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We consider three distinct and well studied problems concerning network structure: community detection by modularity maximization, community detection by statistical inference, and normalized-cut graph partitioning. Each of these problems…

Physics and Society · Physics 2013-11-13 M. E. J. Newman

Community detection has been well studied recent years, but the more realistic case of mixed membership community detection remains a challenge. Here, we develop an efficient spectral algorithm Mixed-ISC based on applying more than K…

Social and Information Networks · Computer Science 2020-12-15 Huan Qing , Jingli Wang

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

Hidden community is a useful concept proposed recently for social network analysis. To handle the rapid growth of network scale, in this work, we explore the detection of hidden communities from the local perspective, and propose a new…

Social and Information Networks · Computer Science 2021-12-09 Meng Wang , Boyu Li , Kun He , John E. Hopcroft

Nowadays, networks are almost ubiquitous. In the past decade, community detection received an increasing interest as a way to uncover the structure of networks by grouping nodes into communities more densely connected internally than…

Data Structures and Algorithms · Computer Science 2015-03-20 Erwan Le Martelot , Chris Hankin

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

Background: Network communities help the functional organization and evolution of complex networks. However, the development of a method, which is both fast and accurate, provides modular overlaps and partitions of a heterogeneous network,…

Computational Physics · Physics 2010-09-06 Istvan A. Kovacs , Robin Palotai , Mate S. Szalay , Peter Csermely

We analyze the performance of spectral clustering for community extraction in stochastic block models. We show that, under mild conditions, spectral clustering applied to the adjacency matrix of the network can consistently recover hidden…

Statistics Theory · Mathematics 2014-12-31 Jing Lei , Alessandro Rinaldo

Network communities represent mesoscopic structure for understanding the organization of real-world networks, where nodes often belong to multiple communities and form overlapping community structure in the network. Due to non-triviality in…

Social and Information Networks · Computer Science 2015-06-11 Tanmoy Chakraborty

Although community detection has drawn tremendous amount of attention across the sciences in the past decades, no formal consensus has been reached on the very nature of what qualifies a community as such. In this article we take an…

Social and Information Networks · Computer Science 2011-07-19 Adrien Friggeri , Guillaume Chelius , Eric Fleury

The concept of community detection has long been used as a key device for handling the mesoscale structures in networks. Suitably conducted community detection reveals various embedded informative substructures of network topology. However,…

Physics and Society · Physics 2021-05-28 Daekyung Lee , Sang Hoon Lee , Beom Jun Kim , Heetae Kim

When dealing with large graphs, community detection is a useful data triage tool that can identify subsets of the network that a data analyst should investigate. In an adversarial scenario, the graph may be manipulated to avoid scrutiny of…

Social and Information Networks · Computer Science 2023-08-08 Benjamin A. Miller , Kevin Chan , Tina Eliassi-Rad

We propose a new local, deterministic and parameter-free algorithm that detects fuzzy and crisp overlapping communities in a weighted network and simultaneously reveals their hierarchy. Using a local fitness function, the algorithm greedily…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Frank Havemann , Michael Heinz , Alexander Struck , Jochen Gläser

Recent developments in the internet and technology have made major advancements in tools that facilitate the collection of social data, opening up thus new opportunities for analyzing social networks. Social network analysis studies the…

Social and Information Networks · Computer Science 2022-12-06 Souaad Boudebza

The study of complex networks has significantly advanced our understanding of community structures which serves as a crucial feature of real-world graphs. Detecting communities in graphs is a challenging problem with applications in…

Social and Information Networks · Computer Science 2024-07-15 Jiakang Li , Songning Lai , Zhihao Shuai , Yuan Tan , Yifan Jia , Mianyang Yu , Zichen Song , Xiaokang Peng , Ziyang Xu , Yongxin Ni , Haifeng Qiu , Jiayu Yang , Yutong Liu , Yonggang Lu

Complex data in social and natural sciences find effective representation through networks, wherein quantitative and categorical information can be associated with nodes and connecting edges. The internal structure of networks can be…

Social and Information Networks · Computer Science 2024-08-07 Fabio Morea , Domenico De Stefano

In this article, we study spectral methods for community detection based on $ \alpha$-parametrized normalized modularity matrix hereafter called $ {\bf L}_\alpha $ in heterogeneous graph models. We show, in a regime where community…

Machine Learning · Statistics 2016-11-04 Hafiz Tiomoko Ali , Romain Couillet

Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the…

Social and Information Networks · Computer Science 2013-11-06 Arash A. Amini , Aiyou Chen , Peter J. Bickel , Elizaveta Levina

A common data mining task on networks is community detection, which seeks an unsupervised decomposition of a network into structural groups based on statistical regularities in the network's connectivity. Although many methods exist, the No…

Machine Learning · Statistics 2020-08-10 Amir Ghasemian , Homa Hosseinmardi , Aaron Clauset

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

Social and Information Networks · Computer Science 2019-11-21 Waqas Nawaz