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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

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Community detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

Recent advances in machine learning research have produced powerful neural graph embedding methods, which learn useful, low-dimensional vector representations of network data. These neural methods for graph embedding excel in graph machine…

Physics and Society · Physics 2024-11-05 Sadamori Kojaku , Filippo Radicchi , Yong-Yeol Ahn , Santo Fortunato

There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

Social and Information Networks · Computer Science 2011-10-20 Leto Peel

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

Probability · Mathematics 2023-10-26 Emmanuel Abbe

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

We derive rigorous bounds for well-defined community structure in complex networks for a stochastic block model (SBM) benchmark. In particular, we analyze the effect of inter-community "noise" (inter-community edges) on any "community…

Statistical Mechanics · Physics 2014-07-14 Richard K. Darst , David R. Reichman , Peter Ronhovde , Zohar Nussinov

Hypergraphs represent complex systems involving interactions among more than two entities and allow the investigation of higher-order structure and dynamics in complex systems. Node attribute data, which often accompanies network data, can…

Social and Information Networks · Computer Science 2025-05-06 Kazuki Nakajima , Takeaki Uno

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

Machine Learning · Statistics 2017-11-15 Yongjin Park , Joel S. Bader

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

Computer Science and Game Theory · Computer Science 2017-09-01 Radhika Arava

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

Physics and Society · Physics 2015-05-11 Hui-Jia Li , J J. Daniels

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

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

Methodology · Statistics 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

Given a time-evolving network, how can we detect communities over periods of high internal and low external interactions? To address this question we generalize traditional local community detection in graphs to the setting of dynamic…

Social and Information Networks · Computer Science 2017-09-14 Daniel J. DiTursi , Gaurav Ghosh , Petko Bogdanov

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

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

Social relationships can be divided into different classes based on the regularity with which they occur and the similarity among them. Thus, rare and somewhat similar relationships are random and cause noise in a social network, thus…

Social and Information Networks · Computer Science 2018-10-08 Jeancarlo Campos Leão , Michele Amaral Brandão , Pedro O. S. Vaz de Melo , Alberto H. F. Laender

We propose a model for network community detection using topological data analysis, a branch of modern data science that leverages theory from algebraic topology to statistical analysis and machine learning. Specifically, we use cellular…

Social and Information Networks · Computer Science 2023-10-10 Arne Wolf , Anthea Monod
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