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Although traditional optimization methods focus on finding a single optimal solution, most objective functions in modern machine learning problems, especially those in deep learning, often have multiple or infinite numbers of optima.…

Machine Learning · Computer Science 2022-02-18 Chengyue Gong , Lemeng Wu , Qiang Liu

We consider the problem of max-min beamforming (MMB) for cell-free massive multi-input multi-output (MIMO) systems, where the objective is to maximize the minimum achievable rate among all users. Existing MMB methods are mainly based on…

Signal Processing · Electrical Eng. & Systems 2025-07-28 Bin Wang , Jun Fang , Yue Xiao , Martin Haardt

The selection problem, where one wishes to locate the $k^{th}$ smallest element in an unsorted array of size $n$, is one of the basic problems studied in computer science. The main focus of this work is designing algorithms for solving the…

Data Structures and Algorithms · Computer Science 2012-08-30 Tsvi Kopelowitz , Nimrod Talmon

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

Data Structures and Algorithms · Computer Science 2021-03-09 Alan Kuhnle

Resource allocation plays a central role in many networked systems such as smart grids, communication networks and urban transportation systems. In these systems, many constraints have physical meaning and having feasible allocation is…

Optimization and Control · Mathematics 2022-07-14 Xuyang Wu , Sindri Magnusson , Mikael Johansson

Recommender systems play an essential role in online services by providing personalized item lists to support users' decision-making processes. While collaborative filtering methods can achieve high accuracy, it is crucial to consider not…

Optimization and Control · Mathematics 2026-03-24 Tomoya Yanagi , Shunnosuke Ikeda , Ken Kobayashi , Yuichi Takano

Influence maximization (IM) is a classic problem that aims to identify a small group of critical individuals, known as seeds, who can influence the largest number of users in a social network through word-of-mouth. This problem finds…

Social and Information Networks · Computer Science 2024-10-23 Yiqian Huang , Shiqi Zhang , Laks V. S. Lakshmanan , Wenqing Lin , Xiaokui Xiao , Bo Tang

The use of variable selection methods is particularly appealing in statistical problems with functional data. The obvious general criterion for variable selection is to choose the `most representative' or `most relevant' variables. However,…

Methodology · Statistics 2016-08-09 José R. Berrendero , Antonio Cuevas , José L. Torrecilla

We study the problem of minimizing total completion time on parallel machines subject to varying processing capacity. In this paper, we develop an approximation scheme for the problem under the data stream model where the input data is…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

Many decision-making processes involve evaluating and then selecting items; examples include scientific peer review, job hiring, school admissions, and investment decisions. The eventual selection is performed by applying rules or…

Computer Science and Game Theory · Computer Science 2025-10-23 Alexander Goldberg , Giulia Fanti , Nihar B. Shah

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the previous work on streaming submodular maximization, we are interested only in the recent…

Data Structures and Algorithms · Computer Science 2016-11-02 Jiecao Chen , Huy L. Nguyen , Qin Zhang

In recent years, feature selection has become a challenging problem in several machine learning fields, such as classification problems. Support Vector Machine (SVM) is a well-known technique applied in classification tasks. Various…

Machine Learning · Computer Science 2021-01-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

In machine learning applications for online product offerings and marketing strategies, there are often hundreds or thousands of features available to build such models. Feature selection is one essential method in such applications for…

Machine Learning · Statistics 2019-08-16 Zhenyu Zhao , Radhika Anand , Mallory Wang

We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

Optimization and Control · Mathematics 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

In this paper, we develop the first one-pass streaming algorithm for submodular maximization that does not evaluate the entire stream even once. By carefully subsampling each element of data stream, our algorithm enjoys the tightest…

Machine Learning · Computer Science 2018-02-21 Moran Feldman , Amin Karbasi , Ehsan Kazemi

Fractional programming (FP) plays a crucial role in wireless network design because many relevant problems involve maximizing or minimizing ratio terms. Notice that the maximization case and the minimization case of FP cannot be converted…

Information Theory · Computer Science 2024-01-10 Yannan Chen , Licheng Zhao , Kaiming Shen

Stimulated by practical applications arising from viral marketing. This paper investigates a novel Budgeted $k$-Submodular Maximization problem defined as follows: Given a finite set $V$, a budget $B$ and a $k$-submodular function $f:…

Data Structures and Algorithms · Computer Science 2021-10-25 Canh V. Pham , Quang C. Vu , Dung K. T. Ha , Tai T. Nguyen

Invariant risk minimization (IRM) aims to enable out-of-distribution (OOD) generalization in deep learning by learning invariant representations. As IRM poses an inherently challenging bi-level optimization problem, most existing approaches…

Machine Learning · Computer Science 2025-05-26 Kotaro Yoshida , Konstantinos Slavakis

Client selection strategies are widely adopted to handle the communication-efficient problem in recent studies of Federated Learning (FL). However, due to the large variance of the selected subset's update, prior selection approaches with a…

Machine Learning · Computer Science 2022-04-28 Guangyuan Shen , Dehong Gao , Libin Yang , Fang Zhou , Duanxiao Song , Wei Lou , Shirui Pan

Chance-constrained problems involve stochastic components in the constraints which can be violated with a small probability. We investigate the impact of different types of chance constraints on the performance of iterative search…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Saba Sadeghi Ahouei , Jacob de Nobel , Aneta Neumann , Thomas Bäck , Frank Neumann