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

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.

authors

Bickel PJ,Chen A

doi

10.1073/pnas.0907096106

subject

Has Abstract

pub_date

2009-12-15 00:00:00

pages

21068-73

issue

50

eissn

0027-8424

issn

1091-6490

pii

0907096106

journal_volume

106

pub_type

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