Visualising three-way arrays

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• 作者：Darryn Williams ; ^{Darryn.williams@gmail.com} ; Sugnet Gardner-Lubbe
• 关键词：Triplot ; Tensor Singular Value decomposition ; Principal Component Analysis biplot
• 刊名：Chemometrics and Intelligent Laboratory Systems
• 出版年：2016
• 出版时间：15 November 2016
• 年：2016
• 卷：158
• 期：Complete
• 页码：180-186
• 全文大小：1092 K
• 卷排序：158

文摘

This paper considers the use of the Tensor Singular Value decomposition approximation as a basis for visualising three-way data, particularly in the spirit of the PCA biplot, and proposes a plot based on the orthogonal rank decomposition of a three-way array. It is shown how the decomposition can be used to partition terms as a product of one mode and a combination of the remaining two modes. This allows for a two dimensional representation with triplot axes, similar to PCA biplots.