小波网络的研究进展与应用

首先从小波分析和神经网络各自存在的问题出发，对小波网络的产生原因和产生形式进行了研究；接着分别从连续小波变换，正交小波变换，小波框架和小波基拟合几方面，详细地介绍了小波网络的构造理论；然后从小波函数的选择，网络参数初始化，隐层节点数确定和参数调节算法几方面对小波网络的学习过程进行了讨论；最后介绍了小波网络的应用，并提出了当前存在的问题和今后的研究方向。

A REVIEW OF WAVELET NETWORKS AND THEIR APPLICATIONS

First, the arisen reasons and forms of wavelet networks are investigated based on faults of wavelet analysis and neural network in this paper. Then, the construction theories of wavelet networks are introduced in detail from continuous wavelet transformation, orthogonal wavelet transformation, wavelet frame and wavelet bases fitting. And the learning processes of wavelet networks are discussed, including choice of wavelet functions, initialization of networks parameters, choice of hidden layer node number and regulating algorithm of networks parameters. In the end, the applications of wavelet networks are presented, and the existent problems and future study aspects are proposed. This project is supported by National Natural Science Foundation of China (No. 59977019).