Tucker-3 decomposition with sparse core array using a penalty function based on Gini-index

• Published in: Japanese journal of statistics and data science Vol. 5; no. 2; pp. 675 - 700
• Main Authors: Tsuchida, Jun, Yadohisa, Hiroshi
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.12.2022
• Subjects: Chemistry and Earth Sciences; Computer Science; Economics; Finance; Health Sciences; Humanities; Insurance; Law; Management; Mathematics and Statistics; Medicine; Original Paper; Physics; Statistical Theory and Methods; Statistics; Statistics and Computing/Statistics Programs; Statistics for Business; Statistics for Engineering; Statistics for Life Sciences; Statistics for Social Sciences; Tensor decomposition; Alternating least squares; Dimensional reduction; Regularized method

Tucker-3 decomposition is a dimension reduction method for tensor data, similar to principal component analysis. One of the characteristics of Tucker-3 is the core array, which represents the interactions between low-dimensional spaces. However, it is difficult to interpret the result when the numbe...