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Multi-armed bandits are one of the theoretical pillars of reinforcement learning. Recently, the investigation of quantum algorithms for multi-armed bandit problems was started, and it was found that a quadratic speed-up (in query…

量子物理 · 物理学 2025-03-26 Simon Buchholz , Jonas M. Kübler , Bernhard Schölkopf

In this paper, we study a variant of best-arm identification involving elements of risk sensitivity and communication constraints. Specifically, the goal of the learner is to identify the arm with the highest quantile reward, while the…

机器学习 · 统计学 2025-02-11 Ivan Lau , Jonathan Scarlett

In this paper, we consider a bandit problem in which there are a number of groups each consisting of infinitely many arms. Whenever a new arm is requested from a given group, its mean reward is drawn from an unknown reservoir distribution…

机器学习 · 统计学 2023-02-02 Ivan Lau , Yan Hao Ling , Mayank Shrivastava , Jonathan Scarlett

We propose an algorithm for stochastic and adversarial multiarmed bandits with switching costs, where the algorithm pays a price $\lambda$ every time it switches the arm being played. Our algorithm is based on adaptation of the Tsallis-INF…

机器学习 · 计算机科学 2021-02-22 Chloé Rouyer , Yevgeny Seldin , Nicolò Cesa-Bianchi

We consider minimisation of dynamic regret in non-stationary bandits with a slowly varying property. Namely, we assume that arms' rewards are stochastic and independent over time, but that the absolute difference between the expected…

机器学习 · 计算机科学 2021-10-26 Ramakrishnan Krishnamurthy , Aditya Gopalan

Learning in multi-player games can model a large variety of practical scenarios, where each player seeks to optimize its own local objective function, which at the same time relies on the actions taken by others. Motivated by the frequent…

最优化与控制 · 数学 2023-09-08 Yuanhanqing Huang , Jianghai Hu

We study incentivized exploration for the multi-armed bandit (MAB) problem with non-stationary reward distributions, where players receive compensation for exploring arms other than the greedy choice and may provide biased feedback on the…

机器学习 · 计算机科学 2024-03-19 Sourav Chakraborty , Lijun Chen

Lipschitz bandit is a variant of stochastic bandits that deals with a continuous arm set defined on a metric space, where the reward function is subject to a Lipschitz constraint. In this paper, we introduce a new problem of Lipschitz…

机器学习 · 计算机科学 2023-10-10 Yue Kang , Cho-Jui Hsieh , Thomas C. M. Lee

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 examine a multi-armed bandit problem with contextual information, where the objective is to ensure that each arm receives a minimum aggregated reward across contexts while simultaneously maximizing the total cumulative reward. This…

机器学习 · 计算机科学 2025-10-15 Ahmed Ben Yahmed , Hafedh El Ferchichi , Marc Abeille , Vianney Perchet

We consider a multi-armed bandit framework where the rewards obtained by pulling different arms are correlated. We develop a unified approach to leverage these reward correlations and present fundamental generalizations of classic bandit…

机器学习 · 统计学 2021-09-13 Samarth Gupta , Shreyas Chaudhari , Gauri Joshi , Osman Yağan

While classical formulations of multi-armed bandit problems assume that each arm's reward is independent and stationary, real-world applications often involve non-stationary environments and interdependencies between arms. In particular,…

机器学习 · 计算机科学 2025-06-19 Ryoma Sato , Shinji Ito

We study stochastic linear optimization problem with bandit feedback. The set of arms take values in an $N$-dimensional space and belong to a bounded polyhedron described by finitely many linear inequalities. We provide a lower bound for…

机器学习 · 计算机科学 2015-09-29 Manjesh K. Hanawal , Amir Leshem , Venkatesh Saligrama

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

Can an intelligent jammer learn and adapt to unknown environments in an electronic warfare-type scenario? In this paper, we answer this question in the positive, by developing a cognitive jammer that adaptively and optimally disrupts the…

信息论 · 计算机科学 2014-11-14 SaiDhiraj Amuru , Cem Tekin , Mihaela van der Schaar , R. Michael Buehrer

This paper investigates the fusion of absolute (reward) and relative (dueling) feedback in stochastic bandits, where both feedback types are gathered in each decision round. We derive a regret lower bound, demonstrating that an efficient…

机器学习 · 计算机科学 2025-04-23 Xuchuang Wang , Qirun Zeng , Jinhang Zuo , Xutong Liu , Mohammad Hajiesmaili , John C. S. Lui , Adam Wierman

We consider regret minimization in a general collaborative multi-agent multi-armed bandit model, in which each agent faces a finite set of arms and may communicate with other agents through a central controller. The optimal arm for each…

机器学习 · 计算机科学 2023-12-18 Amitis Shidani , Sattar Vakili

We study the Stochastic Multi-armed Bandit problem under bounded arm-memory. In this setting, the arms arrive in a stream, and the number of arms that can be stored in the memory at any time, is bounded. The decision-maker can only pull…

机器学习 · 计算机科学 2020-12-10 Arnab Maiti , Vishakha Patil , Arindam Khan

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied

This paper considers a multi-armed bandit (MAB) problem in which multiple mobile agents receive rewards by sampling from a collection of spatially dispersed stochastic processes, called bandits. The goal is to formulate a decentralized…

机器学习 · 计算机科学 2020-04-01 Pathmanathan Pankayaraj , D. H. S. Maithripala , J. M. Berg
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