Batch Ensemble for Variance Dependent Regret in Stochastic Bandits

Fuente: arXiv
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Hauptverfasser: Cassel, Asaf, Levy, Orin, Mansour, Yishay
Format: Preprint
Veröffentlicht: 2024
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author Cassel, Asaf
Levy, Orin
Mansour, Yishay
author_facet Cassel, Asaf
Levy, Orin
Mansour, Yishay
contents Efficiently trading off exploration and exploitation is one of the key challenges in online Reinforcement Learning (RL). Most works achieve this by carefully estimating the model uncertainty and following the so-called optimistic model. Inspired by practical ensemble methods, in this work we propose a simple and novel batch ensemble scheme that provably achieves near-optimal regret for stochastic Multi-Armed Bandits (MAB). Crucially, our algorithm has just a single parameter, namely the number of batches, and its value does not depend on distributional properties such as the scale and variance of the losses. We complement our theoretical results by demonstrating the effectiveness of our algorithm on synthetic benchmarks.
format Preprint
id arxiv_https___arxiv_org_abs_2409_08570
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Batch Ensemble for Variance Dependent Regret in Stochastic Bandits
Cassel, Asaf
Levy, Orin
Mansour, Yishay
Machine Learning
Efficiently trading off exploration and exploitation is one of the key challenges in online Reinforcement Learning (RL). Most works achieve this by carefully estimating the model uncertainty and following the so-called optimistic model. Inspired by practical ensemble methods, in this work we propose a simple and novel batch ensemble scheme that provably achieves near-optimal regret for stochastic Multi-Armed Bandits (MAB). Crucially, our algorithm has just a single parameter, namely the number of batches, and its value does not depend on distributional properties such as the scale and variance of the losses. We complement our theoretical results by demonstrating the effectiveness of our algorithm on synthetic benchmarks.
title Batch Ensemble for Variance Dependent Regret in Stochastic Bandits
topic Machine Learning
url https://arxiv.org/abs/2409.08570