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math.OC2024
Moment-sos and spectral hierarchies for polynomial optimization on the sphere and quantum de Finetti theorems
Alexander Taveira Blomenhofer, Monique Laurent
We revisit the convergence analysis of two approximation hierarchies for polynomial optimization on the unit sphere. The first one is based on the moment-sos approach and gives sem…
math.AG2024
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…