86 citations · 126 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Clustering Schemes on the Torus with Application to RNA Clashes
Henrik Wiechers, Benjamin Eltzner, Stephan F. Huckemann +1
Molecular structures of RNA molecules reconstructed from X-ray crystallography frequently contain errors. Motivated by this problem we examine clustering on a torus since RNA shape…
Analyzing cross-talk between superimposed signals: Vector norm dependent hidden Markov models and applications to ion channels
Laura Jula Vanegas, Benjamin Eltzner, Daniel Rudolf +3
We propose and investigate a hidden Markov model (HMM) for the analysis of dependent, aggregated, superimposed two-state signal recordings. A major motivation for this work is that…
Diffusion Means and Heat Kernel on Manifolds
Pernille Hansen, Benjamin Eltzner, Stefan Sommer
We introduce diffusion means as location statistics on manifold data spaces. A diffusion mean is defined as the starting point of an isotropic diffusion with a given diffusivity. T…
Finite Sample Smeariness on Spheres
Benjamin Eltzner, Shayan Hundrieser, Stephan F. Huckemann
Finite Sample Smeariness (FSS) has been recently discovered. It means that the distribution of sample Fréchet means of underlying rather unsuspicious random variables can behave as…
Smeariness Begets Finite Sample Smeariness
Do Tran, Benjamin Eltzner, Stephan Huckemann
Fréchet means are indispensable for nonparametric statistics on non-Euclidean spaces. For suitable random variables, in some sense, they "sense" topological and geometric structure…