Initialisation and training procedures for wavelet networks applied to chaotic time series. Alarcon-Aquino, V., Starostenko, O., Ramirez-Cortes, J., M., Gomez-Gil, P., & Garcia-Treviño, E., S. Engineering Intelligent Systems, 18(1):15-23, 2010.
Initialisation and training procedures for wavelet networks applied to chaotic time series [link]Website  abstract   bibtex   
Wavelet networks are a class of neural network that take advantage of good localization properties of multi-resolution analysis and combine them with the approximation abilities of neural networks. This kind of networks uses wavelets as activation functions in the hidden layer and a type of back-propagation algorithm is used for its learning. However, the training procedure used for wavelet networks is based on the idea of continuous differentiable wavelets and some of the most powerful and used wavelets do not satisfy this property. In this paper we report an algorithm for initialising and training wavelet networks applied to the approximation of chaotic time series. The proposed algorithm which has its foundations on correlation analysis of signals allows the use of different types of wavelets, namely, Daubechies, Coiflets, and Symmlets. To show this, comparisons are made for chaotic time series approximation between the proposed approach and the typical wavelet network. © 2010 CRL Publishing Ltd.
@article{
 title = {Initialisation and training procedures for wavelet networks applied to chaotic time series},
 type = {article},
 year = {2010},
 keywords = {Approximation theory,Chaotic time series,Multi-resolution analysis,Wavelet networks,Wavelets},
 pages = {15-23},
 volume = {18},
 websites = {https://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1499},
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 abstract = {Wavelet networks are a class of neural network that take advantage of good localization properties of multi-resolution analysis and combine them with the approximation abilities of neural networks. This kind of networks uses wavelets as activation functions in the hidden layer and a type of back-propagation algorithm is used for its learning. However, the training procedure used for wavelet networks is based on the idea of continuous differentiable wavelets and some of the most powerful and used wavelets do not satisfy this property. In this paper we report an algorithm for initialising and training wavelet networks applied to the approximation of chaotic time series. The proposed algorithm which has its foundations on correlation analysis of signals allows the use of different types of wavelets, namely, Daubechies, Coiflets, and Symmlets. To show this, comparisons are made for chaotic time series approximation between the proposed approach and the typical wavelet network. © 2010 CRL Publishing Ltd.},
 bibtype = {article},
 author = {Alarcon-Aquino, V. and Starostenko, O. and Ramirez-Cortes, J. M. and Gomez-Gil, P. and Garcia-Treviño, E. S.},
 journal = {Engineering Intelligent Systems},
 number = {1}
}

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