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In recent years, the integration of communication and control systems has gained significant traction in various domains, ranging from autonomous vehicles to industrial automation and beyond. Multi-armed bandit (MAB) algorithms have proven…

Systems and Control · Electrical Eng. & Systems 2024-05-16 Hiba Dakdouk , Mohamed Sana , Mattia Merluzzi

Multi-armed bandit (MAB) problems are widely applied to online optimization tasks that require balancing exploration and exploitation. In practical scenarios, these tasks often involve multiple conflicting objectives, giving rise to…

Machine Learning · Computer Science 2025-06-17 Mansoor Davoodi , Setareh Maghsudi

We propose a novel formulation of group fairness with biased feedback in the contextual multi-armed bandit (CMAB) setting. In the CMAB setting, a sequential decision maker must, at each time step, choose an arm to pull from a finite set of…

Machine Learning · Computer Science 2022-02-17 Candice Schumann , Zhi Lang , Nicholas Mattei , John P. Dickerson

We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic regret matches the lower bound of…

Statistics Theory · Mathematics 2011-06-01 Odalric-Ambrym Maillard , Rémi Munos , Gilles Stoltz

We present differentially private algorithms for the stochastic Multi-Armed Bandit (MAB) problem. This is a problem for applications such as adaptive clinical trials, experiment design, and user-targeted advertising where private…

Machine Learning · Statistics 2015-11-30 Aristide Tossou , Christos Dimitrakakis

We study the piecewise-stationary restless multi-armed bandit (PS-RMAB) problem, where each arm evolves as a Markov chain but \emph{mean rewards may change across unknown segments}. To address the resulting exploration--detection delay…

Information Theory · Computer Science 2026-04-14 Kuan-Ta Li , Chia-Chun Lin , Ping-Chun Hsieh , Yu-Chih Huang

High-content screening microscopy generates large amounts of live-cell imaging data, yet its potential remains constrained by the inability to determine when and where to image most effectively. Optimally balancing acquisition time,…

Applications · Statistics 2025-12-18 Jaume Anguera Peris , Songtao Cheng , Hanzhao Zhang , Wei Ouyang , Joakim Jaldén

We introduce a rich class of graphical models for multi-armed bandit problems that permit both the state or context space and the action space to be very large, yet succinctly specify the payoffs for any context-action pair. Our main result…

Machine Learning · Computer Science 2012-02-20 Kareem Amin , Michael Kearns , Umar Syed

We consider the restless multi-armed bandit (RMAB) problem with unknown dynamics in which a player chooses M out of N arms to play at each time. The reward state of each arm transits according to an unknown Markovian rule when it is played…

Optimization and Control · Mathematics 2011-12-30 Haoyang Liu , Keqin Liu , Qing Zhao

The (contextual) multi-armed bandit problem (MAB) provides a formalization of sequential decision-making which has many applications. However, validly evaluating MAB policies is challenging; we either resort to simulations which inherently…

Machine Learning · Computer Science 2019-08-22 Jules Kruijswijk , Petri Parvinen , Maurits Kaptein

We consider a stochastic multi-armed bandit (MAB) problem with delayed impact of actions. In our setting, actions taken in the past impact the arm rewards in the subsequent future. This delayed impact of actions is prevalent in the real…

Machine Learning · Computer Science 2021-11-02 Wei Tang , Chien-Ju Ho , Yang Liu

Restless multi-arm bandits (RMABs) is a popular decision-theoretic framework that has been used to model real-world sequential decision making problems in public health, wildlife conservation, communication systems, and beyond. Deployed…

Artificial Intelligence · Computer Science 2023-01-20 Paritosh Verma , Shresth Verma , Aditya Mate , Aparna Taneja , Milind Tambe

In this paper, we provide the first investigation into adaptive combinatorial experimental design, focusing on the trade-off between regret minimization and statistical power in combinatorial multi-armed bandits (CMAB). While minimizing…

Machine Learning · Computer Science 2026-03-02 Hongrui Xie , Junyu Cao , Kan Xu

We consider the problem of finitely parameterized multi-armed bandits where the model of the underlying stochastic environment can be characterized based on a common unknown parameter. The true parameter is unknown to the learning agent.…

Machine Learning · Computer Science 2020-11-10 Kishan Panaganti , Dileep Kalathil

We consider multi-dimensional Markov decision processes and formulate a long term discounted reward optimization problem. Two simulation based algorithms---Monte Carlo rollout policy and parallel rollout policy are studied, and various…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Rahul Meshram , Kesav Kaza

In this study, we delve into the Thresholding Linear Bandit (TLB) problem, a nuanced domain within stochastic Multi-Armed Bandit (MAB) problems, focusing on maximizing decision accuracy against a linearly defined threshold under resource…

Machine Learning · Computer Science 2024-03-12 Yun-Ang Wu , Yun-Da Tsai , Shou-De Lin

Multi-Armed Bandit (MAB) algorithms are widely used in recommender systems that require continuous, incremental learning. A core aspect of MABs is the exploration-exploitation trade-off: choosing between exploiting items likely to be…

Machine Learning · Computer Science 2026-04-20 Pedro R. Pires , Gregorio F. Azevedo , Pietro L. Campos , Rafael T. Sereicikas , Tiago A. Almeida

Selecting the best large language model (LLM) for a fixed benchmark is often expensive, since exhaustive evaluation requires running every model on every example. Multi-armed bandit (MAB) algorithms can reduce the number of LLM calls by…

Machine Learning · Computer Science 2026-05-12 Elad Tolochinsky , Yaniv Tenzer , Yaniv Romano

We study finite-armed semiparametric bandits, where each arm's reward combines a linear component with an unknown, potentially adversarial shift. This model strictly generalizes classical linear bandits and reflects complexities common in…

Machine Learning · Statistics 2025-06-18 Seok-Jin Kim , Gi-Soo Kim , Min-hwan Oh

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

Optimization and Control · Mathematics 2025-05-12 Yu Bai , Yiming Li , Xi Xiong