61 citations · 252 across the 27 of their papers we have counts for
28 papers
On schemes evinced by generalized additive decompositions and their regularity
Alessandra Bernardi, Alessandro Oneto, Daniele Taufer
We define and explicitly construct schemes evinced by generalized additive decompositions (GADs) of a given -homogeneous polynomial . We employ GADs to investigate the regula…
Hadamard-Hitchcock decompositions: identifiability and computation
Alessandro Oneto, Nick Vannieuwenhoven
A Hadamard-Hitchcock decomposition of a multidimensional array is a decomposition that expresses the latter as a Hadamard product of several tensor rank decompositions. Such decomp…
Waring decompositions of special ternary forms with different Hilbert functions
Elena Angelini, Luca Chiantini, Alessandro Oneto
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. Thi…
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…
The normal map for plane curves and pathologies in positive characteristic
Edoardo Ballico, Alessandro Oneto
We study the normal map for plane projective curves, i.e., the map associating to every regular point of the curve the normal line at the point in the dual space. We first observe…
Secant non-defectivity via collisions of fat points
Francesco Galuppi, Alessandro Oneto
Secant defectivity of projective varieties is classically approached via dimensions of linear systems with multiple base points in general position. The latter can be studied via d…