TY - JOUR
T1 - A new algorithm for computing disjoint orthogonal components in the three-way tucker model
AU - Martin-Barreiro, Carlos
AU - Ramirez-Figueroa, John A.
AU - Nieto-Librero, Ana B.
AU - LEIVA SANCHEZ, VICTOR ELISEO
AU - Martin-Casado, Ana
AU - Purificación Galindo-Villardón, M.
N1 - Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/1
Y1 - 2021/1
N2 - One of the main drawbacks of the traditional methods for computing components in the three-way Tucker model is the complex structure of the final loading matrices preventing an easy interpretation of the obtained results. In this paper, we propose a heuristic algorithm for computing disjoint orthogonal components facilitating the analysis of three-way data and the interpretation of results. We observe in the computational experiments carried out that our novel algorithm ameliorates this drawback, generating final loading matrices with a simple structure and then easier to interpret. Illustrations with real data are provided to show potential applications of the algorithm.
AB - One of the main drawbacks of the traditional methods for computing components in the three-way Tucker model is the complex structure of the final loading matrices preventing an easy interpretation of the obtained results. In this paper, we propose a heuristic algorithm for computing disjoint orthogonal components facilitating the analysis of three-way data and the interpretation of results. We observe in the computational experiments carried out that our novel algorithm ameliorates this drawback, generating final loading matrices with a simple structure and then easier to interpret. Illustrations with real data are provided to show potential applications of the algorithm.
KW - Greedy algorithms
KW - Heuristic algorithms
KW - PCA
KW - R software
KW - Singular value decomposition
KW - Three-way tables
KW - Tucker3 model
UR - http://www.scopus.com/inward/record.url?scp=85099928612&partnerID=8YFLogxK
U2 - 10.3390/math9030203
DO - 10.3390/math9030203
M3 - Article
AN - SCOPUS:85099928612
VL - 9
SP - 1
EP - 22
JO - Mathematics
JF - Mathematics
SN - 2227-7390
IS - 3
M1 - 203
ER -