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Identifying the best arm of a multi-armed bandit is a central problem in bandit optimization. We study a quantum computational version of this problem with coherent oracle access to states encoding the reward probabilities of each arm as…

Quantum Physics · Physics 2023-02-02 Daochen Wang , Xuchen You , Tongyang Li , Andrew M. Childs

In this paper, we study \emph{Federated Bandit}, a decentralized Multi-Armed Bandit problem with a set of $N$ agents, who can only communicate their local data with neighbors described by a connected graph $G$. Each agent makes a sequence…

Machine Learning · Computer Science 2021-04-08 Zhaowei Zhu , Jingxuan Zhu , Ji Liu , Yang Liu

We study the pure exploration problem subject to a matroid constraint (Best-Basis) in a stochastic multi-armed bandit game. In a Best-Basis instance, we are given $n$ stochastic arms with unknown reward distributions, as well as a matroid…

Machine Learning · Computer Science 2016-05-26 Lijie Chen , Anupam Gupta , Jian Li

This work investigates the problem of best arm identification for multi-agent multi-armed bandits. We consider $N$ agents grouped into $M$ clusters, where each cluster solves a stochastic bandit problem. The mapping between agents and…

Machine Learning · Computer Science 2025-05-16 Yash , Nikhil Karamchandani , Avishek Ghosh

We present a provably optimal differentially private algorithm for the stochastic multi-arm bandit problem, as opposed to the private analogue of the UCB-algorithm [Mishra and Thakurta, 2015; Tossou and Dimitrakakis, 2016] which doesn't…

Machine Learning · Statistics 2019-05-24 Touqir Sajed , Or Sheffet

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more…

Machine Learning · Computer Science 2013-11-05 Nicolò Cesa-Bianchi , Claudio Gentile , Giovanni Zappella

We study exploration in stochastic multi-armed bandits when we have access to a divisible resource that can be allocated in varying amounts to arm pulls. We focus in particular on the allocation of distributed computing resources, where we…

Machine Learning · Computer Science 2021-06-08 Brijen Thananjeyan , Kirthevasan Kandasamy , Ion Stoica , Michael I. Jordan , Ken Goldberg , Joseph E. Gonzalez

Based on differential privacy (DP) framework, we introduce and unify privacy definitions for the multi-armed bandit algorithms. We represent the framework with a unified graphical model and use it to connect privacy definitions. We derive…

Machine Learning · Computer Science 2020-06-25 Debabrota Basu , Christos Dimitrakakis , Aristide Tossou

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several sources (arms) of items (rewards), and interested in finding the best item overall. At each time step the agent chooses an arm, and obtains a random…

Machine Learning · Statistics 2015-08-25 Yahel David , Nahum Shimkin

We consider a fully decentralized multi-player stochastic multi-armed bandit setting where the players cannot communicate with each other and can observe only their own actions and rewards. The environment may appear differently to…

Machine Learning · Computer Science 2021-12-30 Akshayaa Magesh , Venugopal V. Veeravalli

Multi-player multi-armed bandits (MMAB) study how decentralized players cooperatively play the same multi-armed bandit so as to maximize their total cumulative rewards. Existing MMAB models mostly assume when more than one player pulls the…

Machine Learning · Computer Science 2022-04-29 Xuchuang Wang , Hong Xie , John C. S. Lui

We study best-arm identification in stochastic multi-armed bandits under the fixed-confidence setting, focusing on instances with multiple optimal arms. Unlike prior work that addresses the unknown-number-of-optimal-arms case, we consider…

Machine Learning · Computer Science 2026-03-05 Lan V. Truong

Learning paradigms based purely on offline data as well as those based solely on sequential online learning have been well-studied in the literature. In this paper, we consider combining offline data with online learning, an area less…

Machine Learning · Computer Science 2023-06-16 Shubhada Agrawal , Sandeep Juneja , Karthikeyan Shanmugam , Arun Sai Suggala

The cooperative bandit problem is a multi-agent decision problem involving a group of agents that interact simultaneously with a multi-armed bandit, while communicating over a network with delays. The central idea in this problem is to…

Machine Learning · Statistics 2022-05-31 Abhimanyu Dubey , Alex Pentland

We propose a generalization of the best arm identification problem in stochastic multi-armed bandits (MAB) to the setting where every pull of an arm is associated with delayed feedback. The delay in feedback increases the effective sample…

Stochastic multi-armed bandits solve the Exploration-Exploitation dilemma and ultimately maximize the expected reward. Nonetheless, in many practical problems, maximizing the expected reward is not the most desirable objective. In this…

Machine Learning · Computer Science 2013-01-10 Amir Sani , Alessandro Lazaric , Rémi Munos

We study the problem of best-arm identification in a distributed variant of the multi-armed bandit setting, with a central learner and multiple agents. Each agent is associated with an arm of the bandit, generating stochastic rewards…

Machine Learning · Computer Science 2023-05-02 Fathima Zarin Faizal , Adway Girish , Manjesh Kumar Hanawal , Nikhil Karamchandani

We consider the problem of identifying any $k$ out of the best $m$ arms in an $n$-armed stochastic multi-armed bandit. Framed in the PAC setting, this particular problem generalises both the problem of `best subset selection' and that of…

Machine Learning · Computer Science 2019-01-25 Arghya Roy Chaudhuri , Shivaram Kalyanakrishnan

Decentralized optimization enables a network of agents to cooperatively optimize an overall objective function without a central coordinator and is gaining increased attention in domains as diverse as control, sensor networks, data mining,…

Optimization and Control · Mathematics 2023-12-27 Yongqiang Wang , Angelia Nedic

Combinatorial bandits with semi-bandit feedback generalize multi-armed bandits, where the agent chooses sets of arms and observes a noisy reward for each arm contained in the chosen set. The action set satisfies a given structure such as…

Machine Learning · Statistics 2021-01-22 Marc Jourdan , Mojmír Mutný , Johannes Kirschner , Andreas Krause