3 papers
math.NA2025
On MAP estimates and source conditions for drift identification in SDEs
Daniel Tenbrinck, Nikolas Uesseler, Philipp Wacker +1
We consider the inverse problem of identifying the drift in an SDE from observations of its solution at distinct time points. We derive a corresponding MAP estimate, we p…
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…
math.NA2024
Convergence of spectral discretization for the flow of diffeomorphisms
Benedikt Wirth
The Large Deformation Diffeomorphic Metric Mapping (LDDMM) or flow of diffeomorphism is a classical framework in the field of shape spaces and is widely applied in mathematical ima…