Emergent Mind
Low Rank Tensor Decompositions and Approximations
(2208.07477)
Published Aug 16, 2022
in
math.NA
and
cs.NA
Abstract
There exist linear relations among tensor entries of low rank tensors. These linear relations can be expressed by multi-linear 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 quasi-optimal low rank tensor approximation if the given tensor is sufficiently close to a low rank one.
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