9 citations · 13 across the 4 of their papers we have counts for
8 papers · 1 filter
Voronoi diagrams of algebraic varieties under polyhedral norms
Adrian Becedas, Kathlén Kohn, Lorenzo Venturello
We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties…
The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices
Carlos Améndola, Lukas Gustafsson, Kathlén Kohn +2
We study multivariate Gaussian models that are described by linear conditions on the concentration matrix. We compute the maximum likelihood (ML) degrees of these models. That is,…
Linear Spaces of Symmetric Matrices with Non-Maximal Maximum Likelihood Degree
Kathlen Kohn, Rosa Winter, Yuhan Jiang
We study the maximum likelihood degree of linear concentration models in algebraic statistics. We relate the geometry of the reciprocal variety to that of semidefinite programming.…
Maximum Likelihood Estimation for Nets of Conics
Stefan Dye, Kathlén Kohn, Felix Rydell +1
We study the problem of maximum likelihood estimation for -dimensional linear spaces of symmetric matrices from the point of view of algebraic statistics where we vi…
Projective geometry of Wachspress coordinates
Kathlén Kohn, Kristian Ranestad
We show that there is a unique hypersurface of minimal degree passing through the non-faces of a polytope which is defined by a simple hyperplane arrangement. This generalizes the…
Isotropic and Coisotropic Subvarieties of Grassmannians
Kathlén Kohn, James Mathews
We generalize the notion of coisotropic hypersurfaces to subvarieties of Grassmannians having arbitrary codimension. To every projective variety X, Gel'fand, Kapranov and Zelevinsk…