Confidence Improves Self-Consistency in LLMs

Authors: Amir Taubenfeld, Tom Sheffer, Eran Ofek, Amir Feder, Ariel Goldstein, Zorik Gekhman, Gal Yona

License: CC BY 4.0

Results of the summarizing process for the arXiv paper: 2502.06233v1

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, , , , In this study, the researchers introduce Confidence-Informed Self-Consistency (CISC) as a decoding strategy to enhance the performance of Large Language Models (LLMs) on reasoning tasks. The traditional self-consistency decoding method is effective but computationally expensive, requiring sampling of numerous reasoning paths to increase the chances of selecting the correct answer. CISC addresses this issue by implementing a weighted majority vote based on confidence scores obtained directly from the model. By prioritizing high-confidence paths, CISC can identify the correct answer with a significantly smaller sample size, reducing computational costs. The researchers conducted experiments comparing CISC and self-consistency across various confidence extraction methods, reasoning tasks, and LLM models. They found that CISC outperformed self-consistency in nearly all configurations, reducing the required number of reasoning paths by over 40% on average. Additionally, they introduced within-question confidence evaluation for improved accuracy, demonstrating that standard evaluation methods are poor predictors of success in distinguishing correct and incorrect answers to the same question. Furthermore, a qualitative analysis revealed a significant agreement between model confidence scores and human assessments of reasoning paths' quality. Responses identified by the model as low-confidence were more likely to be flagged by human evaluators as exhibiting signs of low-quality reasoning patterns. This suggests that LLMs are capable of self-assessing their responses. Overall, this study contributes practical methods and foundational insights in the field of natural language processing. It not only proposes CISC as an efficient alternative to self-consistency for LLMs but also introduces within-question confidence evaluation for improved accuracy and provides empirical evidence supporting LLMs' ability to self-assess their outputs. These findings have practical implications for improving LLM performance and contribute to ongoing debates about LLM capabilities in judging the correctness of their own outputs.
AI-generated keywords: Confidence-Informed Self-Consistency

AI-generated Key Points

  • Introduction of Confidence-Informed Self-Consistency (CISC) as a decoding strategy to enhance Large Language Models (LLMs) performance on reasoning tasks
  • CISC uses confidence scores obtained directly from the model to implement a weighted majority vote, prioritizing high-confidence paths for identifying correct answers with smaller sample sizes
  • Experiments showed that CISC outperformed traditional self-consistency in various configurations, reducing required reasoning paths by over 40% on average
  • Within-question confidence evaluation introduced for improved accuracy, showing standard evaluation methods are poor predictors of success in distinguishing correct and incorrect answers
  • Qualitative analysis revealed agreement between model confidence scores and human assessments of reasoning paths' quality, suggesting LLMs can self-assess their responses
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Abstract: Self-consistency decoding enhances LLMs' performance on reasoning tasks by sampling diverse reasoning paths and selecting the most frequent answer. However, it is computationally expensive, as sampling many of these (lengthy) paths is required to increase the chances that the correct answer emerges as the most frequent one. To address this, we introduce Confidence-Informed Self-Consistency (CISC). CISC performs a weighted majority vote based on confidence scores obtained directly from the model. By prioritizing high-confidence paths, it can identify the correct answer with a significantly smaller sample size. When tested on nine models and four datasets, CISC outperforms self-consistency in nearly all configurations, reducing the required number of reasoning paths by over 40% on average. In addition, we introduce the notion of within-question confidence evaluation, after showing that standard evaluation methods are poor predictors of success in distinguishing correct and incorrect answers to the same question. In fact, the most calibrated confidence method proved to be the least effective for CISC. Lastly, beyond these practical implications, our results and analyses show that LLMs can effectively judge the correctness of their own outputs, contributing to the ongoing debate on this topic.

Submitted to arXiv on 10 Feb. 2025

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