3 papers
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…
stat.ME2023
Exploring Uniform Finite Sample Stickiness
Susanne Ulmer, Do Tran Van, Stephan F. Huckemann
It is well known, that Fréchet means on non-Euclidean spaces may exhibit nonstandard asymptotic rates depending on curvature. Even for distributions featuring standard asymptotic r…
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…