arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.12243cs.LGcs.SYeess.SY

Joint Differentiable Optimization and Verification for Certified Reinforcement Learning

Northwestern University(西北大学);UC Berkeley(加州大学伯克利分校);University of Liverpool(利物浦大学);Yale University(耶鲁大学)

Yixuan Wang, Simon Zhan, Zhilu Wang, Chao Huang, Zhaoran Wang, Zhuoran Yang, Qi Zhu

英文摘要:

In model-based reinforcement learning for safety-critical control systems, it is important to formally certify system properties (e.g., safety, stability) under the learned controller. However, as existing methods typically apply formal verification \emph{after} the controller has been learned, it is sometimes difficult to obtain any certificate, even after many iterations between learning and verification. To address this challenge, we propose a framework that jointly conducts reinforcement learning and formal verification by formulating and solving a novel bilevel optimization problem, which is differentiable by the gradients from the value function and certificates. Experiments on a variety of examples demonstrate the significant advantages of our framework over the model-based stochastic value gradient (SVG) method and the model-free proximal policy optimization (PPO) method in finding feasible controllers with barrier functions and Lyapunov functions that ensure system safety and stability.

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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