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Communities are fundamental entities for the characterization of the structure of real networks. The standard approach to the identification of communities in networks is based on the optimization of a quality function known as…

Physics and Society · Physics 2013-07-15 Filippo Radicchi

In the standard stochastic block model for networks, the probability of a connection between two nodes, often referred to as the edge probability, depends on the unobserved communities each of these nodes belongs to. We consider a flexible…

Econometrics · Economics 2024-02-27 Yuichi Kitamura , Louise Laage

The hypergraph community detection problem seeks to identify groups of related nodes in hypergraph data. We propose an information-theoretic hypergraph community detection algorithm which compresses the observed data in terms of community…

We propose a novel method to find the community structure in complex networks based on an extremal optimization of the value of modularity. The method outperforms the optimal modularity found by the existing algorithms in the literature. We…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. Duch , A. Arenas

Community detection is a widely-studied unsupervised learning problem in which the task is to group similar entities together based on observed pairwise entity interactions. This problem has applications in diverse domains such as social…

Social and Information Networks · Computer Science 2020-04-21 Jimit Majmudar , Stephen Vavasis

We have found that known community identification algorithms produce inconsistent communities when the node ordering changes at input. We propose two metrics to quantify the level of consistency across multiple runs of an algorithm:…

Physics and Society · Physics 2009-10-10 Haewoon Kwak , Young-Ho Eom , Yoonchan Choi , Hawoong Jeong , Sue Moon

Credal partitions in the framework of belief functions can give us a better understanding of the analyzed data set. In order to find credal community structure in graph data sets, in this paper, we propose a novel evidential community…

Social and Information Networks · Computer Science 2018-10-01 Kuang Zhou , Quan Pan , Arnaud Martin

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

Heterogeneity characterises real-world networks, where nodes show a broad range of different topological features. However, nodes also tend to organise into communities -- subsets of nodes that are sparsely inter-connected but are densely…

Physics and Society · Physics 2022-01-21 Juan Gancio , Nicolás Rubido

Estimating a covariance matrix is central to high-dimensional data analysis. Empirical analyses of high-dimensional biomedical data, including genomics, proteomics, microbiome, and neuroimaging, among others, consistently reveal strong…

Methodology · Statistics 2024-12-05 Yifan Yang , Chixiang Chen , Shuo Chen

Anomaly detection algorithms are a valuable tool in network science for identifying unusual patterns in a network. These algorithms have numerous practical applications, including detecting fraud, identifying network security threats, and…

Social and Information Networks · Computer Science 2023-09-22 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Discovering overlapping community structures is a crucial step to understanding the structure and dynamics of many networks. In this paper we develop a symmetric binary matrix factorization model (SBMF) to identify overlapping communities.…

Social and Information Networks · Computer Science 2015-06-15 Zhong-Yuan Zhang , Yong Wang , Yong-Yeol Ahn

We introduce a novel method for identifying the modular structures of a network based on the maximization of an objective function: the ratio association. This cost function arises when the communities detection problem is described in the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Leonardo Angelini , Stefano Boccaletti , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Community detection algorithms are fundamental tools that allow us to uncover organizational principles in networks. When detecting communities, there are two possible sources of information one can use: the network structure, and the…

Social and Information Networks · Computer Science 2016-11-15 Jaewon Yang , Julian McAuley , Jure Leskovec

The problem of community detection is relevant in many disciplines of science and modularity optimization is the widely accepted method for this purpose. It has recently been shown that this approach presents a resolution limit by which it…

Physics and Society · Physics 2015-05-13 A. D. Medus , C. O. Dorso

To unravel the driving patterns of networks, the most popular models rely on community detection algorithms. However, these approaches are generally unable to reproduce the structural features of the network. Therefore, attempts are always…

Social and Information Networks · Computer Science 2022-09-07 Martina Contisciani , Hadiseh Safdari , Caterina De Bacco

Social relationships can be divided into different classes based on the regularity with which they occur and the similarity among them. Thus, rare and somewhat similar relationships are random and cause noise in a social network, thus…

Social and Information Networks · Computer Science 2018-10-08 Jeancarlo Campos Leão , Michele Amaral Brandão , Pedro O. S. Vaz de Melo , Alberto H. F. Laender

Most of the current complex networks that are of interest to practitioners possess a certain community structure that plays an important role in understanding the properties of these networks. Moreover, many machine learning algorithms and…

Social and Information Networks · Computer Science 2021-02-17 Bogumił Kamiński , Paweł Prałat , François Théberge

Network regression models, where the outcome comprises the valued edge in a network and the predictors are actor or dyad-level covariates, are used extensively in the social and biological sciences. Valid inference relies on accurately…

Methodology · Statistics 2021-06-09 Mengjie Pan , Tyler H. McCormick , Bailey K. Fosdick

Community detection is of great importance for understand-ing graph structure in social networks. The communities in real-world networks are often overlapped, i.e. some nodes may be a member of multiple clusters. How to uncover the…

Social and Information Networks · Computer Science 2015-01-09 Kuang Zhou , Arnaud Martin , Quan Pan