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The Colonel Blotto game is a renowned resource allocation problem with a long-standing literature in game theory (almost 100 years). However, its scope of application is still restricted by the lack of studies on the incomplete-information…

计算机科学与博弈论 · 计算机科学 2019-09-12 Dong Quan Vu , Patrick Loiseau , Alonso Silva

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

机器学习 · 计算机科学 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian

We consider the non-stochastic version of the (cooperative) multi-player multi-armed bandit problem. The model assumes no communication at all between the players, and furthermore when two (or more) players select the same action this…

机器学习 · 计算机科学 2019-05-03 Sébastien Bubeck , Yuanzhi Li , Yuval Peres , Mark Sellke

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.…

机器学习 · 计算机科学 2024-10-16 Qiwei Di , Tao Jin , Yue Wu , Heyang Zhao , Farzad Farnoud , Quanquan Gu

We study the stochastic Multiplayer Multi-Armed Bandit (MMAB) problem, where multiple players select arms to maximize their cumulative rewards. Collisions occur when two or more players select the same arm, resulting in no reward, and are…

机器学习 · 计算机科学 2025-10-09 Daoyuan Zhou , Xuchuang Wang , Lin Yang , Yang Gao

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

计算机科学与博弈论 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

We study a decentralized multi-agent multi-armed bandit problem in which multiple clients are connected by time dependent random graphs provided by an environment. The reward distributions of each arm vary across clients and rewards are…

机器学习 · 计算机科学 2023-10-19 Mengfan Xu , Diego Klabjan

We study the problem of multi-agent coordination in unpredictable and partially observable environments, that is, environments whose future evolution is unknown a priori and that can only be partially observed. We are motivated by the…

系统与控制 · 电气工程与系统科学 2023-05-29 Zirui Xu , Xiaofeng Lin , Vasileios Tzoumas

We study the adversarial multi-armed bandit problem where partial observations are available and where, in addition to the loss incurred for each action, a \emph{switching cost} is incurred for shifting to a new action. All previously known…

机器学习 · 计算机科学 2020-03-24 Raman Arora , Teodor V. Marinov , Mehryar Mohri

We consider the sequential optimization of an unknown, continuous, and expensive to evaluate reward function, from noisy and adversarially corrupted observed rewards. When the corruption attacks are subject to a suitable budget $C$ and the…

机器学习 · 统计学 2022-03-30 Ilija Bogunovic , Zihan Li , Andreas Krause , Jonathan Scarlett

The stochastic multi-armed bandit model is a simple abstraction that has proven useful in many different contexts in statistics and machine learning. Whereas the achievable limit in terms of regret minimization is now well known, our aim is…

机器学习 · 统计学 2016-11-15 Emilie Kaufmann , Olivier Cappé , Aurélien Garivier

In federated multi-armed bandit problems, maximizing global reward while satisfying minimum privacy requirements to protect clients is the main goal. To formulate such problems, we consider a combinatorial contextual bandit setting with…

机器学习 · 计算机科学 2023-07-11 Sepehr Elahi , Baran Atalar , Sevda Öğüt , Cem Tekin

In this paper, we explore the benefit of cooperation in adversarial bandit settings. As a motivating example, we consider the problem of wireless network selection. Mobile devices are often required to choose the right network to associate…

网络与互联网体系结构 · 计算机科学 2019-01-24 Anuja Meetoo Appavoo , Seth Gilbert , Kian-Lee Tan

This paper considers the problem of distributed bandit online convex optimization with time-varying coupled inequality constraints. This problem can be defined as a repeated game between a group of learners and an adversary. The learners…

最优化与控制 · 数学 2019-12-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Karl H. Johansson , Tianyou Chai

Motivated by applications of bandit algorithms in education, we consider a stochastic multi-armed bandit problem with $\varepsilon$-contaminated rewards. We allow an adversary to give arbitrary unbounded contaminated rewards with full…

机器学习 · 统计学 2020-06-19 Laura Niss , Ambuj Tewari

We improve the efficiency of algorithms for stochastic \emph{combinatorial semi-bandits}. In most interesting problems, state-of-the-art algorithms take advantage of structural properties of rewards, such as \emph{independence}. However,…

机器学习 · 统计学 2019-06-24 Pierre Perrault , Vianney Perchet , Michal Valko

We study distributed adversarial bandits, where $N$ agents cooperate to minimize the global average loss while observing only their own local losses. We show that the minimax regret for this problem is…

机器学习 · 计算机科学 2026-02-09 Hao Qiu , Mengxiao Zhang , Nicolò Cesa-Bianchi

This paper investigates stochastic and adversarial combinatorial multi-armed bandit problems. In the stochastic setting under semi-bandit feedback, we derive a problem-specific regret lower bound, and discuss its scaling with the dimension…

机器学习 · 计算机科学 2015-11-09 Richard Combes , M. Sadegh Talebi , Alexandre Proutiere , Marc Lelarge

We propose a novel combinatorial stochastic-greedy bandit (SGB) algorithm for combinatorial multi-armed bandit problems when no extra information other than the joint reward of the selected set of $n$ arms at each time step $t\in [T]$ is…

机器学习 · 计算机科学 2023-12-14 Fares Fourati , Christopher John Quinn , Mohamed-Slim Alouini , Vaneet Aggarwal

We study small-loss bounds for adversarial multi-armed bandits with graph feedback, that is, adaptive regret bounds that depend on the loss of the best arm or related quantities, instead of the total number of rounds. We derive the first…

机器学习 · 计算机科学 2020-06-24 Chung-Wei Lee , Haipeng Luo , Mengxiao Zhang