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Paper · arXiv

Near-Optimal Stochastic Linear Bandits with Delay

We study stochastic linear bandits with delayed feedback under several delay models and establish near-optimal regret guarantees. Our results identify when delayed linear bandits exhibit the same qualitative behavior as multi-armed bandits (MAB), and when the linear structure creates fundamentally new challenges. Specifically, (1) for \emph{loss-independent delays}, where the delay does not depend on the realized loss (but potentially depends on the arm), we show that delays incur only an additive regret penalty. Under stochastic delays, this penalty scales with the expected delay, while under adversarial delays, it scales with the maximum number of outstanding observations. Notably, both...

AuthorsOfir Schlisselberg, Mengxiao Zhang, Yishay Mansour
Primary categorycs.LG
Published15 June 2026
Last updated at source15 June 2026
cs.LG
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