86 citations · 362 across the 37 of their papers we have counts for
12 papers · 1 filter
Two-Sample Tests for Optimal Lifts, Manifold Stability and Reverse Labeling Reflection Shap
Do Tran Van, Susovan Pal, Benjamin Eltzner +1
We consider a quotient of a complete Riemannian manifold modulo an isometrically and properly acting Lie group and lifts of the quotient to the manifolds in optimal position to a r…
A Lower Bound for Estimating Fréchet Means
Shayan Hundrieser, Benjamin Eltzner, Stephan F. Huckemann
Fréchet means, conceptually appealing, generalize the Euclidean expectation to general metric spaces. We explore how well Fréchet means can be estimated from independent and identi…
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…
Drift Models on Complex Projective Space for Electron-Nuclear Double Resonance
Henrik Wiechers, Markus Zobel, Marina Bennati +4
ENDOR spectroscopy is an important tool to determine the complicated three-dimensional structure of biomolecules and in particular enables measurements of intramolecular distances.…
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…
Foundations of the Wald Space for Phylogenetic Trees
Jonas Lueg, Maryam K. Garba, Tom M. W. Nye +1
Evolutionary relationships between species are represented by phylogenetic trees, but these relationships are subject to uncertainty due to the random nature of evolution. A geomet…