Abstract
We propose a classification method based on a special class of feed-forward neural network, namely product-unit neural networks. They are based on multiplicative nodes instead of additive ones, where the nonlinear basis functions express the possible strong interactions between variables. We apply an evolutionary algorithm to determine the basic structure of the product-unit model and to estimate the coefficients of the model. We use softmax transformation as the decision rule and the cross-entropy error function because of its probabilistic interpretation. The empirical results over four benchmark data sets show that the proposed model is very promising in terms of classification accuracy and the complexity of the classifier, yielding a state-of-the-art performance.
This work has been financed in part by TIN 2005-08386-C05-02 projects of the Spanish Inter-Ministerial Commission of Science and Technology (MICYT) and FEDER funds.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Hastie, T.J., Tibshirani, R.J.: Generalized Additive Models. Chapman & Hall, London (1990)
Kooperberg, C., Bose, S., Stone, C.J.: Polychotomous Regression. Journal of the American Statistical Association 92, 117–127 (1997)
Durbin, R., Rumelhart, D.: Products Units: A computationally powerful and biologically plausible extension to backpropagation networks. Neural Computation 1, 133–142 (1989)
Martínez-Estudillo, A.C., Martínez-Estudillo, F.J., Hervás-Martínez, C., et al.: Evolutionary Product Unit based Neural Networks for Regression. Neural Networks, 477–486 (2006)
Martínez-Estudillo, A.C., Hervás-Martínez, C., Martínez-Estudillo, A.C., et al.: Hybridation of evolutionary algorithms and local search by means of a clustering method. IEEE Transactions on Systems, Man and Cybernetics, Part. B: Cybernetics 36, 534–546 (2006)
Yao, X.: Evolving artificial neural network. Proceedings of the IEEE 9(87), 1423–1447 (1999)
Blake, C., Merz, C.J.: UCI repository of machine learning data bases (1998), http://www.ics.uci.edu/~mlearn/MLRepository.thml
Schmitt, M.: On the Complexity of Computing and Learning with Multiplicative Neural Networks. Neural Computation 14, 241–301 (2001)
Ismail, A., Engelbrecht, A.P.: Global optimization algorithms for training product units neural networks. Presented at International Joint Conference on Neural Networks IJCNN 2000, Como, Italy (2000)
Engelbrecht, A.P., Ismail, A.: Training product unit neural networks. Stability and Control: Theory and Applications 2, 59–74 (1999)
Saito, K., Nakano, R.: Extracting Regression Rules From Neural Networks. Neural Networks 15, 1279–1288 (2002)
Landwehr, N., Hall, M., Eibe, F.: Logistic Model Trees. Machine Learning 59, 161–205 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Martínez-Estudillo, F.J., Hervás-Martínez, C., Peña, P.A.G., Martínez-Estudillo, A.C., Ventura-Soto, S. (2006). Evolutionary Product-Unit Neural Networks for Classification. In: Corchado, E., Yin, H., Botti, V., Fyfe, C. (eds) Intelligent Data Engineering and Automated Learning – IDEAL 2006. IDEAL 2006. Lecture Notes in Computer Science, vol 4224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11875581_157
Download citation
DOI: https://doi.org/10.1007/11875581_157
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45485-4
Online ISBN: 978-3-540-45487-8
eBook Packages: Computer ScienceComputer Science (R0)