Evaluation of decomposition tools for sea floor pressure data: A practical comparison of modern and classical approaches. - Matthias Joachim Ehrhardt; H. Villinger; S. Schiffler (Comput. Geosci., 2012)

Vector-Valued Image Processing by Parallel Level Sets. - Matthias Joachim Ehrhardt; Simon R. Arridge (IEEE Trans. Image Process., 2014)

Multi-Contrast MRI Reconstruction with Structure-Guided Total Variation. - Matthias J. Ehrhardt; Marta M. Betcke (CoRR, 2015)

Multicontrast MRI Reconstruction with Structure-Guided Total Variation. - Matthias J. Ehrhardt; Marta M. Betcke (SIAM J. Imaging Sci., 2016)

PET Reconstruction With an Anatomical MRI Prior Using Parallel Level Sets. - Matthias J. Ehrhardt; Pawel Markiewicz; Maria Liljeroth; Anna Barnes; Ville Kolehmainen; John S. Duncan; Luis Pizarro; David Atkinson; Brian F. Hutton; Sébastien Ourselin; Kris Thielemans; Simon R. Arridge (IEEE Trans. Medical Imaging, 2016)

Blind Image Fusion for Hyperspectral Imaging with the Directional Total Variation. - Leon Bungert; David A. Coomes; Matthias J. Ehrhardt; Jennifer Rasch; Rafael Reisenhofer; Carola-Bibiane Schönlieb (CoRR, 2017)

Faster PET Reconstruction with Non-Smooth Priors by Randomization and Preconditioning. - Matthias J. Ehrhardt; Pawel Markiewicz; Carola-Bibiane Schönlieb (CoRR, 2018)

NiftyPET: a High-throughput Software Platform for High Quantitative Accuracy and Precision PET Imaging and Analysis. - Pawel J. Markiewicz; Matthias J. Ehrhardt; Kjell Erlandsson; Philip J. Noonan; Anna Barnes; Jonathan M. Schott; David Atkinson; Simon R. Arridge; Brian F. Hutton; Sébastien Ourselin (Neuroinformatics, 2018)

Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications. - Antonin Chambolle; Matthias J. Ehrhardt; Peter Richtárik; Carola-Bibiane Schönlieb (SIAM J. Optim., 2018)

Fast Quasi-Newton Algorithms for Penalized Reconstruction in Emission Tomography and Further Improvements via Preconditioning. - Yu-Jung Tsai; Alexandre Bousse; Matthias J. Ehrhardt; Charles W. Stearns; Sangtae Ahn; Brian F. Hutton; Simon R. Arridge; Kris Thielemans (IEEE Trans. Medical Imaging, 2018)

Deep learning as optimal control problems: models and numerical methods. - Martin Benning; Elena Celledoni; Matthias J. Ehrhardt; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2019)

Robust Image Reconstruction With Misaligned Structural Information. - Leon Bungert; Matthias J. Ehrhardt (IEEE Access, 2020)

Structure preserving deep learning. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Robert I. McLachlan; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2020)

Multi-modality imaging with structure-promoting regularisers. - Matthias J. Ehrhardt (CoRR, 2020)

Efficient Hyperparameter Tuning with Dynamic Accuracy Derivative-Free Optimization. - Matthias J. Ehrhardt; Lindon Roberts (CoRR, 2020)

On the Convergence of the Stochastic Primal-Dual Hybrid Gradient for Convex Optimization. - Eric B. Gutiérrez; Claire Delplancke; Matthias J. Ehrhardt (CoRR, 2020)

SIRF: Synergistic Image Reconstruction Framework. - Evgueni Ovtchinnikov; Richard Brown 004; Christoph Kolbitsch; Edoardo Pasca; Casper O. da Costa-Luis; Ashley Gillman; Benjamin A. Thomas; Nikos Efthimiou; Johannes Mayer; Palak Wadhwa; Matthias J. Ehrhardt; Sam Ellis; et al. (Comput. Phys. Commun., 2020)

Learning the Sampling Pattern for MRI. - Ferdia Sherry; Martin Benning; Juan Carlos de los Reyes; Martin J. Graves; Georg Maierhofer; Guy B. Williams; Carola-Bibiane Schönlieb; Matthias Joachim Ehrhardt (IEEE Trans. Medical Imaging, 2020)

Convergence Properties of a Randomized Primal-Dual Algorithm with Applications to Parallel MRI. - Eric B. Gutiérrez; Claire Delplancke; Matthias J. Ehrhardt (SSVM, 2021)

Synergistic Multi-spectral CT Reconstruction with Directional Total Variation. - Evelyn Cueva; Alexander Meaney; Samuli Siltanen; Matthias J. Ehrhardt (CoRR, 2021)

Equivariant neural networks for inverse problems. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2021)

Inexact Derivative-Free Optimization for Bilevel Learning. - Matthias J. Ehrhardt; Lindon Roberts (J. Math. Imaging Vis., 2021)

Choose Your Path Wisely: Gradient Descent in a Bregman Distance Framework. - Martin Benning; Marta M. Betcke; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb (SIAM J. Imaging Sci., 2021)

On the convergence and sampling of randomized primal-dual algorithms and their application to parallel MRI reconstruction. - Eric B. Gutiérrez; Claire Delplancke; Matthias J. Ehrhardt (CoRR, 2022)

Stochastic Primal-Dual Three Operator Splitting with Arbitrary Sampling and Preconditioning. - Junqi Tang; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb (CoRR, 2022)

Imaging with Equivariant Deep Learning. - Dongdong Chen 004; Mike E. Davies 001; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb; Ferdia Sherry; Julián Tachella (CoRR, 2022)

Compressed Sensing MRI Reconstruction Regularized by VAEs with Structured Image Covariance. - Margaret Duff; Ivor J. A. Simpson; Matthias J. Ehrhardt; Neill D. F. Campbell (CoRR, 2022)

A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation. - Erlend Skaldehaug Riis; Matthias J. Ehrhardt; G. R. W. Quispel; Carola-Bibiane Schönlieb (Found. Comput. Math., 2022)

Accelerating variance-reduced stochastic gradient methods. - Derek Driggs; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb (Math. Program., 2022)

Analyzing Inexact Hypergradients for Bilevel Learning. - Matthias J. Ehrhardt; Lindon Roberts (CoRR, 2023)

On Optimal Regularization Parameters via Bilevel Learning. - Matthias J. Ehrhardt; Silvia Gazzola; Sebastian James Scott (CoRR, 2023)

Designing Stable Neural Networks using Convex Analysis and ODEs. - Ferdia Sherry; Elena Celledoni; Matthias J. Ehrhardt; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2023)

Dynamic Bilevel Learning with Inexact Line Search. - Mohammad Sadegh Salehi; Subhadip Mukherjee; Lindon Roberts; Matthias J. Ehrhardt (CoRR, 2023)

Imaging With Equivariant Deep Learning: From unrolled network design to fully unsupervised learning. - Dongdong Chen 004; Mike E. Davies 001; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb; Ferdia Sherry; Julián Tachella (IEEE Signal Process. Mag., 2023)

Learning Preconditioners for Inverse Problems. - Matthias J. Ehrhardt; Patrick Fahy; Mohammad Golbabaee (CoRR, 2024)

Enhancing Dynamic CT Image Reconstruction with Neural Fields Through Explicit Motion Regularizers. - Pablo Arratia; Matthias J. Ehrhardt; Lisa Kreusser (CoRR, 2024)

A Guide to Stochastic Optimisation for Large-Scale Inverse Problems. - Matthias J. Ehrhardt; Zeljko Kereta; Jingwei Liang; Junqi Tang (CoRR, 2024)

A Primal-dual algorithm for image reconstruction with ICNNs. - Hok Shing Wong; Matthias J. Ehrhardt; Subhadip Mukherjee (CoRR, 2024)

An Adaptively Inexact Method for Bilevel Learning Using Primal-Dual Style Differentiation. - Lea Bogensperger; Matthias J. Ehrhardt; Thomas Pock; Mohammad Sadegh Salehi; Hok Shing Wong (CoRR, 2024)

Efficient gradient-based methods for bilevel learning via recycling Krylov subspaces. - Matthias J. Ehrhardt; Silvia Gazzola; Sebastian James Scott (CoRR, 2024)

Stochastic Multiresolution Image Sketching for Inverse Imaging Problems. - Alessandro Perelli; Carola-Bibiane Schönlieb; Matthias J. Ehrhardt (CoRR, 2024)

Practical Acceleration of the Condat-Vũ Algorithm. - Derek Driggs; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb; Junqi Tang (SIAM J. Imaging Sci., 2024)

Proximal Langevin Sampling with Inexact Proximal Mapping. - Matthias J. Ehrhardt; Lorenz Kuger; Carola-Bibiane Schönlieb (SIAM J. Imaging Sci., 2024)

Regularising Inverse Problems with Generative Machine Learning Models. - Margaret Duff; Neill D. F. Campbell; Matthias J. Ehrhardt (J. Math. Imaging Vis., 2024)

Stochastic Primal-Dual Hybrid Gradient Algorithm with Adaptive Step Sizes. - Antonin Chambolle; Claire Delplancke; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb; Junqi Tang (J. Math. Imaging Vis., 2024)

Bilevel Learning with Inexact Stochastic Gradients. - Mohammad Sadegh Salehi; Subhadip Mukherjee; Lindon Roberts; Matthias J. Ehrhardt (SSVM (1), 2025)

Stochastic Primal-Dual Three Operator Splitting Algorithm with Extension to Equivariant Regularization-by-Denoising. - Junqi Tang; Matthias J. Ehrhardt; Carola-Bibiane Schönlieb (SSVM (2), 2025)

An Adaptively Inexact First-Order Method for Bilevel Optimization with Application to Hyperparameter Learning. - Mohammad Sadegh Salehi; Subhadip Mukherjee; Lindon Roberts; Matthias J. Ehrhardt (SIAM J. Math. Data Sci., 2025)

Randomized Primal-Dual Algorithm with Arbitrary Sampling: Convergence Theory and Applications to Parallel MRI. - Eric B. Gutiérrez; Claire Delplancke; Matthias J. Ehrhardt (J. Math. Imaging Vis., 2025)

Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flow. - Pablo Arratia; Matthias J. Ehrhardt; Lisa Kreusser (J. Math. Imaging Vis., 2025)