activity
20162026
most citedDeep Null Space Learning for Inverse Problems: Convergence Analysis and Rates

88 citations · 197 across the 19 of their papers we have counts for

collaborators
Showing 2019Show all

7 papers · 1 filter

math.NA2019

Augmented NETT Regularization of Inverse Problems

Daniel Obmann, Linh Nguyen, Johannes Schwab +1

We propose aNETT (augmented NETwork Tikhonov) regularization as a novel data-driven reconstruction framework for solving inverse problems. An encoder-decoder type network defines a…

eess.IV2019★ 1 cited

Learned backprojection for sparse and limited view photoacoustic tomography

Johannes Schwab, Stephan Antholzer, Markus Haltmeier

Filtered backprojection (FBP) is an efficient and popular class of tomographic image reconstruction methods. In photoacoustic tomography, these algorithms are based on theoreticall…

math.NA2019

Sparse synthesis regularization with deep neural networks

Daniel Obmann, Johannes Schwab, Markus Haltmeier

We propose a sparse reconstruction framework for solving inverse problems. Opposed to existing sparse regularization techniques that are based on frame representations, we train an…

math.NA2019★ 6 cited

NETT Regularization for Compressed Sensing Photoacoustic Tomography

Stephan Antholzer, Johannens Schwab, Johannes Bauer-Marschallinger +2

We discuss several methods for image reconstruction in compressed sensing photoacoustic tomography (CS-PAT). In particular, we apply the deep learning method of [H. Li, J. Schwab,…

math.NA2019★ 15 cited

Deep learning versus -minimization for compressed sensing photoacoustic tomography

Stephan Antholzer, Johannes Schwab, Markus Haltmeier

We investigate compressed sensing (CS) techniques for reducing the number of measurements in photoacoustic tomography (PAT). High resolution imaging from CS data requires particula…

math.NA2019★ 42 cited

Photoacoustic image reconstruction via deep learning

Stephan Antholzer, Johannes Schwab, Robert Nuster +1

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these a…

math.NA2019

Deep Learning of truncated singular values for limited view photoacoustic tomography

Johannes Schwab, Stephan Antholzer, Robert Nuster +2

We develop a data-driven regularization method for the severely ill-posed problem of photoacoustic image reconstruction from limited view data. Our approach is based on the regular…