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One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

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

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

Social and Information Networks · Computer Science 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

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

Community detection and link prediction are both of great significance in network analysis, which provide very valuable insights into topological structures of the network from different perspectives. In this paper, we propose a novel…

Social and Information Networks · Computer Science 2017-07-11 Hui-Min Cheng , Yi-Zi Ning , Zhao Yin , Chao Yan , Xin Liu , Zhong-Yuan Zhang

Real-world networks have a complex topology comprising many elements often structured into communities. Revealing these communities helps researchers uncover the organizational and functional structure of the system that the network…

Community structure is one of the key properties of real-world complex networks. It plays a crucial role in their behaviors and topology. While an important work has been done on the issue of community detection, very little attention has…

Social and Information Networks · Computer Science 2015-04-02 Malek Jebabli , Hocine Cherifi , Chantal Cherifi , Atef Hamouda

We survey the application of a relatively new branch of statistical physics--"community detection"-- to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the…

Materials Science · Physics 2017-11-22 Z. Nussinov , P. Ronhovde , Dandan Hu , S. Chakrabarty , M. Sahu , Bo Sun , N. A. Mauro , K. K. Sahu

We formulate a spectral graph-partitioning algorithm that uses the two leading eigenvectors of the matrix corresponding to a selected quality function to split a network into three communities in a single step. In so doing, we extend the…

Data Analysis, Statistics and Probability · Physics 2009-09-24 Thomas Richardson , Peter J. Mucha , Mason A. Porter

We propose a streamlined spectral algorithm for community detection in the two-community stochastic block model (SBM) under constant edge density assumptions. By reducing algorithmic complexity through the elimination of non-essential…

Social and Information Networks · Computer Science 2026-02-20 Sie Hendrata Dharmawan , Peter Chin

We consider an alternate definition of community structure that is functionally motivated. We define network community structure-based on the function the network system is intended to perform. In particular, as a specific example of this…

Physics and Society · Physics 2015-03-13 Sanjeev Chauhan , Michelle Girvan , Edward Ott

We present a novel method for detecting communities in bipartite networks. Based on an extension of the $k$-clique community detection algorithm, we demonstrate how modular structure in bipartite networks presents itself as overlapping…

Data Analysis, Statistics and Probability · Physics 2008-07-22 Sune Lehmann , Martin Schwartz , Lars Kai Hansen

For data represented by networks, the community structure of the underlying graph is of great interest. A classical clustering problem is to uncover the overall ``best'' partition of nodes in communities. Here, a more elaborate description…

Physics and Society · Physics 2013-11-11 Nicolas Tremblay , Pierre Borgnat

Detecting and analyzing dense groups or communities from social and information networks has attracted immense attention over last one decade due to its enormous applicability in different domains. Community detection is an ill-defined…

Social and Information Networks · Computer Science 2016-04-13 Tanmoy Chakraborty , Ayushi Dalmia , Animesh Mukherjee , Niloy Ganguly

Most of the time, the first step to learn word embeddings is to build a word co-occurrence matrix. As such matrices are equivalent to graphs, complex networks theory can naturally be used to deal with such data. In this paper, we consider…

Computation and Language · Computer Science 2019-10-04 Nicolas Dugué , Victor Connes

In the last few years many real-world networks have been found to show a so-called community structure organization. Much effort has been devoted in the literature to develop methods and algorithms that can efficiently highlight this hidden…

Social and Information Networks · Computer Science 2012-06-18 Michele Coscia , Fosca Giannotti , Dino Pedreschi

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

Social and Information Networks · Computer Science 2024-05-09 Huan Qing

The issue of network community detection has been extensively studied across many fields. Most community detection methods assume that nodes belong to only one community. However, in many cases, nodes can belong to multiple communities…

Social and Information Networks · Computer Science 2024-03-14 Do Duy Hieu , Phan Thi Ha Duong

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

We consider the problem of estimating a consensus community structure by combining information from multiple layers of a multi-layer network using methods based on the spectral clustering or a low-rank matrix factorization. As a general…

Machine Learning · Statistics 2018-12-04 Subhadeep Paul , Yuguo Chen