3 papers
cs.LG2026
Geodesic Calculus on Implicitly Defined Latent Manifolds
Florine Hartwig, Josua Sassen, Juliane Braunsmann +2
Latent manifolds of autoencoders provide low-dimensional representations of data, which can be studied from a geometric perspective. We propose to describe these latent manifolds a…
cs.RO2026
Sub--Riemannian boundary value problems for Optimal Geometric Locomotion
Oliver Gross, Florine Hartwig, Martin Rumpf +1
We propose a geometric model for optimal shape-change-induced motions of slender locomotors, e.g., snakes slithering on sand. In these scenarios, the motion of a body in world coor…
math.NA2025
Discrete Geodesic Calculus in the Space of Sobolev Curves
Sascha Beutler, Florine Hartwig, Martin Rumpf +1
The Riemannian manifold of curves with a Sobolev metric is an important and frequently studied model in the theory of shape spaces. Various numerical approaches have been proposed…