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The RKHS bandit problem (also called kernelized multi-armed bandit problem) is an online optimization problem of non-linear functions with noisy feedback. Although the problem has been extensively studied, there are unsatisfactory results…

Machine Learning · Computer Science 2021-07-27 Sho Takemori , Masahiro Sato

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

Machine Learning · Statistics 2016-10-17 Tor Lattimore , Csaba Szepesvari

We study the piecewise-stationary restless multi-armed bandit (PS-RMAB) problem, where each arm evolves as a Markov chain but \emph{mean rewards may change across unknown segments}. To address the resulting exploration--detection delay…

Information Theory · Computer Science 2026-04-14 Kuan-Ta Li , Chia-Chun Lin , Ping-Chun Hsieh , Yu-Chih Huang

A central problem in sequential decision making is to develop algorithms that are practical and computationally efficient, yet support the use of flexible, general-purpose models. Focusing on the contextual bandit problem, recent progress…

Machine Learning · Computer Science 2022-07-14 Yinglun Zhu , Dylan J. Foster , John Langford , Paul Mineiro

Partial monitoring is an expressive framework for sequential decision-making with an abundance of applications, including graph-structured and dueling bandits, dynamic pricing and transductive feedback models. We survey and extend recent…

Machine Learning · Computer Science 2023-11-15 Johannes Kirschner , Tor Lattimore , Andreas Krause

We consider the multi armed bandit problem in non-stationary environments. Based on the Bayesian method, we propose a variant of Thompson Sampling which can be used in both rested and restless bandit scenarios. Applying discounting to the…

Machine Learning · Statistics 2017-08-01 Vishnu Raj , Sheetal Kalyani

We propose and study Collpasing Bandits, a new restless multi-armed bandit (RMAB) setting in which each arm follows a binary-state Markovian process with a special structure: when an arm is played, the state is fully observed, thus…

Machine Learning · Computer Science 2020-07-10 Aditya Mate , Jackson A. Killian , Haifeng Xu , Andrew Perrault , Milind Tambe

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors under a linear observation cost. Neighbors are defined by a network graph that encodes the…

Optimization and Control · Mathematics 2020-04-09 Udari Madhushani , Naomi Ehrich Leonard

Restless bandit problems are instances of non-stationary multi-armed bandits. These problems have been studied well from the optimization perspective, where the goal is to efficiently find a near-optimal policy when system parameters are…

Machine Learning · Computer Science 2019-10-29 Young Hun Jung , Ambuj Tewari

Restless bandits are an important class of problems with applications in recommender systems, active learning, revenue management and other areas. We consider infinite-horizon discounted restless bandits with many arms where a fixed…

Machine Learning · Computer Science 2022-03-31 Xiangyu Zhang , Peter I. Frazier

We adopt an optimal-control framework for addressing the undiscounted infinite-horizon discrete-time restless $N$-armed bandit problem. Unlike most studies that rely on constructing policies based on the relaxed single-armed Markov Decision…

Optimization and Control · Mathematics 2024-03-19 Chen YAN

The restless multi-armed bandit (RMAB) framework is a popular model with applications across a wide variety of fields. However, its solution is hindered by the exponentially growing state space (with respect to the number of arms) and the…

Machine Learning · Computer Science 2025-08-05 Gongpu Chen , Soung Chang Liew , Deniz Gunduz

In restless bandits, a central agent is tasked with optimally distributing limited resources across several bandits (arms), with each arm being a Markov decision process. In this work, we generalize the traditional restless bandits problem…

Machine Learning · Computer Science 2026-02-20 Nima Akbarzadeh , Yossiri Adulyasak , Erick Delage

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

Machine Learning · Computer Science 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

In this paper we consider the problem of learning the optimal policy for uncontrolled restless bandit problems. In an uncontrolled restless bandit problem, there is a finite set of arms, each of which when pulled yields a positive reward.…

Optimization and Control · Mathematics 2015-01-30 Cem Tekin , Mingyan Liu

We consider the contextual bandit problem on general action and context spaces, where the learner's rewards depend on their selected actions and an observable context. This generalizes the standard multi-armed bandit to the case where side…

Machine Learning · Statistics 2023-01-03 Moise Blanchard , Steve Hanneke , Patrick Jaillet

Contextual bandits are widely-used in the study of learning-based control policies for finite action spaces. While the problem is well-studied for bandits with perfectly observed context vectors, little is known about the case of…

Machine Learning · Statistics 2022-02-03 Hongju Park , Mohamad Kazem Shirani Faradonbeh

A latent bandit problem is one in which the learning agent knows the arm reward distributions conditioned on an unknown discrete latent state. The primary goal of the agent is to identify the latent state, after which it can act optimally.…

Machine Learning · Computer Science 2020-06-17 Joey Hong , Branislav Kveton , Manzil Zaheer , Yinlam Chow , Amr Ahmed , Craig Boutilier

Continuously learning and leveraging the knowledge accumulated from prior tasks in order to improve future performance is a long standing machine learning problem. In this paper, we study the problem in the multi-armed bandit framework with…

Machine Learning · Computer Science 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

This paper introduces a simple efficient learning algorithms for general sequential decision making. The algorithm combines Optimism for exploration with Maximum Likelihood Estimation for model estimation, which is thus named OMLE. We prove…

Machine Learning · Computer Science 2022-11-24 Qinghua Liu , Praneeth Netrapalli , Csaba Szepesvári , Chi Jin