M2. 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.
Stefan Kindermann, Johannes Kepler University Linz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 

Invited Speakers:
Christine Boeckmann, University Potsdam, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
A modified asymptotical regularization of nonlinear ill-posed problems

Yu Deng, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
On the deautoconvolution problem in the two-dimensional case

Daniel Gerth, Technische Universität Chemnitz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
A new way of interpreting Tikhonov regularization and its consequence for the estimation of solution smoothness and noise level

Urve Kangro, University of Tartu, Estonia, This email address is being protected from spambots. You need JavaScript enabled to view it.
On regularized projection methods for ill-posed problems

Zeljko Kereta, University College London, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stochastic Gradient Descent in Banach Spaces

Clemens Meiser, Saarland University, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Learned Landweber Iteration for the Terahertz Tomography

Robert Plato, University Siegen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.

Convergence results for nonlinear Tikhonov regularization with oversmoothing penalty

Toomas Raus, University of Tartu, Estonia, This email address is being protected from spambots. You need JavaScript enabled to view it.

General heuristic rule for choosing regularization parameter in Tikhonov method

Frank Werner, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Convergence Analysis of (statistical) inverse problems under conditional stability estimates

Wensheng Zhang, Chinese Academy of Sciences, China, This email address is being protected from spambots. You need JavaScript enabled to view it.

A mixed regularization method for ill-posed problem                                                                                             

Jorge P. Zubelli, IMPA, Brazil, This email address is being protected from spambots. You need JavaScript enabled to view it.; Khalifa University, UAE, This email address is being protected from spambots. You need JavaScript enabled to view it.
Splitting for Jump-Diffusion Calibration in Financial Option Models

 

PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse Scattering in Random Media, Electro-Magnetic Inverse Problems, Effective Properties of Composite Materials, Transport in High Contrast, Heterogeneous Media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/

Regularization of Inverse and Ill-Posed Problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse Problems with Applications to Imaging, Scattering Theory, Waves in Random Media, Nano-Scale Optics, Coherence Theory and Quantum Optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://sites.google.com/case.edu/erkkisomersalo/home

Computational and Statistical Inverse Problems, Probabilistic Methods for Uncertainty Quantification, Modeling of Complex Systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse Problems and Imaging, Partial Differential Equations, Microlocal Analysis, Scattering Theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical Solutions of Electromagnetic Maxwell Systems and Interface Problems, Inverse and Ill-Posed Problems, Preconditioned and Domain Decomposition Methods