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We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

One key use of k-means clustering is to identify cluster prototypes which can serve as representative points for a dataset. However, a drawback of using k-means cluster centers as representative points is that such points distort the…

Machine Learning · Statistics 2019-11-15 Arvind Krishna , Simon Mak , Roshan Joseph

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

Machine Learning · Computer Science 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

Self-supervised learning (SSL) is recognized as an essential tool for building foundation models for Artificial Intelligence applications. The advances in SSL have been made thanks to vigorous arguments about the principles of SSL and…

Machine Learning · Computer Science 2026-05-13 Josef Kittler , Sara Atito , Muhammad Awais

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

Information Retrieval · Computer Science 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

Subset selection is an important component in evolutionary multiobjective optimization (EMO) algorithms. Clustering, as a classic method to group similar data points together, has been used for subset selection in some fields. However,…

Neural and Evolutionary Computing · Computer Science 2021-08-31 Weiyu Chen , Hisao Ishibuchi , Ke Shang

We study the differentially private top-$k$ selection problem, aiming to identify a sequence of $k$ items with approximately the highest scores from $d$ items. Recent work by Gillenwater et al. (ICML '22) employs a direct sampling approach…

Cryptography and Security · Computer Science 2026-01-09 Hao WU , Hanwen Zhang

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

Deep neural networks (DNNs) offer a means of addressing the challenging task of clustering high-dimensional data. DNNs can extract useful features, and so produce a lower dimensional representation, which is more amenable to clustering…

Machine Learning · Computer Science 2021-07-23 Louis Mahon , Thomas Lukasiewicz

K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

Machine Learning · Computer Science 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

The $k$-center problem is a classical combinatorial optimization problem which asks to find $k$ centers such that the maximum distance of any input point in a set $P$ to its assigned center is minimized. The problem allows for elegant…

Computational Complexity · Computer Science 2018-02-19 Clemens Rösner , Melanie Schmidt

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Clustering is an important topic in algorithms, and has a number of applications in machine learning, computer vision, statistics, and several other research disciplines. Traditional objectives of graph clustering are to find clusters with…

Machine Learning · Computer Science 2020-11-11 Steinar Laenen , He Sun

The privacy concern in federated clustering has attracted considerable attention in past decades. Many privacy-preserving clustering algorithms leverage cryptographic techniques like homomorphic encryption or secure multiparty computation,…

Cryptography and Security · Computer Science 2023-12-14 Qiongxiu Li , Lixia Luo

With the advent of machine learning in applications of critical infrastructure such as healthcare and energy, privacy is a growing concern in the minds of stakeholders. It is pivotal to ensure that neither the model nor the data can be used…

Machine Learning · Computer Science 2021-12-01 Dominique Mercier , Adriano Lucieri , Mohsin Munir , Andreas Dengel , Sheraz Ahmed

Clustering is a key task in machine learning, with $k$-means being widely used for its simplicity and effectiveness. While 1D clustering is common, existing methods often fail to exploit the structure of 1D data, leading to inefficiencies.…

Data Structures and Algorithms · Computer Science 2024-12-25 Jake Hyun

Deep learning models have become widely adopted in various domains, but their performance heavily relies on a vast amount of data. Datasets often contain a large number of irrelevant or redundant samples, which can lead to computational…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-22 Boris Bergsma , Marta Brzezinska , Oleg V. Yazyev , Milos Cernak

We introduce and study the $k$-center clustering problem with set outliers, a natural and practical generalization of the classical $k$-center clustering with outliers. Instead of removing individual data points, our model allows discarding…

Data Structures and Algorithms · Computer Science 2025-12-23 Vaishali Surianarayanan , Neeraj Kumar , Stavros Sintos