Paper Info
Title
Brownian Motion Tree Models Are Toric
Abstract
Felsenstein's classical model for Gaussian distributions on a phylogenetic tree is shown to be a toric variety in the space of concentration matrices. We present an exact semialgebraic characterization of this model, and we demonstrate how the toric structure leads to exact methods for maximum likelihood estimation. Our results also give new insights into the geometry of ultrametric matrices.
Year
DOI
Venue
2020
10.14736/kyb-2020-6-1154
KYBERNETIKA
Keywords
DocType
Volume
Brownian motion tree model, ultrametric matrices, toric geometry
Journal
56
Issue
ISSN
Citations 
6
0023-5954
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Bernd Sturmfels1926136.85
Caroline Uhler212916.91
Piotr Zwiernik381.66