Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624682 | Advances in Applied Mathematics | 2015 | 22 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Colby Long, Seth Sullivant,