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We consider a stochastic multi-armed bandit (MAB) problem motivated by ``large'' action spaces, and endowed with a population of arms containing exactly $K$ arm-types, each characterized by a distinct mean reward. The decision maker is…

机器学习 · 计算机科学 2023-01-19 Anand Kalvit , Assaf Zeevi

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

数据结构与算法 · 计算机科学 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

We introduce Stacked Thompson Bandits (STB) for efficiently generating plans that are likely to satisfy a given bounded temporal logic requirement. STB uses a simulation for evaluation of plans, and takes a Bayesian approach to using the…

软件工程 · 计算机科学 2017-03-01 Lenz Belzner , Thomas Gabor

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

The multi-armed bandit (MAB) is a classical online optimization model for the trade-off between exploration and exploitation. The traditional MAB is concerned with finding the arm that minimizes the mean cost. However, minimizing the mean…

最优化与控制 · 数学 2018-09-17 Jianyu Xu , William B. Haskell , Zhisheng Ye

This paper proposes a novel policy for a group of agents to, individually as well as collectively, solve a multi armed bandit (MAB) problem. The policy relies solely on the information that an agent has obtained through sampling of the…

机器学习 · 计算机科学 2020-02-24 Pathmanathan Pankayaraj , D. H. S. Maithripala

In the Multi-Armed Bandit (MAB) problem, there is a given set of arms with unknown reward models. At each time, a player selects one arm to play, aiming to maximize the total expected reward over a horizon of length T. An approach based on…

最优化与控制 · 数学 2013-03-12 Sattar Vakili , Keqin Liu , Qing Zhao

In a multi-armed bandit problem, an online algorithm chooses from a set of strategies in a sequence of trials so as to maximize the total payoff of the chosen strategies. While the performance of bandit algorithms with a small finite…

数据结构与算法 · 计算机科学 2008-09-30 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

The paper addresses the Multiplayer Multi-Armed Bandit (MMAB) problem, where $M$ decision makers or players collaborate to maximize their cumulative reward. When several players select the same arm, a collision occurs and no reward is…

机器学习 · 计算机科学 2019-10-29 Alexandre Proutiere , Po-An Wang

We consider a multiobjective multiarmed bandit problem with lexicographically ordered objectives. In this problem, the goal of the learner is to select arms that are lexicographic optimal as much as possible without knowing the arm reward…

机器学习 · 计算机科学 2019-07-30 Alihan Hüyük , Cem Tekin

This paper considers the multi-armed thresholding bandit problem -- identifying all arms whose expected rewards are above a predefined threshold via as few pulls (or rounds) as possible -- proposed by Locatelli et al. [2016] recently.…

机器学习 · 统计学 2017-07-11 Jie Zhong , Yijun Huang , Ji Liu

We study exploration in stochastic multi-armed bandits when we have access to a divisible resource that can be allocated in varying amounts to arm pulls. We focus in particular on the allocation of distributed computing resources, where we…

We develop asymptotically optimal policies for the multi armed bandit (MAB), problem, under a cost constraint. This model is applicable in situations where each sample (or activation) from a population (bandit) incurs a known bandit…

机器学习 · 统计学 2015-12-18 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

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

In this paper, we introduce the COmbinatorial Multi-Objective Multi-Armed Bandit (COMO-MAB) problem that captures the challenges of combinatorial and multi-objective online learning simultaneously. In this setting, the goal of the learner…

机器学习 · 计算机科学 2018-03-13 Doruk Öner , Altuğ Karakurt , Atilla Eryılmaz , Cem Tekin

Despite the great interest in the bandit problem, designing efficient algorithms for complex models remains challenging, as there is typically no analytical way to quantify uncertainty. In this paper, we propose Multiplier Bootstrap-based…

机器学习 · 计算机科学 2023-02-06 Runzhe Wan , Haoyu Wei , Branislav Kveton , Rui Song

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…

机器学习 · 计算机科学 2012-02-20 Kareem Amin , Michael Kearns , Umar Syed

We study a generalization of the multi-armed bandit problem with multiple plays where there is a cost associated with pulling each arm and the agent has a budget at each time that dictates how much she can expect to spend. We derive an…

机器学习 · 统计学 2019-09-13 Alexander Luedtke , Emilie Kaufmann , Antoine Chambaz

In this paper, we study the application of the Thompson sampling (TS) methodology to the stochastic combinatorial multi-armed bandit (CMAB) framework. We first analyze the standard TS algorithm for the general CMAB model when the outcome…

机器学习 · 计算机科学 2022-06-22 Siwei Wang , Wei Chen

Balancing exploration and exploitation has been an important problem in both game tree search and automated planning. However, while the problem has been extensively analyzed within the Multi-Armed Bandit (MAB) literature, the planning…

人工智能 · 计算机科学 2026-03-30 Stephen Wissow , Masataro Asai