4 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…
M-Variance Asymptotics and Uniqueness of Descriptors
Benjamin Eltzner
Asymptotic theory for M-estimation problems usually focuses on the asymptotic convergence of the sample descriptor, defined as the minimizer of the sample loss function. Here, we e…
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…