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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…

统计理论 · 数学 2015-11-17 Anderson Y. Zhang , Harrison H. Zhou

Community detection algorithms have been widely used to study the organization of complex systems like the brain. A principal appeal of these techniques is their ability to identify a partition of brain regions (or nodes) into communities,…

神经元与认知 · 定量生物学 2017-04-20 Arian Ashourvan , Qawi K. Telesford , Timothy Verstynen , Jean M. Vettel , Danielle S. Bassett

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

机器学习 · 统计学 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

Community detection refers to the task of discovering groups of vertices sharing similar properties or functions so as to understand the network data. With the recent development of deep learning, graph representation learning techniques…

人工智能 · 计算机科学 2019-12-17 Yuting Jia , Qinqin Zhang , Weinan Zhang , Xinbing Wang

Graphs are powerful abstractions for capturing complex relationships in diverse application settings. An active area of research focuses on theoretical models that define the generative mechanism of a graph. Yet given the complexity and…

社会与信息网络 · 计算机科学 2016-09-19 Rajmonda S. Caceres , Leah Weiner , Matthew C. Schmidt , Benjamin A. Miller , William M. Campbell

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

社会与信息网络 · 计算机科学 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

社会与信息网络 · 计算机科学 2019-11-21 Waqas Nawaz

There have been rapid developments in model-based clustering of graphs, also known as block modelling, over the last ten years or so. We review different approaches and extensions proposed for different aspects in this area, such as the…

机器学习 · 统计学 2020-01-01 Clement Lee , Darren J Wilkinson

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

物理与社会 · 物理学 2010-09-17 Santo Fortunato

Community detection has been an active research area for decades. Among all probabilistic models, Stochastic Block Model has been the most popular one. This paper introduces a novel probabilistic model: RW-HDP, based on random walks and…

应用统计 · 统计学 2016-08-04 Ruimin Zhu , Wenxin Jiang

Graph embeddings learn the structure of networks and represent it in low-dimensional vector spaces. Community structure is one of the features that are recognized and reproduced by embeddings. We show that an iterative procedure, in which a…

物理与社会 · 物理学 2024-07-30 Bianka Kovács , Sadamori Kojaku , Gergely Palla , Santo Fortunato

The graphon (W-graph), including the stochastic block model as a special case, has been widely used in modeling and analyzing network data. This random graph model is well-characterized by its graphon function, and estimation of the graphon…

统计方法学 · 统计学 2021-09-07 Zhanhao Peng , Qing Zhou

Modern graph embedding procedures can efficiently process graphs with millions of nodes. In this paper, we propose GEMSEC -- a graph embedding algorithm which learns a clustering of the nodes simultaneously with computing their embedding.…

社会与信息网络 · 计算机科学 2019-07-26 Benedek Rozemberczki , Ryan Davies , Rik Sarkar , Charles Sutton

Dynamic networks, especially those representing social networks, undergo constant evolution of their community structure over time. Nodes can migrate between different communities, communities can split into multiple new communities,…

社会与信息网络 · 计算机科学 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader

The task of \emph{community detection} in a graph formalizes the intuitive task of grouping together subsets of vertices such that vertices within clusters are connected tighter than those in disparate clusters. This paper approaches…

社会与信息网络 · 计算机科学 2015-10-12 Ramezan Paravi Torghabeh , Narayana Prasad Santhanam

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

社会与信息网络 · 计算机科学 2024-03-01 Guillaume Braun , Masashi Sugiyama

We introduce block-tree graphs as a framework for deriving efficient algorithms on graphical models. We define block-tree graphs as a tree-structured graph where each node is a cluster of nodes such that the clusters in the graph are…

机器学习 · 统计学 2010-11-16 Divyanshu Vats , Jose M. F. Moura

We propose and analyze a generic method for community recovery in stochastic block models and degree corrected block models. This approach can exactly recover the hidden communities with high probability when the expected node degrees are…

机器学习 · 统计学 2019-10-01 Jing Lei , Lingxue Zhu

The joint use of node features and network topology to detect communities is called community detection in attributed networks. Most of the existing work along this line has been carried out through objective function optimization and has…

社会与信息网络 · 计算机科学 2022-07-12 Guangliang Gao , Weichao Liang , Ming Yuan , Hanwei Qian , Qun Wang , Jie Cao