M4. 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 regularization 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:
Stefan Kindermann, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Robert Plato, University Siegen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bernd Hofmann, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Andrea Ebner, University Innsbruck, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Regularization with non-linear frame filtering

Simon Hubmer, Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
On phase unwrapping via digital wavefront sensors

Barbara Kaltenbacher, University of Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Convergence guarantees for tomographic applications via the range invariance condition

Marek Kojdecki, Military University of Technology, Poland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Discrepancy principles as parameter choice rules in Tikhonov regularisation

Tram Nguyen, Max-Planck Institute for Solar System Research, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Bi-level iterative regularization for inverse problems in nonlinear PDEs

Ronny Ramlau, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Non-Uniqueness and reconstructability for the atmospheric tomography problem

Elena Resmerita, University of Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Applications of multiscale hierarchical decomposition to blind deconvolution

Richard Schmähl, University of Stuttgart, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Regularization of inverse problems based on diffusion processes

Richard Spencer, National Institute on Aging, National Institutes of Health, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Myelin mapping in the human brain using an empirical extension of the ridge regression theorem

Christian Wald, Technical University of Berlin, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Generative modeling for regularization

Frank Werner, University of Würzburg, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Optimal regularized hypothesis testing in statistical inverse problem

Tobias Wolf, University of Klagenfurt, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Solving decomposition problems with nested Bregman iterations