3 papers
math.ST2024
Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance
Jane Ivy Coons, Shelby Cox, Aida Maraj +1
A Brownian motion tree (BMT) model is a Gaussian model whose associated set of covariance matrices is linearly constrained according to common ancestry in a phylogenetic tree. We s…
math.AG2024
Degrees of the Wasserstein Distance to Small Toric Models
Greg DePaul, Serkan Hoşten, Nilava Metya +1
The study of the closest point(s) on a statistical model from a given distribution in the probability simplex with respect to a fixed Wasserstein metric gives rise to a polyhedral…
math.AG2023
The Pfaffian Structure of CFN Phylogenetic Networks
Joseph Cummings, Elizabeth Gross, Benjamin Hollering +2
Algebraic techniques in phylogenetics have historically been successful at proving identifiability results and have also led to novel reconstruction algorithms. In this paper, we s…