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Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

Social and Information Networks · Computer Science 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

In clustering we normally output one cluster variable for each datapoint. However it is not necessarily the case that there is only one way to partition a given dataset into cluster components. For example, one could cluster objects by…

Machine Learning · Computer Science 2019-12-05 Matthew Willetts , Stephen Roberts , Chris Holmes

The Data Clustering (DC) problem is of central importance for the area of Machine Learning (ML), given its usefulness to represent data structural similarities from input spaces. Differently from Supervised Machine Learning (SML), which…

Machine Learning · Computer Science 2019-11-15 Yule Vaz , Rodrigo Fernandes de Mello , Carlos Henrique Grossi

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

Detection of interesting (e.g., coherent or anomalous) clusters has been studied extensively on plain or univariate networks, with various applications. Recently, algorithms have been extended to networks with multiple attributes for each…

Machine Learning · Computer Science 2018-09-21 Feng Chen , Baojian Zhou , Adil Alim , Liang Zhao

Anti-Money Laundering (AML) is a crucial task in ensuring the integrity of financial systems. One keychallenge in AML is identifying high-risk groups based on their behavior. Unsupervised learning, particularly clustering, is a promising…

Statistical Finance · Quantitative Finance 2024-03-05 Ahmed N. Bakry , Almohammady S. Alsharkawy , Mohamed S. Farag , Kamal R. Raslan

We use machine learning methods on local structure to identify flow defects - or regions susceptible to rearrangement - in jammed and glassy systems. We apply this method successfully to two disparate systems: a two dimensional experimental…

Heterogeneity has been a hot topic in recent educational literature. Several calls have been voiced to adopt methods that capture different patterns or subgroups within students behavior or functioning. Assuming that there is an average…

Methodology · Statistics 2023-06-13 Luca Scrucca , Mohammed Saqr , Sonsoles López-Pernas , Keefe Murphy

A few years ago it was showed that some systems that have very similar local structure, as quantified by the pair correlation function, exhibit vastly different slowing down upon supercooling [L. Berthier and G. Tarjus, Phys. Rev. Lett.…

Soft Condensed Matter · Physics 2015-06-17 Elijah Flenner , Hannah Staley , Grzegorz Szamel

Principal Component Analysis (PCA) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. In this paper, we present an algorithm for computing the top…

Machine Learning · Computer Science 2013-10-25 Nikos Karampatziakis , Paul Mineiro

Extracting an understanding of the underlying system from high dimensional data is a growing problem in science. Discovering informative and meaningful features is crucial for clustering, classification, and low dimensional data embedding.…

Machine Learning · Statistics 2019-12-10 Samuel Melton , Sharad Ramanathan

Grouping observations into homogeneous groups is a recurrent task in statistical data analysis. We consider Gaussian Mixture Models, which are the most famous parametric model-based clustering method. We propose a new robust approach for…

Methodology · Statistics 2022-11-16 Antoine Godichon-Baggioni , Stéphane Robin

Domain generalization(DG) endeavors to develop robust models that possess strong generalizability while preserving excellent discriminability. Nonetheless, pivotal DG techniques tend to improve the feature generalizability by learning…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Shaocong Long , Qianyu Zhou , Chenhao Ying , Lizhuang Ma , Yuan Luo

We study the possibility of producing and detecting continuous variable cluster states in an optical set-up in an extremely compact fashion. This method is based on a multi-pixel homodyne detection system recently demonstrated…

Quantum Physics · Physics 2015-06-15 Giulia Ferrini , Jean-Pierre Gazeau , Thomas Coudreau , Claude Fabre , Nicolas Treps

For numerous reasons there raises a need for dimension reduction that preserves certain characteristics of data. In this work we focus on data coming from a mixture of Gaussian distributions and we propose a method that preserves…

Statistics Theory · Mathematics 2014-07-30 Ewa Nowakowska , Jacek Koronacki , Stan Lipovetsky

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

Statistics Theory · Mathematics 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

We present a novel approach for finding and evaluating structural models of small metallic nanoparticles. Rather than fitting a single model with many degrees of freedom, the approach algorithmically builds libraries of nanoparticle…

Biological systems often exhibit a heterogeneous arrangement of objects, such as assorted nuclear chromatin patterns in a tumor, assorted species of bacteria in biofilms, or assorted aggregates of subcellular particles. Principle Component…

Quantitative Methods · Quantitative Biology 2017-08-29 David H Nguyen

We propose a novel clustering approach for point-cloud segmentation based on supervised contrastive metric learning (CML). Rather than predicting cluster assignments or object-centric variables, the method learns a latent representation in…

High Energy Physics - Experiment · Physics 2026-03-25 Max Marriott-Clarke , Lazar Novakovic , Elizabeth Ratzer , Robert J. Bainbridge , Loukas Gouskos , Benedikt Maier
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