86 citations · 126 across the 17 of their papers we have counts for
22 papers
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…
The Long Time Limit of Diffusion Means
Till Düsberg, Benjamin Eltzner
In statistics on manifolds, the notion of the mean of a probability distribution becomes more involved than in a linear space. Several location statistics have been proposed, which…
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…
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.…
Diffusion Means in Geometric Spaces
Benjamin Eltzner, Pernille Hansen, Stephan F. Huckemann +1
We introduce a location statistic for distributions on non-linear geometric spaces, the diffusion mean, serving as an extension and an alternative to the Fréchet mean. The diffusio…