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相关论文: A General Framework of Multi-Armed Bandit Processe…

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This paper examines multi-armed bandits in which actions are taken at random discrete times. The model consists of $J$ independent arms. When an arm is operated, it must remain active for a random duration, modeled by the inter-arrival time…

最优化与控制 · 数学 2026-03-05 Kei Noba , José Luis Pérez , Kazutoshi Yamazaki , Qingyuan Zhang

The dynamic allocation problem, also known as the `multi-armed bandit' problem, simulates a situation in which an agent is faced with a tradeoff between actions that yield an immediate reward and actions whose benefits can only be perceived…

概率论 · 数学 2026-02-03 Christopher Wang

Designing experiments often requires balancing between learning about the true treatment effects and earning from allocating more samples to the superior treatment. While optimal algorithms for the Multi-Armed Bandit Problem (MABP) provide…

统计计算 · 统计学 2023-01-04 James K. He , Sofía S. Villar , Lida Mavrogonatou

Adaptive designs for multi-armed clinical trials have become increasingly popular recently in many areas of medical research because of their potential to shorten development times and to increase patient response. However, developing…

应用统计 · 统计学 2017-03-16 Adam Smith , Sofia S. Villar

The multi-armed bandits (MAB) framework is a widely used approach for sequential decision-making, where a decision-maker selects an arm in each round with the goal of maximizing long-term rewards. In many practical applications, such as…

机器学习 · 统计学 2026-05-21 Sakshi Arya , Hyebin Song

Gittins indices provide an optimal solution to the classical multi-armed bandit problem. An obstacle to their use has been the common perception that their computation is very difficult. This paper demonstrates an accessible general…

机器学习 · 统计学 2019-09-12 James Edwards

We consider the problem of revenue-optimal dynamic mechanism design in settings where agents' types evolve over time as a function of their (both public and private) experience with items that are auctioned repeatedly over an infinite…

计算机科学与博弈论 · 计算机科学 2010-10-18 Sham M. Kakade , Ilan Lobel , Hamid Nazerzadeh

A sampling-based method is introduced to approximate the Gittins index for a general family of alternative bandit processes. The approximation consists of a truncation of the optimization horizon and support for the immediate rewards, an…

最优化与控制 · 数学 2023-07-24 Stef Baas , Richard J. Boucherie , Aleida Braaksma

In recent years, multi-armed bandit (MAB) framework has attracted a lot of attention in various applications, from recommender systems and information retrieval to healthcare and finance, due to its stellar performance combined with certain…

机器学习 · 计算机科学 2019-04-24 Djallel Bouneffouf , Irina Rish

The Gittins index is a tool that optimally solves a variety of decision-making problems involving uncertainty, including multi-armed bandit problems, minimizing mean latency in queues, and search problems like the Pandora's box model.…

最优化与控制 · 数学 2025-08-05 Ziv Scully , Alexander Terenin

Multi armed bandit (MAB) algorithms have been increasingly used to complement or integrate with A/B tests and randomized clinical trials in e-commerce, healthcare, and policymaking. Recent developments incorporate possible delayed feedback.…

统计方法学 · 统计学 2023-07-04 Lei Shi , Jingshen Wang , Tianhao Wu

The Gittins policy is a highly general scheduling policy that minimizes a wide variety of mean holding cost metrics in the M/G/1 queue. Perhaps most famously, Gittins minimizes mean response time in the M/G/1 when jobs' service times are…

概率论 · 数学 2021-11-23 Ziv Scully , Mor Harchol-Balter

Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such…

机器学习 · 计算机科学 2014-10-30 Onur Atan , Cem Tekin , Mihaela van der Schaar

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…

机器学习 · 计算机科学 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

This paper studies a class of constrained restless multi-armed bandits (CRMAB). The constraints are in the form of time varying set of actions (set of available arms). This variation can be either stochastic or semi-deterministic. Given a…

系统与控制 · 计算机科学 2021-09-07 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

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…

人工智能 · 计算机科学 2022-11-10 Frida Heskebeck , Carolina Bergeling , Bo Bernhardsson

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

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…

数据结构与算法 · 计算机科学 2016-09-14 Will Ma

We address the intractable multi-armed bandit problem with switching costs, for which Asawa and Teneketzis introduced in [M. Asawa and D. Teneketzis. 1996. Multi-armed bandits with switching penalties. IEEE Trans. Automat. Control, 41…

最优化与控制 · 数学 2023-04-05 José Niño-Mora

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
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