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Community detection algorithms attempt to find the best clusters of nodes in an arbitrary complex network. Multi-scale ("multiresolution") community detection extends the problem to identify the best network scale(s) for these clusters. The…

Physics and Society · Physics 2015-06-11 Peter Ronhovde , Zohar Nussinov

Community detection in multilayer networks, which aims to identify groups of nodes exhibiting similar connectivity patterns across multiple network layers, has attracted considerable attention in recent years. Most existing methods are…

Methodology · Statistics 2026-01-26 Dapeng Shi , Haoran Zhang , Tiandong Wang , Junhui Wang

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 express community detection as an inference problem of determining the most likely arrangement of communities. We then apply belief propagation and mean-field theory to this problem, and show that this leads to fast, accurate algorithms…

Statistical Mechanics · Physics 2009-11-11 M. B. Hastings

Community detection, the decomposition of a graph into essential building blocks, has been a core research topic in network science over the past years. Since a precise notion of what constitutes a community has remained evasive, community…

Social and Information Networks · Computer Science 2017-02-17 Michael T. Schaub , Jean-Charles Delvenne , Martin Rosvall , Renaud Lambiotte

Recently network analysis has gained more and more attentions in statistics, as well as in computer science, probability, and applied mathematics. Community detection for the stochastic block model (SBM) is probably the most studied topic…

Statistics Theory · Mathematics 2015-11-17 Anderson Y. Zhang , Harrison H. Zhou

Community Detection algorithms are used to detect densely connected components in complex networks and reveal underlying relationships among components. As a special type of networks, spatial networks are usually generated by the…

Social and Information Networks · Computer Science 2022-10-18 Yunlei Liang , Jiawei Zhu , Wen Ye , Song Gao

Community detection is a task of fundamental importance in social network analysis that can be used in a variety of knowledge-based domains. While there exist many works on community detection based on connectivity structures, they suffer…

Social and Information Networks · Computer Science 2017-02-14 Mahdi Hajiabadi , Hadi Zare , Hossein Bobarshad

Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algorithms produce a hierarchical structure of community and seek…

Data Structures and Algorithms · Computer Science 2021-01-13 Pascal Pons , Matthieu Latapy

Inference of community structure in probabilistic graphical models may not be consistent with fairness constraints when nodes have demographic attributes. Certain demographics may be over-represented in some detected communities and…

Machine Learning · Statistics 2026-02-23 Davoud Ataee Tarzanagh , Laura Balzano , Alfred O. Hero

We show that a simple community detection algorithm originated from stochastic blockmodel literature achieves consistency, and even optimality, for a broad and flexible class of sparse latent space models. The class of models includes…

Machine Learning · Statistics 2020-08-05 Fengnan Gao , Zongming Ma , Hongsong Yuan

Community structure is one of the most important features of real networks and reveals the internal organization of the nodes. Many algorithms have been proposed but the crucial issue of testing, i.e. the question of how good an algorithm…

Physics and Society · Physics 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

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

Community detection is a central task in graph analytics. Given the substantial growth in graph size, scalability in community detection continues to be an unresolved challenge. Recently, alongside established methods like Louvain and…

Social and Information Networks · Computer Science 2024-12-18 Tianyi Chen , Charalampos E. Tsourakakis

Community detection is of great importance for understand-ing graph structure in social networks. The communities in real-world networks are often overlapped, i.e. some nodes may be a member of multiple clusters. How to uncover the…

Social and Information Networks · Computer Science 2015-01-09 Kuang Zhou , Arnaud Martin , Quan Pan

In this paper, we introduce a novel and computationally efficient method for vertex embedding, community detection, and community size determination. Our approach leverages a normalized one-hot graph encoder and a rank-based cluster size…

Social and Information Networks · Computer Science 2024-07-23 Cencheng Shen , Youngser Park , Carey E. Priebe

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

Physics and Society · Physics 2012-02-03 Bowen Yan , Steve Gregory

The issue of network community detection has been extensively studied across many fields. Most community detection methods assume that nodes belong to only one community. However, in many cases, nodes can belong to multiple communities…

Social and Information Networks · Computer Science 2024-03-14 Do Duy Hieu , Phan Thi Ha Duong

Hypergraph data appear and are hidden in many places in the modern age. They are data structure that can be used to model many real data examples since their structures contain information about higher order relations among data points. One…

Social and Information Networks · Computer Science 2020-10-02 Dong Quan Ngoc Nguyen , Lin Xing , Lizhen Lin

Community detection in networks is the process of identifying unusually well-connected sub-networks and is a central component of many applied network analyses. The paradigm of modularity optimization stipulates a partition of the network's…

Applications · Statistics 2017-08-16 Weston D. Viles , A. James O'Malley