Showing math.STShow all
3 papers · 1 filter
math.ST2025
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…
math.ST2024
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…
math.ST2024
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…