Neural Thompson Sampling
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Abstract (arXiv)
Thompson Sampling (TS) is one of the most effective algorithms for solving contextual multi-armed bandit problems. In this paper, we propose a new algorithm, called Neural Thompson Sampling, which adapts deep neural networks for both exploration and exploitation. At the core of our algorithm is a novel posterior distribution of the reward, where its mean is the neural network approximator, and its variance is built upon the neural tangent features of the corresponding neural network. We prove that, provided the underlying reward function is bounded, the proposed algorithm is guaranteed to achieve a cumulative regret of O(T1/2), which matches the regret of other contextual bandit algorithms in terms of total round number T. Experimental comparisons with other benchmark bandit algorithms on various data sets corroborate our theory.
Key facts. Cited by 127 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Oct 2020.
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Citing papers per year: 2021: 16; 2022: 22; 2023: 19; 2024: 20; 2025: 28; 2026: 22.
127 papers.
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- 2022POEM: Out-of-Distribution Detection with Posterior Samplingcited by 108
- 2021Optimal Order Simple Regret for Gaussian Process Banditscited by 52
- 2024Efficient Exploration for LLMscited by 44
- 2021EE-Net: Exploitation-Exploration Neural Networks in Contextual Banditscited by 43
- 2021Neural Contextual Bandits without Regretcited by 40
- 2024Prompt Optimization with Human Feedbackcited by 35
- 2022Contextual Bandits with Large Action Spaces: Made Practicalcited by 32
- 2023Approximate Thompson Sampling via Epistemic Neural Networkscited by 31
- 2022A Provably Efficient Model-Free Posterior Sampling Method for Episodic Reinforcement Learningcited by 30
- 2023Use Your INSTINCT: INSTruction optimization for LLMs usIng Neural bandits Coupled with Transformerscited by 29
- 2023The Benefits of Being Distributional: Small-Loss Bounds for Reinforcement Learningcited by 27
- 2022Sample-Then-Optimize Batch Neural Thompson Samplingcited by 25
38 more
- 2021Batched Neural Banditscited by 22
- 2021Neural Active Learning with Performance Guaranteescited by 22
- 2022Langevin Monte Carlo for Contextual Banditscited by 22
- 2021Uniform Generalization Bounds for Overparameterized Neural Networkscited by 21
- 2023Graph Neural Banditscited by 20
- 2022Learning Neural Contextual Bandits Through Perturbed Rewardscited by 17
- 2022Federated Neural Banditscited by 17
- 2022An Optimization-based Algorithm for Non-stationary Kernel Bandits without Prior Knowledgecited by 17
- 2023Combinatorial Neural Banditscited by 16
- 2025Adaptive Batch-Wise Sample Scheduling for Direct Preference Optimizationcited by 16
- 2021Efficient Online Bayesian Inference for Neural Banditscited by 15
- 2021Online Limited Memory Neural-Linear Bandits with Likelihood Matchingcited by 14
- 2021Deep Exploration for Recommendation Systemscited by 14
- 2024PageRank Bandits for Link Predictioncited by 14
- 2021Pure Exploration in Kernel and Neural Banditscited by 13
- 2021Open Problem: Tight Online Confidence Intervals for RKHS Elementscited by 13
- 2023Scalable Neural Contextual Bandit for Recommender Systemscited by 12
- 2023Quantum Bayesian Optimizationcited by 12
- 2022Improved Algorithms for Neural Active Learningcited by 11
- 2021Quantifying Epistemic Uncertainty in Deep Learningcited by 10
- 2022Graph Neural Network Banditscited by 10
- 2023Efficient Uncertainty Quantification and Reduction for Over-Parameterized Neural Networkscited by 10
- 2023Neural Contextual Bandits for Personalized Recommendationcited by 10
- 2025ActiveDPO: Active Direct Preference Optimization for Sample-Efficient Alignmentcited by 9
- 2022Neural Bandit with Arm Group Graphcited by 8
- 2022Neural Collaborative Filtering Bandits via Meta Learningcited by 7
- 2022Global Optimization with Parametric Function Approximationcited by 7
- 2023Neural Exploitation and Exploration of Contextual Banditscited by 7
- 2024Neural Dueling Bandits: Preference-Based Optimization with Human Feedbackcited by 7
- 2024Meta Clustering of Neural Banditscited by 7
- 2022Provably and Practically Efficient Neural Contextual Banditscited by 6
- 2023On the Disconnect Between Theory and Practice of Neural Networks: Limits of the NTK Perspectivecited by 6
- 2025T-POP: Test-Time Personalization with Online Preference Feedbackcited by 6
- 2023VITS : Variational Inference Thompson Sampling for contextual banditscited by 5
- 2024Online Personalizing White-box LLMs Generation with Neural Banditscited by 5
- 2025Contextual Thompson Sampling via Generation of Missing Datacited by 5
- 2025Neural Logistic Banditscited by 5
- 2021Adversarial Gradient Driven Exploration for Deep Click-Through Rate Predictioncited by 4
50 most cited of 127 All 127 (JSON)
- 2026Risk-Aware Adaptive Evaluation: Finding High-Impact Failures Under Limited Budgets30 Sep 2026
- 2026Human-inspired, Task-Dimension-Guided Exploration for Efficient Learning in High Dimensions29 Sep 2026
- 2026When Greedy Sampling Explores: KL-Regularized Contextual Bandits without Eluder-Dimension Dependence11 Sep 2026
- 2026From Prediction to Incrementality: Causal Optimization for Large-Scale Targeting and Recommendation10 Aug 2026
- 2026Bootstrap-Conditioned Action Selection with Tabular Foundation Models6 Aug 2026
- 2026PinEqualizer: Full Funnel Content Exploration and Debiasing System at Pinterest24 Jul 2026
- 2026Periodic Bootstrap Thompson Sampling For Periodically Non-Stationary Bandit Problems18 Jul 2026
- 2026Linear and Neural Dueling Bandits with Delayed Feedback26 May 2026
- 2026Kernel-based guarantees for nonlinear parametric models in Bayesian optimization13 May 2026
- 2026Sample-Mean Anchored Thompson Sampling for Offline-to-Online Learning with Distribution Shift11 May 2026
- 2026Optimality of Sub-network Laplace Approximations: New Results and Methods9 May 2026
- 2026Replacing Parameters with Preferences: Federated Alignment of Heterogeneous Vision-Language Models5 May 2026
38 more
- 2026Adaptive Instruction Composition for Automated LLM Red-Teaming22 Apr 2026
- 2026A Practical Algorithm for Feature-Rich, Non-Stationary Bandit Problems17 Mar 2026
- 2026Learning When to Trust in Contextual Social Bandits9 Mar 2026
- 2026Learning to Attack: A Bandit Approach to Adversarial Context Poisoning28 Feb 2026
- 2026Federated Reasoning Distillation Framework with Model Learnability-Aware Data Allocation21 Feb 2026
- 2026SoK: The Pitfalls of Deep Reinforcement Learning for Cybersecurity9 Feb 2026
- 2026Replacing Parameters with Preferences: Federated Alignment of Heterogeneous Vision-Language Models31 Jan 2026
- 2026BanditLP: Large-Scale Stochastic Optimization for Personalized Recommendations22 Jan 2026
- 2026Tractable Multinomial Logit Contextual Bandits with Non-Linear Utilities11 Jan 2026
- 2026Quantum-Enhanced Neural Contextual Bandit Algorithms6 Jan 2026
- 2025PRESTO: Preimage-Informed Instruction Optimization for Prompting Black-Box LLMs29 Oct 2025
- 2025Exploration via Feature Perturbation in Contextual Bandits20 Oct 2025
- 2025Clutch Control: An Attention-based Combinatorial Bandit for Efficient Mutation in JavaScript Engine Fuzzing14 Oct 2025
- 2025Provable Anytime Ensemble Sampling Algorithms in Nonlinear Contextual Bandits12 Oct 2025
- 2025Fine-tuning LLMs with variational Bayesian last layer for high-dimensional Bayesian optimization1 Oct 2025
- 2025T-POP: Test-Time Personalization with Online Preference Feedback29 Sep 2025
- 2025Generalized Kernelized Bandits: A Novel Self-Normalized Bernstein-Like Dimension-Free Inequality and Regret Bounds3 Aug 2025
- 2025Feel-Good Thompson Sampling for Contextual Bandits: a Markov Chain Monte Carlo Showdown21 Jul 2025
- 2025Thompson Sampling in Function Spaces via Neural Operators27 Jun 2025
- 2025Revisiting Clustering of Neural Bandits: Selective Reinitialization for Mitigating Loss of Plasticity14 Jun 2025
- 2025Bayesian Optimization with Inexact Acquisition: Is Random Grid Search Sufficient?13 Jun 2025
- 2025Adaptive Batch-Wise Sample Scheduling for Direct Preference Optimization8 Jun 2025
- 2025Neural Variance-aware Dueling Bandits with Deep Representation and Shallow Exploration2 Jun 2025
- 2025Preference-based learning for news headline recommendation31 May 2025
- 2025COBRA: Contextual Bandit Algorithm for Ensuring Truthful Strategic Agents29 May 2025
- 2025ActiveDPO: Active Direct Preference Optimization for Sample-Efficient Alignment25 May 2025
- 2025High-dimensional Nonparametric Contextual Bandit Problem20 May 2025
- 2025Neural Logistic Bandits4 May 2025
- 2025Neural Contextual Bandits Under Delayed Feedback Constraints16 Apr 2025
- 2025Active Human Feedback Collection via Neural Contextual Dueling Bandits16 Apr 2025
- 2025Resource-efficient Inference with Foundation Model Programs9 Apr 2025
- 2025Counterfactual Inference under Thompson Sampling3 Apr 2025
- 2025CAE: Repurposing the Critic as an Explorer in Deep Reinforcement Learning23 Mar 2025
- 2025Sparse Nonparametric Contextual Bandits20 Mar 2025
- 2025Quantum Non-Linear Bandit Optimization4 Mar 2025
- 2025LNUCB-TA: Linear-nonlinear Hybrid Bandit Learning with Temporal Attention1 Mar 2025
- 2025Contextual Thompson Sampling via Generation of Missing Data10 Feb 2025
- 2025Online Clustering of Dueling Bandits4 Feb 2025
50 newest of 127 All 127 (JSON)
- 2024Prompt Optimization with Human Feedbackcited by 35
- 2025Adaptive Batch-Wise Sample Scheduling for Direct Preference Optimizationcited by 16
- 2024Neural Dueling Bandits: Preference-Based Optimization with Human Feedbackcited by 7
- 2025T-POP: Test-Time Personalization with Online Preference Feedbackcited by 6
- 2025Active Human Feedback Collection via Neural Contextual Dueling Banditscited by 4
- 2026Linear and Neural Dueling Bandits with Delayed Feedbackcited by 0
- 2026Linear and Neural Dueling Bandits with Delayed Feedback26 May 2026
- 2025T-POP: Test-Time Personalization with Online Preference Feedback29 Sep 2025
- 2025Adaptive Batch-Wise Sample Scheduling for Direct Preference Optimization8 Jun 2025
- 2025Active Human Feedback Collection via Neural Contextual Dueling Bandits16 Apr 2025
- 2024Neural Dueling Bandits: Preference-Based Optimization with Human Feedback24 Jul 2024
- 2024Prompt Optimization with Human Feedback27 May 2024
- 2022POEM: Out-of-Distribution Detection with Posterior Samplingcited by 108
- 2021Optimal Order Simple Regret for Gaussian Process Banditscited by 52
- 2024Efficient Exploration for LLMscited by 44
- 2021EE-Net: Exploitation-Exploration Neural Networks in Contextual Banditscited by 43
- 2021Neural Contextual Bandits without Regretcited by 40
- 2022Contextual Bandits with Large Action Spaces: Made Practicalcited by 32
- 2023Approximate Thompson Sampling via Epistemic Neural Networkscited by 31
- 2022A Provably Efficient Model-Free Posterior Sampling Method for Episodic Reinforcement Learningcited by 30
- 2023Use Your INSTINCT: INSTruction optimization for LLMs usIng Neural bandits Coupled with Transformerscited by 29
- 2023The Benefits of Being Distributional: Small-Loss Bounds for Reinforcement Learningcited by 27
- 2022Sample-Then-Optimize Batch Neural Thompson Samplingcited by 25
- 2021Batched Neural Banditscited by 22
12 most cited of 115 All 115 (JSON)
- 2026Risk-Aware Adaptive Evaluation: Finding High-Impact Failures Under Limited Budgets30 Sep 2026
- 2026Human-inspired, Task-Dimension-Guided Exploration for Efficient Learning in High Dimensions29 Sep 2026
- 2026When Greedy Sampling Explores: KL-Regularized Contextual Bandits without Eluder-Dimension Dependence11 Sep 2026
- 2026From Prediction to Incrementality: Causal Optimization for Large-Scale Targeting and Recommendation10 Aug 2026
- 2026PinEqualizer: Full Funnel Content Exploration and Debiasing System at Pinterest24 Jul 2026
- 2026Periodic Bootstrap Thompson Sampling For Periodically Non-Stationary Bandit Problems18 Jul 2026
- 2026Kernel-based guarantees for nonlinear parametric models in Bayesian optimization13 May 2026
- 2026Sample-Mean Anchored Thompson Sampling for Offline-to-Online Learning with Distribution Shift11 May 2026
- 2026Optimality of Sub-network Laplace Approximations: New Results and Methods9 May 2026
- 2026A Practical Algorithm for Feature-Rich, Non-Stationary Bandit Problems17 Mar 2026
- 2026Learning When to Trust in Contextual Social Bandits9 Mar 2026
- 2026Learning to Attack: A Bandit Approach to Adversarial Context Poisoning28 Feb 2026
12 newest of 115 All 115 (JSON)