A Clustering Based Method to Stipulate the Number of Hidden Neurons of mlp Neural Networks: Applications in Pattern Recognition

M.R. Silvestre, S.M. Oikawa, F.H.T. Vieira, L.L. Ling

Abstract


In this paper, we propose an algorithm to obtain the number of necessary hidden neurons of single-hidden-layer feed forward networks (SLFNs) for different pattern recognition application tasks. Our approach is based on clustering analysis of the data in each class. We show by simulations that the proposed approach requires less computation CPU time and error rates as well as a smaller number of neurons than other methods.

References


[1] A. Asuncion, D.J. Newman, “UCI Machine Learning Repository”, Irvine, CA: University of California, School of Information and Computer Science, 2007. Available: http://www.ics.uci.edu/~mlearn/MLRepository.html

W. Duch, R. Adamczak, N. Jankowski, Initialization and optimization of multilayered perceptrons, in “Proceedings of the 3th Conference on Neural Networks and Their Applications”, pp. 105-110, 1997.

G.B. Huang, H.A. Babri, Upper bounds on the number of hidden neuron in feedforward networks with arbitrary bounded nonlinear activation functions, IEEE Transactions on Neural Networks, 9, No. 1 (1998), 224-229.

R.A. Johnson, D.W. Wichern, “Applied Multivariate Statistical Analysis”, 5th ed., Prentice Hall, Upper Saddle River, 2002.

R.P. Lippmann, Pattern classification using neural networks, IEEE Communications Magazine, (1989), 47-64.

S.A. Mingoti, “An´alise de Dados atrav´es de Metodos de Estat´ıstica Multivariada: uma Abordagem Aplicada”, UFMG, Belo Horizonte, 2005.

H.C. Romesburg, “Cluster Analysis for Researchers”, Robert E. Krieger, Malabar, 1990.

M.R. Silvestre, L.L. Ling, Optimization of neural classifiers based on Bayesian decision boundaries and idle neurons pruning, in “Proceedings of the 16th International Conference on Pattern Recognition”, pp. 387-390, 2002.

N. Weymaere, J.P. Martens, On the initialization and optimization of multilayer perceptrons, IEEE Transactions on Neural Networks, 5, No. 5, (1994), 738-751.




DOI: https://doi.org/10.5540/tema.2008.09.02.0351

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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