Residual Policy Gradient: A Reward View of KL-regularized Objective

Fuente: arXiv
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Autori principali: Wang, Pengcheng, Zhu, Xinghao, Chen, Yuxin, Xu, Chenfeng, Tomizuka, Masayoshi, Li, Chenran
Natura: Preprint
Pubblicazione: 2025
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author Wang, Pengcheng
Zhu, Xinghao
Chen, Yuxin
Xu, Chenfeng
Tomizuka, Masayoshi
Li, Chenran
author_facet Wang, Pengcheng
Zhu, Xinghao
Chen, Yuxin
Xu, Chenfeng
Tomizuka, Masayoshi
Li, Chenran
contents Reinforcement Learning and Imitation Learning have achieved widespread success in many domains but remain constrained during real-world deployment. One of the main issues is the additional requirements that were not considered during training. To address this challenge, policy customization has been introduced, aiming to adapt a prior policy while preserving its inherent properties and meeting new task-specific requirements. A principled approach to policy customization is Residual Q-Learning (RQL), which formulates the problem as a Markov Decision Process (MDP) and derives a family of value-based learning algorithms. However, RQL has not yet been applied to policy gradient methods, which restricts its applicability, especially in tasks where policy gradient has already proven more effective. In this work, we first derive a concise form of Soft Policy Gradient as a preliminary. Building on this, we introduce Residual Policy Gradient (RPG), which extends RQL to policy gradient methods, allowing policy customization in gradient-based RL settings. With the view of RPG, we rethink the KL-regularized objective widely used in RL fine-tuning. We show that under certain assumptions, KL-regularized objective leads to a maximum-entropy policy that balances the inherent properties and task-specific requirements on a reward-level. Our experiments in MuJoCo demonstrate the effectiveness of Soft Policy Gradient and Residual Policy Gradient.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11019
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Residual Policy Gradient: A Reward View of KL-regularized Objective
Wang, Pengcheng
Zhu, Xinghao
Chen, Yuxin
Xu, Chenfeng
Tomizuka, Masayoshi
Li, Chenran
Machine Learning
Reinforcement Learning and Imitation Learning have achieved widespread success in many domains but remain constrained during real-world deployment. One of the main issues is the additional requirements that were not considered during training. To address this challenge, policy customization has been introduced, aiming to adapt a prior policy while preserving its inherent properties and meeting new task-specific requirements. A principled approach to policy customization is Residual Q-Learning (RQL), which formulates the problem as a Markov Decision Process (MDP) and derives a family of value-based learning algorithms. However, RQL has not yet been applied to policy gradient methods, which restricts its applicability, especially in tasks where policy gradient has already proven more effective. In this work, we first derive a concise form of Soft Policy Gradient as a preliminary. Building on this, we introduce Residual Policy Gradient (RPG), which extends RQL to policy gradient methods, allowing policy customization in gradient-based RL settings. With the view of RPG, we rethink the KL-regularized objective widely used in RL fine-tuning. We show that under certain assumptions, KL-regularized objective leads to a maximum-entropy policy that balances the inherent properties and task-specific requirements on a reward-level. Our experiments in MuJoCo demonstrate the effectiveness of Soft Policy Gradient and Residual Policy Gradient.
title Residual Policy Gradient: A Reward View of KL-regularized Objective
topic Machine Learning
url https://arxiv.org/abs/2503.11019