The equivalence of Tucker3 and Parafac models with two components

被引：11
作者：
Kroonenberg, P. M. [1 ]
ten Berge, J. M. F. [2 ]
机构：
[1] Leiden Univ, Inst Educ & Child Studies, NL-2333 AK Leiden, Netherlands
[2] Univ Groningen, Heymans Inst, Dept Psychol, NL-9712 TS Groningen, Netherlands
来源：
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS | 2011年 / 106卷 / 01期
关键词：
Parafac model; Tucker3; model; Two-component models; Degeneracy; Rank-two core array; Rank-three core array; ARRAYS; DEGENERACY;
D O I：
10.1016/j.chemolab.2010.05.022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study investigates similarities and differences between Tucker3 models with two components for each mode and Parafac models with two components. If the core array of the 2 x 2 x 2 Tucker3 model is of rank 2 the solutions contain exactly the same information, but they do not when the rank of the core array is three. Two illustrative applications show the effect the different core arrays have on the solutions and their interpretability. (C) 2010 Elsevier B.V. All rights reserved.
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页码：21 / 26
页数：6
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