Skip to main content

Detecting Multiple Stochastic Network Motifs in Network Data

  • Conference paper
Advances in Knowledge Discovery and Data Mining (PAKDD 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7302))

Included in the following conference series:

Abstract

Network motif detection methods are known to be important for studying the structural properties embedded in network data. Extending them to stochastic ones help capture the interaction uncertainties in stochastic networks. In this paper, we propose a finite mixture model to detect multiple stochastic motifs in network data with the conjecture that interactions to be modeled in the motifs are of stochastic nature. Component-wise Expectation Maximization algorithm is employed so that both the optimal number of motifs and the parameters of their corresponding probabilistic models can be estimated. For evaluating the effectiveness of the algorithm, we applied the stochastic motif detection algorithm to both synthetic and benchmark datasets. Also, we discuss how the obtained stochastic motifs could help the domain experts to gain better insights on the over-represented patterns in the network data.

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. Shen-Orr, S., Milo, R., Mangan, S., Alon, U.: Network motifs in the transcrip- tional regulation network of Escherichia coli. Nature Genetics 31(1), 64–68 (2002)

    Article  Google Scholar 

  2. Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovski, D., Alon, U.: Network motifs: Simple building blocks of complex networks. Science 298(5594), 824–827 (2002)

    Article  Google Scholar 

  3. Milo, R., Itzkovitz, S., Kashtan, N., Levitt, R., Shen-Orr, S., Ayzenshtat, I., Sheffer, M., Alon, U.: Superfamilies of evolved and designed networks. Science 303(5663), 1538–1541 (2004)

    Article  Google Scholar 

  4. Mangan, S., Alon, U.: Structure and function of the feedforward loop network motif. PNAS USA 100(21), 11980–11985 (2003)

    Article  Google Scholar 

  5. Berg, J., Michael, L.: Local graph alignment and motif search in biological networks. PNAS USA 101(41), 14689–14694 (2004)

    Article  Google Scholar 

  6. Jiang, R., Tu, Z., Chen, T., Sun, F.: Network motif identification in stochastic networks. PNAS USA 103(25), 9404–9409 (2006)

    Article  Google Scholar 

  7. Kashtan, N., Itzkovitz, S., Milo, R., Alon, U.: Efficient sampling algorithm for estimating subgraph concentrations and detecting network motifs. Bioinformatics 20(11), 1746–1758 (2004)

    Article  Google Scholar 

  8. Juszczyszyn, K., Kazienko, P., Musiał, K.: Local Topology of Social Network Based on Motif Analysis. In: Lovrek, I., Howlett, R.J., Jain, L.C. (eds.) KES 2008, Part II. LNCS (LNAI), vol. 5178, pp. 97–105. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Musial, K., Juszczyszyn, K.: Motif-based analysis of social position influence on interconnection patterns in complex social network. In: Proceedings of First Asian Conference on Intelligent Information and Database Systems, pp. 34–39 (2009)

    Google Scholar 

  10. Jiang, R., Chen, T., Sun, F.: Bayesian models and Gibbs sampling strategies for local graph alignment and motif identification in stochastic biological networks. Communications in Information & Systems 9(4), 347–370 (2009)

    MathSciNet  MATH  Google Scholar 

  11. Liu, K., Cheung, W.K., Liu, J.: Stochastic network motif detection in social media. In: Proceedings of 2011 ICDM Workshop on Data Mining in Networks (2011)

    Google Scholar 

  12. McKay, B.: Nauty user’s guide (version 2.4). Australian National University (2007)

    Google Scholar 

  13. Garey, M., Johnson, D.: Computers and intractability: A guide to the theory of np-completeness. Freeman San Francisco (1979)

    Google Scholar 

  14. Huan, J., Wang, W., Prins, J.: Efficient mining of frequent subgraphs in the presence of isomorphism. In: Proceedings of 2003 IEEE ICDM, pp. 549–552 (2003)

    Google Scholar 

  15. Dempster, A., Laird, N., Rubin, D.: Maximum likelihood from incomplete data via the EM algorithm. J. of the Royal Statistical Society. Series B 39(1), 1–38 (1977)

    MathSciNet  MATH  Google Scholar 

  16. Figueiredo, M., Jain, A.: Unsupervised learning of finite mixture models. IEEE Transactions on PAMI 24(3), 381–396 (2002)

    Article  Google Scholar 

  17. Wallace, C., Dowe, D.: Minimum message length and kolmogorov complexity. The Computer Journal 42(4), 270–283 (1999)

    Article  MATH  Google Scholar 

  18. Leskovec, J., Huttenlocher, D., Kleinberg, J.: Signed networks in social media. In: Proceedings of the 28th International Conference on Human Factors in Computing Systems, pp. 1361–1370 (2010)

    Google Scholar 

  19. Leskovec, J., Adamic, L., Huberman, B.: The dynamics of viral marketing. ACM Transactions on the Web 1(1), 5–44 (2007)

    Article  Google Scholar 

  20. Kumar, N., Satoor, S., Buck, I.: Fast parallel expectation maximization for gaussian mixture models on gpus using cuda. In: 11th International Conference on High Performance Computing and Communications, pp. 103–109 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, K., Cheung, W.K., Liu, J. (2012). Detecting Multiple Stochastic Network Motifs in Network Data. In: Tan, PN., Chawla, S., Ho, C.K., Bailey, J. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2012. Lecture Notes in Computer Science(), vol 7302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30220-6_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30220-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30219-0

  • Online ISBN: 978-3-642-30220-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics