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arXiv 2602.00636cs.LGcs.SYeess.SY
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在安全探索中可行区域与不确定模型之间的平衡

On the Equilibrium between Feasible Zone and Uncertain Model in Safe Exploration

School of Vehicle and Mobility and State Key Lab of Intelligent Green Vehicle and Mobility, Tsinghua University, Beijing, 100084, China(车辆与移动系统学院和智能绿色车辆与移动系统国家重点实验室,清华大学,北京,100084,中国)

Yujie Yang, Zhilong Zheng, Shengbo Eben Li

AI总结:

本文提出安全平衡探索框架SEE,通过交替寻找最大可行区域和最不确定的模型,证明其在安全探索中达到平衡。实验显示算法能零约束违规扩展可行区域。

摘要:

确保环境探索的安全性是强化学习(RL)中的关键问题。虽然限制探索到可行区域已成为确保安全的常用方法,但关键问题仍未解决:通过探索能实现的最大可行区域是什么,如何识别?本文首次回答这些问题,揭示安全探索的目标是找到可行区域与环境模型之间的平衡。这一结论基于对两者相互依赖性的理解:更大的可行区域导致更准确的环境模型,更准确的模型反过来允许探索更大的区域。我们提出了首个以平衡为导向的安全探索框架,称为安全平衡探索(SEE),通过交替寻找最大可行区域和最不确定的模型。使用不确定模型的图表示,我们证明通过SEE获得的不确定模型是单调细化的,可行区域单调扩展,并最终收敛到安全探索的平衡。在经典控制任务上的实验表明,我们的算法能够以零约束违规的方式扩展可行区域,并在几次迭代内达到安全探索的平衡。

英文摘要:

Ensuring the safety of environmental exploration is a critical problem in reinforcement learning (RL). While limiting exploration to a feasible zone has become widely accepted as a way to ensure safety, key questions remain unresolved: what is the maximum feasible zone achievable through exploration, and how can it be identified? This paper, for the first time, answers these questions by revealing that the goal of safe exploration is to find the equilibrium between the feasible zone and the environment model. This conclusion is based on the understanding that these two components are interdependent: a larger feasible zone leads to a more accurate environment model, and a more accurate model, in turn, enables exploring a larger zone. We propose the first equilibrium-oriented safe exploration framework called safe equilibrium exploration (SEE), which alternates between finding the maximum feasible zone and the least uncertain model. Using a graph formulation of the uncertain model, we prove that the uncertain model obtained by SEE is monotonically refined, the feasible zones monotonically expand, and both converge to the equilibrium of safe exploration. Experiments on classic control tasks show that our algorithm successfully expands the feasible zones with zero constraint violation, and achieves the equilibrium of safe exploration within a few iterations.

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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