Inverse multidimensional scaling
Inverse multidimensional scaling
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DOI：
10.1007/s003579900001
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发表时间：
1997-01-01
影响因子：
2
通讯作者：
Groenen, PJF
中科院分区：
文献类型：
--
作者：
deLeeuw, J;Groenen, PJF
对于度量多维缩放，非常注意用于计算axed相异度的配置的算法。在这里，我们研究的逆问题：什么是一组相异性矩阵，产生一个给定的配置作为一个驻点？这一套的特点是固定点，局部极小值，并为全维缩放。沿着几个例子，提出了一种计算静止点逆映射的方法。
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.