A Batch Sequential Halving Algorithm without Performance Degradation

Fuente: arXiv
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Autores principales: Koyamada, Sotetsu, Nishimori, Soichiro, Ishii, Shin
Formato: Preprint
Publicado: 2024
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author Koyamada, Sotetsu
Nishimori, Soichiro
Ishii, Shin
author_facet Koyamada, Sotetsu
Nishimori, Soichiro
Ishii, Shin
contents In this paper, we investigate the problem of pure exploration in the context of multi-armed bandits, with a specific focus on scenarios where arms are pulled in fixed-size batches. Batching has been shown to enhance computational efficiency, but it can potentially lead to a degradation compared to the original sequential algorithm's performance due to delayed feedback and reduced adaptability. We introduce a simple batch version of the Sequential Halving (SH) algorithm (Karnin et al., 2013) and provide theoretical evidence that batching does not degrade the performance of the original algorithm under practical conditions. Furthermore, we empirically validate our claim through experiments, demonstrating the robust nature of the SH algorithm in fixed-size batch settings.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00424
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Batch Sequential Halving Algorithm without Performance Degradation
Koyamada, Sotetsu
Nishimori, Soichiro
Ishii, Shin
Machine Learning
In this paper, we investigate the problem of pure exploration in the context of multi-armed bandits, with a specific focus on scenarios where arms are pulled in fixed-size batches. Batching has been shown to enhance computational efficiency, but it can potentially lead to a degradation compared to the original sequential algorithm's performance due to delayed feedback and reduced adaptability. We introduce a simple batch version of the Sequential Halving (SH) algorithm (Karnin et al., 2013) and provide theoretical evidence that batching does not degrade the performance of the original algorithm under practical conditions. Furthermore, we empirically validate our claim through experiments, demonstrating the robust nature of the SH algorithm in fixed-size batch settings.
title A Batch Sequential Halving Algorithm without Performance Degradation
topic Machine Learning
url https://arxiv.org/abs/2406.00424