research
∙
07/23/2023
Drift Models on Complex Projective Space for Electron-Nuclear Double Resonance
ENDOR spectroscopy is an important tool to determine the complicated thr...
share
research
∙
05/25/2021
Diffusion Means in Geometric Spaces
We introduce a location statistic for distributions on non-linear geomet...
research
∙
03/10/2021
Analyzing cross-talk between superimposed signals: Vector norm dependent hidden Markov models and applications
We propose and investigate a hidden Markov model (HMM) for the analysis ...
research
∙
02/28/2021
Diffusion Means and Heat Kernel on Manifolds
We introduce diffusion means as location statistics on manifold data spa...
research
∙
02/28/2021
Clustering Schemes on the Torus with Application to RNA Clashes
Molecular structures of RNA molecules reconstructed from X-ray crystallo...
research
∙
02/28/2021
Finite Sample Smeariness on Spheres
Finite Sample Smeariness (FSS) has been recently discovered. It means th...
research
∙
11/30/2020
Testing for Uniqueness of Estimators
Uniqueness of the population value of an estimated descriptor is a stand...
research
∙
05/05/2020
Finite Sample Smeariness of Fréchet Means and Application to Climate
Fréchet means on manifolds are minimizers of expected squared distance, ...
research
∙
09/01/2019
Stability of the Cut Locus and a Central Limit Theorem for Fréchet Means of Riemannian Manifolds
We obtain a Central Limit Theorem for closed Riemannian manifolds, clari...
research
∙
08/12/2019
Measure Dependent Asymptotic Rate of the Mean: Geometrical Smeariness
The central limit theorem (CLT) for the mean in Euclidean space features...
research
∙
08/12/2019
Measure Dependent Asymptotic Rate of the Mean: Geometrical and Topological Smeariness
We revisit the generalized central limit theorem (CLT) for the Fréchet m...
research
∙
01/19/2018
A Smeary Central Limit Theorem for Manifolds with Application to High Dimensional Spheres
The (CLT) central limit theorems for generalized Frechet means (data des...
research
∙
08/18/2014