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, VICTOR ELISEO LEIVA SANCHEZ, Ana Martin-Casado, M. Purificación Galindo-Villardón

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Article number203
Pages (from-to)1-22
Number of pages22
JournalMathematics
Volume9
Issue number3
DOIs
StatePublished - Jan 2021
Externally publishedYes

Keywords

  • Greedy algorithms
  • Heuristic algorithms
  • PCA
  • R software
  • Singular value decomposition
  • Three-way tables
  • Tucker3 model

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