A new algorithm for computing disjoint orthogonal components in the three-way tucker model

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.

Año de publicación:

2021

Keywords:

• Tucker3 model
• PCa
• greedy algorithms
• heuristic algorithms
• Three-way tables
• R Software
• SINGULAR VALUE DECOMPOSITION

Fuente:

scopus