3 papers
stat.ME2022
A Nonlinear Hierarchical Model for Longitudinal Data on Manifolds
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
Large longitudinal studies provide lots of valuable information, especially in medical applications. A problem which must be taken care of in order to utilize their full potential…
math.ST2020
Bi-invariant Two-Sample Tests in Lie Groups for Shape Analysis
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
We propose generalizations of the Hotelling's statistic and the Bhattacharayya distance for data taking values in Lie groups. A key feature of the derived measures is that th…
math.OC2020
Nonlinear Regression on Manifolds for Shape Analysis using Intrinsic Bézier Splines
Martin Hanik, Hans-Christian Hege, Anaja Hennemuth +1
Intrinsic and parametric regression models are of high interest for the statistical analysis of manifold-valued data such as images and shapes. The standard linear ansatz has been…