Extreme Value Policy Optimization for Safe Reinforcement Learning

Fuente: arXiv
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Hauptverfasser: Gao, Shiqing, Zhou, Yihang, Shao, Shuai, Luo, Haoyu, Bing, Yiheng, Ding, Jiaxin, Fu, Luoyi, Wang, Xinbing
Format: Preprint
Veröffentlicht: 2026
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author Gao, Shiqing
Zhou, Yihang
Shao, Shuai
Luo, Haoyu
Bing, Yiheng
Ding, Jiaxin
Fu, Luoyi
Wang, Xinbing
author_facet Gao, Shiqing
Zhou, Yihang
Shao, Shuai
Luo, Haoyu
Bing, Yiheng
Ding, Jiaxin
Fu, Luoyi
Wang, Xinbing
contents Ensuring safety is a critical challenge in applying Reinforcement Learning (RL) to real-world scenarios. Constrained Reinforcement Learning (CRL) addresses this by maximizing returns under predefined constraints, typically formulated as the expected cumulative cost. However, expectation-based constraints overlook rare but high-impact extreme value events in the tail distribution, such as black swan incidents, which can lead to severe constraint violations. To address this issue, we propose the Extreme Value policy Optimization (EVO) algorithm, leveraging Extreme Value Theory (EVT) to model and exploit extreme reward and cost samples, reducing constraint violations. EVO introduces an extreme quantile optimization objective to explicitly capture extreme samples in the cost tail distribution. Additionally, we propose an extreme prioritization mechanism during replay, amplifying the learning signal from rare but high-impact extreme samples. Theoretically, we establish upper bounds on expected constraint violations during policy updates, guaranteeing strict constraint satisfaction at a zero-violation quantile level. Further, we demonstrate that EVO achieves a lower probability of constraint violations than expectation-based methods and exhibits lower variance than quantile regression methods. Extensive experiments show that EVO significantly reduces constraint violations during training while maintaining competitive policy performance compared to baselines.
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id arxiv_https___arxiv_org_abs_2601_12008
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Extreme Value Policy Optimization for Safe Reinforcement Learning
Gao, Shiqing
Zhou, Yihang
Shao, Shuai
Luo, Haoyu
Bing, Yiheng
Ding, Jiaxin
Fu, Luoyi
Wang, Xinbing
Machine Learning
Ensuring safety is a critical challenge in applying Reinforcement Learning (RL) to real-world scenarios. Constrained Reinforcement Learning (CRL) addresses this by maximizing returns under predefined constraints, typically formulated as the expected cumulative cost. However, expectation-based constraints overlook rare but high-impact extreme value events in the tail distribution, such as black swan incidents, which can lead to severe constraint violations. To address this issue, we propose the Extreme Value policy Optimization (EVO) algorithm, leveraging Extreme Value Theory (EVT) to model and exploit extreme reward and cost samples, reducing constraint violations. EVO introduces an extreme quantile optimization objective to explicitly capture extreme samples in the cost tail distribution. Additionally, we propose an extreme prioritization mechanism during replay, amplifying the learning signal from rare but high-impact extreme samples. Theoretically, we establish upper bounds on expected constraint violations during policy updates, guaranteeing strict constraint satisfaction at a zero-violation quantile level. Further, we demonstrate that EVO achieves a lower probability of constraint violations than expectation-based methods and exhibits lower variance than quantile regression methods. Extensive experiments show that EVO significantly reduces constraint violations during training while maintaining competitive policy performance compared to baselines.
title Extreme Value Policy Optimization for Safe Reinforcement Learning
topic Machine Learning
url https://arxiv.org/abs/2601.12008