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We consider non-stationary multi-arm bandit (MAB) where the expected reward of each action follows a linear function of the number of times we executed the action. Our main result is a tight regret bound of $\tilde{\Theta}(T^{4/5}K^{3/5})$,…

机器学习 · 计算机科学 2025-01-09 Omer Amichay , Yishay Mansour

Multi-armed bandits (MAB) is a sequential decision-making model in which the learner controls the trade-off between exploration and exploitation to maximize its cumulative reward. Federated multi-armed bandits (FMAB) is an emerging…

机器学习 · 计算机科学 2025-02-18 Artun Saday , İlker Demirel , Yiğit Yıldırım , Cem Tekin

We consider a novel multi-armed bandit framework where the rewards obtained by pulling the arms are functions of a common latent random variable. The correlation between arms due to the common random source can be used to design a…

机器学习 · 统计学 2019-01-31 Samarth Gupta , Gauri Joshi , Osman Yağan

While significant progress has been made in designing algorithms that minimize regret in online decision-making, real-world scenarios often introduce additional complexities, perhaps the most challenging of which is missing outcomes.…

机器学习 · 统计学 2024-11-11 Ilia Mahrooghi , Mahshad Moradi , Sina Akbari , Negar Kiyavash

We study a $K$-armed bandit with delayed feedback and intermediate observations. We consider a model where intermediate observations have a form of a finite state, which is observed immediately after taking an action, whereas the loss is…

We address the M-best-arm identification problem in multi-armed bandits. A player has a limited budget to explore K arms (M<K), and once pulled, each arm yields a reward drawn (independently) from a fixed, unknown distribution. The goal is…

机器学习 · 统计学 2017-07-11 Shahin Shahrampour , Vahid Tarokh

We consider decentralized stochastic multi-armed bandit problem with multiple players in the case of different communication probabilities between players. Each player makes a decision of pulling an arm without cooperation while aiming to…

机器学习 · 计算机科学 2017-11-07 Noyan Evirgen , Alper Kose

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration. Instead of directly maximizing cumulative expected reward, we need to balance between the total reward and…

机器学习 · 统计学 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

A recent work by Schlisselberg et al. (2024) studies a delay-as-payoff model for stochastic multi-armed bandits, where the payoff (either loss or reward) is delayed for a period that is proportional to the payoff itself. While this captures…

机器学习 · 计算机科学 2025-02-21 Mengxiao Zhang , Yingfei Wang , Haipeng Luo

We study the non-stationary stochastic multi-armed bandit problem, where the reward statistics of each arm may change several times during the course of learning. The performance of a learning algorithm is evaluated in terms of their…

机器学习 · 计算机科学 2022-03-09 Yasin Abbasi-Yadkori , Andras Gyorgy , Nevena Lazic

Multi-armed bandit algorithms have become a reference solution for handling the explore/exploit dilemma in recommender systems, and many other important real-world problems, such as display advertisement. However, such algorithms usually…

机器学习 · 计算机科学 2018-05-25 Qingyun Wu , Naveen Iyer , Hongning Wang

We study a security threat to adversarial multi-armed bandits, in which an attacker perturbs the loss or reward signal to control the behavior of the victim bandit player. We show that the attacker is able to mislead any no-regret…

机器学习 · 计算机科学 2023-01-31 Yuzhe Ma , Zhijin Zhou

We consider a multi-armed bandit problem in which a set of arms is registered by each agent, and the agent receives reward when its arm is selected. An agent might strategically submit more arms with replications, which can bring more…

机器学习 · 计算机科学 2021-10-26 Suho Shin , Seungjoon Lee , Jungseul Ok

We study bandit learning in matching markets, where players and arms constitute the two market sides, and the players' utilities are linear in the arm contexts. In each round, new arms arrive with observable contexts. Then, the algorithm…

机器学习 · 计算机科学 2026-05-28 Shiyun Lin , Simon Mauras , Vianney Perchet , Nadav Merlis

In the multi-armed bandit framework, there are two formulations that are commonly employed to handle time-varying reward distributions: adversarial bandit and nonstationary bandit. Although their oracles, algorithms, and regret analysis…

机器学习 · 计算机科学 2023-11-28 Ningyuan Chen , Shuoguang Yang , Hailun Zhang

We consider a multi-player multi-armed bandit setting in the presence of adversaries that attempt to negatively affect the rewards received by the players in the system. The reward distributions for any given arm are heterogeneous across…

机器学习 · 统计学 2025-01-31 Akshayaa Magesh , Venugopal V. Veeravalli

We extend the classic multi-armed bandit (MAB) model to the setting of noncompliance, where the arm pull is a mere instrument and the treatment applied may differ from it, which gives rise to the instrument-armed bandit (IAB) problem. The…

机器学习 · 统计学 2017-05-23 Nathan Kallus

We consider the problem of sequentially allocating resources in a censored semi-bandits setup, where the learner allocates resources at each step to the arms and observes loss. The loss depends on two hidden parameters, one specific to the…

机器学习 · 计算机科学 2021-04-14 Arun Verma , Manjesh K. Hanawal , Arun Rajkumar , Raman Sankaran

We investigate a nonstochastic bandit setting in which the loss of an action is not immediately charged to the player, but rather spread over the subsequent rounds in an adversarial way. The instantaneous loss observed by the player at the…

机器学习 · 计算机科学 2022-09-27 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Claudio Gentile , Yishay Mansour

In many online learning or multi-armed bandit problems, the taken actions or pulled arms are ordinal and required to be monotone over time. Examples include dynamic pricing, in which the firms use markup pricing policies to please early…

机器学习 · 计算机科学 2021-10-08 Ningyuan Chen
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