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Combinatorial Multi-Armed Bandit with fairness constraints is a framework where multiple arms form a super arm and can be pulled in each round under uncertainty to maximize cumulative rewards while ensuring the minimum average reward…

Machine Learning · Computer Science 2025-01-14 Xiaoyi Wu , Bo Ji , Bin Li

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…

Machine Learning · Computer Science 2017-11-17 Datong P. Zhou , Claire J. Tomlin

We study a multi-objective pure exploration problem in a multi-armed bandit model. Each arm is associated to an unknown multi-variate distribution and the goal is to identify the distributions whose mean is not uniformly worse than that of…

Machine Learning · Statistics 2025-01-15 Cyrille Kone , Emilie Kaufmann , Laura Richert

In the classical multi-armed bandit problem, d arms are available to the decision maker who pulls them sequentially in order to maximize his cumulative reward. Guarantees can be obtained on a relative quantity called regret, which scales…

Machine Learning · Computer Science 2017-06-06 Joon Kwon , Vianney Perchet , Claire Vernade

We investigate the sample complexity of learning the optimal arm for multi-task bandit problems. Arms consist of two components: one that is shared across tasks (that we call representation) and one that is task-specific (that we call…

Machine Learning · Statistics 2022-11-29 Alessio Russo , Alexandre Proutiere

Recent work has considered natural variations of the multi-armed bandit problem, where the reward distribution of each arm is a special function of the time passed since its last pulling. In this direction, a simple (yet widely applicable)…

Machine Learning · Computer Science 2021-05-25 Alexia Atsidakou , Orestis Papadigenopoulos , Soumya Basu , Constantine Caramanis , Sanjay Shakkottai

Although the classical version of the Multi-Armed Bandits (MAB) framework has been applied successfully to several practical problems, in many real-world applications, the possible actions are not presented to the learner simultaneously,…

Machine Learning · Computer Science 2021-10-01 Marco Gabrielli , Francesco Trovò , Manuela Antonelli

While many multi-armed bandit algorithms assume that rewards for all arms are constant across rounds, this assumption does not hold in many real-world scenarios. This paper considers the setting of recovering bandits (Pike-Burke &…

Machine Learning · Computer Science 2024-03-19 Yuto Tanimoto , Kenji Fukumizu

Sequential learning in a multi-agent resource constrained matching market has received significant interest in the past few years. We study decentralized learning in two-sided matching markets where the demand side (aka players or agents)…

Machine Learning · Computer Science 2025-06-23 Satush Parikh , Soumya Basu , Avishek Ghosh , Abishek Sankararaman

Learning preferences implicit in the choices humans make is a well studied problem in both economics and computer science. However, most work makes the assumption that humans are acting (noisily) optimally with respect to their preferences.…

Machine Learning · Computer Science 2019-01-28 Lawrence Chan , Dylan Hadfield-Menell , Siddhartha Srinivasa , Anca Dragan

We introduce and study a new class of stochastic bandit problems, referred to as predictive bandits. In each round, the decision maker first decides whether to gather information about the rewards of particular arms (so that their rewards…

Machine Learning · Computer Science 2020-04-03 Simon Lindståhl , Alexandre Proutiere , Andreas Johnsson

We propose and study the known-compensation multi-arm bandit (KCMAB) problem, where a system controller offers a set of arms to many short-term players for $T$ steps. In each step, one short-term player arrives to the system. Upon arrival,…

Machine Learning · Computer Science 2018-11-06 Siwei Wang , Longbo Huang

The multi objective bandit setting has traditionally been regarded as more complex than the single objective case, as multiple objectives must be optimized simultaneously. In contrast to this prevailing view, we demonstrate that when…

Machine Learning · Statistics 2026-02-16 Heesang Ann , Min-hwan Oh

The celebrated multi-armed bandit problem in decision theory models the basic trade-off between exploration, or learning about the state of a system, and exploitation, or utilizing the system. In this paper we study the variant of the…

Data Structures and Algorithms · Computer Science 2013-06-19 Sudipto Guha , Kamesh Munagala

We study the non-stationary stochastic multi-armed bandit problem, where the reward statistics of each arm may change several times during the course of learning. The performance of a learning algorithm is evaluated in terms of their…

Machine Learning · Computer Science 2022-03-09 Yasin Abbasi-Yadkori , Andras Gyorgy , Nevena Lazic

Combinatorial bandits with semi-bandit feedback generalize multi-armed bandits, where the agent chooses sets of arms and observes a noisy reward for each arm contained in the chosen set. The action set satisfies a given structure such as…

Machine Learning · Statistics 2021-01-22 Marc Jourdan , Mojmír Mutný , Johannes Kirschner , Andreas Krause

Learning from prior tasks and transferring that experience to improve future performance is critical for building lifelong learning agents. Although results in supervised and reinforcement learning show that transfer may significantly…

Machine Learning · Statistics 2013-07-29 Mohammad Gheshlaghi Azar , Alessandro Lazaric , Emma Brunskill

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…

Machine Learning · Computer Science 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

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…

Machine Learning · Computer Science 2024-05-29 Ruo-Chun Tzeng , Naoto Ohsaka , Kaito Ariu

Recent progress in model selection raises the question of the fundamental limits of these techniques. Under specific scrutiny has been model selection for general contextual bandits with nested policy classes, resulting in a COLT2020 open…

Machine Learning · Computer Science 2021-10-27 Teodor V. Marinov , Julian Zimmert
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