Identifiability of an X-Rank Decomposition of Polynomial Maps
Identifiability of an X-Rank Decomposition of Polynomial Maps
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 …