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We study an infinite-armed bandit problem where actions' mean rewards are initially sampled from a reservoir distribution. Most prior works in this setting focused on stationary rewards (Berry et al., 1997; Wang et al., 2008; Bonald and…

机器学习 · 计算机科学 2025-02-04 Joe Suk , Jung-hun Kim

An agent in a nonstationary contextual bandit problem should balance between exploration and the exploitation of (periodic or structured) patterns present in its previous experiences. Handcrafting an appropriate historical context is an…

机器学习 · 计算机科学 2023-11-06 Aditya Ramesh , Paulo Rauber , Michelangelo Conserva , Jürgen Schmidhuber

In a recent work, Laforgue et al. introduce the model of last switch dependent (LSD) bandits, in an attempt to capture nonstationary phenomena induced by the interaction between the player and the environment. Examples include satiation,…

机器学习 · 计算机科学 2023-06-02 Ayoub Foussoul , Vineet Goyal , Orestis Papadigenopoulos , Assaf Zeevi

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

Communication networks shared by many users are a widespread challenge nowadays. In this paper we address several aspects of this challenge simultaneously: learning unknown stochastic network characteristics, sharing resources with other…

机器学习 · 计算机科学 2018-08-16 Orly Avner , Shie Mannor

Real-world applications of contextual bandits often exhibit non-stationarity due to seasonality, serendipity, and evolving social trends. While a number of non-stationary contextual bandit learning algorithms have been proposed in the…

机器学习 · 计算机科学 2023-10-17 Zheqing Zhu , Yueyang Liu , Xu Kuang , Benjamin Van Roy

The stochastic multi-armed bandit has provided a framework for studying decision-making in unknown environments. We propose a variant of the stochastic multi-armed bandit where the rewards are sampled from a stochastic linear dynamical…

机器学习 · 计算机科学 2022-04-13 Jonathan Gornet , Mehdi Hosseinzadeh , Bruno Sinopoli

Despite the many recent advances in reinforcement learning (RL), the question of learning policies that robustly satisfy state constraints under unknown disturbances remains open. In this paper, we offer a new perspective on achieving…

机器学习 · 计算机科学 2025-12-23 Pierre-François Massiani , Alexander von Rohr , Lukas Haverbeck , Sebastian Trimpe

In this study, we consider the infinitely many-armed bandit problems in a rested rotting setting, where the mean reward of an arm may decrease with each pull, while otherwise, it remains unchanged. We explore two scenarios regarding the…

机器学习 · 计算机科学 2025-06-03 Jung-hun Kim , Milan Vojnovic , Se-Young Yun

In $\mathcal{X}$-armed bandit problem an agent sequentially interacts with environment which yields a reward based on the vector input the agent provides. The agent's goal is to maximise the sum of these rewards across some number of time…

机器学习 · 统计学 2021-01-19 Valeriy Avanesov

Rested and Restless Bandits are two well-known bandit settings that are useful to model real-world sequential decision-making problems in which the expected reward of an arm evolves over time due to the actions we perform or due to the…

In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of interest is regret, defined as the gap between the expected…

最优化与控制 · 数学 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

We study a decentralized collaborative requesting problem that aims to optimize the information freshness of time-sensitive clients in edge networks consisting of multiple clients, access nodes (ANs), and servers. Clients request content…

机器学习 · 计算机科学 2026-01-21 Yi Zhuang , Kun Yang , Xingran Chen

A sensing policy for the restless multi-armed bandit problem with stationary but unknown reward distributions is proposed. The work is presented in the context of cognitive radios in which the bandit problem arises when deciding which parts…

信息论 · 计算机科学 2012-11-20 Jan Oksanen , Visa Koivunen , H. Vincent Poor

We consider the problem of maximizing the expected average reward obtained over an infinite time horizon by $n$ weakly coupled Markov decision processes. Our setup is a substantial generalization of the multi-armed restless bandit problem…

最优化与控制 · 数学 2026-04-01 Diego Goldsztajn , Konstantin Avrachenkov

Applying Reinforcement Learning (RL) to Restless Multi-Arm Bandits (RMABs) offers a promising avenue for addressing allocation problems with resource constraints and temporal dynamics. However, classic RMAB models largely overlook the…

机器学习 · 计算机科学 2025-03-20 Yunfan Zhao , Tonghan Wang , Dheeraj Nagaraj , Aparna Taneja , Milind Tambe

In many real-world applications, multiple agents seek to learn how to perform highly related yet slightly different tasks in an online bandit learning protocol. We formulate this problem as the $\epsilon$-multi-player multi-armed bandit…

机器学习 · 计算机科学 2021-07-21 Zhi Wang , Chicheng Zhang , Manish Kumar Singh , Laurel D. Riek , Kamalika Chaudhuri

We consider a multi-armed bandit problem motivated by situations where only the extreme values, as opposed to expected values in the classical bandit setting, are of interest. We propose distribution free algorithms using robust statistics…

机器学习 · 统计学 2021-09-10 Sujay Bhatt , Ping Li , Gennady Samorodnitsky

Causal knowledge can be used to support decision-making problems. This has been recognized in the causal bandits literature, where a causal (multi-armed) bandit is characterized by a causal graphical model and a target variable. The arms…

机器学习 · 计算机科学 2025-10-14 Francisco N. F. Q. Simoes , Itai Feigenbaum , Mehdi Dastani , Thijs van Ommen

In this paper, we investigate a largely extended version of classical MAB problem, called networked combinatorial bandit problems. In particular, we consider the setting of a decision maker over a networked bandits as follows: each time a…

机器学习 · 计算机科学 2015-03-23 Shaojie Tang , Yaqin Zhou