A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model

Martin-Barreiro, Carlos; Ramirez-Figueroa, John A.; Nieto-Librero, Ana B.; Leiva, Victor; Martin-Casado, Ana; Galindo-Villardon, M. Purificacion

Abstract

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.

Más información

Título según WOS: A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model
Título de la Revista: MATHEMATICS
Volumen: 9
Número: 3
Editorial: MDPI
Fecha de publicación: 2021
DOI:

10.3390/math9030203

Notas: ISI