3 papers
math.ST2021
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…
stat.ME2021
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…
stat.ME2021
Currents and K-functions for Fiber Point Processes
Pernille EH. Hansen, Rasmus Waagepetersen, Anne Marie Svane +4
Analysis of images of sets of fibers such as myelin sheaths or skeletal muscles must account for both the spatial distribution of fibers and differences in fiber shape. This necess…