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Autori principali: Cai, Ruichu, Du, Haopeng, Lin, Qingwen, Chen, Yutong, Li, Zijian, Xu, Boyan
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2601.07123
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author Cai, Ruichu
Du, Haopeng
Lin, Qingwen
Chen, Yutong
Li, Zijian
Xu, Boyan
author_facet Cai, Ruichu
Du, Haopeng
Lin, Qingwen
Chen, Yutong
Li, Zijian
Xu, Boyan
contents Large Reasoning Models (LRMs) often suffer from overthinking, generating unnecessarily long reasoning chains even for simple tasks. This leads to substantial computational overhead with limited performance gain, primarily due to redundant verification and repetitive generation. While prior work typically constrains output length or optimizes correctness, such coarse supervision fails to guide models toward concise yet accurate inference. In this paper, we propose ENTRA, an entropy-based training framework that suppresses redundant reasoning while preserving performance. ENTRA first estimates the token-level importance using a lightweight Bidirectional Importance Estimation (BIE) method, which accounts for both prediction confidence and forward influence. It then computes a redundancy reward based on the entropy of low-importance tokens, normalized by its theoretical upper bound, and optimizes this reward via reinforcement learning. Experiments on mathematical reasoning benchmarks demonstrate that ENTRA reduces output length by 37% to 53% with no loss-and in some cases, gains-in accuracy. Our approach offers a principled and efficient solution to reduce overthinking in LRMs, and provides a generalizable path toward redundancy-aware reasoning optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07123
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle ENTRA: Entropy-Based Redundancy Avoidance in Large Language Model Reasoning
Cai, Ruichu
Du, Haopeng
Lin, Qingwen
Chen, Yutong
Li, Zijian
Xu, Boyan
Artificial Intelligence
Large Reasoning Models (LRMs) often suffer from overthinking, generating unnecessarily long reasoning chains even for simple tasks. This leads to substantial computational overhead with limited performance gain, primarily due to redundant verification and repetitive generation. While prior work typically constrains output length or optimizes correctness, such coarse supervision fails to guide models toward concise yet accurate inference. In this paper, we propose ENTRA, an entropy-based training framework that suppresses redundant reasoning while preserving performance. ENTRA first estimates the token-level importance using a lightweight Bidirectional Importance Estimation (BIE) method, which accounts for both prediction confidence and forward influence. It then computes a redundancy reward based on the entropy of low-importance tokens, normalized by its theoretical upper bound, and optimizes this reward via reinforcement learning. Experiments on mathematical reasoning benchmarks demonstrate that ENTRA reduces output length by 37% to 53% with no loss-and in some cases, gains-in accuracy. Our approach offers a principled and efficient solution to reduce overthinking in LRMs, and provides a generalizable path toward redundancy-aware reasoning optimization.
title ENTRA: Entropy-Based Redundancy Avoidance in Large Language Model Reasoning
topic Artificial Intelligence
url https://arxiv.org/abs/2601.07123