Table of Contents

1 Three-Way Principal Component Analysis with its Applications to Psychology (Kohei Adachi).- 2 Non-negative matrix factorization and its variants for audio signal processing (Hirokazu Kameoka).- 3 Generalized Tensor PCA and its Applications to Image Analysis (Kohei Inoue).- 4 Matrix Factorization for Image Processing (Noboru Murata).- 5 Arrays Normal Model and Incomplete Array Variate Observations (Deniz Akdemir).- 6 One-sided Tests for Matrix Variate Normal Distribution (Manabu Iwasa and Toshio Sakata).

Reviews

“In its six chapters it covers a large span of methods and problems of eigenvector analysis of matrices, and many-way arrays, also known as tensors. Seven authors contribute to describing and developing these techniques for practical applications of computational statistical analysis in various fields of high-dimensional data. … This monograph can serve to lecturers, graduate students, and researchers working with theoretical methods and numerical estimations in modern multivariate statistical analysis.” (Stan Lipovetsky, Technometrics, Vol. 58 (3), August, 2016)