Title
Constructive approximation to real function by wavelet neural networks
Abstract
We present a type of single-hidden layer feed-forward wavelet neural networks. First, we give a new and quantitative proof of the fact that a single-hidden layer wavelet neural network with n + 1 hidden neurons can interpolate n + 1 distinct samples with zero error. Then, without training, we constructed a wavelet neural network X a(x, A), which can approximately interpolate, with arbitrary precision, any set of distinct data in one or several dimensions. The given wavelet neural network can uniformly approximate any continuous function of one variable.
Year
DOI
Venue
2009
10.1007/s00521-008-0194-2
Neural Computing and Applications
Keywords
DocType
Volume
wavelet neural networksinterpolation � uniform approximation
Journal
18
Issue
ISSN
Citations 
8
1433-3058
5
PageRank 
References 
Authors
0.43
7
3
Name
Order
Citations
PageRank
Muzhou Hou1504.49
Xuli Han215922.91
Yixuan Gan350.43