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The multi-armed bandit (MAB) model is one of the most classical models to study decision-making in an uncertain environment. In this model, a player chooses one of $K$ possible arms of a bandit machine to play at each time step, where the…

机器学习 · 计算机科学 2023-06-13 Bo Li , Chi Ho Yeung

This paper considers a multi-armed bandit (MAB) problem in which multiple mobile agents receive rewards by sampling from a collection of spatially dispersed stochastic processes, called bandits. The goal is to formulate a decentralized…

机器学习 · 计算机科学 2020-04-01 Pathmanathan Pankayaraj , D. H. S. Maithripala , J. M. Berg

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration. Instead of directly maximizing cumulative expected reward, we need to balance between the total reward and…

机器学习 · 统计学 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

We study the nonstationary stochastic Multi-Armed Bandit (MAB) problem in which the distribution of rewards associated with each arm are assumed to be time-varying and the total variation in the expected rewards is subject to a variation…

机器学习 · 计算机科学 2021-01-25 Lai Wei , Vaibhav Srivastava

In a multi-armed bandit (MAB) problem a gambler needs to choose at each round of play one of K arms, each characterized by an unknown reward distribution. Reward realizations are only observed when an arm is selected, and the gambler's…

机器学习 · 计算机科学 2019-06-11 Omar Besbes , Yonatan Gur , Assaf Zeevi

Multi-armed bandit (MAB) is a widely adopted framework for sequential decision-making under uncertainty. Traditional bandit algorithms rely solely on online data, which tends to be scarce as it must be gathered during the online phase when…

统计理论 · 数学 2026-04-23 Wenlong Ji , Yihan Pan , Ruihao Zhu , Lihua Lei

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e. those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. $arm$). We study a particular case of the rested…

机器学习 · 统计学 2024-11-28 Marco Fiandri , Alberto Maria Metelli , Francesco Trov`o

Strategic behavior against sequential learning methods, such as "click framing" in real recommendation systems, have been widely observed. Motivated by such behavior we study the problem of combinatorial multi-armed bandits (CMAB) under…

机器学习 · 计算机科学 2021-11-22 Jing Dong , Ke Li , Shuai Li , Baoxiang Wang

We consider a multi-armed bandit problem in which a set of arms is registered by each agent, and the agent receives reward when its arm is selected. An agent might strategically submit more arms with replications, which can bring more…

机器学习 · 计算机科学 2021-10-26 Suho Shin , Seungjoon Lee , Jungseul Ok

We study the stochastic Multi-Armed Bandit (MAB) problem with random delays in the feedback received by the algorithm. We consider two settings: the reward-dependent delay setting, where realized delays may depend on the stochastic rewards,…

机器学习 · 计算机科学 2021-06-07 Tal Lancewicki , Shahar Segal , Tomer Koren , Yishay Mansour

We define a general framework for a large class of combinatorial multi-armed bandit (CMAB) problems, where subsets of base arms with unknown distributions form super arms. In each round, a super arm is played and the base arms contained in…

机器学习 · 计算机科学 2016-03-30 Wei Chen , Yajun Wang , Yang Yuan , Qinshi Wang

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

机器学习 · 计算机科学 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

This paper considers the multi-armed bandit (MAB) problem and provides a new best-of-both-worlds (BOBW) algorithm that works nearly optimally in both stochastic and adversarial settings. In stochastic settings, some existing BOBW algorithms…

机器学习 · 计算机科学 2022-06-15 Shinji Ito , Taira Tsuchiya , Junya Honda

The multi-armed bandit(MAB) problem is a simple yet powerful framework that has been extensively studied in the context of decision-making under uncertainty. In many real-world applications, such as robotic applications, selecting an arm…

机器学习 · 计算机科学 2023-03-21 Tianpeng Zhang , Kasper Johansson , Na Li

We present differentially private algorithms for the stochastic Multi-Armed Bandit (MAB) problem. This is a problem for applications such as adaptive clinical trials, experiment design, and user-targeted advertising where private…

机器学习 · 统计学 2015-11-30 Aristide Tossou , Christos Dimitrakakis

We study the multi-player stochastic multiarmed bandit (MAB) problem in an abruptly changing environment. We consider a collision model in which a player receives reward at an arm if it is the only player to select the arm. We design two…

机器学习 · 统计学 2018-12-14 Lai Wei , Vaibhav Srivastava

This paper investigates the problem of regret minimization for multi-armed bandit (MAB) problems with local differential privacy (LDP) guarantee. In stochastic bandit systems, the rewards may refer to the users' activities, which may…

机器学习 · 计算机科学 2020-07-08 Wenbo Ren , Xingyu Zhou , Jia Liu , Ness B. Shroff

Multi-armed bandits (MAB) model sequential decision making problems, in which a learner sequentially chooses arms with unknown reward distributions in order to maximize its cumulative reward. Most of the prior work on MAB assumes that the…

机器学习 · 计算机科学 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

In this paper, we consider stochastic multi-armed bandits (MABs) with heavy-tailed rewards, whose $p$-th moment is bounded by a constant $\nu_{p}$ for $1<p\leq2$. First, we propose a novel robust estimator which does not require $\nu_{p}$…

机器学习 · 计算机科学 2021-10-28 Kyungjae Lee , Hongjun Yang , Sungbin Lim , Songhwai Oh

We study a decentralized cooperative stochastic multi-armed bandit problem with $K$ arms on a network of $N$ agents. In our model, the reward distribution of each arm is the same for each agent and rewards are drawn independently across…

机器学习 · 计算机科学 2019-10-25 David Martínez-Rubio , Varun Kanade , Patrick Rebeschini
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