We prove a criterion for the identifiability of symmetric tensors P of type 3 × · · · × 3, d times, whose rank k is bounded by (d2 + 2d)/8. The criterion is based on the study of the Hilbert function of a set of points P1,...,Pk which computes the rank of the tensor P.
A criterion for detecting the identifiability of symmetric tensors of size three
Ballico, Edoardo;
2012-01-01
Abstract
We prove a criterion for the identifiability of symmetric tensors P of type 3 × · · · × 3, d times, whose rank k is bounded by (d2 + 2d)/8. The criterion is based on the study of the Hilbert function of a set of points P1,...,Pk which computes the rank of the tensor P.File in questo prodotto:
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