Abstract
In this paper, to improve the generalization ability of radial basis function networks, we apply the polynomial neural networks as the virtual input variables of radial basis function networks. The parameters of each polynomial neuron are estimated by linear discriminant analysis. In each layer of polynomial neural networks, the polynomial neurons are selected in terms of the objective function of linear discriminant analysis.
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Renjifo, C., Barsic, D., Carmen, C., Norman, K., Peacock, G.S.: Improving radial basis function kernel classification through incremental learning and automatic parameter selection. Neurocomputing 72, 3–14 (2008)
Rocha, M., Cortez, P., Neves, J.: Simultaneous evolution of neural network topologies and weights for classification and regression. In: Cabestany, J., Prieto, A.G., Sandoval, F. (eds.) IWANN 2005. LNCS, vol. 3512, pp. 59–66. Springer, Heidelberg (2005)
Pedrycz, W., Park, H.S., Oh, S.K.: A granular-oriented development of functional radial basis function neural networks. Neurocomputing 72, 420–435 (2008)
Pedrycz, W.: Conditional Fuzzy C-Means. Pattern Recognition Letter 17(6), 625–632 (1996)
Oh, S.K., Kim, W.D., Pedrycz, W., Park, B.J.: Polynomial-based radial basis function neural networks (P-RBF NNs) realized with the aid of particle swarm optimization. Fuzzy Sets and Systems 163, 54–77 (2011)
Ivahnenko, A.G.: Polynomial theory of complex systems. IEEE Trans. on Systems, Man and Cybernetics SMC-12, 364–378 (1971)
Oh, S.-K., Pedrycz, W.: The design of self-organizing Polynomial Neural Networks. Information Science 141, 237–258 (2002)
Oh, S.-K., Pedrycz, W., Park, B.-J.: Polynomial Neural Networks Architecture: Analysis and Design. Computers and Electrical Engineering 29(6), 703–725 (2003)
Parades, R., Vidal, E.: Learning prototypes and distance: A prototype reduction technique based on nearest neighbor error minimization. Pattern Recognition 39, 180–188 (2006)
Farrow, S.J.: The GMDH algorithm. In: Farrow, S.J. (ed.) Self-organizing Methods in Modeling: GMDH Type Algorithms, Marcel Dekker, New York (1984)
Kleinsteuber, S., Sepehri, N.: A polynomial network modeling approach to a class of large-scale hydraulic systems. Computers Elect. Eng. 22, 151–168 (1996)
Er, M.J., Wu, S.Q., Lu, J.W., Toh, H.L.: Face recognition with radical basis function (RBF) neural networks. IEEE Transactions on Neural Networks 13(5), 697–710 (2002)
Jing, X.Y., Yao, Y.F., Zhang, D., Yang, J.Y., Li, M.: Face and palm print pixel level fusion and Kernel DCV-RBF classifier for small sample biometric recognition. Pattern Recognition 40, 3209–3224 (2007)
Hwang, H.: Daily Electric Load Forecasting Based on RBF Neural Network Models. International Journal of Fuzzy Logic and Intelligent Systems 13(1), 37–46 (2013)
Ha, S.-H., Jeon, H.-T.: Development of Intelligent Gear-shifting Map Based on Radial Basis Function Neural Networks. International Journal of Fuzzy Logic and Intelligent Systems 13(2), 116–123 (2013)
Na, J.H., Park, M.S., Choi, J.Y.: Linear boundary discriminant analysis. Pattern Recognition 43, 929–936 (2010)
Cervantes, A., Galvan, I.M., Isasi, P.: AMSPO: A New Particle Swarm Method for Nearest Neighborhood Classification. IEEE Transaction on Systems, Man, and Cybernetics Part B 39(5), 1082–1091 (2009)
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Ahn, T.C., Roh, S.B., Yin, Z.L., Kim, Y.S. (2014). Design of Radial Basis Function Classifier Based on Polynomial Neural Networks. In: Cho, Y., Matson, E. (eds) Soft Computing in Artificial Intelligence. Advances in Intelligent Systems and Computing, vol 270. Springer, Cham. https://doi.org/10.1007/978-3-319-05515-2_10
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DOI: https://doi.org/10.1007/978-3-319-05515-2_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05514-5
Online ISBN: 978-3-319-05515-2
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