GeoFaith: A Spatio-Temporal Dual View of Faithful Chain-of-Thought

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Hauptverfasser: Lv, Weijiang, Zhao, Wentong, Wang, Jiayu, Wu, Yuhao, Wei, Jiaheng, Xia, Xiaobo
Format: Preprint
Veröffentlicht: 2026
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author Lv, Weijiang
Zhao, Wentong
Wang, Jiayu
Wu, Yuhao
Wei, Jiaheng
Xia, Xiaobo
author_facet Lv, Weijiang
Zhao, Wentong
Wang, Jiayu
Wu, Yuhao
Wei, Jiaheng
Xia, Xiaobo
contents Chain-of-Thought (CoT) reasoning has advanced large language models (LLMs), but outcome-based supervision leads to pervasive post-hoc rationalization, producing plausible yet unfaithful reasoning chains. Most prior faithfulness assessment methods are either unscalable, expensive, or unreliable. We propose GeoFaith, a spatio-temporal framework that leverages latent geometric structure and entropy dynamics to diagnose and enforce faithful reasoning. We develop a scalable bootstrapping pipeline expanding step-level annotations from 1k to 20k samples across four domains, train an 8B faithfulness detector outperforming GPT-5 on standard benchmarks, and design a faithfulness-aware reinforcement learning framework jointly optimizing outcome correctness, process faithfulness, and trajectory consistency. Experiments show the proposed method achieves superior performance on both faithfulness detection and downstream reasoning, producing shorter, more interpretable chains without sacrificing accuracy. Our code will be made available publicly.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26893
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle GeoFaith: A Spatio-Temporal Dual View of Faithful Chain-of-Thought
Lv, Weijiang
Zhao, Wentong
Wang, Jiayu
Wu, Yuhao
Wei, Jiaheng
Xia, Xiaobo
Computation and Language
Artificial Intelligence
Chain-of-Thought (CoT) reasoning has advanced large language models (LLMs), but outcome-based supervision leads to pervasive post-hoc rationalization, producing plausible yet unfaithful reasoning chains. Most prior faithfulness assessment methods are either unscalable, expensive, or unreliable. We propose GeoFaith, a spatio-temporal framework that leverages latent geometric structure and entropy dynamics to diagnose and enforce faithful reasoning. We develop a scalable bootstrapping pipeline expanding step-level annotations from 1k to 20k samples across four domains, train an 8B faithfulness detector outperforming GPT-5 on standard benchmarks, and design a faithfulness-aware reinforcement learning framework jointly optimizing outcome correctness, process faithfulness, and trajectory consistency. Experiments show the proposed method achieves superior performance on both faithfulness detection and downstream reasoning, producing shorter, more interpretable chains without sacrificing accuracy. Our code will be made available publicly.
title GeoFaith: A Spatio-Temporal Dual View of Faithful Chain-of-Thought
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2605.26893