SPQR: Controlling Q-ensemble Independence with Spiked Random Model for Reinforcement Learning

Fuente: arXiv
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Main Authors: Lee, Dohyeok, Han, Seungyub, Cho, Taehyun, Lee, Jungwoo
Format: Preprint
Published: 2024
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author Lee, Dohyeok
Han, Seungyub
Cho, Taehyun
Lee, Jungwoo
author_facet Lee, Dohyeok
Han, Seungyub
Cho, Taehyun
Lee, Jungwoo
contents Alleviating overestimation bias is a critical challenge for deep reinforcement learning to achieve successful performance on more complex tasks or offline datasets containing out-of-distribution data. In order to overcome overestimation bias, ensemble methods for Q-learning have been investigated to exploit the diversity of multiple Q-functions. Since network initialization has been the predominant approach to promote diversity in Q-functions, heuristically designed diversity injection methods have been studied in the literature. However, previous studies have not attempted to approach guaranteed independence over an ensemble from a theoretical perspective. By introducing a novel regularization loss for Q-ensemble independence based on random matrix theory, we propose spiked Wishart Q-ensemble independence regularization (SPQR) for reinforcement learning. Specifically, we modify the intractable hypothesis testing criterion for the Q-ensemble independence into a tractable KL divergence between the spectral distribution of the Q-ensemble and the target Wigner's semicircle distribution. We implement SPQR in several online and offline ensemble Q-learning algorithms. In the experiments, SPQR outperforms the baseline algorithms in both online and offline RL benchmarks.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03137
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle SPQR: Controlling Q-ensemble Independence with Spiked Random Model for Reinforcement Learning
Lee, Dohyeok
Han, Seungyub
Cho, Taehyun
Lee, Jungwoo
Machine Learning
Artificial Intelligence
Alleviating overestimation bias is a critical challenge for deep reinforcement learning to achieve successful performance on more complex tasks or offline datasets containing out-of-distribution data. In order to overcome overestimation bias, ensemble methods for Q-learning have been investigated to exploit the diversity of multiple Q-functions. Since network initialization has been the predominant approach to promote diversity in Q-functions, heuristically designed diversity injection methods have been studied in the literature. However, previous studies have not attempted to approach guaranteed independence over an ensemble from a theoretical perspective. By introducing a novel regularization loss for Q-ensemble independence based on random matrix theory, we propose spiked Wishart Q-ensemble independence regularization (SPQR) for reinforcement learning. Specifically, we modify the intractable hypothesis testing criterion for the Q-ensemble independence into a tractable KL divergence between the spectral distribution of the Q-ensemble and the target Wigner's semicircle distribution. We implement SPQR in several online and offline ensemble Q-learning algorithms. In the experiments, SPQR outperforms the baseline algorithms in both online and offline RL benchmarks.
title SPQR: Controlling Q-ensemble Independence with Spiked Random Model for Reinforcement Learning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2401.03137