4 papers
Extension complexity and realization spaces of hypersimplices
Francesco Grande, Arnau Padrol, Raman Sanyal
The (n,k)-hypersimplex is the convex hull of all 0/1-vectors of length n with coordinate sum k. We explicitly determine the extension complexity of all hypersimplices as well as of…
Many 2-level polytopes from matroids
Francesco Grande, Juanjo Rué
The family of 2-level matroids, that is, matroids whose base polytope is 2-level, has been recently studied and characterized by means of combinatorial properties. 2-level matroids…
Theta rank, levelness, and matroid minors
Francesco Grande, Raman Sanyal
The Theta rank of a finite point configuration is the maximal degree necessary for a sum-of-squares representation of a non-negative linear function on . This is an importan…
The maximum likelihood degree of Fermat hypersurfaces
Daniele Agostini, Davide Alberelli, Francesco Grande +1
We study the critical points of the likelihood function over the Fermat hypersurface. This problem is related to one of the main problems in statistical optimization: maximum likel…