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In this paper, we address an issue of finding explainable clusters of class-uniform data in labelled datasets. The issue falls into the domain of interpretable supervised clustering. Unlike traditional clustering, supervised clustering aims…

Machine Learning · Computer Science 2023-07-18 Natallia Kokash , Leonid Makhnist

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

Information Theory · Computer Science 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Cosmological N-body simulations represent an excellent tool to study the formation and evolution of dark matter (DM) halos and the mechanisms that have originated the universal profile at the largest mass scales in the Universe. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-12 I. Marini , A. Saro , S. Borgani , G. Murante , E. Rasia , K. Dolag , W. Lin , N. R. Napolitano , A. Ragagnin , L. Tornatore , Y. Wang

Clustering algorithms partition a dataset into groups of similar points. The primary contribution of this article is the Multiscale Spatially-Regularized Diffusion Learning (M-SRDL) clustering algorithm, which uses spatially-regularized…

Machine Learning · Computer Science 2022-04-08 Sam L. Polk , James M. Murphy

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Data clustering, the task of grouping observations according to their similarity, is a key component of unsupervised learning -- with real world applications in diverse fields such as biology, medicine, and social science. Often in these…

Machine Learning · Computer Science 2023-09-20 Anne Sophie Riis Damstrup , Sofie Tosti Madsen , Michele Coscia

Scatterplots are used for a variety of visual analytics tasks, including cluster identification, and the visual encodings used on a scatterplot play a deciding role on the level of visual separation of clusters. For visualization designers,…

Human-Computer Interaction · Computer Science 2020-09-22 Ghulam Jilani Quadri , Paul Rosen

Unsupervised learning has gained prominence in the big data era, offering a means to extract valuable insights from unlabeled datasets. Deep clustering has emerged as an important unsupervised category, aiming to exploit the non-linear…

Machine Learning · Computer Science 2024-02-02 Georgios Vardakas , Ioannis Papakostas , Aristidis Likas

The problem of finding groups in data (cluster analysis) has been extensively studied by researchers from the fields of Statistics and Computer Science, among others. However, despite its popularity it is widely recognized that the…

Statistics Theory · Mathematics 2013-10-10 José E. Chacón

We investigate properties of the correlation function of clusters of galaxies using geometrical models. On small scales the correlation function depends on the shape and the size of superclusters. On large scales it describes the geometry…

Astrophysics · Physics 2015-06-24 J. Einasto , M. Einasto , P. Frisch , S. Gottlöber , V. Müller , V. Saar , A. A. Starobinsky , D. Tucker

Superclusters are the largest relatively isolated systems in the cosmic web. Using the SDSS BOSS survey we search for the largest superclusters in the redshift range $0.43<z<0.71$. We generate a luminosity-density field smoothed over $8…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-16 H. Lietzen , E. Tempel , L. J. Liivamägi , A. Montero-Dorta , M. Einasto , A. Streblyanska , C. Maraston , J. A. Rubiño-Martín , E. Saar

Time series, as one of the most fundamental representations of sequential data, has been extensively studied across diverse disciplines, including computer science, biology, geology, astronomy, and environmental sciences. The advent of…

Machine Learning · Computer Science 2024-12-31 John Paparrizos , Fan Yang , Haojun Li

Deep learning has been successfully applied to many classification problems including underwater challenges. However, a long-standing issue with deep learning is the need for large and consistently labeled datasets. Although current…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 Lars Schmarje , Johannes Brünger , Monty Santarossa , Simon-Martin Schröder , Rainer Kiko , Reinhard Koch

Deep learning provides a versatile suite of methods for extracting structured information from complex datasets, enabling deeper understanding of underlying fluid dynamic phenomena. The field of turbulence modeling, in particular, benefits…

Machine Learning · Computer Science 2025-07-31 Anuraj Maurya

Clusters of galaxies are merging during the formation of large-scale structures in the Universe. Based on optical survey data, we identify a large sample of pre-mergers of galaxy clusters and merging subclusters in rich clusters. We find…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Z. L. Wen , J. L. Han , Z. S. Yuan

We investigate whether the dynamical status of clusters is related to the large-scale structure of the Universe. We find that cluster substructure is strongly correlated with the tendency of clusters to be aligned with their nearest…

Astrophysics · Physics 2007-05-23 M. Plionis , S. Basilakos

Cosmic voids provide a powerful probe of the origin and evolution of structures in the Universe because their dynamics can remain near-linear to the present day. As a result they have the potential to connect large scale structure at late…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-26 Stephen Stopyra , Hiranya V. Peiris , Andrew Pontzen

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

Deep Learning has demonstrated a significant improvement against traditional machine learning approaches in different domains such as image and speech recognition. Their success on benchmark datasets is transferred to the real-world through…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Ahmad Mustapha , Wael Khreich , Wasim Masr

Complex spatial and temporal structures are inherent characteristics of turbulent fluid flows and comprehending them poses a major challenge. This comprehesion necessitates an understanding of the space of turbulent fluid flow…

Fluid Dynamics · Physics 2024-07-16 Tim Whittaker , Romuald A. Janik , Yaron Oz