5 citations · 6 across the 10 of their papers we have counts for
6 papers · 1 filter
Border rank=rank for Kruskal tensors and a Kruskal's theorem for skew decompositions
Alexander Taveira Blomenhofer, Benjamin Lovitz
We show that border rank is equal to rank for Kruskal tensors. We also give an analogous Kruskal condition for alternating tensors, which certifies uniqueness of skew rank decompos…
On defectivity of joins, reducible secants and Fröberg's conjecture
Alexander Blomenhofer, Alex Casarotti
We introduce the notion of r-defectivity for a vector bundle on a quasi-projective variety. Using this tool, we prove several previously unknown cases of Fröberg's conjecture and a…
Nondefectivity of invariant secant varieties
Alexander Taveira Blomenhofer, Alex Casarotti
We show that a large class of secant varieties is nondefective. In particular, we positively resolve most cases of the Baur-Draisma-de Graaf conjecture on Grassmannian secants in l…
Gaussian Mixture Identifiability from degree 6 Moments
Alexander Taveira Blomenhofer
We resolve most cases of identifiability from sixth-order moments for Gaussian mixtures on spaces of large dimensions. Our results imply that the parameters of a generic mixture of…
Unique powers-of-forms decompositions from simple Gram spectrahedra
Alexander Taveira Blomenhofer
We consider simultaneous Waring decompositions: Given forms of degrees , , which admit a representation as -th power sums of -forms $ q_1,\ldot…
Identifiability for mixtures of centered Gaussians and sums of powers of quadratics
Alexander Taveira Blomenhofer, Alex Casarotti, Alessandro Oneto +1
We consider the inverse problem for the polynomial map which sends an -tuple of quadratic forms in variables to the sum of their -th powers. This map captures the moment…