arXiv:2509.24261cs.AIcs.LG2025-09被引 11

用风险敏感强化学习提升大模型推理多样性。

Risk-Sensitive RL for Alleviating Exploration Dilemmas in Large Language Models

  • 设计风险追逐目标,平衡平均与最大奖励,促进深度探索。
  • 在六项数学推理任务上,pass@k显著提升,pass@1保持稳定。
  • 仅需少量代码修改,适配多种大模型和任务。

基于可验证奖励的强化学习(RLVR)在提升大语言模型(LLM)复杂推理能力方面表现优异。然而,现有方法存在探索困境:预训练模型初始策略尖锐集中,使标准强化学习算法局限于少数解法,虽提升单解准确率(pass@1),但抑制了解法多样性及多解性能(pass@k),导致RLVR常仅复现已有能力而非发现新推理策略。为此,本文提出风险敏感强化学习框架,采用风险追逐目标,在均值与最大奖励间插值,实现新算法风险敏感GRPO(RS-GRPO),通过放大对困难提示的学习,驱动更深入探索。该方法实现简单,仅需少量代码修改。在六项数学推理基准上,使用五种不同LLM测试,RS-GRPO始终提升pass@k表现,同时维持或增强pass@1准确率。

原文摘要 · Abstract (English)

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective for enhancing Large Language Models (LLMs) on complex reasoning tasks. However, existing methods suffer from an exploration dilemma: the sharply peaked initial policies of pre-trained LLMs confine standard RL algorithms to a narrow set of solutions, boosting single-solution accuracy (pass@1) but suppressing solution diversity and multi-solution performance (pass@k). As a result, RLVR often distills existing capabilities rather than discovering new reasoning strategies. To overcome this, we introduce a Risk-Sensitive Reinforcement Learning framework. Our approach employs a risk-seeking objective that interpolates between mean and maximum rewards, leading to a novel algorithm, Risk-Sensitive GRPO (RS-GRPO), which drives deeper exploration by amplifying learning from challenging prompts. Remarkably, RS-GRPO is simple to implement, requiring only minor code modifications. On six mathematical reasoning benchmarks and with five different LLMs, RS-GRPO consistently improves pass@k performance while maintaining or enhancing pass@1 accuracy.

强化学习大模型推理探索优化

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