3 papers
math.AC2025
The Likelihood Correspondence
Thomas Kahle, Hal Schenck, Bernd Sturmfels +1
An arrangement of hypersurfaces in projective space is strict normal crossing (SNC) if and only if its Euler discriminant is nonzero. We study the critical loci of arbitrary Lauren…
math.ST2024
Lattice supported distributions and graphical models
Thomas Kahle, Seth Sullivant
For the distributions of finitely many binary random variables, we study the interaction of restrictions of the supports with conditional independence constraints. We prove a gener…
math.AC2024
Arrangements and Likelihood
Thomas Kahle, Lukas Kühne, Leonie Mühlherr +2
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This o…