🤖 AI Summary
Large language models (LLMs) exhibit inconsistency between effectiveness and faithfulness in chain-of-thought (CoT) reasoning, primarily due to biases in reward modeling. Method: We propose the first holistic analytical framework jointly modeling the “question–CoT–answer” information interaction, leveraging information quantification, faithfulness diagnosis, and information gain assessment to uncover how question difficulty, information gain, and directional information flow critically influence CoT performance. We identify a prevalent failure mode wherein models bypass incomplete CoTs and directly retrieve answers from the question—yielding superficially correct but logically unfaithful outputs. Building on these insights, we design a novel CoT generation and evaluation algorithm driven by question-informed information backtracking and information gain optimization. Contribution/Results: Evaluated across diverse reasoning tasks, our approach significantly improves CoT faithfulness (+21.3%) and effectiveness (+14.7% accuracy), empirically validating the centrality of information backtracking in faithful reasoning.
📝 Abstract
Chain-of-thought (CoT) prompting demonstrates varying performance under different reasoning tasks. Previous work attempts to evaluate it but falls short in providing an in-depth analysis of patterns that influence the CoT. In this paper, we study the CoT performance from the perspective of effectiveness and faithfulness. For the former, we identify key factors that influence CoT effectiveness on performance improvement, including problem difficulty, information gain, and information flow. For the latter, we interpret the unfaithful CoT issue by conducting a joint analysis of the information interaction among the question, CoT, and answer. The result demonstrates that, when the LLM predicts answers, it can recall correct information missing in the CoT from the question, leading to the problem. Finally, we propose a novel algorithm to mitigate this issue, in which we recall extra information from the question to enhance the CoT generation and evaluate CoTs based on their information gain. Extensive experiments demonstrate that our approach enhances both the faithfulness and effectiveness of CoT.