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During online decision making in Multi-Armed Bandits (MAB), one needs to conduct inference on the true mean reward of each arm based on data collected so far at each step. However, since the arms are adaptively selected--thereby yielding…

机器学习 · 计算机科学 2021-06-29 Maria Dimakopoulou , Zhimei Ren , Zhengyuan Zhou

We consider a budgeted combinatorial multi-armed bandit setting where, in every round, the algorithm selects a super-arm consisting of one or more arms. The goal is to minimize the total expected regret after all rounds within a limited…

机器学习 · 计算机科学 2022-02-17 Debojit Das , Shweta Jain , Sujit Gujar

This paper offers a comprehensive analysis of collaborative bandit algorithms and provides a thorough comparison of their performance. Collaborative bandits aim to improve the performance of contextual bandits by introducing relationships…

机器学习 · 计算机科学 2025-10-07 Eren Ozbay , Ashkan Golgoon

A matching platform is a system that matches different types of participants, such as companies and job-seekers. In such a platform, merely maximizing the number of matches can result in matches being concentrated on highly popular…

机器学习 · 计算机科学 2026-03-10 Yuki Shibukawa , Koichi Tanaka , Yuta Saito , Shinji Ito

We obtain the upper bound of the loss function for a strategy in the multi-armed bandit problem with Gaussian distributions of incomes. Considered strategy is an asymptotic generalization of the strategy proposed by J. Bather for the…

统计理论 · 数学 2019-02-04 Alexander Kolnogorov , Sergey Garbar

We study regret minimization in a stochastic multi-armed bandit setting and establish a fundamental trade-off between the regret suffered under an algorithm, and its statistical robustness. Considering broad classes of underlying arms'…

机器学习 · 计算机科学 2020-06-23 Kumar Ashutosh , Jayakrishnan Nair , Anmol Kagrecha , Krishna Jagannathan

We investigate the regret-minimisation problem in a multi-armed bandit setting with arbitrary corruptions. Similar to the classical setup, the agent receives rewards generated independently from the distribution of the arm chosen at each…

机器学习 · 统计学 2023-09-29 Shubhada Agrawal , Timothée Mathieu , Debabrota Basu , Odalric-Ambrym Maillard

In this paper, we study censored Semi-Bandits, a novel variant of the semi-bandits problem. The learner is assumed to have a fixed amount of resources, which it allocates to the arms at each time step. The loss observed from an arm is…

机器学习 · 计算机科学 2020-03-26 Arun Verma , Manjesh K. Hanawal , Arun Rajkumar , Raman Sankaran

We study contextual bandits with budget and time constraints, referred to as constrained contextual bandits.The time and budget constraints significantly complicate the exploration and exploitation tradeoff because they introduce complex…

机器学习 · 计算机科学 2015-10-20 Huasen Wu , R. Srikant , Xin Liu , Chong Jiang

We investigate the piecewise-stationary combinatorial semi-bandit problem. Compared to the original combinatorial semi-bandit problem, our setting assumes the reward distributions of base arms may change in a piecewise-stationary manner at…

机器学习 · 计算机科学 2020-02-24 Huozhi Zhou , Lingda Wang , Lav R. Varshney , Ee-Peng Lim

This paper introduces and addresses a wide class of stochastic bandit problems where the function mapping the arm to the corresponding reward exhibits some known structural properties. Most existing structures (e.g. linear, Lipschitz,…

机器学习 · 统计学 2017-11-02 Richard Combes , Stefan Magureanu , Alexandre Proutiere

Clustering with bandit feedback refers to the problem of partitioning a set of items, where the clustering algorithm can sequentially query the items to receive noisy observations. The problem is formally posed as the task of partitioning…

机器学习 · 统计学 2026-01-13 Victor Thuot , Sebastian Vogt , Debarghya Ghoshdastidar , Nicolas Verzelen

In this paper, we consider a bandit problem in which there are a number of groups each consisting of infinitely many arms. Whenever a new arm is requested from a given group, its mean reward is drawn from an unknown reservoir distribution…

机器学习 · 统计学 2023-02-02 Ivan Lau , Yan Hao Ling , Mayank Shrivastava , Jonathan Scarlett

We study the stochastic multi-armed bandit (MAB) problem in the presence of side-observations across actions that occur as a result of an underlying network structure. In our model, a bipartite graph captures the relationship between…

机器学习 · 计算机科学 2017-07-14 Swapna Buccapatnam , Fang Liu , Atilla Eryilmaz , Ness B. Shroff

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

机器学习 · 计算机科学 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We analyze the $K$-armed bandit problem where the reward for each arm is a noisy realization based on an observed context under mild nonparametric assumptions. We attain tight results for top-arm identification and a sublinear regret of…

机器学习 · 计算机科学 2018-01-08 Melody Y. Guan , Heinrich Jiang

The improving multi-armed bandits problem is a formal model for allocating effort under uncertainty, motivated by scenarios such as investing research effort into new technologies, performing clinical trials, and hyperparameter selection…

机器学习 · 计算机科学 2026-05-22 Avrim Blum , Marten Garicano , Kavya Ravichandran , Dravyansh Sharma

We study the stochastic multi-armed bandit problem with non-equivalent multiple plays where, at each step, an agent chooses not only a set of arms, but also their order, which influences reward distribution. In several problem formulations…

机器学习 · 计算机科学 2015-07-20 Aleksandr Vorobev , Gleb Gusev

We study the nonstationary stochastic Multi-Armed Bandit (MAB) problem in which the distribution of rewards associated with each arm are assumed to be time-varying and the total variation in the expected rewards is subject to a variation…

机器学习 · 计算机科学 2021-01-25 Lai Wei , Vaibhav Srivastava

By exploiting the computing power and local data of distributed clients, federated learning (FL) features ubiquitous properties such as reduction of communication overhead and preserving data privacy. In each communication round of FL, the…

信息论 · 计算机科学 2020-07-21 Wenchao Xia , Tony Q. S. Quek , Kun Guo , Wanli Wen , Howard H. Yang , Hongbo Zhu
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