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Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Machine Learning · Computer Science 2025-11-13 Andrew Draganov , Pascal Weber , Rasmus Skibdahl Melanchton Jørgensen , Anna Beer , Claudia Plant , Ira Assent

Multilayer graphs are appealing mathematical tools for modeling multiple types of relationship in the data. In this paper, we aim at analyzing multilayer graphs by properly combining the information provided by individual layers, while…

Machine Learning · Computer Science 2020-10-30 Mireille El Gheche , Pascal Frossard

Is all of machine learning supervised to some degree? The field of machine learning has traditionally been categorized pedagogically into $supervised~vs~unsupervised~learning$; where supervised learning has typically referred to learning…

Machine Learning · Computer Science 2019-04-09 Stephen G. Odaibo

Fast accumulation of large amounts of complex data has created a need for more sophisticated statistical methodologies to discover interesting patterns and better extract information from these data. The large scale of the data often…

Methodology · Statistics 2014-09-09 Yuliya Marchetti , Qing Zhou

The domain of cluster analysis is a meeting point for a very rich multidisciplinary encounter, with cluster-analytic methods being studied and developed in discrete mathematics, numerical analysis, statistics, data analysis, data science,…

Other Statistics · Statistics 2024-09-26 Iven Van Mechelen , Christian Hennig , Henk A. L. Kiers

We investigate a general formulation for clustering and transductive few-shot learning, which integrates prototype-based objectives, Laplacian regularization and supervision constraints from a few labeled data points. We propose a…

Machine Learning · Computer Science 2021-06-18 Imtiaz Masud Ziko , Malik Boudiaf , Jose Dolz , Eric Granger , Ismail Ben Ayed

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Multi-view clustering methods have been a focus in recent years because of their superiority in clustering performance. However, typical traditional multi-view clustering algorithms still have shortcomings in some aspects, such as removal…

Machine Learning · Computer Science 2020-08-25 Junpeng Tan , Yukai Shi , Zhijing Yang , Caizhen Wen , Liang Lin

AutoClustering methods aim to automate unsupervised learning tasks, including algorithm selection (AS), hyperparameter optimization (HPO), and pipeline synthesis (PS), by often leveraging meta-learning over dataset meta-features. While…

Machine Learning · Computer Science 2026-02-23 Matheus Camilo da Silva , Leonardo Arrighi , Ana Carolina Lorena , Sylvio Barbon Junior

Deep clustering against self-supervised learning is a very important and promising direction for unsupervised visual representation learning since it requires little domain knowledge to design pretext tasks. However, the key component,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Weijie Chen , Shiliang Pu , Di Xie , Shicai Yang , Yilu Guo , Luojun Lin

Multi-view clustering has become a significant area of research, with numerous methods proposed over the past decades to enhance clustering accuracy. However, in many real-world applications, it is crucial to demonstrate a clear…

Machine Learning · Computer Science 2025-02-07 Mudi Jiang , Lianyu Hu , Zengyou He , Zhikui Chen

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

Machine Learning · Statistics 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

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

There is a growing interest in characterizing circular data found in biological systems. Such data are wide ranging and varied, from signal phase in neural recordings to nucleotide sequences in round genomes. Traditional clustering…

Machine Learning · Computer Science 2023-09-19 Xiaoxiao Sun , Paul Sajda

Unsupervised models can provide supplementary soft constraints to help classify new target data under the assumption that similar objects in the target set are more likely to share the same class label. Such models can also help detect…

Machine Learning · Computer Science 2015-03-13 Ayan Acharya , Eduardo R. Hruschka , Joydeep Ghosh , Badrul Sarwar , Jean-David Ruvini

Semi-supervised clustering seeks to augment traditional clustering methods by incorporating side information provided via human expertise in order to increase the semantic meaningfulness of the resulting clusters. However, most current…

Machine Learning · Computer Science 2014-02-17 Caiming Xiong , David Johnson , Jason J. Corso

Due to their conceptual simplicity, k-means algorithm variants have been extensively used for unsupervised cluster analysis. However, one main shortcoming of these algorithms is that they essentially fit a mixture of identical spherical…

Machine Learning · Computer Science 2024-02-06 Raphael Araujo Sampaio , Joaquim Dias Garcia , Marcus Poggi , Thibaut Vidal

We study the high-dimensional linear regression problem with categorical predictors that have many levels. We propose a new estimation approach, which performs model compression via two mechanisms by simultaneously encouraging (a)…

Methodology · Statistics 2026-03-30 Kayhan Behdin , Riade Benbaki , Peter Radchenko , Rahul Mazumder

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Deep clustering has the potential to learn a strong representation and hence better clustering performance compared to traditional clustering methods such as $k$-means and spectral clustering. However, this strong representation learning…

Machine Learning · Computer Science 2021-06-01 Hongjing Zhang , Ian Davidson