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import argparse
import json
from collections import defaultdict
from typing import Sequence
import numpy as np
from numba import njit, prange
from scipy.stats import ttest_rel
from sklearn.metrics import roc_curve, auc
from tqdm import tqdm
SUPPORTED_METRICS = [
"avg_mcauroc", # for classification tasks
"exact_match", # for QA tasks
"acc", # for multichoice tasks
"rouge_raw_r2_mid_f", # for summarization tasks
"word_perplexity", # for language modeling tasks
]
def _get_CMs(i, probabilities, references, thresholds):
confusion_matrices = []
for threshold in thresholds[i]:
TP = 0
FP = 0
TN = 0
FN = 0
for j in range(len(probabilities)):
if probabilities[j][i] >= threshold:
if references[j] == i:
TP += 1
else:
FP += 1
else:
if references[j] == i:
FN += 1
else:
TN += 1
cm = {
"TP": TP,
"FP": FP,
"TN": TN,
"FN": FN,
"threshold": threshold,
"class": i,
}
confusion_matrices.append(cm)
return confusion_matrices
def compute_significance_ttest(scores_A, scores_B):
delta = np.mean(scores_A) - np.mean(scores_B)
if delta <= 0:
return 1.0, delta
t, p = ttest_rel(scores_A, scores_B)
# correct for one-tailed test
p_value = p / 2
return p_value, delta
@njit(parallel=True)
def compute_significance_bootstrap(scores_A, scores_B):
n = len(scores_A)
R = 1_000
delta_orig = np.mean(scores_A) - np.mean(scores_B)
if delta_orig <= 0:
return 1.0, delta_orig
r = 0
for _ in prange(R):
samples = np.random.choice(n, n, replace=True)
temp_A = scores_A[samples]
temp_B = scores_B[samples]
delta = np.mean(temp_A) - np.mean(temp_B)
if delta > 2 * delta_orig:
r += 1
pval = r / R
return pval, delta_orig
def compute_significance_avg_mcauroc(
probsA: Sequence[Sequence[float]], referencesA: Sequence[int],
probsB: Sequence[Sequence[float]], referencesB: Sequence[int],
):
# compute MC-AUC for model A
model_A_scores = get_mc_auc_samples(probsA, referencesA, Nsamples=100)
model_B_scores = get_mc_auc_samples(probsB, referencesB, Nsamples=100)
delta = np.mean(model_A_scores) - np.mean(model_B_scores)
# one-tailed test
p_value = (
(model_A_scores[:, np.newaxis] <= model_B_scores[np.newaxis, :]).sum()
/ (len(model_A_scores) * len(model_B_scores))
)
return p_value, delta
# Helper function to convert confusion matrices to numba-compatible arrays
def convert_confusion_matrices(confusion_matrices):
num_thresholds = len(confusion_matrices)
tp = np.empty(num_thresholds)
fn = np.empty(num_thresholds)
for k in range(num_thresholds):
tp[k] = confusion_matrices[k]["TP"]
fn[k] = confusion_matrices[k]["FN"]
return tp, fn
@njit(parallel=True)
def compute_tpr_variates(tp, fn, 位, Nsamples, num_thresholds):
tpr_variates_for_each_fpr = np.empty((num_thresholds, Nsamples))
for k in prange(num_thresholds):
tpr_variates_for_each_fpr[k, :] = np.random.beta(tp[k] + 位, fn[k] + 位, Nsamples)
return tpr_variates_for_each_fpr
def get_mc_auc_samples(probs, references, Nsamples=1_000_000):
n_classes = list(range(len(probs[0])))
fpr = dict()
thresholds = dict()
# compute AUC for every class
auc_scores_per_class = []
for i in range(len(n_classes)):
# for i-th class vs all others
fpr[i], _, thresholds[i] = roc_curve(
y_true=[1 if x == n_classes[i] else 0 for x in references],
y_score=[prob[i] for prob in probs],
)
confusion_matrices = _get_CMs(i, probs, references, thresholds)
tp, fn = convert_confusion_matrices(confusion_matrices)
位 = 1.0 # <- Flat prior
# 位 = 0.5 # <- Jeffrey's prior
# sample variates for every threshold
# tpr_variates_for_each_fpr = []
# for k in range(len(thresholds[i])):
# tpr_variates_for_each_fpr.append(
# numpy.random.beta(confusion_matrices[k]["TP"] + 位, confusion_matrices[k]["FN"] + 位, Nsamples))
tpr_variates_for_each_fpr = compute_tpr_variates(tp, fn, 位, Nsamples, len(thresholds[i]))
# fprs x tpr_variates
# tpr_variates_for_each_fpr = np.array(tpr_variates_for_each_fpr)
# now pick 1 variate for each fpr, and compute AUC
auc_scores = []
for tpr_variates in tpr_variates_for_each_fpr.T:
auc_score = auc(fpr[i], tpr_variates)
# if numpy.isnan(auc_score):
# auc_score = 0
auc_scores.append(auc_score)
auc_scores_per_class.append(auc_scores)
auc_scores_per_class = np.array(auc_scores_per_class)
mcauc_scores = np.mean(auc_scores_per_class, axis=0)
return mcauc_scores
def read_json(file_path):
data = defaultdict(list)
with open(file_path, "r") as f:
fc = json.load(f)
for task, results in fc["predictions"].items():
# determine the metric
metric = None
for key in SUPPORTED_METRICS:
if key in results[0]:
metric = key
break
if metric is None:
raise ValueError(f"Unsupported metric in {file_path}")
if metric == "avg_mcauroc":
local_data = [line[metric] for line in fc["predictions"][task]]
unzipped_list = list(zip(*local_data))
golds = unzipped_list[0]
probs = unzipped_list[1]
data[task] = (golds, probs), metric
else:
scores = [line[metric] for line in fc["predictions"][task]]
data[task] = scores, metric
# make sure all tasks are submitted
METADATA_FILE = "tasks_metadata.json"
with open(METADATA_FILE, "r") as f:
metadata = json.load(f)
all_tasks = list(metadata.keys())
all_missing_tasks = []
for task in all_tasks:
if task not in data:
all_missing_tasks.append(task)
if len(all_missing_tasks) > 0:
EOLN = "\n"
raise ValueError(f"Missing tasks in {file_path}: {EOLN.join(all_missing_tasks)}")
return data
def process_task(task, dataA, dataB, significance_level):
metricA = dataA[task][1]
metricB = dataB[task][1]
assert metricA == metricB
assert len(dataA[task]) == len(dataB[task])
if metricA == "avg_mcauroc":
p_value, delta = compute_significance_avg_mcauroc(
probsA=dataA[task][0][1], referencesA=dataA[task][0][0],
probsB=dataB[task][0][1], referencesB=dataB[task][0][0],
)
elif metricA in ["acc", "exact_match"]:
p_value, delta = compute_significance_ttest(
scores_A=dataA[task][0],
scores_B=dataB[task][0]
)
elif metricA in ["rouge_raw_r2_mid_f", "word_perplexity"]:
p_value, delta = compute_significance_bootstrap(
scores_A=np.array(dataA[task][0]),
scores_B=np.array(dataB[task][0])
)
else:
raise ValueError(f"Unsupported metric {metricA}")
if delta <= 0:
p_value = 1.0
return task, {
"significant": not (p_value > significance_level),
"p_value": p_value,
"delta": delta,
}
def check_significance(fileA, fileB, significance_level=0.05):
dataA = read_json(fileA)
dataB = read_json(fileB)
decisions = dict()
_iter = tqdm(list(dataA.keys()))
for task in _iter:
_iter.set_description(f"Processing task: {task}")
metricA = dataA[task][1]
metricB = dataB[task][1]
assert metricA == metricB
assert len(dataA[task]) == len(dataB[task])
if metricA == "avg_mcauroc":
p_value, delta = compute_significance_avg_mcauroc(
probsA=dataA[task][0][1], referencesA=dataA[task][0][0],
probsB=dataB[task][0][1], referencesB=dataB[task][0][0],
)
elif metricA in ["acc", "exact_match"]:
p_value, delta = compute_significance_ttest(
scores_A=dataA[task][0],
scores_B=dataB[task][0]
)
elif metricA in ["rouge_raw_r2_mid_f", "word_perplexity"]:
p_value, delta = compute_significance_bootstrap(
scores_A=np.array(dataA[task][0]),
scores_B=np.array(dataB[task][0])
)
else:
raise ValueError(f"Unsupported metric {metricA}")
if delta <= 0:
p_value = 1.0
decisions[task] = {
"significant": not (p_value > significance_level),
"p_value": p_value,
"delta": delta,
}
return decisions
def main():
parser = argparse.ArgumentParser(description="One-tailed test if model A improves over model B.")
parser.add_argument("--modelA", help="ModelA JSON file from lm harness.")
parser.add_argument("--modelB", help="ModelB JSON file from lm harness.")
parser.add_argument(
"--significance_level",
type=float,
default=0.05,
help="Significance level (e.g., 0.05)",
)
args = parser.parse_args()
result = check_significance(args.modelA, args.modelB, args.significance_level)
print(json.dumps(result, indent=2))
# harness already returns stderr estimate for sampling distribution
# see https://github.com/EleutherAI/lm-evaluation-harness/blob/6433bd3fe3033d302b22cdcd53af237e9039ef29/lm_eval/api/metrics.py#L213
if __name__ == "__main__":
check_significance("../csmpt.json", "../llama3_instruct.json", 0.05)
main()
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