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In this paper, we introduce a multi-armed bandit problem termed max-min grouped bandits, in which the arms are arranged in possibly-overlapping groups, and the goal is to find the group whose worst arm has the highest mean reward. This…

机器学习 · 统计学 2022-03-16 Zhenlin Wang , Jonathan Scarlett

We study the matroid semi-bandits problem, where at each round the learner plays a subset of $K$ arms from a feasible set, and the goal is to maximize the expected cumulative linear rewards. Existing algorithms have per-round time…

机器学习 · 计算机科学 2024-05-29 Ruo-Chun Tzeng , Naoto Ohsaka , Kaito Ariu

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

信号处理 · 电气工程与系统科学 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

Machine learning algorithms are often repeatedly applied to problems with similar structure over and over again. We focus on solving a sequence of bandit optimization tasks and develop LIBO, an algorithm which adapts to the environment by…

机器学习 · 统计学 2023-06-21 Felix Schur , Parnian Kassraie , Jonas Rothfuss , Andreas Krause

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…

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

We study the stochastic multi-armed bandits problem in the presence of adversarial corruption. We present a new algorithm for this problem whose regret is nearly optimal, substantially improving upon previous work. Our algorithm is agnostic…

机器学习 · 计算机科学 2019-03-29 Anupam Gupta , Tomer Koren , Kunal Talwar

Continuously learning and leveraging the knowledge accumulated from prior tasks in order to improve future performance is a long standing machine learning problem. In this paper, we study the problem in the multi-armed bandit framework with…

机器学习 · 计算机科学 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

We consider a budget-constrained bandit problem where each arm pull incurs a random cost, and yields a random reward in return. The objective is to maximize the total expected reward under a budget constraint on the total cost. The model is…

机器学习 · 计算机科学 2020-03-03 Semih Cayci , Atilla Eryilmaz , R. Srikant

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of…

机器学习 · 计算机科学 2025-01-24 Zhirui Chen , P. N. Karthik , Yeow Meng Chee , Vincent Y. F. Tan

We consider a decentralized multiplayer game, played over $T$ rounds, with a leader-follower hierarchy described by a directed acyclic graph. For each round, the graph structure dictates the order of the players and how players observe the…

机器学习 · 计算机科学 2023-01-30 Johan Östman , Ather Gattami , Daniel Gillblad

The Multi-Armed Bandit problem provides a fundamental framework for analyzing the tension between exploration and exploitation in sequential learning. This paper explores Information Directed Sampling (IDS) policies, a class of heuristics…

机器学习 · 计算机科学 2025-12-24 Annika Hirling , Giorgio Nicoletti , Antonio Celani

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

This paper presents an efficient algorithm to solve the sleeping bandit with multiple plays problem in the context of an online recommendation system. The problem involves bounded, adversarial loss and unknown i.i.d. distributions for arm…

机器学习 · 计算机科学 2023-07-28 Jianjun Yuan , Wei Lee Woon , Ludovik Coba

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

This paper proposes a new method for the K-armed dueling bandit problem, a variation on the regular K-armed bandit problem that offers only relative feedback about pairs of arms. Our approach extends the Upper Confidence Bound algorithm to…

机器学习 · 计算机科学 2013-12-18 Masrour Zoghi , Shimon Whiteson , Remi Munos , Maarten de Rijke

We consider a multi-armed bandit problem motivated by situations where only the extreme values, as opposed to expected values in the classical bandit setting, are of interest. We propose distribution free algorithms using robust statistics…

机器学习 · 统计学 2021-09-10 Sujay Bhatt , Ping Li , Gennady Samorodnitsky

We analyze the $K$-armed bandit problem where the reward for each arm is a noisy realization based on an observed context under mild nonparametric assumptions. We attain tight results for top-arm identification and a sublinear regret of…

机器学习 · 计算机科学 2018-01-08 Melody Y. Guan , Heinrich Jiang

We consider the framework of stochastic multi-armed bandit problems and study the possibilities and limitations of forecasters that perform an on-line exploration of the arms. These forecasters are assessed in terms of their simple regret,…

统计理论 · 数学 2010-07-26 Sébastien Bubeck , Rémi Munos , Gilles Stoltz

We study the multi-armed bandit problem with multiple plays and a budget constraint for both the stochastic and the adversarial setting. At each round, exactly $K$ out of $N$ possible arms have to be played (with $1\leq K \leq N$). In…

机器学习 · 计算机科学 2017-11-17 Datong P. Zhou , Claire J. Tomlin

We investigate a natural but surprisingly unstudied approach to the multi-armed bandit problem under safety risk constraints. Each arm is associated with an unknown law on safety risks and rewards, and the learner's goal is to maximise…

机器学习 · 计算机科学 2022-04-05 Tianrui Chen , Aditya Gangrade , Venkatesh Saligrama