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Grid-Based Contraction Clustering in a Peer-to-Peer Network

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Machine Learning, Optimization, and Data Science (LOD 2022)

Abstract

Clustering is one of the main data mining techniques used to analyze and group data, but often applications have to deal with a very large amount of spatially distributed data for which most of the clustering algorithms available so far are impractical. In this paper we present P2PRASTER, a distributed algorithm relying on a gossip–based protocol for clustering that exploits the RASTER algorithm and has been designed to handle big data in a decentralized manner. The experiments carried out show that P2PRASTER returns perfect results under both optimal and non-optimal conditions, and also provides excellent scalability.

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Notes

  1. 1.

    https://github.com/cafaro/P2Praster.

References

  1. Cheng, Y.: Mean shift, mode seeking, and clustering. IEEE Trans. Pattern Anal. Mach. Intell. 17(8), 790–799 (1995). https://doi.org/10.1109/34.400568

    Article  Google Scholar 

  2. Demers, A., et al.: Epidemic algorithms for replicated database maintenance. In: Proceedings of the Sixth Annual ACM Symposium on Principles of Distributed Computing, PODC 1987, pp. 1–12. ACM, New York (1987). https://doi.org/10.1145/41840.41841

  3. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the em algorithm. J. Roy. Stat. Soc. Ser. B (Methodol.) 39(1), 1–38 (1977). http://www.jstor.org/stable/2984875

  4. Fukunaga, K., Hostetler, L.: The estimation of the gradient of a density function, with applications in pattern recognition. IEEE Trans. Inf. Theory 21(1), 32–40 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lloyd, S.: Least squares quantization in PCM. IEEE Trans. Inf. Theory 28(2), 129–137 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  6. MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Statistics, pp. 281–297. University of California Press, Berkeley (1967)

    Google Scholar 

  7. Schubert, E., Sander, J., Ester, M., Kriegel, H.P., Xu, X.: DBSCAN revisited, revisited: why and how you should (still) use DBSCAN. ACM Trans. Database Syst. 42(3), 19:1–19:21 (2017). https://doi.org/10.1145/3068335

  8. Ulm, G., Smith, S., Nilsson, A., Gustavsson, E., Jirstrand, M.: Contraction clustering (RASTER): a very fast big data algorithm for sequential and parallel density-based clustering in linear time, constant memory, and a single pass (2019)

    Google Scholar 

  9. Wang, W., Yang, J., Muntz, R.R.: Sting: A statistical information grid approach to spatial data mining. In: Proceedings of the 23rd International Conference on Very Large Data Bases, VLDB 1997, pp. 186–195. Morgan Kaufmann Publishers Inc., San Francisco (1997)

    Google Scholar 

  10. Zhang, T., Ramakrishnan, R., Livny, M.: BIRCH: an efficient data clustering method for very large databases. SIGMOD Rec. 25(2), 103–114 (1996). https://doi.org/10.1145/235968.233324

    Article  Google Scholar 

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Correspondence to Massimo Cafaro .

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Mariani, A., Epicoco, I., Cafaro, M., Pulimeno, M. (2023). Grid-Based Contraction Clustering in a Peer-to-Peer Network. In: Nicosia, G., et al. Machine Learning, Optimization, and Data Science. LOD 2022. Lecture Notes in Computer Science, vol 13811. Springer, Cham. https://doi.org/10.1007/978-3-031-25891-6_28

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  • DOI: https://doi.org/10.1007/978-3-031-25891-6_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-25890-9

  • Online ISBN: 978-3-031-25891-6

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