Encyclopedia of Social Network Analysis and Mining

2014 Edition
| Editors: Reda Alhajj, Jon Rokne

Link Prediction: A Primer

  • Nitesh V. Chawla
  • Yang Yang
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-6170-8_365



Common Neighbors

For two nodes, u and v, the set of their common neighbors is defined as N = Γ(u) ∩ Γ(v), and correspondingly the size of set N is |Γ(u) ∩ Γ(v)| (Newman 2001)

Jaccard Coefficient

Jaccard coefficient (Liben-Norwell and Kleinberg 2007) is a normalization of the common neighbors metric, which is defined as \(JC(u, v) = \frac{|\Gamma(u) \cap \Gamma(v)|}{|\Gamma(u) \cup \Gamma(v)|}\)

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  1. Adamic LA, Adar E (2003) Friends and neighbors on the web. Soc Netw 25(3):211–230Google Scholar
  2. Barabasi A-L, Jeong H, Neda Z, Ravasz E (2002) Evolution of the social network of scientific collaboration. Phys A 311(3–4):590–614zbMATHMathSciNetGoogle Scholar
  3. Clause A, Moore C, Newman MEJ (2008) Hierarchical structure and the prediction of missing links in network. Nature 453:98–101Google Scholar
  4. Davis D, Chawla NV (2011) Exploring and exploiting disease interactions from multi-relational gene and phenotype networks. PLoS One 6(7):e22670Google Scholar
  5. Davis D, Lichtenwalter R, Chawla NV (2011) Multi-relational link prediction in heterogeneous information networks. In: ASONAM'11, KaohsiungGoogle Scholar
  6. Deng H, Han J, Zhao B, Yu Y, Lin CX (2011) Probabilistic topic models with biased propagation on heterogeneous information networks. In: KDD'11, San DiegoGoogle Scholar
  7. Dong Y, Tang J, Wu S, Tian J, Chawla NV, Rao J, Gao H (2012) Link prediction and recommendation across heterogeneous social networks. In: ICDM'12, BerlinGoogle Scholar
  8. Horvat E-A, Hanselmann M, Hamprecht FA, Zweig KA (2012) One plus one makes three (for social networks). PLoS One 4:121–134Google Scholar
  9. Kashima H, Abe N (2006) A parameterized probabilistic model of network evolution for supervised link prediction. In: ICDM'06, LeipzigGoogle Scholar
  10. Katz L (1953) A new status index derived from sociometric analysis. Psychometrika 18(1):39–43zbMATHGoogle Scholar
  11. Kunegis J, Lommatzsch A (2009) Learning spectral graph transformations for link prediction. In: ICML'09, MontrealGoogle Scholar
  12. Liben-Nowell D, Kleinberg J (2007) The link prediction problem for social networks. J Am Soc Inf Sci Technol 58(7):1019–1031Google Scholar
  13. Lichtenwalter R, Chawla NV (2012) Vertex collocation profile: subgraph counting for link analysis and prediction. In: WWW'12, LyonGoogle Scholar
  14. Lichtenwalter R, Lussier J, Chawla NV (2010) New perspectives and methods in link prediction. In: KDD'10, WashingtonGoogle Scholar
  15. Liu Y, Kou Z (2007) Predicting who rated what in large scale datasets. In: SIGKDD Exploration Newsletter 9:62–65Google Scholar
  16. Menon AK, Elkan C (2011) Link prediction via matrix factorization. In: ECML-PKDD'11, AthensGoogle Scholar
  17. Murata T, Moriyasu S (2007) Link prediction of social networks based on weighted proximity measures. In: IEEE/WIC/ACM ICWI'07, Vila RealGoogle Scholar
  18. Newman MEJ (2001) Clustering and preferential attachment in growing networks. Phys Rev Lett E 64:025102Google Scholar
  19. Qiu B, He Qi, Yen J (2011) Evolution of node behavior in link prediction. In: AAAI'11, San FranciscoGoogle Scholar
  20. Scellato S, Noulas A, Mascolo C (2011) Exploiting place features in link prediction on location-based social networks. In: KDD'11, San DiegoGoogle Scholar
  21. Sun Y, Barber R, Gupta M, Aggarwal CC, Han J (2011) Co-author relationship prediction in heterogeneous bibliographic networks. In: ASONAM'11, KaohsiungGoogle Scholar
  22. Sun Y, Han J, Aggarwal CC, Chawla NV (2012) When will it happen? Relationship prediction in heterogeneous information networks. In: WSDM'12, SeattleGoogle Scholar
  23. Taskar B, Wong M-F, Abbeel P, Koller D (2003) Link prediction in relational data. In: NIP, Acapulco, MexicoGoogle Scholar
  24. Viswanath B, Mislove A, Cha M, Gummadi KP (2009) On the evolution of user interaction in facebook. In: WSON'09, New York, NY, USAGoogle Scholar
  25. Wang C, Satuluri V, Parthasarathy S (2007) Local probabilistic models for link prediction. In: ICDM'07, OmahaGoogle Scholar
  26. Yang Y, Chawla NV, Sun Y, Han J (2012) Predicting links in multi-relational and heterogeneous networks. In: ICDM'12, BrusselsGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Nitesh V. Chawla
    • 1
  • Yang Yang
    • 2
  1. 1.Department of Computer Science and Engineering, Interdisciplinary Center for Network Science and Applications (iCeNSA), University of Notre DameNotre DameUSA
  2. 2.Department of Computer Science and Engineering, University of Notre DameNotre Dame, INUSA