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Paper · arXiv

Expected Sample Complexity in Multi-Armed Bandits

Sample complexity is a widely used metric in sequential decision-making problems, defined as the number of suboptimal decisions during the interaction between the agent and an environment. We study the sample complexity of stochastic multi-armed bandit problems and introduce the expected sample complexity performance measure, analyzing it in a novel framework called approximately correct in expectation (ACE). We show that ACE guarantees imply almost sure convergence to the optimal expected reward, in contrast to high-probability guarantees found in other frameworks, and also show how to convert ACE guarantees into explicit expected regret bounds. We further show that, in contrast to exist...

AuthorsNadav Sukenik, Nadav Merlis
Primary categorycs.LG
Published7 October 2026
Last updated at source7 October 2026
cs.LGstat.ML
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