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Thompson Sampling has been widely used for contextual bandit problems due to the flexibility of its modeling power. However, a general theory for this class of methods in the frequentist setting is still lacking. In this paper, we present a…

机器学习 · 计算机科学 2021-10-05 Tong Zhang

Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several studies demonstrated it to have better…

机器学习 · 计算机科学 2014-02-04 Shipra Agrawal , Navin Goyal

In linear contextual bandits, the objective is to select actions that maximize cumulative rewards, modeled as a linear function with unknown parameters. Although Thompson Sampling performs well empirically, it does not achieve optimal…

机器学习 · 统计学 2025-06-18 Wonyoung Kim

Variance-dependent regret bounds have received increasing attention in recent studies on contextual bandits. However, most of these studies are focused on upper confidence bound (UCB)-based bandit algorithms, while sampling based bandit…

机器学习 · 计算机科学 2025-11-05 Xuheng Li , Quanquan Gu

We study the multi-objective linear contextual bandit problem, where multiple possible conflicting objectives must be optimized simultaneously. We propose \texttt{MOL-TS}, the \textit{first} Thompson Sampling algorithm with Pareto regret…

机器学习 · 统计学 2025-12-02 Somangchan Park , Heesang Ann , Min-hwan Oh

Thompson Sampling (TS) is widely used to address the exploration/exploitation tradeoff in contextual bandits, yet recent theory shows that it does not explore aggressively enough in high-dimensional problems. Feel-Good Thompson Sampling…

机器学习 · 计算机科学 2025-10-27 Emile Anand , Sarah Liaw

A challenging aspect of the bandit problem is that a stochastic reward is observed only for the chosen arm and the rewards of other arms remain missing. The dependence of the arm choice on the past context and reward pairs compounds the…

机器学习 · 统计学 2023-05-02 Wonyoung Kim , Gi-soo Kim , Myunghee Cho Paik

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…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Lihong Li , Quanquan Gu

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

We discuss a multiple-play multi-armed bandit (MAB) problem in which several arms are selected at each round. Recently, Thompson sampling (TS), a randomized algorithm with a Bayesian spirit, has attracted much attention for its empirically…

机器学习 · 统计学 2019-03-22 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

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

Meta-learning is characterized by its ability to learn how to learn, enabling the adaptation of learning strategies across different tasks. Recent research introduced the Meta-Thompson Sampling (Meta-TS), which meta-learns an unknown prior…

机器学习 · 统计学 2024-09-12 Hao Li , Dong Liang , Zheng Xie

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

Contextual dueling bandits, where a learner compares two options based on context and receives feedback indicating which was preferred, extends classic dueling bandits by incorporating contextual information for decision-making and…

机器学习 · 计算机科学 2024-04-10 Xuheng Li , Heyang Zhao , Quanquan Gu

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…

We consider the contextual bandit problem, where a player sequentially makes decisions based on past observations to maximize the cumulative reward. Although many algorithms have been proposed for contextual bandit, most of them rely on…

机器学习 · 计算机科学 2021-06-08 Qin Ding , Cho-Jui Hsieh , James Sharpnack

We consider the stochastic linear contextual bandit problem with high-dimensional features. We analyze the Thompson sampling algorithm using special classes of sparsity-inducing priors (e.g., spike-and-slab) to model the unknown parameter…

机器学习 · 统计学 2023-01-31 Sunrit Chakraborty , Saptarshi Roy , Ambuj Tewari

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

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

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
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