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New initialization for clustering algorithms combining distance and density

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Published:29 March 2017Publication History

ABSTRACT

Many clustering techniques are highly dependent on the initialization. The introduction of membership degrees used in fuzzy logic, avoids local minima, however the global minimum is far from satisfactory, especially when dealing with clusters with varying density. Here we propose an initialization method combining distance and density in order to approach as near as possible the final cluster centroids. Comparisons are given with KKZ method.

References

  1. J. Macqueen, "Some methods for classification and analysis of multivariate observations," in In 5-th Berkeley Symposium on Mathematical Statistics and Probability, 1967, pp. 281--297.Google ScholarGoogle Scholar
  2. Clementine 7.0 User's Guide Package (2003) Chicago: SPSS Inc.Google ScholarGoogle Scholar
  3. R. Roiger and M. Geatz, Data Mining: A Tutorial Based Primer, 1st edition. Boston: Pearson, 2002.Google ScholarGoogle Scholar
  4. J. Han, M. Kamber, and J. Pei, Data Mining: Concepts and Techniques, Third Edition, 3 edition. Haryana, India; Burlington, MA: Morgan Kaufmann, 2011.Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. E. H. Ruspini, "A new approach to clustering," Inf. Control, vol. 15, no. 1, pp. 22--32, Jul. 1969. Google ScholarGoogle ScholarCross RefCross Ref
  6. J. C. Dunn, "A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters," J. Cybern., vol. 3, no. 3, pp. 32--57, Jan. 1973. Google ScholarGoogle ScholarCross RefCross Ref
  7. F. Klawonn, R. Kruse, and R. Winkler, "Fuzzy clustering: More than just fuzzification," Fuzzy Sets Syst., vol. 281, pp. 272--279, Dec. 2015. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. S. B. Green and N. J. Salkind, Using SPSS for Windows and Macintosh, Books a la Carte, 8 edition. Hoboken: Pearson, 2016.Google ScholarGoogle Scholar
  9. E. Forgy, "Cluster analysis of multivariate data: efficiency versus interpretability of classifications," Biometrics, vol. 21, pp. 768--769, 1965.Google ScholarGoogle Scholar
  10. Q. Yuan, H. Shi, and X. Zhou, "An optimized initialization center K-means clustering algorithm based on density," in 2015 IEEE International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER), 2015, pp. 790--794. Google ScholarGoogle ScholarCross RefCross Ref
  11. SAS/ETS User's Guide, Version 8 (2000) Volumes 1 and 2, SAS Publiching.Google ScholarGoogle Scholar
  12. J. T. Tou and R. C. Gonzalez, Pattern Recognition Principles, 2nd edition. Reading, Mass.: Addison-Wesley, 1977.Google ScholarGoogle Scholar
  13. I. Katsavounidis, C. C. J. Kuo, and Z. Zhang, "A new initialization technique for generalized Lloyd iteration," IEEE Signal Process. Lett., vol. 1, no. 10, pp. 144--146, Oct. 1994. Google ScholarGoogle ScholarCross RefCross Ref
  14. J. He, M. Lan, C.-L. Tan, S.-Y. Sung, and H.-B. Low, "Initialization of cluster refinement algorithms: a review and comparative study," in 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No. 04CH37541), 2004, vol. 1, p. 302.Google ScholarGoogle Scholar
  15. M. E. Celebi, H. A. Kingravi, and P. A. Vela, "A comparative study of efficient initialization methods for the k-means clustering algorithm," Expert Syst. Appl., vol. 40, no. 1, pp. 200--210, Jan. 2013. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. B. Schölkopf, A. Smola, and K.-R. Müller, "Nonlinear Component Analysis As a Kernel Eigenvalue Problem," Neural Comput, vol. 10, no. 5, pp. 1299--1319, Jul. 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  • Published in

    cover image ACM Other conferences
    BDCA'17: Proceedings of the 2nd international Conference on Big Data, Cloud and Applications
    March 2017
    685 pages
    ISBN:9781450348522
    DOI:10.1145/3090354

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    Publication History

    • Published: 29 March 2017

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