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Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

Methodology · Statistics 2020-03-02 Jesús Arroyo , Elizaveta Levina

We develop a Bayesian hierarchical model to identify communities in networks for which we do not observe the edges directly, but instead observe a series of interdependent signals for each of the nodes. Fitting the model provides an…

Social and Information Networks · Computer Science 2020-02-12 Till Hoffmann , Leto Peel , Renaud Lambiotte , Nick S. Jones

Community structure is largely regarded as an intrinsic property of complex real-world networks. However, recent studies reveal that networks comprise even more sophisticated modules than classical cohesive communities. More precisely,…

Physics and Society · Physics 2011-10-13 Lovro Šubelj , Marko Bajec

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely…

Physics and Society · Physics 2012-06-11 Stefano Cardanobile , Volker Pernice , Moritz Deger , Stefan Rotter

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We…

Statistical Mechanics · Physics 2013-05-09 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

Network community detection often relies on optimizing partition quality functions, like modularity. This optimization appears to be a complex problem traditionally relying on discrete heuristics. And although the problem could be…

Social and Information Networks · Computer Science 2021-03-04 Stanislav Sobolevsky

In this paper, we propose an evolving network model growing fast in units of module, based on the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected…

Physics and Society · Physics 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

In clinical trials and other applications, we often see regions of the feature space that appear to exhibit interesting behaviour, but it is unclear whether these observed phenomena are reflected at the population level. Focusing on a…

Statistics Theory · Mathematics 2023-09-21 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

There has been a surge of interest in community detection in homogeneous single-relational networks which contain only one type of nodes and edges. However, many real-world systems are naturally described as heterogeneous multi-relational…

Social and Information Networks · Computer Science 2014-07-21 Xin Liu , Weichu Liu , Tsuyoshi Murata , Ken Wakita

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

Computers and Society · Computer Science 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

This paper proposes a logistic undirected network formation model which allows for assortative matching on observed individual characteristics and the presence of edge-wise fixed effects. We model the coefficients of observed…

Econometrics · Economics 2021-03-08 Shujie Ma , Liangjun Su , Yichong Zhang

Network is a simple but powerful representation of real-world complex systems. Network community analysis has become an invaluable tool to explore and reveal the internal organization of nodes. However, only a few methods were directly…

Social and Information Networks · Computer Science 2016-03-23 Xuemei Ning , Zhaoqi Liu , Shihua Zhang

While studies show that autism is highly heritable, the nature of the genetic basis of this disorder remains illusive. Based on the idea that highly correlated genes are functionally interrelated and more likely to affect risk, we develop a…

Methodology · Statistics 2015-11-18 Li Liu , Jing Lei , Kathryn Roeder

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

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

For many networks of scientific interest we know both the connections of the network and information about the network nodes, such as the age or gender of individuals in a social network, geographic location of nodes in the Internet, or…

Social and Information Networks · Computer Science 2016-06-17 M. E. J. Newman , Aaron Clauset

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

With invaluable theoretical and practical benefits, the problem of partitioning networks for community structures has attracted significant research attention in scientific and engineering disciplines. In literature, Newman's modularity…

Social and Information Networks · Computer Science 2018-02-06 Wenye Li