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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 detection in graphs is crucial for understanding the organization of nodes into densely connected clusters. While numerous strategies have been developed to identify these clusters, the success of community detection can lead to…

Social and Information Networks · Computer Science 2025-09-03 Junyuan Fang , Huimin Liu , Yueqi Peng , Jiajing Wu , Zibin Zheng , Chi K. Tse

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

We consider the problem of community detection or clustering in the labeled Stochastic Block Model (LSBM) with a finite number $K$ of clusters of sizes linearly growing with the global population of items $n$. Every pair of items is labeled…

Probability · Mathematics 2016-05-24 Se-Young Yun , Alexandre Proutiere

The increasing prevalence of network data in a vast variety of fields and the need to extract useful information out of them have spurred fast developments in related models and algorithms. Among the various learning tasks with network…

Methodology · Statistics 2023-04-10 Luyi Shen , Arash Amini , Nathaniel Josephs , Lizhen Lin

The stochastic block model (SBM) with two communities, or equivalently the planted bisection model, is a popular model of random graph exhibiting a cluster behaviour. In the symmetric case, the graph has two equally sized clusters and…

Social and Information Networks · Computer Science 2014-10-29 Emmanuel Abbe , Afonso S. Bandeira , Georgina Hall

The recent years we have seen the rise of graph neural networks for prediction tasks on graphs. One of the dominant architectures is graph attention due to its ability to make predictions using weighted edge features and not only node…

Machine Learning · Computer Science 2022-10-19 Kimon Fountoulakis , Dake He , Silvio Lattanzi , Bryan Perozzi , Anton Tsitsulin , Shenghao Yang

Community detection is the problem of identifying dense communities in networks. Motivated by transitive behavior in social networks ("thy friend is my friend"), an emerging line of work considers spatially-embedded networks, which…

Probability · Mathematics 2025-12-30 Julia Gaudio , Andrew Jin

Many real world networks consist of multiple types of nodes with edges that are heterogeneous in nature. However, most of the existing work for community detection only focused on homogeneous network consisting of a single layer. In this…

Methodology · Statistics 2017-09-19 Fan Yang , Fengshuo Zhang

A deep community in a graph is a connected component that can only be seen after removal of nodes or edges from the rest of the graph. This paper formulates the problem of detecting deep communities as multi-stage node removal that…

Social and Information Networks · Computer Science 2015-10-28 Pin-Yu Chen , Alfred O. Hero

Community detection in large social networks is affected by degree heterogeneity of nodes. The D-SCORE algorithm for directed networks was introduced to reduce this effect by taking the element-wise ratios of the singular vectors of the…

Machine Learning · Statistics 2021-06-01 Zhe Wang , Yingbin Liang , Pengsheng Ji

Community and cluster detection is a popular field of social network analysis. Most algorithms focus on static graphs or series of snapshots. In this paper we present an algorithm, which detects communities in dynamic graphs. The method is…

Social and Information Networks · Computer Science 2016-01-26 Pascal Held , Rudolf Kruse

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

Identifying the number of communities is a fundamental problem in community detection, which has received increasing attention recently. However, rapid advances in technology have led to the emergence of large-scale networks in various…

Methodology · Statistics 2023-04-20 Jiayi Deng , Danyang Huang , Xiangyu Chang , Bo Zhang

The maximization of generalized modularity performs well on networks in which the members of all communities are statistically indistinguishable from each other. However, there is no theory bounding the maximization performance in more…

Social and Information Networks · Computer Science 2020-04-17 Xiaoyan Lu , Brendan Cross , Boleslaw K. Szymanski

Community detection provides invaluable help for various applications, such as marketing and product recommendation. Traditional community detection methods designed for plain networks may not be able to detect communities with homogeneous…

Social and Information Networks · Computer Science 2017-05-11 Peng Wu , Li Pan

Community detection in Social Networks is associated with finding and grouping the most similar nodes inherent in the network. These similar nodes are identified by computing tie strength. Stronger ties indicates higher proximity shared by…

Social and Information Networks · Computer Science 2022-12-22 Soumita Das , Anupam Biswas , Akrati Saxena

We study sharp detection thresholds for degree corrections in Stochastic Block Models in the context of a goodness of fit problem, and explore the effect of the unknown community assignment (a high dimensional nuisance parameter) and the…

Statistics Theory · Mathematics 2019-07-16 Rajarshi Mukherjee , Subhabrata Sen

We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, consider the symmetric stochastic block model with $q$ groups, average degree $d$, and connection…

Probability · Mathematics 2016-07-07 Jess Banks , Cristopher Moore , Joe Neeman , Praneeth Netrapalli

In standard graph clustering/community detection, one is interested in partitioning the graph into more densely connected subsets of nodes. In contrast, the "search" problem of this paper aims to only find the nodes in a "single" such…

Social and Information Networks · Computer Science 2018-06-22 Avik Ray , Sujay Sanghavi , Sanjay Shakkottai
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