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相关论文: Thompson Sampling For Combinatorial Bandits: Polyn…

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Much of the recent literature on bandit learning focuses on algorithms that aim to converge on an optimal action. One shortcoming is that this orientation does not account for time sensitivity, which can play a crucial role when learning an…

机器学习 · 计算机科学 2020-01-09 Daniel Russo , Benjamin Van Roy

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

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

We study the effects of approximate inference on the performance of Thompson sampling in the $k$-armed bandit problems. Thompson sampling is a successful algorithm for online decision-making but requires posterior inference, which often…

机器学习 · 计算机科学 2020-01-16 My Phan , Yasin Abbasi-Yadkori , Justin Domke

We here adopt Bayesian nonparametric mixture models to extend multi-armed bandits in general, and Thompson sampling in particular, to scenarios where there is reward model uncertainty. In the stochastic multi-armed bandit, the reward for…

机器学习 · 统计学 2022-08-26 Iñigo Urteaga , Chris H. Wiggins

Ensemble sampling serves as a practical approximation to Thompson sampling when maintaining an exact posterior distribution over model parameters is computationally intractable. In this paper, we establish a regret bound that ensures…

机器学习 · 计算机科学 2023-03-02 Chao Qin , Zheng Wen , Xiuyuan Lu , Benjamin Van Roy

We study the problem of regret minimization in a multi-armed bandit setup where the agent is allowed to play multiple arms at each round by spreading the resources usually allocated to only one arm. At each iteration the agent selects a…

机器学习 · 计算机科学 2021-06-01 Matias I. Müller , Cristian R. Rojas

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

We revisit combinatorial Thompson sampling (CTS) for semi-bandits with sleeping arms, where arm availability varies over time and actions must satisfy combinatorial constraints, as in wireless mesh routing with fluctuating link…

机器学习 · 计算机科学 2026-05-13 Zhiming Huang , Bingshan Hu , Jianping Pan

Thompson sampling (TS) has attracted a lot of interest in the bandit area. It was introduced in the 1930s but has not been theoretically proven until recent years. All of its analysis in the combinatorial multi-armed bandit (CMAB) setting…

机器学习 · 计算机科学 2021-11-09 Fang Kong , Yueran Yang , Wei Chen , Shuai Li

This paper considers the use of a simple posterior sampling algorithm to balance between exploration and exploitation when learning to optimize actions such as in multi-armed bandit problems. The algorithm, also known as Thompson Sampling,…

机器学习 · 计算机科学 2014-02-04 Daniel Russo , Benjamin Van Roy

Thompson sampling is one of the earliest randomized algorithms for multi-armed bandits (MAB). In this paper, we extend the Thompson sampling to Budgeted MAB, where there is random cost for pulling an arm and the total cost is constrained by…

机器学习 · 计算机科学 2015-05-04 Yingce Xia , Haifang Li , Tao Qin , Nenghai Yu , Tie-Yan Liu

We consider the exploration-exploitation tradeoff in linear quadratic (LQ) control problems, where the state dynamics is linear and the cost function is quadratic in states and controls. We analyze the regret of Thompson sampling (TS)…

机器学习 · 统计学 2017-03-28 Marc Abeille , Alessandro Lazaric

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

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…

Thompson sampling has been shown to be an effective policy across a variety of online learning tasks. Many works have analyzed the finite time performance of Thompson sampling, and proved that it achieves a sub-linear regret under a broad…

机器学习 · 计算机科学 2020-11-10 Cem Kalkanli , Ayfer Ozgur

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

We study the combinatorial sleeping multi-armed semi-bandit problem with long-term fairness constraints~(CSMAB-F). To address the problem, we adopt Thompson Sampling~(TS) to maximize the total rewards and use virtual queue techniques to…

机器学习 · 计算机科学 2020-05-15 Zhiming Huang , Yifan Xu , Bingshan Hu , Qipeng Wang , Jianping Pan

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, a Bayesian method for balancing exploration and exploitation in bandit problems, has theoretical guarantees and exhibits strong empirical performance in many domains. Traditional Thompson sampling, however, assumes…

机器学习 · 计算机科学 2018-12-04 Andrew Stirn , Tony Jebara