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Best arm identification (or, pure exploration) in multi-armed bandits is a fundamental problem in machine learning. In this paper we study the distributed version of this problem where we have multiple agents, and they want to learn the…

机器学习 · 计算机科学 2019-09-02 Chao Tao , Qin Zhang , Yuan Zhou

We investigate top-$m$ arm identification, a basic problem in bandit theory, in a multi-agent learning model in which agents collaborate to learn an objective function. We are interested in designing collaborative learning algorithms that…

机器学习 · 计算机科学 2022-11-29 Nikolai Karpov , Qin Zhang

In this paper, we study the tradeoffs between the time and the number of communication rounds of the best arm identification problem in the heterogeneous collaborative learning model, where multiple agents interact with possibly different…

机器学习 · 计算机科学 2024-04-19 Nikolai Karpov , Qin Zhang

The notion that cooperation can aid a group of agents to solve problems more efficiently than if those agents worked in isolation is prevalent, despite the little quantitative groundwork to support it. Here we consider a primordial form of…

适应与自组织系统 · 物理学 2014-10-22 José F. Fontanari

We consider an online estimation problem involving a set of agents. Each agent has access to a (personal) process that generates samples from a real-valued distribution and seeks to estimate its mean. We study the case where some of the…

机器学习 · 计算机科学 2022-12-20 Mahsa Asadi , Aurélien Bellet , Odalric-Ambrym Maillard , Marc Tommasi

Sampling from distributions to find the one with the largest mean arises in a broad range of applications, and it can be mathematically modeled as a multi-armed bandit problem in which each distribution is associated with an arm. This paper…

机器学习 · 统计学 2013-06-18 Kevin Jamieson , Matthew Malloy , Robert Nowak , Sebastien Bubeck

Current approaches to multi-agent cooperation rely heavily on centralized mechanisms or explicit communication protocols to ensure convergence. This paper studies the problem of distributed multi-agent learning without resorting to…

多智能体系统 · 计算机科学 2025-08-19 Caroline Wang , Ishan Durugkar , Elad Liebman , Peter Stone

We study the problem of finding the most mutually correlated arms among many arms. We show that adaptive arms sampling strategies can have significant advantages over the non-adaptive uniform sampling strategy. Our proposed algorithms rely…

机器学习 · 统计学 2014-04-24 Che-Yu Liu , Sébastien Bubeck

We consider a K-armed bandit problem in general graphs where agents are arbitrarily connected and each of them has limited memorizing capabilities and communication bandwidth. The goal is to let each of the agents eventually learn the best…

机器学习 · 计算机科学 2023-05-09 Feng Li , Xuyang Yuan , Lina Wang , Huan Yang , Dongxiao Yu , Weifeng Lv , Xiuzhen Cheng

Sequential decision-making under uncertainty often involves multiple agents learning which actions (arms) yield the highest rewards through repeated interaction with a stochastic environment. This setting is commonly modeled by cooperative…

系统与控制 · 电气工程与系统科学 2026-03-25 Evagoras Makridis , Themistoklis Charalambous

We study a distributed decision-making problem in which multiple agents face the same multi-armed bandit (MAB), and each agent makes sequential choices among arms to maximize its own individual reward. The agents cooperate by sharing their…

最优化与控制 · 数学 2020-08-13 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

This work studies the intersection of continual and federated learning, in which independent agents face unique tasks in their environments and incrementally develop and share knowledge. We introduce a mathematical framework capturing the…

机器学习 · 计算机科学 2024-12-24 Long Le , Marcel Hussing , Eric Eaton

Given a finite set of unknown distributions or arms that can be sampled, we consider the problem of identifying the one with the maximum mean using a $\delta$-correct algorithm (an adaptive, sequential algorithm that restricts the…

机器学习 · 计算机科学 2023-11-27 Shubhada Agrawal , Sandeep Juneja , Peter Glynn

We consider a multi-agent reinforcement learning problem where each agent seeks to maximize a shared reward while interacting with other agents, and they may or may not be able to communicate. Typically the agents do not have access to…

多智能体系统 · 计算机科学 2021-04-26 Alex Tong Lin , Mark J. Debord , Katia Estabridis , Gary Hewer , Guido Montufar , Stanley Osher

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

We study a cooperative multi-agent multi-armed bandits with M agents and K arms. The goal of the agents is to minimized the cumulative regret. We adapt a traditional Thompson Sampling algoirthm under the distributed setting. However, with…

人工智能 · 计算机科学 2021-09-10 Jing Dong , Tan Li , Shaolei Ren , Linqi Song

We consider the problem of selecting a seed set to maximize the expected number of influenced nodes in the social network, referred to as the \textit{influence maximization} (IM) problem. We assume that the topology of the social network is…

机器学习 · 计算机科学 2019-11-26 Xiaojin Zhang

In numerous settings, agents lack sufficient data to directly learn a model. Collaborating with other agents may help, but it introduces a bias-variance trade-off, when local data distributions differ. A key challenge is for each agent to…

机器学习 · 计算机科学 2025-02-20 Franco Galante , Giovanni Neglia , Emilio Leonardi

Over the past few years, the multi-armed bandit model has become increasingly popular in the machine learning community, partly because of applications including online content optimization. This paper reviews two different sequential…

机器学习 · 计算机科学 2017-11-08 Emilie Kaufmann , Aurélien Garivier

This paper introduces a general multi-agent bandit model in which each agent is facing a finite set of arms and may communicate with other agents through a central controller in order to identify, in pure exploration, or play, in regret…

机器学习 · 计算机科学 2022-10-31 Clémence Réda , Sattar Vakili , Emilie Kaufmann
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