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Related papers: The Multi-Armed Bandit, with Constraints

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The restless multi-armed bandit problem is a paradigmatic modeling framework for optimal dynamic priority allocation in stochastic models of wide-ranging applications that has been widely investigated and applied since its inception in a…

General Mathematics · Mathematics 2026-01-26 José Niño-Mora

This paper considers what we propose to call multi-gear bandits, which are Markov decision processes modeling a generic dynamic and stochastic project fueled by a single resource and which admit multiple actions representing gears of…

Optimization and Control · Mathematics 2026-01-21 José Niño-Mora

We use a novel modification of Multi-Armed Bandits to create a new model for recommendation systems. We model the recommendation system as a bandit seeking to maximize reward by pulling on arms with unknown rewards. The catch however is…

Machine Learning · Statistics 2024-09-05 Aditya Narayan Ravi , Pranav Poduval , Sharayu Moharir

The problem of rested and restless multi-armed bandits with constrained availability of arms is considered. The states of arms evolve in Markovian manner and the exact states are hidden from the decision maker. First, some structural…

Systems and Control · Computer Science 2017-10-20 Varun Mehta , Rahul Meshram , Kesav Kaza , S. N. Merchant

Multi-armed bandits (MAB) model sequential decision making problems, in which a learner sequentially chooses arms with unknown reward distributions in order to maximize its cumulative reward. Most of the prior work on MAB assumes that the…

Machine Learning · Computer Science 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

This work formulates model selection as an infinite-armed bandit problem, namely, a problem in which a decision maker iteratively selects one of an infinite number of fixed choices (i.e., arms) when the properties of each choice are only…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Margaux Brégère , Julie Keisler

Multi-armed bandit problems are the most basic examples of sequential decision problems with an exploration-exploitation trade-off. This is the balance between staying with the option that gave highest payoffs in the past and exploring new…

Machine Learning · Computer Science 2012-11-06 Sébastien Bubeck , Nicolò Cesa-Bianchi

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

The multi-armed bandit problem is a classical decision-making problem where an agent has to learn an optimal action balancing exploration and exploitation. Properly managing this trade-off requires a correct assessment of uncertainty; in…

Machine Learning · Computer Science 2020-08-18 Fabio Massimo Zennaro , Audun Jøsang

The multi-armed bandit (MAB) problem models a decision-maker that optimizes its actions based on current and acquired new knowledge to maximize its reward. This type of online decision is prominent in many procedures of Brain-Computer…

Artificial Intelligence · Computer Science 2022-11-10 Frida Heskebeck , Carolina Bergeling , Bo Bernhardsson

We formulate a multi-armed bandit (MAB) approach to choosing expert policies online in Markov decision processes (MDPs). Given a set of expert policies trained on a state and action space, the goal is to maximize the cumulative reward of…

Systems and Control · Computer Science 2017-07-19 Eric Mazumdar , Roy Dong , Vicenç Rúbies Royo , Claire Tomlin , S. Shankar Sastry

A key feature of sequential decision making under uncertainty is a need to balance between exploiting--choosing the best action according to the current knowledge, and exploring--obtaining information about values of other actions. The…

Machine Learning · Computer Science 2021-08-27 Dimitrije Markovic , Hrvoje Stojic , Sarah Schwoebel , Stefan J. Kiebel

This paper proposes a variant of multiple-play stochastic bandits tailored to resource allocation problems arising from LLM applications, edge intelligence, etc. The model is composed of $M$ arms and $K$ plays. Each arm has a stochastic…

Artificial Intelligence · Computer Science 2025-12-29 Hong Xie , Haoran Gu , Yanying Huang , Tao Tan , Defu Lian

This paper considers the multi-armed bandit problem with multiple simultaneous arm pulls. We develop a new `irrevocable' heuristic for this problem. In particular, we do not allow recourse to arms that were pulled at some point in the past…

Optimization and Control · Mathematics 2008-06-26 Vivek Farias , Ritesh Madan

Multi-armed bandits a simple but very powerful framework for algorithms that make decisions over time under uncertainty. An enormous body of work has accumulated over the years, covered in several books and surveys. This book provides a…

Machine Learning · Computer Science 2024-04-05 Aleksandrs Slivkins

Consider a multi-phase project management problem where the decision maker needs to deal with two issues: (a) how to allocate resources to projects within each phase, and (b) when to enter the next phase, so that the total expected reward…

Statistics Theory · Mathematics 2007-06-13 Hock Peng Chan , Cheng-Der Fuh , Inchi Hu

Sequential portfolio selection has attracted increasing interests in the machine learning and quantitative finance communities in recent years. As a mathematical framework for reinforcement learning policies, the stochastic multi-armed…

Portfolio Management · Quantitative Finance 2017-09-14 Xiaoguang Huo , Feng Fu

In this work we present a multi-armed bandit framework for online expert selection in Markov decision processes and demonstrate its use in high-dimensional settings. Our method takes a set of candidate expert policies and switches between…

Machine Learning · Computer Science 2020-10-30 Vicenc Rubies-Royo , Eric Mazumdar , Roy Dong , Claire Tomlin , S. Shankar Sastry

This paper introduces the first asymptotically optimal strategy for a multi armed bandit (MAB) model under side constraints. The side constraints model situations in which bandit activations are limited by the availability of certain…

Machine Learning · Statistics 2025-02-10 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

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
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