arXiv:2606.14536cs.LGcs.RO2026-06

提出可证明安全且可扩展的强化学习框架,解决传统方法难兼顾安全与效率的问题。

Provably Safe, Yet Scalable Reinforcement Learning

论文配图:Provably Safe, Yet Scalable Reinforcement Learning
图 1 · 摘自论文原文
  • 分两阶段训练:先学备份策略,再通过可微投影层优化主策略
  • 在10维状态空间上实现安全约束下的高效学习,性能优于已有方法
  • 无需修改现有训练流程,适合工业级机器人控制等高维场景

安全强化学习旨在学习在满足约束条件下最大化奖励的策略。主流方法依赖软约束优化,虽有良好实证表现但缺乏形式化安全保证;而具严格保障的方法通常依赖显式证书函数,其构造需直接合成与验证控制不变集,随状态维度增长而难以扩展,常导致过度保守行为。本文提出可证明安全且可扩展的强化学习(PS2-RL)框架,采用新颖的两阶段架构,在可扩展性上克服了先前方法的关键瓶颈。不同于显式计算不变集,PS2-RL利用学习到的备份策略对系统动力学进行前向积分,动态生成隐式控制不变集。第一阶段通过所提出的安全到达价值函数训练备份策略,以刻画最优备份策略用于不变集构建;第二阶段则通过可微投影层端到端训练强化学习策略,严格施加由备份策略诱导的安全保障。通过在第一阶段最大化隐式控制不变集体积,第二阶段得到的PS2策略兼具高性能与可扩展性,同时保持可证明安全性。关键优势在于,该框架对底层强化学习算法无限制,可无缝嵌入任意现有训练流程。我们建立了理论安全保障,并在状态维度高达10的机器人控制任务上进行了评估,此前基于证明的安全强化学习方法在此尺度下往往失效或不切实际。

原文摘要 · Abstract (English)

Safe reinforcement learning (RL) aims to learn policies that optimize rewards while satisfying constraints. Predominant approaches rely on soft-constrained policy optimization, which has achieved empirical success but does not provide formal safety guarantees for the learned policy. In contrast, methods with strict guarantees typically rely on explicit certificate functions, whose construction requires the direct synthesis and verification of control-invariant sets, a process that scales poorly with state dimension and often yields overly conservative behavior. In this paper, we present the Provably Safe, yet Scalable RL (PS2-RL) framework, a novel two-phase architecture for learning provably safe policies in a scalable manner, designed to overcome the key bottlenecks of prior methods. Rather than explicitly computing invariant sets, PS2-RL leverages a learned backup policy to forward-integrate the system dynamics, generating an implicit control-invariant set online. In the first phase, the backup policy is trained with our proposed safe-arrival value function, which characterizes the optimal backup policy for invariant-set construction. In the second phase, an RL policy is trained end-to-end through a differentiable projection layer that strictly enforces the safety guarantees induced by the learned backup policy. By maximizing the volume of the implicit control-invariant set in the first phase, the resulting PS2 policy from the second phase is performant and scalable, while maintaining provable safety. Crucially, PS2-RL imposes no restrictions on the underlying RL algorithm and can be plugged into any existing training pipeline. We establish theoretical guarantees for the proposed framework and evaluate it on robotic control tasks with state dimensions up to 10, a regime in which prior provably safe RL methods struggle or become impractical.

强化学习安全控制可扩展性机器人

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