Abstract
In this paper, a novel WNN, multi-input and multi-output feedforward wavelet neural network is constructed. In the hidden layer, wavelet basis functions are used as activate function instead of the sigmoid function of feedforward network. The training formulas based on BP algorithm are mathematically derived and training algorithm is presented. A numerical experiment is given to validate the application of this wavelet neural network in multi-variable functional approximation.
This work is supported by 863 Project of China (No.2002AA234021) and 973 Project of China (No. 2002CB512800).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cybenko, G.: Approximation by Superpositions of a Sigmoid Function. Math of Control. Signals and Systems 2, 303–314 (1989)
Zhang, Q., Benveniste, A.: Wavelet Networks. IEEE Trans. on NN. 3, 889–898 (1992)
Zhang, Q.: Using Wavelet Network in Nonparametric Estimation. IEEE Trans. Neural Networks 2, 227–236 (1997)
Daubechies, I.: Ten Lectures on Wavelets. CBMS-NSF Regional Series in Applied Mathematics. SIAM, Philadelphia (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhao, J., Chen, W., Luo, J. (2004). Feedforward Wavelet Neural Network and Multi-variable Functional Approximation. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-540-30497-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24127-0
Online ISBN: 978-3-540-30497-5
eBook Packages: Computer ScienceComputer Science (R0)