Nov 11, 2025 polyhedral-geometry combinatorics triangulations MLBN
My paper on a geometric analysis of the (generalized) maximum likelihood estimator for MLBNs just dropped on the arXiv. This goes into minimum bounding polytropes of finite sets of points and I raise a fun little question about set coverings of the dual regular subdivisions.
Oct 3, 2025 tropical-geometry MLBN graphs hyperplanes preprint
Our article about max-linear Bayesian networks and the combinatorics of their associated polytropes has finally been accepted into the Journal of Symbolic Computation for the special issue for MEGA 2024.
Jul 10, 2025 tropical-geometry MLBN graphs hyperplanes preprint
The fourth version to our paper about max-linear Bayesian networks and the combinatorics of their associated polytropes appeared on arXiv. This is joint work with Carlos Améndola.
Jun 17, 2025 tropical-geometry MLBN graphs hyperplane-arrangements slides
These are slides for an expository talk given at the Institute for Theoretical Computer Science of the Universität zu Lübeck in June 2025. It serves as an overview for our paper on the tropical combinatorial classification of max-linear Bayesian networks, but also contains somewhat of an introduction to tropical polyhedra and different geometric constructions for them.