180 citations · 1.3k across the 95 of their papers we have counts for
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Regularization of systems of nonlinear ill-posed equations: II. Applications
M. Haltmeier, R. Kowar, A. Leitao +1
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem r…
Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis
M. Haltmeier, A. Leitao, O. Scherzer
In this article we develop and analyze novel iterative regularization techniques for the solution of systems of nonlinear ill--posed operator equations. The basic idea consists in…
Discretization of learned NETT regularization for solving inverse problems
Stephan Antholzer, Markus Haltmeier
Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of…
Linking information theory and thermodynamics to spatial resolution in photothermal and photoacoustic imaging
Peter Burgholzer, Guenther Mayr, Gregor Thummerer +1
In this tutorial, we combine the different scientific fields of information theory, thermodynamics, regularization theory and non-destructive imaging, especially for photoacoustic…
Deep Structure Learning using Feature Extraction in Trained Projection Space
Christoph Angermann, Markus Haltmeier
Over the last decade of machine learning, convolutional neural networks have been the most striking successes for feature extraction of rich sensory and high-dimensional data. Whil…
Recovering the Initial Data of the Wave Equation from Neumann Traces
Florian Dreier, Markus Haltmeier
We study the problem of recovering the initial data (f, 0) of the standard wave equation from the Neumann trace (the normal derivative) of the solution on the boundary of convex do…