用朗之万动力学直接采样软策略,提升强化学习探索效率。
Direct Soft-Policy Sampling via Langevin Dynamics
- 基于Q函数梯度的朗之万采样,无需参数化策略
- 多尺度噪声调节使采样在高维非凸空间快速收敛
- 适合追求高效探索的在线强化学习场景
强化学习中的软策略以状态-动作值函数的玻尔兹曼分布定义,为探索与利用提供理论平衡。但实际实现仍具挑战:现有方法或依赖表达能力有限的参数化策略,或采用扩散型策略,其不可计算的似然导致软策略目标中熵估计不可靠。本文提出直接通过朗之万动力学驱动的行动梯度实现软策略采样,形成朗之万Q学习(LQL),无需显式参数化策略即可从目标玻尔兹曼分布中采样。然而,直接应用朗之万动力学在高维、非凸的Q景观中存在混合缓慢问题。为此,提出噪声条件朗之万Q学习(NC-LQL),将多尺度噪声扰动融入价值函数,学习噪声条件下的Q函数,诱导一系列逐步平滑的价值景观,使采样由全局探索过渡至精细模式优化。在OpenAI Gym MuJoCo基准测试中,NC-LQL性能媲美最先进的扩散基方法,为在线强化学习提供简洁而强大的解决方案。
原文摘要 · Abstract (English)
Soft policies in reinforcement learning define policies as Boltzmann distributions over state-action value functions, providing a principled mechanism for balancing exploration and exploitation. However, realizing such soft policies in practice remains challenging. Existing approaches either depend on parametric policies with limited expressivity or employ diffusion-based policies whose intractable likelihoods hinder reliable entropy estimation in soft policy objectives. We address this challenge by directly realizing soft-policy sampling via Langevin dynamics driven by the action gradient of the Q-function. This perspective leads to Langevin Q-Learning (LQL), which samples actions from the target Boltzmann distribution without explicitly parameterizing the policy. However, directly applying Langevin dynamics suffers from slow mixing in high-dimensional and non-convex Q-landscapes, limiting its practical effectiveness. To overcome this, we propose Noise-Conditioned Langevin Q-Learning (NC-LQL), which integrates multi-scale noise perturbations into the value function. NC-LQL learns a noise-conditioned Q-function that induces a sequence of progressively smoothed value landscapes, enabling sampling to transition from global exploration to precise mode refinement. On OpenAI Gym MuJoCo benchmarks, NC-LQL achieves competitive performance compared to state-of-the-art diffusion-based methods, providing a simple yet powerful solution for online RL.
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