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Autores principales: Dong, Chaosheng, Wang, Yijia
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2402.07246
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author Dong, Chaosheng
Wang, Yijia
author_facet Dong, Chaosheng
Wang, Yijia
contents This paper studies generalized inverse reinforcement learning (GIRL) in Markov decision processes (MDPs), that is, the problem of learning the basic components of an MDP given observed behavior (policy) that might not be optimal. These components include not only the reward function and transition probability matrices, but also the action space and state space that are not exactly known but are known to belong to given uncertainty sets. We address two key challenges in GIRL: first, the need to quantify the discrepancy between the observed policy and the underlying optimal policy; second, the difficulty of mathematically characterizing the underlying optimal policy when the basic components of an MDP are unobservable or partially observable. Then, we propose the mathematical formulation for GIRL and develop a fast heuristic algorithm. Numerical results on both finite and infinite state problems show the merit of our formulation and algorithm.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07246
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Towards Generalized Inverse Reinforcement Learning
Dong, Chaosheng
Wang, Yijia
Machine Learning
This paper studies generalized inverse reinforcement learning (GIRL) in Markov decision processes (MDPs), that is, the problem of learning the basic components of an MDP given observed behavior (policy) that might not be optimal. These components include not only the reward function and transition probability matrices, but also the action space and state space that are not exactly known but are known to belong to given uncertainty sets. We address two key challenges in GIRL: first, the need to quantify the discrepancy between the observed policy and the underlying optimal policy; second, the difficulty of mathematically characterizing the underlying optimal policy when the basic components of an MDP are unobservable or partially observable. Then, we propose the mathematical formulation for GIRL and develop a fast heuristic algorithm. Numerical results on both finite and infinite state problems show the merit of our formulation and algorithm.
title Towards Generalized Inverse Reinforcement Learning
topic Machine Learning
url https://arxiv.org/abs/2402.07246