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We study the problem of designing replication-proof bandit mechanisms when agents strategically register or replicate their own arms to maximize their payoff. Specifically, we consider Bayesian agents who only know the distribution from…

Computer Science and Game Theory · Computer Science 2025-02-04 Suho Shin , Seyed A. Esmaeili , MohammadTaghi Hajiaghayi

In machine learning we often try to optimise a decision rule that would have worked well over a historical dataset; this is the so called empirical risk minimisation principle. In the context of learning from recommender system logs,…

Information Retrieval · Computer Science 2019-09-19 Olivier Jeunen , Dmytro Mykhaylov , David Rohde , Flavian Vasile , Alexandre Gilotte , Martin Bompaire

We consider the stochastic and adversarial settings of continuum armed bandits where the arms are indexed by [0,1]^d. The reward functions r:[0,1]^d -> R are assumed to intrinsically depend on at most k coordinate variables implying…

Machine Learning · Computer Science 2014-08-25 Hemant Tyagi , Bernd Gärtner

We study a novel variant of the parameterized bandits problem in which the learner can observe additional auxiliary feedback that is correlated with the observed reward. The auxiliary feedback is readily available in many real-life…

Machine Learning · Computer Science 2023-11-07 Arun Verma , Zhongxiang Dai , Yao Shu , Bryan Kian Hsiang Low

We study the problem of stochastic combinatorial pure exploration (CPE), where an agent sequentially pulls a set of single arms (a.k.a. a super arm) and tries to find the best super arm. Among a variety of problem settings of the CPE, we…

Machine Learning · Computer Science 2021-10-26 Yuko Kuroki , Liyuan Xu , Atsushi Miyauchi , Junya Honda , Masashi Sugiyama

Satisficing is a relaxation of maximizing and allows for less risky decision making in the face of uncertainty. We propose two sets of satisficing objectives for the multi-armed bandit problem, where the objective is to achieve reward-based…

Machine Learning · Computer Science 2016-12-20 Paul Reverdy , Vaibhav Srivastava , Naomi Ehrich Leonard

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

Machine Learning · Computer Science 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

In this paper, we discuss the asymptotic behavior of the Upper Confidence Bound (UCB) algorithm in the context of multiarmed bandit problems and discuss its implication in downstream inferential tasks. While inferential tasks become…

Machine Learning · Statistics 2024-08-09 Koulik Khamaru , Cun-Hui Zhang

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.…

Statistics Theory · Mathematics 2010-03-09 Philippe Rigollet , Assaf Zeevi

In the regret-based formulation of Multi-armed Bandit (MAB) problems, except in rare instances, much of the literature focuses on arms with i.i.d. rewards. In this paper, we consider the problem of obtaining regret guarantees for MAB…

Machine Learning · Computer Science 2022-10-11 Arghyadip Roy , Sanjay Shakkottai , R. Srikant

We study the $K$-armed dueling bandit problem, a variation of the standard stochastic bandit problem where the feedback is limited to relative comparisons of a pair of arms. We introduce a tight asymptotic regret lower bound that is based…

Machine Learning · Statistics 2015-06-30 Junpei Komiyama , Junya Honda , Hisashi Kashima , Hiroshi Nakagawa

In many real-world applications, it is hard to provide a reward signal in each step of a Reinforcement Learning (RL) process and more natural to give feedback when an episode ends. To this end, we study the recently proposed model of RL…

Machine Learning · Computer Science 2024-05-15 Asaf Cassel , Haipeng Luo , Aviv Rosenberg , Dmitry Sotnikov

We study the problem of information sharing and cooperation in Multi-Player Multi-Armed bandits. We propose the first algorithm that achieves logarithmic regret for this problem when the collision reward is unknown. Our results are based on…

Machine Learning · Computer Science 2022-10-04 Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

We consider the problem of learning to play a repeated multi-agent game with an unknown reward function. Single player online learning algorithms attain strong regret bounds when provided with full information feedback, which unfortunately…

Machine Learning · Computer Science 2019-10-29 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

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…

Machine Learning · Computer Science 2017-07-14 Swapna Buccapatnam , Fang Liu , Atilla Eryilmaz , Ness B. Shroff

The multi-armed bandit (MAB) problem is a classical problem that models sequential decision-making under uncertainty in reinforcement learning. In this study, we propose a new generalized upper confidence bound (UCB) algorithm (GWA-UCB1) by…

Machine Learning · Computer Science 2023-08-29 Nobuhito Manome , Shuji Shinohara , Ung-il Chung

In this work, we study sequential choice bandits with feedback. We propose bandit algorithms for a platform that personalizes users' experience to maximize its rewards. For each action directed to a given user, the platform is given a…

Machine Learning · Statistics 2021-01-06 Anshuka Rangi , Massimo Franceschetti , Long Tran-Thanh

The combinatorial stochastic semi-bandit problem is an extension of the classical multi-armed bandit problem in which an algorithm pulls more than one arm at each stage and the rewards of all pulled arms are revealed. One difference with…

Machine Learning · Computer Science 2016-12-07 Rémy Degenne , Vianney Perchet

This paper introduces a general multi-agent bandit model in which each agent is facing a finite set of arms and may communicate with other agents through a central controller in order to identify, in pure exploration, or play, in regret…

Machine Learning · Computer Science 2022-10-31 Clémence Réda , Sattar Vakili , Emilie Kaufmann

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

Machine Learning · Computer Science 2020-02-06 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari