M7: New Trends in Regularization Theory

Due to the ill-posedness of most linear and nonlinear inverse problems one needs regularization techniques for their stable approximate solution. The theory is well developed for problems in Hilbert spaces and during the last years many results have also been achieved for problems in Banach spaces. However, there are still many challenging questions, and permanently new classes of inverse problems occur, motivated by applications from natural sciences, engineering and finance.

We want to bring together experts and young researches working in this field to discuss about new results in the analysis and numerics of inverse and ill-posed problems.

Organizers:
Bernd Hofmann, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Andreas Neubauer, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):
Christian Clason, Universität Duisburg-Essen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Discrete regularization of coefficient inverse problems

Herbert Egger, Technische Universität Darmstadt, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
On Tikhonov regularization under conditional stability

Markus Grasmair, Norwegian University of Science and Technology, Norway, This email address is being protected from spambots. You need JavaScript enabled to view it.
Heuristic parameter selection for sparsity enhancing multi-parameter regularisation

Bernd Hofmann, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lavrentiev regularization for inverse problems with explicit and implicit forward operators

Robert Plato, Universität Siegen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Some new results on Lavrentiev regularization for nonlinear ill-posed problems

Barbara Kaltenbacher, Universität Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Minimization based formulation and regularization of inverse problems

Stefan Kindermann, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Nonlinearity conditions for parameter identification problems in elliptic PDEs

Andreas Neubauer, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
A new gradient method for ill-posed problems

Otmar Scherzer, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Recent aspects of source conditions for solving linear inverse problems

Sergei Pereverzyev, RICAM, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Adaptive parameter choice in regularization schemes for supervised learning

Ronny Ramlau, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Arnoldi-Tikhonov regularization for ill-posed operator equations

Tim Jahn, Goethe-Universität Frankfurt am Main, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Convergence issues in stochastic regularisation

Mario Luiz Previatti de Souza, Universität Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Convergence and adaptive discretization of the IRGNM-Ivanov method

Benjamin Sprung, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bregman iterations and higher order variational inequalities

Christine Bathke, University of Bremen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Model-based magnetic particle imaging: ill-posedness and bimodal recon- struction

Anne Wald, Universität des Saarlandes, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Sequential subspace optimization for nonlinear inverse problems

Frank Werner, Max Planck Institute for Biophysical Chemistry, Germany This email address is being protected from spambots. You need JavaScript enabled to view it.
Parameter identification problems with impulsive noise