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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

In network inference applications, it is often desirable to detect community structure, namely to cluster vertices into groups, or blocks, according to some measure of similarity. Beyond mere adjacency matrices, many real networks also…

Social and Information Networks · Computer Science 2021-08-06 Cong Mu , Angelo Mele , Lingxin Hao , Joshua Cape , Avanti Athreya , Carey E. Priebe

Local network community detection is the task of finding a single community of nodes concentrated around few given seed nodes in a localized way. Conductance is a popular objective function used in many algorithms for local community…

Social and Information Networks · Computer Science 2016-08-18 Twan van Laarhoven , Elena Marchiori

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

The bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

Machine Learning · Statistics 2023-05-31 Huan Qing , Jingli Wang

We investigate how to select the number of communities for weighted networks without a full likelihood modeling. First, we propose a novel weighted degree-corrected stochastic block model (DCSBM), where the mean adjacency matrix is modeled…

Methodology · Statistics 2025-03-12 Yucheng Liu , Xiaodong Li

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

Community detection is expensive, and the cost generally depends at least linearly on the number of vertices in the graph. We propose working with a reduced graph that has many fewer nodes but nonetheless captures key community structure.…

Physics and Society · Physics 2014-10-14 Chengbin Peng , Tamara G. Kolda , Ali Pinar

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Community detection is a fundamental task in data analysis, and block models provide an approach for identifying a wide variety of community structures while offering high interpretability. The degree-corrected block model (DCBM) is an…

Social and Information Networks · Computer Science 2026-04-29 Alexandra Dache , Arnaud Vandaele , Nicolas Gillis

Proximity measures on graphs have a variety of applications in network analysis, including community detection. Previously they have been mainly studied in the context of networks without attributes. If node attributes are taken into…

Social and Information Networks · Computer Science 2022-12-06 Rinat Aynulin , Pavel Chebotarev

While there have been numerous sequential algorithms developed to estimate community structure in networks, there is little available guidance and study of what significance level or stopping parameter to use in these sequential testing…

Methodology · Statistics 2022-09-19 Riddhi Pratim Ghosh , Ian Barnett

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

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

Community detection and link prediction are both of great significance in network analysis, which provide very valuable insights into topological structures of the network from different perspectives. In this paper, we propose a novel…

Social and Information Networks · Computer Science 2017-07-11 Hui-Min Cheng , Yi-Zi Ning , Zhao Yin , Chao Yan , Xin Liu , Zhong-Yuan Zhang

Empirical observations suggest that in practice, community membership does not completely explain the dependency between the edges of an observation graph. The residual dependence of the graph edges are modeled in this paper, to first…

Social and Information Networks · Computer Science 2023-01-11 Mohammad Esmaeili , Aria Nosratinia

We study community detection in the \emph{symmetric $k$-stochastic block model}, where $n$ nodes are evenly partitioned into $k$ clusters with intra- and inter-cluster connection probabilities $p$ and $q$, respectively. Our main result is a…

Machine Learning · Statistics 2025-11-21 Jingqiu Ding , Yiding Hua , Kasper Lindberg , David Steurer , Aleksandr Storozhenko

We study the problem of community detection when there is covariate information about the node labels and one observes multiple correlated networks. We provide an asymptotic upper bound on the per-node mutual information as well as a…

Information Theory · Computer Science 2019-12-12 Vaishakhi Mayya , Galen Reeves

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Variational inference has been widely used in machine learning literature to fit various Bayesian models. In network analysis, this method has been successfully applied to solve the community detection problems. Although these results are…

Machine Learning · Statistics 2024-05-22 Xuezhen Li , Can M. Le