Matrix Factorizations Based on Induced Norms
Applications
2015-08-28 v1
Abstract
We decompose a matrix Y into a sum of bilinear terms in a stepwise manner, by considering Y as a mapping from a finite dimensional Banach space into another finite dimensional Banach space. We provide transition formulas, and represent them in a duality diagram, thus generalizing the well known duality diagram in the french school of data analysis. As an application, we introduce a family of Euclidean multidimensional scaling models.
Cite
@article{arxiv.1508.06864,
title = {Matrix Factorizations Based on Induced Norms},
author = {Vartan Choulakian},
journal= {arXiv preprint arXiv:1508.06864},
year = {2015}
}
Comments
20 pages