Skip to main content

Community Detection on Weighted Networks: A Variational Bayesian Method

  • Conference paper
Book cover Advances in Machine Learning (ACML 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5828))

Included in the following conference series:

Abstract

Massive real-world data are network-structured, such as social network, relationship between proteins and power grid. Discovering the latent communities is a useful way for better understanding the property of a network. In this paper, we present a fast, effective and robust method for community detection. We extend the constrained Stochastic Block Model (conSBM) on weighted networks and use a Bayesian method for both parameter estimation and community number identification. We show how our method utilizes the weight information within the weighted networks, reduces the computation complexity to handle large-scale weighted networks, measure the estimation confidence and automatically identify the community number. We develop a variational Bayesian method for inference and parameter estimation. We demonstrate our method on a synthetic data and three real-world networks. The results illustrate that our method is more effective, robust and much faster.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Girvan, M., Newman, M.: Community structure in social and biological networks. Proc. Natl. Acad. Sci. USA 99(12), 7821–7826 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Reichardt, J., Bornholdt, S.: Statistical mechanics of community detection. Phys. Rev. E 74 (2006)

    Google Scholar 

  3. Newman, M., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69 (2004)

    Google Scholar 

  4. Newman, M.: Detecting community structure in networks. The European Physical Journal B 38, 321–330 (2004)

    Article  Google Scholar 

  5. Danon, L., Duch, J., Diaz-Guilera, A., Arenas, A.: Comparing community structure identification. Journal of Statistical Mechanics: Theory and Experiment 29(09) (2005)

    Google Scholar 

  6. Hoffman, J.M., Wiggin, C.H.: A bayesian approach to network modularity. Phys. Rev. Lett. 100 (2008)

    Google Scholar 

  7. Holland, P.W., Leinhardt, S.: Local structure in social networks. Sociological Methodology, 1–45 (1975)

    Google Scholar 

  8. Nowichi, K., Snijders, T.: Estimation and prediction for stochastic block-structures. Journal of the American Statistical Association 96, 1077–1087 (2001)

    Article  MathSciNet  Google Scholar 

  9. Airoldi, E., Blei, D., Fienberg, S., Xing, E.: Mixed membership stochastic block models for relational data with application to protein-protein interactions. In: ENAR (2006)

    Google Scholar 

  10. Blei, D., Ng, A., Jordan, M.: Latent dirichlet allocation. Journal of Machine Learning Research 3, 993–1022 (2003)

    Article  MATH  Google Scholar 

  11. Chang, J., Blei, D.: Relational topic models for document networks. Artificial Intelligence and Statistics (2009)

    Google Scholar 

  12. Li, F.F., Perona, P.: A bayesian hierarchical model for learning natural scene categories. IEEE Computer Vision and Pattern Recognition (2005)

    Google Scholar 

  13. Airoldi, E., Blei, D., Fienberg, S., Xing, E.: Mixed membership stochastic blockmodels. Journal of Machine Learning Research 9, 1981–2014 (2008)

    Google Scholar 

  14. Mariadassou, M., Robin, S.: Uncovering latent structure in valued graphs: a variational approach. SSB-RR 10 (2007)

    Google Scholar 

  15. Shan, H., Banerjee, A.: Bayesian co-clustering. Techique Report (2008)

    Google Scholar 

  16. Sinkkonen, J., Aukia, J., Kaski, S.: Component models for large networks (2008)

    Google Scholar 

  17. Zhang, H., Qiu, B., Lee Giles, C., Foley, H.C., Yen, J.: An ldea-based community structure discovery approach for large-scale social networks. In: IEEE International Conference on Intelligence and Security Informatics (2007)

    Google Scholar 

  18. Jordan, M., Ghahramani, Z., Jaakkola, T., Saul, L.: An introduction to variational methods for graphical models. Machine Learning 37 (1999)

    Google Scholar 

  19. Kumpula, J., Saramäki, J., Kaski, K., Kertesz, J.: Limited resolution and multiresolution methods in complex network community detection. Eur. Phys. J. B 56, 41 (2007)

    Article  Google Scholar 

  20. Opgen-Rhein, R., Strimmer, K.: Inferring gene dependency network from genomic longitudinal data: a functinonal data approach. REVSTAT 4, 53–65 (2006)

    MATH  MathSciNet  Google Scholar 

  21. Robin, S., Mariadassou, M.: Uncovering latent structure in valued graphs: a variational approach, http://carlit.toulouse.inra.fr/MSTGA/Reunion_nov2008/Stephane.pdf

  22. Newman, M.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E 74(3) (2006)

    Google Scholar 

  23. Nelson, D., McEvoy, C., Schreiber, T.: The university of south florida word association, rhyme, and word fragmentnorms, University of South Florida, Tampa (1999) (unpublished manuscript)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jiang, Q., Zhang, Y., Sun, M. (2009). Community Detection on Weighted Networks: A Variational Bayesian Method. In: Zhou, ZH., Washio, T. (eds) Advances in Machine Learning. ACML 2009. Lecture Notes in Computer Science(), vol 5828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05224-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-05224-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05223-1

  • Online ISBN: 978-3-642-05224-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics