English
Related papers

Related papers: Analyzing Modularity Maximization in Approximation…

200 papers

Community detection is a fundamental problem in network analysis, with applications in many diverse areas. The stochastic block model is a common tool for model-based community detection, and asymptotic tools for checking consistency of…

Statistics Theory · Mathematics 2015-03-18 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

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

We propose a new local community detection algorithm that finds communities by identifying borderlines between them using boundary nodes. Our method performs label propagation for community detection, where nodes decide their labels based…

Physics and Society · Physics 2018-10-17 Mursel Tasgin , Haluk O. Bingol

We consider two new problems regarding the impact of edge addition or removal on the modularity of partitions (or community structures) in a network. The first problem seeks to add edges to enforce that a desired partition is the partition…

Social and Information Networks · Computer Science 2022-05-23 Daniel Kosmas , John E. Mitchell , Thomas C. Sharkey , Boleslaw K. Szymanski

We introduce a novel method for identifying the modular structures of a network based on the maximization of an objective function: the ratio association. This cost function arises when the communities detection problem is described in the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Leonardo Angelini , Stefano Boccaletti , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

One of the most widely studied problem in mining and analysis of complex networks is the detection of community structures. The problem has been extensively studied by researchers due to its high utility and numerous applications in various…

Social and Information Networks · Computer Science 2016-07-29 Muhammad Qasim Pasta , Faraz Zaidi , Guy Melançon

We propose a new model to detect the overlapping communities of a network that is based on cooperative games and mathematical programming. More specifically, communities are defined as stable coalitions of a weighted graph community game…

Optimization and Control · Mathematics 2023-01-26 Stefano Benati , Justo Puerto , Antonio M. Rodríguez-Chía , Francisco Temprano

Graph clustering, a fundamental and challenging task in graph mining, aims to classify nodes in a graph into several disjoint clusters. In recent years, graph contrastive learning (GCL) has emerged as a dominant line of research in graph…

Machine Learning · Computer Science 2024-06-21 Yunfei Liu , Jintang Li , Yuehe Chen , Ruofan Wu , Ericbk Wang , Jing Zhou , Sheng Tian , Shuheng Shen , Xing Fu , Changhua Meng , Weiqiang Wang , Liang Chen

Communities of vertices within a giant network such as the World-Wide Web are likely to be vastly smaller than the network itself. However, Fortunato and Barth\'{e}lemy have proved that modularity maximization algorithms for community…

Physics and Society · Physics 2013-05-29 Jonathan W. Berry , Bruce Hendrickson , Randall A. LaViolette , Cynthia A. Phillips

Current community detection algorithms operate by optimizing a statistic called modularity, which analyzes the distribution of positively weighted edges in a network. Modularity does not account for negatively weighted edges. This paper…

Data Analysis, Statistics and Probability · Physics 2008-01-23 Todd D. Kaplan , Stephanie Forrest

Quantum adiabatic optimization has long been expected to outperform classical methods in solving NP-type problems. While this has been proven in certain experiments, its main applications still reside in academic problems where the size of…

Physics and Society · Physics 2026-02-02 Joan Falcó-Roget , Kacper Jurek , Barbara Wojtarowicz , Karol Capała , Katarzyna Rycerz

The identification of community structure in a social network is an important problem tackled in the literature of network analysis. There are many solutions to this problem using a static scenario, when facing a dynamic scenario some…

Social and Information Networks · Computer Science 2021-12-01 Aurélio Ribeiro Costa

The modular structure of brain networks supports specialized information processing, complex dynamics, and cost-efficient spatial embedding. Inter-individual variation in modular structure has been linked to differences in performance,…

Social network analysis is a popular discipline among the social and behavioural sciences, in which the relationships between different social entities are modelled as a network. One of the most popular problems in social network analysis…

Social and Information Networks · Computer Science 2022-08-30 Javier Fumanal-Idocin , Oscar Cordón , María Minárová , Amparo Alonso-Betanzos , Humberto Bustince

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

Social and Information Networks · Computer Science 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

Community discovery in complex networks is an interesting problem with a number of applications, especially in the knowledge extraction task in social and information networks. However, many large networks often lack a particular community…

Data Structures and Algorithms · Computer Science 2012-06-05 Michele Coscia , Giulio Rossetti , Fosca Giannotti , Dino Pedreschi

Community detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

There has been a recent interest in understanding the power of local algorithms for optimization and inference problems on sparse graphs. Gamarnik and Sudan (2014) showed that local algorithms are weaker than global algorithms for finding…

Machine Learning · Statistics 2015-08-11 Elchanan Mossel , Jiaming Xu

Detecting communities in a network, based only on the adjacency matrix, is a problem of interest to several scientific disciplines. Recently, Zhang and Moore have introduced an algorithm in [P. Zhang and C. Moore, Proceedings of the…

Physics and Society · Physics 2016-03-01 Christophe Schülke , Federico Ricci-Tersenghi

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

Data Analysis, Statistics and Probability · Physics 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha