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Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimization

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The reasoning pattern of Large language models (LLMs) remains opaque, and reinforcement learning (RL) typically applies uniform credit across an entire generation, blurring the distinction between pivotal and routine steps. This work positions attention as a privileged substrate that renders the internal logic of LLMs legible, not merely as a byproduct of computation, but as a mechanistic blueprint of reasoning itself. We first distinguish attention heads between locally and globally focused information processing and reveal that locally focused heads produce a sawtooth pattern near the diagonal indicating phrasal chunks, while globally focused heads expose tokens that exert broad downstream influence over future tokens. We formalize these with two metrics: 1) Windowed Average Attention Distance, which measures the extent of backward attention within a clipped window; 2) Future Attention Influence, which quantifies a token's global importance as the average attention it receives from subsequent tokens. Taken together, these signals reveal a recurring preplan-and-anchor mechanism, where the model first performs a long-range contextual reference to generate an introductory token, which is immediately followed by or coincides with a semantic anchor token that organizes subsequent reasoning. Leveraging these insights, we introduce three novel RL strategies that dynamically perform targeted credit assignment to critical nodes (preplan tokens, anchor tokens, and their temporal coupling) and show consistent performance gains across various reasoning tasks. By aligning optimization with the model's intrinsic reasoning rhythm, we aim to transform opaque optimization into an actionable structure-aware process, hoping to offer a potential step toward more transparent and effective optimization of LLM reasoning.

Yang Li, Zhichen Dong, Yuhan Sun, Weixun Wang, Shaopan Xiong, Yijia Luo, Jiashun Liu, Han Lu, Jiamang Wang, Wenbo Su, Bo Zheng, Junchi Yan• 2025

Related benchmarks

TaskDatasetResultRank
Mathematical ReasoningAIME 2024 (test)--
294
Mathematical ReasoningAIME 2025 (test)--
191
Mathematical ReasoningMATH500
Accuracy85.9
124
Mathematical ReasoningAMC23
Mean Accuracy66.1
42
Mathematical ReasoningOlympiadBench
Accuracy55.5
38
Math ReasoningMath Reasoning Evaluation Suite (Math-500, AMC23, GSM8k, Minerva, Olympiad)
Math-5008.2
34
Logical reasoningCountdown
Accuracy60.4
31
Mathematical ReasoningOlympiad (test)--
27
Arithmetic ReasoningCountdown
Accuracy63.1
25
Mathematical ReasoningAMC 2023 (test)
Pass@1 Rate65.4
18
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