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Local community detection, the problem of identifying a set of relevant nodes nearby a small set of input seed nodes, is an important graph primitive with a wealth of applications and research activity. Recent approaches include using local…

Social and Information Networks · Computer Science 2016-11-17 Kyle Kloster , Yixuan Li

This article considers the problem of community detection in sparse dynamical graphs in which the community structure evolves over time. A fast spectral algorithm based on an extension of the Bethe-Hessian matrix is proposed, which benefits…

Social and Information Networks · Computer Science 2020-10-27 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

In a graph or complex network, communities and anti-communities are node sets whose modularity attains extremely large values, positive and negative, respectively. We consider the simultaneous detection of communities and anti-communities,…

Social and Information Networks · Computer Science 2017-09-21 Dario Fasino , Francesco Tudisco

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Spectral clustering has been one of the widely used methods for community detection in networks. However, large-scale networks bring computational challenges to the eigenvalue decomposition therein. In this paper, we study the spectral…

Social and Information Networks · Computer Science 2022-01-07 Hai Zhang , Xiao Guo , Xiangyu Chang

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

Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

No community detection algorithm can be optimal for all possible networks, thus it is important to identify whether the algorithm is suitable for a given network. We propose a multi-step algorithmic solution scheme for overlapping community…

Social and Information Networks · Computer Science 2020-06-24 Tianyi Li , Pan Zhang

The methodology of community detection can be divided into two principles: imposing a network model on a given graph, or optimizing a designed objective function. The former provides guarantees on theoretical detectability but falls short…

Machine Learning · Statistics 2017-10-06 Pin-Yu Chen , Lingfei Wu

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

Methodology · Statistics 2020-03-02 Jesús Arroyo , Elizaveta Levina

Community detection can reveal the underlying structure and patterns of complex networks, identify sets of nodes with specific functions or similar characteristics, and study the evolution process and development trends of networks. Despite…

Social and Information Networks · Computer Science 2024-12-05 Jiaqi Yao , Lewis Mitchell

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

One of the most relevant tasks in network analysis is the detection of community structures, or clustering. Most popular techniques for community detection are based on the maximization of a quality function called modularity, which in turn…

Numerical Analysis · Mathematics 2014-07-23 Dario Fasino , Francesco Tudisco

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

Spectral clustering methods are widely used for detecting clusters in networks for community detection, while a small change on the graph Laplacian matrix could bring a dramatic improvement. In this paper, we propose a dual regularized…

Machine Learning · Statistics 2020-11-10 Huan Qing , Jingli Wang

A recently introduced novel community detection strategy is based on a label propagation algorithm (LPA) which uses the diffusion of information in the network to identify communities. Studies of LPAs showed that the strategy is effective…

Social and Information Networks · Computer Science 2013-03-28 Gennaro Cordasco , Luisa Gargano

Networks are commonly used to model complex systems. The different entities in the system are represented by nodes of the network and their interactions by edges. In most real life systems, the different entities may interact in different…

Social and Information Networks · Computer Science 2024-01-17 Meiby Ortiz-Bouza , Selin Aviyente

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

The label propagation algorithm (LPA) has been proved to be a fast and effective method for detecting communities in large complex networks. However, its performance is subject to the non-stable and trivial solutions of the problem. In this…

Physics and Society · Physics 2016-12-15 Jihui Han , Wei Li , Zhu Su , Longfeng Zhao , Weibing Deng

Detecting clusters or communities in large real-world graphs such as large social or information networks is a problem of considerable interest. In practice, one typically chooses an objective function that captures the intuition of a…

Data Structures and Algorithms · Computer Science 2010-04-21 Jure Leskovec , Kevin J. Lang , Michael W. Mahoney