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New research details minimax and Bayes optimal best-arm identification strategy

A new research paper by Masahiro Kato introduces a novel strategy for best-arm identification in fixed-budget scenarios. The proposed adaptive procedure involves a two-stage sampling phase, starting with uniform allocation to eliminate suboptimal arms and estimate variances. This is followed by solving a Gaussian minimax game to determine a sampling policy and decision rule for the second stage. The strategy is proven to be simultaneously asymptotically minimax and Bayes optimal for simple regret, achieving upper bounds that match established lower bounds without requiring knowledge of outcome distributions or priors. AI

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New research details minimax and Bayes optimal best-arm identification strategy

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The cluster contains a single academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Masahiro Kato ·

    Minimax and Bayes Optimal Best-Arm Identification

    arXiv:2506.24007v5 Announce Type: replace-cross Abstract: This study investigates minimax and Bayes optimal strategies for fixed-budget best-arm identification. We consider an adaptive procedure consisting of a sampling phase followed by a recommendation phase, and we design an a…