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

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          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.

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          Author and article information

          Journal
          Proc Natl Acad Sci U S A
          Proceedings of the National Academy of Sciences of the United States of America
          Proceedings of the National Academy of Sciences
          1091-6490
          0027-8424
          Dec 15 2009
          : 106
          : 50
          Affiliations
          [1 ] University of California, Berkeley, CA 94720, USA. bickel@stat.berkeley.edu
          Article
          0907096106
          10.1073/pnas.0907096106
          2795514
          19934050
          7c05f51a-e707-4dd9-bd49-cac3419115db
          History

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