arXiv:2603.28204cs.LGcs.AI2026-03被引 3

通过细粒度调控推理过程中的熵值,让大模型少走弯路、更高效地思考。

ERPO: Token-Level Entropy-Regulated Policy Optimization for Large Reasoning Models

  • 在关键决策点动态增强探索,避免模型过早陷入低效路径
  • 在数学推理任务上准确率显著高于传统方法,且推理路径更短更稳
  • 适合追求高效、高质量推理的AI研究者与开发者

基于可验证奖励的强化学习显著提升了大语言模型的推理能力。然而,组相对策略优化(GRPO)通常对所有标记赋予统一的序列级优势,忽略了推理链中固有的信息异质性。我们发现这种粗粒度的信用分配导致熵值过早坍缩,促使模型生成冗余且低质量的推理路径。通过系统性实证分析,我们识别出关键决策转折点(CDPs):策略轨迹最敏感的瞬时高熵状态,是多路径探索最关键的节点,却常被均匀优势信号抑制。基于此,我们提出熵调控策略优化(ERPO),将优化焦点从粗粒度序列转向细粒度标记动态。ERPO包含三个协同组件:(i) 基于熵感知的门控机制,自适应放大在CDPs处的探索以促进多样路径发现;(ii) 基于桶的隐式归一化,通过对齐标记进展窗口缓解难度偏差;(iii) 结果锚定的优势合成,通过结果驱动的锚点重新加权标记级信号。在多个竞争性数学基准上的大量实验表明,ERPO显著优于GRPO。值得注意的是,ERPO不仅提升推理准确率,还生成更简洁、更鲁棒的推导路径,且性能媲美参数量大几个数量级的大型模型。

原文摘要 · Abstract (English)

Reinforcement learning from verifiable rewards has significantly advanced the reasoning capabilities of large language models. However, Group Relative Policy Optimization (GRPO) typically assigns a uniform, sequence-level advantage to all tokens, thereby overlooking the intrinsic information heterogeneity along reasoning chains. We show that this coarse-grained credit assignment leads to premature entropy collapse and encourages the model to generate redundant, low-quality reasoning paths. Through systematic empirical analysis, we identify Critical Decision Pivots (CDPs): transient high-entropy states where the policy's trajectory is most sensitive to perturbations. These pivots represent the "forks in the road" where effective multi-path exploration is most crucial yet often suppressed by uniform advantage signals. Building on these insights, we propose Entropy-Regulated Policy Optimization (ERPO), which transitions the optimization focus from coarse sequences to fine-grained token dynamics. ERPO introduces three synergistic components: (i) Entropy-aware Gating, which adaptively amplifies exploration at CDPs to facilitate diverse path discovery; (ii) Bucket-based Implicit Normalization, which mitigates difficulty bias by aligning token progress windows; and (iii) Result-anchored Advantage Synthesis, which re-weights token-level signals via outcome-driven anchors. Extensive experiments on competitive mathematical benchmarks demonstrate that ERPO significantly outperforms GRPO. Notably, ERPO not only boosts reasoning accuracy but also yields significantly more concise and robust derivation paths, while achieving performance comparable to large models with orders of magnitude more parameters.

强化学习推理优化大模型

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