3 papers
math.NA2025
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…
math.OC2024
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 i…
math.NA2024
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…