Identifiability of the Rooted Tree Parameter under the Cavender-Farris-Neyman Model with a Molecular Clock

no code implementations • 21 Mar 2023 • Jane Ivy Coons, Benjamin Hollering

Identifiability of the discrete tree parameter is a key property for phylogenetic models since it is necessary for statistically consistent estimation of the tree from sequence data.

Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman Model

no code implementations • 5 Feb 2021 • Joseph Cummings, Benjamin Hollering, Christopher Manon

Phylogenetic networks can model more complicated evolutionary phenomena that trees fail to capture such as horizontal gene transfer and hybridization.

Generalized Cut Polytopes for Binary Hierarchical Models

1 code implementation • 31 Jul 2020 • Jane Ivy Coons, Joseph Cummings, Benjamin Hollering, Aida Maraj

Marginal polytopes are important geometric objects that arise in statistics as the polytopes underlying hierarchical log-linear models.

Combinatorics Statistics Theory Statistics Theory 52B12, 52B20, 52B40, 52B35