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Clustering for Prototype Selection using Singular Value Decomposition

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Abstract

Data clustering is an important technique for exploratory data analysis. The speed, reliability and consistency with which a clustering algorithm can organize large amounts of data constitute reasons to use it in applications like data mining, document retrieval, signal compression, coding and pattern classification. In this paper, we use clustering for efficient large-scale pattern classification; more specifically, we achieve it by selecting appropriate prototypes and features using Singular Value Decomposition (SVD). It is found that the SVD based clustering not only selects better prototypes, but also reduces the memory and computational requirements by 98% over the conventional Nearest Neighbour Classifier (NNC) (T.M.Cover and P.E.Hart (1967)), on OCR data.

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References

  • ANIL K. JAIN, ROBERT P.W. DULIN and JIANCHANG MAO. (2000): Statistical Pattern Recognition: A Review. IEEE Trans. Pattern Analysis and Machine Intelligence. Vol. 22, No. 1, pp. 4–37.

    Article  Google Scholar 

  • COVER, T.M. and HART, P.E. (1967): Nearest Neighbour Pattern Classification. IEEE Trans. Information Theory. vol. 13, no. 1, pp. 21–27.

    Article  MATH  Google Scholar 

  • DEWILDE, P. and DEPRETTERE, ED.F. (1988): Singular Value Decomposition: An introduction. In: Ed. F. Deprettere, editor, SVD and Signal Processing: Algorithms, Applications, and Architectures. Elsevier Science Publishers, North Holland, pp. 3–41.

    Google Scholar 

  • DRINCAS, P., ALAN FRIEZE, RAVI KANNAN, SANTOSH VEMPALA, VINAY, V. (1999): Clustering in large graphs and matrices. Proc. of the symposium on Discrete Algorithms, SIAM

    Google Scholar 

  • JAIN, A.K., MURTY, M.N. and FLYNN, P.J. (1999): Data clustering: a review. ACM computing surveys. Vol 31, Issue 3, Nov pp-264–323.

    Article  Google Scholar 

  • JAIN, A.K. and CHANDRASEKARAN, R. (1982): Dimensionality and sample size considerations in pattern recognition practice, in: Handbook of Dimensionality. P.R. Krishnaiah and L.N. Kanal, Eds. New York: North-Holland

    Google Scholar 

  • PRAKASH, M. and NARASIMHA MURTY, M. (1997): Growing subspace pattern recognition methods and their neural-network models. IEEE Trans. Neural Networks. Vol. 8, No. 1, pp. 161–168.

    Article  Google Scholar 

  • RICHARD O. DUDA, PETER E. HART and DAVID G. STORK. (2000): Pattern Classification (2nd ed.)

    Google Scholar 

  • YOSHIHIKO HAMAMOTO, SHUNJI UCHIMURA and SHINGO TOMITA. (1997): A Bootstrap Technique for Nearest neighbour Classifier. IEEE Trans.Pattern Analysis and Machine Intelligence. Vol 19, no 1, Jan pp. 73–79.

    Article  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Sai Jayram, A.K.V., Murty, M.N. (2002). Clustering for Prototype Selection using Singular Value Decomposition. In: Jajuga, K., Sokołowski, A., Bock, HH. (eds) Classification, Clustering, and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56181-8_8

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  • DOI: https://doi.org/10.1007/978-3-642-56181-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43691-1

  • Online ISBN: 978-3-642-56181-8

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