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With the recent popularity of graphical clustering methods, there has been an increased focus on the information between samples. We show how learning cluster structure using edge features naturally and simultaneously determines the most…

Machine Learning · Statistics 2016-05-09 Matt Barnes , Artur Dubrawski

In this paper, we propose an efficient clustering technique to solve the problem of clustering in the presence of obstacles. The proposed algorithm divides the spatial area into rectangular cells. Each cell is associated with statistical…

Databases · Computer Science 2009-09-25 Mohamed E. El-Sharkawi , Mohamed A. El-Zawawy

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Multisource data has spurred the development of advanced clustering algorithms, such as multi-view clustering, which critically relies on constructing similarity matrices. Traditional algorithms typically generate these matrices from sample…

Machine Learning · Computer Science 2024-10-30 Xuetong Li , Xiao-Dong Zhang

We consider the problem of clustering graph nodes over large-scale dynamic graphs, such as citation networks, images and web networks, when graph updates such as node/edge insertions/deletions are observed distributively. We propose…

Data Structures and Algorithms · Computer Science 2018-11-16 Chun Jiang Zhu , Tan Zhu , Kam-Yiu Lam , Song Han , Jinbo Bi

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

We present AMICO (Adaptive Matched Identifier of Clustered Objects), a new algorithm for the detection of galaxy clusters in photometric surveys. AMICO is based on the Optimal Filtering technique, which allows to maximise the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-13 Fabio Bellagamba , Mauro Roncarelli , Matteo Maturi , Lauro Moscardini

Clustering may be the most fundamental problem in unsupervised learning which is still active in machine learning research because its importance in many applications. Popular methods like K-means, may suffer from instability as they are…

Optimization and Control · Mathematics 2018-02-21 Yancheng Yuan , Defeng Sun , Kim-Chuan Toh

Analysis of higher-order organizations, usually small connected subgraphs called motifs, is a fundamental task on complex networks. This paper studies a new problem of testing higher-order clusterability: given query access to an undirected…

Data Structures and Algorithms · Computer Science 2023-10-09 Yifei Li , Donghua Yang , Jianzhong Li

It is common knowledge that there is no single best strategy for graph clustering, which justifies a plethora of existing approaches. In this paper, we present a general memetic algorithm, VieClus, to tackle the graph clustering problem.…

Neural and Evolutionary Computing · Computer Science 2018-02-21 Sonja Biedermann , Monika Henzinger , Christian Schulz , Bernhard Schuster

Most existing graph clustering methods primarily focus on exploiting topological structure, often neglecting the ``missing-half" node feature information, especially how these features can enhance clustering performance. This issue is…

Machine Learning · Computer Science 2025-01-10 Xuanting Xie , Bingheng Li , Erlin Pan , Zhaochen Guo , Zhao Kang , Wenyu Chen

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

Machine Learning · Statistics 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

Image segmentation as a clustering problem is to identify pixel groups on an image without any preliminary labels available. It remains a challenge in machine vision because of the variations in size and shape of image segments.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Xin Zhong , Frank Y. Shih , Xiwang Guo

Community structure is one of the main structural features of networks, revealing both their internal organization and the similarity of their elementary units. Despite the large variety of methods proposed to detect communities in graphs,…

Physics and Society · Physics 2011-05-05 Andrea Lancichinetti , Filippo Radicchi , Jose' Javier Ramasco , Santo Fortunato

We study graph clustering in the Stochastic Block Model (SBM) in the presence of both large clusters and small, unrecoverable clusters. Previous convex relaxation approaches achieving exact recovery do not allow any small clusters of size…

Machine Learning · Computer Science 2025-02-25 Matthew Zurek , Yudong Chen

We investigate the estimation of multivariate extreme models with a discrete spectral measure using spherical clustering techniques. The primary contribution involves devising a method for selecting the order, that is, the number of…

Methodology · Statistics 2025-02-20 Shiyuan Deng , He Tang , Shuyang Bai

We study the statistical and computational properties of a network Lasso method for local graph clustering. The clusters delivered by nLasso can be characterized elegantly via network flows between cluster boundary and seed nodes. While…

Machine Learning · Computer Science 2021-02-24 Alexander Jung , Yasmin SarcheshmehPour

We propose two related unsupervised clustering algorithms which, for input, take data assumed to be sampled from a uniform distribution supported on a metric space $X$, and output a clustering of the data based on the selection of a…

Machine Learning · Computer Science 2022-09-28 Antonio Rieser

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