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Multiple Identifications in Multi-Armed Bandits

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We study the problem of identifying the top $m$ arms in a multi-armed bandit game. Our proposed solution relies on a new algorithm based on successive rejects of the seemingly bad arms, and successive accepts of the good ones. This algorithmic contribution allows to tackle other multiple identifications settings that were previously out of reach. In particular we show that this idea of successive accepts and rejects applies to the multi-bandit best arm identification problem.

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stat.ME 1

years

2026 1

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UNVERDICTED 1

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Anytime-valid Optimal Policy Identification

stat.ME · 2026-06-16 · unverdicted · novelty 6.0

Constructs a time-indexed set S_t retaining the true optimal policy uniformly over time with high probability, enabling early stopping with sample complexity O((log |Π| + log log(1/Δ_min))/Δ_min²) when the optimum is unique.

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  • Anytime-valid Optimal Policy Identification stat.ME · 2026-06-16 · unverdicted · none · ref 33 · internal anchor

    Constructs a time-indexed set S_t retaining the true optimal policy uniformly over time with high probability, enabling early stopping with sample complexity O((log |Π| + log log(1/Δ_min))/Δ_min²) when the optimum is unique.