arXiv:2506.05953cs.LG2025-06

提出新算法C-PG,能稳定训练出满足约束的确定性策略。

Learning Deterministic Policies with Policy Gradients in Constrained Markov Decision Processes

  • 不依赖探索机制,直接优化策略参数
  • 在特定噪声模型下可收敛到最优确定性策略
  • 适合需高可靠性的连续控制场景

受限强化学习(CRL)解决序列决策问题,要求智能体在最大化期望回报的同时满足领域约束。基于策略的方法因在连续控制任务中的优势而被广泛应用,其通过动作或参数层面的探索策略在策略空间中搜索。本文提出一种无需依赖探索机制的算法C-PG,其在梯度主导假设下具有全局最终迭代收敛性。进一步,在特定噪声模型下,当(超)策略为底层确定性策略的动作或参数的随机扰动时,C-PG同样可保证收敛至最优确定性策略。该方法通过学习随机(超)策略并最终关闭随机性,实现确定性策略部署。我们通过实验证明了C-PG的两种变体(基于动作的C-PGAE和基于参数的C-PGPE)在受限控制任务上的有效性,并与当前最优基线对比,尤其在训练后部署确定性策略时表现突出。

原文摘要 · Abstract (English)

Constrained Reinforcement Learning (CRL) addresses sequential decision-making problems where agents are required to achieve goals by maximizing the expected return while meeting domain-specific constraints. In this setting, policy-based methods are widely used thanks to their advantages when dealing with continuous-control problems. These methods search in the policy space with an action-based or a parameter-based exploration strategy, depending on whether they learn the parameters of a stochastic policy or those of a stochastic hyperpolicy. We introduce an exploration-agnostic algorithm, called C-PG, which enjoys global last-iterate convergence guarantees under gradient domination assumptions. Furthermore, under specific noise models where the (hyper)policy is expressed as a stochastic perturbation of the actions or of the parameters of an underlying deterministic policy, we additionally establish global last-iterate convergence guarantees of C-PG to the optimal deterministic policy. This holds when learning a stochastic (hyper)policy and subsequently switching off the stochasticity at the end of training, thereby deploying a deterministic policy. Finally, we empirically validate both the action-based (C-PGAE) and parameter-based (C-PGPE) variants of C-PG on constrained control tasks, and compare them against state-of-the-art baselines, demonstrating their effectiveness, in particular when deploying deterministic policies after training.

强化学习策略优化约束控制

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