%0 Journal Article
%T Multidimensional Wavelet Networks Based on a Tensor Product Structure<br>基于张量积结构的多维小波网络（英文）
%A WAN Jian
%A XU Demin
%A HE Yuyao
%A <br>万　建
%A 徐德民
%A 贺昱曜
%J 控制理论与应用
%D 2002
%I 
%X Based on the wavelet frame theory, a novel wavelet network for function learning in multidimensional spaces is proposed to avoid the 'curse of dimensionality'. The main feature of the proposed wavelet network is to multiply the reconstruction of each dimension in the output layer instead of adding them as usual. Thus a multidimensional wavelet frame will be generated automatically for approximation, and function learning can be realized through online or off-line adjustment of corresponding weight coefficients. Design methods for one_dimensional wavelet networks can also be generalized straightforwardly to multidimensional cases by using the tensor product structure. In the experiments, the multidimensional wavelet network performs well.
%K wavelet frames
%K multidimensional wavelets
%K tensor product structure
%K function approximation<br>小波框架
%K 多维小波
%K 张量积结构
%K 函数逼近
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=04AF7C7F018EC33F&yid=C3ACC247184A22C1&vid=2A8D03AD8076A2E3&iid=38B194292C032A66&sid=B9B90065CF5CD7F0&eid=B54EB62E9D3FF31E&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=3&reference_num=10