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We consider a class of restless multi-armed bandit (RMAB) problems with unknown arm dynamics. At each time, a player chooses an arm out of N arms to play, referred to as an active arm, and receives a random reward from a finite set of…

机器学习 · 计算机科学 2019-06-20 Tomer Gafni , Kobi Cohen

Online learning algorithms that minimize regret provide strong guarantees in situations that involve repeatedly making decisions in an uncertain environment, e.g. a driver deciding what route to drive to work every day. While regret…

计算机科学与博弈论 · 计算机科学 2013-09-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Arunesh Sinha

Reinforcement learning from human feedback (RLHF) replaces hard-to-specify rewards with pairwise trajectory preferences, yet regret-oriented theory often assumes that preference labels are generated consistently from a single ground-truth…

机器学习 · 计算机科学 2026-04-03 Ming Shi , Yingbin Liang , Ness B. Shroff , Ananthram Swami

We consider the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

In this study, we explore a collaborative multi-agent stochastic linear bandit setting involving a network of $N$ agents that communicate locally to minimize their collective regret while keeping their expected cost under a specified…

机器学习 · 计算机科学 2024-10-24 Amirhossein Afsharrad , Parisa Oftadeh , Ahmadreza Moradipari , Sanjay Lall

Building on the framework introduced by Xu and Raginksy [1] for supervised learning problems, we study the best achievable performance for model-based Bayesian reinforcement learning problems. With this purpose, we define minimum Bayesian…

机器学习 · 计算机科学 2022-07-19 Amaury Gouverneur , Borja Rodríguez-Gálvez , Tobias J. Oechtering , Mikael Skoglund

We study structured multi-armed bandits, which is the problem of online decision-making under uncertainty in the presence of structural information. In this problem, the decision-maker needs to discover the best course of action despite…

机器学习 · 计算机科学 2023-07-11 Bart P. G. Van Parys , Negin Golrezaei

Upper Confidence Bound (UCB) algorithms are a widely-used class of sequential algorithms for the $K$-armed bandit problem. Despite extensive research over the past decades aimed at understanding their asymptotic and (near) minimax…

统计理论 · 数学 2024-12-10 Qiyang Han , Koulik Khamaru , Cun-Hui Zhang

In this paper, we investigate the problem of \textit{episodic reinforcement learning} with quantum oracles for state evolution. To this end, we propose an \textit{Upper Confidence Bound} (UCB) based quantum algorithmic framework to…

机器学习 · 计算机科学 2023-02-20 Bhargav Ganguly , Yulian Wu , Di Wang , Vaneet Aggarwal

We solve the COLT 2013 open problem of \citet{SCB} on minimizing regret in the setting of advice-efficient multiarmed bandits with expert advice. We give an algorithm for the setting of K arms and N experts out of which we are allowed to…

机器学习 · 计算机科学 2013-07-09 Satyen Kale

We study the challenging exploration incentive problem in both bandit and reinforcement learning, where the rewards are scale-free and potentially unbounded, driven by real-world scenarios and differing from existing work. Past works in…

机器学习 · 计算机科学 2024-05-07 Mengfan Xu , Diego Klabjan

There is a rising interest in industrial online applications where data becomes available sequentially. Inspired by the recommendation of playlists to users where their preferences can be collected during the listening of the entire…

机器学习 · 计算机科学 2022-06-02 Giulia Romano , Andrea Agostini , Francesco Trovò , Nicola Gatti , Marcello Restelli

We study the piecewise stationary combinatorial semi-bandit problem with causally related rewards. In our nonstationary environment, variations in the base arms' distributions, causal relationships between rewards, or both, change the…

机器学习 · 计算机科学 2023-07-27 Behzad Nourani-Koliji , Steven Bilaj , Amir Rezaei Balef , Setareh Maghsudi

Online experimentation with interference is a common challenge in modern applications such as e-commerce and adaptive clinical trials in medicine. For example, in online marketplaces, the revenue of a good depends on discounts applied to…

机器学习 · 计算机科学 2024-05-30 Abhineet Agarwal , Anish Agarwal , Lorenzo Masoero , Justin Whitehouse

We consider a constrained, pure exploration, stochastic multi-armed bandit formulation under a fixed budget. Each arm is associated with an unknown, possibly multi-dimensional distribution and is described by multiple attributes that are a…

机器学习 · 计算机科学 2022-11-29 Fathima Zarin Faizal , Jayakrishnan Nair

We consider the problem of online fair division of indivisible goods to players when there are a finite number of types of goods and player values are drawn from distributions with unknown means. Our goal is to maximize social welfare…

计算机科学与博弈论 · 计算机科学 2024-12-10 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

In this study, we propose a new method for constructing UCB-type algorithms for stochastic multi-armed bandits based on general convex optimization methods with an inexact oracle. We derive the regret bounds corresponding to the convergence…

机器学习 · 计算机科学 2024-02-13 Yuriy Dorn , Aleksandr Katrutsa , Ilgam Latypov , Andrey Pudovikov

Motivated by modern applications, such as online advertisement and recommender systems, we study the top-$k$ extreme contextual bandits problem, where the total number of arms can be enormous, and the learner is allowed to select $k$ arms…

The upper confidence reinforcement learning (UCRL2) algorithm introduced in (Jaksch et al., 2010) is a popular method to perform regret minimization in unknown discrete Markov Decision Processes under the average-reward criterion. Despite…

机器学习 · 计算机科学 2021-04-14 Hippolyte Bourel , Odalric-Ambrym Maillard , Mohammad Sadegh Talebi

We consider stochastic multi-armed bandits where the expected reward is a unimodal function over partially ordered arms. This important class of problems has been recently investigated in (Cope 2009, Yu 2011). The set of arms is either…

机器学习 · 计算机科学 2014-05-21 Richard Combes , Alexandre Proutiere