0.06126256287097931,
-0.05568891018629074,
0.07713980972766876,
-0.0461849607527256,
-0.035436179488897324,
-0.002149107400327921,
0.05477252975106239,
0.027518754824995995,
0.031774766743183136,
0.0004328962240833789,
0.024874787777662277,
-0.0023417784832417965,
-0.029643148183822632,
-0.017673475667834282,
-0.00985443964600563,
0.07646610587835312,
0.009626529179513454,
0.05291195586323738,
0.04211754724383354,
-0.10704907774925232,
-0.08959726244211197,
-0.056673068553209305,
0.03891513869166374,
-0.06720507144927979,
-0.041924603283405304,
-0.015207117423415184,
0.00602637929841876,
0.04574596881866455,
-0.11432518810033798,
0.09105457365512848,
0.04335113614797592,
-0.04503709077835083,
0.036134593188762665,
0.045567646622657776,
0.09269068390130997,
-0.0018783068517223,
-0.022983530536293983,
-0.04627064988017082,
-0.05476752296090126,
0.018541544675827026,
-0.02053052932024002,
-0.03665696829557419,
0.0019960249774158,
0.04709090664982796,
0.03488248586654663,
0.04805053025484085,
-0.011889985762536526,
0.013791998848319054,
-4.410873444271601e-8,
-0.03192654997110367,
-0.02388223446905613,
-0.018880633637309074,
-0.0013352201785892248,
0.04997897520661354,
-0.024316202849149704,
-0.04351312294602394,
-0.045842479914426804,
0.06342657655477524,
-0.08007492125034332,
0.00827392190694809,
-0.04580143839120865,
0.01907246932387352,
-0.0847567692399025,
-0.06725116819143295,
0.047101158648729324,
-0.04854801669716835,
-0.03347771242260933,
0.035557206720113754,
0.02054702490568161,
-0.07298740744590759,
0.014369495213031769,
-0.050072066485881805,
0.04521573707461357,
0.030801968649029732,
0.013595244847238064,
-0.02126443386077881,
-0.07019992172718048,
0.08675716072320938,
0.006356330122798681,
-0.04431262984871864,
0.03399905562400818,
0.06763061881065369,
0.10008790343999863,
-0.03543907403945923,
0.039305929094552994,
0.05897833779454231,
0.06839708238840103,
-0.014332798309624195,
-0.01956932060420513,
-0.08818266540765762,
0.09746120870113373,
0.03227697312831879,
-0.07120092958211899,
0.05964997783303261,
0.0658126249909401,
-0.0675695538520813,
0.005406698677688837,
0.011672906577587128,
0.06717482954263687,
-0.07049825042486191,
0.08604787290096283,
0.04191456362605095,
0.05580795556306839,
0.11159639805555344,
-0.011054902337491512,
-0.03026198409497738,
-0.07895813882350922,
0.049649618566036224,
-0.043908197432756424,
-0.07038203626871109,
0.007706626318395138,
-0.05741714686155319,
0.0699143335223198
] |
1401.0621 | Zizheng Cao | Z. Cao, Q. Wang, R. Lu, H.P.A. van den Boom, E. Tangdiongga, and
A.M.J. Koonen | Phase modulation parallel optical delay detector for microwave
angle-of-arrival measurement with accuracy monitored | null | null | 10.1364/OL.39.001497 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel phase modulation parallel optical delay detector is proposed for
microwave angle-of-arrival (AOA) measurement with accuracy monitored by using
only one dual-electrode Mach-Zenhder modulator. A theoretical model is built up
to analyze the proposed system including measurement accuracy monitoring. The
spatial delay measurement is translated into the phase shift between two
replicas of a microwave signal. Thanks to the accuracy monitoring, the phase
shifts from 5{\deg} to 165{\deg} are measured with less than 3.1{\deg}
measurement error.
| [
{
"created": "Fri, 3 Jan 2014 10:57:17 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Cao",
"Z.",
""
],
[
"Wang",
"Q.",
""
],
[
"Lu",
"R.",
""
],
[
"Boom",
"H. P. A. van den",
""
],
[
"Tangdiongga",
"E.",
""
],
[
"Koonen",
"A. M. J.",
""
]
] | [
-0.026022853329777718,
0.030721012502908707,
-0.09985613077878952,
0.03696943446993828,
0.05559682101011276,
0.0029383969958871603,
0.008171898312866688,
-0.05456170812249184,
0.06704355776309967,
0.018966220319271088,
0.05179017037153244,
-0.07270508259534836,
-0.047676943242549896,
-0.03495441749691963,
-0.010893309488892555,
-0.05056703835725784,
-0.02537030540406704,
-0.007164302747696638,
0.12805446982383728,
0.02633296139538288,
0.02861863374710083,
-0.04210831969976425,
0.02981969714164734,
0.03238300979137421,
-0.02901497483253479,
-0.018907345831394196,
0.0004322652530390769,
-0.039102453738451004,
-0.01808595471084118,
-0.003774655517190695,
-0.0003807388129644096,
0.02315933257341385,
0.01096592377871275,
0.019352464005351067,
-0.01573941856622696,
0.021074388176202774,
0.1307666152715683,
-0.0690978392958641,
0.04159395024180412,
0.021098941564559937,
0.030466152355074883,
0.03307519853115082,
0.00219950033351779,
-0.06406271457672119,
-0.09824113547801971,
0.008031903766095638,
0.043216776102781296,
-0.01779486984014511,
-0.03316900134086609,
-0.0745757669210434,
0.028592268005013466,
0.03419123589992523,
-0.023130467161536217,
-0.027427339926362038,
0.02741764299571514,
0.10189762711524963,
0.026143569499254227,
0.04017682746052742,
-0.06669602543115616,
0.09357181936502457,
-0.04072541370987892,
-0.020507335662841797,
-0.06736020743846893,
-0.039837468415498734,
-0.01573404297232628,
-0.0019129784777760506,
0.06595508009195328,
-0.04369329288601875,
-0.028783874586224556,
-0.10125518590211868,
-0.02761789597570896,
0.05260275676846504,
0.09619659930467606,
0.10663314908742905,
0.00800860021263361,
-0.030765730887651443,
0.04251714423298836,
0.10074292123317719,
0.014291616156697273,
-0.02993685193359852,
-0.026399634778499603,
-0.077476367354393,
-0.0361371785402298,
0.04119902476668358,
0.05845353379845619,
-0.03842144086956978,
-0.015656335279345512,
-0.009968426078557968,
-0.06531992554664612,
-0.11782106757164001,
-0.010605637915432453,
-0.05942096188664436,
-0.02220209315419197,
0.019901996478438377,
0.05162974074482918,
-0.026145340874791145,
0.03967779874801636,
0.03277309983968735,
0.05110509693622589,
-0.023915378376841545,
0.04517631232738495,
-0.005791709758341312,
-0.10018039494752884,
0.008101511746644974,
-0.02857658825814724,
-0.010316229425370693,
0.0503845140337944,
0.026616215705871582,
-0.008878479711711407,
0.02576623670756817,
0.021373234689235687,
0.00883101299405098,
0.035133589059114456,
-0.048305533826351166,
0.03153970465064049,
0.10646087676286697,
-0.04784787818789482,
0.0687556192278862,
0.050885602831840515,
-0.05625211074948311,
-0.12401804327964783,
-0.05590754374861717,
0.030116496607661247,
0.01889396645128727,
0.09212395548820496,
0.029162626713514328,
0.04957273602485657,
1.2945867657329333e-35,
-0.01940532959997654,
0.024044781923294067,
-0.1080441027879715,
-0.03401173651218414,
-0.10504615306854248,
0.046197082847356796,
0.05618853121995926,
0.062194302678108215,
0.033855147659778595,
-0.0047754524275660515,
0.04186096042394638,
-0.03940391540527344,
-0.05897805094718933,
-0.04950251057744026,
0.007188594900071621,
-0.045814149081707,
-0.01546128187328577,
0.03259861841797829,
0.014026251621544361,
0.06644449383020401,
0.07753962278366089,
-0.10192763060331345,
-0.013391809538006783,
0.03373304381966591,
0.034880299121141434,
0.03542635962367058,
-0.040185797959566116,
-0.023002639412879944,
0.002590083982795477,
0.015796223655343056,
0.013889131136238575,
0.10387225449085236,
-0.0579097680747509,
-0.07334422320127487,
0.01527053490281105,
-0.06581225991249084,
0.03254227340221405,
0.07610759884119034,
-0.04375717416405678,
0.017266951501369476,
-0.008271068334579468,
0.017944639548659325,
-0.01396834198385477,
0.012320568785071373,
-0.06663448363542557,
-0.06393083930015564,
-0.16522274911403656,
0.003964664880186319,
0.07096618413925171,
0.11683984845876694,
-0.004670087713748217,
-0.06399448215961456,
0.0029820147901773453,
0.04280374199151993,
0.06684423238039017,
-0.020841386169195175,
-0.029016615822911263,
0.007092523388564587,
0.023379772901535034,
-0.046268291771411896,
0.025064853951334953,
-0.11211369931697845,
0.022365715354681015,
0.0020425929687917233,
-0.002398116746917367,
-0.03394051268696785,
0.029162757098674774,
-0.03685964271426201,
-0.0037363048177212477,
0.04447333142161369,
0.03695974126458168,
-0.028209945186972618,
0.02072661556303501,
0.002215813146904111,
0.004702037665992975,
0.021634498611092567,
-0.022318899631500244,
0.0758824422955513,
0.06013553962111473,
-0.049338098615407944,
0.012589406222105026,
0.025821218267083168,
-0.0014480578247457743,
-0.012530460022389889,
0.020102359354496002,
0.09793633967638016,
0.021381117403507233,
-0.0254511721432209,
-0.08013249933719635,
-0.014177284203469753,
0.01495338138192892,
0.021958334371447563,
-0.0020828507840633392,
0.03679515793919563,
-0.1211792603135109,
1.0330900978823792e-34,
0.016884325072169304,
-0.0020152630750089884,
-0.006558661814779043,
-0.02218373864889145,
0.004273948725312948,
-0.011869831010699272,
0.041253648698329926,
0.07681096345186234,
-0.04588373377919197,
0.037563808262348175,
0.0533057376742363,
-0.027614613994956017,
-0.06936826556921005,
0.018829621374607086,
-0.051945760846138,
0.04372280463576317,
0.06213708594441414,
-0.06793739646673203,
0.1337074190378189,
0.025602851063013077,
0.05088913068175316,
-0.07204124331474304,
0.0021156349685043097,
0.03462805971503258,
0.048925768584012985,
0.02186032384634018,
0.0006103182095102966,
0.020379822701215744,
-0.025914957746863365,
-0.03166235238313675,
-0.022705456241965294,
0.03105081059038639,
0.09083626419305801,
0.027476858347654343,
0.06927505135536194,
0.03674248605966568,
0.04248543456196785,
-0.04514698311686516,
-0.013082888908684254,
0.04672491177916527,
0.015954649075865746,
-0.0009632182191126049,
-0.0001340455492027104,
0.010892570950090885,
-0.022071456536650658,
0.013969420455396175,
0.031258776783943176,
0.05060621351003647,
-0.059628091752529144,
0.037852633744478226,
-0.011190171353518963,
-0.022864054888486862,
0.020632673054933548,
0.016657698899507523,
0.08342002332210541,
-0.011542446911334991,
-0.05925312265753746,
0.0147103825584054,
-0.0486634224653244,
0.10856293141841888,
-0.014549670740962029,
0.03306054323911667,
0.07437770813703537,
-0.01258935872465372,
0.05069573596119881,
0.064511738717556,
0.12580087780952454,
-0.037438053637742996,
0.0567922405898571,
0.09878924489021301,
0.08763489127159119,
0.04610572010278702,
0.042734768241643906,
0.043687235563993454,
0.0385289303958416,
-0.006735901813954115,
0.0026555832009762526,
0.060389045625925064,
-0.013508540578186512,
0.045340247452259064,
-0.0014296190347522497,
-0.02295551635324955,
-0.07380232214927673,
-0.00104064354673028,
-0.12382867932319641,
0.013540376909077168,
0.07699242979288101,
0.023608239367604256,
0.000773865613155067,
0.025911474600434303,
-0.06254438310861588,
0.08273674547672272,
0.010790625587105751,
-0.07386569678783417,
0.06089603155851364,
-4.203712933303905e-8,
0.044311102479696274,
-0.016161372885107994,
-0.06383848190307617,
-0.014396877028048038,
-0.06081573665142059,
-0.0496520921587944,
-0.019597070291638374,
-0.07344554364681244,
-0.04479588195681572,
-0.12085220962762833,
0.0029034712351858616,
0.0002749409177340567,
0.04064876586198807,
0.017004529014229774,
0.024690555408596992,
-0.09190503507852554,
0.03494987264275551,
-0.014851314947009087,
-0.013108605518937111,
0.05865691974759102,
0.07383135706186295,
0.0318903848528862,
0.09244735538959503,
-0.14229583740234375,
-0.011572984978556633,
0.03712417930364609,
-0.1061052605509758,
0.010458148084580898,
-0.003427706193178892,
-0.08730345964431763,
-0.007661513518542051,
0.009460903704166412,
-0.04030322656035423,
0.08178650587797165,
-0.04492369294166565,
0.01726508140563965,
-0.025182493031024933,
-0.04220831021666527,
0.05863477289676666,
0.04976876452565193,
-0.043566033244132996,
-0.06232510507106781,
-0.0732307881116867,
0.010611946694552898,
0.047601547092199326,
-0.008088667877018452,
0.013249179348349571,
-0.03099970705807209,
-0.0833120197057724,
0.005637451075017452,
-0.0065725152380764484,
0.011916602030396461,
-0.020484697073698044,
-0.05764136090874672,
-0.08593215048313141,
-0.04850572720170021,
0.03855349123477936,
-0.06981000304222107,
0.005993308965116739,
0.033377185463905334,
-0.07832209020853043,
-0.03338133916258812,
-0.06761704385280609,
-0.001459930557757616
] | null | null | null | null | null | null | null | [
-0.026022853329777718,
0.030721012502908707,
-0.09985613077878952,
0.03696943446993828,
0.05559682101011276,
0.0029383969958871603,
0.008171898312866688,
-0.05456170812249184,
0.06704355776309967,
0.018966220319271088,
0.05179017037153244,
-0.07270508259534836,
-0.047676943242549896,
-0.03495441749691963,
-0.010893309488892555,
-0.05056703835725784,
-0.02537030540406704,
-0.007164302747696638,
0.12805446982383728,
0.02633296139538288,
0.02861863374710083,
-0.04210831969976425,
0.02981969714164734,
0.03238300979137421,
-0.02901497483253479,
-0.018907345831394196,
0.0004322652530390769,
-0.039102453738451004,
-0.01808595471084118,
-0.003774655517190695,
-0.0003807388129644096,
0.02315933257341385,
0.01096592377871275,
0.019352464005351067,
-0.01573941856622696,
0.021074388176202774,
0.1307666152715683,
-0.0690978392958641,
0.04159395024180412,
0.021098941564559937,
0.030466152355074883,
0.03307519853115082,
0.00219950033351779,
-0.06406271457672119,
-0.09824113547801971,
0.008031903766095638,
0.043216776102781296,
-0.01779486984014511,
-0.03316900134086609,
-0.0745757669210434,
0.028592268005013466,
0.03419123589992523,
-0.023130467161536217,
-0.027427339926362038,
0.02741764299571514,
0.10189762711524963,
0.026143569499254227,
0.04017682746052742,
-0.06669602543115616,
0.09357181936502457,
-0.04072541370987892,
-0.020507335662841797,
-0.06736020743846893,
-0.039837468415498734,
-0.01573404297232628,
-0.0019129784777760506,
0.06595508009195328,
-0.04369329288601875,
-0.028783874586224556,
-0.10125518590211868,
-0.02761789597570896,
0.05260275676846504,
0.09619659930467606,
0.10663314908742905,
0.00800860021263361,
-0.030765730887651443,
0.04251714423298836,
0.10074292123317719,
0.014291616156697273,
-0.02993685193359852,
-0.026399634778499603,
-0.077476367354393,
-0.0361371785402298,
0.04119902476668358,
0.05845353379845619,
-0.03842144086956978,
-0.015656335279345512,
-0.009968426078557968,
-0.06531992554664612,
-0.11782106757164001,
-0.010605637915432453,
-0.05942096188664436,
-0.02220209315419197,
0.019901996478438377,
0.05162974074482918,
-0.026145340874791145,
0.03967779874801636,
0.03277309983968735,
0.05110509693622589,
-0.023915378376841545,
0.04517631232738495,
-0.005791709758341312,
-0.10018039494752884,
0.008101511746644974,
-0.02857658825814724,
-0.010316229425370693,
0.0503845140337944,
0.026616215705871582,
-0.008878479711711407,
0.02576623670756817,
0.021373234689235687,
0.00883101299405098,
0.035133589059114456,
-0.048305533826351166,
0.03153970465064049,
0.10646087676286697,
-0.04784787818789482,
0.0687556192278862,
0.050885602831840515,
-0.05625211074948311,
-0.12401804327964783,
-0.05590754374861717,
0.030116496607661247,
0.01889396645128727,
0.09212395548820496,
0.029162626713514328,
0.04957273602485657,
1.2945867657329333e-35,
-0.01940532959997654,
0.024044781923294067,
-0.1080441027879715,
-0.03401173651218414,
-0.10504615306854248,
0.046197082847356796,
0.05618853121995926,
0.062194302678108215,
0.033855147659778595,
-0.0047754524275660515,
0.04186096042394638,
-0.03940391540527344,
-0.05897805094718933,
-0.04950251057744026,
0.007188594900071621,
-0.045814149081707,
-0.01546128187328577,
0.03259861841797829,
0.014026251621544361,
0.06644449383020401,
0.07753962278366089,
-0.10192763060331345,
-0.013391809538006783,
0.03373304381966591,
0.034880299121141434,
0.03542635962367058,
-0.040185797959566116,
-0.023002639412879944,
0.002590083982795477,
0.015796223655343056,
0.013889131136238575,
0.10387225449085236,
-0.0579097680747509,
-0.07334422320127487,
0.01527053490281105,
-0.06581225991249084,
0.03254227340221405,
0.07610759884119034,
-0.04375717416405678,
0.017266951501369476,
-0.008271068334579468,
0.017944639548659325,
-0.01396834198385477,
0.012320568785071373,
-0.06663448363542557,
-0.06393083930015564,
-0.16522274911403656,
0.003964664880186319,
0.07096618413925171,
0.11683984845876694,
-0.004670087713748217,
-0.06399448215961456,
0.0029820147901773453,
0.04280374199151993,
0.06684423238039017,
-0.020841386169195175,
-0.029016615822911263,
0.007092523388564587,
0.023379772901535034,
-0.046268291771411896,
0.025064853951334953,
-0.11211369931697845,
0.022365715354681015,
0.0020425929687917233,
-0.002398116746917367,
-0.03394051268696785,
0.029162757098674774,
-0.03685964271426201,
-0.0037363048177212477,
0.04447333142161369,
0.03695974126458168,
-0.028209945186972618,
0.02072661556303501,
0.002215813146904111,
0.004702037665992975,
0.021634498611092567,
-0.022318899631500244,
0.0758824422955513,
0.06013553962111473,
-0.049338098615407944,
0.012589406222105026,
0.025821218267083168,
-0.0014480578247457743,
-0.012530460022389889,
0.020102359354496002,
0.09793633967638016,
0.021381117403507233,
-0.0254511721432209,
-0.08013249933719635,
-0.014177284203469753,
0.01495338138192892,
0.021958334371447563,
-0.0020828507840633392,
0.03679515793919563,
-0.1211792603135109,
1.0330900978823792e-34,
0.016884325072169304,
-0.0020152630750089884,
-0.006558661814779043,
-0.02218373864889145,
0.004273948725312948,
-0.011869831010699272,
0.041253648698329926,
0.07681096345186234,
-0.04588373377919197,
0.037563808262348175,
0.0533057376742363,
-0.027614613994956017,
-0.06936826556921005,
0.018829621374607086,
-0.051945760846138,
0.04372280463576317,
0.06213708594441414,
-0.06793739646673203,
0.1337074190378189,
0.025602851063013077,
0.05088913068175316,
-0.07204124331474304,
0.0021156349685043097,
0.03462805971503258,
0.048925768584012985,
0.02186032384634018,
0.0006103182095102966,
0.020379822701215744,
-0.025914957746863365,
-0.03166235238313675,
-0.022705456241965294,
0.03105081059038639,
0.09083626419305801,
0.027476858347654343,
0.06927505135536194,
0.03674248605966568,
0.04248543456196785,
-0.04514698311686516,
-0.013082888908684254,
0.04672491177916527,
0.015954649075865746,
-0.0009632182191126049,
-0.0001340455492027104,
0.010892570950090885,
-0.022071456536650658,
0.013969420455396175,
0.031258776783943176,
0.05060621351003647,
-0.059628091752529144,
0.037852633744478226,
-0.011190171353518963,
-0.022864054888486862,
0.020632673054933548,
0.016657698899507523,
0.08342002332210541,
-0.011542446911334991,
-0.05925312265753746,
0.0147103825584054,
-0.0486634224653244,
0.10856293141841888,
-0.014549670740962029,
0.03306054323911667,
0.07437770813703537,
-0.01258935872465372,
0.05069573596119881,
0.064511738717556,
0.12580087780952454,
-0.037438053637742996,
0.0567922405898571,
0.09878924489021301,
0.08763489127159119,
0.04610572010278702,
0.042734768241643906,
0.043687235563993454,
0.0385289303958416,
-0.006735901813954115,
0.0026555832009762526,
0.060389045625925064,
-0.013508540578186512,
0.045340247452259064,
-0.0014296190347522497,
-0.02295551635324955,
-0.07380232214927673,
-0.00104064354673028,
-0.12382867932319641,
0.013540376909077168,
0.07699242979288101,
0.023608239367604256,
0.000773865613155067,
0.025911474600434303,
-0.06254438310861588,
0.08273674547672272,
0.010790625587105751,
-0.07386569678783417,
0.06089603155851364,
-4.203712933303905e-8,
0.044311102479696274,
-0.016161372885107994,
-0.06383848190307617,
-0.014396877028048038,
-0.06081573665142059,
-0.0496520921587944,
-0.019597070291638374,
-0.07344554364681244,
-0.04479588195681572,
-0.12085220962762833,
0.0029034712351858616,
0.0002749409177340567,
0.04064876586198807,
0.017004529014229774,
0.024690555408596992,
-0.09190503507852554,
0.03494987264275551,
-0.014851314947009087,
-0.013108605518937111,
0.05865691974759102,
0.07383135706186295,
0.0318903848528862,
0.09244735538959503,
-0.14229583740234375,
-0.011572984978556633,
0.03712417930364609,
-0.1061052605509758,
0.010458148084580898,
-0.003427706193178892,
-0.08730345964431763,
-0.007661513518542051,
0.009460903704166412,
-0.04030322656035423,
0.08178650587797165,
-0.04492369294166565,
0.01726508140563965,
-0.025182493031024933,
-0.04220831021666527,
0.05863477289676666,
0.04976876452565193,
-0.043566033244132996,
-0.06232510507106781,
-0.0732307881116867,
0.010611946694552898,
0.047601547092199326,
-0.008088667877018452,
0.013249179348349571,
-0.03099970705807209,
-0.0833120197057724,
0.005637451075017452,
-0.0065725152380764484,
0.011916602030396461,
-0.020484697073698044,
-0.05764136090874672,
-0.08593215048313141,
-0.04850572720170021,
0.03855349123477936,
-0.06981000304222107,
0.005993308965116739,
0.033377185463905334,
-0.07832209020853043,
-0.03338133916258812,
-0.06761704385280609,
-0.001459930557757616
] |
1401.0625 | Yakov Nekrich | Moshe Lewenstein, Yakov Nekrich, Jeffrey Scott Vitter | Space-Efficient String Indexing for Wildcard Pattern Matching | 15 pages, extended version of the STACS paper | null | null | null | cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we describe compressed indexes that support pattern matching
queries for strings with wildcards. For a constant size alphabet our data
structure uses $O(n\log^{\varepsilon}n)$ bits for any $\varepsilon>0$ and
reports all $\mathrm{occ}$ occurrences of a wildcard string in $O(m+\sigma^g
\cdot\mu(n) + \mathrm{occ})$ time, where $\mu(n)=o(\log\log\log n)$, $\sigma$
is the alphabet size, $m$ is the number of alphabet symbols and $g$ is the
number of wildcard symbols in the query string. We also present an $O(n)$-bit
index with $O((m+\sigma^g+\mathrm{occ})\log^{\varepsilon}n)$ query time and an
$O(n(\log\log n)^2)$-bit index with $O((m+\sigma^g+\mathrm{occ})\log\log n)$
query time. These are the first non-trivial data structures for this problem
that need $o(n\log n)$ bits of space.
| [
{
"created": "Fri, 3 Jan 2014 11:08:34 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Lewenstein",
"Moshe",
""
],
[
"Nekrich",
"Yakov",
""
],
[
"Vitter",
"Jeffrey Scott",
""
]
] | [
0.00232548825442791,
0.030212685465812683,
0.025285279378294945,
0.05551993101835251,
-0.026280635967850685,
0.005058529321104288,
0.042537834495306015,
-0.001909443992190063,
0.04490099102258682,
-0.0644155815243721,
-0.029575593769550323,
0.06768486648797989,
0.06301131844520569,
-0.012896992266178131,
-0.01723496988415718,
0.0532330647110939,
-0.006353194825351238,
0.0737326368689537,
-0.06224311888217926,
0.014639017172157764,
0.03247593343257904,
0.005016349256038666,
-0.010861730203032494,
-0.08879818022251129,
0.0026575876399874687,
-0.023096328601241112,
0.012793369591236115,
-0.01781570352613926,
0.06095578894019127,
-0.014089583419263363,
-0.06043996661901474,
0.06835766136646271,
0.08707711100578308,
0.09308578073978424,
-0.0027053605299443007,
-0.03385724499821663,
-0.018725333735346794,
-0.025965044274926186,
0.022121844813227654,
0.006799526512622833,
-0.002665098989382386,
0.04586421325802803,
0.04706498235464096,
0.03103438764810562,
-0.008529880084097385,
0.06331444531679153,
0.00856445636600256,
0.05571672320365906,
-0.07819512486457825,
-0.04379633069038391,
-0.06489735841751099,
0.010457910597324371,
-0.06359754502773285,
0.022929629310965538,
-0.019474100321531296,
-0.0472603440284729,
-0.11585192382335663,
-0.03389405086636543,
-0.022966012358665466,
0.061823297291994095,
0.027637938037514687,
-0.007485666777938604,
-0.036033712327480316,
-0.0498785525560379,
-0.018784277141094208,
-0.0004094220348633826,
0.09448879212141037,
-0.023912234231829643,
0.025195183232426643,
0.006462494842708111,
-0.05540408566594124,
0.0461215004324913,
-0.11165203154087067,
0.1444445103406906,
-0.07533491402864456,
0.07934854924678802,
0.004287371877580881,
-0.03240792825818062,
0.052654609084129333,
-0.049885887652635574,
-0.05453503876924515,
-0.055513087660074234,
0.05774848908185959,
-0.02709747850894928,
0.012080819346010685,
-0.08438100665807724,
0.025212379172444344,
0.001274348353035748,
0.029791811481118202,
-0.05058383569121361,
-0.02473481558263302,
-0.04347684606909752,
0.023736843839287758,
-0.05219607427716255,
0.08646246045827866,
0.00035544540151022375,
0.016624199226498604,
0.09855397045612335,
0.06038220599293709,
0.039604973047971725,
-0.0032841088250279427,
0.07758725434541702,
-0.0035892189480364323,
-0.002669175388291478,
0.010207959450781345,
0.03268783912062645,
0.0017644620966166258,
-0.01748129352927208,
0.04453117400407791,
-0.018381651490926743,
0.011321705766022205,
0.04576217755675316,
0.01770654320716858,
-0.012862307019531727,
-0.002322145737707615,
-0.04450470581650734,
-0.006856277119368315,
-0.049443960189819336,
0.034746743738651276,
0.0484914667904377,
0.0407247431576252,
0.005157987121492624,
-0.029563728719949722,
-0.05982093885540962,
0.014593116007745266,
0.04586784541606903,
0.02587069571018219,
3.955489266691057e-33,
0.06058542802929878,
0.11081064492464066,
-0.04932493716478348,
-0.06947370618581772,
-0.025897283107042313,
0.04794883355498314,
0.05284746736288071,
0.01958618126809597,
-0.020984545350074768,
0.09276436269283295,
-0.0940060243010521,
0.07851052284240723,
0.010892165824770927,
0.002360397716984153,
0.055107638239860535,
0.01772993616759777,
0.06297094374895096,
-0.010403533466160297,
-0.055469825863838196,
-0.01453205943107605,
0.04397565871477127,
0.040272656828165054,
0.04917159304022789,
-0.03603336960077286,
0.02031882293522358,
-0.024128099903464317,
-0.005949125625193119,
-0.12250442802906036,
0.05255429446697235,
0.018062520772218704,
-0.004980271216481924,
-0.04899781197309494,
-0.060998618602752686,
-0.011256847530603409,
0.09169866889715195,
-0.02262221649289131,
0.009391285479068756,
0.01311090774834156,
0.01884162798523903,
0.021427635103464127,
-0.06264519691467285,
0.009332779794931412,
0.0055087567307055,
-0.045050960034132004,
-0.06574006378650665,
-0.02997523359954357,
-0.047920409590005875,
-0.04408489540219307,
-0.019167695194482803,
-0.008275195956230164,
0.060202114284038544,
-0.04200577363371849,
-0.08060585707426071,
0.06285858154296875,
0.09815897047519684,
-0.03519071638584137,
0.07199536263942719,
0.03160911425948143,
0.004710841923952103,
0.17963814735412598,
-0.032102473080158234,
-0.016175752505660057,
0.0750962346792221,
-0.001577617134898901,
0.040019381791353226,
-0.02741563506424427,
0.04244504123926163,
0.04501424357295036,
-0.0034444795455783606,
0.011481123976409435,
0.09421097487211227,
-0.04643286019563675,
0.009471053257584572,
-0.09065850079059601,
-0.02784917876124382,
-0.0166983213275671,
0.08218015730381012,
-0.07092855870723724,
-0.0833587571978569,
-0.021045291796326637,
-0.03601495921611786,
-0.07164203375577927,
0.11682848632335663,
-0.056549668312072754,
-0.05464520305395126,
-0.058851439505815506,
-0.0051595186814665794,
-0.04267630726099014,
-0.034465741366147995,
-0.11995091289281845,
-0.02388339675962925,
0.004369600210338831,
-0.02556321583688259,
-0.08994818478822708,
0.027728820219635963,
-3.690701817328644e-33,
0.033982276916503906,
-0.056805871427059174,
0.03168146312236786,
0.0356818251311779,
0.01799766719341278,
-0.15432995557785034,
-0.031018586829304695,
0.0011394788743928075,
-0.023633666336536407,
-0.09439456462860107,
-0.07212582975625992,
0.040016625076532364,
0.10700718313455582,
-0.03350578993558884,
0.026025421917438507,
0.039381761103868484,
-0.02967948466539383,
0.07309091091156006,
-0.01897493004798889,
0.07383371144533157,
-0.015079176984727383,
0.06656750291585922,
-0.06966671347618103,
0.030495163053274155,
-0.0005972268409095705,
0.03755177557468414,
-0.024764806032180786,
-0.005299956537783146,
-0.0005472654011100531,
-0.004702729173004627,
-0.020511189475655556,
-0.04110975190997124,
-0.030204450711607933,
-0.09157413244247437,
-0.05159033462405205,
-0.019453706219792366,
0.034606922417879105,
0.05927778035402298,
0.013924692757427692,
0.019778650254011154,
0.01418087538331747,
0.041350845247507095,
0.057452086359262466,
0.02004018798470497,
0.026455683633685112,
-0.03674370050430298,
-0.08876708894968033,
-0.0017380428034812212,
0.025414565578103065,
-0.0038458893541246653,
0.06473901122808456,
-0.024514317512512207,
0.0477081760764122,
0.020404739305377007,
-0.002538457280024886,
-0.006526321638375521,
-0.16708454489707947,
0.03571028262376785,
-0.09505365788936615,
0.0332987941801548,
-0.02044767700135708,
0.05181282013654709,
-0.004407147876918316,
-0.016836194321513176,
0.005573739763349295,
0.012541130185127258,
-0.06616831570863724,
-0.08665958791971207,
-0.030333423987030983,
-0.050881680101156235,
-0.0018615834414958954,
-0.06433107703924179,
-0.09022290259599686,
0.07676354795694351,
-0.04958180710673332,
0.06273163855075836,
0.04150460287928581,
0.03320011869072914,
-0.0023942047264426947,
0.1351265162229538,
-0.056121356785297394,
0.09431298822164536,
-0.011705850251019001,
0.03133957087993622,
-0.008605081588029861,
0.04707099497318268,
-0.04607189819216728,
0.012726017273962498,
0.010840164497494698,
-0.038495440036058426,
0.00037256363430060446,
0.02167750895023346,
0.046025313436985016,
0.026065608486533165,
0.028347985818982124,
-5.413791015485003e-8,
-0.016456155106425285,
-0.04034015163779259,
-0.03932005912065506,
-0.010961064137518406,
0.12019956111907959,
0.015160826966166496,
-0.08652745187282562,
0.024136193096637726,
-0.044385433197021484,
-0.01978738233447075,
0.0909007117152214,
0.026787424460053444,
-0.09454512596130371,
-0.014423603191971779,
0.03488178923726082,
-0.019595885649323463,
-0.035742439329624176,
-0.07307993620634079,
-0.02671707235276699,
0.0392647422850132,
-0.0409502349793911,
0.1022619903087616,
0.06009328365325928,
0.041489891707897186,
-0.04173083230853081,
0.016571806743741035,
0.06071680784225464,
-0.0520499050617218,
0.012327278964221478,
0.0787135511636734,
0.044926151633262634,
0.07138974964618683,
-0.007559840567409992,
-0.06686388701200485,
-0.00029039059882052243,
-0.02516799420118332,
-0.012296152301132679,
-0.016644543036818504,
-0.07720454782247543,
-0.03291282430291176,
0.11260630935430527,
-0.01931987889111042,
0.03423890098929405,
-0.010626040399074554,
0.03576045110821724,
-0.07759468257427216,
0.008876681327819824,
-0.026993274688720703,
0.019776945933699608,
0.014898162335157394,
-0.024681175127625465,
-0.04821726307272911,
-0.06669239699840546,
0.06712541729211807,
0.036034636199474335,
-0.016850929707288742,
-0.06256995350122452,
-0.026286665350198746,
0.0768694207072258,
-0.039819151163101196,
-0.008720911107957363,
-0.05499745532870293,
0.05287359282374382,
-0.01606251485645771
] | null | null | null | null | null | null | null | [
0.00232548825442791,
0.030212685465812683,
0.025285279378294945,
0.05551993101835251,
-0.026280635967850685,
0.005058529321104288,
0.042537834495306015,
-0.001909443992190063,
0.04490099102258682,
-0.0644155815243721,
-0.029575593769550323,
0.06768486648797989,
0.06301131844520569,
-0.012896992266178131,
-0.01723496988415718,
0.0532330647110939,
-0.006353194825351238,
0.0737326368689537,
-0.06224311888217926,
0.014639017172157764,
0.03247593343257904,
0.005016349256038666,
-0.010861730203032494,
-0.08879818022251129,
0.0026575876399874687,
-0.023096328601241112,
0.012793369591236115,
-0.01781570352613926,
0.06095578894019127,
-0.014089583419263363,
-0.06043996661901474,
0.06835766136646271,
0.08707711100578308,
0.09308578073978424,
-0.0027053605299443007,
-0.03385724499821663,
-0.018725333735346794,
-0.025965044274926186,
0.022121844813227654,
0.006799526512622833,
-0.002665098989382386,
0.04586421325802803,
0.04706498235464096,
0.03103438764810562,
-0.008529880084097385,
0.06331444531679153,
0.00856445636600256,
0.05571672320365906,
-0.07819512486457825,
-0.04379633069038391,
-0.06489735841751099,
0.010457910597324371,
-0.06359754502773285,
0.022929629310965538,
-0.019474100321531296,
-0.0472603440284729,
-0.11585192382335663,
-0.03389405086636543,
-0.022966012358665466,
0.061823297291994095,
0.027637938037514687,
-0.007485666777938604,
-0.036033712327480316,
-0.0498785525560379,
-0.018784277141094208,
-0.0004094220348633826,
0.09448879212141037,
-0.023912234231829643,
0.025195183232426643,
0.006462494842708111,
-0.05540408566594124,
0.0461215004324913,
-0.11165203154087067,
0.1444445103406906,
-0.07533491402864456,
0.07934854924678802,
0.004287371877580881,
-0.03240792825818062,
0.052654609084129333,
-0.049885887652635574,
-0.05453503876924515,
-0.055513087660074234,
0.05774848908185959,
-0.02709747850894928,
0.012080819346010685,
-0.08438100665807724,
0.025212379172444344,
0.001274348353035748,
0.029791811481118202,
-0.05058383569121361,
-0.02473481558263302,
-0.04347684606909752,
0.023736843839287758,
-0.05219607427716255,
0.08646246045827866,
0.00035544540151022375,
0.016624199226498604,
0.09855397045612335,
0.06038220599293709,
0.039604973047971725,
-0.0032841088250279427,
0.07758725434541702,
-0.0035892189480364323,
-0.002669175388291478,
0.010207959450781345,
0.03268783912062645,
0.0017644620966166258,
-0.01748129352927208,
0.04453117400407791,
-0.018381651490926743,
0.011321705766022205,
0.04576217755675316,
0.01770654320716858,
-0.012862307019531727,
-0.002322145737707615,
-0.04450470581650734,
-0.006856277119368315,
-0.049443960189819336,
0.034746743738651276,
0.0484914667904377,
0.0407247431576252,
0.005157987121492624,
-0.029563728719949722,
-0.05982093885540962,
0.014593116007745266,
0.04586784541606903,
0.02587069571018219,
3.955489266691057e-33,
0.06058542802929878,
0.11081064492464066,
-0.04932493716478348,
-0.06947370618581772,
-0.025897283107042313,
0.04794883355498314,
0.05284746736288071,
0.01958618126809597,
-0.020984545350074768,
0.09276436269283295,
-0.0940060243010521,
0.07851052284240723,
0.010892165824770927,
0.002360397716984153,
0.055107638239860535,
0.01772993616759777,
0.06297094374895096,
-0.010403533466160297,
-0.055469825863838196,
-0.01453205943107605,
0.04397565871477127,
0.040272656828165054,
0.04917159304022789,
-0.03603336960077286,
0.02031882293522358,
-0.024128099903464317,
-0.005949125625193119,
-0.12250442802906036,
0.05255429446697235,
0.018062520772218704,
-0.004980271216481924,
-0.04899781197309494,
-0.060998618602752686,
-0.011256847530603409,
0.09169866889715195,
-0.02262221649289131,
0.009391285479068756,
0.01311090774834156,
0.01884162798523903,
0.021427635103464127,
-0.06264519691467285,
0.009332779794931412,
0.0055087567307055,
-0.045050960034132004,
-0.06574006378650665,
-0.02997523359954357,
-0.047920409590005875,
-0.04408489540219307,
-0.019167695194482803,
-0.008275195956230164,
0.060202114284038544,
-0.04200577363371849,
-0.08060585707426071,
0.06285858154296875,
0.09815897047519684,
-0.03519071638584137,
0.07199536263942719,
0.03160911425948143,
0.004710841923952103,
0.17963814735412598,
-0.032102473080158234,
-0.016175752505660057,
0.0750962346792221,
-0.001577617134898901,
0.040019381791353226,
-0.02741563506424427,
0.04244504123926163,
0.04501424357295036,
-0.0034444795455783606,
0.011481123976409435,
0.09421097487211227,
-0.04643286019563675,
0.009471053257584572,
-0.09065850079059601,
-0.02784917876124382,
-0.0166983213275671,
0.08218015730381012,
-0.07092855870723724,
-0.0833587571978569,
-0.021045291796326637,
-0.03601495921611786,
-0.07164203375577927,
0.11682848632335663,
-0.056549668312072754,
-0.05464520305395126,
-0.058851439505815506,
-0.0051595186814665794,
-0.04267630726099014,
-0.034465741366147995,
-0.11995091289281845,
-0.02388339675962925,
0.004369600210338831,
-0.02556321583688259,
-0.08994818478822708,
0.027728820219635963,
-3.690701817328644e-33,
0.033982276916503906,
-0.056805871427059174,
0.03168146312236786,
0.0356818251311779,
0.01799766719341278,
-0.15432995557785034,
-0.031018586829304695,
0.0011394788743928075,
-0.023633666336536407,
-0.09439456462860107,
-0.07212582975625992,
0.040016625076532364,
0.10700718313455582,
-0.03350578993558884,
0.026025421917438507,
0.039381761103868484,
-0.02967948466539383,
0.07309091091156006,
-0.01897493004798889,
0.07383371144533157,
-0.015079176984727383,
0.06656750291585922,
-0.06966671347618103,
0.030495163053274155,
-0.0005972268409095705,
0.03755177557468414,
-0.024764806032180786,
-0.005299956537783146,
-0.0005472654011100531,
-0.004702729173004627,
-0.020511189475655556,
-0.04110975190997124,
-0.030204450711607933,
-0.09157413244247437,
-0.05159033462405205,
-0.019453706219792366,
0.034606922417879105,
0.05927778035402298,
0.013924692757427692,
0.019778650254011154,
0.01418087538331747,
0.041350845247507095,
0.057452086359262466,
0.02004018798470497,
0.026455683633685112,
-0.03674370050430298,
-0.08876708894968033,
-0.0017380428034812212,
0.025414565578103065,
-0.0038458893541246653,
0.06473901122808456,
-0.024514317512512207,
0.0477081760764122,
0.020404739305377007,
-0.002538457280024886,
-0.006526321638375521,
-0.16708454489707947,
0.03571028262376785,
-0.09505365788936615,
0.0332987941801548,
-0.02044767700135708,
0.05181282013654709,
-0.004407147876918316,
-0.016836194321513176,
0.005573739763349295,
0.012541130185127258,
-0.06616831570863724,
-0.08665958791971207,
-0.030333423987030983,
-0.050881680101156235,
-0.0018615834414958954,
-0.06433107703924179,
-0.09022290259599686,
0.07676354795694351,
-0.04958180710673332,
0.06273163855075836,
0.04150460287928581,
0.03320011869072914,
-0.0023942047264426947,
0.1351265162229538,
-0.056121356785297394,
0.09431298822164536,
-0.011705850251019001,
0.03133957087993622,
-0.008605081588029861,
0.04707099497318268,
-0.04607189819216728,
0.012726017273962498,
0.010840164497494698,
-0.038495440036058426,
0.00037256363430060446,
0.02167750895023346,
0.046025313436985016,
0.026065608486533165,
0.028347985818982124,
-5.413791015485003e-8,
-0.016456155106425285,
-0.04034015163779259,
-0.03932005912065506,
-0.010961064137518406,
0.12019956111907959,
0.015160826966166496,
-0.08652745187282562,
0.024136193096637726,
-0.044385433197021484,
-0.01978738233447075,
0.0909007117152214,
0.026787424460053444,
-0.09454512596130371,
-0.014423603191971779,
0.03488178923726082,
-0.019595885649323463,
-0.035742439329624176,
-0.07307993620634079,
-0.02671707235276699,
0.0392647422850132,
-0.0409502349793911,
0.1022619903087616,
0.06009328365325928,
0.041489891707897186,
-0.04173083230853081,
0.016571806743741035,
0.06071680784225464,
-0.0520499050617218,
0.012327278964221478,
0.0787135511636734,
0.044926151633262634,
0.07138974964618683,
-0.007559840567409992,
-0.06686388701200485,
-0.00029039059882052243,
-0.02516799420118332,
-0.012296152301132679,
-0.016644543036818504,
-0.07720454782247543,
-0.03291282430291176,
0.11260630935430527,
-0.01931987889111042,
0.03423890098929405,
-0.010626040399074554,
0.03576045110821724,
-0.07759468257427216,
0.008876681327819824,
-0.026993274688720703,
0.019776945933699608,
0.014898162335157394,
-0.024681175127625465,
-0.04821726307272911,
-0.06669239699840546,
0.06712541729211807,
0.036034636199474335,
-0.016850929707288742,
-0.06256995350122452,
-0.026286665350198746,
0.0768694207072258,
-0.039819151163101196,
-0.008720911107957363,
-0.05499745532870293,
0.05287359282374382,
-0.01606251485645771
] |
1401.0629 | Thomas Niebler | Stephan Doerfel and Daniel Zoller and Philipp Singer and Thomas
Niebler and Andreas Hotho and Markus Strohmaier | Of course we share! Testing Assumptions about Social Tagging Systems | null | null | null | null | cs.IR cs.DL cs.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Social tagging systems have established themselves as an important part in
today's web and have attracted the interest from our research community in a
variety of investigations. The overall vision of our community is that simply
through interactions with the system, i.e., through tagging and sharing of
resources, users would contribute to building useful semantic structures as
well as resource indexes using uncontrolled vocabulary not only due to the
easy-to-use mechanics. Henceforth, a variety of assumptions about social
tagging systems have emerged, yet testing them has been difficult due to the
absence of suitable data. In this work we thoroughly investigate three
available assumptions - e.g., is a tagging system really social? - by examining
live log data gathered from the real-world public social tagging system
BibSonomy. Our empirical results indicate that while some of these assumptions
hold to a certain extent, other assumptions need to be reflected and viewed in
a very critical light. Our observations have implications for the design of
future search and other algorithms to better reflect the actual user behavior.
| [
{
"created": "Fri, 3 Jan 2014 11:59:34 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2014 13:03:32 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Mar 2014 09:41:21 GMT",
"version": "v3"
}
] | 2014-03-31 | [
[
"Doerfel",
"Stephan",
""
],
[
"Zoller",
"Daniel",
""
],
[
"Singer",
"Philipp",
""
],
[
"Niebler",
"Thomas",
""
],
[
"Hotho",
"Andreas",
""
],
[
"Strohmaier",
"Markus",
""
]
] | [
-0.03669821470975876,
-0.03756595775485039,
-0.08898447453975677,
0.020906588062644005,
0.07962324470281601,
-0.10139257460832596,
0.07615363597869873,
-0.017284348607063293,
-0.01265894528478384,
-0.014443013817071915,
0.0041604903526604176,
-0.010818090289831161,
0.08908288925886154,
0.044981732964515686,
-0.008178110234439373,
-0.020121799781918526,
0.004895743913948536,
-0.025096958503127098,
0.009223797358572483,
0.026264462620019913,
-0.011773920617997646,
0.019429052248597145,
-0.005439217202365398,
0.05182155594229698,
0.045565951615571976,
0.0037863911129534245,
-0.04634454846382141,
-0.0604218952357769,
-0.006521422881633043,
0.02587944269180298,
0.03072596713900566,
0.030322479084134102,
0.004012376070022583,
0.045133326202631,
-0.032451704144477844,
-0.043218545615673065,
0.05339830368757248,
-0.022606555372476578,
-0.012704361230134964,
0.0025048928800970316,
-0.060318686068058014,
-0.030421214178204536,
-0.05052420124411583,
0.020530080422759056,
-0.04802177473902702,
0.08292688429355621,
-0.03595948591828346,
0.02022339217364788,
-0.10510645806789398,
0.014695021323859692,
-0.11673232913017273,
-0.02207142487168312,
0.07648874819278717,
0.06277237832546234,
-0.004414117895066738,
0.03306981921195984,
0.0025171558372676373,
-0.08810274302959442,
-0.019736824557185173,
-0.02119681052863598,
-0.017655501142144203,
-0.06480119377374649,
0.005578524898737669,
0.05635771527886391,
0.05224950984120369,
-0.021838776767253876,
-0.037201423197984695,
0.07827573269605637,
0.056394364684820175,
0.018649442121386528,
0.020167343318462372,
0.07616907358169556,
-0.005210545379668474,
0.04516918212175369,
0.05166492611169815,
-0.005134358070790768,
-0.0068035428412258625,
-0.011766194365918636,
-0.03560609370470047,
-0.03219122067093849,
-0.06889788806438446,
-0.030609017238020897,
-0.0020730772521346807,
0.017550790682435036,
-0.020583540201187134,
-0.023368528112769127,
0.013197667896747589,
-0.0014036507345736027,
0.02675631456077099,
0.04263466224074364,
-0.03536953777074814,
0.04804413020610809,
0.05626440420746803,
-0.10120853036642075,
0.01559273898601532,
0.006897744722664356,
0.01216923352330923,
-0.03755984082818031,
0.033875927329063416,
0.10542494058609009,
-0.026417594403028488,
0.08127070218324661,
0.056073158979415894,
-0.09335740655660629,
0.013179371133446693,
0.06693866848945618,
-0.028980016708374023,
0.0700167790055275,
0.0628502145409584,
0.014211982488632202,
-0.058581963181495667,
-0.0095828203484416,
-0.03847026824951172,
-0.07083254307508469,
0.03697773441672325,
-0.06967779994010925,
0.06105590611696243,
-0.023472459986805916,
0.05588772892951965,
0.06882120668888092,
0.06503809988498688,
0.11094321310520172,
0.06344638764858246,
-0.11394015699625015,
0.05989411845803261,
0.09509488195180893,
-0.07745437324047089,
1.3120034077573259e-33,
0.10842995345592499,
0.016300952062010765,
0.021439477801322937,
0.04930252209305763,
-0.06044812873005867,
-0.012220697477459908,
-0.08192664384841919,
-0.011241341009736061,
-0.05742479860782623,
-0.022708570584654808,
0.07822740077972412,
0.10623261332511902,
0.038648273795843124,
0.033037763088941574,
0.1236899197101593,
0.022628629580140114,
0.019269287586212158,
0.03985049948096275,
-0.024350294843316078,
0.013365460559725761,
0.1033860519528389,
-0.0370853990316391,
0.03922077268362045,
-0.034846894443035126,
0.010755717754364014,
-0.007223377004265785,
-0.050756555050611496,
-0.04382018372416496,
0.096250981092453,
0.020078487694263458,
0.032487139105796814,
0.015043423511087894,
-0.02155856043100357,
-0.011671878397464752,
0.027531219646334648,
0.002410221379250288,
0.002061432460322976,
-0.03917737305164337,
0.01067607942968607,
-0.105079285800457,
-0.05842253565788269,
-0.007535555865615606,
-0.01581827737390995,
-0.03756432607769966,
-0.02063458412885666,
-0.01486952230334282,
-0.00884378794580698,
0.02962958626449108,
-0.002684504957869649,
0.030901608988642693,
0.12108587473630905,
-0.04786573722958565,
0.021579129621386528,
0.0696781650185585,
-0.06643759459257126,
0.026235384866595268,
-0.021718835458159447,
-0.011090042069554329,
0.020322181284427643,
-0.027614349499344826,
0.01963317021727562,
-0.05630800500512123,
0.09037379175424576,
-0.04728423431515694,
0.0024815655779093504,
-0.015405136160552502,
0.0673186331987381,
0.03135740011930466,
0.026155870407819748,
-0.0479770302772522,
0.010378153994679451,
-0.001258702133782208,
-0.0863305851817131,
0.012020404450595379,
0.037827566266059875,
0.04067881405353546,
-0.03474252298474312,
-0.04396195337176323,
-0.02483491040766239,
0.028849361464381218,
0.011225000023841858,
-0.12414886057376862,
0.0293272752314806,
0.015182428061962128,
-0.018660733476281166,
-0.08160039037466049,
0.01471441239118576,
-0.10531598329544067,
-0.005589678883552551,
0.038400087505578995,
-0.03542912006378174,
0.06298714131116867,
-0.06404664367437363,
0.02947617881000042,
-0.023610306903719902,
-2.8336887427494466e-33,
-0.08723209798336029,
-0.11712031811475754,
-0.0017016553319990635,
0.03382161632180214,
-0.03647066280245781,
-0.09054949879646301,
-0.03975606709718704,
-0.0060690054669976234,
-0.0476958230137825,
-0.029425067827105522,
-0.036984946578741074,
-0.02408863976597786,
-0.04941697046160698,
0.05042913556098938,
0.056758616119623184,
-0.014440402388572693,
0.06423491984605789,
0.002305610803887248,
0.013258430175483227,
0.03096700645983219,
0.013725458644330502,
0.07105883210897446,
-0.13147547841072083,
0.06283432245254517,
0.0611104890704155,
0.0225443746894598,
0.0005816714256070554,
-0.025126099586486816,
-0.021791039034724236,
-0.037177201360464096,
-0.04757223278284073,
-0.04758497327566147,
-0.04032868891954422,
-0.10796695202589035,
0.0067259883508086205,
0.005496731027960777,
0.004116510506719351,
0.027896903455257416,
0.003705482231453061,
-0.010794824920594692,
0.0016316017135977745,
0.06092476472258568,
-0.03024740144610405,
-0.07571864128112793,
-0.06374454498291016,
-0.010093117132782936,
-0.08259586989879608,
-0.0028984483797103167,
-0.006954451557248831,
0.0017420616932213306,
0.05728542059659958,
-0.018987048417329788,
0.006458170711994171,
-0.053283922374248505,
-0.01051135454326868,
-0.07352477312088013,
-0.011808319948613644,
-0.024743735790252686,
-0.10074249655008316,
-0.002373781055212021,
-0.0692833960056305,
0.06294061243534088,
-0.0267887394875288,
0.10979285836219788,
0.002338660415261984,
-0.15337684750556946,
-0.052364788949489594,
-0.047263454645872116,
-0.07257108390331268,
-0.0672907903790474,
0.08474274724721909,
-0.006205450277775526,
-0.06696068495512009,
0.0010314503451809287,
0.06940138339996338,
0.029384586960077286,
0.08597064018249512,
-0.001965539064258337,
0.003595031565055251,
-0.0415910929441452,
0.006219119764864445,
0.013025886379182339,
0.06899736076593399,
-0.021806318312883377,
0.04175687953829765,
-0.0038065952248871326,
0.012759990058839321,
0.022364383563399315,
-0.06417575478553772,
-0.006270131561905146,
0.03715986758470535,
-0.027212565764784813,
-0.05898069962859154,
0.06271383166313171,
-0.04246737062931061,
-4.861529845356927e-8,
-0.09497097879648209,
0.06883569806814194,
0.009782821871340275,
0.07006722688674927,
0.029611900448799133,
0.06296484917402267,
0.05546782538294792,
0.04931248351931572,
-0.07145114243030548,
0.012294397689402103,
0.05265399441123009,
0.04184500128030777,
0.03618210554122925,
0.01757945492863655,
0.03442198783159256,
-0.008166815154254436,
-0.0006528107915073633,
-0.08057773113250732,
-0.05889807268977165,
0.00713178189471364,
-0.0008007233263924718,
0.048100974410772324,
-0.07377321273088455,
0.012667461298406124,
0.07865515351295471,
-0.011752081103622913,
-0.02662852592766285,
0.011653943918645382,
0.04166780039668083,
0.009570823982357979,
0.05158577114343643,
0.014165699481964111,
-0.0896930918097496,
-0.011995182372629642,
0.07490894198417664,
0.03480309620499611,
-0.06772392988204956,
-0.05123983696103096,
-0.032921843230724335,
-0.015415111556649208,
0.02588817849755287,
0.02973446249961853,
0.02255241945385933,
-0.02108047902584076,
0.050242435187101364,
0.011640114709734917,
-0.05590345337986946,
0.022940266877412796,
0.002379894955083728,
-0.1102011501789093,
-0.04763085022568703,
-0.0807216465473175,
0.007199408486485481,
0.07144786417484283,
0.07960515469312668,
0.016014060005545616,
0.06351427733898163,
0.06838981807231903,
0.10772287845611572,
-0.015114332549273968,
0.14078032970428467,
-0.016937922686338425,
-0.06968310475349426,
0.05238033086061478
] | null | null | null | null | null | null | null | [
-0.03669821470975876,
-0.03756595775485039,
-0.08898447453975677,
0.020906588062644005,
0.07962324470281601,
-0.10139257460832596,
0.07615363597869873,
-0.017284348607063293,
-0.01265894528478384,
-0.014443013817071915,
0.0041604903526604176,
-0.010818090289831161,
0.08908288925886154,
0.044981732964515686,
-0.008178110234439373,
-0.020121799781918526,
0.004895743913948536,
-0.025096958503127098,
0.009223797358572483,
0.026264462620019913,
-0.011773920617997646,
0.019429052248597145,
-0.005439217202365398,
0.05182155594229698,
0.045565951615571976,
0.0037863911129534245,
-0.04634454846382141,
-0.0604218952357769,
-0.006521422881633043,
0.02587944269180298,
0.03072596713900566,
0.030322479084134102,
0.004012376070022583,
0.045133326202631,
-0.032451704144477844,
-0.043218545615673065,
0.05339830368757248,
-0.022606555372476578,
-0.012704361230134964,
0.0025048928800970316,
-0.060318686068058014,
-0.030421214178204536,
-0.05052420124411583,
0.020530080422759056,
-0.04802177473902702,
0.08292688429355621,
-0.03595948591828346,
0.02022339217364788,
-0.10510645806789398,
0.014695021323859692,
-0.11673232913017273,
-0.02207142487168312,
0.07648874819278717,
0.06277237832546234,
-0.004414117895066738,
0.03306981921195984,
0.0025171558372676373,
-0.08810274302959442,
-0.019736824557185173,
-0.02119681052863598,
-0.017655501142144203,
-0.06480119377374649,
0.005578524898737669,
0.05635771527886391,
0.05224950984120369,
-0.021838776767253876,
-0.037201423197984695,
0.07827573269605637,
0.056394364684820175,
0.018649442121386528,
0.020167343318462372,
0.07616907358169556,
-0.005210545379668474,
0.04516918212175369,
0.05166492611169815,
-0.005134358070790768,
-0.0068035428412258625,
-0.011766194365918636,
-0.03560609370470047,
-0.03219122067093849,
-0.06889788806438446,
-0.030609017238020897,
-0.0020730772521346807,
0.017550790682435036,
-0.020583540201187134,
-0.023368528112769127,
0.013197667896747589,
-0.0014036507345736027,
0.02675631456077099,
0.04263466224074364,
-0.03536953777074814,
0.04804413020610809,
0.05626440420746803,
-0.10120853036642075,
0.01559273898601532,
0.006897744722664356,
0.01216923352330923,
-0.03755984082818031,
0.033875927329063416,
0.10542494058609009,
-0.026417594403028488,
0.08127070218324661,
0.056073158979415894,
-0.09335740655660629,
0.013179371133446693,
0.06693866848945618,
-0.028980016708374023,
0.0700167790055275,
0.0628502145409584,
0.014211982488632202,
-0.058581963181495667,
-0.0095828203484416,
-0.03847026824951172,
-0.07083254307508469,
0.03697773441672325,
-0.06967779994010925,
0.06105590611696243,
-0.023472459986805916,
0.05588772892951965,
0.06882120668888092,
0.06503809988498688,
0.11094321310520172,
0.06344638764858246,
-0.11394015699625015,
0.05989411845803261,
0.09509488195180893,
-0.07745437324047089,
1.3120034077573259e-33,
0.10842995345592499,
0.016300952062010765,
0.021439477801322937,
0.04930252209305763,
-0.06044812873005867,
-0.012220697477459908,
-0.08192664384841919,
-0.011241341009736061,
-0.05742479860782623,
-0.022708570584654808,
0.07822740077972412,
0.10623261332511902,
0.038648273795843124,
0.033037763088941574,
0.1236899197101593,
0.022628629580140114,
0.019269287586212158,
0.03985049948096275,
-0.024350294843316078,
0.013365460559725761,
0.1033860519528389,
-0.0370853990316391,
0.03922077268362045,
-0.034846894443035126,
0.010755717754364014,
-0.007223377004265785,
-0.050756555050611496,
-0.04382018372416496,
0.096250981092453,
0.020078487694263458,
0.032487139105796814,
0.015043423511087894,
-0.02155856043100357,
-0.011671878397464752,
0.027531219646334648,
0.002410221379250288,
0.002061432460322976,
-0.03917737305164337,
0.01067607942968607,
-0.105079285800457,
-0.05842253565788269,
-0.007535555865615606,
-0.01581827737390995,
-0.03756432607769966,
-0.02063458412885666,
-0.01486952230334282,
-0.00884378794580698,
0.02962958626449108,
-0.002684504957869649,
0.030901608988642693,
0.12108587473630905,
-0.04786573722958565,
0.021579129621386528,
0.0696781650185585,
-0.06643759459257126,
0.026235384866595268,
-0.021718835458159447,
-0.011090042069554329,
0.020322181284427643,
-0.027614349499344826,
0.01963317021727562,
-0.05630800500512123,
0.09037379175424576,
-0.04728423431515694,
0.0024815655779093504,
-0.015405136160552502,
0.0673186331987381,
0.03135740011930466,
0.026155870407819748,
-0.0479770302772522,
0.010378153994679451,
-0.001258702133782208,
-0.0863305851817131,
0.012020404450595379,
0.037827566266059875,
0.04067881405353546,
-0.03474252298474312,
-0.04396195337176323,
-0.02483491040766239,
0.028849361464381218,
0.011225000023841858,
-0.12414886057376862,
0.0293272752314806,
0.015182428061962128,
-0.018660733476281166,
-0.08160039037466049,
0.01471441239118576,
-0.10531598329544067,
-0.005589678883552551,
0.038400087505578995,
-0.03542912006378174,
0.06298714131116867,
-0.06404664367437363,
0.02947617881000042,
-0.023610306903719902,
-2.8336887427494466e-33,
-0.08723209798336029,
-0.11712031811475754,
-0.0017016553319990635,
0.03382161632180214,
-0.03647066280245781,
-0.09054949879646301,
-0.03975606709718704,
-0.0060690054669976234,
-0.0476958230137825,
-0.029425067827105522,
-0.036984946578741074,
-0.02408863976597786,
-0.04941697046160698,
0.05042913556098938,
0.056758616119623184,
-0.014440402388572693,
0.06423491984605789,
0.002305610803887248,
0.013258430175483227,
0.03096700645983219,
0.013725458644330502,
0.07105883210897446,
-0.13147547841072083,
0.06283432245254517,
0.0611104890704155,
0.0225443746894598,
0.0005816714256070554,
-0.025126099586486816,
-0.021791039034724236,
-0.037177201360464096,
-0.04757223278284073,
-0.04758497327566147,
-0.04032868891954422,
-0.10796695202589035,
0.0067259883508086205,
0.005496731027960777,
0.004116510506719351,
0.027896903455257416,
0.003705482231453061,
-0.010794824920594692,
0.0016316017135977745,
0.06092476472258568,
-0.03024740144610405,
-0.07571864128112793,
-0.06374454498291016,
-0.010093117132782936,
-0.08259586989879608,
-0.0028984483797103167,
-0.006954451557248831,
0.0017420616932213306,
0.05728542059659958,
-0.018987048417329788,
0.006458170711994171,
-0.053283922374248505,
-0.01051135454326868,
-0.07352477312088013,
-0.011808319948613644,
-0.024743735790252686,
-0.10074249655008316,
-0.002373781055212021,
-0.0692833960056305,
0.06294061243534088,
-0.0267887394875288,
0.10979285836219788,
0.002338660415261984,
-0.15337684750556946,
-0.052364788949489594,
-0.047263454645872116,
-0.07257108390331268,
-0.0672907903790474,
0.08474274724721909,
-0.006205450277775526,
-0.06696068495512009,
0.0010314503451809287,
0.06940138339996338,
0.029384586960077286,
0.08597064018249512,
-0.001965539064258337,
0.003595031565055251,
-0.0415910929441452,
0.006219119764864445,
0.013025886379182339,
0.06899736076593399,
-0.021806318312883377,
0.04175687953829765,
-0.0038065952248871326,
0.012759990058839321,
0.022364383563399315,
-0.06417575478553772,
-0.006270131561905146,
0.03715986758470535,
-0.027212565764784813,
-0.05898069962859154,
0.06271383166313171,
-0.04246737062931061,
-4.861529845356927e-8,
-0.09497097879648209,
0.06883569806814194,
0.009782821871340275,
0.07006722688674927,
0.029611900448799133,
0.06296484917402267,
0.05546782538294792,
0.04931248351931572,
-0.07145114243030548,
0.012294397689402103,
0.05265399441123009,
0.04184500128030777,
0.03618210554122925,
0.01757945492863655,
0.03442198783159256,
-0.008166815154254436,
-0.0006528107915073633,
-0.08057773113250732,
-0.05889807268977165,
0.00713178189471364,
-0.0008007233263924718,
0.048100974410772324,
-0.07377321273088455,
0.012667461298406124,
0.07865515351295471,
-0.011752081103622913,
-0.02662852592766285,
0.011653943918645382,
0.04166780039668083,
0.009570823982357979,
0.05158577114343643,
0.014165699481964111,
-0.0896930918097496,
-0.011995182372629642,
0.07490894198417664,
0.03480309620499611,
-0.06772392988204956,
-0.05123983696103096,
-0.032921843230724335,
-0.015415111556649208,
0.02588817849755287,
0.02973446249961853,
0.02255241945385933,
-0.02108047902584076,
0.050242435187101364,
0.011640114709734917,
-0.05590345337986946,
0.022940266877412796,
0.002379894955083728,
-0.1102011501789093,
-0.04763085022568703,
-0.0807216465473175,
0.007199408486485481,
0.07144786417484283,
0.07960515469312668,
0.016014060005545616,
0.06351427733898163,
0.06838981807231903,
0.10772287845611572,
-0.015114332549273968,
0.14078032970428467,
-0.016937922686338425,
-0.06968310475349426,
0.05238033086061478
] |
1401.0630 | Nikita Tarasov | E. G. Turitsyna, S. V. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S.
A. Babin, E. V. Podivilov, D. V. Churkin, G. Falkovich, S. K. Turitsyn | The laminar-turbulent transition in a fibre laser | 27 pages, 12 figures | Nature Photonics 7, 783-786 (2013) | 10.1038/nphoton.2013.246 | null | physics.optics physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Studying transition to a highly disordered state of turbulence from a
linearly stable coherent laminar state is conceptually and technically
challenging and immensely important, e.g. all pipe and channel flows are of
that type. In optics, understanding how systems lose coherence with increase of
spatial size or excitation level is an open fundamental problem of practical
importance. Here we identify, arguably, the simplest system where this
classical problem can be studied: we learnt to operate a fibre laser in laminar
and turbulent regimes. We show that laminar phase is an analogue of a
one-dimensional coherent condensate and turbulence onset is through a spatial
loss of coherence. We discover a new mechanism of laminar-turbulent transition
in laser operation: condensate destruction by the clustering of dark and grey
solitons. This is important both for the design of devices exploiting coherent
dynamics and for conceptually new technologies based on systems operating far
from thermodynamic equilibrium.
| [
{
"created": "Fri, 3 Jan 2014 12:02:44 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"Turitsyna",
"E. G.",
""
],
[
"Smirnov",
"S. V.",
""
],
[
"Sugavanam",
"S.",
""
],
[
"Tarasov",
"N.",
""
],
[
"Shu",
"X.",
""
],
[
"Babin",
"S. A.",
""
],
[
"Podivilov",
"E. V.",
""
],
[
"Churkin",
"D. V.",
""
],
[
"Falkovich",
"G.",
""
],
[
"Turitsyn",
"S. K.",
""
]
] | [
0.008066401816904545,
-0.061433132737874985,
0.00499343778938055,
0.06909721344709396,
-0.06931629031896591,
-0.002613383810967207,
0.02793884091079235,
-0.10286826640367508,
0.07948166877031326,
-0.01835695467889309,
-0.007969634607434273,
0.03052057884633541,
-0.07251666486263275,
-0.04152527078986168,
-0.020316390320658684,
0.023029441013932228,
-0.01575230434536934,
-0.0336693599820137,
-0.04439358413219452,
0.048600099980831146,
0.03139381855726242,
0.015481719747185707,
-0.09052155166864395,
0.08697381615638733,
-0.01713651604950428,
0.0002788819547276944,
0.015846675261855125,
-0.04211563616991043,
0.013150030747056007,
0.04758237674832344,
0.09563474357128143,
-0.03330415487289429,
-0.16292111575603485,
0.07682609558105469,
0.06258819252252579,
-0.09661892056465149,
0.0910705104470253,
0.003958925139158964,
-0.029151367023587227,
0.016762198880314827,
0.06011848524212837,
-0.02711544558405876,
-0.015303654596209526,
0.07376237213611603,
0.005946079734712839,
-0.01043463870882988,
0.023793809115886688,
-0.04677421972155571,
-0.0492037832736969,
-0.033991552889347076,
-0.09400882571935654,
0.039105311036109924,
-0.009078754112124443,
-0.0205891914665699,
0.058309268206357956,
0.14052221179008484,
0.0072308313101530075,
0.02890228107571602,
-0.04524553194642067,
-0.06394113600254059,
0.045440781861543655,
-0.027400925755500793,
-0.0037300114054232836,
-0.01872437074780464,
0.06289901584386826,
-0.02435644529759884,
0.052630431950092316,
0.08471141010522842,
0.007082447875291109,
0.033833518624305725,
-0.00982740893959999,
-0.01571386307477951,
0.015658622607588768,
0.005052519962191582,
0.04933876171708107,
0.050937969237565994,
-0.036296531558036804,
0.046119675040245056,
-0.03972954675555229,
0.11159076541662216,
0.07534204423427582,
0.020219478756189346,
0.06471665948629379,
0.01923726312816143,
-0.07484163343906403,
0.06680888682603836,
0.005726777948439121,
-0.021381935104727745,
0.005930815823376179,
-0.09306240826845169,
-0.12477781623601913,
-0.017250189557671547,
0.023877359926700592,
-0.07071451097726822,
0.07267988473176956,
-0.07972128689289093,
0.01698938012123108,
-0.013391165062785149,
0.10436016321182251,
-0.017314888536930084,
0.01580263301730156,
-0.08590894937515259,
0.028683409094810486,
-0.004763469099998474,
-0.11740314215421677,
0.038022998720407486,
0.07682771235704422,
0.08556506037712097,
-0.020075272768735886,
0.03053620457649231,
0.011231846176087856,
-0.02560901641845703,
-0.010474025271832943,
-0.0059479838237166405,
0.024301685392856598,
0.046473853290081024,
0.016690975055098534,
0.07967565953731537,
-0.04086000472307205,
0.06637414544820786,
-0.02835368551313877,
0.03530162200331688,
0.03151387348771095,
0.04568324610590935,
-0.07383750379085541,
0.04690614342689514,
-0.04745253175497055,
-2.420145238355358e-33,
0.06373856961727142,
-0.06097721308469772,
-0.025553468614816666,
0.02811548113822937,
0.0195210799574852,
-0.055870164185762405,
0.04674738273024559,
-0.07283765077590942,
-0.07310077548027039,
0.026099566370248795,
0.04529163986444473,
0.023135481402277946,
-0.02661052905023098,
0.037613000720739365,
0.05744615197181702,
-0.040025897324085236,
-0.03880704194307327,
0.04894164949655533,
-0.010575846768915653,
-0.01809251867234707,
0.04102884232997894,
0.08798827230930328,
0.01722431741654873,
-0.05318787693977356,
-0.06747881323099136,
-0.010143126361072063,
-0.024806436151266098,
-0.0012292087776586413,
-0.01273254957050085,
0.0002963020815514028,
-0.009535023011267185,
0.0644402876496315,
-0.05407165735960007,
-0.0026251832023262978,
0.06242455914616585,
-0.0019274111837148666,
-0.02427571825683117,
0.0509958453476429,
-0.01624428853392601,
0.02861628495156765,
-0.05254962667822838,
-0.012092937715351582,
0.007524542510509491,
0.015313000418245792,
0.017304234206676483,
-0.04150637611746788,
-0.02581315115094185,
0.018199393525719643,
-0.07854694873094559,
-0.07249990105628967,
0.03004518896341324,
-0.05985848978161812,
-0.07281212508678436,
0.07746079564094543,
0.0900077372789383,
-0.03940270468592644,
0.07233337312936783,
-0.009383713826537132,
0.031398460268974304,
-0.09469904005527496,
0.0034752641804516315,
-0.10723720490932465,
-0.014691048301756382,
-0.09761438518762589,
-0.043814897537231445,
0.04078476130962372,
-0.0012616314925253391,
0.06380342692136765,
0.042174920439720154,
-0.050344694405794144,
-0.01853899657726288,
0.05771823599934578,
0.01772802323102951,
-0.0377265065908432,
0.06915342807769775,
0.014121385291218758,
-0.02487175352871418,
0.057791996747255325,
-0.04556618630886078,
-0.005127156153321266,
-0.02787325717508793,
0.002919516758993268,
-0.06132480502128601,
0.08131754398345947,
-0.02720513939857483,
0.01368559431284666,
-0.032636214047670364,
0.015774741768836975,
-0.13966412842273712,
-0.044171757996082306,
0.00348894321359694,
-0.0010684713488444686,
0.0900358185172081,
-0.04855391010642052,
0.006536685861647129,
-2.811802323634082e-33,
0.06633396446704865,
-0.016863815486431122,
-0.0313006192445755,
0.0040575857274234295,
0.01096065528690815,
0.017314979806542397,
0.0685713067650795,
0.025096159428358078,
0.014550914987921715,
-0.10495847463607788,
0.04166432470083237,
0.039204392582178116,
0.0058449809439480305,
0.04941080883145332,
-0.022086333483457565,
-0.015074830502271652,
-0.015487768687307835,
-0.05620580166578293,
0.11357387900352478,
-0.06921590864658356,
0.02990693598985672,
-0.05079773813486099,
-0.003957175184041262,
-0.005061045754700899,
0.05123717337846756,
0.006336735095828772,
0.0008083511493168771,
-0.010219736024737358,
-0.04196573793888092,
0.017095055431127548,
0.002654513344168663,
-0.044626351445913315,
0.05040956661105156,
0.005909621249884367,
-0.08348344266414642,
0.07727361470460892,
-0.03006679378449917,
-0.061832115054130554,
-0.019750064238905907,
-0.1255151927471161,
0.004929010756313801,
-0.018269767984747887,
0.06817328184843063,
-0.028227800503373146,
0.011606656014919281,
-0.050127968192100525,
-0.03516971692442894,
-0.04770911484956741,
-0.025406604632735252,
0.012229301035404205,
-0.019735416397452354,
0.010715977288782597,
-0.05168209597468376,
0.036225829273462296,
-0.06451467424631119,
0.055091146379709244,
0.03336256742477417,
0.041157059371471405,
0.007365724537521601,
0.07766339182853699,
-0.10214114934206009,
-0.020270531997084618,
-0.03454907611012459,
0.045784447342157364,
0.02384193241596222,
-0.04281962662935257,
-0.06630989909172058,
-0.026081284508109093,
0.06757913529872894,
-0.06133677810430527,
0.060935333371162415,
0.05061975121498108,
0.010010894387960434,
0.08254285901784897,
0.09045641124248505,
-0.05448947474360466,
-0.01384105533361435,
-0.021895235404372215,
-0.019968358799815178,
0.0762205719947815,
-0.06610259413719177,
0.01596689410507679,
-0.02510339766740799,
-0.0246640145778656,
0.06576284766197205,
-0.08075594902038574,
0.021330108866095543,
-0.06957288831472397,
-0.03403710201382637,
-0.05541040375828743,
0.08054986596107483,
-0.047253839671611786,
0.029449835419654846,
-0.08050722628831863,
0.059456150978803635,
-4.416015286778929e-8,
-0.05113401263952255,
0.052691500633955,
-0.033876631408929825,
0.07216288894414902,
-0.021104447543621063,
-0.04707597941160202,
-0.0047797635197639465,
0.08049914240837097,
0.007226128596812487,
-0.0533020906150341,
0.04211723431944847,
-0.04578668996691704,
-0.013561345636844635,
0.0015097284922376275,
0.052809938788414,
-0.06976567208766937,
0.003589025931432843,
-0.04256773367524147,
-0.0018175796139985323,
-0.0721534937620163,
-0.026089517399668694,
-0.056283947080373764,
-0.005785307381302118,
0.02234071120619774,
-0.10502587258815765,
-0.06177004426717758,
-0.04987642541527748,
0.006154701579362154,
0.010441512800753117,
-0.01085972972214222,
-0.03544241562485695,
0.011558149009943008,
0.035498782992362976,
0.09128867089748383,
-0.12230455130338669,
-0.03901400417089462,
-0.10529708862304688,
0.021053465083241463,
0.0003796786768361926,
-0.03437630832195282,
-0.0020956541411578655,
0.033800020813941956,
-0.008289423771202564,
-0.028749309480190277,
0.038071878254413605,
0.10403476655483246,
0.027080340310931206,
-0.01431182585656643,
-0.10212027281522751,
0.07518257945775986,
0.0513419583439827,
0.0699496939778328,
0.023888247087597847,
0.06884735822677612,
-0.024753153324127197,
-0.007857296615839005,
-0.054595038294792175,
0.0444299653172493,
-0.027554519474506378,
-0.006927051581442356,
-0.0021445099264383316,
0.035073231905698776,
-0.04359712824225426,
-0.015923816710710526
] | null | null | null | null | null | null | null | [
0.008066401816904545,
-0.061433132737874985,
0.00499343778938055,
0.06909721344709396,
-0.06931629031896591,
-0.002613383810967207,
0.02793884091079235,
-0.10286826640367508,
0.07948166877031326,
-0.01835695467889309,
-0.007969634607434273,
0.03052057884633541,
-0.07251666486263275,
-0.04152527078986168,
-0.020316390320658684,
0.023029441013932228,
-0.01575230434536934,
-0.0336693599820137,
-0.04439358413219452,
0.048600099980831146,
0.03139381855726242,
0.015481719747185707,
-0.09052155166864395,
0.08697381615638733,
-0.01713651604950428,
0.0002788819547276944,
0.015846675261855125,
-0.04211563616991043,
0.013150030747056007,
0.04758237674832344,
0.09563474357128143,
-0.03330415487289429,
-0.16292111575603485,
0.07682609558105469,
0.06258819252252579,
-0.09661892056465149,
0.0910705104470253,
0.003958925139158964,
-0.029151367023587227,
0.016762198880314827,
0.06011848524212837,
-0.02711544558405876,
-0.015303654596209526,
0.07376237213611603,
0.005946079734712839,
-0.01043463870882988,
0.023793809115886688,
-0.04677421972155571,
-0.0492037832736969,
-0.033991552889347076,
-0.09400882571935654,
0.039105311036109924,
-0.009078754112124443,
-0.0205891914665699,
0.058309268206357956,
0.14052221179008484,
0.0072308313101530075,
0.02890228107571602,
-0.04524553194642067,
-0.06394113600254059,
0.045440781861543655,
-0.027400925755500793,
-0.0037300114054232836,
-0.01872437074780464,
0.06289901584386826,
-0.02435644529759884,
0.052630431950092316,
0.08471141010522842,
0.007082447875291109,
0.033833518624305725,
-0.00982740893959999,
-0.01571386307477951,
0.015658622607588768,
0.005052519962191582,
0.04933876171708107,
0.050937969237565994,
-0.036296531558036804,
0.046119675040245056,
-0.03972954675555229,
0.11159076541662216,
0.07534204423427582,
0.020219478756189346,
0.06471665948629379,
0.01923726312816143,
-0.07484163343906403,
0.06680888682603836,
0.005726777948439121,
-0.021381935104727745,
0.005930815823376179,
-0.09306240826845169,
-0.12477781623601913,
-0.017250189557671547,
0.023877359926700592,
-0.07071451097726822,
0.07267988473176956,
-0.07972128689289093,
0.01698938012123108,
-0.013391165062785149,
0.10436016321182251,
-0.017314888536930084,
0.01580263301730156,
-0.08590894937515259,
0.028683409094810486,
-0.004763469099998474,
-0.11740314215421677,
0.038022998720407486,
0.07682771235704422,
0.08556506037712097,
-0.020075272768735886,
0.03053620457649231,
0.011231846176087856,
-0.02560901641845703,
-0.010474025271832943,
-0.0059479838237166405,
0.024301685392856598,
0.046473853290081024,
0.016690975055098534,
0.07967565953731537,
-0.04086000472307205,
0.06637414544820786,
-0.02835368551313877,
0.03530162200331688,
0.03151387348771095,
0.04568324610590935,
-0.07383750379085541,
0.04690614342689514,
-0.04745253175497055,
-2.420145238355358e-33,
0.06373856961727142,
-0.06097721308469772,
-0.025553468614816666,
0.02811548113822937,
0.0195210799574852,
-0.055870164185762405,
0.04674738273024559,
-0.07283765077590942,
-0.07310077548027039,
0.026099566370248795,
0.04529163986444473,
0.023135481402277946,
-0.02661052905023098,
0.037613000720739365,
0.05744615197181702,
-0.040025897324085236,
-0.03880704194307327,
0.04894164949655533,
-0.010575846768915653,
-0.01809251867234707,
0.04102884232997894,
0.08798827230930328,
0.01722431741654873,
-0.05318787693977356,
-0.06747881323099136,
-0.010143126361072063,
-0.024806436151266098,
-0.0012292087776586413,
-0.01273254957050085,
0.0002963020815514028,
-0.009535023011267185,
0.0644402876496315,
-0.05407165735960007,
-0.0026251832023262978,
0.06242455914616585,
-0.0019274111837148666,
-0.02427571825683117,
0.0509958453476429,
-0.01624428853392601,
0.02861628495156765,
-0.05254962667822838,
-0.012092937715351582,
0.007524542510509491,
0.015313000418245792,
0.017304234206676483,
-0.04150637611746788,
-0.02581315115094185,
0.018199393525719643,
-0.07854694873094559,
-0.07249990105628967,
0.03004518896341324,
-0.05985848978161812,
-0.07281212508678436,
0.07746079564094543,
0.0900077372789383,
-0.03940270468592644,
0.07233337312936783,
-0.009383713826537132,
0.031398460268974304,
-0.09469904005527496,
0.0034752641804516315,
-0.10723720490932465,
-0.014691048301756382,
-0.09761438518762589,
-0.043814897537231445,
0.04078476130962372,
-0.0012616314925253391,
0.06380342692136765,
0.042174920439720154,
-0.050344694405794144,
-0.01853899657726288,
0.05771823599934578,
0.01772802323102951,
-0.0377265065908432,
0.06915342807769775,
0.014121385291218758,
-0.02487175352871418,
0.057791996747255325,
-0.04556618630886078,
-0.005127156153321266,
-0.02787325717508793,
0.002919516758993268,
-0.06132480502128601,
0.08131754398345947,
-0.02720513939857483,
0.01368559431284666,
-0.032636214047670364,
0.015774741768836975,
-0.13966412842273712,
-0.044171757996082306,
0.00348894321359694,
-0.0010684713488444686,
0.0900358185172081,
-0.04855391010642052,
0.006536685861647129,
-2.811802323634082e-33,
0.06633396446704865,
-0.016863815486431122,
-0.0313006192445755,
0.0040575857274234295,
0.01096065528690815,
0.017314979806542397,
0.0685713067650795,
0.025096159428358078,
0.014550914987921715,
-0.10495847463607788,
0.04166432470083237,
0.039204392582178116,
0.0058449809439480305,
0.04941080883145332,
-0.022086333483457565,
-0.015074830502271652,
-0.015487768687307835,
-0.05620580166578293,
0.11357387900352478,
-0.06921590864658356,
0.02990693598985672,
-0.05079773813486099,
-0.003957175184041262,
-0.005061045754700899,
0.05123717337846756,
0.006336735095828772,
0.0008083511493168771,
-0.010219736024737358,
-0.04196573793888092,
0.017095055431127548,
0.002654513344168663,
-0.044626351445913315,
0.05040956661105156,
0.005909621249884367,
-0.08348344266414642,
0.07727361470460892,
-0.03006679378449917,
-0.061832115054130554,
-0.019750064238905907,
-0.1255151927471161,
0.004929010756313801,
-0.018269767984747887,
0.06817328184843063,
-0.028227800503373146,
0.011606656014919281,
-0.050127968192100525,
-0.03516971692442894,
-0.04770911484956741,
-0.025406604632735252,
0.012229301035404205,
-0.019735416397452354,
0.010715977288782597,
-0.05168209597468376,
0.036225829273462296,
-0.06451467424631119,
0.055091146379709244,
0.03336256742477417,
0.041157059371471405,
0.007365724537521601,
0.07766339182853699,
-0.10214114934206009,
-0.020270531997084618,
-0.03454907611012459,
0.045784447342157364,
0.02384193241596222,
-0.04281962662935257,
-0.06630989909172058,
-0.026081284508109093,
0.06757913529872894,
-0.06133677810430527,
0.060935333371162415,
0.05061975121498108,
0.010010894387960434,
0.08254285901784897,
0.09045641124248505,
-0.05448947474360466,
-0.01384105533361435,
-0.021895235404372215,
-0.019968358799815178,
0.0762205719947815,
-0.06610259413719177,
0.01596689410507679,
-0.02510339766740799,
-0.0246640145778656,
0.06576284766197205,
-0.08075594902038574,
0.021330108866095543,
-0.06957288831472397,
-0.03403710201382637,
-0.05541040375828743,
0.08054986596107483,
-0.047253839671611786,
0.029449835419654846,
-0.08050722628831863,
0.059456150978803635,
-4.416015286778929e-8,
-0.05113401263952255,
0.052691500633955,
-0.033876631408929825,
0.07216288894414902,
-0.021104447543621063,
-0.04707597941160202,
-0.0047797635197639465,
0.08049914240837097,
0.007226128596812487,
-0.0533020906150341,
0.04211723431944847,
-0.04578668996691704,
-0.013561345636844635,
0.0015097284922376275,
0.052809938788414,
-0.06976567208766937,
0.003589025931432843,
-0.04256773367524147,
-0.0018175796139985323,
-0.0721534937620163,
-0.026089517399668694,
-0.056283947080373764,
-0.005785307381302118,
0.02234071120619774,
-0.10502587258815765,
-0.06177004426717758,
-0.04987642541527748,
0.006154701579362154,
0.010441512800753117,
-0.01085972972214222,
-0.03544241562485695,
0.011558149009943008,
0.035498782992362976,
0.09128867089748383,
-0.12230455130338669,
-0.03901400417089462,
-0.10529708862304688,
0.021053465083241463,
0.0003796786768361926,
-0.03437630832195282,
-0.0020956541411578655,
0.033800020813941956,
-0.008289423771202564,
-0.028749309480190277,
0.038071878254413605,
0.10403476655483246,
0.027080340310931206,
-0.01431182585656643,
-0.10212027281522751,
0.07518257945775986,
0.0513419583439827,
0.0699496939778328,
0.023888247087597847,
0.06884735822677612,
-0.024753153324127197,
-0.007857296615839005,
-0.054595038294792175,
0.0444299653172493,
-0.027554519474506378,
-0.006927051581442356,
-0.0021445099264383316,
0.035073231905698776,
-0.04359712824225426,
-0.015923816710710526
] |
1401.0636 | Franz X. Bronold | Elena Thiessen, Rafael L. Heinisch, Franz X. Bronold, and Holger
Fehske | Infrared light extinction by charged dielectric core-coat particles | 12 pages, 8 figures | Eur. Phys. J. D 68, 98 (2014) | 10.1140/epjd/e2014-50009-7 | null | physics.plasm-ph physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of surplus electrons on the infrared extinction of
dielectric particles with a core-coat structure and propose to use it for an
optical measurement of the particle charge in a dusty plasma. The particles
consist of an inner core with negative and an outer coat with positive electron
affinity. Both the core and the coat give rise to strong transverse optical
phonon resonances, leading to anomalous light scattering in the infrared. Due
to the radial profile of the electron affinity electrons accumulate in the coat
region making the infrared extinction of this type of particles very
charge-sensitive, in particular, the extinction due to a resonance arising
solely due to the core-coat structure. The maximum of this resonance is in the
far-infrared and responds to particle charges realizable in ordinary dusty
laboratory plasmas.
| [
{
"created": "Fri, 3 Jan 2014 12:27:36 GMT",
"version": "v1"
}
] | 2014-04-30 | [
[
"Thiessen",
"Elena",
""
],
[
"Heinisch",
"Rafael L.",
""
],
[
"Bronold",
"Franz X.",
""
],
[
"Fehske",
"Holger",
""
]
] | [
-0.0666331872344017,
0.04821305721998215,
0.006078078877180815,
0.03332469239830971,
0.02468441240489483,
0.014308233745396137,
0.06887327879667282,
0.014450655318796635,
0.027570627629756927,
0.020394964143633842,
-0.020794691517949104,
-0.09021148085594177,
-0.03071325644850731,
-0.01197339128702879,
0.02725421078503132,
-0.049861617386341095,
0.08905015140771866,
-0.013948172330856323,
0.03461122885346413,
0.037743255496025085,
-0.040539734065532684,
-0.03106004372239113,
-0.003924133256077766,
-0.10590109974145889,
0.05643044039607048,
0.007363765500485897,
0.02198338322341442,
-0.09443941712379456,
-0.06542345136404037,
-0.021152084693312645,
0.1381060630083084,
0.005210925824940205,
-0.04605232924222946,
0.05489777773618698,
0.05031488090753555,
-0.0031483180355280638,
-0.012021612375974655,
-0.029122432693839073,
-0.0031525404192507267,
0.000015952022295095958,
0.017351707443594933,
0.025482837110757828,
-0.05467059835791588,
-0.1475713551044464,
-0.006327421870082617,
-0.045125242322683334,
0.053636398166418076,
0.008349533192813396,
0.02143728733062744,
0.02047494426369667,
-0.0013068515108898282,
0.016764797270298004,
0.012600544840097427,
0.059722740203142166,
-0.029088538140058517,
0.07334297150373459,
0.06258553266525269,
-0.021791528910398483,
-0.05774461105465889,
-0.00483639445155859,
-0.05974239110946655,
-0.03870224952697754,
-0.06496447324752808,
-0.030418185517191887,
0.05029551684856415,
0.022666968405246735,
0.04315472021698952,
0.021610915660858154,
0.038553543388843536,
0.009717014618217945,
-0.020907578989863396,
0.08326958864927292,
-0.03515607491135597,
0.05041392147541046,
0.045747581869363785,
0.009003459475934505,
-0.025452107191085815,
-0.011836639605462551,
-0.04202541708946228,
-0.02413422241806984,
-0.0054029240272939205,
-0.012528268620371819,
-0.003868082072585821,
0.04797228425741196,
0.04024234041571617,
0.08168286085128784,
-0.009044359438121319,
-0.038665562868118286,
-0.07729542255401611,
0.01725395955145359,
-0.05593426525592804,
-0.013956921175122261,
-0.03352479636669159,
0.04946120083332062,
-0.05090522766113281,
0.04514263942837715,
0.06263880431652069,
0.025071188807487488,
0.007012219168245792,
0.018415648490190506,
0.04393402859568596,
-0.09967593103647232,
-0.04776865988969803,
0.02052396908402443,
-0.09468008577823639,
-0.0019798807334154844,
0.02311060018837452,
-0.008798602968454361,
-0.024580972269177437,
-0.013665071688592434,
0.06941957026720047,
-0.047794144600629807,
-0.09673329442739487,
-0.056555770337581635,
0.03576979041099548,
0.0009034008835442364,
-0.01744159124791622,
0.009795536287128925,
-0.048831190913915634,
-0.031231554225087166,
0.006252896972000599,
0.05365563929080963,
-0.03516625985503197,
0.020047517493367195,
0.05943101644515991,
0.006948196329176426,
-0.025000430643558502,
-1.7066741666779704e-33,
0.036913007497787476,
0.07325966656208038,
0.004709918517619371,
-0.1006995439529419,
-0.06842473149299622,
-0.04467788711190224,
0.03585564345121384,
0.08490043133497238,
-0.04133756086230278,
0.014567947015166283,
0.06809618324041367,
0.02204131707549095,
0.08230656385421753,
-0.07465369254350662,
0.01491258293390274,
0.0012575589353218675,
0.0158778578042984,
0.04592578485608101,
0.03553292155265808,
0.0727524682879448,
0.03362766280770302,
0.0482289083302021,
0.06294740736484528,
0.061326075345277786,
0.009035829454660416,
-0.022137008607387543,
-0.033459022641181946,
0.022445116192102432,
-0.008454540744423866,
0.022749250754714012,
0.07061595469713211,
0.11797688156366348,
0.046949319541454315,
0.09401033073663712,
-0.027239887043833733,
-0.015037897042930126,
-0.14240658283233643,
0.06132874637842178,
0.041714269667863846,
-0.014051791280508041,
-0.015010464005172253,
0.040581196546554565,
-0.027910975739359856,
0.03402158245444298,
0.003001682460308075,
-0.057758163660764694,
0.043309178203344345,
-0.09704956412315369,
0.04151797294616699,
0.002208695514127612,
-0.019448980689048767,
-0.06263549625873566,
0.05050100386142731,
0.08377168327569962,
0.06435207277536392,
0.009897107258439064,
0.09849444776773453,
-0.0008827385609038174,
0.017686372622847557,
-0.12097693979740143,
0.11782695353031158,
-0.02256973646581173,
0.05871660262346268,
-0.03397015482187271,
-0.053127698600292206,
0.051243510097265244,
-0.005479592829942703,
0.03842456638813019,
-0.007334359455853701,
-0.046030398458242416,
-0.02542111463844776,
0.07377530634403229,
0.0311221145093441,
-0.048390697687864304,
0.1076270043849945,
0.05569274723529816,
-0.012256218120455742,
0.08878345787525177,
0.09373670071363449,
-0.048003073781728745,
0.01800684630870819,
-0.029161173850297928,
-0.013055299408733845,
-0.056795526295900345,
-0.056522078812122345,
-0.026460548862814903,
0.0014559660339727998,
0.014039496891200542,
-0.06715358793735504,
-0.06295286864042282,
0.029139714315533638,
-0.03806627541780472,
-0.07493982464075089,
-0.05702301859855652,
-0.1306554079055786,
-8.597420581830281e-34,
0.09000833332538605,
0.030567875131964684,
-0.059678949415683746,
0.03279164806008339,
-0.007832852192223072,
0.021956153213977814,
0.012722179293632507,
0.09684311598539352,
-0.13640786707401276,
0.005396239459514618,
0.10448712110519409,
0.07711704075336456,
-0.06197653338313103,
0.04330325499176979,
-0.008764967322349548,
0.021106578409671783,
0.0034279862884432077,
-0.03227745741605759,
0.03005061484873295,
-0.092139333486557,
-0.049496106803417206,
-0.032553888857364655,
0.08900762349367142,
-0.029186110943555832,
0.03349708020687103,
-0.04844888299703598,
0.04953302815556526,
-0.09983591735363007,
0.02215605601668358,
-0.047123976051807404,
-0.03132500872015953,
-0.03869955241680145,
-0.02129068784415722,
-0.018215961754322052,
0.04310720041394234,
-0.015325875021517277,
0.022610219195485115,
-0.03923875093460083,
-0.02764972299337387,
-0.05415603518486023,
-0.017285658046603203,
-0.0011739956680685282,
0.048783671110868454,
-0.011913956142961979,
-0.0008839956135489047,
0.012135060504078865,
0.009264137595891953,
0.00936203170567751,
-0.03380315378308296,
-0.01694987528026104,
0.021494358777999878,
0.0020728944800794125,
0.019183505326509476,
0.03997672721743584,
-0.08206628262996674,
0.04943675547838211,
0.037235308438539505,
0.048722442239522934,
0.05254416912794113,
-0.07292142510414124,
-0.055942609906196594,
-0.02419445291161537,
0.03383403271436691,
0.05670233070850372,
-0.044242408126592636,
-0.022871125489473343,
-0.027569757774472237,
0.12168686091899872,
-0.02486710250377655,
0.026658078655600548,
0.07955000549554825,
0.046709444373846054,
-0.012553645297884941,
-0.020095670595765114,
-0.014458637684583664,
0.028004465624690056,
0.04580859839916229,
-0.038007836788892746,
-0.007690190803259611,
0.0010177891235798597,
-0.07201763987541199,
-0.030156249180436134,
-0.060669295489788055,
-0.050763215869665146,
0.1256246715784073,
-0.041483864188194275,
-0.06034845858812332,
-0.05781324580311775,
-0.03379154950380325,
-0.009798898361623287,
0.04943012818694115,
-0.019281379878520966,
0.09665867686271667,
-0.0676523819565773,
0.07234951108694077,
-4.984721257983438e-8,
0.040508661419153214,
-0.015920227393507957,
-0.0375409871339798,
0.039923157542943954,
0.09622329473495483,
-0.053622789680957794,
0.002146415412425995,
-0.03404168784618378,
-0.07608112692832947,
0.01619873382151127,
-0.016286911442875862,
0.017885174602270126,
-0.014004126191139221,
-0.021833006292581558,
0.05060015618801117,
-0.025072868913412094,
-0.061779070645570755,
-0.07085079699754715,
-0.030237913131713867,
-0.00548566086217761,
0.009829778224229813,
0.015046925283968449,
-0.009795263409614563,
0.0033693790901452303,
0.024703487753868103,
0.06907510757446289,
0.053395021706819534,
-0.16318188607692719,
-0.012545176781713963,
-0.05273430049419403,
-0.0925145074725151,
0.012446792796254158,
0.011725340969860554,
-0.08139163255691528,
-0.030174952000379562,
-0.007596575189381838,
-0.06712354719638824,
0.01795779913663864,
-0.017765777185559273,
-0.04810996353626251,
-0.04589163884520531,
-0.027733027935028076,
-0.01512070931494236,
0.00838556233793497,
0.057793669402599335,
0.045061178505420685,
-0.01296245027333498,
-0.03514883667230606,
-0.04118102416396141,
0.012998012825846672,
-0.07802291214466095,
-0.00006223284435691312,
-0.04444395378232002,
-0.022761985659599304,
-0.050503797829151154,
-0.005034931935369968,
-0.05527309700846672,
0.005091342609375715,
0.028203587979078293,
0.038069382309913635,
0.15704266726970673,
-0.027562985196709633,
-0.043708816170692444,
0.10648967325687408
] | null | null | null | null | null | null | null | [
-0.0666331872344017,
0.04821305721998215,
0.006078078877180815,
0.03332469239830971,
0.02468441240489483,
0.014308233745396137,
0.06887327879667282,
0.014450655318796635,
0.027570627629756927,
0.020394964143633842,
-0.020794691517949104,
-0.09021148085594177,
-0.03071325644850731,
-0.01197339128702879,
0.02725421078503132,
-0.049861617386341095,
0.08905015140771866,
-0.013948172330856323,
0.03461122885346413,
0.037743255496025085,
-0.040539734065532684,
-0.03106004372239113,
-0.003924133256077766,
-0.10590109974145889,
0.05643044039607048,
0.007363765500485897,
0.02198338322341442,
-0.09443941712379456,
-0.06542345136404037,
-0.021152084693312645,
0.1381060630083084,
0.005210925824940205,
-0.04605232924222946,
0.05489777773618698,
0.05031488090753555,
-0.0031483180355280638,
-0.012021612375974655,
-0.029122432693839073,
-0.0031525404192507267,
0.000015952022295095958,
0.017351707443594933,
0.025482837110757828,
-0.05467059835791588,
-0.1475713551044464,
-0.006327421870082617,
-0.045125242322683334,
0.053636398166418076,
0.008349533192813396,
0.02143728733062744,
0.02047494426369667,
-0.0013068515108898282,
0.016764797270298004,
0.012600544840097427,
0.059722740203142166,
-0.029088538140058517,
0.07334297150373459,
0.06258553266525269,
-0.021791528910398483,
-0.05774461105465889,
-0.00483639445155859,
-0.05974239110946655,
-0.03870224952697754,
-0.06496447324752808,
-0.030418185517191887,
0.05029551684856415,
0.022666968405246735,
0.04315472021698952,
0.021610915660858154,
0.038553543388843536,
0.009717014618217945,
-0.020907578989863396,
0.08326958864927292,
-0.03515607491135597,
0.05041392147541046,
0.045747581869363785,
0.009003459475934505,
-0.025452107191085815,
-0.011836639605462551,
-0.04202541708946228,
-0.02413422241806984,
-0.0054029240272939205,
-0.012528268620371819,
-0.003868082072585821,
0.04797228425741196,
0.04024234041571617,
0.08168286085128784,
-0.009044359438121319,
-0.038665562868118286,
-0.07729542255401611,
0.01725395955145359,
-0.05593426525592804,
-0.013956921175122261,
-0.03352479636669159,
0.04946120083332062,
-0.05090522766113281,
0.04514263942837715,
0.06263880431652069,
0.025071188807487488,
0.007012219168245792,
0.018415648490190506,
0.04393402859568596,
-0.09967593103647232,
-0.04776865988969803,
0.02052396908402443,
-0.09468008577823639,
-0.0019798807334154844,
0.02311060018837452,
-0.008798602968454361,
-0.024580972269177437,
-0.013665071688592434,
0.06941957026720047,
-0.047794144600629807,
-0.09673329442739487,
-0.056555770337581635,
0.03576979041099548,
0.0009034008835442364,
-0.01744159124791622,
0.009795536287128925,
-0.048831190913915634,
-0.031231554225087166,
0.006252896972000599,
0.05365563929080963,
-0.03516625985503197,
0.020047517493367195,
0.05943101644515991,
0.006948196329176426,
-0.025000430643558502,
-1.7066741666779704e-33,
0.036913007497787476,
0.07325966656208038,
0.004709918517619371,
-0.1006995439529419,
-0.06842473149299622,
-0.04467788711190224,
0.03585564345121384,
0.08490043133497238,
-0.04133756086230278,
0.014567947015166283,
0.06809618324041367,
0.02204131707549095,
0.08230656385421753,
-0.07465369254350662,
0.01491258293390274,
0.0012575589353218675,
0.0158778578042984,
0.04592578485608101,
0.03553292155265808,
0.0727524682879448,
0.03362766280770302,
0.0482289083302021,
0.06294740736484528,
0.061326075345277786,
0.009035829454660416,
-0.022137008607387543,
-0.033459022641181946,
0.022445116192102432,
-0.008454540744423866,
0.022749250754714012,
0.07061595469713211,
0.11797688156366348,
0.046949319541454315,
0.09401033073663712,
-0.027239887043833733,
-0.015037897042930126,
-0.14240658283233643,
0.06132874637842178,
0.041714269667863846,
-0.014051791280508041,
-0.015010464005172253,
0.040581196546554565,
-0.027910975739359856,
0.03402158245444298,
0.003001682460308075,
-0.057758163660764694,
0.043309178203344345,
-0.09704956412315369,
0.04151797294616699,
0.002208695514127612,
-0.019448980689048767,
-0.06263549625873566,
0.05050100386142731,
0.08377168327569962,
0.06435207277536392,
0.009897107258439064,
0.09849444776773453,
-0.0008827385609038174,
0.017686372622847557,
-0.12097693979740143,
0.11782695353031158,
-0.02256973646581173,
0.05871660262346268,
-0.03397015482187271,
-0.053127698600292206,
0.051243510097265244,
-0.005479592829942703,
0.03842456638813019,
-0.007334359455853701,
-0.046030398458242416,
-0.02542111463844776,
0.07377530634403229,
0.0311221145093441,
-0.048390697687864304,
0.1076270043849945,
0.05569274723529816,
-0.012256218120455742,
0.08878345787525177,
0.09373670071363449,
-0.048003073781728745,
0.01800684630870819,
-0.029161173850297928,
-0.013055299408733845,
-0.056795526295900345,
-0.056522078812122345,
-0.026460548862814903,
0.0014559660339727998,
0.014039496891200542,
-0.06715358793735504,
-0.06295286864042282,
0.029139714315533638,
-0.03806627541780472,
-0.07493982464075089,
-0.05702301859855652,
-0.1306554079055786,
-8.597420581830281e-34,
0.09000833332538605,
0.030567875131964684,
-0.059678949415683746,
0.03279164806008339,
-0.007832852192223072,
0.021956153213977814,
0.012722179293632507,
0.09684311598539352,
-0.13640786707401276,
0.005396239459514618,
0.10448712110519409,
0.07711704075336456,
-0.06197653338313103,
0.04330325499176979,
-0.008764967322349548,
0.021106578409671783,
0.0034279862884432077,
-0.03227745741605759,
0.03005061484873295,
-0.092139333486557,
-0.049496106803417206,
-0.032553888857364655,
0.08900762349367142,
-0.029186110943555832,
0.03349708020687103,
-0.04844888299703598,
0.04953302815556526,
-0.09983591735363007,
0.02215605601668358,
-0.047123976051807404,
-0.03132500872015953,
-0.03869955241680145,
-0.02129068784415722,
-0.018215961754322052,
0.04310720041394234,
-0.015325875021517277,
0.022610219195485115,
-0.03923875093460083,
-0.02764972299337387,
-0.05415603518486023,
-0.017285658046603203,
-0.0011739956680685282,
0.048783671110868454,
-0.011913956142961979,
-0.0008839956135489047,
0.012135060504078865,
0.009264137595891953,
0.00936203170567751,
-0.03380315378308296,
-0.01694987528026104,
0.021494358777999878,
0.0020728944800794125,
0.019183505326509476,
0.03997672721743584,
-0.08206628262996674,
0.04943675547838211,
0.037235308438539505,
0.048722442239522934,
0.05254416912794113,
-0.07292142510414124,
-0.055942609906196594,
-0.02419445291161537,
0.03383403271436691,
0.05670233070850372,
-0.044242408126592636,
-0.022871125489473343,
-0.027569757774472237,
0.12168686091899872,
-0.02486710250377655,
0.026658078655600548,
0.07955000549554825,
0.046709444373846054,
-0.012553645297884941,
-0.020095670595765114,
-0.014458637684583664,
0.028004465624690056,
0.04580859839916229,
-0.038007836788892746,
-0.007690190803259611,
0.0010177891235798597,
-0.07201763987541199,
-0.030156249180436134,
-0.060669295489788055,
-0.050763215869665146,
0.1256246715784073,
-0.041483864188194275,
-0.06034845858812332,
-0.05781324580311775,
-0.03379154950380325,
-0.009798898361623287,
0.04943012818694115,
-0.019281379878520966,
0.09665867686271667,
-0.0676523819565773,
0.07234951108694077,
-4.984721257983438e-8,
0.040508661419153214,
-0.015920227393507957,
-0.0375409871339798,
0.039923157542943954,
0.09622329473495483,
-0.053622789680957794,
0.002146415412425995,
-0.03404168784618378,
-0.07608112692832947,
0.01619873382151127,
-0.016286911442875862,
0.017885174602270126,
-0.014004126191139221,
-0.021833006292581558,
0.05060015618801117,
-0.025072868913412094,
-0.061779070645570755,
-0.07085079699754715,
-0.030237913131713867,
-0.00548566086217761,
0.009829778224229813,
0.015046925283968449,
-0.009795263409614563,
0.0033693790901452303,
0.024703487753868103,
0.06907510757446289,
0.053395021706819534,
-0.16318188607692719,
-0.012545176781713963,
-0.05273430049419403,
-0.0925145074725151,
0.012446792796254158,
0.011725340969860554,
-0.08139163255691528,
-0.030174952000379562,
-0.007596575189381838,
-0.06712354719638824,
0.01795779913663864,
-0.017765777185559273,
-0.04810996353626251,
-0.04589163884520531,
-0.027733027935028076,
-0.01512070931494236,
0.00838556233793497,
0.057793669402599335,
0.045061178505420685,
-0.01296245027333498,
-0.03514883667230606,
-0.04118102416396141,
0.012998012825846672,
-0.07802291214466095,
-0.00006223284435691312,
-0.04444395378232002,
-0.022761985659599304,
-0.050503797829151154,
-0.005034931935369968,
-0.05527309700846672,
0.005091342609375715,
0.028203587979078293,
0.038069382309913635,
0.15704266726970673,
-0.027562985196709633,
-0.043708816170692444,
0.10648967325687408
] |
1401.0640 | Tarek El-Shishtawy Ahmed | Fatma El-Ghannam and Tarek El-Shishtawy | Multi-Topic Multi-Document Summarizer | null | International Journal of Computer Science & Information Technology
(IJCSIT) Vol 5, No 6, December 2013 | 10.5121/ijcsit | null | cs.CL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Current multi-document summarization systems can successfully extract summary
sentences, however with many limitations including: low coverage, inaccurate
extraction to important sentences, redundancy and poor coherence among the
selected sentences. The present study introduces a new concept of centroid
approach and reports new techniques for extracting summary sentences for
multi-document. In both techniques keyphrases are used to weigh sentences and
documents. The first summarization technique (Sen-Rich) prefers maximum
richness sentences. While the second (Doc-Rich), prefers sentences from
centroid document. To demonstrate the new summarization system application to
extract summaries of Arabic documents we performed two experiments. First, we
applied Rouge measure to compare the new techniques among systems presented at
TAC2011. The results show that Sen-Rich outperformed all systems in ROUGE-S.
Second, the system was applied to summarize multi-topic documents. Using human
evaluators, the results show that Doc-Rich is the superior, where summary
sentences characterized by extra coverage and more cohesion.
| [
{
"created": "Fri, 3 Jan 2014 13:07:29 GMT",
"version": "v1"
}
] | 2014-01-06 | [
[
"El-Ghannam",
"Fatma",
""
],
[
"El-Shishtawy",
"Tarek",
""
]
] | [
-0.012495988979935646,
0.03617328032851219,
0.00727334339171648,
-0.0076639000326395035,
0.05081911012530327,
0.04954589158296585,
0.0009084150078706443,
-0.038689520210027695,
0.09102461487054825,
0.047082025557756424,
-0.003311947686597705,
0.03206731751561165,
0.08656612038612366,
-0.003623255994170904,
0.005517409648746252,
-0.011056494899094105,
0.06333170086145401,
0.039585355669260025,
-0.09101525694131851,
-0.1063941940665245,
0.04955783858895302,
0.06584522873163223,
0.08757024258375168,
0.010238997638225555,
0.0013270381605252624,
-0.0032120770774781704,
-0.09231758862733841,
0.00045172791578806937,
-0.0055627766996622086,
-0.0043191672302782536,
0.031202808022499084,
0.049611058086156845,
0.0196645800024271,
0.07481737434864044,
-0.03507686406373978,
0.014573889784514904,
-0.06854775547981262,
0.07810759544372559,
0.05966448038816452,
0.05676420032978058,
-0.012051627039909363,
-0.024769360199570656,
0.03534412756562233,
0.031463202089071274,
0.07135181874036789,
0.008472779765725136,
-0.12332721054553986,
0.0026864500250667334,
0.07618348300457001,
0.031344179064035416,
-0.143667533993721,
0.05541880801320076,
-0.006211336702108383,
0.04397257789969444,
0.01885770447552204,
0.006075258832424879,
-0.05406546965241432,
0.03573307394981384,
-0.031973518431186676,
-0.15033720433712006,
-0.031157273799180984,
-0.028470493853092194,
-0.014427827671170235,
-0.0077951811254024506,
0.08516975492238998,
-0.0567656084895134,
0.0679263100028038,
0.02854682132601738,
-0.027111778035759926,
0.007997698150575161,
-0.018702803179621696,
0.05541368946433067,
0.024127580225467682,
0.06326735019683838,
-0.09914623200893402,
0.0850127562880516,
-0.040960893034935,
-0.08348048478364944,
-0.038251228630542755,
0.03073146380484104,
-0.010267083533108234,
0.03805823624134064,
0.052809566259384155,
0.025996530428528786,
0.03629344701766968,
0.0183444544672966,
0.008023995906114578,
-0.02614361047744751,
-0.09293947368860245,
0.052504830062389374,
-0.021237285807728767,
-0.012927697040140629,
0.1028151884675026,
0.006763823796063662,
0.0021982083562761545,
-0.024980247020721436,
-0.03241502493619919,
-0.0641750618815422,
0.02016625925898552,
0.08338113129138947,
0.05067765340209007,
0.0011196781415492296,
0.0464000329375267,
-0.12550710141658783,
-0.023162944242358208,
-0.010885896161198616,
0.03656809404492378,
-0.010877164080739021,
-0.001337790978141129,
-0.046867724508047104,
0.0005911125335842371,
0.04147107154130936,
-0.04857061058282852,
-0.047834936529397964,
0.0014362275833263993,
0.0023682862520217896,
0.06306473165750504,
0.008207093924283981,
0.08324018865823746,
0.0035509616136550903,
-0.017436765134334564,
-0.070438914000988,
0.10853233188390732,
0.0015498560387641191,
-0.014812233857810497,
0.03750711306929588,
0.04030463099479675,
6.374645253081801e-34,
-0.026188785210251808,
-0.018063999712467194,
-0.04826812073588371,
0.08331301063299179,
-0.10895069688558578,
-0.037866923958063126,
-0.03872856870293617,
0.02627016417682171,
-0.055760957300662994,
-0.02329362742602825,
0.030129285529255867,
0.03584339842200279,
-0.019052693620324135,
0.014095986261963844,
0.02446192502975464,
0.01648227497935295,
0.026357825845479965,
0.030716653913259506,
-0.04670888930559158,
-0.028316810727119446,
0.006362784653902054,
0.005143847316503525,
0.10953005403280258,
-0.036931537091732025,
-0.010192959569394588,
0.009057222865521908,
0.055155299603939056,
-0.0580129399895668,
-0.032556142657995224,
0.03733508288860321,
-0.007558304816484451,
-0.05041676014661789,
0.006466248072683811,
-0.02283186838030815,
-0.03209259733557701,
0.01706467755138874,
-0.09946735948324203,
-0.023802464827895164,
-0.004329638089984655,
-0.04099142551422119,
-0.14149796962738037,
-0.033528778702020645,
0.08419987559318542,
-0.09782145172357559,
0.04632170870900154,
0.07528100907802582,
-0.022855354472994804,
0.00402152119204402,
0.10188651829957962,
-0.050066832453012466,
0.02072569727897644,
-0.017955759540200233,
0.023626752197742462,
0.029166441410779953,
0.011676127091050148,
0.00807573739439249,
0.021443521603941917,
-0.0053747850470244884,
0.013676309958100319,
0.04205989092588425,
-0.06421104073524475,
0.02527078613638878,
-0.015262014232575893,
0.05057530850172043,
0.07726586610078812,
0.010502303950488567,
-0.0010528480634093285,
0.07475338131189346,
0.06035306304693222,
0.00929187797009945,
0.004175987094640732,
0.03249666839838028,
-0.003799016121774912,
0.04131998494267464,
0.010300527326762676,
0.06329112499952316,
0.047125063836574554,
-0.05819382518529892,
0.009647827595472336,
-0.01696903631091118,
0.024451831355690956,
-0.009656446054577827,
0.15273331105709076,
-0.058093391358852386,
-0.053074873983860016,
0.08875871449708939,
0.05736779421567917,
0.012307102791965008,
0.0371289886534214,
-0.04869997128844261,
0.03328705579042435,
0.06169020012021065,
-0.037656452506780624,
-0.03295911103487015,
0.0117720328271389,
-1.278882201383977e-33,
-0.03334798663854599,
-0.02227046899497509,
-0.09454643726348877,
0.03570978716015816,
-0.01898244395852089,
-0.005322157870978117,
-0.04055221006274223,
-0.026827195659279823,
-0.025903157889842987,
-0.028478439897298813,
-0.003913837485015392,
-0.09602389484643936,
0.0488615408539772,
-0.06711404025554657,
0.027189215645194054,
-0.037094440311193466,
0.025341911241412163,
-0.026805516332387924,
-0.009089037775993347,
0.11629553884267807,
0.01208948902785778,
0.021993039175868034,
0.005621209274977446,
0.01654435694217682,
-0.0011753087164834142,
-0.021283365786075592,
-0.030080143362283707,
-0.014197398908436298,
-0.06373801827430725,
-0.01641436107456684,
0.03507212549448013,
-0.017884602770209312,
-0.07519573718309402,
0.03768177330493927,
-0.07639376074075699,
-0.04582367464900017,
-0.002288891701027751,
-0.04235551506280899,
-0.06442319601774216,
0.10351503640413284,
0.037412047386169434,
0.0522417314350605,
0.038011450320482254,
-0.09890222549438477,
-0.09283218532800674,
-0.019732648506760597,
-0.1098821610212326,
-0.018756428733468056,
-0.003103397786617279,
-0.00009302759281126782,
-0.052376534789800644,
-0.021265966817736626,
-0.0708579495549202,
-0.03289829194545746,
0.003201289102435112,
-0.03774327039718628,
-0.011879217810928822,
-0.027125675231218338,
-0.056304458528757095,
-0.08399469405412674,
-0.09892568737268448,
0.05904645472764969,
-0.00763790775090456,
-0.02667054906487465,
0.05780813470482826,
-0.08141390979290009,
0.042435672134160995,
-0.06589747220277786,
-0.08560475707054138,
0.02966543473303318,
0.0435931421816349,
-0.04996783658862114,
-0.010361661203205585,
-0.01978442817926407,
0.013861449435353279,
0.045644331723451614,
0.003123086877167225,
-0.015696050599217415,
-0.07660719752311707,
-0.10001430660486221,
0.0370933972299099,
-0.033427074551582336,
0.037372373044490814,
-0.027656931430101395,
0.037102654576301575,
0.060517460107803345,
-0.007720637135207653,
0.009490728378295898,
0.013593536801636219,
0.06560246646404266,
-0.051844481378793716,
-0.019979842007160187,
0.013464857824146748,
0.004131958354264498,
-0.037690214812755585,
-3.935143055855406e-8,
-0.042588867247104645,
0.014166303910315037,
-0.07569749653339386,
0.020491836592555046,
-0.016293982043862343,
-0.019637558609247208,
-0.06205735728144646,
0.054336268454790115,
-0.013669483363628387,
-0.037367936223745346,
-0.009000522084534168,
-0.059422917664051056,
-0.09875821322202682,
0.011690559796988964,
-0.04680900275707245,
0.07161381840705872,
-0.019152432680130005,
0.03518279269337654,
0.015536995604634285,
-0.07368534803390503,
0.03597117215394974,
0.016232384368777275,
-0.009139603935182095,
-0.026236042380332947,
-0.04158138111233711,
0.07955284416675568,
-0.06214700639247894,
0.10360889881849289,
0.028267454355955124,
-0.03565094247460365,
0.07598396390676498,
0.030210096389055252,
-0.06742561608552933,
-0.041016727685928345,
0.04770161211490631,
0.10095245391130447,
0.029670771211385727,
0.09797347337007523,
-0.013239199295639992,
0.043921131640672684,
0.05577365309000015,
0.04703148081898689,
-0.008361076936125755,
0.04089401289820671,
0.059885989874601364,
-0.07274295389652252,
-0.05523451417684555,
-0.035556819289922714,
0.049023114144802094,
-0.02813384123146534,
0.06641523540019989,
-0.15239274501800537,
0.024503352120518684,
0.0333612859249115,
0.05073520541191101,
0.001997398678213358,
0.06228536739945412,
-0.04708748310804367,
0.10727497935295105,
-0.020349545404314995,
0.08842404186725616,
0.013578573241829872,
-0.03216466307640076,
0.024326445534825325
] | null | null | null | null | null | null | null | [
-0.012495988979935646,
0.03617328032851219,
0.00727334339171648,
-0.0076639000326395035,
0.05081911012530327,
0.04954589158296585,
0.0009084150078706443,
-0.038689520210027695,
0.09102461487054825,
0.047082025557756424,
-0.003311947686597705,
0.03206731751561165,
0.08656612038612366,
-0.003623255994170904,
0.005517409648746252,
-0.011056494899094105,
0.06333170086145401,
0.039585355669260025,
-0.09101525694131851,
-0.1063941940665245,
0.04955783858895302,
0.06584522873163223,
0.08757024258375168,
0.010238997638225555,
0.0013270381605252624,
-0.0032120770774781704,
-0.09231758862733841,
0.00045172791578806937,
-0.0055627766996622086,
-0.0043191672302782536,
0.031202808022499084,
0.049611058086156845,
0.0196645800024271,
0.07481737434864044,
-0.03507686406373978,
0.014573889784514904,
-0.06854775547981262,
0.07810759544372559,
0.05966448038816452,
0.05676420032978058,
-0.012051627039909363,
-0.024769360199570656,
0.03534412756562233,
0.031463202089071274,
0.07135181874036789,
0.008472779765725136,
-0.12332721054553986,
0.0026864500250667334,
0.07618348300457001,
0.031344179064035416,
-0.143667533993721,
0.05541880801320076,
-0.006211336702108383,
0.04397257789969444,
0.01885770447552204,
0.006075258832424879,
-0.05406546965241432,
0.03573307394981384,
-0.031973518431186676,
-0.15033720433712006,
-0.031157273799180984,
-0.028470493853092194,
-0.014427827671170235,
-0.0077951811254024506,
0.08516975492238998,
-0.0567656084895134,
0.0679263100028038,
0.02854682132601738,
-0.027111778035759926,
0.007997698150575161,
-0.018702803179621696,
0.05541368946433067,
0.024127580225467682,
0.06326735019683838,
-0.09914623200893402,
0.0850127562880516,
-0.040960893034935,
-0.08348048478364944,
-0.038251228630542755,
0.03073146380484104,
-0.010267083533108234,
0.03805823624134064,
0.052809566259384155,
0.025996530428528786,
0.03629344701766968,
0.0183444544672966,
0.008023995906114578,
-0.02614361047744751,
-0.09293947368860245,
0.052504830062389374,
-0.021237285807728767,
-0.012927697040140629,
0.1028151884675026,
0.006763823796063662,
0.0021982083562761545,
-0.024980247020721436,
-0.03241502493619919,
-0.0641750618815422,
0.02016625925898552,
0.08338113129138947,
0.05067765340209007,
0.0011196781415492296,
0.0464000329375267,
-0.12550710141658783,
-0.023162944242358208,
-0.010885896161198616,
0.03656809404492378,
-0.010877164080739021,
-0.001337790978141129,
-0.046867724508047104,
0.0005911125335842371,
0.04147107154130936,
-0.04857061058282852,
-0.047834936529397964,
0.0014362275833263993,
0.0023682862520217896,
0.06306473165750504,
0.008207093924283981,
0.08324018865823746,
0.0035509616136550903,
-0.017436765134334564,
-0.070438914000988,
0.10853233188390732,
0.0015498560387641191,
-0.014812233857810497,
0.03750711306929588,
0.04030463099479675,
6.374645253081801e-34,
-0.026188785210251808,
-0.018063999712467194,
-0.04826812073588371,
0.08331301063299179,
-0.10895069688558578,
-0.037866923958063126,
-0.03872856870293617,
0.02627016417682171,
-0.055760957300662994,
-0.02329362742602825,
0.030129285529255867,
0.03584339842200279,
-0.019052693620324135,
0.014095986261963844,
0.02446192502975464,
0.01648227497935295,
0.026357825845479965,
0.030716653913259506,
-0.04670888930559158,
-0.028316810727119446,
0.006362784653902054,
0.005143847316503525,
0.10953005403280258,
-0.036931537091732025,
-0.010192959569394588,
0.009057222865521908,
0.055155299603939056,
-0.0580129399895668,
-0.032556142657995224,
0.03733508288860321,
-0.007558304816484451,
-0.05041676014661789,
0.006466248072683811,
-0.02283186838030815,
-0.03209259733557701,
0.01706467755138874,
-0.09946735948324203,
-0.023802464827895164,
-0.004329638089984655,
-0.04099142551422119,
-0.14149796962738037,
-0.033528778702020645,
0.08419987559318542,
-0.09782145172357559,
0.04632170870900154,
0.07528100907802582,
-0.022855354472994804,
0.00402152119204402,
0.10188651829957962,
-0.050066832453012466,
0.02072569727897644,
-0.017955759540200233,
0.023626752197742462,
0.029166441410779953,
0.011676127091050148,
0.00807573739439249,
0.021443521603941917,
-0.0053747850470244884,
0.013676309958100319,
0.04205989092588425,
-0.06421104073524475,
0.02527078613638878,
-0.015262014232575893,
0.05057530850172043,
0.07726586610078812,
0.010502303950488567,
-0.0010528480634093285,
0.07475338131189346,
0.06035306304693222,
0.00929187797009945,
0.004175987094640732,
0.03249666839838028,
-0.003799016121774912,
0.04131998494267464,
0.010300527326762676,
0.06329112499952316,
0.047125063836574554,
-0.05819382518529892,
0.009647827595472336,
-0.01696903631091118,
0.024451831355690956,
-0.009656446054577827,
0.15273331105709076,
-0.058093391358852386,
-0.053074873983860016,
0.08875871449708939,
0.05736779421567917,
0.012307102791965008,
0.0371289886534214,
-0.04869997128844261,
0.03328705579042435,
0.06169020012021065,
-0.037656452506780624,
-0.03295911103487015,
0.0117720328271389,
-1.278882201383977e-33,
-0.03334798663854599,
-0.02227046899497509,
-0.09454643726348877,
0.03570978716015816,
-0.01898244395852089,
-0.005322157870978117,
-0.04055221006274223,
-0.026827195659279823,
-0.025903157889842987,
-0.028478439897298813,
-0.003913837485015392,
-0.09602389484643936,
0.0488615408539772,
-0.06711404025554657,
0.027189215645194054,
-0.037094440311193466,
0.025341911241412163,
-0.026805516332387924,
-0.009089037775993347,
0.11629553884267807,
0.01208948902785778,
0.021993039175868034,
0.005621209274977446,
0.01654435694217682,
-0.0011753087164834142,
-0.021283365786075592,
-0.030080143362283707,
-0.014197398908436298,
-0.06373801827430725,
-0.01641436107456684,
0.03507212549448013,
-0.017884602770209312,
-0.07519573718309402,
0.03768177330493927,
-0.07639376074075699,
-0.04582367464900017,
-0.002288891701027751,
-0.04235551506280899,
-0.06442319601774216,
0.10351503640413284,
0.037412047386169434,
0.0522417314350605,
0.038011450320482254,
-0.09890222549438477,
-0.09283218532800674,
-0.019732648506760597,
-0.1098821610212326,
-0.018756428733468056,
-0.003103397786617279,
-0.00009302759281126782,
-0.052376534789800644,
-0.021265966817736626,
-0.0708579495549202,
-0.03289829194545746,
0.003201289102435112,
-0.03774327039718628,
-0.011879217810928822,
-0.027125675231218338,
-0.056304458528757095,
-0.08399469405412674,
-0.09892568737268448,
0.05904645472764969,
-0.00763790775090456,
-0.02667054906487465,
0.05780813470482826,
-0.08141390979290009,
0.042435672134160995,
-0.06589747220277786,
-0.08560475707054138,
0.02966543473303318,
0.0435931421816349,
-0.04996783658862114,
-0.010361661203205585,
-0.01978442817926407,
0.013861449435353279,
0.045644331723451614,
0.003123086877167225,
-0.015696050599217415,
-0.07660719752311707,
-0.10001430660486221,
0.0370933972299099,
-0.033427074551582336,
0.037372373044490814,
-0.027656931430101395,
0.037102654576301575,
0.060517460107803345,
-0.007720637135207653,
0.009490728378295898,
0.013593536801636219,
0.06560246646404266,
-0.051844481378793716,
-0.019979842007160187,
0.013464857824146748,
0.004131958354264498,
-0.037690214812755585,
-3.935143055855406e-8,
-0.042588867247104645,
0.014166303910315037,
-0.07569749653339386,
0.020491836592555046,
-0.016293982043862343,
-0.019637558609247208,
-0.06205735728144646,
0.054336268454790115,
-0.013669483363628387,
-0.037367936223745346,
-0.009000522084534168,
-0.059422917664051056,
-0.09875821322202682,
0.011690559796988964,
-0.04680900275707245,
0.07161381840705872,
-0.019152432680130005,
0.03518279269337654,
0.015536995604634285,
-0.07368534803390503,
0.03597117215394974,
0.016232384368777275,
-0.009139603935182095,
-0.026236042380332947,
-0.04158138111233711,
0.07955284416675568,
-0.06214700639247894,
0.10360889881849289,
0.028267454355955124,
-0.03565094247460365,
0.07598396390676498,
0.030210096389055252,
-0.06742561608552933,
-0.041016727685928345,
0.04770161211490631,
0.10095245391130447,
0.029670771211385727,
0.09797347337007523,
-0.013239199295639992,
0.043921131640672684,
0.05577365309000015,
0.04703148081898689,
-0.008361076936125755,
0.04089401289820671,
0.059885989874601364,
-0.07274295389652252,
-0.05523451417684555,
-0.035556819289922714,
0.049023114144802094,
-0.02813384123146534,
0.06641523540019989,
-0.15239274501800537,
0.024503352120518684,
0.0333612859249115,
0.05073520541191101,
0.001997398678213358,
0.06228536739945412,
-0.04708748310804367,
0.10727497935295105,
-0.020349545404314995,
0.08842404186725616,
0.013578573241829872,
-0.03216466307640076,
0.024326445534825325
] |
1401.0642 | Uri Levy | Uri Levy and Yaron Silberberg | Electrical-Field Distributions in Waveguide Arrays - Exact and
Approximate | 93 pages, 67 figures | null | null | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Five methods of calculating electrical field distributions in one dimensional
wave-guide arrays are reviewed. We analytically solve the scalar Helmholtz
Equation and, based on the computed Bloch functions and associated bands of
propagation constants, generate the exact field distribution maps. For the
approximated slowly varying envelope equation we show that the base Bloch
functions are identical to those in the exact case, and study the differences
in the bands of propagation constants. We demonstrate that by selecting the
reference refractive index value, it is possible to minimize the error in
propagation constants of any desired band. For the distributions calculated by
the coupled mode theory, we reveal the similarity and differences of the band
made of eigenvalues of the coupled mode equations matrix when compared to the
first band of propagation constants found by the exact solution. Analysis of
two numeric beam propagation methods shows that the relative accuracy of the
calculated field distributions of each of these methods depends on excitation
conditions. The presented analysis of the slowly varying envelope equation
provides guide lines for selecting the value of the reference refractive index
to be incorporated in these numeric methods where an analytic solution is
difficult to work out or in the frequently occurring cases where an analytic
solution does not exist at all.
| [
{
"created": "Fri, 3 Jan 2014 13:12:38 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jan 2014 07:28:28 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Feb 2014 10:38:38 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Mar 2014 15:57:04 GMT",
"version": "v4"
}
] | 2014-03-24 | [
[
"Levy",
"Uri",
""
],
[
"Silberberg",
"Yaron",
""
]
] | [
0.03802116587758064,
0.013804539106786251,
0.03910280764102936,
0.015789154917001724,
-0.046956807374954224,
-0.07668744772672653,
-0.0017433793982490897,
-0.025500254705548286,
-0.08682383596897125,
-0.0163112785667181,
0.021226782351732254,
-0.02667226269841194,
-0.015329391695559025,
-0.018134072422981262,
0.0634302943944931,
-0.038600318133831024,
-0.05746517702937126,
-0.014019331894814968,
0.013884056359529495,
0.0587499625980854,
0.023292018100619316,
-0.02404668740928173,
-0.09230253100395203,
-0.13223154842853546,
0.0189114548265934,
-0.012174931354820728,
0.01147343497723341,
-0.036202773451805115,
-0.018763776868581772,
0.01651998981833458,
0.04889222979545593,
0.1139785647392273,
-0.06860793381929398,
-0.011197131127119064,
-0.1525314897298813,
-0.03417900204658508,
0.09980133920907974,
-0.0005395924672484398,
-0.02981235273182392,
0.0291239395737648,
0.028672531247138977,
0.09989771991968155,
-0.03322645649313927,
0.057769566774368286,
0.07046568393707275,
-0.07832712680101395,
-0.010724140331149101,
-0.04430573806166649,
-0.03058907389640808,
-0.021042216569185257,
0.01985975168645382,
0.030713897198438644,
-0.030969861894845963,
0.0006137344753369689,
0.12076806277036667,
0.0246589295566082,
0.021174931898713112,
0.07022828608751297,
-0.000582394830416888,
0.004818863235414028,
0.001909522688947618,
-0.026443220674991608,
0.007894611917436123,
-0.07380162179470062,
-0.011344936676323414,
0.015213247388601303,
0.018352705985307693,
-0.0065222871489822865,
0.008701466955244541,
-0.03436833620071411,
-0.002411965746432543,
-0.026618514209985733,
0.04028381407260895,
-0.012467104010283947,
-0.009432912804186344,
0.0035926620475947857,
-0.05209215730428696,
0.08114819973707199,
-0.04704306647181511,
-0.030786776915192604,
-0.009762869216501713,
-0.0012230766005814075,
-0.05663016065955162,
-0.05568327382206917,
0.027763988822698593,
0.005198358092457056,
-0.09049505740404129,
0.0030445698648691177,
-0.03990210220217705,
-0.011210029013454914,
0.061181455850601196,
-0.05543294921517372,
-0.08409930020570755,
-0.058328960090875626,
0.02102949470281601,
-0.0491451695561409,
0.034522805362939835,
-0.02531193383038044,
0.009686817415058613,
-0.0035369484685361385,
-0.014710321091115475,
-0.07109780609607697,
-0.06353770196437836,
0.01629693992435932,
-0.043934840708971024,
-0.006805141922086477,
0.0469525121152401,
0.11395898461341858,
-0.15072213113307953,
0.017427727580070496,
-0.024793706834316254,
0.015594987198710442,
-0.01698993518948555,
0.021922649815678596,
-0.004558351822197437,
-0.04428844526410103,
-0.014985688030719757,
0.08131377398967743,
0.07418409734964371,
0.04634103924036026,
0.028589578345417976,
0.027979467064142227,
0.08462677150964737,
0.05373978614807129,
0.008403372019529343,
0.03348105028271675,
0.021600287407636642,
2.9760679245989038e-33,
0.009590476751327515,
0.09028597176074982,
0.011315579526126385,
0.02665020525455475,
0.03251395374536514,
-0.03590961545705795,
0.06527367979288101,
0.08325432240962982,
0.06844574958086014,
-0.0016694871010258794,
-0.006658752914518118,
0.13177882134914398,
-0.027911296114325523,
0.006047062110155821,
0.028652271255850792,
0.014371378347277641,
-0.011416303925216198,
0.011659329757094383,
-0.008232398889958858,
0.01541110035032034,
0.01261916384100914,
-0.015665289014577866,
0.006651707459241152,
-0.052808262407779694,
-0.027311595156788826,
-0.05043334141373634,
-0.013489463366568089,
0.01767304539680481,
-0.0615866556763649,
0.0038885988760739565,
0.08068108558654785,
0.035187963396310806,
0.0368131548166275,
-0.023712562397122383,
0.10068859159946442,
0.015260077081620693,
0.0750863254070282,
0.044568128883838654,
-0.04190167784690857,
-0.05468911677598953,
-0.01898655667901039,
0.0022465481888502836,
0.09303346276283264,
0.08229256421327591,
-0.005947527941316366,
-0.010051517747342587,
-0.04713913053274155,
0.01813603937625885,
0.11624129116535187,
-0.009250286966562271,
-0.014837571419775486,
-0.11497513204813004,
0.01417476125061512,
0.0678301751613617,
0.026178879663348198,
0.026929600164294243,
-0.018359240144491196,
0.018645038828253746,
-0.04422155022621155,
-0.0603114515542984,
0.05199373513460159,
-0.024434015154838562,
0.018031107261776924,
0.0218910351395607,
0.02812521904706955,
-0.04535004869103432,
-0.02741253562271595,
-0.0029534948989748955,
-0.0800371989607811,
0.010880148969590664,
0.09627941995859146,
0.07421649247407913,
-0.05375843867659569,
-0.07286378741264343,
0.022682473063468933,
-0.04691838100552559,
-0.027968034148216248,
0.01893356442451477,
-0.012852240353822708,
-0.010919635184109211,
-0.045932162553071976,
0.06840350478887558,
-0.03857385739684105,
-0.00570312375202775,
-0.020359143614768982,
0.06310724467039108,
0.03362369164824486,
0.0002603054163046181,
-0.03001813404262066,
-0.09237527847290039,
-0.018210824579000473,
0.03985169529914856,
0.0135487150400877,
-0.06743212789297104,
0.012062329798936844,
-4.968662174002187e-33,
0.0189371220767498,
0.009233140386641026,
0.1016688197851181,
-0.04173056781291962,
0.0611049085855484,
0.0341930091381073,
0.06686616688966751,
0.08707151561975479,
0.11435085535049438,
-0.04796020686626434,
0.03143276646733284,
-0.01890251785516739,
-0.09647808223962784,
-0.004487733822315931,
0.0036982777528464794,
0.0034213801845908165,
-0.034950289875268936,
-0.04225518926978111,
0.06130063906311989,
-0.05021471157670021,
-0.02555963024497032,
-0.08780825883150101,
0.07408321648836136,
0.037200283259153366,
-0.08101008832454681,
-0.039674825966358185,
0.033730171620845795,
0.042958442121744156,
-0.04855847731232643,
-0.032043635845184326,
0.015604265034198761,
0.06365486234426498,
0.047358106821775436,
0.004267896059900522,
-0.010131600312888622,
0.11484795063734055,
-0.03154623880982399,
-0.06656056642532349,
0.005984947085380554,
0.032040804624557495,
-0.03688838332891464,
0.042480334639549255,
0.013682796619832516,
-0.12811042368412018,
-0.00208845641463995,
0.034049998968839645,
0.053825169801712036,
-0.02738736942410469,
-0.01037423126399517,
-0.03844448924064636,
0.028504753485322,
-0.024589778855443,
-0.07381930947303772,
0.0039044171571731567,
-0.029731540009379387,
0.04997571185231209,
-0.06575439870357513,
0.014079403132200241,
0.05630183964967728,
0.0033713318407535553,
0.023509345948696136,
-0.08259687572717667,
0.06687354296445847,
0.021941404789686203,
-0.01454305462539196,
-0.0035585411824285984,
0.03024967387318611,
-0.09695352613925934,
0.03478359803557396,
0.056949615478515625,
-0.006440584547817707,
-0.04913590848445892,
0.03864693641662598,
0.024293188005685806,
-0.015073689632117748,
-0.12298115342855453,
-0.018602799624204636,
-0.0017548667965456843,
-0.060916077345609665,
-0.006965717766433954,
0.1058373972773552,
0.02422965131700039,
-0.03484069183468819,
-0.004130805376917124,
-0.047928646206855774,
0.013562832027673721,
0.024071000516414642,
-0.04124165698885918,
-0.03600526601076126,
0.03856530040502548,
0.04540134221315384,
-0.005279134958982468,
0.021415749564766884,
-0.0003849433269351721,
0.06623809039592743,
-5.926191803951042e-8,
0.06761091947555542,
-0.038284946233034134,
-0.06395561993122101,
-0.0621849000453949,
0.04319313168525696,
-0.05732925981283188,
-0.09230125695466995,
-0.11532645672559738,
0.039585743099451065,
-0.13497938215732574,
0.062370095402002335,
-0.06552176177501678,
-0.05918092280626297,
-0.04958301782608032,
0.006350095383822918,
-0.0020811862777918577,
-0.025551682338118553,
-0.0858856812119484,
-0.004286366049200296,
0.05550583079457283,
-0.02472582645714283,
0.0268595851957798,
0.0006394985248334706,
-0.06288550049066544,
0.013750609010457993,
0.020533811300992966,
-0.09725984930992126,
-0.03519975394010544,
0.086634561419487,
0.09644832462072372,
0.0037965846713632345,
-0.048757266253232956,
0.02038973942399025,
0.07308675348758698,
-0.08195566385984421,
0.000013835684512741864,
-0.015112058259546757,
-0.05444712191820145,
-0.04091136157512665,
0.03337794169783592,
0.018939506262540817,
0.02805354818701744,
0.0511617474257946,
0.0009367832681164145,
0.14335283637046814,
0.017202071845531464,
0.07502753287553787,
0.11599228531122208,
0.029668740928173065,
-0.0045609078370034695,
-0.007830880582332611,
0.022179925814270973,
-0.04807212948799133,
-0.05785107612609863,
0.009348375722765923,
-0.08480191230773926,
-0.09543538093566895,
0.01505911722779274,
0.0808393582701683,
-0.037554383277893066,
-0.03851107880473137,
0.039010513573884964,
0.0010932646691799164,
0.0305109191685915
] | null | null | null | null | null | null | null | [
0.03802116587758064,
0.013804539106786251,
0.03910280764102936,
0.015789154917001724,
-0.046956807374954224,
-0.07668744772672653,
-0.0017433793982490897,
-0.025500254705548286,
-0.08682383596897125,
-0.0163112785667181,
0.021226782351732254,
-0.02667226269841194,
-0.015329391695559025,
-0.018134072422981262,
0.0634302943944931,
-0.038600318133831024,
-0.05746517702937126,
-0.014019331894814968,
0.013884056359529495,
0.0587499625980854,
0.023292018100619316,
-0.02404668740928173,
-0.09230253100395203,
-0.13223154842853546,
0.0189114548265934,
-0.012174931354820728,
0.01147343497723341,
-0.036202773451805115,
-0.018763776868581772,
0.01651998981833458,
0.04889222979545593,
0.1139785647392273,
-0.06860793381929398,
-0.011197131127119064,
-0.1525314897298813,
-0.03417900204658508,
0.09980133920907974,
-0.0005395924672484398,
-0.02981235273182392,
0.0291239395737648,
0.028672531247138977,
0.09989771991968155,
-0.03322645649313927,
0.057769566774368286,
0.07046568393707275,
-0.07832712680101395,
-0.010724140331149101,
-0.04430573806166649,
-0.03058907389640808,
-0.021042216569185257,
0.01985975168645382,
0.030713897198438644,
-0.030969861894845963,
0.0006137344753369689,
0.12076806277036667,
0.0246589295566082,
0.021174931898713112,
0.07022828608751297,
-0.000582394830416888,
0.004818863235414028,
0.001909522688947618,
-0.026443220674991608,
0.007894611917436123,
-0.07380162179470062,
-0.011344936676323414,
0.015213247388601303,
0.018352705985307693,
-0.0065222871489822865,
0.008701466955244541,
-0.03436833620071411,
-0.002411965746432543,
-0.026618514209985733,
0.04028381407260895,
-0.012467104010283947,
-0.009432912804186344,
0.0035926620475947857,
-0.05209215730428696,
0.08114819973707199,
-0.04704306647181511,
-0.030786776915192604,
-0.009762869216501713,
-0.0012230766005814075,
-0.05663016065955162,
-0.05568327382206917,
0.027763988822698593,
0.005198358092457056,
-0.09049505740404129,
0.0030445698648691177,
-0.03990210220217705,
-0.011210029013454914,
0.061181455850601196,
-0.05543294921517372,
-0.08409930020570755,
-0.058328960090875626,
0.02102949470281601,
-0.0491451695561409,
0.034522805362939835,
-0.02531193383038044,
0.009686817415058613,
-0.0035369484685361385,
-0.014710321091115475,
-0.07109780609607697,
-0.06353770196437836,
0.01629693992435932,
-0.043934840708971024,
-0.006805141922086477,
0.0469525121152401,
0.11395898461341858,
-0.15072213113307953,
0.017427727580070496,
-0.024793706834316254,
0.015594987198710442,
-0.01698993518948555,
0.021922649815678596,
-0.004558351822197437,
-0.04428844526410103,
-0.014985688030719757,
0.08131377398967743,
0.07418409734964371,
0.04634103924036026,
0.028589578345417976,
0.027979467064142227,
0.08462677150964737,
0.05373978614807129,
0.008403372019529343,
0.03348105028271675,
0.021600287407636642,
2.9760679245989038e-33,
0.009590476751327515,
0.09028597176074982,
0.011315579526126385,
0.02665020525455475,
0.03251395374536514,
-0.03590961545705795,
0.06527367979288101,
0.08325432240962982,
0.06844574958086014,
-0.0016694871010258794,
-0.006658752914518118,
0.13177882134914398,
-0.027911296114325523,
0.006047062110155821,
0.028652271255850792,
0.014371378347277641,
-0.011416303925216198,
0.011659329757094383,
-0.008232398889958858,
0.01541110035032034,
0.01261916384100914,
-0.015665289014577866,
0.006651707459241152,
-0.052808262407779694,
-0.027311595156788826,
-0.05043334141373634,
-0.013489463366568089,
0.01767304539680481,
-0.0615866556763649,
0.0038885988760739565,
0.08068108558654785,
0.035187963396310806,
0.0368131548166275,
-0.023712562397122383,
0.10068859159946442,
0.015260077081620693,
0.0750863254070282,
0.044568128883838654,
-0.04190167784690857,
-0.05468911677598953,
-0.01898655667901039,
0.0022465481888502836,
0.09303346276283264,
0.08229256421327591,
-0.005947527941316366,
-0.010051517747342587,
-0.04713913053274155,
0.01813603937625885,
0.11624129116535187,
-0.009250286966562271,
-0.014837571419775486,
-0.11497513204813004,
0.01417476125061512,
0.0678301751613617,
0.026178879663348198,
0.026929600164294243,
-0.018359240144491196,
0.018645038828253746,
-0.04422155022621155,
-0.0603114515542984,
0.05199373513460159,
-0.024434015154838562,
0.018031107261776924,
0.0218910351395607,
0.02812521904706955,
-0.04535004869103432,
-0.02741253562271595,
-0.0029534948989748955,
-0.0800371989607811,
0.010880148969590664,
0.09627941995859146,
0.07421649247407913,
-0.05375843867659569,
-0.07286378741264343,
0.022682473063468933,
-0.04691838100552559,
-0.027968034148216248,
0.01893356442451477,
-0.012852240353822708,
-0.010919635184109211,
-0.045932162553071976,
0.06840350478887558,
-0.03857385739684105,
-0.00570312375202775,
-0.020359143614768982,
0.06310724467039108,
0.03362369164824486,
0.0002603054163046181,
-0.03001813404262066,
-0.09237527847290039,
-0.018210824579000473,
0.03985169529914856,
0.0135487150400877,
-0.06743212789297104,
0.012062329798936844,
-4.968662174002187e-33,
0.0189371220767498,
0.009233140386641026,
0.1016688197851181,
-0.04173056781291962,
0.0611049085855484,
0.0341930091381073,
0.06686616688966751,
0.08707151561975479,
0.11435085535049438,
-0.04796020686626434,
0.03143276646733284,
-0.01890251785516739,
-0.09647808223962784,
-0.004487733822315931,
0.0036982777528464794,
0.0034213801845908165,
-0.034950289875268936,
-0.04225518926978111,
0.06130063906311989,
-0.05021471157670021,
-0.02555963024497032,
-0.08780825883150101,
0.07408321648836136,
0.037200283259153366,
-0.08101008832454681,
-0.039674825966358185,
0.033730171620845795,
0.042958442121744156,
-0.04855847731232643,
-0.032043635845184326,
0.015604265034198761,
0.06365486234426498,
0.047358106821775436,
0.004267896059900522,
-0.010131600312888622,
0.11484795063734055,
-0.03154623880982399,
-0.06656056642532349,
0.005984947085380554,
0.032040804624557495,
-0.03688838332891464,
0.042480334639549255,
0.013682796619832516,
-0.12811042368412018,
-0.00208845641463995,
0.034049998968839645,
0.053825169801712036,
-0.02738736942410469,
-0.01037423126399517,
-0.03844448924064636,
0.028504753485322,
-0.024589778855443,
-0.07381930947303772,
0.0039044171571731567,
-0.029731540009379387,
0.04997571185231209,
-0.06575439870357513,
0.014079403132200241,
0.05630183964967728,
0.0033713318407535553,
0.023509345948696136,
-0.08259687572717667,
0.06687354296445847,
0.021941404789686203,
-0.01454305462539196,
-0.0035585411824285984,
0.03024967387318611,
-0.09695352613925934,
0.03478359803557396,
0.056949615478515625,
-0.006440584547817707,
-0.04913590848445892,
0.03864693641662598,
0.024293188005685806,
-0.015073689632117748,
-0.12298115342855453,
-0.018602799624204636,
-0.0017548667965456843,
-0.060916077345609665,
-0.006965717766433954,
0.1058373972773552,
0.02422965131700039,
-0.03484069183468819,
-0.004130805376917124,
-0.047928646206855774,
0.013562832027673721,
0.024071000516414642,
-0.04124165698885918,
-0.03600526601076126,
0.03856530040502548,
0.04540134221315384,
-0.005279134958982468,
0.021415749564766884,
-0.0003849433269351721,
0.06623809039592743,
-5.926191803951042e-8,
0.06761091947555542,
-0.038284946233034134,
-0.06395561993122101,
-0.0621849000453949,
0.04319313168525696,
-0.05732925981283188,
-0.09230125695466995,
-0.11532645672559738,
0.039585743099451065,
-0.13497938215732574,
0.062370095402002335,
-0.06552176177501678,
-0.05918092280626297,
-0.04958301782608032,
0.006350095383822918,
-0.0020811862777918577,
-0.025551682338118553,
-0.0858856812119484,
-0.004286366049200296,
0.05550583079457283,
-0.02472582645714283,
0.0268595851957798,
0.0006394985248334706,
-0.06288550049066544,
0.013750609010457993,
0.020533811300992966,
-0.09725984930992126,
-0.03519975394010544,
0.086634561419487,
0.09644832462072372,
0.0037965846713632345,
-0.048757266253232956,
0.02038973942399025,
0.07308675348758698,
-0.08195566385984421,
0.000013835684512741864,
-0.015112058259546757,
-0.05444712191820145,
-0.04091136157512665,
0.03337794169783592,
0.018939506262540817,
0.02805354818701744,
0.0511617474257946,
0.0009367832681164145,
0.14335283637046814,
0.017202071845531464,
0.07502753287553787,
0.11599228531122208,
0.029668740928173065,
-0.0045609078370034695,
-0.007830880582332611,
0.022179925814270973,
-0.04807212948799133,
-0.05785107612609863,
0.009348375722765923,
-0.08480191230773926,
-0.09543538093566895,
0.01505911722779274,
0.0808393582701683,
-0.037554383277893066,
-0.03851107880473137,
0.039010513573884964,
0.0010932646691799164,
0.0305109191685915
] |
1401.0643 | Benjamin Favier | B. Favier, A.J. Barker, C. Baruteau and G.I. Ogilvie | Nonlinear evolution of tidally forced inertial waves in rotating fluid
bodies | 17 pages, 17 figures, accepted for publication in MNRAS | null | 10.1093/mnras/stu003 | null | astro-ph.EP physics.flu-dyn physics.geo-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform one of the first studies into the nonlinear evolution of tidally
excited inertial waves in a uniformly rotating fluid body, exploring a
simplified model of the fluid envelope of a planet (or the convective envelope
of a solar-type star) subject to the gravitational tidal perturbations of an
orbiting companion. Our model contains a perfectly rigid spherical core, which
is surrounded by an envelope of incompressible uniform density fluid. The
corresponding linear problem was studied in previous papers which this work
extends into the nonlinear regime, at moderate Ekman numbers (the ratio of
viscous to Coriolis accelerations). By performing high-resolution numerical
simulations, using a combination of pseudo-spectral and spectral element
methods, we investigate the effects of nonlinearities, which lead to
time-dependence of the flow and the corresponding dissipation rate. Angular
momentum is deposited non-uniformly, leading to the generation of significant
differential rotation in the initially uniformly rotating fluid, i.e. the body
does not evolve towards synchronism as a simple solid body rotator. This
differential rotation modifies the properties of tidally excited inertial
waves, changes the dissipative properties of the flow, and eventually becomes
unstable to a secondary shear instability provided that the Ekman number is
sufficiently small. Our main result is that the inclusion of nonlinearities
eventually modifies the flow and the resulting dissipation from what linear
calculations would predict, which has important implications for tidal
dissipation in fluid bodies. We finally discuss some limitations of our
simplified model, and propose avenues for future research to better understand
the tidal evolution of rotating planets and stars.
| [
{
"created": "Fri, 3 Jan 2014 13:16:00 GMT",
"version": "v1"
}
] | 2014-03-05 | [
[
"Favier",
"B.",
""
],
[
"Barker",
"A. J.",
""
],
[
"Baruteau",
"C.",
""
],
[
"Ogilvie",
"G. I.",
""
]
] | [
-0.03171125054359436,
0.00352160120382905,
0.0795656368136406,
-0.03353950008749962,
-0.01552584394812584,
-0.07012807577848434,
-0.07677177339792252,
-0.08327987790107727,
0.023795917630195618,
0.021304147318005562,
-0.015888534486293793,
-0.046099696308374405,
0.022670919075608253,
-0.09802107512950897,
0.028442183509469032,
-0.019648659974336624,
-0.021601146087050438,
0.05541492626070976,
-0.01248196605592966,
0.06870583444833755,
-0.044067420065402985,
0.08189405500888824,
-0.09437719732522964,
0.07672710716724396,
0.05957016721367836,
-0.01753854751586914,
0.015083183534443378,
-0.04434064030647278,
-0.032328248023986816,
0.023056523874402046,
0.051939453929662704,
0.0031505515798926353,
-0.07961957156658173,
0.03826548159122467,
-0.09954195469617844,
0.05552370101213455,
-0.02133677527308464,
-0.031196150928735733,
-0.12912607192993164,
-0.0402679480612278,
0.09138023853302002,
-0.03023955412209034,
0.03776726499199867,
0.006523930933326483,
0.0662214607000351,
-0.020694207400083542,
-0.02721189334988594,
-0.050678055733442307,
-0.017553159967064857,
0.07983475178480148,
-0.06822554767131805,
-0.046051014214754105,
-0.006731358822435141,
-0.009346632286906242,
-0.043815288692712784,
0.0033089800272136927,
0.053355809301137924,
-0.012374842539429665,
0.07179122418165207,
-0.09613576531410217,
0.06594674289226532,
-0.02359168417751789,
0.021989857777953148,
0.01792168989777565,
-0.07751848548650742,
-0.03771862015128136,
-0.006159813608974218,
0.028416894376277924,
-0.045372702181339264,
0.07192763686180115,
-0.029649123549461365,
0.043024029582738876,
-0.03511954843997955,
-0.03990594670176506,
-0.0027455114759504795,
-0.030717717483639717,
-0.002037860220298171,
0.024352915585041046,
-0.0028523916844278574,
-0.04155460000038147,
0.036808080971241,
0.009730934165418148,
-0.034884270280599594,
0.0075365109369158745,
-0.0892932340502739,
0.005517720710486174,
0.0305812805891037,
0.009429063647985458,
-0.027010802179574966,
0.015065182000398636,
-0.0031205504201352596,
0.06666963547468185,
-0.016254199668765068,
-0.10771558433771133,
0.07522445172071457,
0.030779438093304634,
-0.019148528575897217,
-0.018209172412753105,
0.055427130311727524,
0.057329513132572174,
-0.037070468068122864,
-0.02851136028766632,
-0.02903544157743454,
0.12078607827425003,
-0.037002239376306534,
0.009702172130346298,
0.028914323076605797,
-0.021446019411087036,
-0.01811879314482212,
0.035280872136354446,
0.01730559766292572,
0.049207139760255814,
0.0026037271600216627,
0.024361027404665947,
0.013539341278374195,
-0.01946878246963024,
0.02804485708475113,
0.030857181176543236,
-0.016006113961338997,
0.055937837809324265,
-0.0029730978421866894,
-0.012205875478684902,
0.017919331789016724,
0.01653161458671093,
0.0021325433626770973,
0.022134600207209587,
-0.07224227488040924,
-2.2239443372173865e-35,
0.06990811973810196,
0.07290326803922653,
0.02040225826203823,
0.0737849622964859,
-0.020701514557003975,
-0.027410095557570457,
0.0398310087621212,
0.03700355440378189,
0.004308659583330154,
0.0012513714609667659,
-0.055264465510845184,
0.05980689078569412,
-0.017919819802045822,
0.04543076455593109,
-0.07075880467891693,
-0.011221411637961864,
0.04000219330191612,
0.007655309047549963,
0.05656448006629944,
0.008315461687743664,
-0.05236297473311424,
-0.014425383880734444,
-0.051893673837184906,
-0.13358080387115479,
-0.11173469573259354,
0.04319027438759804,
0.01645212061703205,
-0.0072671351954340935,
0.005624684970825911,
0.02493329904973507,
-0.009407718665897846,
-0.027115723118185997,
-0.014993065036833286,
0.022802967578172684,
0.03535310551524162,
-0.003429237985983491,
0.0201727282255888,
0.00887422077357769,
-0.08471813797950745,
0.01366959884762764,
-0.02991637960076332,
0.010520768351852894,
-0.01498525682836771,
0.02838314138352871,
0.004836704581975937,
0.0031217793002724648,
0.0930960550904274,
-0.01383999828249216,
0.10237479954957962,
0.03318069502711296,
0.05639683082699776,
0.06883031874895096,
-0.07757075130939484,
0.011783089488744736,
-0.032516561448574066,
-0.0021612246055155993,
-0.00006847020995337516,
-0.012760511599481106,
-0.09249190241098404,
0.05651150643825531,
0.04033279046416283,
-0.00874501932412386,
0.06269142031669617,
-0.08377543091773987,
0.0010579056106507778,
0.0552375502884388,
-0.016882924363017082,
0.017947126179933548,
-0.009987132623791695,
-0.09163544327020645,
-0.0018144443165510893,
0.02759690210223198,
0.011904457584023476,
0.008367838338017464,
0.03566175326704979,
0.06779883056879044,
0.11236625909805298,
0.029326196759939194,
-0.08720111101865768,
-0.013427365571260452,
0.00042265153024345636,
0.04523097351193428,
0.04143368452787399,
-0.014376635663211346,
-0.04014043137431145,
0.0042291926220059395,
-0.014603814110159874,
0.03741200268268585,
0.015989016741514206,
-0.026248550042510033,
-0.03552192822098732,
-0.028254760429263115,
0.06769151240587234,
-0.04513934254646301,
-0.04298967868089676,
-3.413669390250509e-33,
-0.04930885508656502,
-0.01675312966108322,
-0.035093970596790314,
0.08038803935050964,
0.12855970859527588,
0.05827292427420616,
0.030561648309230804,
0.07845659554004669,
-0.05610949918627739,
-0.15406684577465057,
0.06646882742643356,
-0.04083364084362984,
-0.01869114674627781,
0.006835068576037884,
0.09679317474365234,
-0.051696062088012695,
-0.039726968854665756,
0.029141336679458618,
-0.007947397418320179,
0.012425047345459461,
0.053903065621852875,
-0.0022212518379092216,
0.07088517397642136,
0.04398848116397858,
0.00939816515892744,
0.007293021306395531,
0.011763653717935085,
0.029569512233138084,
-0.0010100771905854344,
0.07409299910068512,
-0.001937722903676331,
0.03746386617422104,
-0.020035961642861366,
0.02923291176557541,
-0.07441000640392303,
0.134604811668396,
-0.061467114835977554,
0.05399582162499428,
-0.056236036121845245,
0.06290606409311295,
-0.09429840743541718,
-0.0022531049326062202,
0.08784636855125427,
-0.007202660199254751,
0.012444505468010902,
-0.053244512528181076,
0.06189361587166786,
0.030918793752789497,
0.02727184072136879,
0.06167682632803917,
-0.02326621115207672,
-0.017998933792114258,
-0.003870031563565135,
0.05039549246430397,
0.02153443917632103,
0.09100886434316635,
0.002075906377285719,
0.018180513754487038,
0.07408410310745239,
-0.04895995184779167,
-0.07817216962575912,
0.021321909502148628,
0.04134669154882431,
-0.05466393381357193,
-0.06541738659143448,
-0.05186359956860542,
-0.03509144112467766,
-0.023631330579519272,
-0.09430217742919922,
0.1173795536160469,
-0.07145953923463821,
-0.05181577429175377,
-0.025348661467432976,
0.06619027256965637,
0.059450436383485794,
0.045515451580286026,
0.08345218002796173,
-0.09834221750497818,
-0.053994614630937576,
0.012830700725317001,
-0.018541492521762848,
0.07028783112764359,
0.05663589760661125,
-0.05713726207613945,
-0.022191990166902542,
-0.031842757016420364,
-0.023435117676854134,
-0.10700026154518127,
-0.029247429221868515,
0.008360510692000389,
-0.008923769928514957,
-0.021509425714612007,
-0.051003944128751755,
-0.036229196935892105,
0.010781020857393742,
-5.3147083178828325e-8,
0.04119645059108734,
-0.0581059455871582,
0.002765616634860635,
0.0491131916642189,
-0.04029282182455063,
0.0361863374710083,
-0.0006122633349150419,
-0.07819061726331711,
-0.01023682951927185,
-0.12076716125011444,
0.029222261160612106,
-0.04208621382713318,
0.02056090347468853,
-0.13654296100139618,
-0.08214518427848816,
0.05065818130970001,
-0.000856248545460403,
-0.037414468824863434,
-0.021700095385313034,
0.03502563759684563,
0.005263225175440311,
0.07923930883407593,
-0.050897300243377686,
-0.09641066193580627,
0.06350548565387726,
-0.016141898930072784,
-0.03425481542944908,
0.023278236389160156,
-0.00431752298027277,
0.024265659973025322,
-0.03218287229537964,
0.022793954238295555,
-0.06650782376527786,
-0.06282069534063339,
-0.11938240379095078,
-0.021618766710162163,
0.030693568289279938,
0.006886657793074846,
-0.033982373774051666,
0.0372115857899189,
0.025655336678028107,
0.1348550170660019,
-0.06358157098293304,
-0.05571715161204338,
0.0368732251226902,
0.14209602773189545,
-0.02205372229218483,
-0.04982630908489227,
-0.027745846658945084,
0.07407452166080475,
-0.0669303759932518,
-0.015169643796980381,
-0.016705267131328583,
0.013730116188526154,
0.03781573474407196,
-0.05547299236059189,
-0.092091403901577,
-0.03313351050019264,
0.01634232886135578,
-0.0017282109474763274,
-0.01131290290504694,
0.02703152410686016,
0.06848104298114777,
-0.031034091487526894
] | null | null | null | null | null | null | null | [
-0.03171125054359436,
0.00352160120382905,
0.0795656368136406,
-0.03353950008749962,
-0.01552584394812584,
-0.07012807577848434,
-0.07677177339792252,
-0.08327987790107727,
0.023795917630195618,
0.021304147318005562,
-0.015888534486293793,
-0.046099696308374405,
0.022670919075608253,
-0.09802107512950897,
0.028442183509469032,
-0.019648659974336624,
-0.021601146087050438,
0.05541492626070976,
-0.01248196605592966,
0.06870583444833755,
-0.044067420065402985,
0.08189405500888824,
-0.09437719732522964,
0.07672710716724396,
0.05957016721367836,
-0.01753854751586914,
0.015083183534443378,
-0.04434064030647278,
-0.032328248023986816,
0.023056523874402046,
0.051939453929662704,
0.0031505515798926353,
-0.07961957156658173,
0.03826548159122467,
-0.09954195469617844,
0.05552370101213455,
-0.02133677527308464,
-0.031196150928735733,
-0.12912607192993164,
-0.0402679480612278,
0.09138023853302002,
-0.03023955412209034,
0.03776726499199867,
0.006523930933326483,
0.0662214607000351,
-0.020694207400083542,
-0.02721189334988594,
-0.050678055733442307,
-0.017553159967064857,
0.07983475178480148,
-0.06822554767131805,
-0.046051014214754105,
-0.006731358822435141,
-0.009346632286906242,
-0.043815288692712784,
0.0033089800272136927,
0.053355809301137924,
-0.012374842539429665,
0.07179122418165207,
-0.09613576531410217,
0.06594674289226532,
-0.02359168417751789,
0.021989857777953148,
0.01792168989777565,
-0.07751848548650742,
-0.03771862015128136,
-0.006159813608974218,
0.028416894376277924,
-0.045372702181339264,
0.07192763686180115,
-0.029649123549461365,
0.043024029582738876,
-0.03511954843997955,
-0.03990594670176506,
-0.0027455114759504795,
-0.030717717483639717,
-0.002037860220298171,
0.024352915585041046,
-0.0028523916844278574,
-0.04155460000038147,
0.036808080971241,
0.009730934165418148,
-0.034884270280599594,
0.0075365109369158745,
-0.0892932340502739,
0.005517720710486174,
0.0305812805891037,
0.009429063647985458,
-0.027010802179574966,
0.015065182000398636,
-0.0031205504201352596,
0.06666963547468185,
-0.016254199668765068,
-0.10771558433771133,
0.07522445172071457,
0.030779438093304634,
-0.019148528575897217,
-0.018209172412753105,
0.055427130311727524,
0.057329513132572174,
-0.037070468068122864,
-0.02851136028766632,
-0.02903544157743454,
0.12078607827425003,
-0.037002239376306534,
0.009702172130346298,
0.028914323076605797,
-0.021446019411087036,
-0.01811879314482212,
0.035280872136354446,
0.01730559766292572,
0.049207139760255814,
0.0026037271600216627,
0.024361027404665947,
0.013539341278374195,
-0.01946878246963024,
0.02804485708475113,
0.030857181176543236,
-0.016006113961338997,
0.055937837809324265,
-0.0029730978421866894,
-0.012205875478684902,
0.017919331789016724,
0.01653161458671093,
0.0021325433626770973,
0.022134600207209587,
-0.07224227488040924,
-2.2239443372173865e-35,
0.06990811973810196,
0.07290326803922653,
0.02040225826203823,
0.0737849622964859,
-0.020701514557003975,
-0.027410095557570457,
0.0398310087621212,
0.03700355440378189,
0.004308659583330154,
0.0012513714609667659,
-0.055264465510845184,
0.05980689078569412,
-0.017919819802045822,
0.04543076455593109,
-0.07075880467891693,
-0.011221411637961864,
0.04000219330191612,
0.007655309047549963,
0.05656448006629944,
0.008315461687743664,
-0.05236297473311424,
-0.014425383880734444,
-0.051893673837184906,
-0.13358080387115479,
-0.11173469573259354,
0.04319027438759804,
0.01645212061703205,
-0.0072671351954340935,
0.005624684970825911,
0.02493329904973507,
-0.009407718665897846,
-0.027115723118185997,
-0.014993065036833286,
0.022802967578172684,
0.03535310551524162,
-0.003429237985983491,
0.0201727282255888,
0.00887422077357769,
-0.08471813797950745,
0.01366959884762764,
-0.02991637960076332,
0.010520768351852894,
-0.01498525682836771,
0.02838314138352871,
0.004836704581975937,
0.0031217793002724648,
0.0930960550904274,
-0.01383999828249216,
0.10237479954957962,
0.03318069502711296,
0.05639683082699776,
0.06883031874895096,
-0.07757075130939484,
0.011783089488744736,
-0.032516561448574066,
-0.0021612246055155993,
-0.00006847020995337516,
-0.012760511599481106,
-0.09249190241098404,
0.05651150643825531,
0.04033279046416283,
-0.00874501932412386,
0.06269142031669617,
-0.08377543091773987,
0.0010579056106507778,
0.0552375502884388,
-0.016882924363017082,
0.017947126179933548,
-0.009987132623791695,
-0.09163544327020645,
-0.0018144443165510893,
0.02759690210223198,
0.011904457584023476,
0.008367838338017464,
0.03566175326704979,
0.06779883056879044,
0.11236625909805298,
0.029326196759939194,
-0.08720111101865768,
-0.013427365571260452,
0.00042265153024345636,
0.04523097351193428,
0.04143368452787399,
-0.014376635663211346,
-0.04014043137431145,
0.0042291926220059395,
-0.014603814110159874,
0.03741200268268585,
0.015989016741514206,
-0.026248550042510033,
-0.03552192822098732,
-0.028254760429263115,
0.06769151240587234,
-0.04513934254646301,
-0.04298967868089676,
-3.413669390250509e-33,
-0.04930885508656502,
-0.01675312966108322,
-0.035093970596790314,
0.08038803935050964,
0.12855970859527588,
0.05827292427420616,
0.030561648309230804,
0.07845659554004669,
-0.05610949918627739,
-0.15406684577465057,
0.06646882742643356,
-0.04083364084362984,
-0.01869114674627781,
0.006835068576037884,
0.09679317474365234,
-0.051696062088012695,
-0.039726968854665756,
0.029141336679458618,
-0.007947397418320179,
0.012425047345459461,
0.053903065621852875,
-0.0022212518379092216,
0.07088517397642136,
0.04398848116397858,
0.00939816515892744,
0.007293021306395531,
0.011763653717935085,
0.029569512233138084,
-0.0010100771905854344,
0.07409299910068512,
-0.001937722903676331,
0.03746386617422104,
-0.020035961642861366,
0.02923291176557541,
-0.07441000640392303,
0.134604811668396,
-0.061467114835977554,
0.05399582162499428,
-0.056236036121845245,
0.06290606409311295,
-0.09429840743541718,
-0.0022531049326062202,
0.08784636855125427,
-0.007202660199254751,
0.012444505468010902,
-0.053244512528181076,
0.06189361587166786,
0.030918793752789497,
0.02727184072136879,
0.06167682632803917,
-0.02326621115207672,
-0.017998933792114258,
-0.003870031563565135,
0.05039549246430397,
0.02153443917632103,
0.09100886434316635,
0.002075906377285719,
0.018180513754487038,
0.07408410310745239,
-0.04895995184779167,
-0.07817216962575912,
0.021321909502148628,
0.04134669154882431,
-0.05466393381357193,
-0.06541738659143448,
-0.05186359956860542,
-0.03509144112467766,
-0.023631330579519272,
-0.09430217742919922,
0.1173795536160469,
-0.07145953923463821,
-0.05181577429175377,
-0.025348661467432976,
0.06619027256965637,
0.059450436383485794,
0.045515451580286026,
0.08345218002796173,
-0.09834221750497818,
-0.053994614630937576,
0.012830700725317001,
-0.018541492521762848,
0.07028783112764359,
0.05663589760661125,
-0.05713726207613945,
-0.022191990166902542,
-0.031842757016420364,
-0.023435117676854134,
-0.10700026154518127,
-0.029247429221868515,
0.008360510692000389,
-0.008923769928514957,
-0.021509425714612007,
-0.051003944128751755,
-0.036229196935892105,
0.010781020857393742,
-5.3147083178828325e-8,
0.04119645059108734,
-0.0581059455871582,
0.002765616634860635,
0.0491131916642189,
-0.04029282182455063,
0.0361863374710083,
-0.0006122633349150419,
-0.07819061726331711,
-0.01023682951927185,
-0.12076716125011444,
0.029222261160612106,
-0.04208621382713318,
0.02056090347468853,
-0.13654296100139618,
-0.08214518427848816,
0.05065818130970001,
-0.000856248545460403,
-0.037414468824863434,
-0.021700095385313034,
0.03502563759684563,
0.005263225175440311,
0.07923930883407593,
-0.050897300243377686,
-0.09641066193580627,
0.06350548565387726,
-0.016141898930072784,
-0.03425481542944908,
0.023278236389160156,
-0.00431752298027277,
0.024265659973025322,
-0.03218287229537964,
0.022793954238295555,
-0.06650782376527786,
-0.06282069534063339,
-0.11938240379095078,
-0.021618766710162163,
0.030693568289279938,
0.006886657793074846,
-0.033982373774051666,
0.0372115857899189,
0.025655336678028107,
0.1348550170660019,
-0.06358157098293304,
-0.05571715161204338,
0.0368732251226902,
0.14209602773189545,
-0.02205372229218483,
-0.04982630908489227,
-0.027745846658945084,
0.07407452166080475,
-0.0669303759932518,
-0.015169643796980381,
-0.016705267131328583,
0.013730116188526154,
0.03781573474407196,
-0.05547299236059189,
-0.092091403901577,
-0.03313351050019264,
0.01634232886135578,
-0.0017282109474763274,
-0.01131290290504694,
0.02703152410686016,
0.06848104298114777,
-0.031034091487526894
] |
1401.0645 | Matthew England Dr | Russell Bradford, James H. Davenport, Matthew England, Scott McCallum
and David Wilson | Truth Table Invariant Cylindrical Algebraic Decomposition | 40 pages | Journal of Symbolic Computation 76, pp. 1-35, 2016 | 10.1016/j.jsc.2015.11.002 | null | cs.SC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When using cylindrical algebraic decomposition (CAD) to solve a problem with
respect to a set of polynomials, it is likely not the signs of those
polynomials that are of paramount importance but rather the truth values of
certain quantifier free formulae involving them. This observation motivates our
article and definition of a Truth Table Invariant CAD (TTICAD).
In ISSAC 2013 the current authors presented an algorithm that can efficiently
and directly construct a TTICAD for a list of formulae in which each has an
equational constraint. This was achieved by generalising McCallum's theory of
reduced projection operators. In this paper we present an extended version of
our theory which can be applied to an arbitrary list of formulae, achieving
savings if at least one has an equational constraint. We also explain how the
theory of reduced projection operators can allow for further improvements to
the lifting phase of CAD algorithms, even in the context of a single equational
constraint.
The algorithm is implemented fully in Maple and we present both promising
results from experimentation and a complexity analysis showing the benefits of
our contributions.
| [
{
"created": "Fri, 3 Jan 2014 13:23:05 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2014 14:49:59 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Nov 2015 18:08:13 GMT",
"version": "v3"
}
] | 2016-02-23 | [
[
"Bradford",
"Russell",
""
],
[
"Davenport",
"James H.",
""
],
[
"England",
"Matthew",
""
],
[
"McCallum",
"Scott",
""
],
[
"Wilson",
"David",
""
]
] | [
-0.08163141459226608,
0.08268439024686813,
-0.014659518375992775,
-0.004157795570790768,
0.012992839328944683,
-0.009900758042931557,
-0.007227851543575525,
-0.028521176427602768,
0.010707014240324497,
0.0042632753029465675,
-0.07086533308029175,
-0.03373122215270996,
0.04575465992093086,
0.05880317836999893,
0.003084108466282487,
-0.01937968097627163,
-0.042266178876161575,
0.09424204379320145,
-0.06167149916291237,
-0.012013533152639866,
0.0370800644159317,
-0.009895945899188519,
-0.12437616288661957,
0.04317740350961685,
0.14054618775844574,
-0.029151620343327522,
0.05511244758963585,
-0.017116283997893333,
0.05165989324450493,
0.055732324719429016,
-0.03295787423849106,
0.010388887487351894,
-0.01173954363912344,
-0.05218606814742088,
0.011098346672952175,
0.034800685942173004,
0.008752170018851757,
0.012021414004266262,
-0.004139699041843414,
0.008615461178123951,
-0.03123224340379238,
0.0064510926604270935,
0.005402588751167059,
0.011197520419955254,
-0.03325538709759712,
0.07936213910579681,
0.010741405189037323,
0.05070808529853821,
-0.05717547982931137,
-0.06846421957015991,
-0.04181898385286331,
0.06891006976366043,
-0.09909980744123459,
0.006161318626254797,
-0.012503470294177532,
-0.057463884353637695,
0.023224033415317535,
-0.04110904410481453,
0.01637493073940277,
-0.0009840321727097034,
-0.06084570661187172,
-0.01145421527326107,
-0.01107185147702694,
0.013617648743093014,
0.0035308056976646185,
0.009002783335745335,
-0.01390110980719328,
-0.05067816376686096,
-0.023960649967193604,
0.1004011258482933,
-0.03928153216838837,
-0.03956456482410431,
-0.07218265533447266,
0.006003493908792734,
-0.019173841923475266,
0.05153891071677208,
0.09749166667461395,
-0.07874037325382233,
-0.028325140476226807,
0.09224285185337067,
0.0448727123439312,
0.04588547348976135,
-0.057741425931453705,
-0.007842090912163258,
0.02588912472128868,
-0.0999060794711113,
-0.04089222103357315,
-0.031056614592671394,
0.11184819042682648,
0.05706210434436798,
0.04199313372373581,
0.0196969173848629,
0.034197114408016205,
0.05222805589437485,
-0.03509366139769554,
-0.03214361518621445,
0.04392900690436363,
0.054150789976119995,
0.03974395617842674,
0.08353468030691147,
-0.0058075920678675175,
0.014477388933300972,
0.06528988480567932,
-0.06825383007526398,
-0.03660663217306137,
0.044854581356048584,
0.01703091710805893,
-0.05167592689394951,
-0.05240655317902565,
-0.12390623241662979,
0.03659270331263542,
-0.08963637799024582,
0.006262950599193573,
-0.031145257875323296,
-0.0515579953789711,
0.01427897997200489,
-0.0004708832420874387,
0.024710925295948982,
0.09115802496671677,
-0.055119458585977554,
-0.03545104339718819,
-0.003356341738253832,
0.09735631197690964,
0.07445243000984192,
0.08814601600170135,
-0.046185605227947235,
-0.1092941090464592,
2.3663344130525753e-33,
-0.0492141954600811,
0.09650134295225143,
0.014306190423667431,
-0.01538762915879488,
-0.0044505661353468895,
0.02425907924771309,
0.02356814220547676,
0.02449773997068405,
0.01776665262877941,
0.10713525861501694,
0.01713361032307148,
0.0992548018693924,
-0.0813230499625206,
-0.013912574388086796,
0.07165130972862244,
0.008018734864890575,
0.07085108757019043,
0.05817144364118576,
-0.06250263750553131,
0.0015373316127806902,
0.06404736638069153,
-0.007962627336382866,
-0.03563707321882248,
0.05522570759057999,
0.04797074943780899,
0.03306925296783447,
0.0626087337732315,
-0.07557107508182526,
-0.0315990224480629,
-0.005611107684671879,
-0.04800790548324585,
-0.011688952334225178,
0.031392112374305725,
0.03635086491703987,
0.029271060600876808,
0.014344646595418453,
0.0008067081216722727,
-0.04158862307667732,
0.02060277760028839,
-0.002244810573756695,
-0.015521335415542126,
0.04017159342765808,
0.01319528091698885,
-0.007870232686400414,
-0.04846075177192688,
-0.03266578167676926,
-0.026613563299179077,
0.07860932499170303,
0.02520459145307541,
-0.011019752360880375,
0.013780361041426659,
-0.016928091645240784,
-0.0064436341635882854,
0.02478298544883728,
0.01573009602725506,
-0.04252953827381134,
-0.06106555834412575,
0.04537450149655342,
0.06457629054784775,
0.044589780271053314,
-0.0809001624584198,
-0.017248567193746567,
-0.033447425812482834,
-0.058984652161598206,
-0.08298345655202866,
0.027792789041996002,
-0.11530924588441849,
-0.06898902356624603,
0.06813189387321472,
0.038787584751844406,
-0.10341895371675491,
0.008635682985186577,
0.015212851576507092,
-0.03362998738884926,
0.13926970958709717,
-0.020924162119627,
-0.009236546233296394,
-0.07637637108564377,
-0.0038508186116814613,
-0.1043311357498169,
-0.060138408094644547,
0.14884208142757416,
0.04185198247432709,
0.01188044436275959,
0.049799926578998566,
-0.10915079712867737,
-0.03619447723031044,
0.047747619450092316,
-0.09407229721546173,
-0.08585995435714722,
-0.13527369499206543,
-0.042127106338739395,
-0.024498770013451576,
0.05708727240562439,
0.06235390156507492,
-3.573464255591368e-33,
-0.04367530345916748,
-0.0407504178583622,
0.003073163330554962,
-0.015492266044020653,
-0.021053679287433624,
-0.12448973953723907,
0.00650756387040019,
-0.03468792513012886,
0.0548505038022995,
-0.09009552001953125,
-0.04604535549879074,
-0.02638903819024563,
-0.001161405467428267,
0.06939621269702911,
-0.013358374126255512,
0.015988240018486977,
-0.0072701252065598965,
-0.038609810173511505,
-0.11785338073968887,
0.01357258204370737,
-0.040709421038627625,
0.07357734441757202,
-0.041143134236335754,
-0.024851413443684578,
0.020814772695302963,
0.03030361421406269,
0.0086857620626688,
0.027182841673493385,
0.027083884924650192,
0.05384087562561035,
-0.04914873465895653,
-0.07884245365858078,
-0.0423685759305954,
0.002808920107781887,
-0.054991818964481354,
0.02258511632680893,
0.02874515764415264,
0.0492359958589077,
-0.03694892302155495,
0.02419430762529373,
0.03371917083859444,
-0.045699577778577805,
0.006409069057554007,
0.04889785498380661,
0.020359979942440987,
-0.009584851562976837,
0.038999248296022415,
-0.022915581241250038,
0.04252491891384125,
0.033799976110458374,
0.01606595329940319,
-0.0017351999413222075,
0.009514560922980309,
0.040673889219760895,
-0.005325717851519585,
-0.015756482258439064,
-0.04097911715507507,
-0.034648969769477844,
0.02944539673626423,
-0.05497058108448982,
-0.00265423278324306,
-0.014240944758057594,
0.05923019349575043,
0.06339839845895767,
0.04691141098737717,
0.002851884812116623,
0.020136436447501183,
-0.01982908323407173,
-0.026983635500073433,
0.04525282233953476,
0.0257058534771204,
-0.0013158831279724836,
-0.05759838595986366,
0.018555311486124992,
-0.03258613869547844,
-0.016117898747324944,
0.05500917136669159,
0.02104814164340496,
0.02839483693242073,
0.02518969029188156,
0.048515744507312775,
-0.00013690600462723523,
0.03464397042989731,
-0.05589069426059723,
0.001620550756342709,
-0.022720711305737495,
0.030825605615973473,
-0.004552432801574469,
0.026050148531794548,
0.05858973413705826,
0.020255889743566513,
0.035133522003889084,
0.02382868342101574,
0.06273653358221054,
-0.0029870360158383846,
-4.842518919190297e-8,
-0.040280021727085114,
0.0030389137100428343,
-0.10444479435682297,
-0.043599288910627365,
0.076084204018116,
-0.10666737705469131,
0.020832940936088562,
-0.009897220879793167,
-0.018038924783468246,
-0.06249307468533516,
0.12138541787862778,
0.016402341425418854,
-0.04364973306655884,
0.018294114619493484,
0.009445461444556713,
0.025691792368888855,
-0.02671806886792183,
-0.03915547952055931,
-0.054327718913555145,
-0.04107561707496643,
-0.047537028789520264,
-0.005276117939502001,
-0.10158734023571014,
0.05239038169384003,
0.03502659872174263,
-0.06440531462430954,
-0.042996518313884735,
-0.00296543026342988,
0.08887401223182678,
0.11652549356222153,
0.014302928000688553,
0.00429369555786252,
0.07040278613567352,
0.05887608230113983,
0.04388241097331047,
0.02634608931839466,
-0.0398494191467762,
0.010166939347982407,
-0.05922633036971092,
-0.0275325458496809,
-0.02907056361436844,
0.04051385447382927,
-0.05687360465526581,
0.00909771490842104,
0.1279410570859909,
0.045641444623470306,
0.03236575052142143,
-0.0349653884768486,
-0.05491691455245018,
0.1000811904668808,
-0.04617563262581825,
0.03216475993394852,
-0.07238210737705231,
-0.044706255197525024,
-0.07510385662317276,
0.039408743381500244,
0.04541199281811714,
-0.007766803726553917,
0.020708417519927025,
-0.07736090570688248,
-0.044022224843502045,
-0.0036896560341119766,
0.09713087975978851,
0.0024991596583276987
] | null | null | null | null | null | null | null | [
-0.08163141459226608,
0.08268439024686813,
-0.014659518375992775,
-0.004157795570790768,
0.012992839328944683,
-0.009900758042931557,
-0.007227851543575525,
-0.028521176427602768,
0.010707014240324497,
0.0042632753029465675,
-0.07086533308029175,
-0.03373122215270996,
0.04575465992093086,
0.05880317836999893,
0.003084108466282487,
-0.01937968097627163,
-0.042266178876161575,
0.09424204379320145,
-0.06167149916291237,
-0.012013533152639866,
0.0370800644159317,
-0.009895945899188519,
-0.12437616288661957,
0.04317740350961685,
0.14054618775844574,
-0.029151620343327522,
0.05511244758963585,
-0.017116283997893333,
0.05165989324450493,
0.055732324719429016,
-0.03295787423849106,
0.010388887487351894,
-0.01173954363912344,
-0.05218606814742088,
0.011098346672952175,
0.034800685942173004,
0.008752170018851757,
0.012021414004266262,
-0.004139699041843414,
0.008615461178123951,
-0.03123224340379238,
0.0064510926604270935,
0.005402588751167059,
0.011197520419955254,
-0.03325538709759712,
0.07936213910579681,
0.010741405189037323,
0.05070808529853821,
-0.05717547982931137,
-0.06846421957015991,
-0.04181898385286331,
0.06891006976366043,
-0.09909980744123459,
0.006161318626254797,
-0.012503470294177532,
-0.057463884353637695,
0.023224033415317535,
-0.04110904410481453,
0.01637493073940277,
-0.0009840321727097034,
-0.06084570661187172,
-0.01145421527326107,
-0.01107185147702694,
0.013617648743093014,
0.0035308056976646185,
0.009002783335745335,
-0.01390110980719328,
-0.05067816376686096,
-0.023960649967193604,
0.1004011258482933,
-0.03928153216838837,
-0.03956456482410431,
-0.07218265533447266,
0.006003493908792734,
-0.019173841923475266,
0.05153891071677208,
0.09749166667461395,
-0.07874037325382233,
-0.028325140476226807,
0.09224285185337067,
0.0448727123439312,
0.04588547348976135,
-0.057741425931453705,
-0.007842090912163258,
0.02588912472128868,
-0.0999060794711113,
-0.04089222103357315,
-0.031056614592671394,
0.11184819042682648,
0.05706210434436798,
0.04199313372373581,
0.0196969173848629,
0.034197114408016205,
0.05222805589437485,
-0.03509366139769554,
-0.03214361518621445,
0.04392900690436363,
0.054150789976119995,
0.03974395617842674,
0.08353468030691147,
-0.0058075920678675175,
0.014477388933300972,
0.06528988480567932,
-0.06825383007526398,
-0.03660663217306137,
0.044854581356048584,
0.01703091710805893,
-0.05167592689394951,
-0.05240655317902565,
-0.12390623241662979,
0.03659270331263542,
-0.08963637799024582,
0.006262950599193573,
-0.031145257875323296,
-0.0515579953789711,
0.01427897997200489,
-0.0004708832420874387,
0.024710925295948982,
0.09115802496671677,
-0.055119458585977554,
-0.03545104339718819,
-0.003356341738253832,
0.09735631197690964,
0.07445243000984192,
0.08814601600170135,
-0.046185605227947235,
-0.1092941090464592,
2.3663344130525753e-33,
-0.0492141954600811,
0.09650134295225143,
0.014306190423667431,
-0.01538762915879488,
-0.0044505661353468895,
0.02425907924771309,
0.02356814220547676,
0.02449773997068405,
0.01776665262877941,
0.10713525861501694,
0.01713361032307148,
0.0992548018693924,
-0.0813230499625206,
-0.013912574388086796,
0.07165130972862244,
0.008018734864890575,
0.07085108757019043,
0.05817144364118576,
-0.06250263750553131,
0.0015373316127806902,
0.06404736638069153,
-0.007962627336382866,
-0.03563707321882248,
0.05522570759057999,
0.04797074943780899,
0.03306925296783447,
0.0626087337732315,
-0.07557107508182526,
-0.0315990224480629,
-0.005611107684671879,
-0.04800790548324585,
-0.011688952334225178,
0.031392112374305725,
0.03635086491703987,
0.029271060600876808,
0.014344646595418453,
0.0008067081216722727,
-0.04158862307667732,
0.02060277760028839,
-0.002244810573756695,
-0.015521335415542126,
0.04017159342765808,
0.01319528091698885,
-0.007870232686400414,
-0.04846075177192688,
-0.03266578167676926,
-0.026613563299179077,
0.07860932499170303,
0.02520459145307541,
-0.011019752360880375,
0.013780361041426659,
-0.016928091645240784,
-0.0064436341635882854,
0.02478298544883728,
0.01573009602725506,
-0.04252953827381134,
-0.06106555834412575,
0.04537450149655342,
0.06457629054784775,
0.044589780271053314,
-0.0809001624584198,
-0.017248567193746567,
-0.033447425812482834,
-0.058984652161598206,
-0.08298345655202866,
0.027792789041996002,
-0.11530924588441849,
-0.06898902356624603,
0.06813189387321472,
0.038787584751844406,
-0.10341895371675491,
0.008635682985186577,
0.015212851576507092,
-0.03362998738884926,
0.13926970958709717,
-0.020924162119627,
-0.009236546233296394,
-0.07637637108564377,
-0.0038508186116814613,
-0.1043311357498169,
-0.060138408094644547,
0.14884208142757416,
0.04185198247432709,
0.01188044436275959,
0.049799926578998566,
-0.10915079712867737,
-0.03619447723031044,
0.047747619450092316,
-0.09407229721546173,
-0.08585995435714722,
-0.13527369499206543,
-0.042127106338739395,
-0.024498770013451576,
0.05708727240562439,
0.06235390156507492,
-3.573464255591368e-33,
-0.04367530345916748,
-0.0407504178583622,
0.003073163330554962,
-0.015492266044020653,
-0.021053679287433624,
-0.12448973953723907,
0.00650756387040019,
-0.03468792513012886,
0.0548505038022995,
-0.09009552001953125,
-0.04604535549879074,
-0.02638903819024563,
-0.001161405467428267,
0.06939621269702911,
-0.013358374126255512,
0.015988240018486977,
-0.0072701252065598965,
-0.038609810173511505,
-0.11785338073968887,
0.01357258204370737,
-0.040709421038627625,
0.07357734441757202,
-0.041143134236335754,
-0.024851413443684578,
0.020814772695302963,
0.03030361421406269,
0.0086857620626688,
0.027182841673493385,
0.027083884924650192,
0.05384087562561035,
-0.04914873465895653,
-0.07884245365858078,
-0.0423685759305954,
0.002808920107781887,
-0.054991818964481354,
0.02258511632680893,
0.02874515764415264,
0.0492359958589077,
-0.03694892302155495,
0.02419430762529373,
0.03371917083859444,
-0.045699577778577805,
0.006409069057554007,
0.04889785498380661,
0.020359979942440987,
-0.009584851562976837,
0.038999248296022415,
-0.022915581241250038,
0.04252491891384125,
0.033799976110458374,
0.01606595329940319,
-0.0017351999413222075,
0.009514560922980309,
0.040673889219760895,
-0.005325717851519585,
-0.015756482258439064,
-0.04097911715507507,
-0.034648969769477844,
0.02944539673626423,
-0.05497058108448982,
-0.00265423278324306,
-0.014240944758057594,
0.05923019349575043,
0.06339839845895767,
0.04691141098737717,
0.002851884812116623,
0.020136436447501183,
-0.01982908323407173,
-0.026983635500073433,
0.04525282233953476,
0.0257058534771204,
-0.0013158831279724836,
-0.05759838595986366,
0.018555311486124992,
-0.03258613869547844,
-0.016117898747324944,
0.05500917136669159,
0.02104814164340496,
0.02839483693242073,
0.02518969029188156,
0.048515744507312775,
-0.00013690600462723523,
0.03464397042989731,
-0.05589069426059723,
0.001620550756342709,
-0.022720711305737495,
0.030825605615973473,
-0.004552432801574469,
0.026050148531794548,
0.05858973413705826,
0.020255889743566513,
0.035133522003889084,
0.02382868342101574,
0.06273653358221054,
-0.0029870360158383846,
-4.842518919190297e-8,
-0.040280021727085114,
0.0030389137100428343,
-0.10444479435682297,
-0.043599288910627365,
0.076084204018116,
-0.10666737705469131,
0.020832940936088562,
-0.009897220879793167,
-0.018038924783468246,
-0.06249307468533516,
0.12138541787862778,
0.016402341425418854,
-0.04364973306655884,
0.018294114619493484,
0.009445461444556713,
0.025691792368888855,
-0.02671806886792183,
-0.03915547952055931,
-0.054327718913555145,
-0.04107561707496643,
-0.047537028789520264,
-0.005276117939502001,
-0.10158734023571014,
0.05239038169384003,
0.03502659872174263,
-0.06440531462430954,
-0.042996518313884735,
-0.00296543026342988,
0.08887401223182678,
0.11652549356222153,
0.014302928000688553,
0.00429369555786252,
0.07040278613567352,
0.05887608230113983,
0.04388241097331047,
0.02634608931839466,
-0.0398494191467762,
0.010166939347982407,
-0.05922633036971092,
-0.0275325458496809,
-0.02907056361436844,
0.04051385447382927,
-0.05687360465526581,
0.00909771490842104,
0.1279410570859909,
0.045641444623470306,
0.03236575052142143,
-0.0349653884768486,
-0.05491691455245018,
0.1000811904668808,
-0.04617563262581825,
0.03216475993394852,
-0.07238210737705231,
-0.044706255197525024,
-0.07510385662317276,
0.039408743381500244,
0.04541199281811714,
-0.007766803726553917,
0.020708417519927025,
-0.07736090570688248,
-0.044022224843502045,
-0.0036896560341119766,
0.09713087975978851,
0.0024991596583276987
] |
1401.0647 | Matthew England Dr | D.J. Wilson, R.J. Bradford, J.H. Davenport and M. England | Cylindrical Algebraic Sub-Decompositions | 26 pages | Mathematics in Computer Science: Volume 8, Issue 2, pages 263-288,
Springer, 2014 | 10.1007/s11786-014-0191-z | null | cs.SC math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cylindrical algebraic decompositions (CADs) are a key tool in real algebraic
geometry, used primarily for eliminating quantifiers over the reals and
studying semi-algebraic sets. In this paper we introduce cylindrical algebraic
sub-decompositions (sub-CADs), which are subsets of CADs containing all the
information needed to specify a solution for a given problem.
We define two new types of sub-CAD: variety sub-CADs which are those cells in
a CAD lying on a designated variety; and layered sub-CADs which have only those
cells of dimension higher than a specified value. We present algorithms to
produce these and describe how the two approaches may be combined with each
other and the recent theory of truth-table invariant CAD.
We give a complexity analysis showing that these techniques can offer
substantial theoretical savings, which is supported by experimentation using an
implementation in Maple.
| [
{
"created": "Fri, 3 Jan 2014 13:49:31 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2014 11:27:56 GMT",
"version": "v2"
}
] | 2014-06-27 | [
[
"Wilson",
"D. J.",
""
],
[
"Bradford",
"R. J.",
""
],
[
"Davenport",
"J. H.",
""
],
[
"England",
"M.",
""
]
] | [
-0.07163599133491516,
0.11094147711992264,
-0.012505291029810905,
-0.0022972363512963057,
0.019690509885549545,
-0.09800628572702408,
-0.013254841789603233,
-0.053180206567049026,
-0.026006212458014488,
-0.011379605159163475,
-0.07979747653007507,
-0.05260956287384033,
0.009197961539030075,
0.06972839683294296,
-0.02167559042572975,
-0.032248131930828094,
-0.0043292781338095665,
0.08165070414543152,
-0.04982736334204674,
0.04699553921818733,
-0.004777746275067329,
-0.017237074673175812,
-0.09328512102365494,
0.07260071486234665,
0.16951070725917816,
-0.04697693511843681,
0.03534505143761635,
0.014643662609159946,
0.0023788954131305218,
0.022904684767127037,
-0.011319993063807487,
0.07683452218770981,
-0.02348611317574978,
-0.02739020809531212,
-0.012779205106198788,
0.05915209278464317,
-0.02383551560342312,
0.053421687334775925,
0.00806826539337635,
-0.004437679890543222,
-0.0530506931245327,
0.010485010221600533,
-0.005836439318954945,
0.04076105356216431,
-0.025902388617396355,
0.09174329042434692,
-0.04974968731403351,
0.024055367335677147,
-0.0411415733397007,
-0.05424276739358902,
-0.01726469397544861,
0.016646206378936768,
-0.09388508647680283,
0.04292549937963486,
-0.011324279010295868,
-0.022798556834459305,
-0.022389233112335205,
-0.013601956889033318,
0.005244812928140163,
-0.013147469609975815,
-0.019853366538882256,
0.016962667927145958,
0.020403407514095306,
-0.031085001304745674,
-0.0400317944586277,
0.021440697833895683,
-0.021761838346719742,
0.01735374890267849,
0.011061274446547031,
0.0472053699195385,
0.03826882317662239,
0.006738876923918724,
-0.13253416121006012,
0.05455679073929787,
-0.008746882900595665,
-0.0168575718998909,
0.022467857226729393,
-0.07775674760341644,
-0.07032346725463867,
0.027063630521297455,
0.03081994131207466,
0.11745841056108475,
-0.06777429580688477,
0.023937111720442772,
0.010012136772274971,
-0.04907853901386261,
0.030219094827771187,
0.010329684242606163,
0.05413885787129402,
0.022111831232905388,
0.006184176541864872,
0.027350813150405884,
0.052892040461301804,
0.03995924070477486,
-0.03880688175559044,
-0.024619869887828827,
0.03120584599673748,
0.06724534183740616,
0.10571140795946121,
0.07369162887334824,
0.00844110082834959,
-0.008224597200751305,
0.06464463472366333,
-0.035988785326480865,
-0.0045280358754098415,
0.04955291002988815,
0.046286147087812424,
-0.004626438021659851,
-0.07135166227817535,
-0.12518569827079773,
0.055943965911865234,
-0.0880792886018753,
-0.034047894179821014,
-0.10161034017801285,
-0.00886048749089241,
0.0440850704908371,
0.010016665793955326,
0.05958827584981918,
0.04463064298033714,
-0.020621491596102715,
0.00798899494111538,
0.02674333192408085,
0.07545886933803558,
0.051891639828681946,
0.08989447355270386,
-0.0004327715141698718,
-0.06042856350541115,
2.048461638807028e-33,
-0.05467577651143074,
0.08210574090480804,
-0.0041803582571446896,
0.02880149893462658,
0.01371921505779028,
-0.01663646101951599,
0.04747588187456131,
0.023200176656246185,
0.08373875916004181,
0.14268448948860168,
-0.0042021009139716625,
0.049820367246866226,
-0.02865494042634964,
0.006710617803037167,
0.11714498698711395,
0.012405689805746078,
0.016312243416905403,
0.024366775527596474,
-0.1226891577243805,
-0.04181528463959694,
0.06825406849384308,
-0.021518973633646965,
-0.008317599073052406,
-0.0017777214525267482,
0.028680024668574333,
0.041350916028022766,
0.07384558022022247,
-0.02983686700463295,
0.0053458740003407,
-0.017205893993377686,
0.02014012075960636,
-0.02474784478545189,
0.03923414275050163,
0.08215474337339401,
0.01804151013493538,
0.01566208526492119,
-0.009469341486692429,
-0.021818924695253372,
0.011087083257734776,
-0.023550687357783318,
-0.0006773348432034254,
0.06336558610200882,
-0.02114964835345745,
-0.015190524980425835,
-0.00909151416271925,
0.021196935325860977,
-0.0013020250480622053,
0.08946099132299423,
-0.02944066934287548,
-0.010943586006760597,
0.03548560291528702,
0.013248316012322903,
0.0013368286890909076,
0.012035232037305832,
-0.030333777889609337,
-0.03206956014037132,
-0.046325892210006714,
0.013705313205718994,
0.10120459645986557,
0.06861799955368042,
-0.0366746224462986,
-0.04388025403022766,
-0.05965954065322876,
-0.01797877438366413,
-0.13394972681999207,
0.08041323721408844,
-0.09715215116739273,
-0.06610912829637527,
0.08686547726392746,
-0.002134784357622266,
-0.11616944521665573,
0.02897823601961136,
-0.0064734299667179585,
-0.0407092459499836,
0.07748226076364517,
-0.02944951318204403,
-0.007265718188136816,
-0.07792136073112488,
-0.003861695760861039,
-0.039357990026474,
-0.0567256361246109,
0.08852730691432953,
-0.0011965360026806593,
-0.028299618512392044,
-0.002671194728463888,
-0.1136292815208435,
0.029740801081061363,
0.05203410983085632,
-0.05903886258602142,
-0.06062859669327736,
-0.10713233053684235,
-0.029566949233412743,
0.02123701013624668,
-0.07836786657571793,
0.08567634969949722,
-3.0485444981667904e-33,
-0.006534820422530174,
-0.03541776165366173,
-0.03738851100206375,
0.02049764059484005,
-0.018990663811564445,
-0.1283315271139145,
-0.04504207521677017,
0.014918779954314232,
0.004518178291618824,
-0.030273767188191414,
-0.031413715332746506,
0.00999363325536251,
-0.0270511656999588,
0.014174948446452618,
0.03448725491762161,
-0.0028743974398821592,
-0.017394114285707474,
-0.04623996466398239,
-0.10265790671110153,
0.02411794476211071,
-0.06290826946496964,
0.0602760836482048,
-0.04636408016085625,
-0.03361368179321289,
0.020914025604724884,
0.05615294352173805,
-0.038533035665750504,
0.009037927724421024,
0.04688999429345131,
0.07114797085523605,
-0.042600296437740326,
-0.13243445754051208,
-0.02889159508049488,
0.02729237824678421,
-0.017593543976545334,
-0.010469893924891949,
0.05346474424004555,
0.06977388262748718,
-0.08752132952213287,
-0.05063667520880699,
0.02852776274085045,
-0.04914070665836334,
-0.018917422741651535,
0.07040171325206757,
0.007107758428901434,
0.010811781510710716,
0.004205725621432066,
0.07118749618530273,
0.03175855055451393,
-0.01242622546851635,
-0.013918749988079071,
-0.024730756878852844,
0.047597214579582214,
-0.017912499606609344,
0.08111807703971863,
-0.020475663244724274,
-0.027986187487840652,
0.001983676804229617,
0.011273741722106934,
-0.07632175087928772,
-0.01292618177831173,
-0.03961022198200226,
0.05329171195626259,
0.030171344056725502,
0.028208568692207336,
-0.033163782209157944,
0.00019888815586455166,
-0.05446161702275276,
-0.0473271980881691,
0.026888873428106308,
0.030528001487255096,
0.0025694998912513256,
-0.09059219807386398,
-0.06374870240688324,
-0.021485446020960808,
-0.019905641674995422,
0.022263584658503532,
0.06064240261912346,
0.022122055292129517,
0.06862234324216843,
0.07100962102413177,
-0.05578094348311424,
0.059246934950351715,
-0.04012627899646759,
0.08048786967992783,
-0.0002648573718033731,
-0.05984736233949661,
-0.011712274514138699,
0.017184389755129814,
0.021768171340227127,
-0.0027290522120893,
-0.014975165948271751,
0.05422213673591614,
0.05940902233123779,
0.023503130301833153,
-4.276308729345146e-8,
0.030430100858211517,
0.0007037291652522981,
-0.07006042450666428,
-0.0738738626241684,
0.03709181025624275,
-0.07562343776226044,
0.0035239846911281347,
0.0617881678044796,
-0.04409727826714516,
0.013065219856798649,
0.09194200485944748,
0.05050026997923851,
-0.06552062928676605,
0.042380448430776596,
0.021417388692498207,
0.0035992779303342104,
-0.011703619733452797,
0.022133763879537582,
-0.0550466887652874,
-0.01782667450606823,
-0.027453631162643433,
0.010718648321926594,
-0.09656357020139694,
0.04949401691555977,
0.0014098575338721275,
-0.023379500955343246,
-0.017374014481902122,
-0.0074106743559241295,
0.07052402198314667,
0.04627610370516777,
0.08605179190635681,
0.024799445644021034,
0.08576126396656036,
0.07747359573841095,
0.07558491826057434,
-0.00995229184627533,
-0.07704944908618927,
0.06065615266561508,
-0.06447578966617584,
-0.07891754806041718,
-0.029183581471443176,
-0.03877626359462738,
-0.03758691996335983,
-0.0163519736379385,
0.10248575359582901,
-0.0020374853629618883,
0.05045729875564575,
-0.03286493569612503,
-0.07291673123836517,
0.08408229053020477,
-0.031792253255844116,
0.007745405193418264,
-0.07632359117269516,
-0.05372586473822594,
-0.040324993431568146,
0.06929199397563934,
0.011260852217674255,
-0.028707465156912804,
0.045560579746961594,
-0.07665278017520905,
-0.0467965342104435,
0.02253088541328907,
0.08588007837533951,
-0.030382027849555016
] | null | null | null | null | null | null | null | [
-0.07163599133491516,
0.11094147711992264,
-0.012505291029810905,
-0.0022972363512963057,
0.019690509885549545,
-0.09800628572702408,
-0.013254841789603233,
-0.053180206567049026,
-0.026006212458014488,
-0.011379605159163475,
-0.07979747653007507,
-0.05260956287384033,
0.009197961539030075,
0.06972839683294296,
-0.02167559042572975,
-0.032248131930828094,
-0.0043292781338095665,
0.08165070414543152,
-0.04982736334204674,
0.04699553921818733,
-0.004777746275067329,
-0.017237074673175812,
-0.09328512102365494,
0.07260071486234665,
0.16951070725917816,
-0.04697693511843681,
0.03534505143761635,
0.014643662609159946,
0.0023788954131305218,
0.022904684767127037,
-0.011319993063807487,
0.07683452218770981,
-0.02348611317574978,
-0.02739020809531212,
-0.012779205106198788,
0.05915209278464317,
-0.02383551560342312,
0.053421687334775925,
0.00806826539337635,
-0.004437679890543222,
-0.0530506931245327,
0.010485010221600533,
-0.005836439318954945,
0.04076105356216431,
-0.025902388617396355,
0.09174329042434692,
-0.04974968731403351,
0.024055367335677147,
-0.0411415733397007,
-0.05424276739358902,
-0.01726469397544861,
0.016646206378936768,
-0.09388508647680283,
0.04292549937963486,
-0.011324279010295868,
-0.022798556834459305,
-0.022389233112335205,
-0.013601956889033318,
0.005244812928140163,
-0.013147469609975815,
-0.019853366538882256,
0.016962667927145958,
0.020403407514095306,
-0.031085001304745674,
-0.0400317944586277,
0.021440697833895683,
-0.021761838346719742,
0.01735374890267849,
0.011061274446547031,
0.0472053699195385,
0.03826882317662239,
0.006738876923918724,
-0.13253416121006012,
0.05455679073929787,
-0.008746882900595665,
-0.0168575718998909,
0.022467857226729393,
-0.07775674760341644,
-0.07032346725463867,
0.027063630521297455,
0.03081994131207466,
0.11745841056108475,
-0.06777429580688477,
0.023937111720442772,
0.010012136772274971,
-0.04907853901386261,
0.030219094827771187,
0.010329684242606163,
0.05413885787129402,
0.022111831232905388,
0.006184176541864872,
0.027350813150405884,
0.052892040461301804,
0.03995924070477486,
-0.03880688175559044,
-0.024619869887828827,
0.03120584599673748,
0.06724534183740616,
0.10571140795946121,
0.07369162887334824,
0.00844110082834959,
-0.008224597200751305,
0.06464463472366333,
-0.035988785326480865,
-0.0045280358754098415,
0.04955291002988815,
0.046286147087812424,
-0.004626438021659851,
-0.07135166227817535,
-0.12518569827079773,
0.055943965911865234,
-0.0880792886018753,
-0.034047894179821014,
-0.10161034017801285,
-0.00886048749089241,
0.0440850704908371,
0.010016665793955326,
0.05958827584981918,
0.04463064298033714,
-0.020621491596102715,
0.00798899494111538,
0.02674333192408085,
0.07545886933803558,
0.051891639828681946,
0.08989447355270386,
-0.0004327715141698718,
-0.06042856350541115,
2.048461638807028e-33,
-0.05467577651143074,
0.08210574090480804,
-0.0041803582571446896,
0.02880149893462658,
0.01371921505779028,
-0.01663646101951599,
0.04747588187456131,
0.023200176656246185,
0.08373875916004181,
0.14268448948860168,
-0.0042021009139716625,
0.049820367246866226,
-0.02865494042634964,
0.006710617803037167,
0.11714498698711395,
0.012405689805746078,
0.016312243416905403,
0.024366775527596474,
-0.1226891577243805,
-0.04181528463959694,
0.06825406849384308,
-0.021518973633646965,
-0.008317599073052406,
-0.0017777214525267482,
0.028680024668574333,
0.041350916028022766,
0.07384558022022247,
-0.02983686700463295,
0.0053458740003407,
-0.017205893993377686,
0.02014012075960636,
-0.02474784478545189,
0.03923414275050163,
0.08215474337339401,
0.01804151013493538,
0.01566208526492119,
-0.009469341486692429,
-0.021818924695253372,
0.011087083257734776,
-0.023550687357783318,
-0.0006773348432034254,
0.06336558610200882,
-0.02114964835345745,
-0.015190524980425835,
-0.00909151416271925,
0.021196935325860977,
-0.0013020250480622053,
0.08946099132299423,
-0.02944066934287548,
-0.010943586006760597,
0.03548560291528702,
0.013248316012322903,
0.0013368286890909076,
0.012035232037305832,
-0.030333777889609337,
-0.03206956014037132,
-0.046325892210006714,
0.013705313205718994,
0.10120459645986557,
0.06861799955368042,
-0.0366746224462986,
-0.04388025403022766,
-0.05965954065322876,
-0.01797877438366413,
-0.13394972681999207,
0.08041323721408844,
-0.09715215116739273,
-0.06610912829637527,
0.08686547726392746,
-0.002134784357622266,
-0.11616944521665573,
0.02897823601961136,
-0.0064734299667179585,
-0.0407092459499836,
0.07748226076364517,
-0.02944951318204403,
-0.007265718188136816,
-0.07792136073112488,
-0.003861695760861039,
-0.039357990026474,
-0.0567256361246109,
0.08852730691432953,
-0.0011965360026806593,
-0.028299618512392044,
-0.002671194728463888,
-0.1136292815208435,
0.029740801081061363,
0.05203410983085632,
-0.05903886258602142,
-0.06062859669327736,
-0.10713233053684235,
-0.029566949233412743,
0.02123701013624668,
-0.07836786657571793,
0.08567634969949722,
-3.0485444981667904e-33,
-0.006534820422530174,
-0.03541776165366173,
-0.03738851100206375,
0.02049764059484005,
-0.018990663811564445,
-0.1283315271139145,
-0.04504207521677017,
0.014918779954314232,
0.004518178291618824,
-0.030273767188191414,
-0.031413715332746506,
0.00999363325536251,
-0.0270511656999588,
0.014174948446452618,
0.03448725491762161,
-0.0028743974398821592,
-0.017394114285707474,
-0.04623996466398239,
-0.10265790671110153,
0.02411794476211071,
-0.06290826946496964,
0.0602760836482048,
-0.04636408016085625,
-0.03361368179321289,
0.020914025604724884,
0.05615294352173805,
-0.038533035665750504,
0.009037927724421024,
0.04688999429345131,
0.07114797085523605,
-0.042600296437740326,
-0.13243445754051208,
-0.02889159508049488,
0.02729237824678421,
-0.017593543976545334,
-0.010469893924891949,
0.05346474424004555,
0.06977388262748718,
-0.08752132952213287,
-0.05063667520880699,
0.02852776274085045,
-0.04914070665836334,
-0.018917422741651535,
0.07040171325206757,
0.007107758428901434,
0.010811781510710716,
0.004205725621432066,
0.07118749618530273,
0.03175855055451393,
-0.01242622546851635,
-0.013918749988079071,
-0.024730756878852844,
0.047597214579582214,
-0.017912499606609344,
0.08111807703971863,
-0.020475663244724274,
-0.027986187487840652,
0.001983676804229617,
0.011273741722106934,
-0.07632175087928772,
-0.01292618177831173,
-0.03961022198200226,
0.05329171195626259,
0.030171344056725502,
0.028208568692207336,
-0.033163782209157944,
0.00019888815586455166,
-0.05446161702275276,
-0.0473271980881691,
0.026888873428106308,
0.030528001487255096,
0.0025694998912513256,
-0.09059219807386398,
-0.06374870240688324,
-0.021485446020960808,
-0.019905641674995422,
0.022263584658503532,
0.06064240261912346,
0.022122055292129517,
0.06862234324216843,
0.07100962102413177,
-0.05578094348311424,
0.059246934950351715,
-0.04012627899646759,
0.08048786967992783,
-0.0002648573718033731,
-0.05984736233949661,
-0.011712274514138699,
0.017184389755129814,
0.021768171340227127,
-0.0027290522120893,
-0.014975165948271751,
0.05422213673591614,
0.05940902233123779,
0.023503130301833153,
-4.276308729345146e-8,
0.030430100858211517,
0.0007037291652522981,
-0.07006042450666428,
-0.0738738626241684,
0.03709181025624275,
-0.07562343776226044,
0.0035239846911281347,
0.0617881678044796,
-0.04409727826714516,
0.013065219856798649,
0.09194200485944748,
0.05050026997923851,
-0.06552062928676605,
0.042380448430776596,
0.021417388692498207,
0.0035992779303342104,
-0.011703619733452797,
0.022133763879537582,
-0.0550466887652874,
-0.01782667450606823,
-0.027453631162643433,
0.010718648321926594,
-0.09656357020139694,
0.04949401691555977,
0.0014098575338721275,
-0.023379500955343246,
-0.017374014481902122,
-0.0074106743559241295,
0.07052402198314667,
0.04627610370516777,
0.08605179190635681,
0.024799445644021034,
0.08576126396656036,
0.07747359573841095,
0.07558491826057434,
-0.00995229184627533,
-0.07704944908618927,
0.06065615266561508,
-0.06447578966617584,
-0.07891754806041718,
-0.029183581471443176,
-0.03877626359462738,
-0.03758691996335983,
-0.0163519736379385,
0.10248575359582901,
-0.0020374853629618883,
0.05045729875564575,
-0.03286493569612503,
-0.07291673123836517,
0.08408229053020477,
-0.031792253255844116,
0.007745405193418264,
-0.07632359117269516,
-0.05372586473822594,
-0.040324993431568146,
0.06929199397563934,
0.011260852217674255,
-0.028707465156912804,
0.045560579746961594,
-0.07665278017520905,
-0.0467965342104435,
0.02253088541328907,
0.08588007837533951,
-0.030382027849555016
] |
1401.0648 | Carl Mummert | Carl Mummert, Alaeddine Saadaoui, Sean Sovine | The modal logic of Reverse Mathematics | null | Archive for Mathematical Logic May 2015, Volume 54, Issue 3-4, pp
425-437 | 10.1007/s00153-015-0417-z | null | math.LO cs.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The implication relationship between subsystems in Reverse Mathematics has an
underlying logic, which can be used to deduce certain new Reverse Mathematics
results from existing ones in a routine way. We use techniques of modal logic
to formalize the logic of Reverse Mathematics into a system that we name
s-logic. We argue that s-logic captures precisely the "logical" content of the
implication and nonimplication relations between subsystems in Reverse
Mathematics. We present a sound, complete, decidable, and compact tableau-style
deductive system for s-logic, and explore in detail two fragments that are
particularly relevant to Reverse Mathematics practice and automated theorem
proving of Reverse Mathematics results.
| [
{
"created": "Fri, 3 Jan 2014 13:51:02 GMT",
"version": "v1"
}
] | 2015-04-21 | [
[
"Mummert",
"Carl",
""
],
[
"Saadaoui",
"Alaeddine",
""
],
[
"Sovine",
"Sean",
""
]
] | [
-0.033126309514045715,
-0.010278894565999508,
-0.007341903168708086,
-0.052921488881111145,
-0.04809780418872833,
-0.056607138365507126,
-0.031376730650663376,
0.035918112844228745,
-0.049601927399635315,
0.061614636331796646,
-0.019246406853199005,
0.02120133861899376,
0.10620191693305969,
0.005760421045124531,
-0.006366151850670576,
-0.02887781895697117,
-0.02146047353744507,
0.019092323258519173,
0.018750563263893127,
-0.07780877500772476,
0.030528074130415916,
-0.0027517974376678467,
-0.12305953353643417,
0.011152157559990883,
0.04315517842769623,
0.09628009051084518,
-0.04657228663563728,
-0.0065403468906879425,
-0.0021562327165156603,
-0.0034715053625404835,
-0.05956290289759636,
0.0528462678194046,
-0.03330053761601448,
-0.008273543789982796,
-0.01230075117200613,
0.05758607015013695,
0.08233615010976791,
0.012075761333107948,
0.05105733871459961,
0.04772575944662094,
-0.12963394820690155,
-0.07356614619493484,
-0.008180757984519005,
-0.0008283791830763221,
-0.000702347606420517,
0.04861694946885109,
-0.10469473898410797,
0.02315732277929783,
-0.06699097901582718,
-0.023639103397727013,
0.004033003933727741,
0.05118173733353615,
-0.054312486201524734,
-0.02698446996510029,
0.08477433025836945,
0.04652487486600876,
0.024812936782836914,
-0.006045786198228598,
-0.0760052278637886,
-0.1078152284026146,
-0.046491026878356934,
-0.02922554314136505,
-0.03496009111404419,
-0.00757968332618475,
0.04999670013785362,
0.062001124024391174,
-0.07390271872282028,
0.03500976786017418,
0.032138459384441376,
0.06324003636837006,
0.00133011385332793,
0.0004999955999664962,
-0.07216046750545502,
0.1243174821138382,
-0.07799896597862244,
-0.006450549233704805,
0.043382540345191956,
0.05824665725231171,
-0.01677533984184265,
0.00008008426812011749,
-0.008567162789404392,
-0.009804808534681797,
0.022654550150036812,
0.056432195007801056,
0.03366238623857498,
-0.04715530201792717,
-0.034207530319690704,
-0.05093410611152649,
0.050592415034770966,
0.029103847220540047,
0.023901309818029404,
-0.07266832143068314,
0.11906125396490097,
0.039534736424684525,
0.04082508385181427,
-0.0021621487103402615,
-0.032928716391325,
-0.04537907615303993,
0.06566716730594635,
0.06812096387147903,
0.0009432855877093971,
0.09499228745698929,
0.02597130462527275,
-0.032570816576480865,
0.05423649027943611,
0.020692603662610054,
0.022856546565890312,
-0.007879975251853466,
0.0012109256349503994,
-0.1082250326871872,
0.028452642261981964,
-0.0026058140210807323,
0.08228196948766708,
-0.056219395250082016,
0.009040090255439281,
0.0038795641157776117,
0.03439243510365486,
0.08429943025112152,
0.021159838885068893,
-0.13301311433315277,
-0.0031635614577680826,
0.02856498584151268,
0.013986516743898392,
0.0651991069316864,
0.10611581802368164,
-0.022174958139657974,
-0.08617590367794037,
3.5324289416656117e-34,
-0.014359385706484318,
0.05834093689918518,
0.10020623356103897,
0.05057771876454353,
0.0176438856869936,
-0.010442246682941914,
0.012589325197041035,
0.05144786462187767,
0.012017140164971352,
0.11975052207708359,
-0.0004139305092394352,
0.13077537715435028,
-0.046863485127687454,
-0.0049940962344408035,
-0.01700071059167385,
0.07069482654333115,
0.04083599895238876,
-0.062468063086271286,
-0.10735928267240524,
-0.07515154033899307,
0.02802014723420143,
0.016466058790683746,
-0.04870176315307617,
-0.004848509095609188,
0.008100048638880253,
0.021854884922504425,
0.07661528885364532,
-0.039413221180438995,
0.01958238147199154,
-0.011440393514931202,
0.011346527375280857,
-0.02532295510172844,
0.02557389810681343,
0.04346060752868652,
-0.00709973881021142,
0.026365287601947784,
0.025371713563799858,
-0.07207518815994263,
0.020880768075585365,
0.002601322717964649,
0.0341801792383194,
-0.0014171635266393423,
-0.10419058054685593,
-0.05024521052837372,
0.0024982912000268698,
-0.03135935589671135,
-0.04227346554398537,
0.03404815495014191,
0.011542627587914467,
-0.12971551716327667,
0.03286261484026909,
0.021221883594989777,
-0.06324802339076996,
-0.05281725153326988,
-0.0007967326673679054,
-0.03296889737248421,
-0.026714906096458435,
0.0644032433629036,
0.08599778264760971,
0.0955791100859642,
-0.007822223007678986,
0.0068801590241491795,
-0.040644675493240356,
0.02249225229024887,
-0.1195841133594513,
0.0681714341044426,
-0.1546044945716858,
-0.011761250905692577,
0.07310336828231812,
-0.027862919494509697,
-0.11270034313201904,
0.01763756014406681,
-0.018964888527989388,
0.016526157036423683,
0.08414936810731888,
-0.04081816226243973,
-0.0018935694824904203,
-0.07840503007173538,
0.045974742621183395,
-0.013156788423657417,
0.015332365408539772,
0.0411953441798687,
-0.04407057911157608,
0.023073144257068634,
0.08418196439743042,
-0.05135698989033699,
-0.03752307966351509,
-0.07932198792695999,
-0.056121937930583954,
-0.07646704465150833,
-0.07158195227384567,
-0.06736304610967636,
0.026096433401107788,
0.03569132462143898,
0.05510643869638443,
-3.450129918935155e-33,
-0.0679006278514862,
-0.029966091737151146,
-0.10647312551736832,
0.049674924463033676,
-0.04755013808608055,
-0.03227575495839119,
0.036955490708351135,
0.0013782338937744498,
-0.0002885193971451372,
-0.023136945441365242,
-0.015933822840452194,
-0.000056842618505470455,
0.02279476448893547,
-0.044168900698423386,
-0.026411237195134163,
0.02893489971756935,
0.034182291477918625,
-0.03131695091724396,
-0.04701559245586395,
0.03138360008597374,
-0.017898768186569214,
0.132961705327034,
0.012921636924147606,
-0.04773012921214104,
0.016263458877801895,
0.0070052132941782475,
-0.008703382685780525,
0.08462156355381012,
0.008799420669674873,
0.05424850434064865,
0.02435738407075405,
-0.10919004678726196,
0.06908060610294342,
-0.009395193308591843,
-0.07502242922782898,
-0.046812742948532104,
0.020894763991236687,
0.05666659399867058,
-0.07282357662916183,
-0.07313766330480576,
-0.016016174107789993,
-0.08343066275119781,
0.056108228862285614,
-0.021775146946310997,
0.05131392553448677,
-0.036807022988796234,
-0.043936025351285934,
0.019935252144932747,
0.015046671032905579,
-0.11238569021224976,
0.05421191081404686,
-0.08948612213134766,
0.005370991304516792,
-0.036300577223300934,
0.06573326885700226,
0.0131786884739995,
-0.03590031713247299,
0.010880778543651104,
0.01622169092297554,
0.06466257572174072,
-0.028740525245666504,
-0.01722092553973198,
0.03705507516860962,
0.05242970213294029,
0.02904849499464035,
0.0004110535664949566,
-0.07152209430932999,
0.04491748660802841,
0.028083162382245064,
-0.05652620643377304,
-0.004309616517275572,
0.050830159336328506,
-0.04963498190045357,
-0.007148813456296921,
0.08467677980661392,
0.01726485602557659,
-0.05929703265428543,
0.05016268044710159,
-0.004176504909992218,
-0.030795440077781677,
-0.030274121090769768,
-0.04743652045726776,
0.03492575138807297,
-0.007041769102215767,
-0.06369711458683014,
-0.010533219203352928,
0.026493992656469345,
0.050178222358226776,
-0.008937142789363861,
0.08605073392391205,
-0.04476539418101311,
-0.014668921940028667,
0.0229218527674675,
0.04706409201025963,
0.03182753548026085,
-3.5923001462379034e-8,
-0.01698843017220497,
0.042485762387514114,
0.05377674475312233,
0.03322635591030121,
0.03084654174745083,
0.035214051604270935,
0.023927602916955948,
-0.013084609992802143,
-0.024790890514850616,
-0.13985109329223633,
-0.015528556890785694,
0.0534665510058403,
-0.030763689428567886,
0.013880765065550804,
-0.029810626059770584,
0.07548356056213379,
0.05542581155896187,
-0.02160797081887722,
-0.025109833106398582,
0.04740234836935997,
0.07366127520799637,
-0.02093033865094185,
0.034767769277095795,
0.05076313763856888,
0.03634372726082802,
-0.0002483704301994294,
-0.045642077922821045,
0.03813173994421959,
0.03301427513360977,
0.003921248950064182,
-0.02614661678671837,
-0.024458862841129303,
0.04142839089035988,
0.010210934095084667,
0.023822244256734848,
0.012297820299863815,
-0.0115656154230237,
0.015651991590857506,
0.05146101489663124,
-0.09656675904989243,
-0.04177315533161163,
0.008077749982476234,
-0.08344966918230057,
0.0615294985473156,
0.06071754917502403,
-0.0053511424921453,
0.05398966372013092,
-0.022837435826659203,
-0.07566255331039429,
0.01667812652885914,
-0.0003540322359185666,
-0.05455474928021431,
-0.03831746056675911,
-0.018497994169592857,
-0.022346366196870804,
0.03323313966393471,
-0.044462673366069794,
0.014958114363253117,
-0.029478220269083977,
-0.03360246121883392,
0.013031268492341042,
0.0744238868355751,
0.05753742903470993,
-0.03727443516254425
] | null | null | null | null | null | null | null | [
-0.033126309514045715,
-0.010278894565999508,
-0.007341903168708086,
-0.052921488881111145,
-0.04809780418872833,
-0.056607138365507126,
-0.031376730650663376,
0.035918112844228745,
-0.049601927399635315,
0.061614636331796646,
-0.019246406853199005,
0.02120133861899376,
0.10620191693305969,
0.005760421045124531,
-0.006366151850670576,
-0.02887781895697117,
-0.02146047353744507,
0.019092323258519173,
0.018750563263893127,
-0.07780877500772476,
0.030528074130415916,
-0.0027517974376678467,
-0.12305953353643417,
0.011152157559990883,
0.04315517842769623,
0.09628009051084518,
-0.04657228663563728,
-0.0065403468906879425,
-0.0021562327165156603,
-0.0034715053625404835,
-0.05956290289759636,
0.0528462678194046,
-0.03330053761601448,
-0.008273543789982796,
-0.01230075117200613,
0.05758607015013695,
0.08233615010976791,
0.012075761333107948,
0.05105733871459961,
0.04772575944662094,
-0.12963394820690155,
-0.07356614619493484,
-0.008180757984519005,
-0.0008283791830763221,
-0.000702347606420517,
0.04861694946885109,
-0.10469473898410797,
0.02315732277929783,
-0.06699097901582718,
-0.023639103397727013,
0.004033003933727741,
0.05118173733353615,
-0.054312486201524734,
-0.02698446996510029,
0.08477433025836945,
0.04652487486600876,
0.024812936782836914,
-0.006045786198228598,
-0.0760052278637886,
-0.1078152284026146,
-0.046491026878356934,
-0.02922554314136505,
-0.03496009111404419,
-0.00757968332618475,
0.04999670013785362,
0.062001124024391174,
-0.07390271872282028,
0.03500976786017418,
0.032138459384441376,
0.06324003636837006,
0.00133011385332793,
0.0004999955999664962,
-0.07216046750545502,
0.1243174821138382,
-0.07799896597862244,
-0.006450549233704805,
0.043382540345191956,
0.05824665725231171,
-0.01677533984184265,
0.00008008426812011749,
-0.008567162789404392,
-0.009804808534681797,
0.022654550150036812,
0.056432195007801056,
0.03366238623857498,
-0.04715530201792717,
-0.034207530319690704,
-0.05093410611152649,
0.050592415034770966,
0.029103847220540047,
0.023901309818029404,
-0.07266832143068314,
0.11906125396490097,
0.039534736424684525,
0.04082508385181427,
-0.0021621487103402615,
-0.032928716391325,
-0.04537907615303993,
0.06566716730594635,
0.06812096387147903,
0.0009432855877093971,
0.09499228745698929,
0.02597130462527275,
-0.032570816576480865,
0.05423649027943611,
0.020692603662610054,
0.022856546565890312,
-0.007879975251853466,
0.0012109256349503994,
-0.1082250326871872,
0.028452642261981964,
-0.0026058140210807323,
0.08228196948766708,
-0.056219395250082016,
0.009040090255439281,
0.0038795641157776117,
0.03439243510365486,
0.08429943025112152,
0.021159838885068893,
-0.13301311433315277,
-0.0031635614577680826,
0.02856498584151268,
0.013986516743898392,
0.0651991069316864,
0.10611581802368164,
-0.022174958139657974,
-0.08617590367794037,
3.5324289416656117e-34,
-0.014359385706484318,
0.05834093689918518,
0.10020623356103897,
0.05057771876454353,
0.0176438856869936,
-0.010442246682941914,
0.012589325197041035,
0.05144786462187767,
0.012017140164971352,
0.11975052207708359,
-0.0004139305092394352,
0.13077537715435028,
-0.046863485127687454,
-0.0049940962344408035,
-0.01700071059167385,
0.07069482654333115,
0.04083599895238876,
-0.062468063086271286,
-0.10735928267240524,
-0.07515154033899307,
0.02802014723420143,
0.016466058790683746,
-0.04870176315307617,
-0.004848509095609188,
0.008100048638880253,
0.021854884922504425,
0.07661528885364532,
-0.039413221180438995,
0.01958238147199154,
-0.011440393514931202,
0.011346527375280857,
-0.02532295510172844,
0.02557389810681343,
0.04346060752868652,
-0.00709973881021142,
0.026365287601947784,
0.025371713563799858,
-0.07207518815994263,
0.020880768075585365,
0.002601322717964649,
0.0341801792383194,
-0.0014171635266393423,
-0.10419058054685593,
-0.05024521052837372,
0.0024982912000268698,
-0.03135935589671135,
-0.04227346554398537,
0.03404815495014191,
0.011542627587914467,
-0.12971551716327667,
0.03286261484026909,
0.021221883594989777,
-0.06324802339076996,
-0.05281725153326988,
-0.0007967326673679054,
-0.03296889737248421,
-0.026714906096458435,
0.0644032433629036,
0.08599778264760971,
0.0955791100859642,
-0.007822223007678986,
0.0068801590241491795,
-0.040644675493240356,
0.02249225229024887,
-0.1195841133594513,
0.0681714341044426,
-0.1546044945716858,
-0.011761250905692577,
0.07310336828231812,
-0.027862919494509697,
-0.11270034313201904,
0.01763756014406681,
-0.018964888527989388,
0.016526157036423683,
0.08414936810731888,
-0.04081816226243973,
-0.0018935694824904203,
-0.07840503007173538,
0.045974742621183395,
-0.013156788423657417,
0.015332365408539772,
0.0411953441798687,
-0.04407057911157608,
0.023073144257068634,
0.08418196439743042,
-0.05135698989033699,
-0.03752307966351509,
-0.07932198792695999,
-0.056121937930583954,
-0.07646704465150833,
-0.07158195227384567,
-0.06736304610967636,
0.026096433401107788,
0.03569132462143898,
0.05510643869638443,
-3.450129918935155e-33,
-0.0679006278514862,
-0.029966091737151146,
-0.10647312551736832,
0.049674924463033676,
-0.04755013808608055,
-0.03227575495839119,
0.036955490708351135,
0.0013782338937744498,
-0.0002885193971451372,
-0.023136945441365242,
-0.015933822840452194,
-0.000056842618505470455,
0.02279476448893547,
-0.044168900698423386,
-0.026411237195134163,
0.02893489971756935,
0.034182291477918625,
-0.03131695091724396,
-0.04701559245586395,
0.03138360008597374,
-0.017898768186569214,
0.132961705327034,
0.012921636924147606,
-0.04773012921214104,
0.016263458877801895,
0.0070052132941782475,
-0.008703382685780525,
0.08462156355381012,
0.008799420669674873,
0.05424850434064865,
0.02435738407075405,
-0.10919004678726196,
0.06908060610294342,
-0.009395193308591843,
-0.07502242922782898,
-0.046812742948532104,
0.020894763991236687,
0.05666659399867058,
-0.07282357662916183,
-0.07313766330480576,
-0.016016174107789993,
-0.08343066275119781,
0.056108228862285614,
-0.021775146946310997,
0.05131392553448677,
-0.036807022988796234,
-0.043936025351285934,
0.019935252144932747,
0.015046671032905579,
-0.11238569021224976,
0.05421191081404686,
-0.08948612213134766,
0.005370991304516792,
-0.036300577223300934,
0.06573326885700226,
0.0131786884739995,
-0.03590031713247299,
0.010880778543651104,
0.01622169092297554,
0.06466257572174072,
-0.028740525245666504,
-0.01722092553973198,
0.03705507516860962,
0.05242970213294029,
0.02904849499464035,
0.0004110535664949566,
-0.07152209430932999,
0.04491748660802841,
0.028083162382245064,
-0.05652620643377304,
-0.004309616517275572,
0.050830159336328506,
-0.04963498190045357,
-0.007148813456296921,
0.08467677980661392,
0.01726485602557659,
-0.05929703265428543,
0.05016268044710159,
-0.004176504909992218,
-0.030795440077781677,
-0.030274121090769768,
-0.04743652045726776,
0.03492575138807297,
-0.007041769102215767,
-0.06369711458683014,
-0.010533219203352928,
0.026493992656469345,
0.050178222358226776,
-0.008937142789363861,
0.08605073392391205,
-0.04476539418101311,
-0.014668921940028667,
0.0229218527674675,
0.04706409201025963,
0.03182753548026085,
-3.5923001462379034e-8,
-0.01698843017220497,
0.042485762387514114,
0.05377674475312233,
0.03322635591030121,
0.03084654174745083,
0.035214051604270935,
0.023927602916955948,
-0.013084609992802143,
-0.024790890514850616,
-0.13985109329223633,
-0.015528556890785694,
0.0534665510058403,
-0.030763689428567886,
0.013880765065550804,
-0.029810626059770584,
0.07548356056213379,
0.05542581155896187,
-0.02160797081887722,
-0.025109833106398582,
0.04740234836935997,
0.07366127520799637,
-0.02093033865094185,
0.034767769277095795,
0.05076313763856888,
0.03634372726082802,
-0.0002483704301994294,
-0.045642077922821045,
0.03813173994421959,
0.03301427513360977,
0.003921248950064182,
-0.02614661678671837,
-0.024458862841129303,
0.04142839089035988,
0.010210934095084667,
0.023822244256734848,
0.012297820299863815,
-0.0115656154230237,
0.015651991590857506,
0.05146101489663124,
-0.09656675904989243,
-0.04177315533161163,
0.008077749982476234,
-0.08344966918230057,
0.0615294985473156,
0.06071754917502403,
-0.0053511424921453,
0.05398966372013092,
-0.022837435826659203,
-0.07566255331039429,
0.01667812652885914,
-0.0003540322359185666,
-0.05455474928021431,
-0.03831746056675911,
-0.018497994169592857,
-0.022346366196870804,
0.03323313966393471,
-0.044462673366069794,
0.014958114363253117,
-0.029478220269083977,
-0.03360246121883392,
0.013031268492341042,
0.0744238868355751,
0.05753742903470993,
-0.03727443516254425
] |
1401.0654 | Weihua Deng Professor | Weihua Deng, Minghua Chen, Eli Barkai | Numerical algorithms for the forward and backward fractional Feynman-Kac
equations | 27 pages, 8 figures | Journal of Scientific Computing, 62(3), 718-746, 2015 | 10.1007/s10915-014-9873-6 | null | physics.comp-ph math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Feynman-Kac equations are a type of partial differential equations
describing the distribution of functionals of diffusive motion. The probability
density function (PDF) of Brownian functionals satisfies the Feynman-Kac
formula, being a Schr\"{o}dinger equation in imaginary time. The functionals of
no-Brownian motion, or anomalous diffusion, follow the fractional Feynman-Kac
equation [J. Stat. Phys. 141, 1071-1092, 2010], where the fractional
substantial derivative is involved. Based on recently developed discretized
schemes for fractional substantial derivatives [arXiv:1310.3086], this paper
focuses on providing algorithms for numerically solving the forward and
backward fractional Feynman-Kac equations; since the fractional substantial
derivative is non-local time-space coupled operator, new challenges are
introduced comparing with the general fractional derivative. Two ways (finite
difference and finite element) of discretizing the space derivative are
considered. For the backward fractional Feynman-Kac equation, the numerical
stability and convergence of the algorithms with first order accuracy are
theoretically discussed; and the optimal estimates are obtained. For all the
provided schemes, including the first order and high order ones, of both
forward and backward Feynman-Kac equations, extensive numerical experiments are
performed to show their effectiveness.
| [
{
"created": "Fri, 3 Jan 2014 14:29:29 GMT",
"version": "v1"
}
] | 2015-02-03 | [
[
"Deng",
"Weihua",
""
],
[
"Chen",
"Minghua",
""
],
[
"Barkai",
"Eli",
""
]
] | [
-0.1113257184624672,
-0.06971133500337601,
0.052508991211652756,
0.057831428945064545,
0.02484956569969654,
-0.024368006736040115,
-0.009009226225316525,
-0.04290982708334923,
0.03943074122071266,
0.06816067546606064,
0.005931816063821316,
0.0027428881730884314,
-0.1002935841679573,
0.041954588145017624,
0.024400854483246803,
-0.048771973699331284,
0.06198158115148544,
0.040525756776332855,
-0.03706595301628113,
0.027446839958429337,
-0.08672188967466354,
0.06986147910356522,
0.021002797409892082,
-0.021525803953409195,
0.06551625579595566,
-0.03977549076080322,
0.018864549696445465,
0.009019729681313038,
0.02188672125339508,
-0.03776928782463074,
0.05785044655203819,
0.003318427363410592,
-0.05150913819670677,
-0.07247811555862427,
-0.005301394499838352,
-0.014915662817656994,
-0.043660517781972885,
-0.019806494936347008,
0.02453448623418808,
-0.019960366189479828,
-0.00364176114089787,
0.05186424031853676,
-0.07776430249214172,
-0.0022439821623265743,
0.0010606753639876842,
-0.08770342171192169,
-0.036879390478134155,
-0.032615240663290024,
0.04535611346364021,
0.0516868494451046,
0.0910823717713356,
0.06370773166418076,
-0.1008245125412941,
-0.03556336089968681,
0.0006924983463250101,
-0.06486483663320541,
0.017442168667912483,
-0.02915988117456436,
0.036150265485048294,
0.0416058786213398,
0.004914024379104376,
0.010311184450984001,
-0.03318329155445099,
-0.034488171339035034,
-0.007123176008462906,
-0.043967992067337036,
0.04757416620850563,
-0.051481377333402634,
0.028714599087834358,
0.08472662419080734,
-0.04538004472851753,
0.00754195312038064,
-0.016526594758033752,
-0.0017381219659000635,
0.007523953448981047,
-0.0954248458147049,
0.04022764042019844,
0.02442733570933342,
-0.011719172820448875,
-0.04577196389436722,
0.01885773241519928,
0.008060317486524582,
0.049928344786167145,
-0.1104043573141098,
-0.038948506116867065,
0.07298579066991806,
0.003508165944367647,
0.0327783077955246,
0.04599258676171303,
-0.04582254961133003,
0.056146617978811264,
0.04059169441461563,
-0.017581962049007416,
-0.14375658333301544,
0.1326509714126587,
-0.045686934143304825,
0.017786800861358643,
0.035919297486543655,
0.04577619954943657,
0.02888745442032814,
-0.009763746522367,
-0.03011169098317623,
0.008408290334045887,
-0.006028555799275637,
-0.010286697186529636,
-0.04395926371216774,
-0.021959323436021805,
0.026032235473394394,
0.02408081665635109,
0.051139283925294876,
-0.04283063858747482,
-0.027674736455082893,
-0.03367859497666359,
0.03391361981630325,
-0.012698919512331486,
-0.11511214822530746,
0.052360307425260544,
-0.0559455044567585,
0.06809884309768677,
-0.06407275795936584,
0.014215901494026184,
-0.07728565484285355,
-0.012841121293604374,
0.061780303716659546,
0.02794913947582245,
-0.0031550489366054535,
0.049883246421813965,
1.5740946128702882e-34,
0.041680172085762024,
-0.04203801974654198,
-0.019703153520822525,
0.017120765522122383,
0.06374246627092361,
0.012515228241682053,
0.023250805214047432,
-0.005108552053570747,
-0.07088033854961395,
0.0022616845089942217,
-0.05810413509607315,
0.024778764694929123,
-0.04983555153012276,
-0.1248881071805954,
0.0069636395201087,
-0.02450861781835556,
-0.011450638063251972,
-0.018865199759602547,
0.05813194811344147,
-0.009349413216114044,
0.14268353581428528,
0.02089022286236286,
0.01967478357255459,
0.06950931251049042,
0.011635243892669678,
-0.01781814731657505,
0.022065190598368645,
0.031243104487657547,
0.011666513979434967,
0.017025262117385864,
-0.07792435586452484,
-0.020563535392284393,
-0.025497302412986755,
-0.07599952816963196,
0.03440804034471512,
0.05572117865085602,
-0.052870552986860275,
0.029608871787786484,
-0.020314093679189682,
-0.0042231446132063866,
-0.0652756616473198,
0.009210361167788506,
-0.07051752507686615,
0.0044970703311264515,
-0.0773632675409317,
0.008463388308882713,
0.03822942078113556,
0.01738707907497883,
0.013386372476816177,
-0.0951513797044754,
-0.07898813486099243,
-0.01871553435921669,
0.011779009364545345,
-0.01338256150484085,
0.015078887343406677,
-0.0030800525564700365,
0.12029778212308884,
-0.045578233897686005,
-0.03858521953225136,
-0.0032601591665297747,
0.04231926053762436,
0.03263202682137489,
0.054180458188056946,
0.03498345613479614,
0.06119224801659584,
-0.08663910627365112,
-0.05150163546204567,
0.084447480738163,
-0.031093589961528778,
0.0017022363608703017,
0.042115967720746994,
0.06188355013728142,
0.05293435603380203,
-0.017836814746260643,
0.011074046604335308,
-0.06410045176744461,
0.05079306289553642,
0.026559721678495407,
-0.05799625441431999,
-0.041980188339948654,
-0.02107275277376175,
-0.05593948811292648,
-0.012741600163280964,
0.04032183066010475,
-0.014079000800848007,
-0.04840482026338577,
-0.04802558571100235,
-0.013077862560749054,
-0.024792926385998726,
-0.08961956948041916,
-0.06784939765930176,
-0.041376516222953796,
0.08495958894491196,
-0.0036410135217010975,
-0.005983355455100536,
-2.6123198302735858e-33,
0.008665497414767742,
0.037803519517183304,
0.03905942663550377,
0.06860409677028656,
-0.06339059770107269,
-0.03377540782094002,
0.00566131342202425,
0.03535529226064682,
0.12197073549032211,
-0.018118277192115784,
-0.05796100199222565,
0.050932157784700394,
-0.026911020278930664,
-0.005114237777888775,
0.05201328173279762,
-0.09712719172239304,
-0.007651739753782749,
0.06871812790632248,
-0.03521592542529106,
0.06299284100532532,
-0.039666153490543365,
0.012969938106834888,
0.03045436553657055,
-0.02026367001235485,
-0.04056696966290474,
-0.00977069977670908,
-0.025414414703845978,
0.06436533480882645,
-0.09047703444957733,
0.01668640784919262,
-0.05169910192489624,
-0.06269549578428268,
0.01888265833258629,
-0.014796916395425797,
-0.07134612649679184,
-0.001816022559069097,
0.010326063260436058,
0.1009972095489502,
-0.010318775661289692,
-0.0034298195969313383,
0.04411786422133446,
0.00657451618462801,
0.012649142183363438,
-0.025046302005648613,
0.05715307593345642,
-0.011331637389957905,
0.012494281865656376,
0.03454884514212608,
-0.05243414267897606,
0.022814074531197548,
0.024153295904397964,
0.024241410195827484,
-0.03153107687830925,
0.07550635933876038,
-0.07952830940485,
0.09848500788211823,
0.008900613524019718,
-0.01993480883538723,
0.04342387244105339,
0.04948044940829277,
-0.03889251872897148,
0.00674847885966301,
0.13001304864883423,
0.017335183918476105,
-0.06696511059999466,
0.008022665977478027,
-0.039058271795511246,
0.03583572432398796,
0.019774647429585457,
-0.04426679015159607,
-0.0801069512963295,
-0.06240161135792732,
0.056574251502752304,
0.130946084856987,
0.03579016774892807,
-0.08007098734378815,
0.07206013053655624,
0.0804886743426323,
0.06826574355363846,
0.013526552356779575,
0.06397382915019989,
0.022796902805566788,
-0.008094451390206814,
-0.09657034277915955,
-0.0043707857839763165,
0.009868824854493141,
0.04564928635954857,
0.038323774933815,
0.09032970666885376,
-0.08962756395339966,
0.07216347008943558,
0.013200498186051846,
0.0836009606719017,
0.021750569343566895,
0.040629707276821136,
-4.143372933640421e-8,
0.017875872552394867,
-0.018942957744002342,
-0.03905152156949043,
-0.05419837310910225,
0.06518173962831497,
-0.001355398097075522,
-0.010651819407939911,
-0.06455501168966293,
0.041021957993507385,
-0.07983636111021042,
0.00764725636690855,
0.028300127014517784,
-0.02071409299969673,
-0.11494113504886627,
0.0012538001174107194,
0.06712638586759567,
0.03530057892203331,
-0.06338349729776382,
0.0011899855453521013,
-0.03875210881233215,
-0.056421831250190735,
0.003392685204744339,
0.10563361644744873,
-0.05886412784457207,
0.03245000168681145,
0.02375398762524128,
-0.15933285653591156,
0.024053236469626427,
-0.014576582238078117,
0.044758036732673645,
-0.029577793553471565,
0.013405494391918182,
-0.029117507860064507,
0.06849323213100433,
0.06134914234280586,
-0.00664459029212594,
0.08159272372722626,
0.07458911091089249,
-0.0544593445956707,
0.03703590855002403,
0.03504028543829918,
0.013434202410280704,
0.003835295792669058,
0.009706555865705013,
-0.04348970204591751,
0.07215560227632523,
-0.06356077641248703,
0.026450181379914284,
0.05342891439795494,
0.10873124748468399,
-0.054884832352399826,
0.08858898282051086,
-0.05034894496202469,
0.01855006255209446,
-0.044822949916124344,
-0.048921458423137665,
-0.0016414076089859009,
-0.07509468495845795,
-0.10783134400844574,
-0.044791366904973984,
0.04419244825839996,
0.05602048337459564,
0.015035826712846756,
0.01946871541440487
] | null | null | null | null | null | null | null | [
-0.1113257184624672,
-0.06971133500337601,
0.052508991211652756,
0.057831428945064545,
0.02484956569969654,
-0.024368006736040115,
-0.009009226225316525,
-0.04290982708334923,
0.03943074122071266,
0.06816067546606064,
0.005931816063821316,
0.0027428881730884314,
-0.1002935841679573,
0.041954588145017624,
0.024400854483246803,
-0.048771973699331284,
0.06198158115148544,
0.040525756776332855,
-0.03706595301628113,
0.027446839958429337,
-0.08672188967466354,
0.06986147910356522,
0.021002797409892082,
-0.021525803953409195,
0.06551625579595566,
-0.03977549076080322,
0.018864549696445465,
0.009019729681313038,
0.02188672125339508,
-0.03776928782463074,
0.05785044655203819,
0.003318427363410592,
-0.05150913819670677,
-0.07247811555862427,
-0.005301394499838352,
-0.014915662817656994,
-0.043660517781972885,
-0.019806494936347008,
0.02453448623418808,
-0.019960366189479828,
-0.00364176114089787,
0.05186424031853676,
-0.07776430249214172,
-0.0022439821623265743,
0.0010606753639876842,
-0.08770342171192169,
-0.036879390478134155,
-0.032615240663290024,
0.04535611346364021,
0.0516868494451046,
0.0910823717713356,
0.06370773166418076,
-0.1008245125412941,
-0.03556336089968681,
0.0006924983463250101,
-0.06486483663320541,
0.017442168667912483,
-0.02915988117456436,
0.036150265485048294,
0.0416058786213398,
0.004914024379104376,
0.010311184450984001,
-0.03318329155445099,
-0.034488171339035034,
-0.007123176008462906,
-0.043967992067337036,
0.04757416620850563,
-0.051481377333402634,
0.028714599087834358,
0.08472662419080734,
-0.04538004472851753,
0.00754195312038064,
-0.016526594758033752,
-0.0017381219659000635,
0.007523953448981047,
-0.0954248458147049,
0.04022764042019844,
0.02442733570933342,
-0.011719172820448875,
-0.04577196389436722,
0.01885773241519928,
0.008060317486524582,
0.049928344786167145,
-0.1104043573141098,
-0.038948506116867065,
0.07298579066991806,
0.003508165944367647,
0.0327783077955246,
0.04599258676171303,
-0.04582254961133003,
0.056146617978811264,
0.04059169441461563,
-0.017581962049007416,
-0.14375658333301544,
0.1326509714126587,
-0.045686934143304825,
0.017786800861358643,
0.035919297486543655,
0.04577619954943657,
0.02888745442032814,
-0.009763746522367,
-0.03011169098317623,
0.008408290334045887,
-0.006028555799275637,
-0.010286697186529636,
-0.04395926371216774,
-0.021959323436021805,
0.026032235473394394,
0.02408081665635109,
0.051139283925294876,
-0.04283063858747482,
-0.027674736455082893,
-0.03367859497666359,
0.03391361981630325,
-0.012698919512331486,
-0.11511214822530746,
0.052360307425260544,
-0.0559455044567585,
0.06809884309768677,
-0.06407275795936584,
0.014215901494026184,
-0.07728565484285355,
-0.012841121293604374,
0.061780303716659546,
0.02794913947582245,
-0.0031550489366054535,
0.049883246421813965,
1.5740946128702882e-34,
0.041680172085762024,
-0.04203801974654198,
-0.019703153520822525,
0.017120765522122383,
0.06374246627092361,
0.012515228241682053,
0.023250805214047432,
-0.005108552053570747,
-0.07088033854961395,
0.0022616845089942217,
-0.05810413509607315,
0.024778764694929123,
-0.04983555153012276,
-0.1248881071805954,
0.0069636395201087,
-0.02450861781835556,
-0.011450638063251972,
-0.018865199759602547,
0.05813194811344147,
-0.009349413216114044,
0.14268353581428528,
0.02089022286236286,
0.01967478357255459,
0.06950931251049042,
0.011635243892669678,
-0.01781814731657505,
0.022065190598368645,
0.031243104487657547,
0.011666513979434967,
0.017025262117385864,
-0.07792435586452484,
-0.020563535392284393,
-0.025497302412986755,
-0.07599952816963196,
0.03440804034471512,
0.05572117865085602,
-0.052870552986860275,
0.029608871787786484,
-0.020314093679189682,
-0.0042231446132063866,
-0.0652756616473198,
0.009210361167788506,
-0.07051752507686615,
0.0044970703311264515,
-0.0773632675409317,
0.008463388308882713,
0.03822942078113556,
0.01738707907497883,
0.013386372476816177,
-0.0951513797044754,
-0.07898813486099243,
-0.01871553435921669,
0.011779009364545345,
-0.01338256150484085,
0.015078887343406677,
-0.0030800525564700365,
0.12029778212308884,
-0.045578233897686005,
-0.03858521953225136,
-0.0032601591665297747,
0.04231926053762436,
0.03263202682137489,
0.054180458188056946,
0.03498345613479614,
0.06119224801659584,
-0.08663910627365112,
-0.05150163546204567,
0.084447480738163,
-0.031093589961528778,
0.0017022363608703017,
0.042115967720746994,
0.06188355013728142,
0.05293435603380203,
-0.017836814746260643,
0.011074046604335308,
-0.06410045176744461,
0.05079306289553642,
0.026559721678495407,
-0.05799625441431999,
-0.041980188339948654,
-0.02107275277376175,
-0.05593948811292648,
-0.012741600163280964,
0.04032183066010475,
-0.014079000800848007,
-0.04840482026338577,
-0.04802558571100235,
-0.013077862560749054,
-0.024792926385998726,
-0.08961956948041916,
-0.06784939765930176,
-0.041376516222953796,
0.08495958894491196,
-0.0036410135217010975,
-0.005983355455100536,
-2.6123198302735858e-33,
0.008665497414767742,
0.037803519517183304,
0.03905942663550377,
0.06860409677028656,
-0.06339059770107269,
-0.03377540782094002,
0.00566131342202425,
0.03535529226064682,
0.12197073549032211,
-0.018118277192115784,
-0.05796100199222565,
0.050932157784700394,
-0.026911020278930664,
-0.005114237777888775,
0.05201328173279762,
-0.09712719172239304,
-0.007651739753782749,
0.06871812790632248,
-0.03521592542529106,
0.06299284100532532,
-0.039666153490543365,
0.012969938106834888,
0.03045436553657055,
-0.02026367001235485,
-0.04056696966290474,
-0.00977069977670908,
-0.025414414703845978,
0.06436533480882645,
-0.09047703444957733,
0.01668640784919262,
-0.05169910192489624,
-0.06269549578428268,
0.01888265833258629,
-0.014796916395425797,
-0.07134612649679184,
-0.001816022559069097,
0.010326063260436058,
0.1009972095489502,
-0.010318775661289692,
-0.0034298195969313383,
0.04411786422133446,
0.00657451618462801,
0.012649142183363438,
-0.025046302005648613,
0.05715307593345642,
-0.011331637389957905,
0.012494281865656376,
0.03454884514212608,
-0.05243414267897606,
0.022814074531197548,
0.024153295904397964,
0.024241410195827484,
-0.03153107687830925,
0.07550635933876038,
-0.07952830940485,
0.09848500788211823,
0.008900613524019718,
-0.01993480883538723,
0.04342387244105339,
0.04948044940829277,
-0.03889251872897148,
0.00674847885966301,
0.13001304864883423,
0.017335183918476105,
-0.06696511059999466,
0.008022665977478027,
-0.039058271795511246,
0.03583572432398796,
0.019774647429585457,
-0.04426679015159607,
-0.0801069512963295,
-0.06240161135792732,
0.056574251502752304,
0.130946084856987,
0.03579016774892807,
-0.08007098734378815,
0.07206013053655624,
0.0804886743426323,
0.06826574355363846,
0.013526552356779575,
0.06397382915019989,
0.022796902805566788,
-0.008094451390206814,
-0.09657034277915955,
-0.0043707857839763165,
0.009868824854493141,
0.04564928635954857,
0.038323774933815,
0.09032970666885376,
-0.08962756395339966,
0.07216347008943558,
0.013200498186051846,
0.0836009606719017,
0.021750569343566895,
0.040629707276821136,
-4.143372933640421e-8,
0.017875872552394867,
-0.018942957744002342,
-0.03905152156949043,
-0.05419837310910225,
0.06518173962831497,
-0.001355398097075522,
-0.010651819407939911,
-0.06455501168966293,
0.041021957993507385,
-0.07983636111021042,
0.00764725636690855,
0.028300127014517784,
-0.02071409299969673,
-0.11494113504886627,
0.0012538001174107194,
0.06712638586759567,
0.03530057892203331,
-0.06338349729776382,
0.0011899855453521013,
-0.03875210881233215,
-0.056421831250190735,
0.003392685204744339,
0.10563361644744873,
-0.05886412784457207,
0.03245000168681145,
0.02375398762524128,
-0.15933285653591156,
0.024053236469626427,
-0.014576582238078117,
0.044758036732673645,
-0.029577793553471565,
0.013405494391918182,
-0.029117507860064507,
0.06849323213100433,
0.06134914234280586,
-0.00664459029212594,
0.08159272372722626,
0.07458911091089249,
-0.0544593445956707,
0.03703590855002403,
0.03504028543829918,
0.013434202410280704,
0.003835295792669058,
0.009706555865705013,
-0.04348970204591751,
0.07215560227632523,
-0.06356077641248703,
0.026450181379914284,
0.05342891439795494,
0.10873124748468399,
-0.054884832352399826,
0.08858898282051086,
-0.05034894496202469,
0.01855006255209446,
-0.044822949916124344,
-0.048921458423137665,
-0.0016414076089859009,
-0.07509468495845795,
-0.10783134400844574,
-0.044791366904973984,
0.04419244825839996,
0.05602048337459564,
0.015035826712846756,
0.01946871541440487
] |
1401.0655 | Robert Gilles | Owen Sims and Robert P. Gilles | Critical Nodes In Directed Networks | 28 pages, 6 figures, 2 tables | null | null | null | cs.SI physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Critical nodes or "middlemen" have an essential place in both social and
economic networks when considering the flow of information and trade. This
paper extends the concept of critical nodes to directed networks. We identify
strong and weak middlemen. Node contestability is introduced as a form of
competition in networks; a duality between uncontested intermediaries and
middlemen is established. The brokerage power of middlemen is formally
expressed and a general algorithm is constructed to measure the brokerage power
of each node from the networks adjacency matrix. Augmentations of the brokerage
power measure are discussed to encapsulate relevant centrality measures. We use
these concepts to identify and measure middlemen in two empirical
socio-economic networks, the elite marriage network of Renaissance Florence and
Krackhardt's advice network.
| [
{
"created": "Fri, 3 Jan 2014 15:16:31 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Feb 2014 16:03:36 GMT",
"version": "v2"
}
] | 2014-02-04 | [
[
"Sims",
"Owen",
""
],
[
"Gilles",
"Robert P.",
""
]
] | [
0.04120835289359093,
-0.07204568386077881,
-0.08400433510541916,
-0.05258738622069359,
0.05218628793954849,
0.019551919773221016,
0.023288555443286896,
0.03338925912976265,
-0.013648565858602524,
0.04273703694343567,
-0.03370155021548271,
-0.030903419479727745,
0.08059491217136383,
0.02147061750292778,
-0.05513353645801544,
0.017511596903204918,
0.013182350434362888,
-0.015645137056708336,
-0.0065284669399261475,
-0.06280580163002014,
-0.012004567310214043,
-0.03600085526704788,
-0.06795932352542877,
-0.048791877925395966,
0.01223310548812151,
-0.04382463917136192,
-0.043997786939144135,
-0.018755387514829636,
-0.021076081320643425,
0.04220594838261604,
-0.03939400613307953,
0.041378047317266464,
0.011115767993032932,
0.0984610989689827,
-0.0848195031285286,
0.002365099499002099,
0.019708367064595222,
0.028099019080400467,
0.0462263859808445,
0.0019064341904595494,
0.10482488572597504,
0.035478625446558,
-0.011340565048158169,
-0.038979727774858475,
-0.025016825646162033,
0.07096122950315475,
-0.018629198893904686,
0.05027903988957405,
-0.08154676854610443,
-0.0028425732161849737,
-0.11557502299547195,
-0.058570194989442825,
-0.02976943552494049,
0.009401117451488972,
0.051349833607673645,
0.018136246129870415,
0.0045573036186397076,
-0.04060830920934677,
-0.01863345131278038,
0.06015484780073166,
0.06615839898586273,
-0.06429240107536316,
-0.057936202734708786,
-0.01203030813485384,
0.1281527280807495,
0.01871330291032791,
-0.02481146715581417,
0.10253266990184784,
-0.10912466049194336,
0.0374443456530571,
0.11580546945333481,
-0.0631127581000328,
-0.10870998352766037,
-0.013532248325645924,
0.04427210986614227,
-0.019196096807718277,
-0.01637149043381214,
-0.001733929617330432,
-0.09399197995662689,
-0.013443118892610073,
-0.06596128642559052,
0.02523834817111492,
-0.04827771708369255,
0.03875557333230972,
-0.05509600415825844,
0.01789618842303753,
-0.0022998610511422157,
-0.022192301228642464,
0.02362159825861454,
0.01854817569255829,
-0.10023819655179977,
0.05139939486980438,
-0.0057290224358439445,
-0.029475031420588493,
0.06674854457378387,
0.058917392045259476,
0.016022183001041412,
-0.027198415249586105,
-0.018868613988161087,
0.06788790971040726,
-0.023275313898921013,
-0.06311209499835968,
-0.015512135811150074,
-0.1044526919722557,
-0.006256471388041973,
0.00847628340125084,
0.011737149208784103,
-0.0038795711006969213,
0.043794211000204086,
0.0495925098657608,
-0.10304029285907745,
0.025707250460982323,
-0.03023522160947323,
-0.07496781647205353,
-0.03133401274681091,
-0.037046030163764954,
0.06170519441366196,
0.08668650686740875,
0.0501401349902153,
0.03617756441235542,
-0.009314287453889847,
0.04123857244849205,
0.008496534079313278,
-0.10563962161540985,
0.03358127549290657,
0.03321905806660652,
-0.006349673494696617,
3.302373585114655e-33,
-0.045185454189777374,
-0.04946161061525345,
0.02058989182114601,
0.07946259528398514,
-0.06566682457923889,
0.042661990970373154,
-0.07753364741802216,
-0.074507936835289,
-0.052314430475234985,
-0.06684879213571548,
-0.061801474541425705,
0.10983967036008835,
-0.008829619735479355,
-0.014821857213973999,
0.06266271322965622,
-0.013102352619171143,
0.026245608925819397,
-0.04799027740955353,
0.0688796192407608,
-0.11441180109977722,
0.06169624999165535,
-0.023260215297341347,
-0.03986893594264984,
-0.013261056505143642,
0.0004739783762488514,
-0.07694890350103378,
-0.03377646580338478,
-0.025770705193281174,
0.07699012011289597,
-0.00656651146709919,
0.024075979366898537,
0.06359460204839706,
0.030045120045542717,
0.06731829047203064,
-0.10457725077867508,
0.11161282658576965,
-0.015596973709762096,
-0.04462524875998497,
0.020281706005334854,
-0.03523595258593559,
-0.07800189405679703,
0.026678649708628654,
0.004686447326093912,
0.03425491601228714,
-0.012200349010527134,
0.029605990275740623,
-0.01220900658518076,
-0.04368933290243149,
0.0462297722697258,
-0.010497123934328556,
0.0034867485519498587,
-0.024567537009716034,
0.13806915283203125,
-0.018707867711782455,
-0.05143199861049652,
0.02063331939280033,
0.038570426404476166,
0.04071619734168053,
-0.018458176404237747,
0.055985353887081146,
-0.006818614434450865,
-0.0510980449616909,
0.06417674571275711,
0.03855090215802193,
0.035250455141067505,
0.07760265469551086,
-0.09502474963665009,
-0.01784495636820793,
0.11064991354942322,
-0.01566755399107933,
-0.007981622591614723,
0.05470241233706474,
-0.017112012952566147,
0.009965633973479271,
-0.01819104142487049,
0.01969393901526928,
-0.10769394040107727,
0.016875645145773888,
-0.023802779614925385,
0.039607420563697815,
-0.05686397850513458,
-0.024499380961060524,
0.06679945439100266,
0.05695943161845207,
0.03178538754582405,
-0.018568767234683037,
-0.014363226480782032,
0.04095906764268875,
0.07923498749732971,
0.02865394577383995,
-0.05095208063721657,
0.013963785953819752,
0.020885687321424484,
0.0972103625535965,
0.039114054292440414,
-3.586115880884077e-33,
-0.13358847796916962,
0.004687986336648464,
-0.0060416776686906815,
0.1590067744255066,
0.07639816403388977,
-0.026893164962530136,
-0.04799322038888931,
-0.10901877284049988,
0.0019168048165738583,
0.09148479253053665,
-0.0333869606256485,
-0.0861377939581871,
0.08728482574224472,
-0.0263429693877697,
0.01589493826031685,
-0.06457832455635071,
0.03717249631881714,
-0.027466876432299614,
0.03350747749209404,
-0.05430685728788376,
0.07791563123464584,
-0.003235144540667534,
-0.041857872158288956,
-0.0003141618799418211,
0.08983387798070908,
0.008123925887048244,
-0.011085246689617634,
-0.013049246743321419,
-0.03987080231308937,
0.017019331455230713,
-0.004595149774104357,
-0.05373968183994293,
-0.009786742739379406,
0.044213201850652695,
-0.004074373282492161,
0.07634611427783966,
-0.035903528332710266,
0.014212137088179588,
-0.02940446138381958,
0.004126203712075949,
-0.017190484330058098,
0.033786941319704056,
-0.04595499485731125,
0.01595180295407772,
-0.04544471204280853,
0.07204444706439972,
0.05954715982079506,
-0.017905646935105324,
0.015427316538989544,
-0.034681133925914764,
0.013554834760725498,
0.09656678140163422,
0.04552644118666649,
-0.025540580973029137,
-0.03608136624097824,
0.004718287847936153,
0.033059220761060715,
0.06777520477771759,
0.07708170264959335,
0.01992478035390377,
-0.00008797371992841363,
0.0020337726455181837,
-0.06535155326128006,
0.0940839871764183,
-0.0009876411641016603,
-0.01621527038514614,
0.042837318032979965,
-0.06278708577156067,
-0.03528696298599243,
-0.0020981132984161377,
0.061576128005981445,
0.01918518915772438,
-0.03624315187335014,
-0.06334195286035538,
0.015232650563120842,
0.07729371637105942,
0.030929867178201675,
0.08203683793544769,
-0.029646500945091248,
0.011564957909286022,
-0.02343888394534588,
0.03295230492949486,
0.048340559005737305,
-0.026576416566967964,
0.06003129854798317,
0.013842829503118992,
0.017597373574972153,
-0.005591155495494604,
0.05134693160653114,
-0.004171245731413364,
-0.04591828212141991,
-0.05477038398385048,
-0.04333353042602539,
-0.09455160796642303,
-0.06119397282600403,
-4.0680649959767834e-8,
-0.07875897735357285,
-0.04257999360561371,
-0.012149803340435028,
0.059597600251436234,
0.017508260905742645,
-0.00442013842985034,
0.08778694272041321,
0.04683012515306473,
-0.004825037904083729,
0.10835865139961243,
0.007487802300602198,
-0.02027161233127117,
-0.022983530536293983,
-0.022378502413630486,
0.017398864030838013,
-0.036635443568229675,
0.04073057696223259,
-0.03052014485001564,
-0.02100776508450508,
-0.00573896337300539,
0.019540566951036453,
-0.039456259459257126,
-0.045129552483558655,
0.042295921593904495,
-0.016047533601522446,
-0.008525812067091465,
-0.006001306232064962,
0.02909007854759693,
-0.006577767431735992,
0.06719090789556503,
-0.040595099329948425,
-0.05706119164824486,
0.024458423256874084,
-0.019941842183470726,
-0.09547193348407745,
0.13888798654079437,
-0.04623866453766823,
0.09779541939496994,
-0.06797338277101517,
0.01969090849161148,
-0.023623069748282433,
-0.027971401810646057,
0.01248973049223423,
0.0013649171451106668,
-0.012924485839903355,
0.01797046698629856,
-0.027150999754667282,
0.016731420531868935,
0.07311466336250305,
-0.1127869263291359,
0.012712515890598297,
-0.08247171342372894,
0.053301356732845306,
-0.04682275652885437,
0.02410040609538555,
-0.05125270411372185,
0.04483354464173317,
0.020849520340561867,
-0.0014310483820736408,
0.0016252389177680016,
0.005681798327714205,
0.005239296704530716,
-0.010455207899212837,
-0.0029072253964841366
] | null | null | null | null | null | null | null | [
0.04120835289359093,
-0.07204568386077881,
-0.08400433510541916,
-0.05258738622069359,
0.05218628793954849,
0.019551919773221016,
0.023288555443286896,
0.03338925912976265,
-0.013648565858602524,
0.04273703694343567,
-0.03370155021548271,
-0.030903419479727745,
0.08059491217136383,
0.02147061750292778,
-0.05513353645801544,
0.017511596903204918,
0.013182350434362888,
-0.015645137056708336,
-0.0065284669399261475,
-0.06280580163002014,
-0.012004567310214043,
-0.03600085526704788,
-0.06795932352542877,
-0.048791877925395966,
0.01223310548812151,
-0.04382463917136192,
-0.043997786939144135,
-0.018755387514829636,
-0.021076081320643425,
0.04220594838261604,
-0.03939400613307953,
0.041378047317266464,
0.011115767993032932,
0.0984610989689827,
-0.0848195031285286,
0.002365099499002099,
0.019708367064595222,
0.028099019080400467,
0.0462263859808445,
0.0019064341904595494,
0.10482488572597504,
0.035478625446558,
-0.011340565048158169,
-0.038979727774858475,
-0.025016825646162033,
0.07096122950315475,
-0.018629198893904686,
0.05027903988957405,
-0.08154676854610443,
-0.0028425732161849737,
-0.11557502299547195,
-0.058570194989442825,
-0.02976943552494049,
0.009401117451488972,
0.051349833607673645,
0.018136246129870415,
0.0045573036186397076,
-0.04060830920934677,
-0.01863345131278038,
0.06015484780073166,
0.06615839898586273,
-0.06429240107536316,
-0.057936202734708786,
-0.01203030813485384,
0.1281527280807495,
0.01871330291032791,
-0.02481146715581417,
0.10253266990184784,
-0.10912466049194336,
0.0374443456530571,
0.11580546945333481,
-0.0631127581000328,
-0.10870998352766037,
-0.013532248325645924,
0.04427210986614227,
-0.019196096807718277,
-0.01637149043381214,
-0.001733929617330432,
-0.09399197995662689,
-0.013443118892610073,
-0.06596128642559052,
0.02523834817111492,
-0.04827771708369255,
0.03875557333230972,
-0.05509600415825844,
0.01789618842303753,
-0.0022998610511422157,
-0.022192301228642464,
0.02362159825861454,
0.01854817569255829,
-0.10023819655179977,
0.05139939486980438,
-0.0057290224358439445,
-0.029475031420588493,
0.06674854457378387,
0.058917392045259476,
0.016022183001041412,
-0.027198415249586105,
-0.018868613988161087,
0.06788790971040726,
-0.023275313898921013,
-0.06311209499835968,
-0.015512135811150074,
-0.1044526919722557,
-0.006256471388041973,
0.00847628340125084,
0.011737149208784103,
-0.0038795711006969213,
0.043794211000204086,
0.0495925098657608,
-0.10304029285907745,
0.025707250460982323,
-0.03023522160947323,
-0.07496781647205353,
-0.03133401274681091,
-0.037046030163764954,
0.06170519441366196,
0.08668650686740875,
0.0501401349902153,
0.03617756441235542,
-0.009314287453889847,
0.04123857244849205,
0.008496534079313278,
-0.10563962161540985,
0.03358127549290657,
0.03321905806660652,
-0.006349673494696617,
3.302373585114655e-33,
-0.045185454189777374,
-0.04946161061525345,
0.02058989182114601,
0.07946259528398514,
-0.06566682457923889,
0.042661990970373154,
-0.07753364741802216,
-0.074507936835289,
-0.052314430475234985,
-0.06684879213571548,
-0.061801474541425705,
0.10983967036008835,
-0.008829619735479355,
-0.014821857213973999,
0.06266271322965622,
-0.013102352619171143,
0.026245608925819397,
-0.04799027740955353,
0.0688796192407608,
-0.11441180109977722,
0.06169624999165535,
-0.023260215297341347,
-0.03986893594264984,
-0.013261056505143642,
0.0004739783762488514,
-0.07694890350103378,
-0.03377646580338478,
-0.025770705193281174,
0.07699012011289597,
-0.00656651146709919,
0.024075979366898537,
0.06359460204839706,
0.030045120045542717,
0.06731829047203064,
-0.10457725077867508,
0.11161282658576965,
-0.015596973709762096,
-0.04462524875998497,
0.020281706005334854,
-0.03523595258593559,
-0.07800189405679703,
0.026678649708628654,
0.004686447326093912,
0.03425491601228714,
-0.012200349010527134,
0.029605990275740623,
-0.01220900658518076,
-0.04368933290243149,
0.0462297722697258,
-0.010497123934328556,
0.0034867485519498587,
-0.024567537009716034,
0.13806915283203125,
-0.018707867711782455,
-0.05143199861049652,
0.02063331939280033,
0.038570426404476166,
0.04071619734168053,
-0.018458176404237747,
0.055985353887081146,
-0.006818614434450865,
-0.0510980449616909,
0.06417674571275711,
0.03855090215802193,
0.035250455141067505,
0.07760265469551086,
-0.09502474963665009,
-0.01784495636820793,
0.11064991354942322,
-0.01566755399107933,
-0.007981622591614723,
0.05470241233706474,
-0.017112012952566147,
0.009965633973479271,
-0.01819104142487049,
0.01969393901526928,
-0.10769394040107727,
0.016875645145773888,
-0.023802779614925385,
0.039607420563697815,
-0.05686397850513458,
-0.024499380961060524,
0.06679945439100266,
0.05695943161845207,
0.03178538754582405,
-0.018568767234683037,
-0.014363226480782032,
0.04095906764268875,
0.07923498749732971,
0.02865394577383995,
-0.05095208063721657,
0.013963785953819752,
0.020885687321424484,
0.0972103625535965,
0.039114054292440414,
-3.586115880884077e-33,
-0.13358847796916962,
0.004687986336648464,
-0.0060416776686906815,
0.1590067744255066,
0.07639816403388977,
-0.026893164962530136,
-0.04799322038888931,
-0.10901877284049988,
0.0019168048165738583,
0.09148479253053665,
-0.0333869606256485,
-0.0861377939581871,
0.08728482574224472,
-0.0263429693877697,
0.01589493826031685,
-0.06457832455635071,
0.03717249631881714,
-0.027466876432299614,
0.03350747749209404,
-0.05430685728788376,
0.07791563123464584,
-0.003235144540667534,
-0.041857872158288956,
-0.0003141618799418211,
0.08983387798070908,
0.008123925887048244,
-0.011085246689617634,
-0.013049246743321419,
-0.03987080231308937,
0.017019331455230713,
-0.004595149774104357,
-0.05373968183994293,
-0.009786742739379406,
0.044213201850652695,
-0.004074373282492161,
0.07634611427783966,
-0.035903528332710266,
0.014212137088179588,
-0.02940446138381958,
0.004126203712075949,
-0.017190484330058098,
0.033786941319704056,
-0.04595499485731125,
0.01595180295407772,
-0.04544471204280853,
0.07204444706439972,
0.05954715982079506,
-0.017905646935105324,
0.015427316538989544,
-0.034681133925914764,
0.013554834760725498,
0.09656678140163422,
0.04552644118666649,
-0.025540580973029137,
-0.03608136624097824,
0.004718287847936153,
0.033059220761060715,
0.06777520477771759,
0.07708170264959335,
0.01992478035390377,
-0.00008797371992841363,
0.0020337726455181837,
-0.06535155326128006,
0.0940839871764183,
-0.0009876411641016603,
-0.01621527038514614,
0.042837318032979965,
-0.06278708577156067,
-0.03528696298599243,
-0.0020981132984161377,
0.061576128005981445,
0.01918518915772438,
-0.03624315187335014,
-0.06334195286035538,
0.015232650563120842,
0.07729371637105942,
0.030929867178201675,
0.08203683793544769,
-0.029646500945091248,
0.011564957909286022,
-0.02343888394534588,
0.03295230492949486,
0.048340559005737305,
-0.026576416566967964,
0.06003129854798317,
0.013842829503118992,
0.017597373574972153,
-0.005591155495494604,
0.05134693160653114,
-0.004171245731413364,
-0.04591828212141991,
-0.05477038398385048,
-0.04333353042602539,
-0.09455160796642303,
-0.06119397282600403,
-4.0680649959767834e-8,
-0.07875897735357285,
-0.04257999360561371,
-0.012149803340435028,
0.059597600251436234,
0.017508260905742645,
-0.00442013842985034,
0.08778694272041321,
0.04683012515306473,
-0.004825037904083729,
0.10835865139961243,
0.007487802300602198,
-0.02027161233127117,
-0.022983530536293983,
-0.022378502413630486,
0.017398864030838013,
-0.036635443568229675,
0.04073057696223259,
-0.03052014485001564,
-0.02100776508450508,
-0.00573896337300539,
0.019540566951036453,
-0.039456259459257126,
-0.045129552483558655,
0.042295921593904495,
-0.016047533601522446,
-0.008525812067091465,
-0.006001306232064962,
0.02909007854759693,
-0.006577767431735992,
0.06719090789556503,
-0.040595099329948425,
-0.05706119164824486,
0.024458423256874084,
-0.019941842183470726,
-0.09547193348407745,
0.13888798654079437,
-0.04623866453766823,
0.09779541939496994,
-0.06797338277101517,
0.01969090849161148,
-0.023623069748282433,
-0.027971401810646057,
0.01248973049223423,
0.0013649171451106668,
-0.012924485839903355,
0.01797046698629856,
-0.027150999754667282,
0.016731420531868935,
0.07311466336250305,
-0.1127869263291359,
0.012712515890598297,
-0.08247171342372894,
0.053301356732845306,
-0.04682275652885437,
0.02410040609538555,
-0.05125270411372185,
0.04483354464173317,
0.020849520340561867,
-0.0014310483820736408,
0.0016252389177680016,
0.005681798327714205,
0.005239296704530716,
-0.010455207899212837,
-0.0029072253964841366
] |
1401.0657 | Ricard Menchon-Enrich | Ricard Menchon-Enrich, Suzanne McEndoo, Jordi Mompart, Veronica
Ahufinger, Thomas Busch | Tunneling-induced angular momentum for single cold atoms | 6 pages, 5 figures | Phys. Rev. A 89, 013626 (2014) | 10.1103/PhysRevA.89.013626 | null | quant-ph cond-mat.quant-gas physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the generation of angular momentum carrying states for a single cold
particle by breaking the symmetry of a spatial adiabatic passage process in a
two-dimensional system consisting of three harmonic potential wells. By
following a superposition of two eigenstates of the system, a single cold
particle is completely transferred to the degenerate first excited states of
the final trap, which are resonantly coupled via tunneling to the ground states
of the initial and middle traps. Depending on the total time of the process,
angular momentum is generated in the final trap, with values that oscillate
between $\pm\hbar$. This process is discussed in terms of the asymptotic
eigenstates of the individual wells and the results have been checked by
simulations of the full two-dimensional Schr\"odinger equation.
| [
{
"created": "Fri, 3 Jan 2014 15:26:45 GMT",
"version": "v1"
}
] | 2014-04-02 | [
[
"Menchon-Enrich",
"Ricard",
""
],
[
"McEndoo",
"Suzanne",
""
],
[
"Mompart",
"Jordi",
""
],
[
"Ahufinger",
"Veronica",
""
],
[
"Busch",
"Thomas",
""
]
] | [
-0.044830210506916046,
0.019046690315008163,
0.0541420578956604,
0.04714063182473183,
-0.03939366340637207,
0.0031243441626429558,
-0.07056493312120438,
-0.041232943534851074,
0.06067903712391853,
0.012205574661493301,
-0.07630885392427444,
-0.030913488939404488,
-0.03971411660313606,
-0.10852492600679398,
0.16682913899421692,
0.003836649237200618,
-0.09444436430931091,
-0.05460382252931595,
-0.0076551372185349464,
0.005544750485569239,
0.07290668040513992,
-0.05692991614341736,
-0.025193138048052788,
-0.04057162627577782,
0.04378252103924751,
-0.005943748168647289,
0.05067672207951546,
-0.028705518692731857,
0.058263808488845825,
0.005844750441610813,
0.047369785606861115,
-0.0537685863673687,
-0.1352238953113556,
-0.02077574096620083,
-0.02259470522403717,
0.025687601417303085,
0.0373876579105854,
0.07234470546245575,
-0.02151677943766117,
-0.023358769714832306,
0.13114291429519653,
0.0911572277545929,
0.00859944336116314,
-0.009711670689284801,
0.00046064823982305825,
0.027171190828084946,
-0.025945307686924934,
0.02141203172504902,
-0.019260546192526817,
-0.06306765973567963,
-0.014993278309702873,
0.0478447750210762,
-0.01796669326722622,
0.10961984843015671,
-0.05170246958732605,
-0.003487922716885805,
0.09322481602430344,
-0.026413260027766228,
-0.040240153670310974,
-0.08681567013263702,
-0.040000997483730316,
0.004333454184234142,
-0.0246219914406538,
-0.013823075219988823,
0.08156874775886536,
-0.09362821280956268,
-0.026734329760074615,
-0.008691847324371338,
0.04951464384794235,
0.04942330718040466,
-0.04281921684741974,
-0.04243140295147896,
-0.052812039852142334,
-0.04744812101125717,
0.04639311507344246,
-0.03550032526254654,
-0.12427232414484024,
0.020354250445961952,
-0.0463920459151268,
0.030223635956645012,
0.05128152668476105,
-0.039303045719861984,
-0.029816390946507454,
-0.09559650719165802,
-0.06979285180568695,
0.031695276498794556,
-0.023195547983050346,
-0.08253882080316544,
0.02454204671084881,
-0.0900353491306305,
-0.06356343626976013,
-0.06625009328126907,
-0.013487507589161396,
-0.05808119475841522,
0.07270602881908417,
0.024131033569574356,
0.027888964861631393,
0.06891963630914688,
0.018250923603773117,
-0.028674310073256493,
0.022319631651043892,
-0.0320480577647686,
0.047923024743795395,
0.04811359569430351,
0.01069166325032711,
0.05239992216229439,
0.03520877659320831,
-0.0028449713718146086,
0.0055922954343259335,
0.0363982655107975,
0.040885139256715775,
-0.055736809968948364,
0.04805774986743927,
0.04021299630403519,
-0.041173335164785385,
0.05616355687379837,
-0.06398653239011765,
0.021680517122149467,
0.005028776824474335,
0.012779333628714085,
-0.01317614782601595,
0.049291372299194336,
-0.012278474867343903,
-0.04854978621006012,
-0.025639358907938004,
-0.04272284731268883,
-0.05181071534752846,
1.0800992189977164e-33,
0.014525722712278366,
-0.030033189803361893,
-0.041150011122226715,
0.009524992667138577,
0.035802628844976425,
-0.06930599361658096,
0.052889298647642136,
0.014491434209048748,
-0.03499286249279976,
0.07310567051172256,
0.03628323972225189,
-0.05076911672949791,
-0.002828828990459442,
-0.018577463924884796,
-0.015792857855558395,
-0.024125613272190094,
-0.020333582535386086,
-0.022529734298586845,
0.0378878079354763,
0.10901889950037003,
0.09553215652704239,
0.020756591111421585,
-0.009251692332327366,
0.051551926881074905,
-0.041019752621650696,
-0.029260296374559402,
-0.02401810698211193,
-0.02477879822254181,
-0.07620076835155487,
0.016984058544039726,
0.09297304600477219,
0.042309507727622986,
-0.13331276178359985,
0.029632868245244026,
0.10492358356714249,
-0.044461529701948166,
0.008808884769678116,
0.04258136823773384,
0.028742590919137,
-0.07467534393072128,
-0.05783035233616829,
-0.09286252409219742,
-0.012205269187688828,
0.05209879204630852,
-0.058739643543958664,
0.021152181550860405,
0.005914639215916395,
-0.047730352729558945,
0.02738424949347973,
-0.004901209846138954,
0.028190676122903824,
-0.021846331655979156,
-0.03349371999502182,
0.11721896380186081,
0.05347380042076111,
-0.06067214533686638,
0.04879186674952507,
-0.054262395948171616,
0.004461819771677256,
0.0028452668339014053,
0.017084352672100067,
0.03167366981506348,
0.034699272364377975,
-0.011081097647547722,
0.019047223031520844,
-0.02823088876903057,
0.0042616925202310085,
0.04430501163005829,
0.08745614439249039,
0.007876059971749783,
0.06206579506397247,
0.043654538691043854,
0.05089243873953819,
-0.02329997532069683,
0.0552731417119503,
-0.021997062489390373,
0.05588986352086067,
-0.010602978058159351,
0.022388260811567307,
0.06515299528837204,
0.027287093922495842,
-0.0737476795911789,
-0.04073204845190048,
0.1010737270116806,
-0.010963535867631435,
-0.09111212193965912,
-0.0449032261967659,
-0.10035932809114456,
-0.07717689871788025,
0.028273841366171837,
-0.04556768387556076,
-0.045272305607795715,
-0.024328358471393585,
0.009774002246558666,
-0.06735655665397644,
-4.4758945747954995e-33,
0.02624732255935669,
0.0019920519553124905,
0.050601501017808914,
0.004464751109480858,
-0.03795464336872101,
0.08540314435958862,
0.042114730924367905,
0.083547443151474,
-0.01354140229523182,
0.011204770766198635,
0.01716717518866062,
0.09799113869667053,
0.04799657315015793,
0.07197967916727066,
0.04934177175164223,
-0.04613211378455162,
0.1162135899066925,
-0.02607451006770134,
0.04985456168651581,
0.02118232101202011,
-0.0099449148401618,
-0.012103475630283356,
-0.02902226522564888,
-0.028986018151044846,
0.051818616688251495,
0.011799103580415249,
0.07241519540548325,
-0.029779961332678795,
-0.03922736644744873,
0.023395061492919922,
-0.02386169694364071,
0.028473254293203354,
-0.006491946987807751,
-0.010565844364464283,
-0.1270311176776886,
0.019035417586565018,
0.016384262591600418,
0.00795355997979641,
-0.008417993783950806,
-0.033025991171598434,
0.05459222197532654,
-0.043981000781059265,
0.07612140476703644,
0.05086027830839157,
0.05435071885585785,
-0.09598542749881744,
-0.05852414667606354,
0.06589669734239578,
-0.026101592928171158,
-0.006469579413533211,
-0.018059829249978065,
0.02695508860051632,
-0.0507248230278492,
0.02649568021297455,
-0.05597586929798126,
0.013080851174890995,
0.004332743119448423,
0.018710697069764137,
0.05758865550160408,
-0.13097234070301056,
-0.05457821488380432,
-0.014033414423465729,
0.04696755111217499,
-0.006222338881343603,
0.003555396804586053,
-0.05295972526073456,
-0.04787643998861313,
-0.02766866609454155,
0.0012430294882506132,
0.013002688065171242,
0.01927705854177475,
-0.02869343012571335,
0.05890848487615585,
-0.0018174431752413511,
0.05809789523482323,
0.000005275356215861393,
0.02996813878417015,
-0.11900758743286133,
-0.026639916002750397,
-0.04393904656171799,
-0.025094376876950264,
0.0033091611694544554,
-0.01795998029410839,
-0.040530674159526825,
0.09744240343570709,
-0.09089580923318863,
-0.010630391538143158,
-0.05650303512811661,
-0.06772075593471527,
-0.0036175420973449945,
0.0035393608268350363,
0.019835419952869415,
0.004406546242535114,
-0.04254892095923424,
0.08637077361345291,
-5.1034380277314995e-8,
0.0482085682451725,
-0.014804689213633537,
0.003137090941891074,
0.10869141668081284,
0.01556526031345129,
0.02234330028295517,
-0.07179901748895645,
0.0014249860541895032,
0.00573014048859477,
0.013718489557504654,
0.015102295204997063,
0.043941035866737366,
0.002362259663641453,
-0.005607355386018753,
-0.027735399082303047,
-0.037764277309179306,
-0.02807457186281681,
0.02088112011551857,
-0.013748298399150372,
-0.12971679866313934,
-0.008069443516433239,
0.022248176857829094,
0.030819345265626907,
-0.007793359458446503,
-0.02917363867163658,
0.0190842654556036,
-0.04668382182717323,
-0.1507931798696518,
0.004897203762084246,
-0.021564709022641182,
-0.03756534308195114,
0.030697906389832497,
0.05536424741148949,
0.06203724071383476,
-0.043246231973171234,
-0.04887152835726738,
-0.009092169813811779,
0.050689324736595154,
0.06562179327011108,
-0.04828580841422081,
-0.0019145747646689415,
0.10909601300954819,
0.022713616490364075,
0.028322573751211166,
-0.0013218519743531942,
0.09563802927732468,
-0.11765105277299881,
0.07470036298036575,
0.02738068625330925,
0.0339084155857563,
-0.09586180746555328,
0.014743420295417309,
0.0034350554924458265,
-0.0058774990029633045,
0.008787984028458595,
-0.004519869573414326,
-0.08035736531019211,
-0.04812571778893471,
0.005178820341825485,
0.05627363175153732,
0.05966198444366455,
0.025362350046634674,
-0.046982698142528534,
0.00641030864790082
] | null | null | null | null | null | null | null | [
-0.044830210506916046,
0.019046690315008163,
0.0541420578956604,
0.04714063182473183,
-0.03939366340637207,
0.0031243441626429558,
-0.07056493312120438,
-0.041232943534851074,
0.06067903712391853,
0.012205574661493301,
-0.07630885392427444,
-0.030913488939404488,
-0.03971411660313606,
-0.10852492600679398,
0.16682913899421692,
0.003836649237200618,
-0.09444436430931091,
-0.05460382252931595,
-0.0076551372185349464,
0.005544750485569239,
0.07290668040513992,
-0.05692991614341736,
-0.025193138048052788,
-0.04057162627577782,
0.04378252103924751,
-0.005943748168647289,
0.05067672207951546,
-0.028705518692731857,
0.058263808488845825,
0.005844750441610813,
0.047369785606861115,
-0.0537685863673687,
-0.1352238953113556,
-0.02077574096620083,
-0.02259470522403717,
0.025687601417303085,
0.0373876579105854,
0.07234470546245575,
-0.02151677943766117,
-0.023358769714832306,
0.13114291429519653,
0.0911572277545929,
0.00859944336116314,
-0.009711670689284801,
0.00046064823982305825,
0.027171190828084946,
-0.025945307686924934,
0.02141203172504902,
-0.019260546192526817,
-0.06306765973567963,
-0.014993278309702873,
0.0478447750210762,
-0.01796669326722622,
0.10961984843015671,
-0.05170246958732605,
-0.003487922716885805,
0.09322481602430344,
-0.026413260027766228,
-0.040240153670310974,
-0.08681567013263702,
-0.040000997483730316,
0.004333454184234142,
-0.0246219914406538,
-0.013823075219988823,
0.08156874775886536,
-0.09362821280956268,
-0.026734329760074615,
-0.008691847324371338,
0.04951464384794235,
0.04942330718040466,
-0.04281921684741974,
-0.04243140295147896,
-0.052812039852142334,
-0.04744812101125717,
0.04639311507344246,
-0.03550032526254654,
-0.12427232414484024,
0.020354250445961952,
-0.0463920459151268,
0.030223635956645012,
0.05128152668476105,
-0.039303045719861984,
-0.029816390946507454,
-0.09559650719165802,
-0.06979285180568695,
0.031695276498794556,
-0.023195547983050346,
-0.08253882080316544,
0.02454204671084881,
-0.0900353491306305,
-0.06356343626976013,
-0.06625009328126907,
-0.013487507589161396,
-0.05808119475841522,
0.07270602881908417,
0.024131033569574356,
0.027888964861631393,
0.06891963630914688,
0.018250923603773117,
-0.028674310073256493,
0.022319631651043892,
-0.0320480577647686,
0.047923024743795395,
0.04811359569430351,
0.01069166325032711,
0.05239992216229439,
0.03520877659320831,
-0.0028449713718146086,
0.0055922954343259335,
0.0363982655107975,
0.040885139256715775,
-0.055736809968948364,
0.04805774986743927,
0.04021299630403519,
-0.041173335164785385,
0.05616355687379837,
-0.06398653239011765,
0.021680517122149467,
0.005028776824474335,
0.012779333628714085,
-0.01317614782601595,
0.049291372299194336,
-0.012278474867343903,
-0.04854978621006012,
-0.025639358907938004,
-0.04272284731268883,
-0.05181071534752846,
1.0800992189977164e-33,
0.014525722712278366,
-0.030033189803361893,
-0.041150011122226715,
0.009524992667138577,
0.035802628844976425,
-0.06930599361658096,
0.052889298647642136,
0.014491434209048748,
-0.03499286249279976,
0.07310567051172256,
0.03628323972225189,
-0.05076911672949791,
-0.002828828990459442,
-0.018577463924884796,
-0.015792857855558395,
-0.024125613272190094,
-0.020333582535386086,
-0.022529734298586845,
0.0378878079354763,
0.10901889950037003,
0.09553215652704239,
0.020756591111421585,
-0.009251692332327366,
0.051551926881074905,
-0.041019752621650696,
-0.029260296374559402,
-0.02401810698211193,
-0.02477879822254181,
-0.07620076835155487,
0.016984058544039726,
0.09297304600477219,
0.042309507727622986,
-0.13331276178359985,
0.029632868245244026,
0.10492358356714249,
-0.044461529701948166,
0.008808884769678116,
0.04258136823773384,
0.028742590919137,
-0.07467534393072128,
-0.05783035233616829,
-0.09286252409219742,
-0.012205269187688828,
0.05209879204630852,
-0.058739643543958664,
0.021152181550860405,
0.005914639215916395,
-0.047730352729558945,
0.02738424949347973,
-0.004901209846138954,
0.028190676122903824,
-0.021846331655979156,
-0.03349371999502182,
0.11721896380186081,
0.05347380042076111,
-0.06067214533686638,
0.04879186674952507,
-0.054262395948171616,
0.004461819771677256,
0.0028452668339014053,
0.017084352672100067,
0.03167366981506348,
0.034699272364377975,
-0.011081097647547722,
0.019047223031520844,
-0.02823088876903057,
0.0042616925202310085,
0.04430501163005829,
0.08745614439249039,
0.007876059971749783,
0.06206579506397247,
0.043654538691043854,
0.05089243873953819,
-0.02329997532069683,
0.0552731417119503,
-0.021997062489390373,
0.05588986352086067,
-0.010602978058159351,
0.022388260811567307,
0.06515299528837204,
0.027287093922495842,
-0.0737476795911789,
-0.04073204845190048,
0.1010737270116806,
-0.010963535867631435,
-0.09111212193965912,
-0.0449032261967659,
-0.10035932809114456,
-0.07717689871788025,
0.028273841366171837,
-0.04556768387556076,
-0.045272305607795715,
-0.024328358471393585,
0.009774002246558666,
-0.06735655665397644,
-4.4758945747954995e-33,
0.02624732255935669,
0.0019920519553124905,
0.050601501017808914,
0.004464751109480858,
-0.03795464336872101,
0.08540314435958862,
0.042114730924367905,
0.083547443151474,
-0.01354140229523182,
0.011204770766198635,
0.01716717518866062,
0.09799113869667053,
0.04799657315015793,
0.07197967916727066,
0.04934177175164223,
-0.04613211378455162,
0.1162135899066925,
-0.02607451006770134,
0.04985456168651581,
0.02118232101202011,
-0.0099449148401618,
-0.012103475630283356,
-0.02902226522564888,
-0.028986018151044846,
0.051818616688251495,
0.011799103580415249,
0.07241519540548325,
-0.029779961332678795,
-0.03922736644744873,
0.023395061492919922,
-0.02386169694364071,
0.028473254293203354,
-0.006491946987807751,
-0.010565844364464283,
-0.1270311176776886,
0.019035417586565018,
0.016384262591600418,
0.00795355997979641,
-0.008417993783950806,
-0.033025991171598434,
0.05459222197532654,
-0.043981000781059265,
0.07612140476703644,
0.05086027830839157,
0.05435071885585785,
-0.09598542749881744,
-0.05852414667606354,
0.06589669734239578,
-0.026101592928171158,
-0.006469579413533211,
-0.018059829249978065,
0.02695508860051632,
-0.0507248230278492,
0.02649568021297455,
-0.05597586929798126,
0.013080851174890995,
0.004332743119448423,
0.018710697069764137,
0.05758865550160408,
-0.13097234070301056,
-0.05457821488380432,
-0.014033414423465729,
0.04696755111217499,
-0.006222338881343603,
0.003555396804586053,
-0.05295972526073456,
-0.04787643998861313,
-0.02766866609454155,
0.0012430294882506132,
0.013002688065171242,
0.01927705854177475,
-0.02869343012571335,
0.05890848487615585,
-0.0018174431752413511,
0.05809789523482323,
0.000005275356215861393,
0.02996813878417015,
-0.11900758743286133,
-0.026639916002750397,
-0.04393904656171799,
-0.025094376876950264,
0.0033091611694544554,
-0.01795998029410839,
-0.040530674159526825,
0.09744240343570709,
-0.09089580923318863,
-0.010630391538143158,
-0.05650303512811661,
-0.06772075593471527,
-0.0036175420973449945,
0.0035393608268350363,
0.019835419952869415,
0.004406546242535114,
-0.04254892095923424,
0.08637077361345291,
-5.1034380277314995e-8,
0.0482085682451725,
-0.014804689213633537,
0.003137090941891074,
0.10869141668081284,
0.01556526031345129,
0.02234330028295517,
-0.07179901748895645,
0.0014249860541895032,
0.00573014048859477,
0.013718489557504654,
0.015102295204997063,
0.043941035866737366,
0.002362259663641453,
-0.005607355386018753,
-0.027735399082303047,
-0.037764277309179306,
-0.02807457186281681,
0.02088112011551857,
-0.013748298399150372,
-0.12971679866313934,
-0.008069443516433239,
0.022248176857829094,
0.030819345265626907,
-0.007793359458446503,
-0.02917363867163658,
0.0190842654556036,
-0.04668382182717323,
-0.1507931798696518,
0.004897203762084246,
-0.021564709022641182,
-0.03756534308195114,
0.030697906389832497,
0.05536424741148949,
0.06203724071383476,
-0.043246231973171234,
-0.04887152835726738,
-0.009092169813811779,
0.050689324736595154,
0.06562179327011108,
-0.04828580841422081,
-0.0019145747646689415,
0.10909601300954819,
0.022713616490364075,
0.028322573751211166,
-0.0013218519743531942,
0.09563802927732468,
-0.11765105277299881,
0.07470036298036575,
0.02738068625330925,
0.0339084155857563,
-0.09586180746555328,
0.014743420295417309,
0.0034350554924458265,
-0.0058774990029633045,
0.008787984028458595,
-0.004519869573414326,
-0.08035736531019211,
-0.04812571778893471,
0.005178820341825485,
0.05627363175153732,
0.05966198444366455,
0.025362350046634674,
-0.046982698142528534,
0.00641030864790082
] |
1401.0658 | Stefan Ulrych | S. Ulrych | Conformal relativity with hypercomplex variables | null | Proc. R. Soc. A 470:20140027 (2014) | 10.1098/rspa.2014.0027 | null | physics.gen-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Majorana's arbitrary spin theory is considered in a hyperbolic complex
representation. The underlying differential equation is embedded into the gauge
field theories of Sachs and Carmeli. In particular, the approach of Sachs can
serve as a unified theory of general relativity and electroweak interactions.
The method is extended to conformal space with the intention to introduce the
strong interaction. It is then possible to use the wave equation, operating on
representation functions of the conformal group, to describe the dynamics of
matter fields. The resulting gauge groups resemble closely the gauge symmetries
of Glashow-Salam-Weinberg and the Standard Model.
| [
{
"created": "Wed, 1 Jan 2014 08:10:00 GMT",
"version": "v1"
},
{
"created": "Sat, 17 May 2014 04:32:34 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Jun 2014 05:26:46 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Sep 2014 14:32:45 GMT",
"version": "v4"
}
] | 2014-09-16 | [
[
"Ulrych",
"S.",
""
]
] | [
-0.12383072078227997,
-0.030382459983229637,
-0.06082182005047798,
-0.013909013010561466,
-0.050543054938316345,
0.010280693881213665,
-0.07520075142383575,
-0.021695014089345932,
-0.026965348049998283,
-0.029902538284659386,
0.029971322044730186,
0.006326122675091028,
-0.11312254518270493,
-0.019170168787240982,
0.032711539417505264,
-0.03236564248800278,
-0.04682794585824013,
0.0168739166110754,
-0.09348216652870178,
0.005461881868541241,
0.006403982173651457,
-0.04338481277227402,
0.002340070903301239,
0.025541335344314575,
-0.057400770485401154,
-0.023259541019797325,
0.11410209536552429,
0.02336893416941166,
-0.02111554704606533,
-0.04159389063715935,
0.030854176729917526,
0.04893779009580612,
0.003199727740138769,
-0.029529202729463577,
-0.11117987334728241,
0.12009736150503159,
-0.015191958285868168,
-0.07664051651954651,
-0.0030192171689122915,
-0.11547579616308212,
0.04218818247318268,
0.06041155755519867,
0.008543798699975014,
0.07643386721611023,
0.07895564287900925,
-0.07455350458621979,
0.04522405192255974,
0.021860670298337936,
0.003514127107337117,
-0.054600536823272705,
0.06266610324382782,
-0.025226164609193802,
-0.028325282037258148,
0.0380801297724247,
0.03376856446266174,
-0.020534098148345947,
-0.028476232662796974,
-0.06803284585475922,
0.006861913483589888,
-0.06903484463691711,
0.026761334389448166,
0.07241195440292358,
-0.002804716117680073,
0.016787929460406303,
0.07002648711204529,
0.005246160551905632,
0.007054107263684273,
0.015094558708369732,
0.01809161715209484,
-0.0998569130897522,
-0.057924024760723114,
-0.035410571843385696,
-0.08885301649570465,
-0.06489738076925278,
0.046752043068408966,
-0.009372945874929428,
-0.005086020566523075,
-0.006346401758491993,
0.07636106014251709,
0.010464715771377087,
-0.060057368129491806,
0.021813154220581055,
0.05890018865466118,
0.0005769123672507703,
0.07556226849555969,
0.015476551838219166,
-0.01985166035592556,
-0.012900441884994507,
0.012648019008338451,
-0.026301587000489235,
0.06136808544397354,
-0.050327397882938385,
-0.05323721468448639,
0.004190252162516117,
0.049254149198532104,
0.08848457783460617,
-0.061901215463876724,
0.05284397676587105,
0.00017915932403411716,
-0.004577350802719593,
0.10281869024038315,
-0.02646639570593834,
0.0031932294368743896,
0.03636420518159866,
0.01348921749740839,
-0.005243458319455385,
0.08500067889690399,
0.016970166936516762,
-0.0644536018371582,
0.007789677940309048,
-0.042367979884147644,
0.016176730394363403,
-0.01007434818893671,
-0.041001658886671066,
-0.04550784453749657,
0.006256456486880779,
0.0828280970454216,
0.0873095914721489,
-0.003628668375313282,
0.034447286278009415,
-0.006638280116021633,
0.09808008372783661,
-0.043370336294174194,
-0.00928171444684267,
0.00009918825526256114,
0.059048403054475784,
-0.10718230158090591,
2.6463500243879064e-34,
0.0176300760358572,
0.03296932205557823,
0.020796960219740868,
-0.015797020867466927,
0.04398605227470398,
0.022385036572813988,
-0.022202858701348305,
-0.026763074100017548,
0.012735155411064625,
0.0705212652683258,
-0.1070142388343811,
0.0762886255979538,
0.07937169820070267,
-0.05877407267689705,
-0.0728660598397255,
-0.03809960559010506,
-0.0863930881023407,
-0.02271221950650215,
0.007971919141709805,
-0.0763302743434906,
-0.02253109961748123,
0.11646988987922668,
-0.03910605236887932,
-0.060432251542806625,
0.017961397767066956,
0.07187943160533905,
0.06980264186859131,
0.054932452738285065,
-0.04901852831244469,
0.013806311413645744,
-0.06313847005367279,
-0.034023575484752655,
-0.10499387234449387,
0.01992511935532093,
-0.05603376403450966,
0.0017867782153189182,
0.010247796773910522,
-0.05683916062116623,
0.02541862241923809,
-0.07657045871019363,
-0.023068206384778023,
-0.014338995330035686,
-0.04070829600095749,
-0.017260288819670677,
-0.0292101688683033,
0.07458649575710297,
0.0866909995675087,
0.02564535103738308,
0.05177617073059082,
-0.03061712346971035,
0.00015383417485281825,
-0.08590123802423477,
-0.08167148381471634,
0.003420343855395913,
-0.0043225279077887535,
0.08364205807447433,
0.002441984601318836,
0.015228928066790104,
-0.024471808224916458,
0.011735755018889904,
0.040782902389764786,
0.10840265452861786,
0.06776103377342224,
0.04879947751760483,
0.01419911440461874,
-0.0395449623465538,
-0.045124784111976624,
0.027081727981567383,
-0.010039553046226501,
0.018238194286823273,
-0.05307562276721001,
0.05253785476088524,
-0.03399909660220146,
0.024731595069169998,
-0.001418406842276454,
-0.04061814025044441,
0.030948223546147346,
0.04991376772522926,
-0.055034976452589035,
0.06947972625494003,
-0.04529079049825668,
-0.06830333173274994,
0.009096027351915836,
0.06321194767951965,
-0.04973644018173218,
0.07912839949131012,
-0.043316930532455444,
-0.05633625388145447,
-0.003603537566959858,
-0.11207982897758484,
-0.04296234995126724,
0.03672603890299797,
0.05653601512312889,
-0.052995871752500534,
-0.0406394824385643,
-2.9839224309143044e-33,
-0.003113588085398078,
-0.020232511684298515,
0.03463198244571686,
-0.061394717544317245,
0.05981219932436943,
-0.05806134641170502,
-0.04515300318598747,
-0.03606690466403961,
-0.05543436482548714,
-0.04395689815282822,
0.017384912818670273,
0.031529925763607025,
-0.018698131665587425,
-0.021549519151449203,
0.030329018831253052,
0.02371606044471264,
0.010759017430245876,
0.004247249104082584,
-0.012960931286215782,
-0.04841803014278412,
0.0018608829705044627,
0.0013539260253310204,
-0.03951769322156906,
-0.033369503915309906,
-0.056722499430179596,
-0.0516049787402153,
0.08036480844020844,
-0.034563515335321426,
0.06557038426399231,
0.11331695318222046,
0.015794621780514717,
-0.08161606639623642,
-0.06065666675567627,
0.04311906546354294,
-0.044704414904117584,
0.024373164400458336,
0.01585068181157112,
0.0429455041885376,
0.0114958006888628,
0.024117132648825645,
-0.0388927161693573,
0.07345333695411682,
0.0800112709403038,
0.04584035277366638,
0.0021975217387080193,
0.07663870602846146,
0.031502142548561096,
-0.006990055553615093,
-0.12095710635185242,
-0.019335057586431503,
-0.033778246492147446,
-0.04241970181465149,
0.04433510825037956,
-0.03738858178257942,
-0.08501102030277252,
0.07169061154127121,
0.08239827305078506,
-0.08739981800317764,
-0.05392098426818848,
-0.05230230465531349,
0.0010075620375573635,
-0.049649808555841446,
0.07221171259880066,
-0.022040391340851784,
-0.014182591810822487,
-0.01886919140815735,
-0.03529699891805649,
-0.0960356593132019,
0.05972205102443695,
0.030152156949043274,
0.04629792273044586,
-0.07181483507156372,
-0.06251876801252365,
0.07424090802669525,
-0.013599000871181488,
0.05578001216053963,
0.06902052462100983,
-0.010724802501499653,
0.06864456832408905,
-0.009308063425123692,
0.09175912290811539,
0.042361192405223846,
0.06944607198238373,
0.04145331680774689,
0.07836541533470154,
-0.08640407770872116,
-0.06687834858894348,
0.054459527134895325,
0.07004579156637192,
0.008529194630682468,
-0.04072016105055809,
0.037509310990571976,
0.03616614639759064,
0.11653132736682892,
0.008575811982154846,
-4.088521521339317e-8,
0.009205053560435772,
-0.011304198764264584,
0.024911053478717804,
-0.027296610176563263,
-0.03803791478276253,
0.041480567306280136,
-0.07438518106937408,
-0.05576152354478836,
-0.033560022711753845,
0.08452486246824265,
-0.03034563548862934,
-0.0021423515863716602,
-0.10785911232233047,
-0.06326894462108612,
-0.018280869349837303,
0.0537593699991703,
0.04903379827737808,
0.047925833612680435,
-0.02155950479209423,
0.03186085820198059,
0.021159637719392776,
0.01630856841802597,
-0.06904742121696472,
-0.012353417463600636,
0.043857116252183914,
0.000915500451810658,
-0.009627791121602058,
-0.019697189331054688,
-0.037302594631910324,
0.028236916288733482,
0.023748284205794334,
0.05845821276307106,
0.014725192449986935,
0.006138305179774761,
-0.0640053078532219,
-0.02275777794420719,
0.0036846771836280823,
-0.03484354168176651,
0.0531521812081337,
0.06818398088216782,
0.02665862999856472,
0.039172373712062836,
0.04171648249030113,
0.03391661494970322,
0.0371345654129982,
0.004009818658232689,
0.005989621393382549,
-0.017896853387355804,
0.0036575482226908207,
0.1677985042333603,
0.047602470964193344,
0.09326813369989395,
-0.03443828225135803,
0.01060024369508028,
-0.04327836260199547,
0.04773423820734024,
-0.04817962646484375,
-0.004738693591207266,
0.00942499190568924,
-0.024624072015285492,
0.035889238119125366,
0.045460257679224014,
0.004310664255172014,
0.0013260017149150372
] | null | null | null | null | null | null | null | [
-0.12383072078227997,
-0.030382459983229637,
-0.06082182005047798,
-0.013909013010561466,
-0.050543054938316345,
0.010280693881213665,
-0.07520075142383575,
-0.021695014089345932,
-0.026965348049998283,
-0.029902538284659386,
0.029971322044730186,
0.006326122675091028,
-0.11312254518270493,
-0.019170168787240982,
0.032711539417505264,
-0.03236564248800278,
-0.04682794585824013,
0.0168739166110754,
-0.09348216652870178,
0.005461881868541241,
0.006403982173651457,
-0.04338481277227402,
0.002340070903301239,
0.025541335344314575,
-0.057400770485401154,
-0.023259541019797325,
0.11410209536552429,
0.02336893416941166,
-0.02111554704606533,
-0.04159389063715935,
0.030854176729917526,
0.04893779009580612,
0.003199727740138769,
-0.029529202729463577,
-0.11117987334728241,
0.12009736150503159,
-0.015191958285868168,
-0.07664051651954651,
-0.0030192171689122915,
-0.11547579616308212,
0.04218818247318268,
0.06041155755519867,
0.008543798699975014,
0.07643386721611023,
0.07895564287900925,
-0.07455350458621979,
0.04522405192255974,
0.021860670298337936,
0.003514127107337117,
-0.054600536823272705,
0.06266610324382782,
-0.025226164609193802,
-0.028325282037258148,
0.0380801297724247,
0.03376856446266174,
-0.020534098148345947,
-0.028476232662796974,
-0.06803284585475922,
0.006861913483589888,
-0.06903484463691711,
0.026761334389448166,
0.07241195440292358,
-0.002804716117680073,
0.016787929460406303,
0.07002648711204529,
0.005246160551905632,
0.007054107263684273,
0.015094558708369732,
0.01809161715209484,
-0.0998569130897522,
-0.057924024760723114,
-0.035410571843385696,
-0.08885301649570465,
-0.06489738076925278,
0.046752043068408966,
-0.009372945874929428,
-0.005086020566523075,
-0.006346401758491993,
0.07636106014251709,
0.010464715771377087,
-0.060057368129491806,
0.021813154220581055,
0.05890018865466118,
0.0005769123672507703,
0.07556226849555969,
0.015476551838219166,
-0.01985166035592556,
-0.012900441884994507,
0.012648019008338451,
-0.026301587000489235,
0.06136808544397354,
-0.050327397882938385,
-0.05323721468448639,
0.004190252162516117,
0.049254149198532104,
0.08848457783460617,
-0.061901215463876724,
0.05284397676587105,
0.00017915932403411716,
-0.004577350802719593,
0.10281869024038315,
-0.02646639570593834,
0.0031932294368743896,
0.03636420518159866,
0.01348921749740839,
-0.005243458319455385,
0.08500067889690399,
0.016970166936516762,
-0.0644536018371582,
0.007789677940309048,
-0.042367979884147644,
0.016176730394363403,
-0.01007434818893671,
-0.041001658886671066,
-0.04550784453749657,
0.006256456486880779,
0.0828280970454216,
0.0873095914721489,
-0.003628668375313282,
0.034447286278009415,
-0.006638280116021633,
0.09808008372783661,
-0.043370336294174194,
-0.00928171444684267,
0.00009918825526256114,
0.059048403054475784,
-0.10718230158090591,
2.6463500243879064e-34,
0.0176300760358572,
0.03296932205557823,
0.020796960219740868,
-0.015797020867466927,
0.04398605227470398,
0.022385036572813988,
-0.022202858701348305,
-0.026763074100017548,
0.012735155411064625,
0.0705212652683258,
-0.1070142388343811,
0.0762886255979538,
0.07937169820070267,
-0.05877407267689705,
-0.0728660598397255,
-0.03809960559010506,
-0.0863930881023407,
-0.02271221950650215,
0.007971919141709805,
-0.0763302743434906,
-0.02253109961748123,
0.11646988987922668,
-0.03910605236887932,
-0.060432251542806625,
0.017961397767066956,
0.07187943160533905,
0.06980264186859131,
0.054932452738285065,
-0.04901852831244469,
0.013806311413645744,
-0.06313847005367279,
-0.034023575484752655,
-0.10499387234449387,
0.01992511935532093,
-0.05603376403450966,
0.0017867782153189182,
0.010247796773910522,
-0.05683916062116623,
0.02541862241923809,
-0.07657045871019363,
-0.023068206384778023,
-0.014338995330035686,
-0.04070829600095749,
-0.017260288819670677,
-0.0292101688683033,
0.07458649575710297,
0.0866909995675087,
0.02564535103738308,
0.05177617073059082,
-0.03061712346971035,
0.00015383417485281825,
-0.08590123802423477,
-0.08167148381471634,
0.003420343855395913,
-0.0043225279077887535,
0.08364205807447433,
0.002441984601318836,
0.015228928066790104,
-0.024471808224916458,
0.011735755018889904,
0.040782902389764786,
0.10840265452861786,
0.06776103377342224,
0.04879947751760483,
0.01419911440461874,
-0.0395449623465538,
-0.045124784111976624,
0.027081727981567383,
-0.010039553046226501,
0.018238194286823273,
-0.05307562276721001,
0.05253785476088524,
-0.03399909660220146,
0.024731595069169998,
-0.001418406842276454,
-0.04061814025044441,
0.030948223546147346,
0.04991376772522926,
-0.055034976452589035,
0.06947972625494003,
-0.04529079049825668,
-0.06830333173274994,
0.009096027351915836,
0.06321194767951965,
-0.04973644018173218,
0.07912839949131012,
-0.043316930532455444,
-0.05633625388145447,
-0.003603537566959858,
-0.11207982897758484,
-0.04296234995126724,
0.03672603890299797,
0.05653601512312889,
-0.052995871752500534,
-0.0406394824385643,
-2.9839224309143044e-33,
-0.003113588085398078,
-0.020232511684298515,
0.03463198244571686,
-0.061394717544317245,
0.05981219932436943,
-0.05806134641170502,
-0.04515300318598747,
-0.03606690466403961,
-0.05543436482548714,
-0.04395689815282822,
0.017384912818670273,
0.031529925763607025,
-0.018698131665587425,
-0.021549519151449203,
0.030329018831253052,
0.02371606044471264,
0.010759017430245876,
0.004247249104082584,
-0.012960931286215782,
-0.04841803014278412,
0.0018608829705044627,
0.0013539260253310204,
-0.03951769322156906,
-0.033369503915309906,
-0.056722499430179596,
-0.0516049787402153,
0.08036480844020844,
-0.034563515335321426,
0.06557038426399231,
0.11331695318222046,
0.015794621780514717,
-0.08161606639623642,
-0.06065666675567627,
0.04311906546354294,
-0.044704414904117584,
0.024373164400458336,
0.01585068181157112,
0.0429455041885376,
0.0114958006888628,
0.024117132648825645,
-0.0388927161693573,
0.07345333695411682,
0.0800112709403038,
0.04584035277366638,
0.0021975217387080193,
0.07663870602846146,
0.031502142548561096,
-0.006990055553615093,
-0.12095710635185242,
-0.019335057586431503,
-0.033778246492147446,
-0.04241970181465149,
0.04433510825037956,
-0.03738858178257942,
-0.08501102030277252,
0.07169061154127121,
0.08239827305078506,
-0.08739981800317764,
-0.05392098426818848,
-0.05230230465531349,
0.0010075620375573635,
-0.049649808555841446,
0.07221171259880066,
-0.022040391340851784,
-0.014182591810822487,
-0.01886919140815735,
-0.03529699891805649,
-0.0960356593132019,
0.05972205102443695,
0.030152156949043274,
0.04629792273044586,
-0.07181483507156372,
-0.06251876801252365,
0.07424090802669525,
-0.013599000871181488,
0.05578001216053963,
0.06902052462100983,
-0.010724802501499653,
0.06864456832408905,
-0.009308063425123692,
0.09175912290811539,
0.042361192405223846,
0.06944607198238373,
0.04145331680774689,
0.07836541533470154,
-0.08640407770872116,
-0.06687834858894348,
0.054459527134895325,
0.07004579156637192,
0.008529194630682468,
-0.04072016105055809,
0.037509310990571976,
0.03616614639759064,
0.11653132736682892,
0.008575811982154846,
-4.088521521339317e-8,
0.009205053560435772,
-0.011304198764264584,
0.024911053478717804,
-0.027296610176563263,
-0.03803791478276253,
0.041480567306280136,
-0.07438518106937408,
-0.05576152354478836,
-0.033560022711753845,
0.08452486246824265,
-0.03034563548862934,
-0.0021423515863716602,
-0.10785911232233047,
-0.06326894462108612,
-0.018280869349837303,
0.0537593699991703,
0.04903379827737808,
0.047925833612680435,
-0.02155950479209423,
0.03186085820198059,
0.021159637719392776,
0.01630856841802597,
-0.06904742121696472,
-0.012353417463600636,
0.043857116252183914,
0.000915500451810658,
-0.009627791121602058,
-0.019697189331054688,
-0.037302594631910324,
0.028236916288733482,
0.023748284205794334,
0.05845821276307106,
0.014725192449986935,
0.006138305179774761,
-0.0640053078532219,
-0.02275777794420719,
0.0036846771836280823,
-0.03484354168176651,
0.0531521812081337,
0.06818398088216782,
0.02665862999856472,
0.039172373712062836,
0.04171648249030113,
0.03391661494970322,
0.0371345654129982,
0.004009818658232689,
0.005989621393382549,
-0.017896853387355804,
0.0036575482226908207,
0.1677985042333603,
0.047602470964193344,
0.09326813369989395,
-0.03443828225135803,
0.01060024369508028,
-0.04327836260199547,
0.04773423820734024,
-0.04817962646484375,
-0.004738693591207266,
0.00942499190568924,
-0.024624072015285492,
0.035889238119125366,
0.045460257679224014,
0.004310664255172014,
0.0013260017149150372
] |