9 citations · 22 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Triangulations and Canonical Forms of Amplituhedra: a fiber-based approach beyond polytopes
Fatemeh Mohammadi, Leonid Monin, Matteo Parisi
Any totally positive matrix induces a map from the positive Grassmannian to the Grassmannian , whose image is the amplituhe…
Cohomology rings of toric bundles and the ring of conditions
Johannes Hofscheier, Askold Khovanskii, Leonid Monin
The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes.Puk…
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…