An algebraic algorithm for rank-2 ParaTuck-2 decomposition

02/02/2023

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by   Konstantin Usevich, et al.

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In this note we consider the problem of ParaTuck-2 decomposition of a complex three-way tensor.We provide an algebraic algorithm for finding the rank-2 decomposition for ParaTuck-2 tensors.Our approach relies only on linear algebra operations and is based on finding the kernel of a structured matrix constructed from the tensor.