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Measuring structural similarity in large online networks.

Yongren Shi1, Michael Macy1

  • 1Cornell University, USA.

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|August 3, 2016
PubMed
Summary

The Standardized Co-incident Ratio (SCR) accurately maps affiliations in large networks, unlike biased Jaccard or cosine similarity measures. This method reveals cultural alignments using social media data.

Keywords:
BipartiteCo-followingCosine similarityJaccardTwitter

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Area of Science:

  • Social Network Analysis
  • Computational Social Science
  • Data Mining

Background:

  • Bipartite graphs are used for community detection, but existing methods struggle with massive online networks.
  • Scalability is crucial for networks with millions of nodes and skewed degree distributions.

Purpose of the Study:

  • To evaluate the scalability and bias of structural similarity measures in large networks.
  • To introduce and validate the Standardized Co-incident Ratio (SCR) as an unbiased measure.
  • To demonstrate the application of SCR in mapping affiliations using social media data.

Main Methods:

  • Simulation analysis of Jaccard index and cosine similarity on web-scale networks.
  • Development and application of the Standardized Co-incident Ratio (SCR).
  • Analysis of co-following data on Twitter for members of Congress, musical artists, and sports teams.

Main Results:

  • Jaccard index and cosine similarity are biased by out-degree distribution in large networks.
  • The Standardized Co-incident Ratio (SCR) provides an unbiased measure of structural similarity.
  • SCR successfully mapped meaningful affiliations among cultural entities using Twitter co-following data.

Conclusions:

  • SCR is a scalable and unbiased method for detecting structural similarity in massive networks.
  • Social media data, analyzed with SCR, offers valuable insights into cultural, political, and organizational alignments.
  • This approach enhances the study of social and behavioral sciences through large-scale data analysis.