arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.02555cs.LGcs.AI
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通过参数空间噪声学习探索:深入研究可验证奖励的强化学习

Learning to Explore with Parameter-Space Noise: A Deep Dive into Parameter-Space Noise for Reinforcement Learning with Verifiable Rewards

Shanghai Innovation Institute, Shanghai, China(上海创新研究院);College of Future Information Technology, Fudan University, Shanghai, China(未来信息科技学院,复旦大学);Shanghai AI Laboratory, Shanghai, China(上海人工智能实验室);The Chinese University of Hong Kong, Hong Kong, China(香港中文大学)

Bizhe Bai, Xinyue Wang, Peng Ye, Tao Chen

AI总结:

通过参数空间噪声提升探索能力,PSN-GRPO在多个基准中提升推理能力并超越传统探索方法。

摘要:

可验证奖励的强化学习(RLVR)提升了大语言模型的推理能力,但越来越多的证据表明存在探索上限:它往往重新加权现有解决方案轨迹而不是发现新策略,限制了在大采样预算下的收益(例如,256次通过)。我们通过PSN-RLVR解决了这一限制,该方法在轨迹生成前扰动策略参数,以诱导时间一致的轨迹级探索,比动作空间噪声更能保持长周期思维链的一致性。为了缓解由此产生的采样-更新不匹配,我们引入了截断重要性采样(TIS)。为了避免昂贵的KL基于自适应噪声控制,我们提出了一种计算高效的实时自适应噪声调度器,由一个轻量级代理结合语义多样性与归一化自信心。在GRPO(一种广泛使用的RLVR方法)上实例化,PSN-GRPO在多个数学推理基准和模型家族中一致扩展了有效的推理能力边界,在大采样预算下实现了更高的通过率,并在保持正交性的同时超越了以往的探索导向RLVR方法(如通过率k式训练)。

英文摘要:

Reinforcement Learning with Verifiable Rewards (RLVR) improves LLM reasoning, yet growing evidence indicates an exploration ceiling: it often reweights existing solution traces rather than discovering new strategies, limiting gains under large sampling budgets (e.g., pass-at-256). We address this limitation with PSN-RLVR, which perturbs policy parameters before rollout generation to induce temporally consistent, trajectory-level exploration that better preserves long-horizon chain-of-thought coherence than action-space noise. To mitigate the resulting sampling-update mismatch, we incorporate truncated importance sampling (TIS). To avoid expensive KL-based adaptive noise control, we propose a computationally efficient real-time adaptive noise scheduler driven by a lightweight surrogate that combines semantic diversity with normalized self-certainty. Instantiated on GRPO, a widely used RLVR method, PSN-GRPO consistently expands the effective reasoning capability boundary across multiple mathematical reasoning benchmarks and model families, yielding higher pass-at-k under large sampling budgets and outperforming prior exploration-oriented RLVR methods (e.g., Pass-at-k-style training) while remaining orthogonal and thus composable for additional gains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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