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Contextual multi-armed bandit is a fundamental learning framework for making a sequence of decisions, e.g., advertising recommendations for a sequence of arriving users. Recent works have shown that clustering these users based on the…

机器学习 · 计算机科学 2025-10-28 Jingyuan Liu , Zeyu Zhang , Xuchuang Wang , Xutong Liu , John C. S. Lui , Mohammad Hajiesmaili , Carlee Joe-Wong

We study the combinatorial pure exploration problem Best-Set in stochastic multi-armed bandits. In a Best-Set instance, we are given $n$ arms with unknown reward distributions, as well as a family $\mathcal{F}$ of feasible subsets over the…

机器学习 · 计算机科学 2017-06-06 Lijie Chen , Anupam Gupta , Jian Li , Mingda Qiao , Ruosong Wang

We consider the problem of simultaneous user-scheduling, power-allocation, and rate-selection in an OFDMA downlink, with the goal of maximizing expected sum-utility under a sum-power constraint. In doing so, we consider a family of generic…

信息论 · 计算机科学 2015-05-20 Rohit Aggarwal , Mohamad Assaad , C. Emre Koksal , Philip Schniter

We introduce the \emph{Correlated Preference Bandits} problem with random utility-based choice models (RUMs), where the goal is to identify the best item from a given pool of $n$ items through online subsetwise preference feedback. We…

机器学习 · 计算机科学 2022-02-25 Suprovat Ghoshal , Aadirupa Saha

This paper offers a comprehensive analysis of collaborative bandit algorithms and provides a thorough comparison of their performance. Collaborative bandits aim to improve the performance of contextual bandits by introducing relationships…

机器学习 · 计算机科学 2025-10-07 Eren Ozbay , Ashkan Golgoon

In this paper, we consider the low rank structure of the reward sequence of the pure exploration problems. Firstly, we propose the separated setting in pure exploration problem, where the exploration strategy cannot receive the feedback of…

机器学习 · 计算机科学 2023-06-29 Yaxiong Liu , Atsuyoshi Nakamura , Kohei Hatano , Eiji Takimoto

We study the real-valued combinatorial pure exploration problem in the stochastic multi-armed bandit (R-CPE-MAB). We study the case where the size of the action set is polynomial with respect to the number of arms. In such a case, the…

机器学习 · 计算机科学 2025-01-10 Shintaro Nakamura , Masashi Sugiyama

The contextual linear bandit is an important online learning problem where given arm features, a learning agent selects an arm at each round to maximize the cumulative rewards in the long run. A line of works, called the clustering of…

机器学习 · 计算机科学 2023-10-11 Zhiyong Wang , Jize Xie , Xutong Liu , Shuai Li , John C. S. Lui

Multi-Armed Bandit (MAB) algorithms are widely used in recommender systems that require continuous, incremental learning. A core aspect of MABs is the exploration-exploitation trade-off: choosing between exploiting items likely to be…

机器学习 · 计算机科学 2026-04-20 Pedro R. Pires , Gregorio F. Azevedo , Pietro L. Campos , Rafael T. Sereicikas , Tiago A. Almeida

We study the problem of the identification of m arms with largest means under a fixed error rate $\delta$ (fixed-confidence Top-m identification), for misspecified linear bandit models. This problem is motivated by practical applications,…

人工智能 · 计算机科学 2021-11-03 Clémence Réda , Andrea Tirinzoni , Rémy Degenne

We study optimal experimental design for multinomial logit (MNL) bandits, where an agent repeatedly selects a subset of $K$ items from a ground set of size $N$ and observes single-choice feedback. Unlike linear or generalized linear…

机器学习 · 统计学 2026-05-26 Joongkyu Lee , Min-hwan Oh

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

机器学习 · 计算机科学 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

We consider a dynamic assortment selection problem, where in every round the retailer offers a subset (assortment) of $N$ substitutable products to a consumer, who selects one of these products according to a multinomial logit (MNL) choice…

机器学习 · 计算机科学 2018-07-03 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi

We introduce the model selection problem in pure exploration linear bandits, where the learner needs to adapt to the instance-dependent complexity measure of the smallest hypothesis class containing the true model. We design algorithms in…

机器学习 · 统计学 2022-03-18 Yinglun Zhu , Julian Katz-Samuels , Robert Nowak

Combinatorial bandits extend the classical bandit framework to settings where the learner selects multiple arms in each round, motivated by applications such as online recommendation and assortment optimization. While extensions of upper…

机器学习 · 计算机科学 2025-10-29 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou

We consider the adversarial combinatorial multi-armed bandit (CMAB) problem, whose decision set can be exponentially large with respect to the number of given arms. To avoid dealing with such large decision sets directly, we propose an…

数据结构与算法 · 计算机科学 2017-07-27 Shinsaku Sakaue , Masakazu Ishihata , Shin-ichi Minato

In this letter, we propose a joint resource allocation algorithm for an OFDM-based multi-user system assisted by an improved Decode-and-Forward (DF) relay. We aim at maximizing the sum rate of the system by jointly optimizing subcarrier…

信号处理 · 电气工程与系统科学 2020-03-13 Yong Liu , Wen Chen

We study the task of maximizing rewards from recommending items (actions) to users sequentially interacting with a recommender system. Users are modeled as latent mixtures of C many representative user classes, where each class specifies a…

机器学习 · 计算机科学 2016-09-07 Aditya Gopalan , Odalric-Ambrym Maillard , Mohammadi Zaki

In many web applications, a recommendation is not a single item suggested to a user but a list of possibly interesting contents that may be ranked in some contexts. The combinatorial bandit problem has been studied quite extensively these…

数据结构与算法 · 计算机科学 2016-05-27 Hossein Vahabi , Paul Lagrée , Claire Vernade , Olivier Cappé

We consider distributed linear bandits where $M$ agents learn collaboratively to minimize the overall cumulative regret incurred by all agents. Information exchange is facilitated by a central server, and both the uplink and downlink…

机器学习 · 计算机科学 2025-11-17 Sudeep Salgia , Qing Zhao