Revisiting the Uniform Information Density Hypothesis in LLM Reasoning

Minju Gwak, Guijin Son, Jaehyung Kim


Abstract
The Uniform Information Density (UID) hypothesis proposes that effective communication is achieved by maintaining a stable flow of information. In this work, we revisit this principle in the context of Large Language Model (LLM) reasoning, asking whether step-level uniformity reflects reasoning quality. To this end, we introduce a novel framework to quantify uniformity of information flow at both local and global levels, using an entropy-based stepwise density metric. Across experiments on seven reasoning benchmarks, we see a counter-intuitive pattern: while high-quality reasoning exhibit smooth step-by-step transitions (local uniformity) and structured, non-uniform information flow at the trajectory level (global non-uniformity). The results demonstrate that these uniformities outperform alternative internal signals as predictors of reasoning quality, and such divergence with human communication is not a model deficiency, but a byproduct of distinct objectives between human communication and LLM reasoning.
Anthology ID:
2026.findings-acl.1565
Volume:
Findings of the Association for Computational Linguistics: ACL 2026
Month:
July
Year:
2026
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San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
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Findings
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Publisher:
Association for Computational Linguistics
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Pages:
31304–31333
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https://preview.aclanthology.org/ingest-acl/2026.findings-acl.1565/
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Cite (ACL):
Minju Gwak, Guijin Son, and Jaehyung Kim. 2026. Revisiting the Uniform Information Density Hypothesis in LLM Reasoning. In Findings of the Association for Computational Linguistics: ACL 2026, pages 31304–31333, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
Revisiting the Uniform Information Density Hypothesis in LLM Reasoning (Gwak et al., Findings 2026)
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