Bellman Error Centering

Fuente: arXiv
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Auteurs principaux: Chen, Xingguo, Gong, Yu, Yang, Shangdong, Wang, Wenhao
Format: Preprint
Publié: 2025
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author Chen, Xingguo
Gong, Yu
Yang, Shangdong
Wang, Wenhao
author_facet Chen, Xingguo
Gong, Yu
Yang, Shangdong
Wang, Wenhao
contents This paper revisits the recently proposed reward centering algorithms including simple reward centering (SRC) and value-based reward centering (VRC), and points out that SRC is indeed the reward centering, while VRC is essentially Bellman error centering (BEC). Based on BEC, we provide the centered fixpoint for tabular value functions, as well as the centered TD fixpoint for linear value function approximation. We design the on-policy CTD algorithm and the off-policy CTDC algorithm, and prove the convergence of both algorithms. Finally, we experimentally validate the stability of our proposed algorithms. Bellman error centering facilitates the extension to various reinforcement learning algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03104
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bellman Error Centering
Chen, Xingguo
Gong, Yu
Yang, Shangdong
Wang, Wenhao
Machine Learning
Artificial Intelligence
This paper revisits the recently proposed reward centering algorithms including simple reward centering (SRC) and value-based reward centering (VRC), and points out that SRC is indeed the reward centering, while VRC is essentially Bellman error centering (BEC). Based on BEC, we provide the centered fixpoint for tabular value functions, as well as the centered TD fixpoint for linear value function approximation. We design the on-policy CTD algorithm and the off-policy CTDC algorithm, and prove the convergence of both algorithms. Finally, we experimentally validate the stability of our proposed algorithms. Bellman error centering facilitates the extension to various reinforcement learning algorithms.
title Bellman Error Centering
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2502.03104