Resolving the avian tree of life from top to bottom: the promise and potential boundaries of the phylogenomic era

EL Braun, J Cracraft, P Houde - Avian genomics in ecology and evolution …, 2019 - Springer
Reconstructing relationships among extant birds (Neornithes) has been one of the most
difficult problems in phylogenetics, and, despite intensive effort, the avian tree of life remains …

Quartet MaxCut: a fast algorithm for amalgamating quartet trees

S Snir, S Rao - Molecular phylogenetics and evolution, 2012 - Elsevier
Accurate phylogenetic reconstruction methods are inherently computationally heavy and
therefore are limited to relatively small numbers of taxa. Supertree construction is the task of …

Quartets MaxCut: a divide and conquer quartets algorithm

S Snir, S Rao - IEEE/ACM Transactions on Computational …, 2008 - ieeexplore.ieee.org
Accurate phylogenetic reconstruction methods are currently limited to a maximum of few
dozens of taxa. Supertree methods construct a large tree over a large set of taxa, from a set …

[图书][B] Algebraic and geometric methods in statistics

P Gibilisco - 2010 - books.google.com
This up-to-date account of algebraic statistics and information geometry explores the
emerging connections between the two disciplines, demonstrating how they can be used in …

Relevant phylogenetic invariants of evolutionary models

M Casanellas, J Fernández-Sánchez - Journal de mathématiques pures et …, 2011 - Elsevier
Recently there have been several attempts to provide a whole set of generators of the ideal
of the algebraic variety associated to a phylogenetic tree evolving under an algebraic model …

Split scores: a tool to quantify phylogenetic signal in genome-scale data

ES Allman, LS Kubatko, JA Rhodes - Systematic Biology, 2017 - academic.oup.com
Detecting variation in the evolutionary process along chromosomes is increasingly important
as whole-genome data become more widely available. For example, factors such as …

Invariant versus classical quartet inference when evolution is heterogeneous across sites and lineages

J Fernández-Sánchez, M Casanellas - Systematic biology, 2016 - academic.oup.com
One reason why classical phylogenetic reconstruction methods fail to correctly infer the
underlying topology is because they assume oversimplified models. In this article, we …

Geometry of the Kimura 3-parameter model

M Casanellas, J Fernández-Sánchez - Advances in Applied Mathematics, 2008 - Elsevier
The Kimura 3-parameter model on a tree of n leaves is one of the most used in
phylogenetics. The affine algebraic variety W associated to it is a toric variety. We study its …

Statistical learning with phylogenetic network invariants

T Barton, E Gross, C Long, J Rusinko - arXiv preprint arXiv:2211.11919, 2022 - arxiv.org
Phylogenetic networks provide a means of describing the evolutionary history of sets of
species believed to have undergone hybridization or gene flow during their evolution. The …

Topological metrizations of trees, and new quartet methods of tree inference

JA Rhodes - IEEE/ACM transactions on computational biology …, 2019 - ieeexplore.ieee.org
Topological phylogenetic trees can be assigned edge weights in several natural ways,
highlighting different aspects of the tree. Here, the rooted triple and quartet metrizations are …