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We consider a collection of linear stochastic bandit problems, each modeling the random response of different agents to proposed interventions, coupled together by a global safety constraint. We assume a central coordinator must choose…

Optimization and Control · Mathematics 2025-04-24 Arghavan Zibaie , Spencer Hutchinson , Ramtin Pedarsani , Mahnoosh Alizadeh

We consider the classical stochastic multi-armed bandit problem with a constraint that limits the total cost incurred by switching between actions to be no larger than a given switching budget. For this problem, we prove matching upper and…

Machine Learning · Computer Science 2021-03-22 David Simchi-Levi , Yunzong Xu

We study the constrained variant of the \emph{multi-armed bandit} (MAB) problem, in which the learner aims not only at minimizing the total loss incurred during the learning dynamic, but also at controlling the violation of multiple…

Machine Learning · Computer Science 2026-02-17 Francesco Emanuele Stradi , Kalana Kalupahana , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study finite-armed stochastic bandits where the rewards of each arm might be correlated to those of other arms. We introduce a novel phased algorithm that exploits the given structure to build confidence sets over the parameters of the…

Machine Learning · Computer Science 2020-05-26 Andrea Tirinzoni , Alessandro Lazaric , Marcello Restelli

In this work, we investigate the problem of adapting to the presence or absence of causal structure in multi-armed bandit problems. In addition to the usual reward signal, we assume the learner has access to additional variables, observed…

Machine Learning · Computer Science 2024-07-02 Ziyi Liu , Idan Attias , Daniel M. Roy

In this paper, we consider the distributed stochastic multi-armed bandit problem, where a global arm set can be accessed by multiple players independently. The players are allowed to exchange their history of observations with each other at…

Machine Learning · Computer Science 2020-02-13 Shuang Liu , Cheng Chen , Zhihua Zhang

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…

Machine Learning · Computer Science 2019-06-11 Omar Besbes , Yonatan Gur , Assaf Zeevi

Dueling bandits is a prominent framework for decision-making involving preferential feedback, a valuable feature that fits various applications involving human interaction, such as ranking, information retrieval, and recommendation systems.…

Machine Learning · Computer Science 2024-10-16 Qiwei Di , Tao Jin , Yue Wu , Heyang Zhao , Farzad Farnoud , Quanquan Gu

We present a new strategy for gap estimation in randomized algorithms for multiarmed bandits and combine it with the EXP3++ algorithm of Seldin and Slivkins (2014). In the stochastic regime the strategy reduces dependence of regret on a…

Machine Learning · Computer Science 2017-05-10 Yevgeny Seldin , Gábor Lugosi

We introduce the problem of regret minimization in adversarial multi-dueling bandits. While adversarial preferences have been studied in dueling bandits, they have not been explored in multi-dueling bandits. In this setting, the learner is…

Machine Learning · Computer Science 2024-06-27 Pratik Gajane

We consider the problem of online fair division of indivisible goods to players when there are a finite number of types of goods and player values are drawn from distributions with unknown means. Our goal is to maximize social welfare…

Computer Science and Game Theory · Computer Science 2024-12-10 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

We consider the combinatorial multi-armed bandit (CMAB) problem, where the reward function is nonlinear. In this setting, the agent chooses a batch of arms on each round and receives feedback from each arm of the batch. The reward that the…

Machine Learning · Computer Science 2020-06-09 Nadav Merlis , Shie Mannor

There are two variants of the classical multi-armed bandit (MAB) problem that have received considerable attention from machine learning researchers in recent years: contextual bandits and simple regret minimization. Contextual bandits are…

Machine Learning · Statistics 2020-02-27 Aniket Anand Deshmukh , Srinagesh Sharma , James W. Cutler , Mark Moldwin , Clayton Scott

We consider the classical multi-armed bandit problem, but with strategic arms. In this context, each arm is characterized by a bounded support reward distribution and strategically aims to maximize its own utility by potentially retaining a…

Machine Learning · Computer Science 2025-01-28 Ahmed Ben Yahmed , Clément Calauzènes , Vianney Perchet

We study the problem of adversarial combinatorial bandit with a switching cost $\lambda$ for a switch of each selected arm in each round, considering both the bandit feedback and semi-bandit feedback settings. In the oblivious adversarial…

Machine Learning · Statistics 2024-04-03 Yanyan Dong , Vincent Y. F. Tan

Stochastic multi-armed bandit (MAB) mechanisms are widely used in sponsored search auctions, crowdsourcing, online procurement, etc. Existing stochastic MAB mechanisms with a deterministic payment rule, proposed in the literature,…

Computer Science and Game Theory · Computer Science 2020-06-01 Divya Padmanabhan , Satyanath Bhat , Prabuchandran K. J. , Shirish Shevade , Y. Narahari

We consider a decentralized multi-agent Multi Armed Bandit (MAB) setup consisting of $N$ agents, solving the same MAB instance to minimize individual cumulative regret. In our model, agents collaborate by exchanging messages through…

Machine Learning · Computer Science 2024-07-04 Ronshee Chawla , Abishek Sankararaman , Ayalvadi Ganesh , Sanjay Shakkottai

An adversarial bandit problem with memory constraints is studied where only the statistics of a subset of arms can be stored. A hierarchical learning policy that requires only a sublinear order of memory space in terms of the number of arms…

Machine Learning · Computer Science 2021-05-12 Xiao Xu , Qing Zhao

Modern systems, such as digital platforms and service systems, increasingly rely on contextual bandits for online decision-making; however, their deployment can inadvertently create unfair exposure among arms, undermining long-term platform…

Machine Learning · Statistics 2026-02-05 Qingwen Zhang , Wenjia Wang

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
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