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A survey is performed of various Multi-Armed Bandit (MAB) strategies in order to examine their performance in circumstances exhibiting non-stationary stochastic reward functions in conjunction with delayed feedback. We run several MAB…

Machine Learning · Computer Science 2019-07-31 Larkin Liu , Richard Downe , Joshua Reid

We study a hinted heterogeneous multi-agent multi-armed bandits problem (HMA2B), where agents can query low-cost observations (hints) in addition to pulling arms. In this framework, each of the $M$ agents has a unique reward distribution…

Machine Learning · Computer Science 2025-02-28 Amirmahdi Mirfakhar , Xuchuang Wang , Jinhang Zuo , Yair Zick , Mohammad Hajiesmaili

In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of interest is regret, defined as the gap between the expected…

Optimization and Control · Mathematics 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

We study a new non-stochastic federated multi-armed bandit problem with multiple agents collaborating via a communication network. The losses of the arms are assigned by an oblivious adversary that specifies the loss of each arm not only…

Machine Learning · Statistics 2023-10-24 Jialin Yi , Milan Vojnović

The batched multi-armed bandit (MAB) problem, in which rewards are collected in batches, is crucial for applications such as clinical trials. Existing research predominantly assumes light-tailed reward distributions, yet many real-world…

Machine Learning · Computer Science 2026-03-24 Yunwen Guo , Yunlun Shu , Gongyi Zhuo , Tianyu Wang

We consider the Adversarial Multi-Armed Bandits (MAB) problem with unbounded losses, where the algorithms have no prior knowledge on the sizes of the losses. We present UMAB-NN and UMAB-G, two algorithms for non-negative and general…

Machine Learning · Statistics 2023-10-04 Mingyu Chen , Xuezhou Zhang

We study the piecewise-stationary restless multi-armed bandit (PS-RMAB) problem, where each arm evolves as a Markov chain but \emph{mean rewards may change across unknown segments}. To address the resulting exploration--detection delay…

Information Theory · Computer Science 2026-04-14 Kuan-Ta Li , Chia-Chun Lin , Ping-Chun Hsieh , Yu-Chih Huang

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…

Statistics Theory · Mathematics 2026-04-23 Wenlong Ji , Yihan Pan , Ruihao Zhu , Lihua Lei

This paper considers a stochastic Multi-Armed Bandit (MAB) problem with dual objectives: (i) quick identification and commitment to the optimal arm, and (ii) reward maximization throughout a sequence of $T$ consecutive rounds. Though each…

Machine Learning · Computer Science 2024-05-31 Qining Zhang , Lei Ying

As an extension of the classical multi-armed bandit problem, multi-fidelity multi-armed bandits (MF-MAB) enable individual arms to be evaluated using diverse feedback sources that vary in both cost and accuracy. Prior stochastic models…

Machine Learning · Computer Science 2026-05-12 Muyun Lu , Haoyang Hong , Huazheng Wang , Ying Lin

We consider a novel multi-arm bandit (MAB) setup, where a learner needs to communicate the actions to distributed agents over erasure channels, while the rewards for the actions are directly available to the learner through external…

Machine Learning · Statistics 2024-06-27 Osama Hanna , Merve Karakas , Lin F. Yang , Christina Fragouli

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

Data Structures and Algorithms · Computer Science 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

In recent years, multi-player multi-armed bandits (MP-MAB) have been extensively studied due to their wide applications in cognitive radio networks and Internet of Things systems. While most existing research on MP-MAB focuses on…

Machine Learning · Computer Science 2025-10-01 Jingqi Fan , Canzhe Zhao , Shuai Li , Siwei Wang

We study the stochastic multi-armed bandit problem in the case when the arm samples are dependent over time and generated from so-called weak $\cC$-mixing processes. We establish a $\cC-$Mix Improved UCB agorithm and provide both…

Machine Learning · Statistics 2019-06-26 Oleksandr Zadorozhnyi , Gilles Blanchard , Alexandra Carpentier

Many sequential decision-making problems in communication networks can be modeled as contextual bandit problems, which are natural extensions of the well-known multi-armed bandit problem. In contextual bandit problems, at each time, an…

Machine Learning · Computer Science 2016-05-10 Pranav Sakulkar , Bhaskar Krishnamachari

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

Statistics Theory · Mathematics 2008-12-18 Aurélien Garivier , Eric Moulines

The contextual multi-armed bandit (MAB) is a widely used framework for problems requiring sequential decision-making under uncertainty, such as recommendation systems. In applications involving a large number of users, the performance of…

Machine Learning · Computer Science 2025-02-05 Zhiyong Wang , Jiahang Sun , Mingze Kong , Jize Xie , Qinghua Hu , John C. S. Lui , Zhongxiang Dai

The decentralized stochastic multi-player multi-armed bandit (MP-MAB) problem, where the collision information is not available to the players, is studied in this paper. Building on the seminal work of Boursier and Perchet (2019), we…

Machine Learning · Computer Science 2020-03-03 Chengshuai Shi , Wei Xiong , Cong Shen , Jing Yang

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…

Machine Learning · Computer Science 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

We study the sequential resource allocation problem where a decision maker repeatedly allocates budgets between resources. Motivating examples include allocating limited computing time or wireless spectrum bands to multiple users (i.e.,…

Machine Learning · Computer Science 2021-05-11 Jinhang Zuo , Carlee Joe-Wong
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