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We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point…

Probability · Mathematics 2020-03-20 Emmanuel Abbe , Francois Baccelli , Abishek Sankararaman

A challenging problem in the study of complex systems is that of resolving, without prior information, the emergent, mesoscopic organization determined by groups of units whose dynamical activity is more strongly correlated internally than…

Data Analysis, Statistics and Probability · Physics 2015-04-21 Mel MacMahon , Diego Garlaschelli

Network representations have been effectively employed to analyze complex systems across various areas and applications, leading to the development of network science as a core tool to study systems with multiple components and complex…

Neurons and Cognition · Quantitative Biology 2023-07-25 ItaloIvo Lima Dias Pinto , Javier Omar Garcia , Kanika Bansal

This paper considers the problem of algorithm selection for community detection. The aim of community detection is to identify sets of nodes in a network which are more interconnected relative to their connectivity to the rest of the…

Social and Information Networks · Computer Science 2010-10-27 Leto Peel

Federated Learning is machine learning in the context of a network of clients whilst maintaining data residency and/or privacy constraints. Community detection is the unsupervised discovery of clusters of nodes within graph-structured data.…

Machine Learning · Computer Science 2023-12-15 William Leeney , Ryan McConville

We review and improve a recently introduced method for the detection of communities in complex networks. This method combines spectral properties of some matrices encoding the network topology, with well known hierarchical clustering…

Physics and Society · Physics 2009-11-11 L. Donetti , M. A. Munoz

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

Statistics Theory · Mathematics 2026-01-07 Marios Papamichalis , Regina Ruane

One of the roadmap plans for quantum computers is an integration within HPC ecosystems assigning them a role of accelerators for a variety of computationally hard tasks. However, in the near term, quantum hardware will be in a constant…

Quantum Physics · Physics 2018-10-19 Ruslan Shaydulin , Hayato Ushijima-Mwesigwa , Ilya Safro , Susan Mniszewski , Yuri Alexeev

We show here that the problem of maximizing a family of quantitative functions, encompassing both the modularity (Q-measure) and modularity density (D-measure), for community detection can be uniformly understood as a combinatoric…

Physics and Society · Physics 2015-05-27 Jonathan Q. Jiang , Lisa J. McQuay

New phase transition phenomena have recently been discovered for the stochastic block model, for the special case of two non-overlapping symmetric communities. This gives raise in particular to new algorithmic challenges driven by the…

Probability · Mathematics 2015-04-07 Emmanuel Abbe , Colin Sandon

Community detection, which uncovers closely connected vertex groups in networks, is vital for applications in social networks, recommendation systems, and beyond. Real-world networks often have bipartite structures (vertices in two disjoint…

Social and Information Networks · Computer Science 2025-12-23 Yue Zeng , Rong-Hua Li , Qiangqiang Dai , Guoren Wang

In this paper we take a problem of unsupervised nodes clustering on graphs and show how recent advances in attention models can be applied successfully in a "hard" regime of the problem. We propose an unsupervised algorithm that encodes…

Social and Information Networks · Computer Science 2019-05-27 Ivan Lobov , Sergey Ivanov

Community detection is a fundamental problem in machine learning. While deep learning has shown great promise in many graphrelated tasks, developing neural models for community detection has received surprisingly little attention. The few…

Machine Learning · Computer Science 2019-09-27 Oleksandr Shchur , Stephan Günnemann

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

Multiple-input multiple-output (MIMO) is a key ingredient of next-generation wireless communications. Recently, various MIMO signal detectors based on deep learning techniques and quantum(-inspired) algorithms have been proposed to improve…

Information Theory · Computer Science 2023-07-25 Satoshi Takabe

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen

The issue of partitioning a network into communities has attracted a great deal of attention recently. Most authors seem to equate this issue with the one of finding the maximum value of the modularity, as defined by Newman. Since the…

Physics and Society · Physics 2009-11-11 Mika Gustafsson , Anna Lombardi , Michael Hornquist

The problem and implications of community detection in networks have raised a huge attention, for its important applications in both natural and social sciences. A number of algorithms has been developed to solve this problem, addressing…

Social and Information Networks · Computer Science 2014-02-28 Cristian Bisconti , Angelo Corallo , Laura Fortunato , Antonio A. Gentile

Community detection, which involves partitioning nodes within a network, has widespread applications across computational sciences. Modularity-based algorithms identify communities by attempting to maximize the modularity function across…

Social and Information Networks · Computer Science 2024-01-12 Samin Aref , Mahdi Mostajabdaveh

Community detection is of great importance for understand-ing graph structure in social networks. The communities in real-world networks are often overlapped, i.e. some nodes may be a member of multiple clusters. How to uncover the…

Social and Information Networks · Computer Science 2015-01-09 Kuang Zhou , Arnaud Martin , Quan Pan