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20122026
most citedOn the Complexity of Best Arm Identification in Multi-Armed Bandit Models

688 citations · 1.3k across the 44 of their papers we have counts for

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22 papers · 1 filter

stat.ML2023

Towards Instance-Optimality in Online PAC Reinforcement Learning

Aymen Al-Marjani, Andrea Tirinzoni, Emilie Kaufmann

Several recent works have proposed instance-dependent upper bounds on the number of episodes needed to identify, with probability , an -optimal policy in finite-h…

stat.ML2023★ 3 cited

Adaptive Algorithms for Relaxed Pareto Set Identification

Cyrille Kone, Emilie Kaufmann, Laura Richert

In this paper we revisit the fixed-confidence identification of the Pareto optimal set in a multi-objective multi-armed bandit model. As the sample complexity to identify the exact…

stat.ML2023

An -Best-Arm Identification Algorithm for Fixed-Confidence and Beyond

Marc Jourdan, Rémy Degenne, Emilie Kaufmann

We propose EB-TC, a novel sampling rule for -best arm identification in stochastic bandits. It is the first instance of Top Two algorithm analyzed for app…

stat.ML2022★ 2 cited

Dealing with Unknown Variances in Best-Arm Identification

Marc Jourdan, Rémy Degenne, Emilie Kaufmann

The problem of identifying the best arm among a collection of items having Gaussian rewards distribution is well understood when the variances are known. Despite its practical rele…

stat.ML2022★ 2 cited

Top Two Algorithms Revisited

Marc Jourdan, Rémy Degenne, Dorian Baudry +2

Top Two algorithms arose as an adaptation of Thompson sampling to best arm identification in multi-armed bandit models (Russo, 2016), for parametric families of arms. They select t…

stat.ML2020★ 5 cited

Sub-sampling for Efficient Non-Parametric Bandit Exploration

Dorian Baudry, Emilie Kaufmann, Odalric-Ambrym Maillard

In this paper we propose the first multi-armed bandit algorithm based on re-sampling that achieves asymptotically optimal regret simultaneously for different families of arms (name…