Brownian motion tree models are toric

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 char-acterization of this model, and we demonstrate how the toric structure leads to exact methods for maximum...

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Bibliographic Details
Main Authors: Sturmfels, Bernd, Uhler, Caroline, Zwiernik, Piotr
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Institute of Information Theory and Automation 2022
Online Access:https://hdl.handle.net/1721.1/143914

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