Publications

Latest publications and preprints

By Tianhao Hu, Bangti Jin and Zhi Zhou SIAM Journal on Scientific Computing, Volume 46, Issue 4 Aug 2024

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks

By Matthias J. Ehrhardt, Zeljko Kereta, Jingwei Liang, Junqi Tang Preprint 10 July 2024

A Guide to Stochastic Optimisation for Large-Scale Inverse Problems

By James Rowbottom, Georg Maierhofer, Teo Deveney, Katharina Schratz, Pietro Liò, Carola-Bibiane Schönlieb, Chris Budd Preprint 5 July 2024

G-Adaptive mesh refinement -- leveraging graph neural networks and differentiable finite element solvers

By Simone Appella, Simon Arridge, Chris Budd, Teo Deveney, Lisa Maria Kreusser Preprint 3 July 2024

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks

By Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb Physica D: Nonlinear Phenomena, Volume 463, July 2024

Designing stable neural networks using convex analysis and ODEs

By Alexander Denker, Francisco Vargas, Shreyas Padhy, Kieran Didi, Simon Mathis, Vincent Dutordoir, Riccardo Barbano, Emile Mathieu, Urszula Julia Komorowska, Pietro Lio Preprint 3 June 2024

DEFT: Efficient Finetuning of Conditional Diffusion Models by Learning the Generalised h-transform

By B Jin, Z Zhou, J Zou Neural Networks Volume 174, June 2024

On the approximation of bi-Lipschitz maps by invertible neural networks

By Kereta, Zeljko; Denker, Alexander; Barbano, Riccardo; Jin, Bangti; Thielemans, Kris; Arrdige, Simon; Singh, Imraj; International Society for Magnetic Resonance in Medicine - Proceedings of the 2024 ISMRM & ISMRT Annual Meeting & Exhibition. May 2024

MR-blob: Coordinate-Transformed Blobs for Parallel MRI Reconstruction

By Matthias J. Ehrhardt, Lorenz Kuger and Carola-Bibiane Schonlieb SIAM Journal on Imaging Sciences, Vol 17, No.3, pp 1729-1760

Proximal Langevin Sampling with Inexact Proximal Mapping

By Gevik Grigorian, Sandip V. George, Simon Arridge Preprint 7 May 2024

Learning Governing Equations of Unobserved States in Dynamical Systems

By Alexander Denker, Zeljko Kereta, Imraj Singh, Tom Freudenberg, Tobias Kluth, Peter Maass, Simon Arridge Preprint 6 May 2024

Data-driven approaches for electrical impedance tomography image segmentation from partial boundary data

By Bangti Jin, Xiyao Li, Qimeng Quan, and Zhi Zhou SIAM Journal on Imaging Sciences 17 (1), 147-187 March 2024

Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks

By Richard Nickl, Grigorios A. Pavliotis, Kolyan Ray Preprint 25 April 2024

Bayesian Nonparametric Inference in McKean-Vlasov models

By Gevik Grigorian, Sandip V. George, Sam Lishak, Rebecca J. Shipley and Simon Arridge Journal of the Royal Society Interface, March 2024

A hybrid neural ordinary differential equation model of the cardiovascular system

By Antonin Chambolle, Claire Delplancke, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb & Junqi Tang Journal of Mathematical Imaging and Vision March 2024

Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes

By Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb, Junqi Tang Preprint March 2024

Practical Acceleration of the Condat-Vũ Algorithm

By Johannes Hertrich, Christian Wald, Fabian Altekrüger, Paul Hagemann Preprint 20 February 2024

Generative sliced MMD flows with Riesz kernels

By Tim Jahn, Bangti Jin Preprint February 2024

Early Stopping of Untrained Convolutional Neural Networks

By Chris Budd, Rachel Kuske Physica D: Nonlinear Phenomena Volumer 457 January 2024

Dynamic tipping and cyclic folds, in a one-dimensional non-smooth dynamical system linked to climate models

By D Riccio, M J Ehrhardt, M Benning Numerical Algebra, Control and Optimization (NACO) - Early Access January 2024

Regularization of Inverse Problems: Deep Equilibrium Models versus Bilevel Learning

By Matthias J. Ehrhardt, Silvia Gazzola, Sebastian J. Scott Preprint May 2023, revised January 2024

On Optimal Regularization Parameters via Bilevel Learning

By E Celledoni, D Murari, B Owren, CB Schönlieb, F Sherry SIAM Journal on Scientific Computing Volume 45, Issue 6, pp A3071- A3094 December 2023

Dynamical systems' based neural networks

By M Roberts, A Hazan, S Dittmer, JHF Rudd, Carola-Bibiane Schönlieb Preprint - December 2023

The curious case of the test set AUROC

By K Abraham, N Deo Preprint - December 2023

Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse Problems

By Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou Journal of Computational Physics Volume 493, 15 November 2023

Electrical Impedance Tomography with Deep Calderón Method

By Imraj Singh, Alexander Denker, Bangti Jin, Kris Thielemans, Simon Arridge Proceedings of the IEEE Nuclear Science Symposium (NSS), Medical Imaging Conference (MIC) and Room Temperature Semiconductor Detector (RTSD) Conference 2023. (pp. pp. 1-2). IEEE (In press). November 2023

Investigating Intensity Normalisation for PET Reconstruction with Supervised Deep Learning

By O Jaubert, M Pascale, J Montalt-Tordera, J Akesson, R Virsinskaite, D Knight. S Arridge, J Steeden, V Muthurangu Preprint - November 2023

Investigating the use of publicly available natural videos to learn Dynamic MR image reconstruction

By Matthias J Ehrhardt, Lindon Roberts IMA Journal of Applied Mathematics, November 2023

Analyzing inexact hypergradients for bilevel learning

By Teo Deveney, Jan Stanczuk, Lisa Maria Kreusser, Chris Budd, Carola-Bibiane Schönlieb Preprint - November 2023

Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation

By Simon Arridge, Andreas Hauptmann, Yury Korolev Preprint - November 2023

Inverse Problems with Learned Forward Operators

By M. A. G. Duff, N. D. F. Campbell & M. J. Ehrhardt Journal of Mathematical Imaging and Vision - January 2024

Regularising Inverse Problems with Generative Machine Learning Models

By Siyu Cen, Bangti Jin, Qimeng Quan, Zhi Zhou IMA Journal of Numerical Analysis, 00 1-35 18 September 2023

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems

By Andraž Jelinčič, Jiajie Tao, William F. Turner, Thomas Cass, James Foster, Hao Ni Preprint - August 2023

Generative Modelling of Lévy Area for High Order SDE Simulation

By Kreusser LM, Osher SJ, Wang B European Journal of Applied Mathematics. 2023;34(4):738-757. August 2023

A deterministic gradient-based approach to avoid saddle points

By Mohammad Sadegh Salehi, Subhadip Mukherjee, Lindon Roberts, Matthias J. Ehrhardt Preprint - August 2023

Dynamic Bilevel Learning with Inexact Line Search

By Bangti Jin, Zehui Zhou, Jun Zou Prepint - August 2023

On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks

By Imraj RD Singh, Alexander Denker, Riccardo Barbano, Željko Kereta, Bangti Jin, Kris Thielemans, Peter Maass, Simon Arridge Preprint - August 2023

Score-Based Generative Models for PET Image Reconstruction

By Tianhao Hu, Bangti Jin, Zhi Zhou Preprint - August 2023

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks

By Riccardo Barbano, Alexander Denker, Hyungjin Chung, Tae Hoon Roh, Simon Arrdige, Peter Maass, Bangti Jin, Jong Chul Ye Preprint - August 2023

Steerable Conditional Diffusion for Out-of-Distribution Adaptation in Imaging Inverse Problems

By M Duff, I JA Simpson, M J Ehrhardt, N DF Campbell Physics in Medicine & Biology, Volume 68, Number 16, August 2023

VAEs with structured image covariance applied to compressed sensing MRI

By Bangti Jin, Ramesh Sau, Luowei Yin, Zhi Zhou Prepint - August 2023

Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks

By Tianhao Hu, Bangti Jin, Zhi Zhou SIAM Journal on Scientific Computing, Vol 45, Issue 4 2023

Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method

By R Nickl, E. S. Titi Preprint July 2023

On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equations

By Marco Nittscher, Michael Lameter, Riccardo Barbano, Johannes Leuschner, Bangti Jin, Peter Maass Proceedings of Machine Learning Research - Volume 227: Medical Imaging with Deep Learning, Nashville, TN, USA, 10-12 July 2023,

SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstruction

By Z Kereta, B Jin SIAM Journal on Imaging Science, Vol 16, Issue 2, pp 671-705 June 2023

On the convergence of stochastic gradient descent for linear inverse problems in Banach spaces

By A Stanziola, S Arridge, BT Cox, BE Treeby. JASA Express Letters 3 (5) May 2023

A learned Born series for highly-scattering media

By A Stanziola, S. Arridge, B. Cox, B E. Treeby SoftwareX, Volume 22, May 2023

j-Wave: An open-source differentiable wave simulator.

By Afonso S. Bandeira, Antoine Maillard, Richard Nickl and Sven Wang Philosophical Transactions of the Royal Society A - Mathematical, Physical and Engineering Sciences; Volume 381, Issue 2247; May 2023

On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions

By Niko Hänninen, Aki Pulkkinen, Simon Arridge, Tanja Tarvainen Photons Plus Ultrasound: Imaging and Sensing 2023. Proceeding of SPIE Volume 12379, pp 246-253. March 2023

Image reconstruction in quantitative photoacoustic tomography using adaptive optical Monte Carlo

By Riccardo Barbano, Javier Antorán, Johannes Leuschner, José Miguel Hernández-Lobato, Željko Kereta, Bangti Jin Preprint - Feb 2023

Fast and Painless Image Reconstruction in Deep Image Prior Subspaces

By D Chen, M Davies, MJ Ehrhardt, CB Schonlieb, F Sherry, J Tachella IEEE Signal Processing Magazine ( Volume: 40, Issue: 1, January 2023

Imaging With Equivariant Deep Learning: From unrolled network design to fully unsupervised learning

By S Mukherjee, A Hauptmann, O Öktem, M Pereyra, CB Schönlieb. IEEE Signal Processing Magazine, vol. 40, no. 1, pp. 164-182, Jan. 2023

Learned reconstruction methods with convergence guarantees

By T Partridge, A Astolfo, SS Shankar, FA Vittoria, M Endrizzi, S Arridge, T. Riley-Smith, I. G. Haig, D. Bate & A. Olivo. Nature communications 13 (1), 1-12 September 2022

Enhanced detection of threat materials by dark-field x-ray imaging combined with deep neural networks.

By R Barbano, Ž Kereta, A Hauptmann, SR Arridge, B Jin. Inverse Problems 38 (10), 104004 September 2022

Unsupervised knowledge-transfer for learned image reconstruction.

By E Maneas, A Hauptmann, EJ Alles, W Xia, S Noimark, AL David, S Arridge, AE Desjardins International Journal of Computer Assisted Radiology and Surgery, 1-5. September 2022

Enhancement of instrumented ultrasonic tracking images using deep learning.

By O Jaubert, J Montalt-Tordera, J Brown, D Knight, S Arridge, J Steeden, V Muthurangu. Magn Reson Med . 2022 Nov;88(5):2179-2189. Epub July 2022

FReSCO: Flow Reconstruction and Segmentation for low latency Cardiac Output monitoring using deep artifact suppression and segmentation.

By A Arjas, EJ Alles, E Maneas, S Arridge, A Desjardins, MJ Sillanpää, A Hauptmann. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 69. May 2022

Neural Network Kalman Filtering for 3-D Object Tracking From Linear Array Ultrasound Data,

By M Mozumder, A Hauptmann, SR Arridge, T Tarvainen. Technical Digest Series (Optica Publishing Group, 2022), Optics and the Brain paper JTu3A.10 April 2022

Diffuse optical tomography utilizing model-based learning.

By B Jin, R Barbano, S Arridge, R Tanno. Biomedical Image Synthesis and Simulation Methods and Applications - The MICCAI Society book Series 2022, Pages 601-641 July 2022

Uncertainty quantification in medical image synthesis

By Wei, AI Aviles-Rivero, S Wang, Y Huang, FJ Gilbert, CB Schönlieb, CW Chen. Medical Image Analysis 82, 102618 November 2022

Beyond fine-tuning: Classifying high resolution mammograms using function-preserving transformations

By J Denholm, BA Schreiber, SC Evans, OM Crook, A Sharma, JL Watson, H Bancroft, G Langman, JD Gilbey, CB Schönlieb, MJ Arends, EJ Soilleux Journal of Pathology Informatics, 100151 October 2022

Multiple-instance-learning-based detection of coeliac disease in histological whole-slide images

By S Dittmer, M Roberts, J Gilbey, A Biguri, AIX-COVNET Collaboration, J Preller, J HF Rudd, J AD Aston, CB Schönlieb. Preprint October 2022

Navigating the challenges in creating complex data systems: a development philosophy.

By HY Tan, S Mukherjee, J Tang, A Hauptmann, CB Schönlieb. ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 2023, pp. 1-5, 2023

Robust Data-Driven Accelerated Mirror Descent

By S van Gogh, S Mukherjee, M Rawlik, Z Wang, J Xu, Z Varga, CB Schonlieb, M Stampanoni. Proceedings Volume 12304, 7th International Conference on Image Formation in X-Ray Computed Tomography; 1230417 (2022) October 2022

Iterative grating interferometry-based phase-contrast CT reconstruction with a data-driven denoising prior.

By P Sellars, AI Aviles-Rivero, CB Schönlieb IEEE Transactions on Neural Networks and Learning Systems September 2022

LaplaceNet: A Hybrid Graph-Energy Neural Network for Deep Semisupervised Classification.

By Y Cheng, L Liu, S Wang, Y Jin, CB Schönlieb, AI Aviles-Rivero. Trustworthy Machine Learning for Healthcare. TML4H 2023. Lecture Notes in Computer Science, vol 13932, July 2023

Why Deep Surgical Models Fail?: Revisiting Surgical Action Triplet Recognition through the Lens of Robustness.

By JO Cross-Zamirski, E Mouchet, G Williams, CB Schönlieb, R Turkki, Y Wang. Scientific reports 12 (1), 1-13 | June 2022

Label-free prediction of cell painting from brightfield images

By HY Tan, S Mukherjee, J Tang, CB Schönlieb. SIAM Journal on Mathematics of Data Science Vol 5, Issue 2, pp 558-587, June 2023

Data-driven mirror descent with input-convex neural networks

By JO Cross-Zamirski, G Williams, E Mouchet, CB Schönlieb, R Turkki, Y Wang. Preprint November 2022

Self-Supervised Learning of Phenotypic Representations from Cell Images with Weak Labels.

By S van Gogh, S Mukherjee, J Xu, Z Wang, M Rawlik, Z Varga, R Alaifari, CB Schonlieb, M Stampanoni. Plos one 17 (9), e0272963 September 2022

Iterative phase contrast CT reconstruction with novel tomographic operator and data-driven prior.

By AI Aviles-Rivero, C Runkel, N Papadakis, Z Kourtzi, CB Schönlieb Medical Image Computing and Computer Assisted Intervention – MICCAI 2022. MICCAI 2022. Lecture Notes in Computer Science, vol 13433 September 2022

Multi-Modal Hypergraph Diffusion Network with Dual Prior for Alzheimer Classification

By J Tang, S Mukherjee, CB Schönlieb. Preprint August 2022

Accelerating Deep Unrolling Networks via Dimensionality Reduction

By G Batzolis, J Stanczuk, CB Schönlieb, C Etmann. Preprint July 2022

Non-Uniform Diffusion Models

By TG Grossmann, S Dittmer, Y Korolev, CB Schönlieb. Preprint June 2022

Unsupervised Learning of the Total Variation Flow

By S van Gogh, Z Wang, M Rawlik, C Etmann, S Mukherjee, CB Schönlieb Medical Physics Volume 49, Issue 6 Pages 3729-3748 June 2022

INSIDEnet: Interpretable NonexpanSIve Data‐Efficient network for denoising in grating interferometry breast CT

By J Adler, S Lunz, O Verdier, CB Schönlieb, O Öktem Inverse Problems 38 (7), 075006 May 2022

Task adapted reconstruction for inverse problems

By A Conmy, S Mukherjee, CB Schönlieb ICASSP 2022-2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). May 2022

StyleGAN-induced data-driven regularization for inverse problems

By S Parisotto, N Leone, CB Schönlieb, A Launaro Journal of Archaeological Science 142, 105598. April 2022

Unsupervised clustering of Roman potsherds via Variational Autoencoders

By K Wei, AI Avilés-Rivero, J Liang, Y Fu, H Huang, CB Schönlieb J. Mach. Learn. Res. 23 (16), 1-48. February 2022

TFPnP: Tuning-free Plug-and-Play Proximal Algorithms with Applications to Inverse Imaging Problems

By Y Chen, CB Schönlieb, P Liò, T Leiner, PL Dragotti, G Wang, D Rueckert Proceedings of the IEEE 110 (2), 224-245. February 2022

AI-based reconstruction for fast MRI—a systematic review and meta-analysis

By D Driggs, J Liang, CB Schönlieb J. Mach. Learn. Res. 23, 24:1-24:43 February 2022

On Biased Stochastic Gradient Estimation

By Tianhao Hu, Bangti Jin and Zhi Zhou SIAM Journal on Scientific Computing, Volume 46, Issue 4 Aug 2024

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks

Download

By Matthias J. Ehrhardt, Zeljko Kereta, Jingwei Liang, Junqi Tang Preprint 10 July 2024

A Guide to Stochastic Optimisation for Large-Scale Inverse Problems

Download

By James Rowbottom, Georg Maierhofer, Teo Deveney, Katharina Schratz, Pietro Liò, Carola-Bibiane Schönlieb, Chris Budd Preprint 5 July 2024

G-Adaptive mesh refinement -- leveraging graph neural networks and differentiable finite element solvers

Download

By Simone Appella, Simon Arridge, Chris Budd, Teo Deveney, Lisa Maria Kreusser Preprint 3 July 2024

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks

Download

By Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb Physica D: Nonlinear Phenomena, Volume 463, July 2024

Designing stable neural networks using convex analysis and ODEs

Download

By Alexander Denker, Francisco Vargas, Shreyas Padhy, Kieran Didi, Simon Mathis, Vincent Dutordoir, Riccardo Barbano, Emile Mathieu, Urszula Julia Komorowska, Pietro Lio Preprint 3 June 2024

DEFT: Efficient Finetuning of Conditional Diffusion Models by Learning the Generalised h-transform

Download

By B Jin, Z Zhou, J Zou Neural Networks Volume 174, June 2024

On the approximation of bi-Lipschitz maps by invertible neural networks

Download

MR-blob: Coordinate-Transformed Blobs for Parallel MRI Reconstruction

Download

By Matthias J. Ehrhardt, Lorenz Kuger and Carola-Bibiane Schonlieb SIAM Journal on Imaging Sciences, Vol 17, No.3, pp 1729-1760

Proximal Langevin Sampling with Inexact Proximal Mapping

Download

By Gevik Grigorian, Sandip V. George, Simon Arridge Preprint 7 May 2024

Learning Governing Equations of Unobserved States in Dynamical Systems

Download

By Alexander Denker, Zeljko Kereta, Imraj Singh, Tom Freudenberg, Tobias Kluth, Peter Maass, Simon Arridge Preprint 6 May 2024

Data-driven approaches for electrical impedance tomography image segmentation from partial boundary data

Download

By Bangti Jin, Xiyao Li, Qimeng Quan, and Zhi Zhou SIAM Journal on Imaging Sciences 17 (1), 147-187 March 2024

Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks

Download

By Richard Nickl, Grigorios A. Pavliotis, Kolyan Ray Preprint 25 April 2024

Bayesian Nonparametric Inference in McKean-Vlasov models

Download

By Gevik Grigorian, Sandip V. George, Sam Lishak, Rebecca J. Shipley and Simon Arridge Journal of the Royal Society Interface, March 2024

A hybrid neural ordinary differential equation model of the cardiovascular system

Download

By Antonin Chambolle, Claire Delplancke, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb & Junqi Tang Journal of Mathematical Imaging and Vision March 2024

Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes

Download

By Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb, Junqi Tang Preprint March 2024

Practical Acceleration of the Condat-Vũ Algorithm

Download

By Johannes Hertrich, Christian Wald, Fabian Altekrüger, Paul Hagemann Preprint 20 February 2024

Generative sliced MMD flows with Riesz kernels

Download

By Tim Jahn, Bangti Jin Preprint February 2024

Early Stopping of Untrained Convolutional Neural Networks

Download

By Chris Budd, Rachel Kuske Physica D: Nonlinear Phenomena Volumer 457 January 2024

Dynamic tipping and cyclic folds, in a one-dimensional non-smooth dynamical system linked to climate models

Download

By D Riccio, M J Ehrhardt, M Benning Numerical Algebra, Control and Optimization (NACO) - Early Access January 2024

Regularization of Inverse Problems: Deep Equilibrium Models versus Bilevel Learning

Download

By Matthias J. Ehrhardt, Silvia Gazzola, Sebastian J. Scott Preprint May 2023, revised January 2024

On Optimal Regularization Parameters via Bilevel Learning

Download

By E Celledoni, D Murari, B Owren, CB Schönlieb, F Sherry SIAM Journal on Scientific Computing Volume 45, Issue 6, pp A3071- A3094 December 2023

Dynamical systems' based neural networks

Download

By M Roberts, A Hazan, S Dittmer, JHF Rudd, Carola-Bibiane Schönlieb Preprint - December 2023

The curious case of the test set AUROC

Download

By K Abraham, N Deo Preprint - December 2023

Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse Problems

Download

By Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou Journal of Computational Physics Volume 493, 15 November 2023

Electrical Impedance Tomography with Deep Calderón Method

Download

Investigating Intensity Normalisation for PET Reconstruction with Supervised Deep Learning

Download

By O Jaubert, M Pascale, J Montalt-Tordera, J Akesson, R Virsinskaite, D Knight. S Arridge, J Steeden, V Muthurangu Preprint - November 2023

Investigating the use of publicly available natural videos to learn Dynamic MR image reconstruction

Download

By Matthias J Ehrhardt, Lindon Roberts IMA Journal of Applied Mathematics, November 2023

Analyzing inexact hypergradients for bilevel learning

Download

By Teo Deveney, Jan Stanczuk, Lisa Maria Kreusser, Chris Budd, Carola-Bibiane Schönlieb Preprint - November 2023

Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation

Download

By Simon Arridge, Andreas Hauptmann, Yury Korolev Preprint - November 2023

Inverse Problems with Learned Forward Operators

Download

By M. A. G. Duff, N. D. F. Campbell & M. J. Ehrhardt Journal of Mathematical Imaging and Vision - January 2024

Regularising Inverse Problems with Generative Machine Learning Models

Download

By Siyu Cen, Bangti Jin, Qimeng Quan, Zhi Zhou IMA Journal of Numerical Analysis, 00 1-35 18 September 2023

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems

Download

By Andraž Jelinčič, Jiajie Tao, William F. Turner, Thomas Cass, James Foster, Hao Ni Preprint - August 2023

Generative Modelling of Lévy Area for High Order SDE Simulation

Download

By Kreusser LM, Osher SJ, Wang B European Journal of Applied Mathematics. 2023;34(4):738-757. August 2023

A deterministic gradient-based approach to avoid saddle points

Download

By Mohammad Sadegh Salehi, Subhadip Mukherjee, Lindon Roberts, Matthias J. Ehrhardt Preprint - August 2023

Dynamic Bilevel Learning with Inexact Line Search

Download

By Bangti Jin, Zehui Zhou, Jun Zou Prepint - August 2023

On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks

Download

By Imraj RD Singh, Alexander Denker, Riccardo Barbano, Željko Kereta, Bangti Jin, Kris Thielemans, Peter Maass, Simon Arridge Preprint - August 2023

Score-Based Generative Models for PET Image Reconstruction

Download

By Tianhao Hu, Bangti Jin, Zhi Zhou Preprint - August 2023

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks

Download

By Riccardo Barbano, Alexander Denker, Hyungjin Chung, Tae Hoon Roh, Simon Arrdige, Peter Maass, Bangti Jin, Jong Chul Ye Preprint - August 2023

Steerable Conditional Diffusion for Out-of-Distribution Adaptation in Imaging Inverse Problems

Download

By M Duff, I JA Simpson, M J Ehrhardt, N DF Campbell Physics in Medicine & Biology, Volume 68, Number 16, August 2023

VAEs with structured image covariance applied to compressed sensing MRI

Download

By Bangti Jin, Ramesh Sau, Luowei Yin, Zhi Zhou Prepint - August 2023

Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks

Download

By Tianhao Hu, Bangti Jin, Zhi Zhou SIAM Journal on Scientific Computing, Vol 45, Issue 4 2023

Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method

Download

By R Nickl, E. S. Titi Preprint July 2023

On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equations

Download

SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstruction

Download

By Z Kereta, B Jin SIAM Journal on Imaging Science, Vol 16, Issue 2, pp 671-705 June 2023

On the convergence of stochastic gradient descent for linear inverse problems in Banach spaces

Download

By A Stanziola, S Arridge, BT Cox, BE Treeby. JASA Express Letters 3 (5) May 2023

A learned Born series for highly-scattering media

Download

By A Stanziola, S. Arridge, B. Cox, B E. Treeby SoftwareX, Volume 22, May 2023

j-Wave: An open-source differentiable wave simulator.

Download

On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions

Download

By Niko Hänninen, Aki Pulkkinen, Simon Arridge, Tanja Tarvainen Photons Plus Ultrasound: Imaging and Sensing 2023. Proceeding of SPIE Volume 12379, pp 246-253. March 2023

Image reconstruction in quantitative photoacoustic tomography using adaptive optical Monte Carlo

Download

By Riccardo Barbano, Javier Antorán, Johannes Leuschner, José Miguel Hernández-Lobato, Željko Kereta, Bangti Jin Preprint - Feb 2023

Fast and Painless Image Reconstruction in Deep Image Prior Subspaces

Download

By D Chen, M Davies, MJ Ehrhardt, CB Schonlieb, F Sherry, J Tachella IEEE Signal Processing Magazine ( Volume: 40, Issue: 1, January 2023

Imaging With Equivariant Deep Learning: From unrolled network design to fully unsupervised learning

Download

By S Mukherjee, A Hauptmann, O Öktem, M Pereyra, CB Schönlieb. IEEE Signal Processing Magazine, vol. 40, no. 1, pp. 164-182, Jan. 2023

Learned reconstruction methods with convergence guarantees

Download

By T Partridge, A Astolfo, SS Shankar, FA Vittoria, M Endrizzi, S Arridge, T. Riley-Smith, I. G. Haig, D. Bate & A. Olivo. Nature communications 13 (1), 1-12 September 2022

Enhanced detection of threat materials by dark-field x-ray imaging combined with deep neural networks.

Download

By R Barbano, Ž Kereta, A Hauptmann, SR Arridge, B Jin. Inverse Problems 38 (10), 104004 September 2022

Unsupervised knowledge-transfer for learned image reconstruction.

Download

By E Maneas, A Hauptmann, EJ Alles, W Xia, S Noimark, AL David, S Arridge, AE Desjardins International Journal of Computer Assisted Radiology and Surgery, 1-5. September 2022

Enhancement of instrumented ultrasonic tracking images using deep learning.

Download

By O Jaubert, J Montalt-Tordera, J Brown, D Knight, S Arridge, J Steeden, V Muthurangu. Magn Reson Med . 2022 Nov;88(5):2179-2189. Epub July 2022

FReSCO: Flow Reconstruction and Segmentation for low latency Cardiac Output monitoring using deep artifact suppression and segmentation.

Download

By A Arjas, EJ Alles, E Maneas, S Arridge, A Desjardins, MJ Sillanpää, A Hauptmann. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 69. May 2022

Latest publications and preprints

2024

By Tianhao Hu, Bangti Jin and Zhi Zhou

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks

SIAM Journal on Scientific Computing, Volume 46, Issue 4 Aug 2024

By Matthias J. Ehrhardt, Zeljko Kereta, Jingwei Liang, Junqi Tang

A Guide to Stochastic Optimisation for Large-Scale Inverse Problems

Preprint 10 July 2024

By James Rowbottom, Georg Maierhofer, Teo Deveney, Katharina Schratz, Pietro Liò, Carola-Bibiane Schönlieb, Chris Budd

G-Adaptive mesh refinement -- leveraging graph neural networks and differentiable finite element solvers

Preprint 5 July 2024

By Simone Appella, Simon Arridge, Chris Budd, Teo Deveney, Lisa Maria Kreusser

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks

Preprint 3 July 2024

By Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb

Designing stable neural networks using convex analysis and ODEs

Physica D: Nonlinear Phenomena, Volume 463, July 2024

By Alexander Denker, Francisco Vargas, Shreyas Padhy, Kieran Didi, Simon Mathis, Vincent Dutordoir, Riccardo Barbano, Emile Mathieu, Urszula Julia Komorowska, Pietro Lio

DEFT: Efficient Finetuning of Conditional Diffusion Models by Learning the Generalised h-transform

Preprint 3 June 2024

By B Jin, Z Zhou, J Zou

On the approximation of bi-Lipschitz maps by invertible neural networks

Neural Networks Volume 174, June 2024

By Kereta, Zeljko; Denker, Alexander; Barbano, Riccardo; Jin, Bangti; Thielemans, Kris; Arrdige, Simon; Singh, Imraj;

MR-blob: Coordinate-Transformed Blobs for Parallel MRI Reconstruction

International Society for Magnetic Resonance in Medicine - Proceedings of the 2024 ISMRM & ISMRT Annual Meeting & Exhibition. May 2024

By Gevik Grigorian, Sandip V. George, Simon Arridge

Learning Governing Equations of Unobserved States in Dynamical Systems

Preprint 7 May 2024

By Alexander Denker, Zeljko Kereta, Imraj Singh, Tom Freudenberg, Tobias Kluth, Peter Maass, Simon Arridge

Data-driven approaches for electrical impedance tomography image segmentation from partial boundary data

Preprint 6 May 2024

By Bangti Jin, Xiyao Li, Qimeng Quan, and Zhi Zhou

Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks

SIAM Journal on Imaging Sciences 17 (1), 147-187 March 2024

By Richard Nickl, Grigorios A. Pavliotis, Kolyan Ray

Bayesian Nonparametric Inference in McKean-Vlasov models

Preprint 25 April 2024

By Gevik Grigorian, Sandip V. George, Sam Lishak, Rebecca J. Shipley and Simon Arridge

A hybrid neural ordinary differential equation model of the cardiovascular system

Journal of the Royal Society Interface, March 2024

By Antonin Chambolle, Claire Delplancke, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb & Junqi Tang

Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes

Journal of Mathematical Imaging and Vision March 2024

By Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb, Junqi Tang

Practical Acceleration of the Condat-Vũ Algorithm

Preprint March 2024

By Johannes Hertrich, Christian Wald, Fabian Altekrüger, Paul Hagemann

Generative sliced MMD flows with Riesz kernels

Preprint 20 February 2024

By Tim Jahn, Bangti Jin

Early Stopping of Untrained Convolutional Neural Networks

Preprint February 2024

By Chris Budd, Rachel Kuske

Dynamic tipping and cyclic folds, in a one-dimensional non-smooth dynamical system linked to climate models

Physica D: Nonlinear Phenomena Volumer 457 January 2024

By D Riccio, M J Ehrhardt, M Benning

Regularization of Inverse Problems: Deep Equilibrium Models versus Bilevel Learning

Numerical Algebra, Control and Optimization (NACO) - Early Access January 2024

By Matthias J. Ehrhardt, Silvia Gazzola, Sebastian J. Scott

On Optimal Regularization Parameters via Bilevel Learning

Preprint May 2023, revised January 2024

By M. A. G. Duff, N. D. F. Campbell & M. J. Ehrhardt

Regularising Inverse Problems with Generative Machine Learning Models

Journal of Mathematical Imaging and Vision - January 2024

2023

By E Celledoni, D Murari, B Owren, CB Schönlieb, F Sherry

Dynamical systems' based neural networks

SIAM Journal on Scientific Computing Volume 45, Issue 6, pp A3071- A3094 December 2023

By M Roberts, A Hazan, S Dittmer, JHF Rudd, Carola-Bibiane Schönlieb

The curious case of the test set AUROC

Preprint - December 2023

By K Abraham, N Deo

Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse Problems

Preprint - December 2023

By Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou

Electrical Impedance Tomography with Deep Calderón Method

Journal of Computational Physics Volume 493, 15 November 2023

By Imraj Singh, Alexander Denker, Bangti Jin, Kris Thielemans, Simon Arridge

Investigating Intensity Normalisation for PET Reconstruction with Supervised Deep Learning

Proceedings of the IEEE Nuclear Science Symposium (NSS), Medical Imaging Conference (MIC) and Room Temperature Semiconductor Detector (RTSD) Conference 2023. (pp. pp. 1-2). IEEE (In press). November 2023