Skip to main content

A Parallel Method for All-Pair SimRank Similarity Computation

  • Conference paper
  • First Online:
Algorithms and Architectures for Parallel Processing (ICA3PP 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11334))

Abstract

How to measure SimRank similarity of all-pair vertices in a graph is a very important research topic which has a wide range of applications in many fields. However, computation of SimRank is costly in both time and space, making traditional computing methods failing to handle graph data of ever-growing size.

This paper proposes a parallel multi-level solution for all-pair SimRank similarity computing on large graphs. We partition the objective graph first with the idea of modularity maximization and get a collapsed graph based on the blocks. Then we compute the similarities between verteices inside a block as well as the similarities between the blocks. In the end, we integrate these two types of similarities and calculate the approximate SimRank simlarities between all vertex pairs. The method is implemented on Spark platform and it makes an improvement on time efficiency while maintaining the effectiveness compared to SimRank.

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 EPUB and 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

Notes

  1. 1.

    https://snap.stanford.edu/data/wiki-topcats.html.

References

  1. Antonellis, I., Garcia-Molina, H., Chang, C.: SimRank++: query rewriting through link analysis of the click graph. PVLDB 1(1), 408–421 (2008)

    Google Scholar 

  2. Baeza-Yates, R., Ribeiro-Neto, B., et al.: Modern Information Retrieval, vol. 463. ACM Press, New York (1999)

    Google Scholar 

  3. Bhattacharya, I., Getoor, L.: Entity resolution in graphs. In: Mining Graph Data, p. 311 (2006)

    Google Scholar 

  4. Bui, T.N., Moon, B.R.: Genetic algorithm and graph partitioning. IEEE Trans. Comput. 45(7), 841–855 (1996)

    Article  MathSciNet  Google Scholar 

  5. Cao, L., Cho, B., Kim, H.D., Li, Z., Tsai, M.H., Gupta, I.: Delta-SimRank computing on MapReduce. In: Proceedings of the 1st International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications, pp. 28–35. ACM (2012)

    Google Scholar 

  6. Dean, J., Ghemawat, S.: MapReduce: simplified data processing on large clusters. In: OSDI, pp. 137–150. USENIX Association (2004)

    Google Scholar 

  7. Dean, J., Henzinger, M.R.: Finding related pages in the world wide web. Comput. Netw. 31(11), 1467–1479 (1999)

    Article  Google Scholar 

  8. Dice, L.R.: Measures of the amount of ecologic association between species. Ecology 26(3), 297–302 (1945)

    Article  Google Scholar 

  9. Fiduccia, C.M., Mattheyses, R.M.: A linear-time heuristic for improving network partitions. Papers on Twenty-Five Years of Electronic Design Automation, pp. 241–247. ACM (1988)

    Google Scholar 

  10. Fouss, F., Pirotte, A., Renders, J.M., Saerens, M.: Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation. IEEE Trans. Knowl. Data Eng. 19(3), 355–369 (2007)

    Article  Google Scholar 

  11. He, G., Feng, H., Li, C., Chen, H.: Parallel SimRank computation on large graphs with iterative aggregation. In: Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 543–552. ACM (2010)

    Google Scholar 

  12. Hendrickson, B., Leland, R.W.: An improved spectral graph partitioning algorithm for mapping parallel computations. SIAM J. Sci. Comput. 16(2), 452–469 (1995)

    Article  MathSciNet  Google Scholar 

  13. Jaccard, P.: Etude comparative de la distribution florale dans uneportion des Alpes et du Jura. Impr. Corbaz (1901)

    Google Scholar 

  14. Jeh, G., Widom, J.: SimRank: a measure of structural-context similarity. In: Proceedings of the Eighth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 538–543. ACM (2002)

    Google Scholar 

  15. Johnson, D.S., Aragon, C.R., McGeoch, L.A., Schevon, C.: Optimization by simulated annealing: an experimental evaluation; part I, graph partitioning. Oper. Res. 37(6), 865–892 (1989)

    Article  Google Scholar 

  16. Kamvar, S., Haveliwala, T., Manning, C., Golub, G.: Exploiting the block structure of the web for computing PageRank. Technical report 2003-17, Stanford InfoLab (2003)

    Google Scholar 

  17. Karypis, G., Kumar, V.: METIS - unstructured graph partitioning and sparse matrix ordering system, version 2.0. Technical report (1995)

    Google Scholar 

  18. Kaufman, L., Rousseeuw, P.: Finding Groups in Data: An Introduction to Cluster Analysis. Wiley, Hoboken (1990)

    Book  Google Scholar 

  19. Kernighan, B.W., Lin, S.: An efficient heuristic procedure for partitioning graphs. Bell Syst. Tech. J. 49(2), 291–307 (1970)

    Article  Google Scholar 

  20. Kusumoto, M., Maehara, T., Kawarabayashi, K.I.: Scalable similarity search for SimRank. In: Proceedings of the 2014 ACM SIGMOD International Conference on Management of Data, pp. 325–336. ACM (2014)

    Google Scholar 

  21. Li, C., et al.: Fast computation of SimRank for static and dynamic information networks. In: Proceedings of the 13th International Conference on Extending Database Technology, pp. 465–476. ACM (2010)

    Google Scholar 

  22. Li, L., Li, C., Chen, H., Du, X.: MapReduce-based SimRank computation and its application in social recommender system. In: BigData Congress, pp. 133–140. IEEE Computer Society (2013)

    Google Scholar 

  23. Li, Z., Fang, Y., Liu, Q., Cheng, J., Cheng, R., Lui, J.C.S.: Walking in the cloud: parallel SimRank at scale. PVLDB 9(1), 24–35 (2015)

    Google Scholar 

  24. Lizorkin, D., Velikhov, P., Grinev, M., Turdakov, D.: Accuracy estimate and optimization techniques for SimRank computation. Proc. VLDB Endow. 1(1), 422–433 (2008)

    Article  Google Scholar 

  25. Maehara, T., Kusumoto, M., Kawarabayashi, K.: Efficient SimRank computation via linearization. CoRR abs/1411.7228 (2014)

    Google Scholar 

  26. Newman, M.E.: Modularity and community structure in networks. Proc. Nat. Acad. Sci. 103(23), 8577–8582 (2006)

    Article  Google Scholar 

  27. Page, L., Brin, S., Motwani, R., Winograd, T.: The PageRank citation ranking: bringing order to the web (1999)

    Google Scholar 

  28. Rothe, S., Schütze, H.: CoSimRank: a flexible & efficient graph-theoretic similarity measure. In: ACL (1), pp. 1392–1402. The Association for Computer Linguistics (2014)

    Google Scholar 

  29. Yu, W., Lin, X., Zhang, W.: Towards efficient SimRank computation on large networks. In: 2013 IEEE 29th International Conference on Data Engineering (ICDE), pp. 601–612. IEEE (2013)

    Google Scholar 

  30. Yu, W., Zhang, W., Lin, X., Zhang, Q., Le, J.: A space and time efficient algorithm for SimRank computation. World Wide Web 15(3), 327–353 (2012)

    Article  Google Scholar 

  31. Zaharia, M., Chowdhury, M., Franklin, M.J., Shenker, S., Stoica, I.: Spark: cluster computing with working sets. In: HotCloud. USENIX Association (2010)

    Google Scholar 

  32. Zhao, P., Han, J., Sun, Y.: P-rank: a comprehensive structural similarity measure over information networks. In: CIKM, pp. 553–562. ACM (2009)

    Google Scholar 

  33. Zhu, R., Zou, Z., Li, J.: SimRank computation on uncertain graphs. In: ICDE, pp. 565–576. IEEE Computer Society (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jie Tang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Huang, X., Gao, X., Tang, J., Wu, G. (2018). A Parallel Method for All-Pair SimRank Similarity Computation. In: Vaidya, J., Li, J. (eds) Algorithms and Architectures for Parallel Processing. ICA3PP 2018. Lecture Notes in Computer Science(), vol 11334. Springer, Cham. https://doi.org/10.1007/978-3-030-05051-1_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-05051-1_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05050-4

  • Online ISBN: 978-3-030-05051-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics