Approximation Property of Weighted Wavelet Neural Networks

Authors:
Shou-Song Hu;Xia Hou;Jun-Feng Zhang
Affiliations:
College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

A new weighted wavelet neural network is presented, And the approximation capability of such weighted wavelet neural network is also studied based on the traits of Lebesgue partition, the operator theory and the topology structure of the relatively compact set in Hilbert space. The simulation results indicate that the weighted wavelet neural network is a uniformed approximator, which can approximates the nonlinear function in compact set by arbitrary precision.