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How does self-consistency improve CoT?

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Answer

  • Sample K CoT traces at higher temperature (T=0.7-1.0), extract the final answer from each, and majority-vote (or weighted vote).
  • Robust to sporadic reasoning errors: even if 3/10 traces are wrong, the correct answer wins the majority.
  • Cost: K× more tokens generated.
  • Gains: another 5-15% on math benchmarks like GSM8K on top of CoT (Wang et al., 2022).
  • Standard in evaluation harnesses for reasoning benchmarks.
Check yourself — multiple choice
  • Take the mean logit
  • Sample K CoT traces at higher T, majority-vote the final answer → 5-15% gains on math over single-CoT
  • Same as beam search
  • Only for classification

Self-consistency: sample K CoTs + majority vote → robust to sporadic errors.

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