Auto-exploration for online reinforcement learning

Fuente: arXiv
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Main Authors: Ju, Caleb, Lan, Guanghui
Format: Preprint
Published: 2025
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author Ju, Caleb
Lan, Guanghui
author_facet Ju, Caleb
Lan, Guanghui
contents The exploration-exploitation dilemma in reinforcement learning (RL) is a fundamental challenge to efficient RL algorithms. Existing algorithms for finite state and action discounted RL problems address this by assuming sufficient exploration over both state and action spaces. However, this yields non-implementable algorithms and sub-optimal performance. To resolve these limitations, we introduce a new class of methods with auto-exploration, or methods that automatically explore both state and action spaces in a parameter-free way, i.e.,~without a priori knowledge of problem-dependent parameters. We present two variants: one for the tabular setting and one for linear function approximation. Under algorithm-independent assumptions on the existence of an exploring optimal policy, both methods attain $O(ε^{-2})$ sample complexity to solve to $ε$ error. Crucially, these complexities are novel since they are void of algorithm-dependent parameters seen in prior works, which may be arbitrarily large. The methods are also simple to implement because they are parameter-free and do not directly estimate the unknown parameters. These feats are achieved by new algorithmic innovations for RL, including a dynamic mixing time, a discounted state distribution for sampling, a simple robust gradient estimator, and a recent advantage gap function to certify convergence.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06244
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Auto-exploration for online reinforcement learning
Ju, Caleb
Lan, Guanghui
Machine Learning
Artificial Intelligence
Optimization and Control
90C15, 90C30, 90C40 60J10, 68T05
The exploration-exploitation dilemma in reinforcement learning (RL) is a fundamental challenge to efficient RL algorithms. Existing algorithms for finite state and action discounted RL problems address this by assuming sufficient exploration over both state and action spaces. However, this yields non-implementable algorithms and sub-optimal performance. To resolve these limitations, we introduce a new class of methods with auto-exploration, or methods that automatically explore both state and action spaces in a parameter-free way, i.e.,~without a priori knowledge of problem-dependent parameters. We present two variants: one for the tabular setting and one for linear function approximation. Under algorithm-independent assumptions on the existence of an exploring optimal policy, both methods attain $O(ε^{-2})$ sample complexity to solve to $ε$ error. Crucially, these complexities are novel since they are void of algorithm-dependent parameters seen in prior works, which may be arbitrarily large. The methods are also simple to implement because they are parameter-free and do not directly estimate the unknown parameters. These feats are achieved by new algorithmic innovations for RL, including a dynamic mixing time, a discounted state distribution for sampling, a simple robust gradient estimator, and a recent advantage gap function to certify convergence.
title Auto-exploration for online reinforcement learning
topic Machine Learning
Artificial Intelligence
Optimization and Control
90C15, 90C30, 90C40 60J10, 68T05
url https://arxiv.org/abs/2512.06244