Title
Identifiability in phylogenetics using algebraic matroids
Abstract
Identifiability is a crucial property for a statistical model since distributions in the model uniquely determine the parameters that produce them. In phylogenetics, the identifiability of the tree parameter is of particular interest since it means that phylogenetic models can be used to infer evolutionary histories from data. In this paper we introduce a new computational strategy for proving the identifiability of discrete parameters in algebraic statistical models that uses algebraic matroids naturally associated to the models. We then use this algorithm to prove that the tree parameters are generically identifiable for 2-tree CFN and K3P mixtures. We also show that the k-cycle phylogenetic network parameter is identifiable under the K2P and K3P models.
Year
DOI
Venue
2021
10.1016/j.jsc.2020.04.012
Journal of Symbolic Computation
Keywords
DocType
Volume
Identifiability,Algebraic matroids,Phylogenetics,Group-based models,Mixture models
Journal
104
ISSN
Citations 
PageRank 
0747-7171
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Benjamin Hollering100.34
Seth Sullivant29319.17