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A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model
Mathematics ( IF 2.3 ) Pub Date : 2021-01-20 , DOI: 10.3390/math9030203
Carlos Martin-Barreiro , John A. Ramirez-Figueroa , Ana B. Nieto-Librero , Víctor Leiva , Ana Martin-Casado , M. Purificación Galindo-Villardón

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.

中文翻译:

三向塔克模型中不正交正交分量计算的新算法

三向塔克模型中用于计算分量的传统方法的主要缺点之一是最终加载矩阵的复杂结构,无法轻松解释所获得的结果。在本文中,我们提出了一种启发式算法,用于计算不相交的正交分量,有利于三向数据的分析和结果的解释。我们在进行的计算实验中观察到,我们的新算法改善了这一缺点,生成具有简单结构的最终加载矩阵,然后更易于解释。提供了带有实际数据的插图,以显示该算法的潜在应用。
更新日期:2021-01-20
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