4 papers
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…
Efficiently deciding if an ideal is toric after a linear coordinate change
Thomas Kahle, Julian Vill
We propose an effective algorithm that decides if a prime ideal in a polynomial ring over the complex numbers can be transformed into a toric ideal by a linear automorphism of the…
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…
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…