Spectral-Risk Safe Reinforcement Learning with Convergence Guarantees

Fuente: arXiv
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Autores principales: Kim, Dohyeong, Cho, Taehyun, Han, Seungyub, Chung, Hojun, Lee, Kyungjae, Oh, Songhwai
Formato: Preprint
Publicado: 2024
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author Kim, Dohyeong
Cho, Taehyun
Han, Seungyub
Chung, Hojun
Lee, Kyungjae
Oh, Songhwai
author_facet Kim, Dohyeong
Cho, Taehyun
Han, Seungyub
Chung, Hojun
Lee, Kyungjae
Oh, Songhwai
contents The field of risk-constrained reinforcement learning (RCRL) has been developed to effectively reduce the likelihood of worst-case scenarios by explicitly handling risk-measure-based constraints. However, the nonlinearity of risk measures makes it challenging to achieve convergence and optimality. To overcome the difficulties posed by the nonlinearity, we propose a spectral risk measure-constrained RL algorithm, spectral-risk-constrained policy optimization (SRCPO), a bilevel optimization approach that utilizes the duality of spectral risk measures. In the bilevel optimization structure, the outer problem involves optimizing dual variables derived from the risk measures, while the inner problem involves finding an optimal policy given these dual variables. The proposed method, to the best of our knowledge, is the first to guarantee convergence to an optimum in the tabular setting. Furthermore, the proposed method has been evaluated on continuous control tasks and showed the best performance among other RCRL algorithms satisfying the constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18698
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spectral-Risk Safe Reinforcement Learning with Convergence Guarantees
Kim, Dohyeong
Cho, Taehyun
Han, Seungyub
Chung, Hojun
Lee, Kyungjae
Oh, Songhwai
Machine Learning
Artificial Intelligence
The field of risk-constrained reinforcement learning (RCRL) has been developed to effectively reduce the likelihood of worst-case scenarios by explicitly handling risk-measure-based constraints. However, the nonlinearity of risk measures makes it challenging to achieve convergence and optimality. To overcome the difficulties posed by the nonlinearity, we propose a spectral risk measure-constrained RL algorithm, spectral-risk-constrained policy optimization (SRCPO), a bilevel optimization approach that utilizes the duality of spectral risk measures. In the bilevel optimization structure, the outer problem involves optimizing dual variables derived from the risk measures, while the inner problem involves finding an optimal policy given these dual variables. The proposed method, to the best of our knowledge, is the first to guarantee convergence to an optimum in the tabular setting. Furthermore, the proposed method has been evaluated on continuous control tasks and showed the best performance among other RCRL algorithms satisfying the constraints.
title Spectral-Risk Safe Reinforcement Learning with Convergence Guarantees
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2405.18698