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Federated multi-armed bandits (FMAB) is a new bandit paradigm that parallels the federated learning (FL) framework in supervised learning. It is inspired by practical applications in cognitive radio and recommender systems, and enjoys…

Machine Learning · Computer Science 2021-03-04 Chengshuai Shi , Cong Shen

We generalize the multiple-play multi-armed bandits (MP-MAB) problem with a shareable arm setting, in which several plays can share the same arm. Furthermore, each shareable arm has a finite reward capacity and a ''per-load'' reward…

Machine Learning · Computer Science 2022-06-20 Xuchuang Wang , Hong Xie , John C. S. Lui

We analytically derive a class of optimal solutions to a linear program (LP) for automated mechanism design that satisfies efficiency, incentive compatibility, strong budget balance (SBB), and individual rationality (IR), where SBB and IR…

Computer Science and Game Theory · Computer Science 2025-05-20 Takayuki Osogami , Hirota Kinoshita , Segev Wasserkrug

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…

Machine Learning · Statistics 2024-11-28 Marco Fiandri , Alberto Maria Metelli , Francesco Trov`o

The celebrated multi-armed bandit problem in decision theory models the basic trade-off between exploration, or learning about the state of a system, and exploitation, or utilizing the system. In this paper we study the variant of the…

Data Structures and Algorithms · Computer Science 2013-06-19 Sudipto Guha , Kamesh Munagala

The contextual multi-armed bandit (MAB) problem is crucial in sequential decision-making. A line of research, known as online clustering of bandits, extends contextual MAB by grouping similar users into clusters, utilizing shared features…

Machine Learning · Computer Science 2025-01-03 Zhuohua Li , Maoli Liu , Xiangxiang Dai , John C. S. Lui

Many modern AI and ML problems require evaluating partners' contributions through shared yet asymmetric, computationally intensive processes and the simultaneous selection of the most beneficial candidates. Sequential approaches to these…

Machine Learning · Computer Science 2026-01-01 András Antos , András Millinghoffer , Péter Antal

We study, to the best of our knowledge, the first Bayesian algorithm for unimodal Multi-Armed Bandit (MAB) problems with graph structure. In this setting, each arm corresponds to a node of a graph and each edge provides a relationship,…

Machine Learning · Computer Science 2016-11-23 Stefano Paladino , Francesco Trovò , Marcello Restelli , Nicola Gatti

In modern resource-sharing systems, multiple agents access limited resources with unknown stochastic conditions to perform tasks. When multiple agents access the same resource (arm) simultaneously, they compete for successful usage, leading…

Computer Science and Game Theory · Computer Science 2025-03-28 Hongbo Li , Lingjie Duan

During online decision making in Multi-Armed Bandits (MAB), one needs to conduct inference on the true mean reward of each arm based on data collected so far at each step. However, since the arms are adaptively selected--thereby yielding…

Machine Learning · Computer Science 2021-06-29 Maria Dimakopoulou , Zhimei Ren , Zhengyuan Zhou

In recent years, multi-armed bandit (MAB) framework has attracted a lot of attention in various applications, from recommender systems and information retrieval to healthcare and finance, due to its stellar performance combined with certain…

Machine Learning · Computer Science 2019-04-24 Djallel Bouneffouf , Irina Rish

The purpose of this paper is to provide further understanding into the structure of the sequential allocation ("stochastic multi-armed bandit", or MAB) problem by establishing probability one finite horizon bounds and convergence rates for…

Machine Learning · Statistics 2015-12-18 Wesley Cowan , Michael N. Katehakis

Motivated by recommendation problems in music streaming platforms, we propose a nonstationary stochastic bandit model in which the expected reward of an arm depends on the number of rounds that have passed since the arm was last pulled.…

Machine Learning · Statistics 2020-02-20 Leonardo Cella , Nicolò Cesa-Bianchi

Setting up the future Internet of Things (IoT) networks will require to support more and more communicating devices. We prove that intelligent devices in unlicensed bands can use Multi-Armed Bandit (MAB) learning algorithms to improve…

Networking and Internet Architecture · Computer Science 2018-07-03 Rémi Bonnefoi , Lilian Besson , Christophe Moy , Emilie Kaufmann , Jacques Palicot

There is a rising interest in industrial online applications where data becomes available sequentially. Inspired by the recommendation of playlists to users where their preferences can be collected during the listening of the entire…

Machine Learning · Computer Science 2022-06-02 Giulia Romano , Andrea Agostini , Francesco Trovò , Nicola Gatti , Marcello Restelli

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

In this paper, we introduce Ballooning Multi-Armed Bandits (BL-MAB), a novel extension of the classical stochastic MAB model. In the BL-MAB model, the set of available arms grows (or balloons) over time. In contrast to the classical MAB…

Machine Learning · Computer Science 2021-02-23 Ganesh Ghalme , Swapnil Dhamal , Shweta Jain , Sujit Gujar , Y. Narahari

We consider a novel multi-armed bandit framework where the rewards obtained by pulling the arms are functions of a common latent random variable. The correlation between arms due to the common random source can be used to design a…

Machine Learning · Statistics 2019-01-31 Samarth Gupta , Gauri Joshi , Osman Yağan

Statistical inference from data generated by multi-armed bandit (MAB) algorithms is challenging due to their adaptive, non-i.i.d. nature. A classical manifestation is that sample averages of arm rewards under bandit sampling may fail to…

Machine Learning · Statistics 2025-11-25 Samya Praharaj , Koulik Khamaru

We introduce a novel framework of combinatorial multi-armed bandits (CMAB) with multivariant and probabilistically triggering arms (CMAB-MT), where the outcome of each arm is a $d$-dimensional multivariant random variable and the feedback…

Machine Learning · Computer Science 2025-04-24 Xutong Liu , Siwei Wang , Jinhang Zuo , Han Zhong , Xuchuang Wang , Zhiyong Wang , Shuai Li , Mohammad Hajiesmaili , John C. S. Lui , Wei Chen