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Statistical Radial Basis Function Model for Pattern Classification  

Choi Jun-Hyeog (Division of Computer Science, Kimpo College)
Rim Kee-Wook (Knowledge Information & Industrial Engineering Department, Sunmoon Univ.)
Lee Jung-Hyun (School of Computer Science & Engineering, Inha Univ.)
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Abstract
According to the development of the Internet and the pervasion of Data Base, it is not easy to search for necessary information from the huge amounts of data. In order to do efficient analysis of a large amounts of data, this paper proposes a method for pattern classification based on the effective strategy for dimension reduction for narrowing down the whole data to what users wants to search for. To analyze data effectively, Radial Basis Function Networks based on VC-dimension of Support Vector Machine, a model of statistical teaming, is proposed in this paper. The model of Radial Basis Function Networks currently used performed the preprocessing of Perceptron model whereas the model proposed in this paper, performing independent analysis on VD-dimension, classifies each datum putting precise labels on it. The comparison and estimation of various models by using Machine Learning Data shows that the model proposed in this paper proves to be more efficient than various sorts of algorithm previously used.
Keywords
RBF model; Pattern classification; Support Vector Model; Neural Networks model;
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1 J. Zhu, T. Hastie, 'Kernel Logistic Regression and the Import Vector Machine,' NIPS2001 Conference, 2001
2 http://www.ics.uci.edu/~mlearn/MLSummary.html
3 http://www.r-project.org/
4 A. Smola, B. Scholkopf, 'Sparse Greedy Matrix Approximation for Machine Learning,' In Proceedings of the Seventeenth International Conference on Machine Learning, 2000
5 V. N. Vapnik, 'The Nature of Statistical Learning Theory,' New York: Springer-Verlag, 1995
6 V. N. Vapnik, 'Statistical Learning Theory,' New York: Wiley, 1998
7 G. Wahba, 'Support Vector Machine, Reproducing Kernel Hilbert Spaces and the Randomized,' GACV. Technical Report 984rr, Department of Statistics, University of Wisconsin, Madison, 1998
8 X. Lin, G. Wahba, D. Xiang, F. Gao, R. Klein, B. Klein, 'Smoothing spline ANOVA models for large data sets with Bernoulli observations and the randomized GACV,' Technical Report 998, Department of Statistics, University of Wisconsin, Madison, 1998
9 R. H. Myers, 'Classical and Modern Regression with Applications,' Duxbury, 1990
10 M. J. D. Powell, 'The theory of radial basis functions approximation in 1990,' Advances in Numerical Analysis Volume II: Wavelets, Subdivision Algorithms and Radial Basis Functions, W. A. Light, ed., Oxford University, pp. 105-210, 1992
11 Burges, C. J. C., 1998, 'A tutorial on Support Vector Machines for Pattern Recognition,' Data Mining and Knowledge Discovery, Vol. 2, pp. 121-167   DOI   ScienceOn
12 V. Cherkassky, F. Mulier, 'Learning from Data: Concept, Theory, and Methods,' John Wiley & Sons, Inc., 1998
13 T. Evgeniou, M. Pontil, T. Poggio, 'Regularization networks and support vector machines,' MIT Press, 1999
14 P. Green, B. Yandell, 'Semi-parametric generalized linear models,' Proceedings 2nd International GLIM Conference, 1985
15 G. Kimeldorf, G. Wahba, 'Some results on Tchebyc- heffian spline functions,' Math. Anal. Applic, 1971   DOI