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Community detection is one of the fundamental problems of network analysis, for which a number of methods have been proposed. Most model-based or criteria-based methods have to solve an optimization problem over a discrete set of labels to…

Machine Learning · Statistics 2015-05-12 Can M. Le , Elizaveta Levina , Roman Vershynin

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

Complex networks represent interactions between entities. They appear in various contexts such as sociology, biology, etc., and they generally contain highly connected subgroups called communities. Community detection is a well-studied…

Social and Information Networks · Computer Science 2014-06-11 Romain Campigotto , Patricia Conde Céspedes , Jean-Loup Guillaume

Community detection is a fundamental problem in network analysis with many methods available to estimate communities. Most of these methods assume that the number of communities is known, which is often not the case in practice. We study a…

Machine Learning · Statistics 2019-11-18 Can M. Le , Elizaveta Levina

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

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are…

Physics and Society · Physics 2022-09-02 Kun Gao , Xuezao Ren , Lei Zhou , Junfang Zhu

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

This paper proposes a network model of opinion dynamics based on both the social network structure and network centralities. The conceptual novelty in this model is that the opinion of each individual is weighted by the associated network…

Social and Information Networks · Computer Science 2022-02-08 Shuang Gao

We use the information present in a bipartite network to detect cores of communities of each set of the bipartite system. Cores of communities are found by investigating statistically validated projected networks obtained using information…

Physics and Society · Physics 2017-08-30 Christian Bongiorno , András London , Salvatore Miccichè , Rosario N. Mantegna

We study the fundamental limits on learning latent community structure in dynamic networks. Specifically, we study dynamic stochastic block models where nodes change their community membership over time, but where edges are generated…

Machine Learning · Statistics 2016-07-20 Amir Ghasemian , Pan Zhang , Aaron Clauset , Cristopher Moore , Leto Peel

We propose a method to find out the community structure of a complex network. In this method the ground state problem of a ferromagnetic random field Ising model is considered on the network with the magnetic field $B_s = +\infty$, $B_{t} =…

Statistical Mechanics · Physics 2007-05-23 Seung-Woo Son , Hawoong Jeong , Jae Dong Noh

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

Methodology · Statistics 2023-03-13 Andressa Cerqueira , Elizaveta Levina

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

We present a network community-detection technique based on properties that emerge from a nature-inspired system of aligning particles. Initially, each vertex is assigned a random-direction unit vector. A nonlinear dynamic law is…

Social and Information Networks · Computer Science 2026-01-27 Filipe Alves Neto Verri , Roberto Alves Gueleri , Qiusheng Zheng , Junbao Zhang , Liang Zhao

In this paper, we propose a scalable community detection algorithm using hypergraph modularity function, h-Louvain. It is an adaptation of the classical Louvain algorithm in the context of hypergraphs. We observe that a direct application…

Social and Information Networks · Computer Science 2024-06-26 Bogumił Kamiński , Paweł Misiorek , Paweł Prałat , François Théberge

We derive rigorous bounds for well-defined community structure in complex networks for a stochastic block model (SBM) benchmark. In particular, we analyze the effect of inter-community "noise" (inter-community edges) on any "community…

Statistical Mechanics · Physics 2014-07-14 Richard K. Darst , David R. Reichman , Peter Ronhovde , Zohar Nussinov

The different approaches developed to analyze the structure of complex networks have generated a large number of studies. In the field of social networks at least, studies mainly address the detection and analysis of communities. In this…

Social and Information Networks · Computer Science 2020-06-11 Djellabi Mehdi , Jouve Bertrand , Amblard Frédéric

Complex real-world networks commonly reveal characteristic groups of nodes like communities and modules. These are of value in various applications, especially in the case of large social and information networks. However, while numerous…

Social and Information Networks · Computer Science 2013-12-30 Lovro Šubelj , Marko Bajec

Bipartite networks are a common type of network data in which there are two types of vertices, and only vertices of different types can be connected. While bipartite networks exhibit community structure like their unipartite counterparts,…

Social and Information Networks · Computer Science 2014-07-14 Daniel B. Larremore , Aaron Clauset , Abigail Z. Jacobs

Community structure is an important structural property that extensively exists in various complex networks. In the past decade, much attention has been paid to the design of community-detection methods, but analyzing the behaviors of the…

Physics and Society · Physics 2017-06-28 Ju Xiang , Zhi-Zhong Wang , Hui-Jia Li , Yan Zhang , Fang Li , Li-Ping Dong , Jian-Ming Li
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