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When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions

When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions

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The paper explores the dynamics of reasoning in large language models (LLMs) through the lens of entropy phase transitions. It reveals that reasoning is not a fixed attribute but a dynamic state that can be influenced by early-stage entropy dynamics. The authors propose a new framework, EDRM, which adapts inference strategies based on entropy, leading to improved efficiency and accuracy in LLM performance.

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Original publisherarXiv cs.AI
Canonical URLhttps://arxiv.org/abs/2605.22873
Publication timeMon, 25 May 2026 00:00:00 -0400
Retrieval time2026-05-25T04:07:35.648Z
Last seen2026-05-25T04:07:35.648Z
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Computer Science > Machine Learning arXiv:2605.22873 (cs) [Submitted on 20 May 2026] Title:When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions Authors:Wei Xia, Haoqing Wang, Zhi-Hong Deng, Yehui Tang View a PDF of the paper titled When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions, by Wei Xia and 3 other authors View PDF HTML (experimental) Abstract:Chain-of-thought (CoT) reasoning has become the default strategy for enhancing LLM capabilities, yet its application raises a fundamental question: when is explicit reasoning actually beneficial? Empirical evidence reveals a striking paradox: CoT often provides marginal or even negative gains on factual and open-ended tasks while multiplying token consumption.

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