Deep equilibrium architectures for inverse problems in imaging

D Gilton, G Ongie, R Willett - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Recent efforts on solving inverse problems in imaging via deep neural networks use
architectures inspired by a fixed number of iterations of an optimization method. The number …

The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem

MJ Colbrook, V Antun… - Proceedings of the …, 2022 - National Acad Sciences
Deep learning (DL) has had unprecedented success and is now entering scientific
computing with full force. However, current DL methods typically suffer from instability, even …

Solving inverse problems with deep neural networks–robustness included?

M Genzel, J Macdonald, M März - IEEE transactions on pattern …, 2022 - ieeexplore.ieee.org
In the past five years, deep learning methods have become state-of-the-art in solving various
inverse problems. Before such approaches can find application in safety-critical fields, a …

Physics-based reconstruction methods for magnetic resonance imaging

X Wang, Z Tan, N Scholand… - … Transactions of the …, 2021 - royalsocietypublishing.org
Conventional magnetic resonance imaging (MRI) is hampered by long scan times and only
qualitative image contrasts that prohibit a direct comparison between different systems. To …

Accelerated MRI with un-trained neural networks

MZ Darestani, R Heckel - IEEE Transactions on Computational …, 2021 - ieeexplore.ieee.org
Convolutional Neural Networks (CNNs) are highly effective for image reconstruction
problems. Typically, CNNs are trained on large amounts of training images. Recently …

Measuring robustness in deep learning based compressive sensing

MZ Darestani, AS Chaudhari… - … Conference on Machine …, 2021 - proceedings.mlr.press
Deep neural networks give state-of-the-art accuracy for reconstructing images from few and
noisy measurements, a problem arising for example in accelerated magnetic resonance …

Near-exact recovery for tomographic inverse problems via deep learning

M Genzel, I Gühring, J Macdonald… - … on Machine Learning, 2022 - proceedings.mlr.press
This work is concerned with the following fundamental question in scientific machine
learning: Can deep-learning-based methods solve noise-free inverse problems to near …

Test-time training can close the natural distribution shift performance gap in deep learning based compressed sensing

MZ Darestani, J Liu, R Heckel - International Conference on …, 2022 - proceedings.mlr.press
Deep learning based image reconstruction methods outperform traditional methods.
However, neural networks suffer from a performance drop when applied to images from a …

Noise2Recon: Enabling SNR‐robust MRI reconstruction with semi‐supervised and self‐supervised learning

AD Desai, BM Ozturkler, CM Sandino… - Magnetic …, 2023 - Wiley Online Library
Purpose To develop a method for building MRI reconstruction neural networks robust to
changes in signal‐to‐noise ratio (SNR) and trainable with a limited number of fully sampled …

NC-PDNet: A density-compensated unrolled network for 2D and 3D non-Cartesian MRI reconstruction

Z Ramzi, GR Chaithya, JL Starck… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Deep Learning has become a very promising avenue for magnetic resonance image (MRI)
reconstruction. In this work, we explore the potential of unrolled networks for non-Cartesian …