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Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

Communities are of great importance for understanding graph structures in social networks. Some existing community detection algorithms use a single prototype to represent each group. In real applications, this may not adequately model the…

Social and Information Networks · Computer Science 2015-08-26 Kuang Zhou , Arnaud Martin , Quan Pan

Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes three new, general, hierarchical frameworks to deal with this…

Social and Information Networks · Computer Science 2023-05-25 Łukasz Brzozowski , Grzegorz Siudem , Marek Gagolewski

Community detection in weighted networks has been a popular topic in recent years. However, while there exist several flexible methods for estimating communities in weighted networks, these methods usually assume that the number of…

Social and Information Networks · Computer Science 2023-04-12 Huan Qing

Assessing the statistical significance of network patterns is crucial for understanding whether such patterns indicate the presence of interesting network phenomena, or whether they simply result from less interesting processes, such as…

Methodology · Statistics 2021-09-21 James A. Scott , Axel Gandy

We address the question of finding the community structure of a complex network. In an earlier effort [H. Zhou, {\em Phys. Rev. E} (2003)], the concept of network random walking is introduced and a distance measure defined. Here we…

Biological Physics · Physics 2009-11-10 Haijun Zhou

The task of \emph{community detection} in a graph formalizes the intuitive task of grouping together subsets of vertices such that vertices within clusters are connected tighter than those in disparate clusters. This paper approaches…

Social and Information Networks · Computer Science 2015-10-12 Ramezan Paravi Torghabeh , Narayana Prasad Santhanam

The "clumpiness" matrix of a network is used to develop a method to identify its community structure. A "projection space" is constructed from the eigenvectors of the clumpiness matrix and a border line is defined using some kind of angular…

Physics and Society · Physics 2015-05-28 Ali Faqeeh , Keivan Aghababaei Samani

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Community detection is one of the most investigated problems in the field of complex networks. Although several methods were proposed, there is still no precise definition of communities. As a step towards a definition, I highlight two…

Physics and Society · Physics 2015-05-27 Gergely Tibély

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Biological and social systems consist of myriad interacting units. The interactions can be represented in the form of a graph or network. Measurements of these graphs can reveal the underlying structure of these interactions, which provides…

Machine Learning · Statistics 2017-10-25 Norbert Binkiewicz , Joshua T. Vogelstein , Karl Rohe

Spectral analysis of neighborhood graphs is one of the most widely used techniques for exploratory data analysis, with applications ranging from machine learning to social sciences. In such applications, it is typical to first encode…

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

In community detection, datasets often suffer a sampling bias for which nodes which would normally have a high affinity appear to have zero affinity. This happens for example when two affine users of a social network were not exposed to one…

Social and Information Networks · Computer Science 2023-02-03 Sameh Othman , Johannes Schulz , Marco Baity-Jesi , Caterina De Bacco

Online Social Networks have embarked on the importance of connection strength measures which has a broad array of applications such as, analyzing diffusion behaviors, community detection, link predictions, recommender systems. Though there…

Social and Information Networks · Computer Science 2022-12-22 Soumita Das , Anupam Biswas

Modularity maximization is one of the state-of-the-art methods for community detection that has gained popularity in the last decade. Yet it suffers from the resolution limit problem by preferring under certain conditions large communities…

Social and Information Networks · Computer Science 2017-10-10 Xiaoyan Lu , Konstantin Kuzmin , Mingming Chen , Boleslaw K. Szymanski

Communities are clusters of nodes with a higher than average density of internal connections. Their detection is of great relevance to better understand the structure and hierarchies present in a network. Modularity has become a standard…

Physics and Society · Physics 2015-03-17 Filippo Radicchi , Andrea Lancichinetti , José J. Ramasco

Comparison of graph structure is a ubiquitous task in data analysis and machine learning, with diverse applications in fields such as neuroscience, cyber security, social network analysis, and bioinformatics, among others. Discovery and…

Applications · Statistics 2023-01-11 Peter Wills , Francois G. Meyer