Extended Legendre Wavelets Neural Network

Authors:
Xiaoyang Zheng;Xiaofan Yang;Hong Su;Yong Wu
Affiliations:
College of Mathematics and Physics, Chongqing University, Chongqing, China 400030;College of Computer Science, Chongqing University, Chonqing, China 400030;College of Mathematics and Physics, Chongqing Institute of Technology, , Chongqing, China 400050;College of Mathematics and Physics, Chongqing Institute of Technology, , Chongqing, China 400050
Venue:
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Year:
2008

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Abstract

Based on analyzing Legendre wavelets, this paper presents the extended Legendre wavelets (ELW), which is defined on the interval (茂戮驴 r,r), and proves to be orthogonal. Furthermore, this paper constructs the extended Legendre wavelet neural network (ELWNN) by using the ELW functions instead of the activation functions of a multilayer perceptron neural network (MPNN). The ELWNN has advantages of simple structure and very efficient convergence rate. Additionally, the ELWNN is applied to the approximation a function and better approximate results are achieved.