Low Rank Tensor Decompositions and Approximations
Abstract
There exist linear relations among tensor entries of low rank tensors. These linear relations can be expressed by multilinear polynomials, which are called generating polynomials. We use generating polynomials to compute tensor rank decompositions and low rank tensor approximations. We prove that this gives a quasioptimal low rank tensor approximation if the given tensor is sufficiently close to a low rank one.
 Publication:

arXiv eprints
 Pub Date:
 August 2022
 arXiv:
 arXiv:2208.07477
 Bibcode:
 2022arXiv220807477N
 Keywords:

 Mathematics  Numerical Analysis