3 papers
q-bio.PE2024
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…
math.ST2023
Sticky Flavors
Lars Lammers, Do Tran Van, Stephan F. Huckemann
The Fréchet mean, a generalization to a metric space of the expectation of a random variable in a vector space, can exhibit unexpected behavior for a wide class of random variables…
math.ST2023
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…