5 papers
Sensitive vPSA -- Exploring Sensitivity in Visual Parameter Space Analysis
Bernhard Fröhler, Tim Elberfeld, Torsten Möller +3
The sensitivity of parameters in computational science problems is difficult to assess, especially for algorithms with multiple input parameters and diverse outputs. This work seek…
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…
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…
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…
Geodesic analysis in Kendall's shape space with epidemiological applications
Esfandiar Nava-Yazdani, Hans-Christian Hege, T. J. Sullivan +1
We analytically determine Jacobi fields and parallel transports and compute geodesic regression in Kendall's shape space. Using the derived expressions, we can fully leverage the g…