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We consider the combinatorial bandits problem with semi-bandit feedback under finite sampling budget constraints, in which the learner can carry out its action only for a limited number of times specified by an overall budget. The action is…

Machine Learning · Computer Science 2022-10-17 Jasmin Brandt , Viktor Bengs , Björn Haddenhorst , Eyke Hüllermeier

In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property.…

Optimization and Control · Mathematics 2019-07-02 Omid Sadeghi , Maryam Fazel

We consider the continuum-armed bandits problem, under a novel setting of recommending the best arms within a fixed budget under aggregated feedback. This is motivated by applications where the precise rewards are impossible or expensive to…

Machine Learning · Computer Science 2021-12-28 Mengyan Zhang , Russell Tsuchida , Cheng Soon Ong

Bandit convex optimization (BCO) is a general framework for online decision making under uncertainty. While tight regret bounds for general convex losses have been established, existing algorithms achieving these bounds have prohibitive…

Machine Learning · Computer Science 2024-10-04 Arun Suggala , Y. Jennifer Sun , Praneeth Netrapalli , Elad Hazan

In this paper, we provide the first investigation into adaptive combinatorial experimental design, focusing on the trade-off between regret minimization and statistical power in combinatorial multi-armed bandits (CMAB). While minimizing…

Machine Learning · Computer Science 2026-03-02 Hongrui Xie , Junyu Cao , Kan Xu

This paper introduces a federated learning framework tailored for online combinatorial optimization with bandit feedback. In this setting, agents select subsets of arms, observe noisy rewards for these subsets without accessing individual…

Machine Learning · Computer Science 2024-05-10 Fares Fourati , Mohamed-Slim Alouini , Vaneet Aggarwal

Contextual bandit algorithms are at the core of many applications, including recommender systems, clinical trials, and optimal portfolio selection. One of the most popular problems studied in the contextual bandit literature is to maximize…

Machine Learning · Computer Science 2023-10-24 Siddhant Chaudhary , Abhishek Sinha

A matching platform is a system that matches different types of participants, such as companies and job-seekers. In such a platform, merely maximizing the number of matches can result in matches being concentrated on highly popular…

Machine Learning · Computer Science 2026-03-10 Yuki Shibukawa , Koichi Tanaka , Yuta Saito , Shinji Ito

The goal of data-driven algorithm design is to obtain high-performing algorithms for specific application domains using machine learning and data. Across many fields in AI, science, and engineering, practitioners will often fix a family of…

Machine Learning · Computer Science 2020-12-22 Maria-Florina Balcan , Travis Dick , Wesley Pegden

Standard approaches to decision-making under uncertainty focus on sequential exploration of the space of decisions. However, \textit{simultaneously} proposing a batch of decisions, which leverages available resources for parallel…

Machine Learning · Statistics 2023-02-07 Jeffrey Chan , Aldo Pacchiano , Nilesh Tripuraneni , Yun S. Song , Peter Bartlett , Michael I. Jordan

The evaluation of hyperparameters, neural architectures, or data augmentation policies becomes a critical model selection problem in advanced deep learning with a large hyperparameter search space. In this paper, we propose an efficient and…

Machine Learning · Statistics 2020-12-17 Yimin Huang , Yujun Li , Hanrong Ye , Zhenguo Li , Zhihua Zhang

We study sequential decision-making in batched nonparametric contextual bandits, where actions are selected over a finite horizon divided into a small number of batches. Motivated by constraints in domains such as medicine and marketing --…

Machine Learning · Statistics 2025-08-04 Sakshi Arya

This paper discusses a scenario approach to robust optimization of a blackbox function in a bandit setting. We assume that the blackbox function can be modeled as a Gaussian Process (GP) for every realization of the uncertain parameter. We…

Optimization and Control · Mathematics 2018-05-01 Shaunak D. Bopardikar , Vaibhav Srivastava

This paper investigates the fusion of absolute (reward) and relative (dueling) feedback in stochastic bandits, where both feedback types are gathered in each decision round. We derive a regret lower bound, demonstrating that an efficient…

Machine Learning · Computer Science 2025-04-23 Xuchuang Wang , Qirun Zeng , Jinhang Zuo , Xutong Liu , Mohammad Hajiesmaili , John C. S. Lui , Adam Wierman

We consider the framework of methods for unconstrained minimization that are, in each iteration, restricted to a model that is only a valid approximation to the objective function on some affine subspace containing an incumbent point. These…

Optimization and Control · Mathematics 2025-11-26 Matt Menickelly

The problem of online learning with graph feedback has been extensively studied in the literature due to its generality and potential to model various learning tasks. Existing works mainly study the adversarial and stochastic feedback…

Machine Learning · Computer Science 2022-08-23 Fang Kong , Yichi Zhou , Shuai Li

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model.…

Machine Learning · Statistics 2021-06-10 Johannes Kirschner , Andreas Krause

The bandits with knapsack (BwK) framework models online decision-making problems in which an agent makes a sequence of decisions subject to resource consumption constraints. The traditional model assumes that each action consumes a…

Machine Learning · Computer Science 2023-06-16 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

The analysis of online least squares estimation is at the heart of many stochastic sequential decision making problems. We employ tools from the self-normalized processes to provide a simple and self-contained proof of a tail bound of a…

Artificial Intelligence · Computer Science 2011-02-15 Yasin Abbasi-Yadkori , David Pal , Csaba Szepesvari

In this paper, we revisit Stochastic Continuous Submodular Maximization in both offline and online settings, which can benefit wide applications in machine learning and operations research areas. We present a boosting framework covering…

Machine Learning · Computer Science 2022-06-13 Qixin Zhang , Zengde Deng , Zaiyi Chen , Haoyuan Hu , Yu Yang