33 citations · 116 across the 33 of their papers we have counts for
5 papers · 1 filter
Bridge Simulation and Metric Estimation on Lie Groups
Mathias Højgaard Jensen, Sarang Joshi, Stefan Sommer
We present a simulation scheme for simulating Brownian bridges on complete and connected Lie groups. We show how this simulation scheme leads to absolute continuity of the Brownian…
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…
Geometry of Sample Spaces
Philipp Harms, Peter W. Michor, Xavier Pennec +1
In statistics, independent, identically distributed random samples do not carry a natural ordering, and their statistics are typically invariant with respect to permutations of the…
Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions
Line Kühnel, Alexis Arnaudon, Tom Fletcher +1
Modelling deformation of anatomical objects observed in medical images can help describe disease progression patterns and variations in anatomy across populations. We apply a stoch…
An Infinitesimal Probabilistic Model for Principal Component Analysis of Manifold Valued Data
Stefan Sommer
We provide a probabilistic and infinitesimal view of how the principal component analysis procedure (PCA) can be generalized to analysis of nonlinear manifold valued data. Starting…