Bypassing the Monster: A Faster and Simpler Optimal Algorithm for Contextual Bandits under Realizability
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Abstract (arXiv)
We consider the general (stochastic) contextual bandit problem under the realizability assumption, i.e., the expected reward, as a function of contexts and actions, belongs to a general function class F. We design a fast and simple algorithm that achieves the statistically optimal regret with only O(log T) calls to an offline regression oracle across all T rounds. The number of oracle calls can be further reduced to O(loglog T) if T is known in advance. Our results provide the first universal and optimal reduction from contextual bandits to offline regression, solving an important open problem in the contextual bandit literature. A direct consequence of our results is that any advances in offline regression immediately translate to contextual bandits, statistically and computationally. This leads to faster algorithms and improved regret guarantees for broader classes of contextual bandit problems.
Key facts. Cited by 114 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Mar 2020.
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Citing papers per year: 2021: 17; 2022: 22; 2023: 24; 2024: 19; 2025: 17; 2026: 15.
114 papers.
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- 2021Recent Advances in Reinforcement Learning in Financecited by 102
- 2022Jump-Start Reinforcement Learningcited by 102
- 2021Non-stationary Reinforcement Learning without Prior Knowledge: An Optimal Black-box Approachcited by 98
- 2021Adapting to Misspecification in Contextual Banditscited by 81
- 2021Feel-Good Thompson Sampling for Contextual Bandits and Reinforcement Learningcited by 65
- 2021Efficient First-Order Contextual Bandits: Prediction, Allocation, and Triangular Discriminationcited by 53
- 2022Smoothed Online Learning is as Easy as Statistical Learningcited by 50
- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizabilitycited by 44
- 2021Provable Model-based Nonlinear Bandit and Reinforcement Learning: Shelve Optimism, Embrace Virtual Curvaturecited by 32
- 2022Contextual Bandits with Large Action Spaces: Made Practicalcited by 32
- 2022Contextual Bandits with Packing and Covering Constraints: A Modular Lagrangian Approach via Regressioncited by 30
- 2023Optimal Learners for Realizable Regression: PAC Learning and Online Learningcited by 23
38 more
- 2024Generalized Linear Bandits with Limited Adaptivitycited by 22
- 2021Adapting to Misspecification in Contextual Bandits with Offline Regression Oraclescited by 21
- 2022Efficient Active Learning with Abstentioncited by 21
- 2021Information Directed Sampling for Sparse Linear Banditscited by 20
- 2022Oracle-Efficient Online Learning for Beyond Worst-Case Adversariescited by 19
- 2023Bypassing the Simulator: Near-Optimal Adversarial Linear Contextual Banditscited by 18
- 2024LOLA: LLM-Assisted Online Learning Algorithm for Content Experimentscited by 18
- 2022Contextual Bandits with Smooth Regret: Efficient Learning in Continuous Action Spacescited by 17
- 2023Bayesian Design Principles for Frequentist Sequential Learningcited by 17
- 2022Contextual Information-Directed Samplingcited by 16
- 2022Instance-optimal PAC Algorithms for Contextual Banditscited by 16
- 2024Efficient Sequential Decision Making with Large Language Modelscited by 16
- 2021On component interactions in two-stage recommender systemscited by 14
- 2022Oracle Inequalities for Model Selection in Offline Reinforcement Learningcited by 13
- 2022Optimal Contextual Bandits with Knapsacks under Realizability via Regression Oraclescited by 12
- 2022Optimism in Face of a Context: Regret Guarantees for Stochastic Contextual MDPcited by 11
- 2021Risk Minimization from Adaptively Collected Data: Guarantees for Supervised and Policy Learningcited by 10
- 2022Learning Efficiently Function Approximation for Contextual MDPcited by 10
- 2023Practical Contextual Bandits with Feedback Graphscited by 10
- 2023Tracking Most Significant Shifts in Nonparametric Contextual Banditscited by 10
- 2022Eluder-based Regret for Stochastic Contextual MDPscited by 9
- 2023Efficient Rate Optimal Regret for Adversarial Contextual MDPs Using Online Function Approximationcited by 9
- 2024How Does Variance Shape the Regret in Contextual Bandits?cited by 9
- 2021Top-k eXtreme Contextual Bandits with Arm Hierarchycited by 8
- 2021Model Selection for Generic Contextual Banditscited by 7
- 2023Statistical Complexity and Optimal Algorithms for Non-linear Ridge Banditscited by 7
- 2023Smoothed Analysis of Sequential Probability Assignmentcited by 7
- 2023Proportional Response: Contextual Bandits for Simple and Cumulative Regret Minimizationcited by 7
- 2024Offline Oracle-Efficient Learning for Contextual MDPs via Layerwise Exploration-Exploitation Tradeoffcited by 7
- 2022Contextual Bandits in a Survey Experiment on Charitable Giving: Within-Experiment Outcomes versus Policy Learningcited by 6
- 2023Sequential Counterfactual Risk Minimizationcited by 6
- 2024Efficient Contextual Bandits with Uninformed Feedback Graphscited by 6
- 2024No-Regret is not enough! Bandits with General Constraints through Adaptive Regret Minimizationcited by 6
- 2025Single Index Bandits: Generalized Linear Contextual Bandits with Unknown Reward Functionscited by 6
- 2021Universal and data-adaptive algorithms for model selection in linear contextual banditscited by 5
- 2022Integrating Reward Maximization and Population Estimation: Sequential Decision-Making for Internal Revenue Service Audit Selectioncited by 5
- 2022Breaking the √T Barrier: Instance-Independent Logarithmic Regret in Stochastic Contextual Linear Banditscited by 5
- 2022Scalable Representation Learning in Linear Contextual Bandits with Constant Regret Guaranteescited by 5
50 most cited of 114 All 114 (JSON)
- 2026Nearly Minimax-Optimal Regret for Linear Contextual Bandits with Arbitrary Adaptive Action Sets14 Sep 2026
- 2026When Greedy Sampling Explores: KL-Regularized Contextual Bandits without Eluder-Dimension Dependence11 Sep 2026
- 2026Learning to Price and Stock Under Contextual and Censored Demand5 Sep 2026
- 2026Optimal and Efficient Contextual Combinatorial Semi-bandits with General Function Approximation15 Jul 2026
- 2026When Does Online Imitation Learning Help in LLM Post-Training? The Role of (Non-)Realizability Beyond Horizon29 Jun 2026
- 2026Near-Optimal Last-Iterate Convergence for Zero-Sum Games with Bandit Feedback and Opponent Actions10 May 2026
- 2026Regret-Oracle Complexity Tradeoffs in Agnostic Online Learning8 May 2026
- 2026RIE-Greedy: Regularization-Induced Exploration for Contextual Bandits11 Mar 2026
- 2026Near-Optimal Regret for Policy Optimization in Contextual MDPs with General Offline Function Approximation14 Feb 2026
- 2026Optimal Regret for Policy Optimization in Contextual Bandits14 Feb 2026
- 2026Taming the Monster Every Context: Complexity Measure and Unified Framework for Offline-Oracle Efficient Contextual Bandits10 Feb 2026
- 2026Interaction-Grounded Learning for Contextual Markov Decision Processes with Personalized Feedback9 Feb 2026
38 more
- 2026A Simple Reduction Scheme for Constrained Contextual Bandits with Adversarial Contexts via Regression4 Feb 2026
- 2026Fast Non-Episodic Finite-Horizon RL with K-Step Lookahead Thresholding31 Jan 2026
- 2026Tractable Multinomial Logit Contextual Bandits with Non-Linear Utilities11 Jan 2026
- 2025Multi-agent Adaptive Mechanism Design25 Dec 2025
- 2025Exploration via Feature Perturbation in Contextual Bandits20 Oct 2025
- 2025Fast Best-in-Class Regret for Contextual Bandits17 Oct 2025
- 2025Regret Bounds for Adversarial Contextual Bandits with General Function Approximation and Delayed Feedback10 Oct 2025
- 2025Variational Quantum Circuits in Offline Contextual Bandit Problems9 Sep 2025
- 2025Beyond ATE: Multi-Criteria Design for A/B Testing6 Sep 2025
- 2025Pre-Trained AI Model Assisted Online Decision-Making under Missing Covariates: A Theoretical Perspective10 Jul 2025
- 2025Single Index Bandits: Generalized Linear Contextual Bandits with Unknown Reward Functions15 Jun 2025
- 2025Tradeoffs between Mistakes and ERM Oracle Calls in Online and Transductive Online Learning30 May 2025
- 2025Scalable and Interpretable Contextual Bandits: A Literature Review and Retail Offer Prototype22 May 2025
- 2025Contextual Learning for Stochastic Optimization22 May 2025
- 2025Constrained Online Decision-Making: A Unified Framework11 May 2025
- 2025Greedy Algorithm for Structured Bandits: A Sharp Characterization of Asymptotic Success / Failure6 Mar 2025
- 2025Quantum Non-Linear Bandit Optimization4 Mar 2025
- 2025From Restless to Contextual: A Thresholding Bandit Reformulation For Finite-horizon Improvement7 Feb 2025
- 2025Learning to Price with Resource Constraints: From Full Information to Machine-Learned Prices24 Jan 2025
- 2025On The Statistical Complexity of Offline Decision-Making10 Jan 2025
- 2024Competing Bandits in Decentralized Contextual Matching Markets18 Nov 2024
- 2024How Does Variance Shape the Regret in Contextual Bandits?16 Oct 2024
- 2024Guarantees for Nonlinear Representation Learning: Non-identical Covariates, Dependent Data, Fewer Samples15 Oct 2024
- 2024Robust Offline Policy Learning with Observational Data from Multiple Sources11 Oct 2024
- 2024GuideLight: "Industrial Solution" Guidance for More Practical Traffic Signal Control Agents15 Jul 2024
- 2024Efficient Sequential Decision Making with Large Language Models17 Jun 2024
- 2024Is Efficient PAC Learning Possible with an Oracle That Responds 'Yes' or 'No'?17 Jun 2024
- 2024Incentivized Exploration with Stochastic Covariates: A Two-Stage Mechanism Design for Recommender System4 Jun 2024
- 2024LOLA: LLM-Assisted Online Learning Algorithm for Content Experiments3 Jun 2024
- 2024Provably Efficient Interactive-Grounded Learning with Personalized Reward31 May 2024
- 2024Offline Oracle-Efficient Learning for Contextual MDPs via Layerwise Exploration-Exploitation Tradeoff28 May 2024
- 2024No-Regret is not enough! Bandits with General Constraints through Adaptive Regret Minimization10 May 2024
- 2024Data-driven Error Estimation: Excess Risk Bounds without Class Complexity as Input7 May 2024
- 2024Online Planning of Power Flows for Power Systems Against Bushfires Using Spatial Context20 Apr 2024
- 2024On the Optimal Regret of Locally Private Linear Contextual Bandit15 Apr 2024
- 2024Generalized Linear Bandits with Limited Adaptivity10 Apr 2024
- 2024Efficient Contextual Bandits with Uninformed Feedback Graphs12 Feb 2024
- 2024Contextual Multinomial Logit Bandits with General Value Functions12 Feb 2024
50 newest of 114 All 114 (JSON)
- 2022Oracle Inequalities for Model Selection in Offline Reinforcement Learningcited by 13
- 2024Robust Offline Policy Learning with Observational Data from Multiple Sourcescited by 3
- 2026When Does Online Imitation Learning Help in LLM Post-Training? The Role of (Non-)Realizability Beyond Horizoncited by 2
- 2023Federated Offline Policy Learningcited by 0
- 2023Agnostic Interactive Imitation Learning: New Theory and Practical Algorithmscited by 0
- 2026When Does Online Imitation Learning Help in LLM Post-Training? The Role of (Non-)Realizability Beyond Horizon29 Jun 2026
- 2024Robust Offline Policy Learning with Observational Data from Multiple Sources11 Oct 2024
- 2023Agnostic Interactive Imitation Learning: New Theory and Practical Algorithms28 Dec 2023
- 2023Federated Offline Policy Learning21 May 2023
- 2022Oracle Inequalities for Model Selection in Offline Reinforcement Learning3 Nov 2022
- 2021Recent Advances in Reinforcement Learning in Financecited by 102
- 2022Jump-Start Reinforcement Learningcited by 102
- 2021Non-stationary Reinforcement Learning without Prior Knowledge: An Optimal Black-box Approachcited by 98
- 2021Adapting to Misspecification in Contextual Banditscited by 81
- 2021Feel-Good Thompson Sampling for Contextual Bandits and Reinforcement Learningcited by 65
- 2021Efficient First-Order Contextual Bandits: Prediction, Allocation, and Triangular Discriminationcited by 53
- 2022Smoothed Online Learning is as Easy as Statistical Learningcited by 50
- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizabilitycited by 44
- 2021Provable Model-based Nonlinear Bandit and Reinforcement Learning: Shelve Optimism, Embrace Virtual Curvaturecited by 32
- 2022Contextual Bandits with Large Action Spaces: Made Practicalcited by 32
- 2022Contextual Bandits with Packing and Covering Constraints: A Modular Lagrangian Approach via Regressioncited by 30
- 2023Optimal Learners for Realizable Regression: PAC Learning and Online Learningcited by 23
12 most cited of 106 All 106 (JSON)
- 2026Nearly Minimax-Optimal Regret for Linear Contextual Bandits with Arbitrary Adaptive Action Sets14 Sep 2026
- 2026When Greedy Sampling Explores: KL-Regularized Contextual Bandits without Eluder-Dimension Dependence11 Sep 2026
- 2026Learning to Price and Stock Under Contextual and Censored Demand5 Sep 2026
- 2026Optimal and Efficient Contextual Combinatorial Semi-bandits with General Function Approximation15 Jul 2026
- 2026Regret-Oracle Complexity Tradeoffs in Agnostic Online Learning8 May 2026
- 2026Near-Optimal Regret for Policy Optimization in Contextual MDPs with General Offline Function Approximation14 Feb 2026
- 2026Optimal Regret for Policy Optimization in Contextual Bandits14 Feb 2026
- 2026Taming the Monster Every Context: Complexity Measure and Unified Framework for Offline-Oracle Efficient Contextual Bandits10 Feb 2026
- 2026Interaction-Grounded Learning for Contextual Markov Decision Processes with Personalized Feedback9 Feb 2026
- 2026A Simple Reduction Scheme for Constrained Contextual Bandits with Adversarial Contexts via Regression4 Feb 2026
- 2026Fast Non-Episodic Finite-Horizon RL with K-Step Lookahead Thresholding31 Jan 2026
- 2026Tractable Multinomial Logit Contextual Bandits with Non-Linear Utilities11 Jan 2026
12 newest of 106 All 106 (JSON)