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Multi-armed bandit (MAB) algorithms have achieved significant success in sequential decision-making applications, under the premise that humans perfectly implement the recommended policy. However, existing methods often overlook the crucial…

机器学习 · 统计学 2024-10-07 Changxiao Cai , Jiacheng Zhang

Sampling from the equilibrium distribution has always been a major problem in molecular simulations due to the very high dimensionality of conformational space. Over several decades, many approaches have been used to overcome the problem.…

计算物理 · 物理学 2020-03-02 Adrià Pérez , Pablo Herrera-Nieto , Stefan Doerr , Gianni De Fabritiis

This paper studies a decentralized homogeneous multi-armed bandit problem in a multi-agent network. The problem is simultaneously solved by $N$ agents assuming they face a common set of $M$ arms and share the same arms' reward…

机器学习 · 计算机科学 2024-12-31 Jingxuan Zhu , Ethan Mulle , Christopher S. Smith , Alec Koppel , Ji Liu

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

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…

机器学习 · 统计学 2019-01-25 Yang Cao , Zheng Wen , Branislav Kveton , Yao Xie

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

统计理论 · 数学 2008-12-18 Aurélien Garivier , Eric Moulines

Consider a requester who wishes to crowdsource a series of identical binary labeling tasks to a pool of workers so as to achieve an assured accuracy for each task, in a cost optimal way. The workers are heterogeneous with unknown but fixed…

计算机科学与博弈论 · 计算机科学 2015-06-18 Shweta Jain , Sujit Gujar , Satyanath Bhat , Onno Zoeter , Y. Narahari

Restless multi-armed bandits (RMAB) play a central role in modeling sequential decision making problems under an instantaneous activation constraint that at most B arms can be activated at any decision epoch. Each restless arm is endowed…

机器学习 · 计算机科学 2024-05-03 Guojun Xiong , Jian Li

The recent rising popularity of ultra-fast delivery services on retail platforms fuels the increasing use of urban warehouses, whose proximity to customers makes fast deliveries viable. The space limit in urban warehouses poses a problem…

最优化与控制 · 数学 2019-05-06 Rong Jin , David Simchi-Levi , Li Wang , Xinshang Wang , Sen Yang

I present the first algorithm for stochastic finite-armed bandits that simultaneously enjoys order-optimal problem-dependent regret and worst-case regret. Besides the theoretical results, the new algorithm is simple, efficient and…

机器学习 · 计算机科学 2016-02-25 Tor Lattimore

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…

机器学习 · 计算机科学 2022-10-12 Yibo Yang , Antoine Blanchard , Themistoklis Sapsis , Paris Perdikaris

We tackle the problem of online reward maximisation over a large finite set of actions described by their contexts. We focus on the case when the number of actions is too big to sample all of them even once. However we assume that we have…

机器学习 · 计算机科学 2013-09-27 Michal Valko , Nathaniel Korda , Remi Munos , Ilias Flaounas , Nelo Cristianini

Many state-of-the-art adversarial training methods for deep learning leverage upper bounds of the adversarial loss to provide security guarantees against adversarial attacks. Yet, these methods rely on convex relaxations to propagate lower…

机器学习 · 计算机科学 2023-04-07 Dimitris Bertsimas , Xavier Boix , Kimberly Villalobos Carballo , Dick den Hertog

Bayesian optimization based on the Gaussian process upper confidence bound (GP-UCB) offers a theoretical guarantee for optimizing black-box functions. In practice, however, black-box functions often involve input uncertainty. To handle such…

机器学习 · 统计学 2025-07-24 Yu Inatsu

We consider a resource-aware variant of the classical multi-armed bandit problem: In each round, the learner selects an arm and determines a resource limit. It then observes a corresponding (random) reward, provided the (random) amount of…

机器学习 · 计算机科学 2022-10-18 Viktor Bengs , Eyke Hüllermeier

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e., those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. arm). We study a particular case of the rested…

机器学习 · 计算机科学 2022-12-08 Alberto Maria Metelli , Francesco Trovò , Matteo Pirola , Marcello Restelli

By leveraging the representation power of deep neural networks, neural upper confidence bound (UCB) algorithms have shown success in contextual bandits. To further balance the exploration and exploitation, we propose…

机器学习 · 计算机科学 2025-03-12 Ha Manh Bui , Enrique Mallada , Anqi Liu

The Indexed Minimum Empirical Divergence (IMED) algorithm is a highly effective approach that offers a stronger theoretical guarantee of the asymptotic optimality compared to the Kullback--Leibler Upper Confidence Bound (KL-UCB) algorithm…

机器学习 · 计算机科学 2024-05-27 Jie Bian , Vincent Y. F. Tan

We study the stochastic Budgeted Multi-Armed Bandit (MAB) problem, where a player chooses from $K$ arms with unknown expected rewards and costs. The goal is to maximize the total reward under a budget constraint. A player thus seeks to…

机器学习 · 计算机科学 2023-08-16 Marco Heyden , Vadim Arzamasov , Edouard Fouché , Klemens Böhm

In the classical multi-armed bandit problem, instance-dependent algorithms attain improved performance on "easy" problems with a gap between the best and second-best arm. Are similar guarantees possible for contextual bandits? While…

机器学习 · 计算机科学 2020-10-08 Dylan J. Foster , Alexander Rakhlin , David Simchi-Levi , Yunzong Xu