Litcius/Paper detail

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

Carlos Martín-Barreiro, John A. Ramirez-Figueroa, Ana Belén Nieto Librero, Víctor Leiva, Ana María Martín Casado, Purificación Galindo‐Villardón

2021Mathematics16 citationsDOIOpen Access PDF

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.

Topics & Concepts

Disjoint setsComputer scienceInterpretation (philosophy)AlgorithmSimple (philosophy)HeuristicComponent (thermodynamics)Theoretical computer scienceMathematicsArtificial intelligenceCombinatoricsPhilosophyPhysicsEpistemologyProgramming languageThermodynamicsTensor decomposition and applications