Listar por autor "Ottaviani, Giorgio"
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Best rank k approximation for binary forms.
Ottaviani, Giorgio; Tocino-Sánchez, Alicia
(Springer Nature, 2017-09-11)
In the tensor space SymdR2 of binary forms we study the best rank k approximation problem. The critical points of the best rank 1 approximation problem are the eigenvectors and it is known that they span a hyperplane. ... -
Best rank-k approximations for tensors: generalizing Eckart–Young
Draisma, Jan; Ottaviani, Giorgio; Tocino-Sánchez, Alicia (Springer Link, 2018)
Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we call the critical rank-at-most-k tensors for f. When ...