mlsanityData to 14 Oct 2026

Not All Tokens Learn Alike: Attention Entropy Reveals Heterogeneous Signals in RL Reasoning

arXiv 2605.07660 ↗First posted 8 May 2026cs.CLcited by 2

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Reinforcement-learning-based post-training has become a key approach for improving the reasoning ability of large language models, but its token-level learning signals remain poorly understood. This work studies their heterogeneity through attention entropy, which measures how concentrated or diffuse the contextual support is for each response token. We first show that token-level RL objectives are sparsely estimable: uniformly random 20 percent token subsets preserve much of the full-token held-out performance, suggesting substantial redundancy in token-level updates. However, entropy-structured subsets behave very differently. Low-attention-entropy tokens, which we call anchors, rely on concentrated support, produce stable gradients aligned with full-token updates, and provide a reliable optimization backbone, but tend to plateau on harder benchmarks. High-attention-entropy tokens, which we call explorers, aggregate more diffuse context and induce larger but more volatile gradients. Explorer-only training is unstable on average, though rare successful runs suggest that these tokens may contain useful hard-reasoning signals when optimization remains stable. We support this anchor-explorer spectrum with evidence-gathering analyses, entropy dynamics, gradient-geometry diagnostics, and controls showing that position, predictive entropy, and loss normalization do not explain the observed asymmetry. Finally, a dynamic entropy-aware soft-reweighting intervention improves Qwen3-8B-Base from 34.39 to 37.40 held-out average in the strongest setting. These findings suggest that attention entropy reveals optimization-relevant structure in token-level RL signals, and that uniform token averaging can obscure meaningful heterogeneity in reasoning post-training.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 15 of its 17 references that are in the map. First posted on arXiv 8 May 2026.

Builds on

15 of 17 references.

Closest ancestors · 8

Same direction, newest first

  1. 2026Where Hindsight Credit Can Reside: A Signed-Capacity View of Token Updates in RLVR13 Apr
  2. 2026Sparse but Critical: A Token-Level Analysis of Distributional Shifts in RLVR Fine-Tuning of LLMs23 Mar
  3. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
  4. 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Models28 May
  5. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  6. 2025Process Reinforcement through Implicit Rewards3 Feb
  7. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
  8. 2023Let's Verify Step by Step31 May

Other references · 7

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  2. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  3. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  4. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,136
  5. 2024DPO Meets PPO: Reinforced Token Optimization for RLHFcited by 127
  6. 2024DRAGIN: Dynamic Retrieval Augmented Generation based on the Information Needs of Large Language Modelscited by 63
  7. 2024Attention Entropy is a Key Factor: An Analysis of Parallel Context Encoding with Full-attention-based Pre-trained Language Modelscited by 26

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026GMTS: Gradient Magnitude-based Token Selection Improves RLVR Training for LLM Reasoning
  2. 2025Beyond High-Entropy Exploration: Correctness-Aware Low-Entropy Segment-Based Advantage Shaping for Reasoning LLMs
  3. 2025Diversity or Precision? A Deep Dive into Next Token Prediction
  4. 2025Stabilizing Knowledge, Promoting Reasoning: Dual-Token Constraints for RLVR
  5. 2025Revisiting Entropy in Reinforcement Learning for Large Reasoning Models
  6. 2026Rethinking RL for LLM Reasoning: It's Sparse Policy Selection, Not Capability Learning
  7. 2026Which Tokens Matter? Adaptive Token Selection for RLVR with the Relative Surprisal Index
  8. 2026Beyond Entropy: Learning from Token-Level Distributional Deviations for LLM Reasoning