[图书][B] Phylogeny: discrete and random processes in evolution

M Steel - 2016 - SIAM
The idea that all life on earth traces back to a common origin dates back at least to Charles
Darwin's Origin of Species. Ever since, biologists have tried to piece together parts of this …

Model-assisted evaluation and intelligent interview feedback

B Taylor, L Larsen - US Patent 9,710,790, 2017 - Google Patents
BACKGROUND Finding and hiring employees is a task that impacts most modern
businesses. It is important for an employer to find 15 employees that “fit open positions …

Lagged couplings diagnose Markov chain Monte Carlo phylogenetic inference

LJ Kelly, RJ Ryder, G Clarté - The Annals of Applied Statistics, 2023 - projecteuclid.org
Lagged couplings diagnose Markov chain Monte Carlo phylogenetic inference Page 1 The
Annals of Applied Statistics 2023, Vol. 17, No. 2, 1419–1443 https://doi.org/10.1214/22-AOAS1676 …

Ricci–Ollivier curvature of the rooted phylogenetic subtree–prune–regraft graph

C Whidden, FA Matsen IV - Theoretical Computer Science, 2017 - Elsevier
Statistical phylogenetic inference methods use tree rearrangement operations such as
subtree–prune–regraft (SPR) to perform Markov chain Monte Carlo (MCMC) across tree …

The combinatorics of discrete time-trees: theory and open problems

A Gavryushkin, C Whidden, FA Matsen IV - Journal of mathematical …, 2018 - Springer
A time-tree is a rooted phylogenetic tree such that all internal nodes are equipped with
absolute divergence dates and all leaf nodes are equipped with sampling dates. Such time …

An adjacent-swap Markov chain on coalescent trees

M Simper, JA Palacios - Journal of Applied Probability, 2022 - cambridge.org
The standard coalescent is widely used in evolutionary biology and population genetics to
model the ancestral history of a sample of molecular sequences as a rooted and ranked …

[图书][B] Double coset Markov chains

MA Simper - 2022 - search.proquest.com
Markov chains and random processes are ubiquitous in statistical and scientific applications.
The main contribution of this thesis is to introduce the study of Markov chains on double …

Monte Carlo estimation of total variation distance of Markov chains on large spaces, with application to phylogenetics

R Herbei, L Kubatko - Statistical Applications in Genetics and …, 2013 - degruyter.com
Markov chains are widely used for modeling in many areas of molecular biology and
genetics. As the complexity of such models advances, it becomes increasingly important to …