Batched Multi-armed Bandits Problem
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Abstract (arXiv)
In this paper, we study the multi-armed bandit problem in the batched setting where the employed policy must split data into a small number of batches. While the minimax regret for the two-armed stochastic bandits has been completely characterized in citeperchet2016batched, the effect of the number of arms on the regret for the multi-armed case is still open. Moreover, the question whether adaptively chosen batch sizes will help to reduce the regret also remains underexplored. In this paper, we propose the BaSE (batched successive elimination) policy to achieve the rate-optimal regrets (within logarithmic factors) for batched multi-armed bandits, with matching lower bounds even if the batch sizes are determined in an adaptive manner.
Key facts. Cited by 97 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Apr 2019.
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Citing papers per year: 2021: 19; 2022: 17; 2023: 17; 2024: 16; 2025: 17; 2026: 11.
97 papers.
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- 2021Provably Efficient Reinforcement Learning with Linear Function Approximation Under Adaptivity Constraintscited by 124
- 2021Recent Advances in Reinforcement Learning in Financecited by 102
- 2021Federated Linear Contextual Banditscited by 61
- 2024Feedback Efficient Online Fine-Tuning of Diffusion Modelscited by 52
- 2022The Sample Complexity of Online Contract Designcited by 35
- 2022Sample-Efficient Reinforcement Learning with loglog(T) Switching Costcited by 32
- 2025FOCUS: Efficient Keyframe Selection for Long Video Understandingcited by 30
- 2021Differentially Private Multi-Armed Bandits in the Shuffle Modelcited by 24
- 2021Batched Neural Banditscited by 22
- 2022Replicable Banditscited by 22
- 2024Generalized Linear Bandits with Limited Adaptivitycited by 22
- 2021Lipschitz Bandits with Batched Feedbackcited by 21
38 more
- 2021Parallelizing Thompson Samplingcited by 20
- 2021Batched Thompson Samplingcited by 19
- 2022Contexts can be Cheap: Solving Stochastic Contextual Bandits with Linear Bandit Algorithmscited by 19
- 2021An Algorithm for Stochastic and Adversarial Bandits with Switching Costscited by 18
- 2022Distributed Contextual Linear Bandits with Minimax Optimal Communication Costcited by 13
- 2022Better Best of Both Worlds Bounds for Bandits with Switching Costscited by 13
- 2022Near-Optimal Deployment Efficiency in Reward-Free Reinforcement Learning with Linear Function Approximationcited by 13
- 2022Near-Optimal Regret Bounds for Multi-batch Reinforcement Learningcited by 13
- 2021Diffusion Approximations for Thompson Sampling in the Small Gap Regimecited by 12
- 2022A Sharp Memory-Regret Trade-Off for Multi-Pass Streaming Banditscited by 12
- 2023Policy Finetuning in Reinforcement Learning via Design of Experiments using Offline Datacited by 11
- 2022Batched Dueling Banditscited by 10
- 2021Almost Optimal Batch-Regret Tradeoff for Batch Linear Contextual Banditscited by 9
- 2023A Lipschitz Bandits Approach for Continuous Hyperparameter Optimizationcited by 9
- 2023Logarithmic Switching Cost in Reinforcement Learning beyond Linear MDPscited by 8
- 2023Optimal Batched Best Arm Identificationcited by 8
- 2023An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Banditscited by 8
- 2021Online Learning of Energy Consumption for Navigation of Electric Vehiclescited by 7
- 2023A Reduction-based Framework for Sequential Decision Making with Delayed Feedbackcited by 7
- 2024Optimal Batched Linear Banditscited by 7
- 2024Infrequent Resolving Algorithm for Online Linear Programmingcited by 7
- 2022Bandits for Online Calibration: An Application to Content Moderation on Social Media Platformscited by 6
- 2023On-Demand Communication for Asynchronous Multi-Agent Banditscited by 6
- 2023Sequential Counterfactual Risk Minimizationcited by 6
- 2024Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual Banditscited by 6
- 2025Nightjar: Dynamic Adaptive Speculative Decoding for Large Language Models Servingcited by 6
- 2022Reward Imputation with Sketching for Contextual Batched Banditscited by 5
- 2023Langevin Thompson Sampling with Logarithmic Communication: Bandits and Reinforcement Learningcited by 5
- 2024Stochastic contextual bandits with graph feedback: from independence number to MAS numbercited by 5
- 2021Parallelizing Contextual Banditscited by 4
- 2021Safe Data Collection for Offline and Online Policy Learningcited by 4
- 2025Gap-Dependent Bounds for Federated Q-learningcited by 4
- 2021Asymptotic Performance of Thompson Sampling in the Batched Multi-Armed Banditscited by 3
- 2022The Impact of Batch Learning in Stochastic Linear Banditscited by 3
- 2023Cooperative Multi-agent Bandits: Distributed Algorithms with Optimal Individual Regret and Constant Communication Costscited by 3
- 2024Near-Optimal Reinforcement Learning with Self-Play under Adaptivity Constraintscited by 3
- 2024Batched Nonparametric Contextual Banditscited by 3
- 2024Adversarial Online Learning with Temporal Feedback Graphscited by 3
50 most cited of 97 All 97 (JSON)
- 2026Learning When to Update: A Near-Optimal Timing Bandit Approach29 Sep 2026
- 2026Memory--Batch Tradeoffs in Lipschitz Bandits8 Aug 2026
- 2026Contextual Slate GLM Bandits with Limited Adaptivity30 Jun 2026
- 2026Learning in Markovian bandits with non-observable states and constrained decision epochs25 Jun 2026
- 2026Bandits for Efficient Experimentation: Adapting to Control Group, Preferences, and Context Drifts8 Jun 2026
- 2026Practical and Optimal Algorithm for Linear Contextual Bandits with Rare Parameter Updates31 May 2026
- 2026Batched Stochastic Linear Bandits with 1-Bit Communication Constraints29 May 2026
- 2026Multi-Task Representation Learning for Conservative Linear Bandits12 May 2026
- 2026Multi-Drafter Speculative Decoding with Alignment Feedback7 Apr 2026
- 2026Few Batches or Little Memory, But Not Both: Simultaneous Space and Adaptivity Constraints in Stochastic Bandits14 Mar 2026
- 2026Batched Kernelized Bandits: Refinements and Extensions13 Mar 2026
- 2025Nightjar: Dynamic Adaptive Speculative Decoding for Large Language Models Serving27 Dec 2025
38 more
- 2025Multi-agent Adaptive Mechanism Design25 Dec 2025
- 2025Sample-Adaptivity Tradeoff in On-Demand Sampling19 Nov 2025
- 2025The Adaptivity Barrier in Batched Nonparametric Bandits: Sharp Characterization of the Price of Unknown Margin5 Nov 2025
- 2025FOCUS: Efficient Keyframe Selection for Long Video Understanding31 Oct 2025
- 2025Oracle-Efficient Combinatorial Semi-Bandits24 Oct 2025
- 2025Batched Bandits with Heavy-Tailed Rewards4 Oct 2025
- 2025Stochastic Matching Bandits with Rare Optimization Updates4 Sep 2025
- 2025Achieving Limited Adaptivity for Multinomial Logistic Bandits5 Aug 2025
- 2025Optimal and Practical Batched Linear Bandit Algorithm11 Jul 2025
- 2025Regret-Optimal Q-Learning with Low Cost for Single-Agent and Federated Reinforcement Learning5 Jun 2025
- 2025Optimization of Epsilon-Greedy Exploration3 Jun 2025
- 2025Batched Nonparametric Bandits via k-Nearest Neighbor UCB15 May 2025
- 2025Evolution of Information in Interactive Decision Making: A Case Study for Multi-Armed Bandits1 Mar 2025
- 2025A Near-optimal, Scalable and Parallelizable Framework for Stochastic Bandits Robust to Adversarial Corruptions and Beyond11 Feb 2025
- 2025Gap-Dependent Bounds for Federated Q-learning5 Feb 2025
- 2025Breaking the log(1/Delta2) Barrier: Better Batched Best Arm Identification with Adaptive Grids29 Jan 2025
- 2024Near-Optimal Reinforcement Learning with Shuffle Differential Privacy18 Nov 2024
- 2024The Traveling Bandit: A Framework for Bayesian Optimization with Movement Costs18 Oct 2024
- 2024Comparative Performance of Collaborative Bandit Algorithms: Effect of Sparsity and Exploration Intensity15 Oct 2024
- 2024Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual Bandits2 Oct 2024
- 2024Stochastic Bandits Robust to Adversarial Attacks16 Aug 2024
- 2024Infrequent Resolving Algorithm for Online Linear Programming1 Aug 2024
- 2024Adversarial Online Learning with Temporal Feedback Graphs30 Jun 2024
- 2024Optimal Batched Linear Bandits6 Jun 2024
- 2024A Batch Sequential Halving Algorithm without Performance Degradation1 Jun 2024
- 2024Batched Stochastic Bandit for Nondegenerate Functions9 May 2024
- 2024Generalized Linear Bandits with Limited Adaptivity10 Apr 2024
- 2024Batched Nonparametric Contextual Bandits27 Feb 2024
- 2024Feedback Efficient Online Fine-Tuning of Diffusion Models26 Feb 2024
- 2024Stochastic contextual bandits with graph feedback: from independence number to MAS number12 Feb 2024
- 2024Replicability is Asymptotically Free in Multi-armed Bandits12 Feb 2024
- 2024Near-Optimal Reinforcement Learning with Self-Play under Adaptivity Constraints2 Feb 2024
- 2023Best Arm Identification in Batched Multi-armed Bandit Problems21 Dec 2023
- 2023An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Bandits9 Nov 2023
- 2023Optimal Batched Best Arm Identification21 Oct 2023
- 2023Sample-Efficiency in Multi-Batch Reinforcement Learning: The Need for Dimension-Dependent Adaptivity2 Oct 2023
- 2023Cooperative Multi-agent Bandits: Distributed Algorithms with Optimal Individual Regret and Constant Communication Costs8 Aug 2023
- 2023Policy Finetuning in Reinforcement Learning via Design of Experiments using Offline Data10 Jul 2023
50 newest of 97 All 97 (JSON)
- 2024Feedback Efficient Online Fine-Tuning of Diffusion Modelscited by 52
- 2024Feedback Efficient Online Fine-Tuning of Diffusion Models26 Feb 2024
- 2021Provably Efficient Reinforcement Learning with Linear Function Approximation Under Adaptivity Constraintscited by 124
- 2021Recent Advances in Reinforcement Learning in Financecited by 102
- 2021Federated Linear Contextual Banditscited by 61
- 2022The Sample Complexity of Online Contract Designcited by 35
- 2022Sample-Efficient Reinforcement Learning with loglog(T) Switching Costcited by 32
- 2021Differentially Private Multi-Armed Bandits in the Shuffle Modelcited by 24
- 2021Batched Neural Banditscited by 22
- 2022Replicable Banditscited by 22
- 2024Generalized Linear Bandits with Limited Adaptivitycited by 22
- 2021Lipschitz Bandits with Batched Feedbackcited by 21
- 2021Parallelizing Thompson Samplingcited by 20
- 2021Batched Thompson Samplingcited by 19
12 most cited of 91 All 91 (JSON)
- 2026Learning When to Update: A Near-Optimal Timing Bandit Approach29 Sep 2026
- 2026Memory--Batch Tradeoffs in Lipschitz Bandits8 Aug 2026
- 2026Contextual Slate GLM Bandits with Limited Adaptivity30 Jun 2026
- 2026Learning in Markovian bandits with non-observable states and constrained decision epochs25 Jun 2026
- 2026Bandits for Efficient Experimentation: Adapting to Control Group, Preferences, and Context Drifts8 Jun 2026
- 2026Practical and Optimal Algorithm for Linear Contextual Bandits with Rare Parameter Updates31 May 2026
- 2026Batched Stochastic Linear Bandits with 1-Bit Communication Constraints29 May 2026
- 2026Multi-Task Representation Learning for Conservative Linear Bandits12 May 2026
- 2026Few Batches or Little Memory, But Not Both: Simultaneous Space and Adaptivity Constraints in Stochastic Bandits14 Mar 2026
- 2026Batched Kernelized Bandits: Refinements and Extensions13 Mar 2026
- 2025Multi-agent Adaptive Mechanism Design25 Dec 2025
- 2025Sample-Adaptivity Tradeoff in On-Demand Sampling19 Nov 2025
12 newest of 91 All 91 (JSON)