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Community detection in networks has drawn much attention in diverse fields, especially social sciences. Given its significance, there has been a large body of literature with approaches from many fields. Here we present a statistical…

Methodology · Statistics 2014-12-18 Lijun Peng , Luis Carvalho

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

Social and Information Networks · Computer Science 2014-02-20 Se-Young Yun , Alexandre Proutiere

Community detection, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

Statistics Theory · Mathematics 2015-06-04 T. Tony Cai , Xiaodong Li

Modern network analysis often involves multi-layer network data in which the nodes are aligned, and the edges on each layer represent one of the multiple relations among the nodes. Current literature on multi-layer network data is mostly…

Statistics Theory · Mathematics 2024-06-18 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

We consider the problem of estimating overlapping community memberships in a network, where each node can belong to multiple communities. More than a few communities per node are difficult to both estimate and interpret, so we focus on…

Social and Information Networks · Computer Science 2021-06-23 Jesús Arroyo , Elizaveta Levina

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

Social and Information Networks · Computer Science 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

The Degree-Corrected Stochastic Block Model (DCSBM) is a popular model to generate random graphs with community structure given an expected degree sequence. The standard approach of community detection based on the DCSBM is to search for…

Social and Information Networks · Computer Science 2021-05-05 Breno Serrano , Thibaut Vidal

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

We propose a new local community detection algorithm that finds communities by identifying borderlines between them using boundary nodes. Our method performs label propagation for community detection, where nodes decide their labels based…

Physics and Society · Physics 2018-10-17 Mursel Tasgin , Haluk O. Bingol

In bipartite networks, community structures are restricted to being disassortative, in that nodes of one type are grouped according to common patterns of connection with nodes of the other type. This makes the stochastic block model (SBM),…

Physics and Society · Physics 2020-09-30 Tzu-Chi Yen , Daniel B. Larremore

Community detection in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

Probability · Mathematics 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

Based on the classical Degree Corrected Stochastic Blockmodel (DCSBM) model for network community detection problem, we propose two novel approaches: principal component clustering (PCC) and normalized principal component clustering (NPCC).…

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

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

Social and Information Networks · Computer Science 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

Community search is a widely studied semi-supervised graph clustering problem, retrieving a high-quality connected subgraph containing the user-specified query vertex. However, existing methods primarily focus on cohesiveness within the…

Social and Information Networks · Computer Science 2025-08-05 Longlong Lin , Yue He , Wei Chen , Pingpeng Yuan , Rong-Hua Li , Tao Jia

In this work, we study the problem of community detection in the stochastic block model with adversarial node corruptions. Our main result is an efficient algorithm that can tolerate an $\epsilon$-fraction of corruptions and achieves error…

Data Structures and Algorithms · Computer Science 2022-07-26 Allen Liu , Ankur Moitra

In this paper we propose methodology for inference of binary-valued adjacency matrices from various measures of the strength of association between pairs of network nodes, or more generally pairs of variables. This strength of association…

Applications · Statistics 2016-05-16 Thomas E. Bartlett

Real-World networks have an inherently dynamic structure and are often composed of communities that are constantly changing in membership. Identifying these communities is of great importance when analyzing structural properties of…

Social and Information Networks · Computer Science 2018-01-22 Nishant Deepak Keni

Community detection, a vital technology for real-world applications, uncovers cohesive node groups (communities) by leveraging both topological and attribute similarities in social networks. However, existing Graph Convolutional Networks…

Social and Information Networks · Computer Science 2025-05-16 Anjali de Silva , Gang Chen , Hui Ma , Seyed Mohammad Nekooei , Xingquan Zuo