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Community detection is a key tool for analyzing the structure of large networks. Standard methods, such as modularity optimization, focus on identifying densely connected groups but often overlook natural local separations in the graph. In…

Social and Information Networks · Computer Science 2025-04-22 Sarah Frenkel , Johannes Carmesin

In this paper, we consider the community detection problem under either the stochastic block model (SBM) assumption or the degree-correlated stochastic block model (DCSBM) assumption. The modularity maximization formulation for the…

Optimization and Control · Mathematics 2017-08-04 Junyu Zhang , Haoyang Liu , Zaiwen Wen , Shuzhong Zhang

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

One key challenge in Social Network Analysis is to design an efficient and accurate community detection procedure as a means to discover intrinsic structures and extract relevant information. In this paper, we introduce a novel strategy…

Social and Information Networks · Computer Science 2019-02-11 Mohamed-Hamza Ibrahim , Rokia Missaoui , Abir Messaoudi

The problem of finding the spatial-aware community for a given node has been defined and investigated in geo-social networks. However, existing studies suffer from two limitations: a) the criteria of defining communities are determined by…

Social and Information Networks · Computer Science 2022-03-30 Li Ni , Hefei Xu , Yiwen Zhang , Wenjian Luo

We compare recent approaches to community structure identification in terms of sensitivity and computational cost. The recently proposed modularity measure is revisited and the performance of the methods as applied to ad hoc networks with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leon Danon , Jordi Duch , Albert Diaz-Guilera , Alex Arenas

Low modularity networks (Q < 0.2) challenge classical community detection algorithms, which get trapped in local optima. We introduce quantum inspired community detection algorithms leveraging non classical sampling techniques to escape…

Quantum Physics · Physics 2025-09-05 Joseph Geraci , Luca Pani

Massive network datasets are becoming increasingly common in scientific applications. Existing community detection methods encounter significant computational challenges for such massive networks due to two reasons. First, the full network…

Methodology · Statistics 2025-03-24 Subhankar Bhadra , Marianna Pensky , Srijan Sengupta

A common data mining task on networks is community detection, which seeks an unsupervised decomposition of a network into structural groups based on statistical regularities in the network's connectivity. Although many methods exist, the No…

Machine Learning · Statistics 2020-08-10 Amir Ghasemian , Homa Hosseinmardi , Aaron Clauset

A relevant, sometimes overlooked, quality criterion for communities in graphs is that they should be well-connected in addition to being edge-dense. Prior work has shown that leading community detection methods can produce poorly-connected…

Social and Information Networks · Computer Science 2025-08-07 The-Anh Vu-Le , Minhyuk Park , Ian Chen , George Chacko , Tandy Warnow

Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

Machine Learning · Statistics 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

Network community detection is usually considered as an unsupervised learning problem. Given a network, the aim is to partition it using some general purpose algorithm. In this paper we instead treat community detection as a hypothesis…

Social and Information Networks · Computer Science 2026-04-22 Rudy Arthur

According to a recent information-theoretical proposal, the problem of defining and identifying communities in networks can be interpreted as a classical communication task over a noisy channel: memberships of nodes are information bits…

Physics and Society · Physics 2018-03-02 Filippo Radicchi

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

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

The discovery of particle filtering methods has enabled the use of nonlinear filtering in a wide array of applications. Unfortunately, the approximation error of particle filters typically grows exponentially in the dimension of the…

Statistics Theory · Mathematics 2015-09-10 Patrick Rebeschini , Ramon van Handel

Recent research has shown that virtually all algorithms aimed at the identification of communities in networks are affected by the same main limitation: the impossibility to detect communities, even when these are well-defined, if the…

Physics and Society · Physics 2014-05-07 Filippo Radicchi

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

Machine Learning · Statistics 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

A precondition for a No Free Lunch theorem is evaluation with a loss function which does not assume a priori superiority of some outputs over others. A previous result for community detection by Peel et al. (2017) relies on a mismatch…

Social and Information Networks · Computer Science 2020-05-22 Arya D. McCarthy , Tongfei Chen , Seth Ebner

Community detection in a complex network is an important problem of much interest in recent years. In general, a community detection algorithm chooses an objective function and captures the communities of the network by optimizing the…

Social and Information Networks · Computer Science 2015-08-27 Suman Saha , Satya P. Ghrera

We suggest a fast method to find possibly overlapping network communities of a desired size and link density. Our method is a natural generalization of the finite-$T$ superparamegnetic Potts clustering introduced by Blatt, Wiseman, and…

Molecular Networks · Quantitative Biology 2009-11-11 I. Ispolatov , I. Mazo , A. Yuryev