40 citations · 460 across the 64 of their papers we have counts for
5 papers · 1 filter
A note on seminormality of cut polytopes
Michał Lasoń, Mateusz Michałek
We prove that seminormality of cut polytopes is equivalent to normality. This settles two conjectures regarding seminormality of cut polytopes.
Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
Laurent Manivel, Mateusz Michałek, Leonid Monin +2
We establish connections between: the maximum likelihood degree (ML-degree) for linear concentration models, the algebraic degree of semidefinite programming (SDP), and Schubert ca…
Border rank non-additivity for higher order tensors
Matthias Christandl, Fulvio Gesmundo, Mateusz Michałek +1
Whereas matrix rank is additive under direct sum, in 1981 Schönhage showed that one of its generalizations to the tensor setting, tensor border rank, can be strictly subadditive fo…
Gorenstein matroids
Michał Lasoń, Mateusz Michałek
Matroid base polytope and independence polytope are Cohen-Macaulay. There are plenty of examples when they are also Gorenstein. We provide a full classification of matroids whose i…
Maximum likelihood degree, complete quadrics and -action
Mateusz Michałek, Leonid Monin, Jarosław Wiśniewski
We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. Thi…