Identifiability of an X-rank decomposition of polynomial maps

Pierre Comon; Yang Qi; Konstantin Usevich

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arXiv · 1603.01566

Identifiability of an X-rank decomposition of polynomial maps

Pierre Comon·Yang Qi·Konstantin Usevich

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Abstract

In this paper, we study a polynomial decomposition model that arises in problems of system identification, signal processing and machine learning. We show that this decomposition is a special case of the X-rank decomposition --- a powerful novel concept in algebraic geometry that generalizes the tensor CP decomposition. We prove new results on generic/maximal rank and on identifiability of a particular polynomial decomposition model. In the paper, we try to make results and basic tools accessible for general audience (assuming no knowledge of algebraic geometry or its prerequisites).

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BibTeX RIS

Pierre Comon, Yang Qi, Konstantin Usevich. 2016-03-04. Identifiability of an X-rank decomposition of polynomial maps. https://arxiv.org/abs/1603.01566

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