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We consider the problem of community detection in overlapping weighted networks, where nodes can belong to multiple communities and edge weights can be finite real numbers. To model such complex networks, we propose a general framework -…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing , Jingli Wang

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

Community detection is a significant and challenging task in network research. Nowadays, plenty of attention has been focused on local methods of community detection. Among them, community detection with a greedy algorithm typically starts…

Social and Information Networks · Computer Science 2020-03-31 Junfang Zhu , Xuezao Ren , Peijie Ma , Kun Gao

Community detection has become an extremely active area of research in recent years, with researchers proposing various new metrics and algorithms to address the problem. Recently, the Weighted Community Clustering (WCC) metric was proposed…

Social and Information Networks · Computer Science 2014-11-04 Matthew Saltz , Arnau Prat-Pèrez , David Dominguez-Sal

We investigate the possibility of global optimization-based overlapping community detection, using link community framework. We first show that partition density, the original quality function used in link community detection method, is not…

Physics and Society · Physics 2017-10-11 Juyong Lee , Zhong-Yuan Zhang , Jooyoung Lee , Bernard R. Brooks , Yong-Yeol Ahn

Community detection refers to the problem of clustering the nodes of a network into groups. Existing inferential methods for community structure mainly focus on unweighted (binary) networks. Many real-world networks are nonetheless weighted…

Statistics Theory · Mathematics 2022-04-21 Mingao Yuan , Zuofeng Shang

In this paper we propose weighted symmetric binary matrix factorization (wSBMF) framework to detect overlapping communities in bipartite networks, which describe relationships between two types of nodes. Our method improves performance by…

Social and Information Networks · Computer Science 2015-02-17 Zhong-Yuan Zhang , Yong-Yeol Ahn

In this work we address the problem of detecting overlapping communities in social networks. Because the word "community" is an ambiguous term, it is necessary to quantify what it means to be a community within the context of a particular…

Social and Information Networks · Computer Science 2015-01-23 Michael Brutz , Francois G. Meyer

It has been shown that the communities of complex networks often overlap with each other. However, there is no effective method to quantify the overlapping community structure. In this paper, we propose a metric to address this problem.…

Physics and Society · Physics 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Multilayer networks capture pairwise relationships between the components of complex systems across multiple modes or scales of interactions. An important meso-scale feature of these networks is measured though their community structure,…

Physics and Society · Physics 2018-03-12 Michael Vaiana , Sarah Muldoon

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

Machine Learning · Statistics 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Community structure is an important property of complex networks. An automatic discovery of such structure is a fundamental task in many disciplines, including sociology, biology, engineering, and computer science. Recently, several…

Physics and Society · Physics 2008-04-11 Jianhua Ruan , Weixiong Zhang

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Community detection is a ubiquitous problem in applied network analysis, yet efficient techniques do not yet exist for all types of network data. Most techniques have been developed for undirected graphs, and very few exist that handle…

Physics and Society · Physics 2023-04-26 Botond Molnár , Ildikó-Beáta Márton , Szabolcs Horvát , Mária Ercsey-Ravasz

In this paper we apply theoretical and practical results from facility location theory to the problem of community detection in networks. The result is an algorithm that computes bounds on a minimization variant of local modularity. We also…

Many edge prediction methods have been proposed, based on various local or global properties of the structure of an incomplete network. Community structure is another significant feature of networks: Vertices in a community are more densely…

Information Retrieval · Computer Science 2012-05-16 Bowen Yan , Steve Gregory

Nodes in real-world networks are repeatedly observed to form dense clusters, often referred to as communities. Methods to detect these groups of nodes usually maximize an objective function, which implicitly contains the definition of a…

Physics and Society · Physics 2015-09-10 V. A. Traag , R. Aldecoa , J-C. Delvenne

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

We consider two new problems regarding the impact of edge addition or removal on the modularity of partitions (or community structures) in a network. The first problem seeks to add edges to enforce that a desired partition is the partition…

Social and Information Networks · Computer Science 2022-05-23 Daniel Kosmas , John E. Mitchell , Thomas C. Sharkey , Boleslaw K. Szymanski

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

Social and Information Networks · Computer Science 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville