@article{Choulakian_2016, title={Matrix Factorizations based on induced norms}, volume={4}, url={http://iapress.org/index.php/soic/article/view/20160301}, DOI={10.19139/soic.v4i1.160}, abstractNote={<p>We decompose a matrix Y into a sum of bilinear terms in a stepwise manner, by considering Y as a mapping between two finite dimensional Banach spaces. 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.</p&gt;}, number={1}, journal={Statistics, Optimization & Information Computing}, author={Choulakian, Vartan Ohanes}, year={2016}, month={Feb.}, pages={1-14} }