40 citations · 460 across the 64 of their papers we have counts for
3 papers · 2 filters
Exponential Varieties
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler +1
Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties a…
Local description of phylogenetic group-based models
Marta Casanellas, Jesús Fernández-Sánchez, Mateusz Michałek
Motivated by phylogenetics, our aim is to obtain a system of equations that define a phylogenetic variety on an open set containing the biologically meaningful points. In this pape…
Secants of minuscule and cominuscule minimal orbits
Laurent Manivel, Mateusz Michałek
We study the geometry of the secant and tangential variety of a cominuscule and minuscule variety, e.g. a Grassmannian or a spinor variety. Using methods inspired by statistics we…