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We consider the question introduced by \cite{Mason2020} of identifying all the $\varepsilon$-optimal arms in a finite stochastic multi-armed bandit with Gaussian rewards.
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Finding all \epsilon-good arms in stochastic bandits
Blake Mason, Lalit Jain, Ardhendu Tripathy, and Robert Nowak · 2020
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Non-Asymptotic Sequential Tests for Overlapping Hypotheses and application to near optimal arm identification in bandit models
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