86 citations · 362 across the 37 of their papers we have counts for
43 papers
Der Stern von Bethlehem -- Einige Theorien und Hintergruende: Von der altorientalischen Astrologie ueber Kepler zu Newton
Stephan F. Huckemann
Many have have taken in hand to write a treatise on the Star of Bethlehem, particularly on Kepler's explanation as a stellar birth, triggered by Mars joining a great conjunction (a…
Zero Probability of the Cut Locus of a Fréchet Mean on a Riemannian Manifold
Alexander Lytchak, Stephan F. Huckemann
We show that the cut locus of a Fréchet mean of a random variable on a connected and complete Riemanian manifold has zero probability, a result known previously in special cases an…
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…
Constrained Shape Analysis with Applications to RNA Structure
Kanti V. Mardia, Benjamin Eltzner, Stephan F. Huckemann
In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, an…
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…
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…