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A Cooperative Coevolutionary Approach to Partitional Clustering

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Book cover Parallel Problem Solving from Nature, PPSN XI (PPSN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6238))

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Abstract

A challenge in partitional clustering is determining the number of clusters that best characterize a set of observations. In this paper, we present a novel approach for determining both an optimal number of clusters and partitioning of the data set. Our new algorithm is based on cooperative coevolution and inspired by the natural process of sympatric speciation. We have evaluated our algorithm on a number of synthetic and real data sets from pattern recognition literature and on a recently-collected set of epigenetic data consisting of DNA methylation levels. In a comparison with a state-of-the-art algorithm that uses a variable string-length GA for clustering, our algorithm demonstrated a significant performance advantage, both in terms of determining an appropriate number of clusters and in the quality of the cluster assignments as reflected by the misclassification rate.

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References

  1. MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: 5th Berkeley Symp. on Mathematical Statistics and Probability, pp. 281–297. Univ. of Calif. Press, Berkeley (1967)

    Google Scholar 

  2. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Kluwer Academic Publishers, Dordrecht (1981)

    MATH  Google Scholar 

  3. Beringer, J., Hüllermeier, E.: Adaptive optimization of the number of clusters in fuzzy clustering. In: IEEE Int. Conf. on Fuzzy Systems. IEEE, Los Alamitos (2007)

    Google Scholar 

  4. Potter, M.A., De Jong, K.A.: Cooperative coevolution: An architecture for evolving coadapted subcomponents. Evolutionary Computation 8(1), 1–29 (2000)

    Article  Google Scholar 

  5. Maulik, U., Bandyopadhyay, S.: Fuzzy partitioning using real-coded variable-length genetic algorithm for pixel classification. IEEE Trans. on Geoscience and Remote Sensing 41(5), 1075–1081 (2003)

    Article  Google Scholar 

  6. Pakhira, M.K., Bandyopadhyay, S., Maulik, U.: A study of some fuzzy cluster validity indices, genetic clustering and application to pixel classification. Fuzzy Sets and Systems 155, 191–214 (2005)

    Article  MathSciNet  Google Scholar 

  7. Murthy, C.A., Chowdhury, N.: In search of optimal clusters using genetic algorithms. Pattern Recognition Letters 17, 825–832 (1996)

    Article  Google Scholar 

  8. Raghavan, V.V., Birchand, K.: A clustering strategy based on a formalism of the reproductive process in a natural system. In: 2nd Annual International ACM SIGIR Conf. on Information Storage and Retrieval, pp. 10–22. ACM, New York (1979)

    Google Scholar 

  9. Babu, G.P., Murty, M.N.: Clustering with evolution strategies. Pattern Recognition 27(2), 321–329 (1994)

    Article  Google Scholar 

  10. Scheunders, P.: A genetic c-means clustering algorithm applied to color image quantization. Pattern Recognition 30(6), 859–866 (1997)

    Article  Google Scholar 

  11. Hall, L.O., Ozyurt, B., Bezdek, J.C.: Clustering with a genetically optimized approach. IEEE Trans. on Evolutionary Computation 3(2), 103–112 (1999)

    Article  Google Scholar 

  12. Maulik, U., Bandyopadhyay, S.: Genetic algorithm-based clustering technique. Pattern Recognition 33, 1455–1465 (2000)

    Article  Google Scholar 

  13. Bandyopadhyay, S., Maulik, U., Mukhopadhyay, A.: Multiobjective genetic clustering for pixel classification in remote sensing imagery. IEEE Trans. on Geoscience and Remote Sensing 45(5), 1506–1511 (2007)

    Article  Google Scholar 

  14. Bandyopadhyay, S., Saha, S.: GAPS: A new symmetry based genetic clustering technique. Pattern Recognition 40, 3430–3451 (2007)

    Article  MATH  Google Scholar 

  15. Lee, C.Y.: Efficient Automatic Engineering Design Synthesis via Evolutionary Exploration. PhD thesis, Calif. Institute of Technology, Pasadena, Calif. (2002)

    Google Scholar 

  16. Bandyopadhyay, S., Maulik, U.: Genetic clustering for automatic evolution of clusters and application to image classification. Pattern Recognition 35, 1197–1208 (2002)

    Article  MATH  Google Scholar 

  17. Kharma, N., Suen, C.Y., Guo, P.F.: PalmPrints: A novel co-evolutionary algorithm for clustering finger images. In: GECCO, pp. 322–331. Springer, Heidelberg (2003)

    Google Scholar 

  18. Xie, X.L., Beni, G.: A validly measure for fuzzy clustering. IEEE Trans. on Pattern Analysis and Machine Intelligence 13(8), 841–847 (1991)

    Article  Google Scholar 

  19. Pakhira, M.K., Bandyopadhyay, S., Maulik, U.: Validity index for crisp and fuzzy clusters. Pattern Recognition 37, 487–501 (2004)

    Article  MATH  Google Scholar 

  20. Asuncion, A., Newman, D.: UCI machine learning repository (2007)

    Google Scholar 

  21. Ehrich, M., Nelson, M.R., Stanssens, P., Zabeau, M., Liloglou, T., Xinarianos, G., Cantor, C.R., Field, J.K., van den Boom, D.: Quantitative high-throughput analysis of dna methylation patterns by base-specific cleavage and mass spectrometry. Proceedings of the National Academy of Sciences USA 102(44), 15785–15790 (2005)

    Article  Google Scholar 

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Potter, M.A., Couldrey, C. (2010). A Cooperative Coevolutionary Approach to Partitional Clustering. In: Schaefer, R., Cotta, C., Kołodziej, J., Rudolph, G. (eds) Parallel Problem Solving from Nature, PPSN XI. PPSN 2010. Lecture Notes in Computer Science, vol 6238. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15844-5_38

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  • DOI: https://doi.org/10.1007/978-3-642-15844-5_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15843-8

  • Online ISBN: 978-3-642-15844-5

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