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We study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

Methodology · Statistics 2017-10-17 Chao Gao , John Lafferty

We propose a structure-preserving model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix…

Systems and Control · Electrical Eng. & Systems 2023-05-15 Hancheng Min , Enrique Mallada

Discovering low-dimensional structure in real-world networks requires a suitable null model that defines the absence of meaningful structure. Here we introduce a spectral approach for detecting a network's low-dimensional structure, and the…

Social and Information Networks · Computer Science 2021-05-24 Mark D. Humphries , Javier A. Caballero , Mat Evans , Silvia Maggi , Abhinav Singh

Networks and data supported on graphs have become ubiquitous in the sciences and engineering. This paper studies the 'blind' community detection problem, where we seek to infer the community structure of a graph model given the observation…

Social and Information Networks · Computer Science 2020-10-28 T. Mitchell Roddenberry , Michael T. Schaub , Hoi-To Wai , Santiago Segarra

Community detection has been one of the central problems in network studies and directed network is particularly challenging due to asymmetry among its links. In this paper, we found that incorporating the direction of links reveals new…

Social and Information Networks · Computer Science 2013-09-24 Sungmin Kim , Tao Shi

Community detection methods have so far been tested mostly on small empirical networks and on synthetic benchmarks. Much less is known about their performance on large real-world networks, which nonetheless are a significant target for…

Physics and Society · Physics 2015-03-17 Gergely Tibely , Lauri Kovanen , Marton Karsai , Kimmo Kaski , Janos Kertesz , Jari Saramaki

Finding meaningful communities - subnetworks of interest within a large scale network - is a problem with a variety of applications. Most existing work towards community detection focuses on a single network. However, many real-life…

Social and Information Networks · Computer Science 2020-11-19 Dhara Shah , Yubao Wu , Sushil Prasad , Danial Aghajarian

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

Personalized community detection aims to generate communities associated with user need on graphs, which benefits many downstream tasks such as node recommendation and link prediction for users, etc. It is of great importance but lack of…

Information Retrieval · Computer Science 2020-09-08 Zheng Gao , Chun Guo , Xiaozhong Liu

Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all partitions of the graph compared against a null…

Physics and Society · Physics 2015-02-17 Renaud Lambiotte , Jean-Charles Delvenne , Mauricio Barahona

Community structure is one of the most prominent features of complex networks. Community structure detection is of great importance to provide insights into the network structure and functionalities. Most proposals focus on static networks.…

Data Structures and Algorithms · Computer Science 2018-04-12 Souâad Boudebza , Rémy Cazabet , Faiçal Azouaou , Omar Nouali

Conventional network data has largely focused on pairwise interactions between two entities, yet multi-way interactions among multiple entities have been frequently observed in real-life hypergraph networks. In this article, we propose a…

Machine Learning · Statistics 2021-09-06 Yaoming Zhen , Junhui Wang

Detecting community structures in social networks has gained considerable attention in recent years. However, lack of prior knowledge about the number of communities, and their overlapping nature have made community detection a challenging…

Social and Information Networks · Computer Science 2016-05-10 Mahsa Ghorbani , Hamid R. Rabiee , Ali Khodadadi

Statistical significance of network clustering has been an unresolved problem since it was observed that community detection algorithms produce false positives even in random graphs. After a phase transition between undetectable and…

Social and Information Networks · Computer Science 2016-05-03 Jeremi K. Ochab

Transvaginal ultrasound is a critical imaging modality for evaluating cervical anatomy and detecting physiological changes. However, accurate segmentation of cervical structures remains challenging due to low contrast, shadow artifacts, and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Tran Quoc Khanh Le , Nguyen Lan Vi Vu , Ha-Hieu Pham , Xuan-Loc Huynh , Tien-Huy Nguyen , Minh Huu Nhat Le , Quan Nguyen , Hien D. Nguyen

In recent years, there has been a surge of interest in community detection algorithms for complex networks. A variety of computational heuristics, some with a long history, have been proposed for the identification of communities or,…

Physics and Society · Physics 2012-03-06 Michael T. Schaub , Jean-Charles Delvenne , Sophia N. Yaliraki , Mauricio Barahona

Intra-urban origin-destination (OD) network communities evolve throughout the day, indicating changing groups of closely connected regions. Under this variation, groups of regions with high consistency of community affiliation characterize…

Physics and Society · Physics 2023-09-25 Xiao-Jian Chen , Yuhui Zhao , Chaogui Kang , Xiaoyue Xing , Quanhua Dong , Yu Liu

The study and comprehension of complex systems are crucial intellectual and scientific challenges of the 21st century. In this scenario, network science has emerged as a mathematical tool to support the study of such systems. Examples…

Social and Information Networks · Computer Science 2020-11-03 Alessandra Marli , Didier A Vega-Oliveros , Moshé Cotacallapa , Leonardo N Ferreira , Elbert EN Macau , Marcos G Quiles

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Understanding which parts of a dynamical system cause each other is extremely relevant in fundamental and applied sciences. However, inferring causal links from observational data, namely without direct manipulations of the system, is still…

Data Analysis, Statistics and Probability · Physics 2025-06-27 Matteo Allione , Vittorio Del Tatto , Alessandro Laio