A nonparametric view of network models and Newman-Girvan and other modularities.

Proceedings of the National Academy of Sciences of the United States of America
Peter J Bickel, Aiyou Chen

Abstract

Prompted by the increasing interest in networks in many fields, we present an attempt at unifying points of view and analyses of these objects coming from the social sciences, statistics, probability and physics communities. We apply our approach to the Newman-Girvan modularity, widely used for "community" detection, among others. Our analysis is asymptotic but we show by simulation and application to real examples that the theory is a reasonable guide to practice.

References

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Citations

Aug 12, 2014·Psychometrika·Michael BruscoCinthia B Satornino
Apr 20, 2011·Proceedings of the National Academy of Sciences of the United States of America·Yunpeng ZhaoJi Zhu
Jun 13, 2012·Bioinformatics·Yongjin Park, Joel S Bader
Jul 12, 2013·Biometrika·D S ChoiE M Airoldi
Apr 6, 2013·Chaos·Danielle S BassettPeter J Mucha
Apr 8, 2014·Social Networks·Michael SchweinbergerDuy Quang Vu
Apr 15, 2014·Journal of Theoretical Biology·Y X Rachel Wang, Haiyan Huang
Nov 28, 2013·Proceedings of the National Academy of Sciences of the United States of America·Florent KrzakalaPan Zhang
Oct 3, 2014·Proceedings of the National Academy of Sciences of the United States of America·Sofia C Olhede, Patrick J Wolfe
Oct 10, 2015·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Shuqin ZhangMichael K Ng
Jan 27, 2015·IEEE Transactions on Automatic Control·Xiaoye JiangLeonidas Guibas
Feb 1, 2012·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Xiao-Fei ZhangXiao-Xin Li
Nov 16, 2013·IEEE Transactions on Pattern Analysis and Machine Intelligence·Daniel L SussmanCarey E Priebe
Apr 24, 2012·Sociological Methods & Research·Cosma Rohilla Shalizi, Andrew C Thomas
Sep 9, 2015·Scientific Reports·István A KovácsPéter Csermely
Dec 5, 2017·Journal of the Royal Statistical Society. Series B, Statistical Methodology·François Caron, Emily B Fox
Sep 10, 2011·Physical Review Letters·Aurelien DecelleLenka Zdeborová
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Brian BallM E J Newman
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu-Teng ChangDimitrios Pantazis
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shuqin Zhang, Hongyu Zhao
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tiago P Peixoto
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shuqin Zhang, Hongyu Zhao
May 1, 2014·Journal of Statistical Mechanics : Theory and Experiment·Xiaoran YanYaojia Zhu
Aug 27, 2016·Physical Review Letters·M E J Newman, Gesine Reinert
Jul 16, 2017·Physical Review. E·Jean-Gabriel YoungLouis J Dubé
Feb 3, 2018·PloS One·Elisa LetiziaFabrizio Lillo
May 20, 2018·Physical Review. E·Tatsuro Kawamoto
Dec 20, 2018·PloS One·Meng J ZhaoWilliam H Woodall
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V A TraagJ-C Delvenne
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Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pin-Yu Chen, Alfred O Hero
May 17, 2017·Physical Review. E·Xuehua ZhaoHuiling Chen
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Nov 10, 2017·Scientific Reports·Thomas E BartlettAaron Diaz
Nov 24, 2018·Journal of the American Statistical Association·Harry Crane, Walter Dempsey
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Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiao ZhangM E J Newman
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marianna Bolla
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tiago P Peixoto
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