71 citations · 183 across the 34 of their papers we have counts for
7 papers · 1 filter
Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants
Jeremy G Sumner, Amelia Taylor, Barbara R Holland +1
Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these a…
Adventures in Invariant Theory
P. D. Jarvis, J. G. Sumner
We provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualised via two case studies arising fro…
Low-parameter phylogenetic estimation under the general Markov model
Barbara R. Holland, Peter D. Jarvis, Jeremy G. Sumner
In their 2008 and 2009 papers, Sumner and colleagues introduced the "squangles" - a small set of Markov invariants for phylogenetic quartets. The squangles are consistent with the…
Markov invariants for phylogenetic rate matrices derived from embedded submodels
P. D. Jarvis, J. G. Sumner
We consider novel phylogenetic models with rate matrices that arise via the embedding of a progenitor model on a small number of character states, into a target model on a larger n…
Markov invariants and the isotropy subgroup of a quartet tree
J G Sumner, P D Jarvis
The purpose of this article is to show how the isotropy subgroup of leaf permutations on binary trees can be used to systematically identify tree-informative invariants relevant to…
Phylogenetic estimation with partial likelihood tensors
J. G. Sumner, M. A. Charleston
We present an alternative method for calculating likelihoods in molecular phylogenetics. Our method is based on partial likelihood tensors, which are generalizations of partial lik…