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Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

Applications · Statistics 2020-03-24 Subhadeep Paul , Yuguo Chen

Based on signaling process on complex networks, a method for identification community structure is proposed. For a network with $n$ nodes, every node is assumed to be a system which can send, receive, and record signals. Each node is taken…

Physics and Society · Physics 2013-05-29 Yanqing Hu , Menghui Li , Peng Zhang , Ying Fan , Zengru Di

Networks are commonly used to model complex systems. The different entities in the system are represented by nodes of the network and their interactions by edges. In most real life systems, the different entities may interact in different…

Social and Information Networks · Computer Science 2024-01-17 Meiby Ortiz-Bouza , Selin Aviyente

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

A fast community detection algorithm based on a q-state Potts model is presented. Communities in networks (groups of densely interconnected nodes that are only loosely connected to the rest of the network) are found to coincide with the…

Statistical Mechanics · Physics 2009-11-10 Joerg Reichardt , Stefan Bornholdt

Community detection in networks refers to the process of seeking strongly internally connected groups of nodes which are weakly externally connected. In this work, we introduce and study a community definition based on internal edge…

Physics and Society · Physics 2013-01-15 Richard K. Darst David R. Reichman Peter Ronhovde , Zohar Nussinov

We propose a method for simultaneously detecting shared and unshared communities in heterogeneous multilayer weighted and undirected networks. The multilayer network is assumed to follow a generative probabilistic model that takes into…

Social and Information Networks · Computer Science 2019-06-25 Hafiz Tiomoko Ali , Sijia Liu , Yasin Yilmaz , Romain Couillet , Indika Rajapakse , Alfred Hero

We show here that the problem of maximizing a family of quantitative functions, encompassing both the modularity (Q-measure) and modularity density (D-measure), for community detection can be uniformly understood as a combinatoric…

Physics and Society · Physics 2015-05-27 Jonathan Q. Jiang , Lisa J. McQuay

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

Like clustering analysis, community detection aims at assigning nodes in a network into different communities. Fdp is a recently proposed density-based clustering algorithm which does not need the number of clusters as prior input and the…

Social and Information Networks · Computer Science 2016-09-21 Tao You , Ben-Chang Shia , Zhong-Yuan Zhang

Recognizing number of communities and detecting community structures of complex network are discussed in this paper. As a visual and feasible algorithm, block model has been successfully applied to detect community structures in complex…

Physics and Society · Physics 2018-03-20 Hongjue Wang , Tao Wang

As research into community finding in social networks progresses, there is a need for algorithms capable of detecting overlapping community structure. Many algorithms have been proposed in recent years that are capable of assigning each…

Physics and Society · Physics 2010-11-18 Aaron F. McDaid , Neil J. Hurley

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

Computation · Statistics 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

Networks are a convenient way to represent complex systems of interacting entities. Many networks contain "communities" of nodes that are more densely connected to each other than to nodes in the rest of the network. In this paper, we…

Physics and Society · Physics 2017-12-27 Marya Bazzi , Mason A. Porter , Stacy Williams , Mark McDonald , Daniel J. Fenn , Sam D. Howison

Community detection in multilayer networks, which aims to identify groups of nodes exhibiting similar connectivity patterns across multiple network layers, has attracted considerable attention in recent years. Most existing methods are…

Methodology · Statistics 2026-01-26 Dapeng Shi , Haoran Zhang , Tiandong Wang , Junhui Wang

Network analysis can help uncover meaningful regularities in the organization of complex systems. Among these, rich clubs are a functionally important property of a variety of social, technological and biological networks. Rich clubs emerge…

Physics and Society · Physics 2014-12-03 Jeff Alstott , Pietro Panzarasa , Mikail Rubinov , Ed Bullmore , Petra Vertes

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

A dynamic factor model with a mixture distribution of the loadings is introduced and studied for multivariate, possibly high-dimensional time series. The correlation matrix of the model exhibits a block structure, reminiscent of correlation…

Methodology · Statistics 2023-07-20 Shankar Bhamidi , Dhruv Patel , Vladas Pipiras , Guorong Wu

In recent years there has been an increased interest in statistical analysis of data with multiple types of relations among a set of entities. Such multi-relational data can be represented as multi-layer graphs where the set of vertices…

Machine Learning · Statistics 2017-04-27 Subhadeep Paul , Yuguo Chen
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