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We consider a multiobjective multiarmed bandit problem with lexicographically ordered objectives. In this problem, the goal of the learner is to select arms that are lexicographic optimal as much as possible without knowing the arm reward…

机器学习 · 计算机科学 2019-07-30 Alihan Hüyük , Cem Tekin

We study for the first time, stochastic dueling bandits over continuous action spaces with Lipschitz structure, where feedback is purely comparative. While dueling bandits and Lipschitz bandits have been studied separately, their…

机器学习 · 计算机科学 2026-04-02 Mudit Sharma , Shweta Jain , Vaneet Aggarwal , Ganesh Ghalme

In this paper, we study the collaborative learning model, which concerns the tradeoff between parallelism and communication overhead in multi-agent multi-armed bandits. For regret minimization in multi-armed bandits, we present the first…

机器学习 · 计算机科学 2023-12-22 Nikolai Karpov , Qin Zhang

In this paper we consider the adversarial contextual bandit problem in metric spaces. The paper "Nearest neighbour with bandit feedback" tackled this problem but when there are many contexts near the decision boundary of the comparator…

机器学习 · 计算机科学 2023-12-18 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis

In stochastic contextual bandits, an agent sequentially makes actions from a time-dependent action set based on past experience to minimize the cumulative regret. Like many other machine learning algorithms, the performance of bandits…

机器学习 · 计算机科学 2024-04-09 Yue Kang , Cho-Jui Hsieh , Thomas C. M. Lee

In multi-armed bandit problems, the typical goal is to identify the arm with the highest reward. This paper explores a threshold-based bandit problem, aiming to select an arm based on its relation to a prescribed threshold \(\tau \). We…

机器学习 · 计算机科学 2025-09-03 Chanakya Varude , Jay Chaudhary , Siddharth Kaushik , Prasanna Chaporkar

We study dynamic regret minimization in unconstrained adversarial linear bandit problems. In this setting, a learner must minimize the cumulative loss relative to an arbitrary sequence of comparators…

机器学习 · 计算机科学 2026-03-30 Alberto Rumi , Andrew Jacobsen , Nicolò Cesa-Bianchi , Fabio Vitale

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 the problem of federated stochastic multi-arm contextual bandits with unknown contexts, in which M agents are faced with different bandits and collaborate to learn. The communication model consists of a central server and the…

机器学习 · 计算机科学 2024-01-31 Jiabin Lin , Shana Moothedath

We study the multi-player stochastic multiarmed bandit (MAB) problem in an abruptly changing environment. We consider a collision model in which a player receives reward at an arm if it is the only player to select the arm. We design two…

机器学习 · 统计学 2018-12-14 Lai Wei , Vaibhav Srivastava

This paper presents a class of Dynamic Multi-Armed Bandit problems where the reward can be modeled as the noisy output of a time varying linear stochastic dynamic system that satisfies some boundedness constraints. The class allows many…

机器学习 · 计算机科学 2017-10-10 T. W. U. Madhushani , D. H. S. Maithripala , N. E. Leonard

We consider a stochastic bandit problem with countably many arms that belong to a finite set of types, each characterized by a unique mean reward. In addition, there is a fixed distribution over types which sets the proportion of each type…

机器学习 · 计算机科学 2021-05-25 Anand Kalvit , Assaf Zeevi

In this paper we study the non-stationary stochastic optimization question with bandit feedback and dynamic regret measures. The seminal work of Besbes et al. (2015) shows that, when aggregated function changes is known a priori, a simple…

机器学习 · 统计学 2022-10-12 Yining Wang

In this paper we propose a novel experimental design-based algorithm to minimize regret in online stochastic linear and combinatorial bandits. While existing literature tends to focus on optimism-based algorithms--which have been shown to…

机器学习 · 计算机科学 2021-03-02 Andrew Wagenmaker , Julian Katz-Samuels , Kevin Jamieson

We study the best-arm identification problem with fixed confidence when contextual (covariate) information is available in stochastic bandits. Although we can use contextual information in each round, we are interested in the marginalized…

机器学习 · 计算机科学 2024-02-27 Masahiro Kato , Kaito Ariu

We study online reinforcement learning in linear Markov decision processes with adversarial losses and bandit feedback, without prior knowledge on transitions or access to simulators. We introduce two algorithms that achieve improved regret…

机器学习 · 计算机科学 2023-10-19 Haolin Liu , Chen-Yu Wei , Julian Zimmert

Motivated by online recommendation and advertising systems, we consider a causal model for stochastic contextual bandits with a latent low-dimensional confounder. In our model, there are $L$ observed contexts and $K$ arms of the bandit. The…

机器学习 · 计算机科学 2016-10-28 Rajat Sen , Karthikeyan Shanmugam , Murat Kocaoglu , Alexandros G. Dimakis , Sanjay Shakkottai

Contextual dueling bandits form a cornerstone of preference-based decision-making, with critical applications in recommender systems and large language model alignment. However, standard algorithms rely on the idealized assumption of…

机器学习 · 计算机科学 2026-05-27 Xiangyi Wang , Pingchen Lu , Jie Mao , Mingze Kong , Zhi Hong , Zhiyong Wang , Zhongxiang Dai

Contextual bandits serve as a fundamental model for many sequential decision making tasks. The most popular theoretically justified approaches are based on the optimism principle. While these algorithms can be practical, they are known to…

机器学习 · 计算机科学 2020-03-17 Botao Hao , Tor Lattimore , Csaba Szepesvari

We study the stochastic linear bandit problem with multiple arms over $T$ rounds, where the covariate dimension $d$ may exceed $T$, but each arm-specific parameter vector is $s$-sparse. We begin by analyzing the sequential estimation…

统计理论 · 数学 2025-05-26 Jingyu Liu , Yanglei Song