Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models

Aida Maraj; Christopher Eur; Frank R\"ottger; Jane Ivy Coons; Tobias Boege

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Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models

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arxiv 2009.11849 v2 pith:XY67EZ5M submitted 2020-09-24 math.ST math.AGstat.TH

Tobias Boege , Jane Ivy Coons , Christopher Eur , Aida Maraj , Frank Röttger This is my paper · ORCID

classification math.STmath.AGstat.TH

keywords treemodelsbrownianmotionlikelihoodmaximumreciprocaltoric

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We give an explicit formula for the reciprocal maximum likelihood degree of Brownian motion tree models. To achieve this, we connect them to certain toric (or log-linear) models, and express the Brownian motion tree model of an arbitrary tree as a toric fiber product of star tree models.

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