Skip to main content

Link Prediction in Complex Networks Based on Cluster Information

  • Conference paper
Advances in Artificial Intelligence - SBIA 2012 (SBIA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7589))

Included in the following conference series:

Abstract

Cluster in graphs is densely connected group of vertices sparsely connected to other groups. Hence, for prediction of a future link between a pair of vertices, these vertices common neighbors may play different roles depending on if they belong or not to the same cluster. Based on that, we propose a new measure (WIC) for link prediction between a pair of vertices considering the sets of their intra-cluster or within-cluster (W) and between-cluster or inter-cluster (IC) common neighbors. Also, we propose a set of measures, referred to as W forms, using only the set given by the within-cluster common neighbors instead of using the set of all common neighbors as usually considered in the basic local similarity measures. Consequently, a previous clustering scheme must be applied on the graph. Using three different clustering algorithms, we compared WIC measure with ten basic local similarity measures and their counterpart W forms on ten real networks. Our analyses suggest that clustering information, no matter the clustering algorithm used, improves link prediction accuracy.

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 49.99
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. Ackland, R.: Mapping the US political blogosphere: Are conservative bloggers more prominent? Presentation to BlogTalk, Downunder, Sydney (2005)

    Google Scholar 

  2. Batageli, V., Mrvar, A.: Pajek datasets (2006), http://vlado.fmf.uni-lj.si/pub/networks/data/mix/usair97.net

  3. Bertini, J., Lopes, A., Zhao, L.: Partially labeled data stream classification with the semi-supervised K-associated graph. Journal of the Brazilian Computer Society, 1–12 (2012)

    Google Scholar 

  4. Bertini, J., Zhao, L., Motta, R., Lopes, A.: A nonparametric classification method based on k-associated graphs. Information Sciences 181(24), 5435–5456 (2011)

    Article  MathSciNet  Google Scholar 

  5. Blum, A., Chawla, S.: Learning from labeled and unlabeled data using graph mincuts. In: ICML, pp. 19–26 (2001)

    Google Scholar 

  6. Clauset, A., Newman, M.E.J., Moore, C.: Finding community structure in very large networks. Phys. Rev. E 70, 066111 (2004)

    Article  Google Scholar 

  7. Demsar, J.: Statistical comparisons of classifiers over multiple data sets. JMLR 7, 1–30 (2006)

    MATH  MathSciNet  Google Scholar 

  8. Fawcett, T., Provost, F.: Activity monitoring: Noticing interesting changes in behavior. In: Proc. of the Fifth ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, pp. 53–62 (1999)

    Google Scholar 

  9. Feng, X., Zhao, J.C., Xu, K.: Link prediction in complex networks: a clustering perspective. Eur. Phys. J. B 85(1-3) (2012)

    Google Scholar 

  10. Girvan, M., Newman, M.E.J.: Community structure in social and biological networks. PNAS 99(12), 7821–7826 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  11. Hastie, T., Tibshirani, R., Friedman, J.: The elements of statistical learning: data mining, inference and prediction, 2nd edn. Springer (2009)

    Google Scholar 

  12. Laguna, V., Lopes, A.: Combining local and global knn with cotraining. In: ECAI 2010 - 19th European Conference on Artificial Intelligence, vol. 215, pp. 815–820. IOS Press, Netherlands (2010)

    Google Scholar 

  13. Liben-Nowell, D., Kleinberg, J.: The link-prediction problem for social networks. JASIST 58(7), 1019–1031 (2007)

    Article  Google Scholar 

  14. Lichtenwalter, R.N., Chawla, N.V.: Lpmade: Link prediction made easy. JMLR 12, 2489–2492 (2011)

    MATH  Google Scholar 

  15. Liu, Z., Zhang, Q.-M., Lü, L., Zhou, T.: Link prediction in complex networks: A local naive bayes model. EPL 96(48007) (2011)

    Google Scholar 

  16. Lopes, A.A., Bertini Jr., J.R., Motta, R., Zhao, L.: Classification Based on the Optimal K-Associated Network. In: Zhou, J. (ed.) Complex 2009. LNICST, vol. 4, pp. 1167–1177. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  17. Lorrain, F., White, H.C.: Structural equivalence of individuals in social networks. Journal of Mathematical Sociology 1, 49–80 (1971)

    Article  Google Scholar 

  18. Lü, L., Zhou, T.: Link prediction in complex networks: A survey. Physica A: Statistical Mechanics and its Applications 390(6), 1150–1170 (2011)

    Article  Google Scholar 

  19. Lu, Q., Getoor, L.: Link-based classification. In: ICML, pp. 496–503 (2003)

    Google Scholar 

  20. Motta, R., de Andrade Lopes, A., de Oliveira, M.C.F.: Centrality Measures from Complex Networks in Active Learning. In: Gama, J., Costa, V.S., Jorge, A.M., Brazdil, P.B. (eds.) DS 2009. LNCS, vol. 5808, pp. 184–196. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Neville, J., Jensen, D., Friedland, L., Hay, M.: Learning relational probability trees. In: KDD, pp. 625–630 (2003)

    Google Scholar 

  22. Newman, M.E.J.: The structure and function of complex networks. SIAM Review (45), 167–256 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  23. Newman, M.E.J.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E 74, 036104 (2006)

    Article  Google Scholar 

  24. Pons, P., Latapy, M.: Computing communities in large networks using random walks. J. Graph Algorithms Appl. 10(2), 191–218 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  25. Radicchi, F., Castellano, C., Cecconi, F., Loreto, V., Parisi, D.: Defining and identifying communities in networks. PNAS 101(9), 2658 (2004)

    Article  Google Scholar 

  26. Spring, N., Mahajan, R., Wetherall, D., Anderson, T.: Measuring ISP topologies with rocketfuel. IEEE/ACM Transactions on Networking 12(1), 2–16 (2004)

    Article  Google Scholar 

  27. von Mering, C., Krause, R., Snel, B., Cornell, M., Oliver, S.G., Fields, S., Bork, P.: Comparative assessment of large-scale data sets of protein-protein interactions. Nature 417(6887), 399–403 (2002)

    Article  Google Scholar 

  28. Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world networks. Nature 393(6684), 440–442 (1998)

    Article  Google Scholar 

  29. Zachary, W.W.: An information flow model for conflict and fission in small groups. Journal of Anthropological Research 33(4), 452–473 (1977)

    Google Scholar 

  30. Zhou, T., Lü, L., Zhang, Y.-C.: Predicting missing links via local information. Eur. Phys. J. B 71, 623 (2009)

    Article  MATH  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

Valverde-Rebaza, J.C., de Andrade Lopes, A. (2012). Link Prediction in Complex Networks Based on Cluster Information. In: Barros, L.N., Finger, M., Pozo, A.T., Gimenénez-Lugo, G.A., Castilho, M. (eds) Advances in Artificial Intelligence - SBIA 2012. SBIA 2012. Lecture Notes in Computer Science(), vol 7589. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34459-6_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34459-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34458-9

  • Online ISBN: 978-3-642-34459-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics