22 citations · 24 across the 4 of their papers we have counts for
6 papers
Brownian motion, bridges and Bayesian inference in phylogenetic tree space
William M. Woodman, Tom M. W. Nye
Billera-Holmes-Vogtmann (BHV) tree space is a geodesic metric space of edge-weighted phylogenetic trees with a fixed leaf set. Constructing parametric distributions on this space i…
Statistics for Phylogenetic Trees in the Presence of Stickiness
Lars Lammers, Tom M. W. Nye, Stephan F. Huckemann
Samples of phylogenetic trees arise in a variety of evolutionary and biomedical applications, and the Fréchet mean in Billera-Holmes-Vogtmann tree space is a summary tree shown to…
Manifold-valued models for analysis of EEG time series data
Tao Ding, Tom M. W. Nye, Yujiang Wang
We propose a model for time series taking values on a Riemannian manifold and fit it to time series of covariance matrices derived from EEG data for patients suffering from epileps…
Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree
Lars Lammers, Do Tran Van, Tom M. W. Nye +1
It has been observed that the sample mean of certain probability distributions in Billera-Holmes-Vogtmann (BHV) phylogenetic spaces is confined to a lower-dimensional subspace for…
Principal component analysis and the locus of the Frechet mean in the space of phylogenetic trees
Tom M. W. Nye, Xiaoxian Tang, Grady Weyenberg +1
Most biological data are multidimensional, posing a major challenge to human comprehension and computational analysis. Principal component analysis is the most popular approach to…
An algorithm for constructing principal geodesics in phylogenetic treespace
Tom M. W. Nye
Most phylogenetic analyses result in a sample of trees, but summarizing and visualizing these samples can be challenging. Consensus trees often provide limited information about a…