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Titolo
A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model
Autor(es)
Soggetto
Greedy algorithms
Heuristic algorithms
PCA
R software
Singular value decomposition
Three-way tables
Tucker3 model
Clasificación UNESCO
12 Matemáticas
1206.01 Construcción de Algoritmos
Fecha de publicación
2021
Editore
MDPI
Citación
Martin-Barreiro, C., Ramirez-Figueroa, J. A., Nieto-Librero, A. B., Leiva, V., Martin-Casado, A., & Galindo-Villardón, M. P. (2021). A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model. Mathematics, 9, 203. https:// doi.org/10.3390/math9030203
Resumen
[EN] 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.
URI
ISSN
2227-7390
DOI
10.3390/math9030203
Versión del editor
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