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In this paper, we introduce a multi-armed bandit problem termed max-min grouped bandits, in which the arms are arranged in possibly-overlapping groups, and the goal is to find the group whose worst arm has the highest mean reward. This…

机器学习 · 统计学 2022-03-16 Zhenlin Wang , Jonathan Scarlett

We consider a version of the continuous-time multi-armed bandit problem where decision opportunities arrive at Poisson arrival times, and study its Gittins index policy. When driven by spectrally one-sided L\'evy processes, the Gittins…

概率论 · 数学 2023-01-20 José-Luis Pérez , Kazutoshi Yamazaki

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

Reinforcement learning generalizes multi-armed bandit problems with additional difficulties of a longer planning horizon and unknown transition kernel. We explore a black-box reduction from discounted infinite-horizon tabular reinforcement…

机器学习 · 计算机科学 2024-03-12 Ian A. Kash , Lev Reyzin , Zishun Yu

We consider a multi-armed bandit problem where the decision maker can explore and exploit different arms at every round. The exploited arm adds to the decision maker's cumulative reward (without necessarily observing the reward) while the…

机器学习 · 计算机科学 2012-07-03 Orly Avner , Shie Mannor , Ohad Shamir

We consider a dynamic pricing problem under unknown demand models. In this problem a seller offers prices to a stream of customers and observes either success or failure in each sale attempt. The underlying demand model is unknown to the…

机器学习 · 计算机科学 2012-10-30 Pouya Tehrani , Yixuan Zhai , Qing Zhao

The Knowledge Gradient (KG) policy was originally proposed for online ranking and selection problems but has recently been adapted for use in online decision making in general and multi-armed bandit problems (MABs) in particular. We study…

机器学习 · 统计学 2017-04-07 James Edwards , Paul Fearnhead , Kevin Glazebrook

We introduce a new stochastic multi-armed bandit setting where arms are grouped inside ``ordered'' categories. The motivating example comes from e-commerce, where a customer typically has a greater appetence for items of a specific…

机器学习 · 计算机科学 2020-05-05 Matthieu Jedor , Jonathan Louedec , Vianney Perchet

I analyse the frequentist regret of the famous Gittins index strategy for multi-armed bandits with Gaussian noise and a finite horizon. Remarkably it turns out that this approach leads to finite-time regret guarantees comparable to those…

机器学习 · 计算机科学 2016-05-31 Tor Lattimore

We consider the restless bandits with general state space under partial observability with two observational models: first, the state of each bandit is not observable at all, and second, the state of each bandit is observable only if it is…

系统与控制 · 电气工程与系统科学 2023-05-25 Nima Akbarzadeh , Aditya Mahajan

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

We consider a multi-armed bandit problem in a setting where each arm produces a noisy reward realization which depends on an observable random covariate. As opposed to the traditional static multi-armed bandit problem, this setting allows…

统计理论 · 数学 2013-05-27 Vianney Perchet , Philippe Rigollet

We study a multi-armed bandit problem with covariates in a setting where there is a possible delay in observing the rewards. Under some mild assumptions on the probability distributions for the delays and using an appropriate randomization…

机器学习 · 统计学 2019-09-06 Sakshi Arya , Yuhong Yang

We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic regret matches the lower bound of…

统计理论 · 数学 2011-06-01 Odalric-Ambrym Maillard , Rémi Munos , Gilles Stoltz

Decision-making problems of sequential nature, where decisions made in the past may have an impact on the future, are used to model many practically important applications. In some real-world applications, feedback about a decision is…

机器学习 · 计算机科学 2023-03-02 Ronald C. van den Broek , Rik Litjens , Tobias Sagis , Luc Siecker , Nina Verbeeke , Pratik Gajane

Multi-Armed-Bandit frameworks have often been used by researchers to assess educational interventions, however, recent work has shown that it is more beneficial for a student to provide qualitative feedback through preference elicitation…

机器学习 · 计算机科学 2021-11-02 Nayan Saxena , Pan Chen , Emmy Liu

The multi-armed bandit (MAB) problem is a classic example of the exploration-exploitation dilemma. It is concerned with maximising the total rewards for a gambler by sequentially pulling an arm from a multi-armed slot machine where each arm…

机器学习 · 统计学 2018-05-16 Xue Lu , Niall Adams , Nikolas Kantas

We present a novel approach to deformable object manipulation that does not rely on highly-accurate modeling. The key contribution of this paper is to formulate the task as a Multi-Armed Bandit problem, with each arm representing a model of…

机器人学 · 计算机科学 2020-06-02 Dale McConachie , Dmitry Berenson

We consider the problem of contextual multi-armed bandits in the setting of hypothesis transfer learning. That is, we assume having access to a previously learned model on an unobserved set of contexts, and we leverage it in order to…

机器学习 · 计算机科学 2022-11-15 Steven Bilaj , Sofien Dhouib , Setareh Maghsudi

Stable matching, a classical model for two-sided markets, has long been studied with little consideration for how each side's preferences are learned. With the advent of massive online markets powered by data-driven matching platforms, it…

机器学习 · 计算机科学 2020-07-14 Lydia T. Liu , Horia Mania , Michael I. Jordan