61 citations · 62 across the 5 of their papers we have counts for
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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…