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We consider model-based reinforcement learning in finite Markov De- cision Processes (MDPs), focussing on so-called optimistic strategies. In MDPs, optimism can be implemented by carrying out extended value it- erations under a constraint…

Machine Learning · Computer Science 2011-09-22 Sarah Filippi , Olivier Cappé , Aurélien Garivier

We study the problem of best arm identification in linearly parameterised multi-armed bandits. Given a set of feature vectors $\mathcal{X}\subset\mathbb{R}^d,$ a confidence parameter $\delta$ and an unknown vector $\theta^*,$ the goal is to…

Machine Learning · Computer Science 2020-06-16 Mohammadi Zaki , Avi Mohan , Aditya Gopalan

Policy regret is a well established notion of measuring the performance of an online learning algorithm against an adaptive adversary. We study restrictions on the adversary that enable efficient minimization of the \emph{complete policy…

Machine Learning · Statistics 2022-04-26 Dhruv Malik , Yuanzhi Li , Aarti Singh

We study offline reinforcement learning under $Q^\star$-approximation and partial coverage, a setting that motivates practical algorithms such as Conservative $Q$-Learning (CQL; Kumar et al., 2020) but has received limited theoretical…

Machine Learning · Computer Science 2026-02-13 Haolin Liu , Braham Snyder , Chen-Yu Wei

Bandit optimization usually refers to the class of online optimization problems with limited feedback, namely, a decision maker uses only the objective value at the current point to make a new decision and does not have access to the…

Machine Learning · Computer Science 2026-02-18 Yuriy Dorn , Aleksandr Katrutsa , Ilgam Latypov , Anastasiia Soboleva

We study offline reinforcement learning in average-reward MDPs, which presents increased challenges from the perspectives of distribution shift and non-uniform coverage, and has been relatively underexamined from a theoretical perspective.…

Machine Learning · Computer Science 2026-04-23 Matthew Zurek , Guy Zamir , Yudong Chen

Contextual multi-armed bandit is a fundamental learning framework for making a sequence of decisions, e.g., advertising recommendations for a sequence of arriving users. Recent works have shown that clustering these users based on the…

Machine Learning · Computer Science 2025-10-28 Jingyuan Liu , Zeyu Zhang , Xuchuang Wang , Xutong Liu , John C. S. Lui , Mohammad Hajiesmaili , Carlee Joe-Wong

This paper introduces a federated learning framework tailored for online combinatorial optimization with bandit feedback. In this setting, agents select subsets of arms, observe noisy rewards for these subsets without accessing individual…

Machine Learning · Computer Science 2024-05-10 Fares Fourati , Mohamed-Slim Alouini , Vaneet Aggarwal

Edge Computing (EC) offers a superior user experience by positioning cloud resources in close proximity to end users. The challenge of allocating edge resources efficiently while maximizing profit for the EC platform remains a sophisticated…

Machine Learning · Computer Science 2023-02-15 Jiaming Cheng , Duong Thuy Anh Nguyen , Lele Wang , Duong Tung Nguyen , Vijay K. Bhargava

We consider offline policy optimization (OPO) in contextual bandits, where one is given a fixed dataset of logged interactions. While pessimistic regularizers are typically used to mitigate distribution shift, prior implementations thereof…

Machine Learning · Computer Science 2023-10-27 Lequn Wang , Akshay Krishnamurthy , Aleksandrs Slivkins

We investigate the high-dimensional sparse linear bandits problem in a data-poor regime where the time horizon is much smaller than the ambient dimension and number of arms. We study the setting under the additional blocking constraint…

Machine Learning · Computer Science 2025-05-30 Adit Jain , Soumyabrata Pal , Sunav Choudhary , Ramasuri Narayanam , Harshita Chopra , Vikram Krishnamurthy

We study online meta-learning with bandit feedback, with the goal of improving performance across multiple tasks if they are similar according to some natural similarity measure. As the first to target the adversarial online-within-online…

Machine Learning · Computer Science 2023-11-02 Mikhail Khodak , Ilya Osadchiy , Keegan Harris , Maria-Florina Balcan , Kfir Y. Levy , Ron Meir , Zhiwei Steven Wu

Most learning to rank research has assumed that the utility of different documents is independent, which results in learned ranking functions that return redundant results. The few approaches that avoid this have rather unsatisfyingly…

Machine Learning · Computer Science 2012-09-04 Aleksandrs Slivkins , Filip Radlinski , Sreenivas Gollapudi

We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

Data Structures and Algorithms · Computer Science 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

Restless multi-armed bandits (RMAB) have been widely used to model sequential decision making problems with constraints. The decision maker (DM) aims to maximize the expected total reward over an infinite horizon under an "instantaneous…

Machine Learning · Computer Science 2023-12-25 Shufan Wang , Guojun Xiong , Jian Li

We consider a multi-armed bandit setting in which each arm has a public and a private reward distribution. An observer expects an agent to follow Thompson Sampling according to the public rewards, however, the deceptive agent aims to…

Machine Learning · Computer Science 2025-10-13 I. Arda Vurankaya , Mustafa O. Karabag , Wesley A. Suttle , Jesse Milzman , David Fridovich-Keil , Ufuk Topcu

Motivated by applications in cognitive radio networks, we consider the decentralized multi-player multi-armed bandit problem, without collision nor sensing information. We propose Randomized Selfish KL-UCB, an algorithm with very low…

Machine Learning · Computer Science 2021-02-23 Cindy Trinh , Richard Combes

We consider the classic problem of $(\epsilon,\delta)$-PAC learning a best arm where the goal is to identify with confidence $1-\delta$ an arm whose mean is an $\epsilon$-approximation to that of the highest mean arm in a multi-armed bandit…

Machine Learning · Computer Science 2020-06-23 Avinatan Hassidim , Ron Kupfer , Yaron Singer

Combinatorial bandits extend the classical bandit framework to settings where the learner selects multiple arms in each round, motivated by applications such as online recommendation and assortment optimization. While extensions of upper…

Machine Learning · Computer Science 2025-10-29 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou

Multi-arm bandit (MAB) is a classic online learning framework that studies the sequential decision-making in an uncertain environment. The MAB framework, however, overlooks the scenario where the decision-maker cannot take actions (e.g.,…

Computer Science and Game Theory · Computer Science 2021-12-30 Zhiyuan Wang , Lin Gao , Jianwei Huang