9 citations · 19 across the 6 of their papers we have counts for
6 papers
The -adjoined Gauss Map and Gaussian Likelihood Geometry
Lukas Gustafsson
We introduce the F-adjoined Gauss map. We use it to express the Gaussian maximum likelihood degree as a product of two invariants. As an application of our product formula, we clas…
Conditional Euclidean distance optimization via relative tangency
Sandra Di Rocco, Lukas Gustafsson, Luca Sodomaco
We introduce a theory of relative tangency for projective algebraic varieties. The dual variety of a variety relative to a subvariety is the set of hyperplanes t…
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator
Carlos Améndola, Lukas Gustafsson, Kathlén Kohn +2
We study multivariate Gaussian statistical models whose maximum likelihood estimator (MLE) is a rational function of the observed data. We establish a one-to-one correspondence bet…
Line Multiview Ideals
Paul Breiding, Timothy Duff, Lukas Gustafsson +2
We study the following problem in computer vision from the perspective of algebraic geometry: Using pinhole cameras we take pictures of a line in . This produc…
Gaussian likelihood geometry of projective varieties
Sandra Di Rocco, Lukas Gustafsson, Luca Schaffler
We explore the maximum likelihood degree of a homogeneous polynomial on a projective variety , , which generalizes the concept of Gaussian maximum likelih…
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,…