Multilinear Common Component Analysis via Kronecker Product Representation
Machine Learning
2020-11-23 v2 Machine Learning
Methodology
Abstract
We consider the problem of extracting a common structure from multiple tensor datasets. For this purpose, we propose multilinear common component analysis (MCCA) based on Kronecker products of mode-wise covariance matrices. MCCA constructs a common basis represented by linear combinations of the original variables which loses as little information of the multiple tensor datasets. We also develop an estimation algorithm for MCCA that guarantees mode-wise global convergence. Numerical studies are conducted to show the effectiveness of MCCA.
Keywords
Cite
@article{arxiv.2009.02695,
title = {Multilinear Common Component Analysis via Kronecker Product Representation},
author = {Kohei Yoshikawa and Shuichi Kawano},
journal= {arXiv preprint arXiv:2009.02695},
year = {2020}
}
Comments
35 pages, 7 figures