An algebraic algorithm for the ParaTuck-2 decomposition
Résumé
In this note we consider the problem of ParaTuck-2 decomposition of a three-way tensor.
We provide an algebraic algorithm for finding the ParaTuck-2 decomposition for the case when the ParaTuck-2 ranks are smaller than the frontal dimensions of the tensors.
Our approach relies only on linear algebra operations and is based on finding the kernel of a structured matrix constructed from the tensor.
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