%0 Journal Article
%T Properties Analysis and Research of Principal Curves Based on Self-Consistency<br>基于自相合性的主曲线的特性分析与研究
%A SHAO Bao-Jun
%A MIAO Duo-Qian
%A ZHANG Hong-Yun
%A TANG Qing-Shi
%A WANG Zhen
%A <br>邵保军
%A 苗夺谦
%A 张红云
%A 唐庆适
%A 王真
%J 计算机科学
%D 2005
%I 
%X A principal curve which satisfies the self-consistency property is a smooth curve passing through the "mid- dle" of a dataset, which can be regard as a noulinear generalization of linear principal components. In this paper, we construct a differential equation on the basis of the self-consistency condition of principal curves, and by solving this differential equation, we obtain principal curves for uniform densities on annuli; through analyses and studies of the experimentation's findings, we have drawn some interesting conclusions.
%K Principal curves
%K Manifold
%K Self--consistency<br>分析与研究
%K 主曲线
%K 相合性
%K 微分方程
%K 光滑曲线
%K 均匀分布
%K 自相合
%K 数据云
%K 非线性
%K 主成分
%K 求解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=7EA8590D4B5DECCD&yid=2DD7160C83D0ACED&vid=9971A5E270697F23&iid=E158A972A605785F&sid=95D537AC89B28832&eid=E84BBBDDD74F497C&journal_id=1002-137X&journal_name=计算机科学&referenced_num=0&reference_num=9