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Paper · arXiv

Best-Arm Identification with Generative Proxy

Best-arm identification is a canonical model for data-driven decision-making, but in many applications each reward observation is costly. Motivated by the growing availability of cheap predictions from machine learning and large language models, we study fixed-confidence best-arm identification in which each costly reward pull is paired with a cheap but correlated proxy score. The marginal mean of the proxy can be estimated offline and is treated as known, whereas its correlation $ρ$ with the reward, which governs how much the proxy helps, is unknown and must be learned online in pair with real rewards. We show that a control-variate adjustment turns this model into a heteroscedastic iden...

AuthorsTianyi Ma, Hanzhang Qin, Ruihao Zhu et al.
Primary categorycs.LG
Published8 July 2026
Last updated at source8 July 2026
cs.LGstat.ML
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