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Correlation Clustering is a powerful graph partitioning model that aims to cluster items based on the notion of similarity between items. An instance of the Correlation Clustering problem consists of a graph $G$ (not necessarily complete)…

Data Structures and Algorithms · Computer Science 2019-06-25 Sanchit Kalhan , Konstantin Makarychev , Timothy Zhou

Correlation Clustering is an elegant model that captures fundamental graph cut problems such as Min $s-t$ Cut, Multiway Cut, and Multicut, extensively studied in combinatorial optimization. Here, we are given a graph with edges labeled $+$…

Data Structures and Algorithms · Computer Science 2017-04-04 Moses Charikar , Neha Gupta , Roy Schwartz

Hypergraphs are generalizations of simple graphs that allow for the representation of complex group interactions beyond pairwise relationships. Clustering coefficients quantify local link density in networks and have been widely studied for…

Discrete Mathematics · Computer Science 2025-07-08 Rikuya Miyashita , Shiori Hironaka , Kazuyuki Shudo

Hypergraphs allow modeling problems with multi-way high-order relationships. However, the computational cost of most existing hypergraph-based algorithms can be heavily dependent upon the input hypergraph sizes. To address the…

Machine Learning · Computer Science 2021-12-22 Ali Aghdaei , Zhiqiang Zhao , Zhuo Feng

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

We study the hierarchy of communities in real-world networks under a generic stochastic block model, in which the connection probabilities are structured in a binary tree. Under such model, a standard recursive bi-partitioning algorithm is…

Statistics Theory · Mathematics 2021-11-19 Lihua Lei , Xiaodong Li , Xingmei Lou

Relationships between entities in datasets are often of multiple nature, like geographical distance, social relationships, or common interests among people in a social network, for example. This information can naturally be modeled by a set…

Machine Learning · Computer Science 2015-08-31 Xiaowen Dong , Pascal Frossard , Pierre Vandergheynst , Nikolai Nefedov

This paper addresses the ambitious goal of merging two different approaches to group detection in complex domains: one based on fuzzy clustering and the other on community detection theory. To achieve this, two clustering algorithms are…

This study concentrates on clustering problems and aims to find compact clusters that are informative regarding the outcome variable. The main goal is partitioning data points so that observations in each cluster are similar and the outcome…

Neural and Evolutionary Computing · Computer Science 2022-01-27 Zahra Ghasemi , Hadi Akbarzadeh Khorshidi , Uwe Aickelin

We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is…

Adaptation and Self-Organizing Systems · Physics 2012-06-18 A. Ajdari Rad , I. Sendiña-Nadal , D. Papo , M. Zanin , J. M. Buldú , F. del Pozo , S. Boccaletti

This paper introduces the notion of co-modularity, to co-cluster observations of bipartite networks into co-communities. The task of co-clustering is to group together nodes of one type with nodes of another type, according to the…

Methodology · Statistics 2021-11-09 Thomas E. Bartlett

Clustering heterogeneous relational data remains a central challenge in graph learning, particularly when interactions involve more than two types of entities. While differentiable modularity objectives such as DMoN have enabled end-to-end…

Machine Learning · Computer Science 2026-02-11 Benoît Hurpeau

Seeding then expanding is a commonly used scheme to discover overlapping communities in a network. Most seeding methods are either too complex to scale to large networks or too simple to select high-quality seeds, and the non-principled…

Social and Information Networks · Computer Science 2015-02-27 Changxing Shang , Shengzhong Feng , Zhongying Zhao , Jianping Fan

Graph clustering, which aims to divide a graph into several homogeneous groups, is a critical area of study with applications that span various fields such as social network analysis, bioinformatics, and image segmentation. This paper…

Machine Learning · Statistics 2024-07-15 Timothé Watteau , Aubin Bonnefoy , Simon Illouz-Laurent , Joaquim Jusseau , Serge Iovleff

Community detection in graphs is a problem that is likely to be relevant whenever network data appears, and consequently the problem has received much attention with many different methods and algorithms applied. However, many of these…

Combinatorics · Mathematics 2025-05-16 Vilhelm Agdur

Graph clustering, a classical task in graph learning, involves partitioning the nodes of a graph into distinct clusters. This task has applications in various real-world scenarios, such as anomaly detection, social network analysis, and…

Machine Learning · Computer Science 2024-08-09 Xiaoyang Ji , Yuchen Zhou , Haofu Yang , Shiyue Xu , Jiahao Li

How can we find a good graph clustering of a real-world network, that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new graph clustering algorithm Dcut from a density point of view.…

Social and Information Networks · Computer Science 2016-06-06 Junming Shao , Qinli Yang , Jinhu Liu , Stefan Kramer

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

We propose a novel end-to-end trainable framework for the graph decomposition problem. The minimum cost multicut problem is first converted to an unconstrained binary cubic formulation where cycle consistency constraints are incorporated…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Jie Song , Bjoern Andres , Michael Black , Otmar Hilliges , Siyu Tang

Complex systems are usually illustrated by networks which captures the topology of the interactions between the entities. To better understand the roles played by the entities in the system one needs to uncover the underlying community…

Social and Information Networks · Computer Science 2016-05-23 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu
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