Matrix Factorizations Based on Induced Norms

Vartan Choulakian

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arXiv · 1508.06864

Matrix Factorizations Based on Induced Norms

Vartan Choulakian

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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.

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Vartan Choulakian. 2015-08-27. Matrix Factorizations Based on Induced Norms. https://arxiv.org/abs/1508.06864

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