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…
q-bio.QM2019
Towards Shape-based Knee Osteoarthritis Classification using Graph Convolutional Networks
Christoph von Tycowicz
We present a transductive learning approach for morphometric osteophyte grading based on geometric deep learning. We formulate the grading task as semi-supervised node classificati…
math.OC2019
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…