180 citations · 275 across the 19 of their papers we have counts for
23 papers
Maximum Discrepancy Generative Regularization and Non-Negative Matrix Factorization for Single Channel Source Separation
Martin Ludvigsen, Markus Grasmair
The idea of adversarial learning of regularization functionals has recently been introduced in the wider context of inverse problems. The intuition behind this method is the realiz…
Parameter identification in PDEs by the solution of monotone inclusion problems
Pankaj Gautam, Markus Grasmair
In this paper we consider the solution of monotone inverse problems using the particular example of a parameter identification problem for a semilinear parabolic PDE. For the regul…
Adversarial Generative NMF for Single Channel Source Separation
Martin Ludvigsen, Markus Grasmair
The idea of adversarial learning of regularization functionals has recently been introduced in the wider context of inverse problems. The intuition behind this method is the realiz…
A square root velocity framework for curves of bounded variation
Markus Grasmair
The square root velocity transform is a powerful tool for the efficient computation of distances between curves. Also, after factoring out reparametrisations, it defines a distance…
A PDE-based Method for Shape Registration
Esten Nicolai Wøien, Markus Grasmair
In the square root velocity framework, the computation of shape space distances and the registration of curves requires solution of a non-convex variational problem. In this paper,…
Subgradient-based Lavrentiev regularisation of monotone ill-posed problems
Markus Grasmair, Fredrik Hildrum
We introduce subgradient-based Lavrentiev regularisation of the form \begin{equation*} \mathcal{A}(u) + α\partial \mathcal{R}(u) \ni f^δ\end{equation*} for linear and nonlinear ill…