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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

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

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

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

We study the efficiency of Thompson sampling for contextual bandits. Existing Thompson sampling-based algorithms need to construct a Laplace approximation (i.e., a Gaussian distribution) of the posterior distribution, which is inefficient…

机器学习 · 计算机科学 2022-06-23 Pan Xu , Hongkai Zheng , Eric Mazumdar , Kamyar Azizzadenesheli , Anima Anandkumar

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

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 provides an efficient technique to introduce prior knowledge in the multi-armed bandit problem, along with providing remarkable empirical performance. In this paper, we revisit the Thompson Sampling algorithm under rewards…

机器学习 · 计算机科学 2019-12-09 Abhimanyu Dubey , Alex Pentland

We propose algorithms based on a multi-level Thompson sampling scheme, for the stochastic multi-armed bandit and its contextual variant with linear expected rewards, in the setting where arms are clustered. We show, both theoretically and…

机器学习 · 计算机科学 2022-06-16 Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

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

Thompson sampling is an efficient algorithm for sequential decision making, which exploits the posterior uncertainty to address the exploration-exploitation dilemma. There has been significant recent interest in integrating Bayesian neural…

机器学习 · 统计学 2020-08-07 Zhendong Wang , Mingyuan Zhou

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

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

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

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

We investigate properties of Thompson Sampling in the stochastic multi-armed bandit problem with delayed feedback. In a setting with i.i.d delays, we establish to our knowledge the first regret bounds for Thompson Sampling with arbitrary…

机器学习 · 计算机科学 2022-05-24 Han Wu , Stefan Wager

Thompson Sampling is one of the most effective methods for contextual bandits and has been generalized to posterior sampling for certain MDP settings. However, existing posterior sampling methods for reinforcement learning are limited by…

机器学习 · 计算机科学 2022-08-24 Christoph Dann , Mehryar Mohri , Tong Zhang , Julian Zimmert

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

We investigate finite stochastic partial monitoring, which is a general model for sequential learning with limited feedback. While Thompson sampling is one of the most promising algorithms on a variety of online decision-making problems,…

机器学习 · 统计学 2021-06-11 Taira Tsuchiya , Junya Honda , Masashi Sugiyama

We study Thompson Sampling-based algorithms for stochastic bandits with bounded rewards. As the existing problem-dependent regret bound for Thompson Sampling with Gaussian priors [Agrawal and Goyal, 2017] is vacuous when $T \le 288 e^{64}$,…

机器学习 · 计算机科学 2024-05-03 Bingshan Hu , Zhiming Huang , Tianyue H. Zhang , Mathias Lécuyer , Nidhi Hegde
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