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Self-Consistency Boosts Calibration for Math Reasoning

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Calibration, which establishes the correlation between accuracy and model confidence, is important for LLM development. We design three off-the-shelf calibration methods based on self-consistency (Wang et al., 2022) for math reasoning tasks. Evaluation on two popular benchmarks (GSM8K and MathQA) using strong open-source LLMs (Mistral and LLaMA2), our methods better bridge model confidence and accuracy than existing methods based on p(True) (Kadavath et al., 2022) or logit (Kadavath et al., 2022).

Ante Wang, Linfeng Song, Ye Tian, Baolin Peng, Lifeng Jin, Haitao Mi, Jinsong Su, Dong Yu• 2024

Related benchmarks

TaskDatasetResultRank
Mathematical ReasoningMath Synth
Sel-AUC0.83
45
Mathematical ReasoningMATH 500
Sel-AUC0.942
45
Selective PredictionMath Synth
Sel-AUC65
13
Mathematical ReasoningAMC 23
Sel-AUC0.955
5
Selective PredictionHotpotQA
Sel-AUC83.9
4
General Knowledge and ReasoningMMLU-Pro
Sel-AUC78.7
2
TruthfulnessTruthfulQA
Sel-AUC0.94
2
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