Learning with a Budget: Identifying the Best Arm with Resource Constraints

Fuente: arXiv
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Main Authors: Li, Zitian, Cheung, Wang Chi
Format: Preprint
Published: 2026
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author Li, Zitian
Cheung, Wang Chi
author_facet Li, Zitian
Cheung, Wang Chi
contents In many applications, evaluating the effectiveness of different alternatives comes with varying costs or resource usage. Motivated by such heterogeneity, we study the Best Arm Identification with Resource Constraints (BAIwRC) problem, where an agent seeks to identify the best alternative (aka arm) in the presence of resource constraints. Each arm pull consumes one or more types of limited resources. We make two key contributions. First, we propose the Successive Halving with Resource Rationing (SH-RR) algorithm, which integrates resource-aware allocation into the classical successive halving framework on best arm identification. The SH-RR algorithm unifies the theoretical analysis for both the stochastic and deterministic consumption settings, with a new \textit{effective consumption measure
format Preprint
id arxiv_https___arxiv_org_abs_2602_24146
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning with a Budget: Identifying the Best Arm with Resource Constraints
Li, Zitian
Cheung, Wang Chi
Machine Learning
In many applications, evaluating the effectiveness of different alternatives comes with varying costs or resource usage. Motivated by such heterogeneity, we study the Best Arm Identification with Resource Constraints (BAIwRC) problem, where an agent seeks to identify the best alternative (aka arm) in the presence of resource constraints. Each arm pull consumes one or more types of limited resources. We make two key contributions. First, we propose the Successive Halving with Resource Rationing (SH-RR) algorithm, which integrates resource-aware allocation into the classical successive halving framework on best arm identification. The SH-RR algorithm unifies the theoretical analysis for both the stochastic and deterministic consumption settings, with a new \textit{effective consumption measure
title Learning with a Budget: Identifying the Best Arm with Resource Constraints
topic Machine Learning
url https://arxiv.org/abs/2602.24146