Identifiability of 3-Class Jukes-Cantor Mixtures

Colby Long; Seth Sullivant

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arXiv · 1406.7256

Identifiability of 3-Class Jukes-Cantor Mixtures

Colby Long·Seth Sullivant

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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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Colby Long, Seth Sullivant. 2014-06-27. Identifiability of 3-Class Jukes-Cantor Mixtures. https://arxiv.org/abs/1406.7256

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