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Efficient exploration in bandits is a fundamental online learning problem. We propose a variant of Thompson sampling that learns to explore better as it interacts with bandit instances drawn from an unknown prior. The algorithm meta-learns…

In this paper, we analyze and extend an online learning framework known as Context-Attentive Bandit, motivated by various practical applications, from medical diagnosis to dialog systems, where due to observation costs only a small subset…

机器学习 · 计算机科学 2020-10-20 Djallel Bouneffouf , Raphaël Féraud , Sohini Upadhyay , Yasaman Khazaeni , Irina Rish

In this work, we study the performance of the Thompson Sampling algorithm for Contextual Bandit problems based on the framework introduced by Neu et al. and their concept of lifted information ratio. First, we prove a comprehensive bound on…

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

Thompson sampling (TS) is one of the most popular and earliest algorithms to solve stochastic multi-armed bandit problems. We consider a variant of TS, named $\alpha$-TS, where we use a fractional or $\alpha$-posterior ($\alpha\in(0,1)$)…

机器学习 · 统计学 2023-09-13 Prateek Jaiswal , Debdeep Pati , Anirban Bhattacharya , Bani K. Mallick

Most existing approximate Thompson Sampling (TS) algorithms for multi-armed bandits use Stochastic Gradient Langevin Dynamics (SGLD) or its variants in each round to sample from the posterior, relaxing the need for conjugacy assumptions…

机器学习 · 计算机科学 2025-10-07 Weixin Wang , Haoyang Zheng , Guang Lin , Wei Deng , Pan Xu

Recent advances in contextual bandit optimization and reinforcement learning have garnered interest in applying these methods to real-world sequential decision making problems. Real-world applications frequently have constraints with…

机器学习 · 计算机科学 2019-11-05 Samuel Daulton , Shaun Singh , Vashist Avadhanula , Drew Dimmery , Eytan Bakshy

In this paper, we study the application of the Thompson sampling (TS) methodology to the stochastic combinatorial multi-armed bandit (CMAB) framework. We first analyze the standard TS algorithm for the general CMAB model when the outcome…

机器学习 · 计算机科学 2022-06-22 Siwei Wang , Wei Chen

Contextual multi-armed bandits are classical models in reinforcement learning for sequential decision-making associated with individual information. A widely-used policy for bandits is Thompson Sampling, where samples from a data-driven…

机器学习 · 统计学 2021-11-30 Hongju Park , Mohamad Kazem Shirani Faradonbeh

Non-stationary multi-armed bandit (NS-MAB) problems have recently received significant attention. NS-MAB are typically modelled in two scenarios: abruptly changing, where reward distributions remain constant for a certain period and change…

机器学习 · 计算机科学 2023-05-23 Han Qi , Yue Wang , Li Zhu

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 explore a stochastic contextual linear bandit problem where the agent observes a noisy, corrupted version of the true context through a noise channel with an unknown noise parameter. Our objective is to design an action policy that can…

机器学习 · 计算机科学 2024-03-26 Sharu Theresa Jose , Shana Moothedath

The design and performance analysis of bandit algorithms in the presence of stage-wise safety or reliability constraints has recently garnered significant interest. In this work, we consider the linear stochastic bandit problem under…

机器学习 · 计算机科学 2020-03-03 Ahmadreza Moradipari , Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

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

We consider Thompson Sampling (TS) for linear combinatorial semi-bandits and subgaussian rewards. We propose the first known TS whose finite-time regret does not scale exponentially with the dimension of the problem. We further show the…

机器学习 · 统计学 2024-10-10 Raymond Zhang , Richard Combes

Thompson sampling for multi-armed bandit problems is known to enjoy favorable performance in both theory and practice. However, it suffers from a significant limitation computationally, arising from the need for samples from posterior…

机器学习 · 计算机科学 2020-06-19 Eric Mazumdar , Aldo Pacchiano , Yi-an Ma , Peter L. Bartlett , Michael I. Jordan

We study the Bayesian regret of the renowned Thompson Sampling algorithm in contextual bandits with binary losses and adversarially-selected contexts. We adapt the information-theoretic perspective of \cite{RvR16} to the contextual setting…

机器学习 · 计算机科学 2023-03-07 Gergely Neu , Julia Olkhovskaya , Matteo Papini , Ludovic Schwartz

Contextual bandits constitute a classical framework for decision-making under uncertainty. In this setting, the goal is to learn the arms of highest reward subject to contextual information, while the unknown reward parameters of each arm…

机器学习 · 统计学 2024-02-19 Hongju Park , Mohamad Kazem Shirani Faradonbeh

Thompson sampling provides a solution to bandit problems in which new observations are allocated to arms with the posterior probability that an arm is optimal. While sometimes easy to implement and asymptotically optimal, Thompson sampling…

机器学习 · 计算机科学 2014-10-16 Dean Eckles , Maurits Kaptein

Thompson sampling is a heuristic algorithm for the multi-armed bandit problem which has a long tradition in machine learning. The algorithm has a Bayesian spirit in the sense that it selects arms based on posterior samples of reward…

机器学习 · 计算机科学 2021-02-15 Yi Liu , Veronika Rockova