Physics-Driven Deep Learning for Computational Magnetic Resonance Imaging
Not on the map. Why?
Abstract (arXiv)
Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments in incorporating physics information into learning-based MRI reconstruction. We consider inverse problems with both linear and non-linear forward models for computational MRI, and review the classical approaches for solving these. We then focus on physics-driven deep learning approaches, covering physics-driven loss functions, plug-and-play methods, generative models, and unrolled networks. We highlight domain-specific challenges such as real- and complex-valued building blocks of neural networks, and translational applications in MRI with linear and non-linear forward models. Finally, we discuss common issues and open challenges, and draw connections to the importance of physics-driven learning when combined with other downstream tasks in the medical imaging pipeline.
Key facts. Cited by 49 papers in the map (data through 7 Oct 2026). Builds on 49 of its 111 references that are in the map. First posted on arXiv 23 Mar 2022.
Builds on
49 of 111 references.
References · 49
- 2017Deep Image Priorcited by 1,097
- 2018Noise2Noise: Learning Image Restoration without Clean Datacited by 526
- 2017MoDL: Model Based Deep Learning Architecture for Inverse Problemscited by 384
- 2017Learning a Variational Network for Reconstruction of Accelerated MRI Datacited by 340
- 2017A Deep Cascade of Convolutional Neural Networks for Dynamic MR Image Reconstructioncited by 231
- 2017Deep Complex Networkscited by 215
- 2019On instabilities of deep learning in image reconstruction - Does AI come at a cost?cited by 211
- 2020End-to-End Variational Networks for Accelerated MRI Reconstructioncited by 201
- 2018Multi-level Wavelet-CNN for Image Restorationcited by 184
- 2019A Topological Loss Function for Deep-Learning based Image Segmentation using Persistent Homologycited by 134
- 2021Deep Equilibrium Architectures for Inverse Problems in Imagingcited by 126
- 2017Convolutional Recurrent Neural Networks for Dynamic MR Image Reconstructioncited by 105
37 more
- 2017Deep learning for undersampled MRI reconstructioncited by 91
- 2019Deep Learning Methods for Parallel Magnetic Resonance Image Reconstructioncited by 81
- 2019Plug and play methods for magnetic resonance imaging (long version)cited by 75
- 2019Time-Dependent Deep Image Prior for Dynamic MRIcited by 70
- 2019RARE: Image Reconstruction using Deep Priors Learned without Ground Truthcited by 64
- 2020Advancing machine learning for MR image reconstruction with an open competition: Overview of the 2019 fastMRI challengecited by 59
- 2021Zero-Shot Self-Supervised Learning for MRI Reconstructioncited by 53
- 2019Uncertainty Quantification in Deep MRI Reconstructioncited by 49
- 2018Neural Proximal Gradient Descent for Compressive Imagingcited by 46
- 2019GrappaNet: Combining Parallel Imaging with Deep Learning for Multi-Coil MRI Reconstructioncited by 45
- 2017MR image reconstruction using deep density priorscited by 37
- 2019VS-Net: Variable splitting network for accelerated parallel MRI reconstructioncited by 31
- 2017Better than Real: Complex-valued Neural Nets for MRI Fingerprintingcited by 30
- 2021Bayesian Uncertainty Estimation of Learned Variational MRI Reconstructioncited by 30
- 2021B-spline Parameterized Joint Optimization of Reconstruction and K-space Trajectories (BJORK) for Accelerated 2D MRIcited by 29
- 2020Unpaired Deep Learning for Accelerated MRI using Optimal Transport Driven CycleGANcited by 28
- 2020High-level Prior-based Loss Functions for Medical Image Segmentation: A Surveycited by 28
- 2021SHINE: SHaring the INverse Estimate from the forward pass for bi-level optimization and implicit modelscited by 26
- 2018Quantitative Susceptibility Mapping using Deep Neural Network: QSMnetcited by 24
- 2019Model Learning: Primal Dual Networks for Fast MR imagingcited by 22
- 2018Joint CS-MRI Reconstruction and Segmentation with a Unified Deep Networkcited by 21
- 2020An Adaptive Intelligence Algorithm for Undersampled Knee MRI Reconstructioncited by 19
- 20204DFlowNet: Super-Resolution 4D Flow MRI using Deep Learning and Computational Fluid Dynamicscited by 18
- 2019Deep Learning Based Detection and Correction of Cardiac MR Motion Artefacts During Reconstruction for High-Quality Segmentationcited by 17
- 2019Memory-efficient Learning for Large-scale Computational Imaging -- NeurIPS deep inverse workshopcited by 17
- 2019Fidelity Imposed Network Edit (FINE) for Solving Ill-Posed Image Reconstructioncited by 16
- 2020Multi-Mask Self-Supervised Learning for Physics-Guided Neural Networks in Highly Accelerated MRIcited by 13
- 2020XPDNet for MRI Reconstruction: an application to the 2020 fastMRI challengecited by 13
- 2021LAPNet: Non-rigid Registration derived in k-space for Magnetic Resonance Imagingcited by 11
- 2020Self-Supervised Physics-Guided Deep Learning Reconstruction For High-Resolution 3D LGE CMRcited by 10
- 2021MoDL-QSM: Model-based Deep Learning for Quantitative Susceptibility Mappingcited by 8
- 2018DeepASL: Kinetic Model Incorporated Loss for Denoising Arterial Spin Labeled MRI via Deep Residual Learningcited by 4
- 2021Subtle Data Crimes: Naively training machine learning algorithms could lead to overly-optimistic resultscited by 4
- 2019Nonlinear Dipole Inversion (NDI) enables Quantitative Susceptibility Mapping (QSM) without parameter tuningcited by 2
- 2018Direct Estimation of Pharmacokinetic Parameters from DCE-MRI using Deep CNN with Forward Physical Model Losscited by 1
- 2018Non-Learning based Deep Parallel MRI Reconstruction (NLDpMRI)cited by 1
- 2020Game of Learning Bloch Equation Simulations for MR Fingerprintingcited by 1
Built on by
Citing papers per year: 2022: 2; 2023: 11; 2024: 10; 2025: 22; 2026: 4.
49 papers.
Sort:
By area:
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noisecited by 29
- 2024MambaMIR: An Arbitrary-Masked Mamba for Joint Medical Image Reconstruction and Uncertainty Estimationcited by 19
- 2023Deep Learning for Retrospective Motion Correction in MRI: A Comprehensive Reviewcited by 18
- 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstructioncited by 14
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstructioncited by 13
- 2024Zero-Shot Adaptation for Approximate Posterior Sampling of Diffusion Models in Inverse Problemscited by 9
- 2023Unsupervised reconstruction of accelerated cardiac cine MRI using Neural Fieldscited by 8
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Predictioncited by 8
- 2023PINQI: An End-to-End Physics-Informed Approach to Learned Quantitative MRI Reconstructioncited by 7
- 2024Physics-Driven Autoregressive State Space Models for Medical Image Reconstructioncited by 7
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Surveycited by 7
- 2023K-band: Self-supervised MRI Reconstruction via Stochastic Gradient Descent over K-space Subsetscited by 5
37 more
- 2023Robust Physics-based Deep MRI Reconstruction Via Diffusion Purificationcited by 4
- 2025PISCO: Self-Supervised k-Space Regularization for Improved Neural Implicit k-Space Representations of Dynamic MRIcited by 4
- 2025Cardiac Digital Twins at Scale from MRI: Open Tools and Representative Models from ~55000 UK Biobank Participantscited by 4
- 2025PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problemscited by 4
- 2023Adapting model-based deep learning to multiple acquisition conditions: Ada-MoDLcited by 3
- 2025Deep learning of personalized priors from past MRI scans enables fast, quality-enhanced point-of-care MRI with low-cost systemscited by 3
- 2022Denoising Generalized Expectation-Consistent Approximation for MR Image Recoverycited by 2
- 2023Uncertainty Estimation and Out-of-Distribution Detection for Deep Learning-Based Image Reconstruction using the Local Lipschitzcited by 2
- 2023Non-Cartesian Self-Supervised Physics-Driven Deep Learning Reconstruction for Highly-Accelerated Multi-Echo Spiral fMRIcited by 2
- 2024Self-Supervised k-Space Regularization for Motion-Resolved Abdominal MRI Using Neural Implicit k-Space Representationcited by 2
- 2024Point Neuron Learning: A New Physics-Informed Neural Network Architecturecited by 2
- 2024Fast MRI for All: Bridging Access Gaps by Training without Raw Datacited by 2
- 2025An unsupervised method for MRI recovery: Deep image prior with structured sparsitycited by 2
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problemscited by 2
- 2025Automated Tuning for Diffusion Inverse Problem Solvers without Generative Prior Retrainingcited by 2
- 2025Time-Embedded Algorithm Unrolling for Computational MRIcited by 2
- 2024Continuous K-space Recovery Network with Image Guidance for Fast MRI Reconstructioncited by 1
- 2025Rational Gaussian wavelets and corresponding model driven neural networkscited by 1
- 2025Lightweight Hypercomplex MRI Reconstruction: A Generalized Kronecker-Parameterized Approachcited by 1
- 2025Deep Learning Assisted Outer Volume Removal for Highly-Accelerated Real-Time Dynamic MRIcited by 1
- 2025From Coarse to Continuous: Progressive Refinement Implicit Neural Representation for Motion-Robust Anisotropic MRI Reconstructioncited by 1
- 2025CUTE-MRI: Conformalized Uncertainty-based framework for Time-adaptivE MRIcited by 1
- 2025Self-supervised Deep Unrolled Model with Implicit Neural Representation Regularization for Accelerating MRI Reconstructioncited by 1
- 2025Equivariant Deep Equilibrium Models for Imaging Inverse Problemscited by 1
- 2023Meta-Prior: Meta learning for Adaptive Inverse Problem Solverscited by 0
- 2024Motion-Informed Deep Learning for Brain MR Image Reconstruction Frameworkcited by 0
- 2024Real-time cardiac cine MRI -- A comparison of a diffusion probabilistic model with alternative state-of-the-art image reconstruction techniques for undersampled spiral acquisitionscited by 0
- 2025Training-Free Adversarial Robustness in Computational MRIcited by 0
- 2025Evaluating structural uncertainty in accelerated MRI: are voxelwise measures useful surrogates?cited by 0
- 2025Efficient Noise Calculation in Deep Learning-based MRI Reconstructionscited by 0
- 2025Edge Computing for Physics-Driven AI in Computational MRI: A Feasibility Studycited by 0
- 2025Dynamically Weighted Momentum with Adaptive Step Sizes for Efficient Deep Network Trainingcited by 0
- 2025Minimax Multi-Target Conformal Prediction with Applications to Imaging Inverse Problemscited by 0
- 2026Accelerating Stroke MRI with Diffusion Probabilistic Models through Large-Scale Pre-training and Target-Specific Fine-Tuningcited by 0
- 2026NexOP: Joint Optimization of NEX-Aware k-space Sampling and Image Reconstruction for Low-Field MRIcited by 0
- 2026Harnessing Magnitude-Only and Complex Measurements for Improved Dynamic MRI Reconstruction with Learned Priorscited by 0
- 2026Consistency Models for Fast MRI Reconstruction Using Regularization by Denoisingcited by 0
- 2026Consistency Models for Fast MRI Reconstruction Using Regularization by Denoising20 Aug 2026
- 2026Harnessing Magnitude-Only and Complex Measurements for Improved Dynamic MRI Reconstruction with Learned Priors18 Aug 2026
- 2026NexOP: Joint Optimization of NEX-Aware k-space Sampling and Image Reconstruction for Low-Field MRI12 May 2026
- 2026Accelerating Stroke MRI with Diffusion Probabilistic Models through Large-Scale Pre-training and Target-Specific Fine-Tuning13 Mar 2026
- 2025Equivariant Deep Equilibrium Models for Imaging Inverse Problems24 Nov 2025
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Survey20 Nov 2025
- 2025Minimax Multi-Target Conformal Prediction with Applications to Imaging Inverse Problems17 Nov 2025
- 2025Dynamically Weighted Momentum with Adaptive Step Sizes for Efficient Deep Network Training29 Oct 2025
- 2025Time-Embedded Algorithm Unrolling for Computational MRI18 Oct 2025
- 2025Self-supervised Deep Unrolled Model with Implicit Neural Representation Regularization for Accelerating MRI Reconstruction8 Oct 2025
- 2025PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems25 Sep 2025
- 2025Automated Tuning for Diffusion Inverse Problem Solvers without Generative Prior Retraining11 Sep 2025
37 more
- 2025CUTE-MRI: Conformalized Uncertainty-based framework for Time-adaptivE MRI20 Aug 2025
- 2025From Coarse to Continuous: Progressive Refinement Implicit Neural Representation for Motion-Robust Anisotropic MRI Reconstruction19 Jun 2025
- 2025Edge Computing for Physics-Driven AI in Computational MRI: A Feasibility Study30 May 2025
- 2025Cardiac Digital Twins at Scale from MRI: Open Tools and Representative Models from ~55000 UK Biobank Participants27 May 2025
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problems14 May 2025
- 2025Deep learning of personalized priors from past MRI scans enables fast, quality-enhanced point-of-care MRI with low-cost systems5 May 2025
- 2025Efficient Noise Calculation in Deep Learning-based MRI Reconstructions4 May 2025
- 2025Deep Learning Assisted Outer Volume Removal for Highly-Accelerated Real-Time Dynamic MRI1 May 2025
- 2025Evaluating structural uncertainty in accelerated MRI: are voxelwise measures useful surrogates?13 Mar 2025
- 2025Lightweight Hypercomplex MRI Reconstruction: A Generalized Kronecker-Parameterized Approach7 Mar 2025
- 2025Rational Gaussian wavelets and corresponding model driven neural networks3 Feb 2025
- 2025PISCO: Self-Supervised k-Space Regularization for Improved Neural Implicit k-Space Representations of Dynamic MRI16 Jan 2025
- 2025Training-Free Adversarial Robustness in Computational MRI3 Jan 2025
- 2025An unsupervised method for MRI recovery: Deep image prior with structured sparsity2 Jan 2025
- 2024Physics-Driven Autoregressive State Space Models for Medical Image Reconstruction12 Dec 2024
- 2024Fast MRI for All: Bridging Access Gaps by Training without Raw Data20 Nov 2024
- 2024Continuous K-space Recovery Network with Image Guidance for Fast MRI Reconstruction18 Nov 2024
- 2024Real-time cardiac cine MRI -- A comparison of a diffusion probabilistic model with alternative state-of-the-art image reconstruction techniques for undersampled spiral acquisitions7 Oct 2024
- 2024Point Neuron Learning: A New Physics-Informed Neural Network Architecture30 Aug 2024
- 2024Zero-Shot Adaptation for Approximate Posterior Sampling of Diffusion Models in Inverse Problems16 Jul 2024
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Prediction28 May 2024
- 2024Motion-Informed Deep Learning for Brain MR Image Reconstruction Framework28 May 2024
- 2024Self-Supervised k-Space Regularization for Motion-Resolved Abdominal MRI Using Neural Implicit k-Space Representation12 Apr 2024
- 2024MambaMIR: An Arbitrary-Masked Mamba for Joint Medical Image Reconstruction and Uncertainty Estimation28 Feb 2024
- 2023Non-Cartesian Self-Supervised Physics-Driven Deep Learning Reconstruction for Highly-Accelerated Multi-Echo Spiral fMRI9 Dec 2023
- 2023Meta-Prior: Meta learning for Adaptive Inverse Problem Solvers30 Nov 2023
- 2023Robust Physics-based Deep MRI Reconstruction Via Diffusion Purification11 Sep 2023
- 2023K-band: Self-supervised MRI Reconstruction via Stochastic Gradient Descent over K-space Subsets5 Aug 2023
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstruction2 Aug 2023
- 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstruction25 Jul 2023
- 2023Unsupervised reconstruction of accelerated cardiac cine MRI using Neural Fields24 Jul 2023
- 2023PINQI: An End-to-End Physics-Informed Approach to Learned Quantitative MRI Reconstruction19 Jun 2023
- 2023Uncertainty Estimation and Out-of-Distribution Detection for Deep Learning-Based Image Reconstruction using the Local Lipschitz12 May 2023
- 2023Deep Learning for Retrospective Motion Correction in MRI: A Comprehensive Review11 May 2023
- 2023Adapting model-based deep learning to multiple acquisition conditions: Ada-MoDL21 Apr 2023
- 2022Denoising Generalized Expectation-Consistent Approximation for MR Image Recovery9 Jun 2022
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noise20 May 2022
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstructioncited by 13
- 2024Zero-Shot Adaptation for Approximate Posterior Sampling of Diffusion Models in Inverse Problemscited by 9
- 2023Robust Physics-based Deep MRI Reconstruction Via Diffusion Purificationcited by 4
- 2025PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problemscited by 4
- 2025Automated Tuning for Diffusion Inverse Problem Solvers without Generative Prior Retrainingcited by 2
- 2024Real-time cardiac cine MRI -- A comparison of a diffusion probabilistic model with alternative state-of-the-art image reconstruction techniques for undersampled spiral acquisitionscited by 0
- 2026Accelerating Stroke MRI with Diffusion Probabilistic Models through Large-Scale Pre-training and Target-Specific Fine-Tuningcited by 0
- 2026Consistency Models for Fast MRI Reconstruction Using Regularization by Denoisingcited by 0
- 2026Consistency Models for Fast MRI Reconstruction Using Regularization by Denoising20 Aug 2026
- 2026Accelerating Stroke MRI with Diffusion Probabilistic Models through Large-Scale Pre-training and Target-Specific Fine-Tuning13 Mar 2026
- 2025PnP-CM: Consistency Models as Plug-and-Play Priors for Inverse Problems25 Sep 2025
- 2025Automated Tuning for Diffusion Inverse Problem Solvers without Generative Prior Retraining11 Sep 2025
- 2024Real-time cardiac cine MRI -- A comparison of a diffusion probabilistic model with alternative state-of-the-art image reconstruction techniques for undersampled spiral acquisitions7 Oct 2024
- 2024Zero-Shot Adaptation for Approximate Posterior Sampling of Diffusion Models in Inverse Problems16 Jul 2024
- 2023Robust Physics-based Deep MRI Reconstruction Via Diffusion Purification11 Sep 2023
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstruction2 Aug 2023
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noisecited by 29
- 2023Deep Learning for Retrospective Motion Correction in MRI: A Comprehensive Reviewcited by 18
- 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstructioncited by 14
- 2023Unsupervised reconstruction of accelerated cardiac cine MRI using Neural Fieldscited by 8
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Predictioncited by 8
- 2023PINQI: An End-to-End Physics-Informed Approach to Learned Quantitative MRI Reconstructioncited by 7
- 2024Physics-Driven Autoregressive State Space Models for Medical Image Reconstructioncited by 7
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Surveycited by 7
- 2023K-band: Self-supervised MRI Reconstruction via Stochastic Gradient Descent over K-space Subsetscited by 5
- 2025PISCO: Self-Supervised k-Space Regularization for Improved Neural Implicit k-Space Representations of Dynamic MRIcited by 4
- 2025Cardiac Digital Twins at Scale from MRI: Open Tools and Representative Models from ~55000 UK Biobank Participantscited by 4
- 2023Adapting model-based deep learning to multiple acquisition conditions: Ada-MoDLcited by 3
12 most cited of 40 All 40 (JSON)
- 2026Harnessing Magnitude-Only and Complex Measurements for Improved Dynamic MRI Reconstruction with Learned Priors18 Aug 2026
- 2026NexOP: Joint Optimization of NEX-Aware k-space Sampling and Image Reconstruction for Low-Field MRI12 May 2026
- 2025Equivariant Deep Equilibrium Models for Imaging Inverse Problems24 Nov 2025
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Survey20 Nov 2025
- 2025Minimax Multi-Target Conformal Prediction with Applications to Imaging Inverse Problems17 Nov 2025
- 2025Dynamically Weighted Momentum with Adaptive Step Sizes for Efficient Deep Network Training29 Oct 2025
- 2025Time-Embedded Algorithm Unrolling for Computational MRI18 Oct 2025
- 2025Self-supervised Deep Unrolled Model with Implicit Neural Representation Regularization for Accelerating MRI Reconstruction8 Oct 2025
- 2025CUTE-MRI: Conformalized Uncertainty-based framework for Time-adaptivE MRI20 Aug 2025
- 2025From Coarse to Continuous: Progressive Refinement Implicit Neural Representation for Motion-Robust Anisotropic MRI Reconstruction19 Jun 2025
- 2025Edge Computing for Physics-Driven AI in Computational MRI: A Feasibility Study30 May 2025
- 2025Cardiac Digital Twins at Scale from MRI: Open Tools and Representative Models from ~55000 UK Biobank Participants27 May 2025
12 newest of 40 All 40 (JSON)