Mathematics (Jan 2021)

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

  • Carlos Martin-Barreiro,
  • John A. Ramirez-Figueroa,
  • Ana B. Nieto-Librero,
  • Víctor Leiva,
  • Ana Martin-Casado,
  • M. Purificación Galindo-Villardón

DOI
https://doi.org/10.3390/math9030203
Journal volume & issue
Vol. 9, no. 3
p. 203

Abstract

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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.

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