Inverse multidimensional scaling

被引:6
|
作者
deLeeuw, J [1 ]
Groenen, PJF [1 ]
机构
[1] LEIDEN UNIV,DEPT DATA THEORY,NL-2300 RB LEIDEN,NETHERLANDS
关键词
metric multidimensional scaling; inverse map;
D O I
10.1007/s003579900001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For metric multidimensional scaling much attention is given to algorithms for computing the configuration for axed dissimilarities. Here we study the inverse problem: what is the set of dissimilarity matrices that yield a given configuration as a stationary point? Characterizations of this set are given for stationary points, local minima, and for full-dimensional scaling. A method for computing the inverse map for stationary points is presented along with several examples.
引用
收藏
页码:3 / 21
页数:19
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