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Community structure is a typical property of many real-world networks, and has become a key to understand the dynamics of the networked systems. In these networks most nodes apparently lie in a community while there often exists a few nodes…

Social and Information Networks · Computer Science 2017-12-07 Zhan Weihua , Chen Huahui , Guan Jihong , Jin Guang

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

Methodology · Statistics 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Community structure appears to be an intrinsic property of many complex real-world networks. However, recent work shows that real-world networks reveal even more sophisticated modules than classical cohesive (link-density) communities. In…

Physics and Society · Physics 2012-02-07 Lovro Šubelj , Marko Bajec

The issue of partitioning a network into communities has attracted a great deal of attention recently. Most authors seem to equate this issue with the one of finding the maximum value of the modularity, as defined by Newman. Since the…

Physics and Society · Physics 2009-11-11 Mika Gustafsson , Anna Lombardi , Michael Hornquist

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

The study of interlayer similarity of multiplex networks helps to understand the intrinsic structure of complex systems, revealing how changes in one layer can propagate and affect others, thus enabling broad implications for…

Social and Information Networks · Computer Science 2025-05-13 Haoran Nan , Senquan Wang , Chun Ouyang , Yanchen Zhou , Weiwei Gu

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen

Community detection is an important task in network analysis. A community (also referred to as a cluster) is a set of cohesive vertices that have more connections inside the set than outside. In many social and information networks, these…

Social and Information Networks · Computer Science 2015-04-06 Joyce Jiyoung Whang , David F. Gleich , Inderjit S. Dhillon

The stacking problem is approached by computational mechanics, using an Ising next nearest neighbor model. Computational mechanics allows to treat the stacking arrangement as an information processing system in the light of a symbol…

Materials Science · Physics 2017-06-27 Edwin Rodriguez-Horta , Ernesto Estevez-Rams , Reinhard Neder , Raimundo Lora-Serrano

We present a compact matrix formulation of the modularity, a commonly used quality measure for the community division in a network. Using this formulation we calculate the density of modularities, a statistical measure of the probability of…

Statistical Mechanics · Physics 2016-08-16 Erik Holmström , Nicolas Bock , Johan Brännlund

A large body of work has been devoted to defining and identifying clusters or communities in social and information networks. We explore from a novel perspective several questions related to identifying meaningful communities in large…

Data Structures and Algorithms · Computer Science 2008-10-13 Jure Leskovec , Kevin J. Lang , Anirban Dasgupta , Michael W. Mahoney

Ecological networks describe the interactions between different species, informing us of how they rely on one another for food, pollination and survival. If a species in an ecosystem is under threat of extinction, it can affect other…

Populations and Evolution · Quantitative Biology 2023-07-06 Chris Jones , Damaris Zurell , Karoline Wiesner

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

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Characterizing the community structure of complex networks is a key challenge in many scientific fields. Very diverse algorithms and methods have been proposed to this end, many working reasonably well in specific situations. However, no…

Physics and Society · Physics 2013-01-01 Rodrigo Aldecoa , Ignacio Marín

We present network embedding algorithms that capture information about a node from the local distribution over node attributes around it, as observed over random walks following an approach similar to Skip-gram. Observations from…

Machine Learning · Computer Science 2021-03-23 Benedek Rozemberczki , Carl Allen , Rik Sarkar

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

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

Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

Social and Information Networks · Computer Science 2020-05-20 Rudy Arthur