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A Multi-clustering Fusion Algorithm

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Methods and Applications of Artificial Intelligence (SETN 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2308))

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Abstract

A multi-clustering fusion method is presented based on combining several runs of a clustering algorithm resulting in a common partition. More specifically, the results of several independent runs of the same clustering algorithm are appropriately combined to obtain a partition of the data which is not affected by initialization and overcomes the instabilities of clustering methods. Finally, the fusion procedure starts with the clusters produced by the combining part and finds the optimal number of clusters in the data set according to some predefined criteria. The unsupervised multi-clustering method implemented in this work is quite general. There is ample room for the implementation and testing with any existing clustering algorithm that has unstable results. Experiments using both simulated and real data sets indicate that the multi-clustering fusion algorithm is able to partition a set of data points to the optimal number of clusters not constrained to be hyper-spherically shaped.

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References

  1. A.K. Jain and R.C. Dubes. Algorithms for Clustering Data. Englewood Cliffs, N. J.: Prentice Hall, 1988.

    MATH  Google Scholar 

  2. A.K. Jain, R.P.W. Duin, and J. Mao. Statistical pattern recognition: A review. IEEE Transactions on Pattern Analysis and Machine Intelligence, 22(1), 2000.

    Google Scholar 

  3. M. Halkidi, Y. Batistakis, and M. Vazirgiannis. Clustering algorithms and validity measures. In Proceedings of the SSDBM conference, Virginia, USA, July 2001.

    Google Scholar 

  4. J.C. Bezdek and S.K. Pal. Fuzzy Models for Pattern Recognition: Methods that Search for Structures in Data. IEEE CS Press, 1992.

    Google Scholar 

  5. J.C. Bezdek. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York, 1981.

    MATH  Google Scholar 

  6. A.P. Dempster, N.M. Laird, and D.B. Rubin. Maximum likelihood from incomplete data via the em algorithm. Roy. Statist. Soc. B, 39:1–38, 1977.

    MATH  MathSciNet  Google Scholar 

  7. Vlassis N. and Likas A. A greedy-EM algorithm for Gaussian mixture learning. Technical report, Computer Science Institute, University of Amsterdam, The Netherlands, May 2000.

    Google Scholar 

  8. E. Boundaillier and G. Hebrail. Interactive interpretation of hierarchical clustering. Intell. Data Anal., 2(3), 1998.

    Google Scholar 

  9. A. Fred. Finding Consistent Clusters in Data Partitions. In Proceedings of the Second International Workshop on Multiple Classifier Systems (MCS 2001), LNCS 2096, pages 309–318, Cam bridge, UK, July 2–4 2001. Springer.

    Google Scholar 

  10. E. Dimitriadou, A. Weingessel, and K. Hornik. A voting-merging clustering algorithm. Working Paper 31, SFB ‘Adaptive Information Systems and Modeling in Economics and Management Science’, April 1999.

    Google Scholar 

  11. P. Smyth. Clustering Using Monte Carlo Cross-Validation. In Proceedings Knowledge Discovery and Data Mining, pages 126–133, 1996.

    Google Scholar 

  12. P. Cheeseman and J. Stutz. Bayesian Classification (AutoClass): Theory and Results. In Usama M. Fayyad, Gregory Piatetsky-Shapiro, Padhraic Smyth, and Ramasamy Uthurusamy, editors, Advances in Knowledge Discovery and Data Mining. AAAI Press/MIT Press, 1996.

    Google Scholar 

  13. D.H. Fisher. Knowledge acquisition via incremental conceptual clustering. Machine Learning, 2:139–172, 1987.

    Google Scholar 

  14. D.S. Frossyniotis and A. Stafylopatis. A Multi-SVM Classification System. In Proceedings of the Second International Workshop on Multiple Classifier Systems (MCS 2001), LNCS 2096, pages 198–207, Cam bridge, UK, July 2–4 2001. Springer.

    Book  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Frossyniotis, D., Pertselakis, M., Stafylopatis, A. (2002). A Multi-clustering Fusion Algorithm. In: Vlahavas, I.P., Spyropoulos, C.D. (eds) Methods and Applications of Artificial Intelligence. SETN 2002. Lecture Notes in Computer Science(), vol 2308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46014-4_21

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  • DOI: https://doi.org/10.1007/3-540-46014-4_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43472-6

  • Online ISBN: 978-3-540-46014-5

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