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05/17/2023
Exploring Uniform Finite Sample Stickiness
It is well known, that Fréchet means on non-Euclidean spaces may exhibit...
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04/11/2023
Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree
It has been observed that the sample mean of certain probability distrib...
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09/12/2022
Foundations of the Wald Space for Phylogenetic Trees
Evolutionary relationships between species are represented by phylogenet...
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05/25/2021
Diffusion Means in Geometric Spaces
We introduce a location statistic for distributions on non-linear geomet...
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02/28/2021
Clustering Schemes on the Torus with Application to RNA Clashes
Molecular structures of RNA molecules reconstructed from X-ray crystallo...
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02/28/2021
Finite Sample Smeariness on Spheres
Finite Sample Smeariness (FSS) has been recently discovered. It means th...
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10/16/2020
Generalized Intersection Algorithms with Fixpoints for Image Decomposition Learning
In image processing, classical methods minimize a suitable functional th...
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05/05/2020
Finite Sample Smeariness of Fréchet Means and Application to Climate
Fréchet means on manifolds are minimizers of expected squared distance, ...
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03/29/2020
Information geometry for phylogenetic trees
We propose a new space to model phylogenetic trees. It is based on a bio...
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09/14/2019
Confidence Tubes for Curves on SO(3) and Identification of Subject-Specific Gait Change after Kneeling
In order to identify changes of gait patterns, e.g. due to prolonged occ...
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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...
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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...
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01/19/2018