A Spectral Algorithm with Additive Clustering ...
Document type :
Article dans une revue scientifique
Title :
A Spectral Algorithm with Additive Clustering for the Recovery of Overlapping Communities in Networks
Author(s) :
Kaufmann, Emilie [Auteur]
Sequential Learning [SEQUEL]
Bonald, Thomas [Auteur]
Laboratoire Traitement et Communication de l'Information [LTCI]
Laboratory of Information, Network and Communication Sciences [LINCS]
Lelarge, Marc [Auteur]
Dynamics of Geometric Networks [DYOGENE]
Laboratory of Information, Network and Communication Sciences [LINCS]

Sequential Learning [SEQUEL]
Bonald, Thomas [Auteur]
Laboratoire Traitement et Communication de l'Information [LTCI]
Laboratory of Information, Network and Communication Sciences [LINCS]
Lelarge, Marc [Auteur]
Dynamics of Geometric Networks [DYOGENE]
Laboratory of Information, Network and Communication Sciences [LINCS]
Journal title :
Theoretical Computer Science
Pages :
3-26
Publisher :
Elsevier
Publication date :
2018-09-19
ISSN :
1879-2294
English keyword(s) :
Community detection
Stochastic blockmodel
Stochastic blockmodel
HAL domain(s) :
Statistiques [stat]/Machine Learning [stat.ML]
Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Probabilités [math.PR]
English abstract : [en]
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 ...
Show more >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 graph model that we call stochastic blockmodel with overlap (SBMO). An adaptive version of the algorithm, that does not require the knowledge of the number of hidden communities, is proved to be consistent under the SBMO when the degrees in the graph are (slightly more than) logarithmic. The algorithm is shown to perform well on simulated data and on real-world graphs with known overlapping communities.Show less >
Show more >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 graph model that we call stochastic blockmodel with overlap (SBMO). An adaptive version of the algorithm, that does not require the knowledge of the number of hidden communities, is proved to be consistent under the SBMO when the degrees in the graph are (slightly more than) logarithmic. The algorithm is shown to perform well on simulated data and on real-world graphs with known overlapping communities.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
ANR Project :
Collections :
Source :
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