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We consider a linear stochastic bandit problem involving $M$ agents that can collaborate via a central server to minimize regret. A fraction $\alpha$ of these agents are adversarial and can act arbitrarily, leading to the following tension:…

机器学习 · 计算机科学 2022-06-08 Aritra Mitra , Arman Adibi , George J. Pappas , Hamed Hassani

We consider a replicable stochastic multi-armed bandit algorithm that ensures, with high probability, that the algorithm's sequence of actions is not affected by the randomness inherent in the dataset. Replicability allows third parties to…

机器学习 · 统计学 2025-01-14 Junpei Komiyama , Shinji Ito , Yuichi Yoshida , Souta Koshino

We consider the nonstochastic multi-agent multi-armed bandit problem with agents collaborating via a communication network with delays. We show a lower bound for individual regret of all agents. We show that with suitable regularizers and…

机器学习 · 统计学 2023-10-24 Jialin Yi , Milan Vojnović

We study a variation of the classical multi-armed bandits problem. In this problem, the learner has to make a sequence of decisions, picking from a fixed set of choices. In each round, she receives as feedback only the loss incurred from…

机器学习 · 计算机科学 2017-09-18 Paresh Nakhe , Rebecca Reiffenhäuser

We present a modified tuning of the algorithm of Zimmert and Seldin [2020] for adversarial multiarmed bandits with delayed feedback, which in addition to the minimax optimal adversarial regret guarantee shown by Zimmert and Seldin…

机器学习 · 计算机科学 2022-07-01 Saeed Masoudian , Julian Zimmert , Yevgeny Seldin

We propose a new algorithm for adversarial multi-armed bandits with unrestricted delays. The algorithm is based on a novel hybrid regularizer applied in the Follow the Regularized Leader (FTRL) framework. It achieves…

机器学习 · 计算机科学 2020-06-17 Julian Zimmert , Yevgeny Seldin

Regret minimization in streaming multi-armed bandits (MABs) has been studied extensively in recent years. In the single-pass setting with $K$ arms and $T$ trials, a regret lower bound of $\Omega(T^{2/3})$ has been proved for any algorithm…

机器学习 · 计算机科学 2023-06-06 Chen Wang

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

We consider a stochastic multi-armed bandit (MAB) problem motivated by ``large'' action spaces, and endowed with a population of arms containing exactly $K$ arm-types, each characterized by a distinct mean reward. The decision maker is…

机器学习 · 计算机科学 2023-01-19 Anand Kalvit , Assaf Zeevi

This paper considers two fundamental sequential decision-making problems: the problem of prediction with expert advice and the multi-armed bandit problem. We focus on stochastic regimes in which an adversary may corrupt losses, and we…

机器学习 · 统计学 2021-09-24 Shinji Ito

In several applications of the stochastic multi-armed bandit problem, the traditional objective of maximizing the expected total reward can be inappropriate. In this paper, motivated by certain operational concerns in online platforms, we…

机器学习 · 计算机科学 2024-10-16 Eren Ozbay , Vijay Kamble

We consider a combinatorial multi-armed bandit problem for maximum value reward function under maximum value and index feedback. This is a new feedback structure that lies in between commonly studied semi-bandit and full-bandit feedback…

机器学习 · 计算机科学 2023-05-26 Yiliu Wang , Wei Chen , Milan Vojnović

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

机器学习 · 计算机科学 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

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…

机器学习 · 统计学 2015-06-30 Junpei Komiyama , Junya Honda , Hisashi Kashima , Hiroshi Nakagawa

We initiate the study of a repeated principal-agent problem over a finite horizon $T$, where a principal sequentially interacts with $K\geq 2$ types of agents arriving in an adversarial order. At each round, the principal strategically…

计算机科学与博弈论 · 计算机科学 2025-08-05 Junyan Liu , Arnab Maiti , Artin Tajdini , Kevin Jamieson , Lillian J. Ratliff

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

We consider the problem of learning in single-player and multiplayer multiarmed bandit models. Bandit problems are classes of online learning problems that capture exploration versus exploitation tradeoffs. In a multiarmed bandit model,…

机器学习 · 统计学 2016-12-02 Naumaan Nayyar , Dileep Kalathil , Rahul Jain

Nash regret has recently emerged as a principled fairness-aware performance metric for stochastic multi-armed bandits, motivated by the Nash Social Welfare objective. Although this notion has been extended to linear bandits, existing…

机器学习 · 计算机科学 2026-02-02 Dhruv Sarkar , Nishant Pandey , Sayak Ray Chowdhury

Fast changing states or volatile environments pose a significant challenge to online optimization, which needs to perform rapid adaptation under limited observation. In this paper, we give query and regret optimal bandit algorithms under…

机器学习 · 计算机科学 2024-01-18 Zhou Lu , Qiuyi Zhang , Xinyi Chen , Fred Zhang , David Woodruff , Elad Hazan

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…