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Thompson sampling has proven effective across a wide range of stationary bandit environments. However, as we demonstrate in this paper, it can perform poorly when applied to non-stationary environments. We attribute such failures to the…

机器学习 · 计算机科学 2025-05-06 Yueyang Liu , Xu Kuang , Benjamin Van Roy

This paper studies the stochastic linear bandit problem, where a decision-maker chooses actions from possibly time-dependent sets of vectors in $\mathbb{R}^d$ and receives noisy rewards. The objective is to minimize regret, the difference…

机器学习 · 计算机科学 2023-04-24 Nima Hamidi , Mohsen Bayati

Contextual bandits are a core technology for personalized mobile health interventions, where decision-making requires adapting to complex, non-linear user behaviors. While Thompson Sampling (TS) is a preferred strategy for these problems,…

机器学习 · 统计学 2026-02-10 Ruizhe Deng , Bibhas Chakraborty , Ran Chen , Yan Shuo Tan

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be very efficient in solving high dimensional problems. Even though…

人工智能 · 计算机科学 2009-12-03 Nicolas A. Barriga , Mauricio Araya-López , Mauricio Solar

We address the problem of regret minimization in logistic contextual bandits, where a learner decides among sequential actions or arms given their respective contexts to maximize binary rewards. Using a fast inference procedure with…

机器学习 · 统计学 2018-05-22 Bianca Dumitrascu , Karen Feng , Barbara E Engelhardt

Thompson sampling (TS) is a powerful and widely used strategy for sequential decision-making, with applications ranging from Bayesian optimization to reinforcement learning (RL). Despite its success, the theoretical foundations of TS remain…

机器学习 · 计算机科学 2025-10-24 Jasmine Bayrooti , Sattar Vakili , Amanda Prorok , Carl Henrik Ek

Thompson sampling is a widely used strategy for contextual bandits: at each round, it samples a reward function from a Bayesian posterior and acts greedily under that sample. Prior-data fitted networks (PFNs), such as TabPFN v2+ and TabICL…

机器学习 · 统计学 2026-05-12 Yan Shuo Tan , Kenyon Ng , Ruizhe Deng , Sumetha Loganathan , Qiong Zhang , Bibhas Chakraborty

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

统计计算 · 统计学 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

Thompson sampling (TS) is one of the most popular exploration techniques in reinforcement learning (RL). However, most TS algorithms with theoretical guarantees are difficult to implement and not generalizable to Deep RL. While the emerging…

机器学习 · 计算机科学 2024-06-19 Haque Ishfaq , Yixin Tan , Yu Yang , Qingfeng Lan , Jianfeng Lu , A. Rupam Mahmood , Doina Precup , Pan Xu

Thompson Sampling is one of the most widely used and studied bandit algorithms, known for its simple structure, low regret performance, and solid theoretical guarantees. Yet, in stark contrast to most other families of bandit algorithms,…

机器学习 · 计算机科学 2026-05-28 Yanlin Qu , Hongseok Namkoong , Assaf Zeevi

Thompson Sampling (TS) from Gaussian Process (GP) models is a powerful tool for the optimization of black-box functions. Although TS enjoys strong theoretical guarantees and convincing empirical performance, it incurs a large computational…

机器学习 · 统计学 2021-11-08 Sattar Vakili , Henry Moss , Artem Artemev , Vincent Dutordoir , Victor Picheny

Thompson sampling (TS) is widely used for stochastic multi-armed bandits, yet its inferential properties under adaptive data collection are subtle. Classical asymptotic theory for sample means can fail because arm-specific sample sizes are…

机器学习 · 计算机科学 2026-02-06 Shunxing Yan , Han Zhong

In stochastic bandit problems, a Bayesian policy called Thompson sampling (TS) has recently attracted much attention for its excellent empirical performance. However, the theoretical analysis of this policy is difficult and its asymptotic…

统计理论 · 数学 2013-11-11 Junya Honda , Akimichi Takemura

In algorithm optimization in reinforcement learning, how to deal with the exploration-exploitation dilemma is particularly important. Multi-armed bandit problem can optimize the proposed solutions by changing the reward distribution to…

机器学习 · 统计学 2022-03-28 Zhendong Shi , Ercan E. Kuruoglu , Xiaoli Wei

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

机器学习 · 统计学 2016-10-17 Tor Lattimore , Csaba Szepesvari

Thompson sampling is one of the most widely used algorithms for many online decision problems, due to its simplicity in implementation and superior empirical performance over other state-of-the-art methods. Despite its popularity and…

机器学习 · 计算机科学 2020-10-02 Tianyuan Jin , Pan Xu , Jieming Shi , Xiaokui Xiao , Quanquan Gu

We study the problem of online multi-task learning where the tasks are performed within similar but not necessarily identical multi-armed bandit environments. In particular, we study how a learner can improve its overall performance across…

机器学习 · 计算机科学 2022-06-20 Zhi Wang , Chicheng Zhang , Kamalika Chaudhuri

Thompson Sampling, one of the oldest heuristics for solving multi-armed bandits, has recently been shown to demonstrate state-of-the-art performance. The empirical success has led to great interests in theoretical understanding of this…

机器学习 · 计算机科学 2013-10-29 Lihong Li

In this paper, we introduce and analyze a variant of the Thompson sampling (TS) algorithm for contextual bandits. At each round, traditional TS requires samples from the current posterior distribution, which is usually intractable. To…

机器学习 · 统计学 2024-07-23 Pierre Clavier , Tom Huix , Alain Durmus

Chemical space is so large that brute force searches for new interesting molecules are infeasible. High-throughput virtual screening via computer cluster simulations can speed up the discovery process by collecting very large amounts of…