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The multi-armed bandit(MAB) problem is a simple yet powerful framework that has been extensively studied in the context of decision-making under uncertainty. In many real-world applications, such as robotic applications, selecting an arm…

Machine Learning · Computer Science 2023-03-21 Tianpeng Zhang , Kasper Johansson , Na Li

In many sequential decision-making problems, the goal is to optimize a utility function while satisfying a set of constraints on different utilities. This learning problem is formalized through Constrained Markov Decision Processes (CMDPs).…

Machine Learning · Computer Science 2020-03-05 Yonathan Efroni , Shie Mannor , Matteo Pirotta

We study a variant of the classical multi-armed bandit problem (MABP) which we call as Multi-Armed Bandits with dependent arms. More specifically, multiple arms are grouped together to form a cluster, and the reward distributions of arms…

Machine Learning · Computer Science 2020-10-27 Rahul Singh , Fang Liu , Yin Sun , Ness Shroff

Multi-armed bandit (MAB) is a class of online learning problems where a learning agent aims to maximize its expected cumulative reward while repeatedly selecting to pull arms with unknown reward distributions. We consider a scenario where…

Machine Learning · Statistics 2019-01-25 Yang Cao , Zheng Wen , Branislav Kveton , Yao Xie

Machine unlearning aims to unlearn data points from a learned model, offering a principled way to process data-deletion requests and mitigate privacy risks without full retraining. Prior work has mainly studied unsupervised / supervised…

Machine Learning · Computer Science 2026-05-04 Zichun Ye , Runqi Wang , Xuchuang Wang , Xutong Liu , Shuai Li , Mohammad Hajiesmaili

Strategic behavior against sequential learning methods, such as "click framing" in real recommendation systems, have been widely observed. Motivated by such behavior we study the problem of combinatorial multi-armed bandits (CMAB) under…

Machine Learning · Computer Science 2021-11-22 Jing Dong , Ke Li , Shuai Li , Baoxiang Wang

In this paper, we propose a novel perturbation-based exploration method in bandit algorithms with bounded or unbounded rewards, called residual bootstrap exploration (\texttt{ReBoot}). The \texttt{ReBoot} enforces exploration by injecting…

Machine Learning · Statistics 2020-02-21 Chi-Hua Wang , Yang Yu , Botao Hao , Guang Cheng

Contextual multi-armed bandit problems arise frequently in important industrial applications. Existing solutions model the context either linearly, which enables uncertainty driven (principled) exploration, or non-linearly, by using…

Machine Learning · Computer Science 2018-07-27 Mark Collier , Hector Urdiales Llorens

While in general trading off exploration and exploitation in reinforcement learning is hard, under some formulations relatively simple solutions exist. In this paper, we first derive upper bounds for the utility of selecting different…

Artificial Intelligence · Computer Science 2018-06-06 Christos Dimitrakakis

In the Multi-Armed Bandit (MAB) problem, there is a given set of arms with unknown reward models. At each time, a player selects one arm to play, aiming to maximize the total expected reward over a horizon of length T. An approach based on…

Optimization and Control · Mathematics 2013-03-12 Sattar Vakili , Keqin Liu , Qing Zhao

Bandit learning is characterized by the tension between long-term exploration and short-term exploitation. However, as has recently been noted, in settings in which the choices of the learning algorithm correspond to important decisions…

Machine Learning · Computer Science 2018-01-11 Sampath Kannan , Jamie Morgenstern , Aaron Roth , Bo Waggoner , Zhiwei Steven Wu

We consider a stochastic multi-armed bandit setting where reward must be actively queried for it to be observed. We provide tight lower and upper problem-dependent guarantees on both the regret and the number of queries. Interestingly, we…

Machine Learning · Computer Science 2022-10-28 Nadav Merlis , Yonathan Efroni , Shie Mannor

We study here the problem of learning the exploration exploitation trade-off in the contextual bandit problem with linear reward function setting. In the traditional algorithms that solve the contextual bandit problem, the exploration is a…

Machine Learning · Computer Science 2020-05-06 Djallel Bouneffouf , Emmanuelle Claeys

The stochastic multi-armed bandit (MAB) problem is a common model for sequential decision problems. In the standard setup, a decision maker has to choose at every instant between several competing arms, each of them provides a scalar random…

Machine Learning · Statistics 2021-10-27 Asaf Cassel , Shie Mannor , Assaf Zeevi

A multi-user multi-armed bandit (MAB) framework is used to develop algorithms for uncoordinated spectrum access. The number of users is assumed to be unknown to each user. A stochastic setting is first considered, where the rewards on a…

Machine Learning · Computer Science 2019-01-31 Meghana Bande , Venugopal V. Veeravalli

In budget-limited multi-armed bandit (MAB) problems, the learner's actions are costly and constrained by a fixed budget. Consequently, an optimal exploitation policy may not be to pull the optimal arm repeatedly, as is the case in other…

Artificial Intelligence · Computer Science 2012-04-10 Long Tran-Thanh , Archie Chapman , Alex Rogers , Nicholas R. Jennings

This paper explores multi-armed bandit (MAB) strategies in very short horizon scenarios, i.e., when the bandit strategy is only allowed very few interactions with the environment. This is an understudied setting in the MAB literature with…

Machine Learning · Computer Science 2021-02-11 Robert C. Gray , Jichen Zhu , Santiago Ontañón

We consider the problem of sequentially allocating resources in a censored semi-bandits setup, where the learner allocates resources at each step to the arms and observes loss. The loss depends on two hidden parameters, one specific to the…

Machine Learning · Computer Science 2021-04-14 Arun Verma , Manjesh K. Hanawal , Arun Rajkumar , Raman Sankaran

We present a new type of acquisition functions for online decision making in multi-armed and contextual bandit problems with extreme payoffs. Specifically, we model the payoff function as a Gaussian process and formulate a novel type of…

Machine Learning · Computer Science 2022-10-12 Yibo Yang , Antoine Blanchard , Themistoklis Sapsis , Paris Perdikaris

The multi-armed bandit (MAB) model has been widely adopted for studying many practical optimization problems (network resource allocation, ad placement, crowdsourcing, etc.) with unknown parameters. The goal of the player here is to…

Machine Learning · Computer Science 2019-11-21 Fengjiao Li , Jia Liu , Bo Ji