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The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

最优化与控制 · 数学 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum

Existing frameworks for evaluating and comparing generative models consider an offline setting, where the evaluator has access to large batches of data produced by the models. However, in practical scenarios, the goal is often to identify…

机器学习 · 计算机科学 2025-03-12 Xiaoyan Hu , Ho-fung Leung , Farzan Farnia

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…

机器学习 · 计算机科学 2021-08-27 Dimitrije Markovic , Hrvoje Stojic , Sarah Schwoebel , Stefan J. Kiebel

Multi-armed bandits (MAB) and causal MABs (CMAB) are established frameworks for decision-making problems. The majority of prior work typically studies and solves individual MAB and CMAB in isolation for a given problem and associated data.…

In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activate $K \geq 1$ arms at each time in order…

最优化与控制 · 数学 2010-11-23 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari , Qing Zhao

Multi-armed bandit (MAB) is a widely adopted framework for sequential decision-making under uncertainty. Traditional bandit algorithms rely solely on online data, which tends to be scarce as it must be gathered during the online phase when…

统计理论 · 数学 2026-04-23 Wenlong Ji , Yihan Pan , Ruihao Zhu , Lihua Lei

Maternal and child health is a critical concern around the world. In many global health programs disseminating preventive care and health information, limited healthcare worker resources prevent continuous, personalised engagement with…

机器学习 · 计算机科学 2026-04-10 Shresth Verma , Arpan Dasgupta , Neha Madhiwalla , Aparna Taneja , Milind Tambe

In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activate $K \geq 1$ arms at each time in order…

最优化与控制 · 数学 2011-12-25 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari , Qing Zhao

Restless multi-armed bandits (RMAB) extend multi-armed bandits so pulling an arm impacts future states. Despite the success of RMABs, a key limiting assumption is the separability of rewards into a sum across arms. We address this…

机器学习 · 计算机科学 2024-06-11 Naveen Raman , Zheyuan Ryan Shi , Fei Fang

Multi-arm bandit (MAB) algorithms have been used to learn optimal beams for millimeter wave communication systems. Here, the complexity of learning the optimal beam linearly scales with the number of beams, leading to high latency when…

信号处理 · 电气工程与系统科学 2023-06-30 Akanksha Sneh , Sumit Darak , Shobha Sundar Ram , Manjesh Hanawal

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…

机器学习 · 统计学 2025-02-10 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

We present a novel machine learning framework for the optimal control of fluid restless multi-armed bandit problems (FRMABPs) with state equations that are either affine or quadratic in the state variables. By establishing fundamental…

机器学习 · 计算机科学 2026-05-08 Dimitris Bertsimas , Cheol Woo Kim , José Niño-Mora

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…

机器学习 · 计算机科学 2026-05-12 Elad Tolochinsky , Yaniv Tenzer , Yaniv Romano

We consider the discrete time infinite horizon average reward restless markovian bandit (RMAB) problem. We propose a \emph{model predictive control} based non-stationary policy with a rolling computational horizon $\tau$. At each time-slot,…

最优化与控制 · 数学 2025-06-06 Nicolas Gast , Dheeraj Narasimha

We introduce a new class of reinforcement learning methods referred to as {\em episodic multi-armed bandits} (eMAB). In eMAB the learner proceeds in {\em episodes}, each composed of several {\em steps}, in which it chooses an action and…

机器学习 · 计算机科学 2018-03-13 Cem Tekin , Mihaela van der Schaar

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…

机器学习 · 计算机科学 2026-04-20 Pedro R. Pires , Gregorio F. Azevedo , Pietro L. Campos , Rafael T. Sereicikas , Tiago A. Almeida

We consider the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

We study the problem of planning restless multi-armed bandits (RMABs) with multiple actions. This is a popular model for multi-agent systems with applications like multi-channel communication, monitoring and machine maintenance tasks, and…

多智能体系统 · 计算机科学 2023-03-01 Abheek Ghosh , Dheeraj Nagaraj , Manish Jain , Milind Tambe

We propose Streaming Bandits, a Restless Multi Armed Bandit (RMAB) framework in which heterogeneous arms may arrive and leave the system after staying on for a finite lifetime. Streaming Bandits naturally capture the health intervention…

机器学习 · 计算机科学 2022-02-17 Aditya Mate , Arpita Biswas , Christoph Siebenbrunner , Susobhan Ghosh , Milind Tambe

Multi-armed bandit (MAB) problems serve as a fundamental building block for more complex reinforcement learning algorithms. However, evaluating and comparing MAB algorithms remains challenging due to the lack of standardized conditions and…

机器学习 · 计算机科学 2025-11-03 Elise Wolf