Extended Legendre Wavelets Neural Network

被引:0
|
作者
Zheng, XiaoYang [1 ]
Yang, XiaoFan [2 ]
Su, Hong [3 ]
Wu, Yong [3 ]
机构
[1] Chongqing Univ, Coll Math & Phys, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Coll Comp Sci, Chongqing 400030, Peoples R China
[3] Chongqing Univ, Coll Math & Phys, Chongqing 400030, Peoples R China
基金
中国国家自然科学基金;
关键词
Legendre wavelets; multilayer perception neural network; extended Legendre wavelets neural network;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Based on analyzing Legendre wavelets, this paper presents the extended Legendre wavelets (ELW), which is defined on the interval (-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.
引用
收藏
页码:54 / +
页数:2
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