推理让大模型更自信,尤其在答错时
Multiple Choice Questions: Reasoning Makes Large Language Models (LLMs) More Self-Confident, Especially When They are Wrong
- 让模型先推理再作答,会显著提升其自信心
- 错误答案的自信度增幅远超正确答案
- 推理导致判断失准,评估时需谨慎使用置信度
多项选择题(MCQ)是评估大语言模型(LLM)的常用方法。除了判断答案是否正确,评估还常关注模型对答案的置信度。本文研究了模型直接作答与先推理再作答两种方式对其置信度的影响。在涵盖57个学科、涉及七种LLM的通用知识基准上,实验发现:模型在推理后作答时,自信心系统性增强,且错误答案的自信提升幅度大于正确答案。我们推测,推理过程改变了词元概率分布,因最终答案预测依赖于问题和模型自生成的推理链,导致置信度虚高。通过期望校准误差(Expected Calibration Error)和Brier分数等标准校准指标进一步验证,链式思维(CoT)提示会恶化校准效果,提高高置信度错误答案的比例。这表明,在采用CoT提示的MCQ评估中,应谨慎将模型的置信度作为评估或元认知机制的基础。
原文摘要 · Abstract (English)
Multiple Choice Question (MCQ) tests are among the most used methods for evaluating large language models (LLMs). Besides checking the correctness of the selected answer, evaluations often consider the model's confidence through the probability assigned to its response. In this work, we investigate how LLM confidence is influenced by the answering approach when the model answers directly or reasons before responding. Experiments on a general knowledge benchmark, covering 57 subjects and seven LLMs, show that models are systematically more confident when providing reasoning before answering, and that this confidence increase is larger when the selected answer is incorrect than when it is correct. We hypothesize that the reasoning process alters token probabilities, as the final answer prediction depends jointly on the question and the model's self-generated reasoning, leading to inflated confidence estimates. Using standard calibration metrics such as Expected Calibration Error and Brier score, we further show that Chain-of-Thought (CoT) prompting degrades calibration by increasing the proportion of high-confidence wrong answers. These findings indicate that, in MCQ evaluation settings with CoT prompting, LLM-estimated probabilities should be used with caution as a basis for evaluation and metacognitive mechanisms.
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