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In this paper we present a novel strategy to discover the community structure of (possibly, large) networks. This approach is based on the well-know concept of network modularity optimization. To do so, our algorithm exploits a novel…

Social and Information Networks · Computer Science 2012-02-13 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Community detection has become an extremely active area of research in recent years, with researchers proposing various new metrics and algorithms to address the problem. Recently, the Weighted Community Clustering (WCC) metric was proposed…

Social and Information Networks · Computer Science 2014-11-04 Matthew Saltz , Arnau Prat-Pèrez , David Dominguez-Sal

A Russell graph measure (RGM) is one of the standard DEA models, but its efficiency measure is not well-defined--or has unacceptable properties--at the boundary of the nonnegative orthant. This is known as a boundary problem. Existing…

Optimization and Control · Mathematics 2026-05-08 Atsushi Hori , Kazuyuki Sekitani

We use a Potts model community detection algorithm to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph. Our multiresolution algorithm calculates correlations among multiple copies ("replicas")…

Physics and Society · Physics 2023-01-30 Peter Ronhovde , Zohar Nussinov

We compare recent approaches to community structure identification in terms of sensitivity and computational cost. The recently proposed modularity measure is revisited and the performance of the methods as applied to ad hoc networks with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leon Danon , Jordi Duch , Albert Diaz-Guilera , Alex Arenas

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

Given a graph of interactions, a module (also called a community or cluster) is a subset of nodes whose fitness is a function of the statistical significance of the pairwise interactions of nodes in the module. The topic of this paper is a…

Physics and Society · Physics 2018-08-20 Bhaskar DasGupta , Devendra Desai

The study of community structure has been a hot topic of research over the last years. But, while successfully applied in several areas, the concept lacks of a general and precise notion. Facts like the hierarchical structure and…

Physics and Society · Physics 2015-06-05 Mariano G. Beiró , Jorge R. Busch , Sebastian P. Grynberg , J. Ignacio Alvarez-Hamelin

Modularity maximization has been one of the most widely used approaches in the last decade for discovering community structure in networks of practical interest in biology, computing, social science, statistical mechanics, and more.…

Physics and Society · Physics 2017-11-10 David Mehrle , Amy Strosser , Anthony Harkin

Network representation learning (NRL) aims to learn low-dimensional vectors for vertices in a network. Most existing NRL methods focus on learning representations from local context of vertices (such as their neighbors). Nevertheless,…

Social and Information Networks · Computer Science 2018-07-05 Cunchao Tu , Xiangkai Zeng , Hao Wang , Zhengyan Zhang , Zhiyuan Liu , Maosong Sun , Bo Zhang , Leyu Lin

Modularity for multilayer networks, also called multislice modularity, is parametric to a resolution factor and an inter-layer coupling factor. The former is useful to express layer-specific relevance and the latter quantifies the strength…

Social and Information Networks · Computer Science 2017-09-22 Alessia Amelio , Andrea Tagarelli

Graphs representing real world systems may be studied from their underlying community structure. A community in a network is an intuitive idea for which there is no consensus on its objective mathematical definition. The most used metric in…

Social and Information Networks · Computer Science 2022-06-29 Daniel Gamermann , José Antônio Pellizaro

Real-world Super-Resolution (SR) has been traditionally tackled by first learning a specific degradation model that resembles the noise and corruption artifacts in low-resolution imagery. Thus, current methods lack generalization and lose…

Image and Video Processing · Electrical Eng. & Systems 2021-08-27 Angela Castillo , María Escobar , Juan C. Pérez , Andrés Romero , Radu Timofte , Luc Van Gool , Pablo Arbeláez

Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

Machine Learning · Statistics 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

We introduce a new algorithm for modularity-based community detection in large networks. The algorithm, which we refer to as a smart local moving algorithm, takes advantage of a well-known local moving heuristic that is also used by other…

Physics and Society · Physics 2015-06-17 Ludo Waltman , Nees Jan van Eck

Current approaches to community detection in social networks often ignore the spatial location of the nodes. In this paper, we look to extract spatially-near communities in a social network. We introduce a new metric to measure the quality…

Social and Information Networks · Computer Science 2013-09-12 Joseph Hannigan , Guillermo Hernandez , Richard M. Medina , Patrcik Roos , Paulo Shakarian

The role of weight on the weighted networks is investigated by studying the effect of weight on community structures. We use weighted modularity $Q^w$ to evaluate the partitions and Weighted Extremal Optimization algorithm to detect…

Physics and Society · Physics 2015-06-26 Ying Fan , Menghui Li , Peng Zhang , Jinshan Wu , Zengru Di

Community detection is one of the most studied problems on complex networks. Although hundreds of methods have been proposed so far, there is still no universally accepted formal definition of what is a good community. As a consequence, the…

Social and Information Networks · Computer Science 2015-02-19 Remy Cazabet , Rathachai Chawuthai , Hideaki Takeda

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

Based on an expert systems approach, the issue of community detection can be conceptualized as a clustering model for networks. Building upon this further, community structure can be measured through a clustering coefficient, which is…

Social and Information Networks · Computer Science 2019-04-12 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella
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