Identifiability of 3-Class Jukes-Cantor Mixtures

2014/06/27 by Colby Long, Long, Colby, Seth Sullivant +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic Geometry (math.AG) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #math.AG #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1406.7256

16 pages, 7 figures

arxiv created 2014/08/09 · arxiv updated 2014/08/12

Abstract

We prove identifiability of the tree parameters of the 3-class Jukes-Cantor mixture model. The proof uses ideas from algebraic statistics, in particular: finding phylogenetic invariants that separate the varieties associated to different triples of trees; computing dimensions of the resulting phylogenetic varieties; and using the disentangling number to reduce to trees with a small number of leaves. Symbolic computation also plays a key role in handling the many different cases and finding relevant phylogenetic invariants.

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• Identifiability of Large Phylogenetic Mixtures for Many Phylogenetic Model Structures

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