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In this paper, we investigate the stochastic contextual bandit with general function space and graph feedback. We propose an algorithm that addresses this problem by adapting to both the underlying graph structures and reward gaps. To the…

机器学习 · 计算机科学 2024-01-09 Xueping Gong , Jiheng Zhang

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…

统计理论 · 数学 2008-12-18 Aurélien Garivier , Eric Moulines

We consider the restless multi-armed bandit (RMAB) problem with unknown dynamics in which a player chooses M out of N arms to play at each time. The reward state of each arm transits according to an unknown Markovian rule when it is played…

最优化与控制 · 数学 2011-12-30 Haoyang Liu , Keqin Liu , Qing Zhao

We here adopt Bayesian nonparametric mixture models to extend multi-armed bandits in general, and Thompson sampling in particular, to scenarios where there is reward model uncertainty. In the stochastic multi-armed bandit, the reward for…

机器学习 · 统计学 2022-08-26 Iñigo Urteaga , Chris H. Wiggins

We study fair multi-agent multi-armed bandit learning under collision-only coordination. Agents cannot communicate explicitly during learning and observe only their own rewards and whether collisions occur when several agents access the…

机器学习 · 计算机科学 2026-05-05 Amir Leshem

We consider a novel stochastic multi-armed bandit setting, where playing an arm makes it unavailable for a fixed number of time slots thereafter. This models situations where reusing an arm too often is undesirable (e.g. making the same…

机器学习 · 计算机科学 2024-07-31 Soumya Basu , Rajat Sen , Sujay Sanghavi , Sanjay Shakkottai

In this paper, we study the collaborative learning model, which concerns the tradeoff between parallelism and communication overhead in multi-agent multi-armed bandits. For regret minimization in multi-armed bandits, we present the first…

机器学习 · 计算机科学 2023-12-22 Nikolai Karpov , Qin Zhang

We consider the nonstochastic multi-agent multi-armed bandit problem with agents collaborating via a communication network with delays. We show a lower bound for individual regret of all agents. We show that with suitable regularizers and…

机器学习 · 统计学 2023-10-24 Jialin Yi , Milan Vojnović

We introduce a novel online learning framework that unifies and generalizes pre-established models, such as delayed and corrupted feedback, to encompass adversarial environments where action feedback evolves over time. In this setting, the…

机器学习 · 计算机科学 2024-05-28 Yogev Bar-On , Yishay Mansour

Various approaches have emerged for multi-armed bandits in distributed systems. The multiplayer dueling bandit problem, common in scenarios with only preference-based information like human feedback, introduces challenges related to…

机器学习 · 计算机科学 2025-04-24 Or Raveh , Junya Honda , Masashi Sugiyama

Optimal regret bounds for Multi-Armed Bandit problems are now well documented. They can be classified into two categories based on the growth rate with respect to the time horizon $T$: (i) small, distribution-dependent, bounds of order of…

数据结构与算法 · 计算机科学 2017-04-12 Arthur Flajolet , Patrick Jaillet

We study the stochastic multi-armed bandit problem when one knows the value $\mu^{(\star)}$ of an optimal arm, as a well as a positive lower bound on the smallest positive gap $\Delta$. We propose a new randomized policy that attains a…

统计理论 · 数学 2013-02-13 Sébastien Bubeck , Vianney Perchet , Philippe Rigollet

We study the problem of regret minimization for distributed bandits learning, in which $M$ agents work collaboratively to minimize their total regret under the coordination of a central server. Our goal is to design communication protocols…

机器学习 · 计算机科学 2019-05-30 Yuanhao Wang , Jiachen Hu , Xiaoyu Chen , Liwei Wang

We formulate and study a decentralized multi-armed bandit (MAB) problem. There are M distributed players competing for N independent arms. Each arm, when played, offers i.i.d. reward according to a distribution with an unknown parameter. At…

最优化与控制 · 数学 2015-05-14 Keqin Liu , Qing Zhao

Recent works have shown that agents facing independent instances of a stochastic $K$-armed bandit can collaborate to decrease regret. However, these works assume that each agent always recommends their individual best-arm estimates to other…

机器学习 · 计算机科学 2022-03-02 Daniel Vial , Sanjay Shakkottai , R. Srikant

We study the stochastic multi-armed bandit problem in the $P$-pass streaming model. In this problem, the $n$ arms are present in a stream and at most $m<n$ arms and their statistics can be stored in the memory. We give a complete…

机器学习 · 计算机科学 2024-07-09 Yuchen He , Zichun Ye , Chihao Zhang

In this paper we initiate the study of optimization of bandit type problems in scenarios where the feedback of a play is not immediately known. This arises naturally in allocation problems which have been studied extensively in the…

数据结构与算法 · 计算机科学 2015-03-17 Sudipto Guha , Kamesh Munagala , Martin Pal

We study the stochastic combinatorial semi-bandit problem with unrestricted feedback delays under merit-based fairness constraints. This is motivated by applications such as crowdsourcing, and online advertising, where immediate feedback is…

机器学习 · 计算机科学 2024-07-30 Ziqun Chen , Kechao Cai , Zhuoyue Chen , Jinbei Zhang , John C. S. Lui

This paper studies a variant of two-player zero-sum matrix games, where, at each timestep, the row player selects row $i$, the column player selects column $j$, and the row player receives a noisy reward with expected value $A_{i,j}$, along…

机器学习 · 计算机科学 2025-05-27 Arnab Maiti , Kevin Jamieson , Lillian J. Ratliff

Motivated by a natural problem in online model selection with bandit information, we introduce and analyze a best arm identification problem in the rested bandit setting, wherein arm expected losses decrease with the number of times the arm…

机器学习 · 统计学 2020-12-08 Leonardo Cella , Claudio Gentile , Massimiliano Pontil