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Related papers: Global Rewards in Restless Multi-Armed Bandits

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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

In many public health settings, it is important for patients to adhere to health programs, such as taking medications and periodic health checks. Unfortunately, beneficiaries may gradually disengage from such programs, which is detrimental…

Machine Learning · Computer Science 2021-07-26 Arpita Biswas , Gaurav Aggarwal , Pradeep Varakantham , Milind Tambe

We introduce a novel framework of combinatorial multi-armed bandits (CMAB) with multivariant and probabilistically triggering arms (CMAB-MT), where the outcome of each arm is a $d$-dimensional multivariant random variable and the feedback…

Machine Learning · Computer Science 2025-04-24 Xutong Liu , Siwei Wang , Jinhang Zuo , Han Zhong , Xuchuang Wang , Zhiyong Wang , Shuai Li , Mohammad Hajiesmaili , John C. S. Lui , Wei Chen

Multi-action restless multi-armed bandits (RMABs) are a powerful framework for constrained resource allocation in which $N$ independent processes are managed. However, previous work only study the offline setting where problem dynamics are…

Machine Learning · Computer Science 2021-06-24 Jackson A. Killian , Arpita Biswas , Sanket Shah , Milind Tambe

A novel reinforcement learning algorithm is introduced for multiarmed restless bandits with average reward, using the paradigms of Q-learning and Whittle index. Specifically, we leverage the structure of the Whittle index policy to reduce…

Machine Learning · Computer Science 2021-09-22 Konstantin E. Avrachenkov , Vivek S. Borkar

We consider the $\epsilon$-greedy strategy for the multi-arm bandit with covariates (MABC) problem, where the mean reward functions are assumed to lie in a reproducing kernel Hilbert space (RKHS). We propose to estimate the unknown mean…

Machine Learning · Statistics 2025-06-03 Sakshi Arya , Bharath K. Sriperumbudur

Applying Reinforcement Learning (RL) to Restless Multi-Arm Bandits (RMABs) offers a promising avenue for addressing allocation problems with resource constraints and temporal dynamics. However, classic RMAB models largely overlook the…

Machine Learning · Computer Science 2025-03-20 Yunfan Zhao , Tonghan Wang , Dheeraj Nagaraj , Aparna Taneja , Milind Tambe

The widespread availability of cell phones has enabled non-profits to deliver critical health information to their beneficiaries in a timely manner. This paper describes our work to assist non-profits that employ automated messaging…

We study incentivized exploration in multi-armed bandit (MAB) settings with infinitely many arms modeled as elements in continuous metric spaces. Unlike classical bandit models, we consider scenarios where the decision-maker (principal)…

Machine Learning · Computer Science 2025-08-28 Sourav Chakraborty , Amit Kiran Rege , Claire Monteleoni , Lijun Chen

We study the multi-armed bandit problem with arms which are Markov chains with rewards. In the finite-horizon setting, the celebrated Gittins indices do not apply, and the exact solution is intractable. We provide approximation algorithms…

Data Structures and Algorithms · Computer Science 2016-09-14 Will Ma

Large language models (LLMs) have been adopted to solve sequential decision-making tasks such as multi-armed bandits (MAB), in which an LLM is directly instructed to select the arms to pull in every iteration. However, this paradigm of…

Machine Learning · Computer Science 2025-02-04 Jiahang Sun , Zhiyong Wang , Runhan Yang , Chenjun Xiao , John C. S. Lui , Zhongxiang Dai

Decision-making under uncertainty is a fundamental problem encountered frequently and can be formulated as a stochastic multi-armed bandit problem. In the problem, the learner interacts with an environment by choosing an action at each…

Machine Learning · Statistics 2024-05-24 Jonathan Gornet , Bruno Sinopoli

Policy gradients-based reinforcement learning has proven to be a promising approach for directly optimizing non-differentiable evaluation metrics for language generation tasks. However, optimizing for a specific metric reward leads to…

Computation and Language · Computer Science 2020-11-17 Ramakanth Pasunuru , Han Guo , Mohit Bansal

We introduce robustness in \textit{restless multi-armed bandits} (RMABs), a popular model for constrained resource allocation among independent stochastic processes (arms). Nearly all RMAB techniques assume stochastic dynamics are precisely…

Machine Learning · Computer Science 2022-06-23 Jackson A. Killian , Lily Xu , Arpita Biswas , Milind Tambe

This work studies a generalized class of restless multi-armed bandits with hidden states and allow cumulative feedback, as opposed to the conventional instantaneous feedback. We call them lazy restless bandits (LRB) as the events of…

Systems and Control · Computer Science 2019-01-30 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

In a multi-armed bandit (MAB) problem a gambler needs to choose at each round of play one of K arms, each characterized by an unknown reward distribution. Reward realizations are only observed when an arm is selected, and the gambler's…

Machine Learning · Computer Science 2019-06-11 Omar Besbes , Yonatan Gur , Assaf Zeevi

We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless Multi-Armed Bandit Problems (RMABPs) connected by constraints…

Optimization and Control · Mathematics 2020-03-30 Jing Fu , Bill Moran , Peter G. Taylor

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

Machine Learning · Computer Science 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

We study a multi-armed bandit problem in a dynamic environment where arm rewards evolve in a correlated fashion according to a Markov chain. Different than much of the work on related problems, in our formulation a learning algorithm does…

Machine Learning · Computer Science 2019-03-05 Tanner Fiez , Shreyas Sekar , Lillian J. Ratliff

In many real-world applications, multiple agents seek to learn how to perform highly related yet slightly different tasks in an online bandit learning protocol. We formulate this problem as the $\epsilon$-multi-player multi-armed bandit…

Machine Learning · Computer Science 2021-07-21 Zhi Wang , Chicheng Zhang , Manish Kumar Singh , Laurel D. Riek , Kamalika Chaudhuri
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