• Mathematics, Computer Science
  • Published in SIAM J. Appl. Algebra Geom. 2016
  • DOI:10.1137/16M1108388

Identifiability of an X-Rank Decomposition of Polynomial Maps

@article{Comon2016IdentifiabilityOA,
  title={Identifiability of an X-Rank Decomposition of Polynomial Maps},
  author={Pierre Comon and Yang Qi and Konstantin Usevich},
  journal={SIAM J. Appl. Algebra Geom.},
  year={2016},
  volume={1},
  pages={388-414}
}
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. We try to make the results and basic tools accessible to a… CONTINUE READING
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