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We study a two armed-bandit algorithm with penalty. We show the convergence of the algorithm and establish the rate of convergence. For some choices of the parameters, we obtain a central limit theorem in which the limit distribution is…

概率论 · 数学 2016-08-16 Damien Lamberton , Gilles Pagès

We consider the stochastic contextual bandit problem with additional regularization. The motivation comes from problems where the policy of the agent must be close to some baseline policy which is known to perform well on the task. To…

机器学习 · 统计学 2019-06-06 Xavier Fontaine , Quentin Berthet , Vianney Perchet

We investigate the asymptotic behavior of one version of the so-called two-armed bandit algorithm. It is an example of stochastic approximation procedure whose associated ODE has both a repulsive and an attractive equilibrium, at which the…

概率论 · 数学 2016-09-07 Damien Lamberton , Gilles Pages , Pierre Tarres

Multi-armed bandits are one of the theoretical pillars of reinforcement learning. Recently, the investigation of quantum algorithms for multi-armed bandit problems was started, and it was found that a quadratic speed-up (in query…

量子物理 · 物理学 2025-03-26 Simon Buchholz , Jonas M. Kübler , Bernhard Schölkopf

We study the stochastic multi-armed bandits problem in the presence of adversarial corruption. We present a new algorithm for this problem whose regret is nearly optimal, substantially improving upon previous work. Our algorithm is agnostic…

机器学习 · 计算机科学 2019-03-29 Anupam Gupta , Tomer Koren , Kunal Talwar

We study the problem of repeated two-sided matching with uncertain preferences (two-sided bandits), and no explicit communication between agents. Recent work has developed algorithms that converge to stable matchings when one side (the…

多智能体系统 · 计算机科学 2025-08-13 Gaurab Pokharel , Sanmay Das

We consider the two-armed bandit problem as applied to data processing if there are two alternative processing methods available with different a priori unknown efficiencies. One should determine the most effective method and provide its…

统计理论 · 数学 2017-04-13 Alexander V. Kolnogorov

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more…

机器学习 · 计算机科学 2013-11-05 Nicolò Cesa-Bianchi , Claudio Gentile , Giovanni Zappella

We consider a bandit problem which involves sequential sampling from two populations (arms). Each arm produces a noisy reward realization which depends on an observable random covariate. The goal is to maximize cumulative expected reward.…

统计理论 · 数学 2010-03-09 Philippe Rigollet , Assaf Zeevi

In fixed budget bandit identification, an algorithm sequentially observes samples from several distributions up to a given final time. It then answers a query about the set of distributions. A good algorithm will have a small probability of…

机器学习 · 统计学 2023-07-03 Rémy Degenne

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 study the problem of corralling stochastic bandit algorithms, that is combining multiple bandit algorithms designed for a stochastic environment, with the goal of devising a corralling algorithm that performs almost as well as the best…

机器学习 · 计算机科学 2021-03-02 Raman Arora , Teodor V. Marinov , Mehryar Mohri

Although many algorithms for the multi-armed bandit problem are well-understood theoretically, empirical confirmation of their effectiveness is generally scarce. This paper presents a thorough empirical study of the most popular multi-armed…

人工智能 · 计算机科学 2014-02-26 Volodymyr Kuleshov , Doina Precup

We study "adversarial scaling", a multi-armed bandit model where rewards have a stochastic and an adversarial component. Our model captures display advertising where the "click-through-rate" can be decomposed to a (fixed across time)…

机器学习 · 计算机科学 2020-09-01 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

In this paper we adapt the nearest neighbour rule to the contextual bandit problem. Our algorithm handles the fully adversarial setting in which no assumptions at all are made about the data-generation process. When combined with a…

机器学习 · 计算机科学 2024-03-11 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis

How should a robot that collaborates with multiple people decide upon the distribution of resources (e.g. social attention, or parts needed for an assembly)? People are uniquely attuned to how resources are distributed. A decision to…

人工智能 · 计算机科学 2020-12-08 Houston Claure , Yifang Chen , Jignesh Modi , Malte Jung , Stefanos Nikolaidis

We consider a multi-armed bandit problem motivated by situations where only the extreme values, as opposed to expected values in the classical bandit setting, are of interest. We propose distribution free algorithms using robust statistics…

机器学习 · 统计学 2021-09-10 Sujay Bhatt , Ping Li , Gennady Samorodnitsky

We study MNL bandits, which is a variant of the traditional multi-armed bandit problem, under risk criteria. Unlike the ordinary expected revenue, risk criteria are more general goals widely used in industries and bussiness. We design…

机器学习 · 计算机科学 2021-03-17 Guangyu Xi , Chao Tao , Yuan Zhou

Over the past few years, the multi-armed bandit model has become increasingly popular in the machine learning community, partly because of applications including online content optimization. This paper reviews two different sequential…

机器学习 · 计算机科学 2017-11-08 Emilie Kaufmann , Aurélien Garivier

In this survey we cover a few stochastic and adversarial contextual bandit algorithms. We analyze each algorithm's assumption and regret bound.

机器学习 · 计算机科学 2016-02-02 Li Zhou
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