DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Models
On the map: Diffusion models → Medical imaging and segmentation
Abstract (arXiv)
Magnetic resonance imaging (MRI) is a common and life-saving medical imaging technique. However, acquiring high signal-to-noise ratio MRI scans requires long scan times, resulting in increased costs and patient discomfort, and decreased throughput. Thus, there is great interest in denoising MRI scans, especially for the subtype of diffusion MRI scans that are severely SNR-limited. While most prior MRI denoising methods are supervised in nature, acquiring supervised training datasets for the multitude of anatomies, MRI scanners, and scan parameters proves impractical. Here, we propose Denoising Diffusion Models for Denoising Diffusion MRI (DDM2), a self-supervised denoising method for MRI denoising using diffusion denoising generative models. Our three-stage framework integrates statistic-based denoising theory into diffusion models and performs denoising through conditional generation. During inference, we represent input noisy measurements as a sample from an intermediate posterior distribution within the diffusion Markov chain. We conduct experiments on 4 real-world in-vivo diffusion MRI datasets and show that our DDM2 demonstrates superior denoising performances ascertained with clinically-relevant visual qualitative and quantitative metrics.
Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). Placed in Medical imaging and segmentation, one of 14 directions in Diffusion models. Builds on 33 of its 56 references that are in the map. First posted on arXiv 6 Feb 2023.
Builds on
33 of 56 references.
Closest ancestors · 2
Same direction, newest first
- 2021Solving Inverse Problems in Medical Imaging with Score-Based Generative Models15 Nov
- 2020Patch2Self: Denoising Diffusion MRI with Self-Supervised Learning2 Nov
Other references · 31
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2020Denoising Diffusion Implicit Modelscited by 9,655
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2021Image Super-Resolution via Iterative Refinementcited by 1,506
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
- 2017Deep Image Priorcited by 1,097
- 2021Diffusion Probabilistic Models for 3D Point Cloud Generationcited by 734
- 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 620
19 more
- 2018Noise2Noise: Learning Image Restoration without Clean Datacited by 526
- 20213D Shape Generation and Completion through Point-Voxel Diffusioncited by 516
- 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generationcited by 511
- 2018Noise2Void - Learning Denoising from Single Noisy Imagescited by 359
- 2021Come-Closer-Diffuse-Faster: Accelerating Conditional Diffusion Models for Inverse Problems through Stochastic Contractioncited by 306
- 2019Noise2Self: Blind Denoising by Self-Supervisioncited by 274
- 2022Learning Fast Samplers for Diffusion Models by Differentiating Through Sample Qualitycited by 181
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Imagescited by 171
- 2019High-Quality Self-Supervised Deep Image Denoisingcited by 161
- 2021Noise2Score: Tweedie's Approach to Self-Supervised Image Denoising without Clean Imagescited by 110
- 2020Solving Linear Inverse Problems Using the Prior Implicit in a Denoisercited by 78
- 2022MR Image Denoising and Super-Resolution Using Regularized Reverse Diffusioncited by 66
- 2022BDDM: Bilateral Denoising Diffusion Models for Fast and High-Quality Speech Synthesiscited by 64
- 2021Measuring Robustness in Deep Learning Based Compressive Sensingcited by 53
- 2018Unsupervised Learning with Stein's Unbiased Risk Estimatorcited by 47
- 2022SKM-TEA: A Dataset for Accelerated MRI Reconstruction with Dense Image Labels for Quantitative Clinical Evaluationcited by 42
- 2021VORTEX: Physics-Driven Data Augmentations Using Consistency Training for Robust Accelerated MRI Reconstructioncited by 16
- 2020Accelerating Prostate Diffusion Weighted MRI using Guided Denoising Convolutional Neural Network: Retrospective Feasibility Studycited by 5
- 2021Noise2Recon: Enabling Joint MRI Reconstruction and Denoising with Semi-Supervised and Self-Supervised Learningcited by 2
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Citing papers per year: 2023: 11; 2024: 20; 2025: 14; 2026: 5.
50 papers.
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- 2023Generative AI for Medical Imaging: extending the MONAI Frameworkcited by 68
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Datacited by 44
- 2023Solving Inverse Problems with Score-Based Generative Priors learned from Noisy Datacited by 40
- 2023GSURE-Based Diffusion Model Training with Corrupted Datacited by 40
- 2024Efficient Diffusion Models: A Comprehensive Survey from Principles to Practicescited by 39
- 2023DiffBoost: Enhancing Medical Image Segmentation via Text-Guided Diffusion Modelcited by 23
- 2023Correlated and Multi-frequency Diffusion Modeling for Highly Under-sampled MRI Reconstructioncited by 14
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstructioncited by 13
- 2024Generative AI-Driven Human Digital Twin in IoT-Healthcare: A Comprehensive Surveycited by 11
- 2024Replication in Visual Diffusion Models: A Survey and Outlookcited by 11
- 2023A Survey of Emerging Applications of Diffusion Probabilistic Models in MRIcited by 9
- 2024MedDiff-FM: A Diffusion-based Foundation Model for Versatile Medical Image Applicationscited by 7
38 more
- 2025Measurement Score-Based Diffusion Modelcited by 7
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Surveycited by 7
- 2024When Diffusion MRI Meets Diffusion Model: A Novel Deep Generative Model for Diffusion MRI Generationcited by 6
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinementcited by 6
- 2025Score-based Self-supervised MRI Denoisingcited by 6
- 2023Diffusion-based Radiotherapy Dose Prediction Guided by Inter-slice Aware Structure Encodingcited by 5
- 2024PFCM: Poisson flow consistency models for low-dose CT image denoisingcited by 4
- 2024Field-of-View Extension for Brain Diffusion MRI via Deep Generative Modelscited by 4
- 2024RadGazeGen: Radiomics and Gaze-guided Medical Image Generation using Diffusion Modelscited by 4
- 2024Robust multi-coil MRI reconstruction via self-supervised denoisingcited by 4
- 2024Volumetric Conditioning Module to Control Pretrained Diffusion Models for 3D Medical Imagescited by 3
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Modelscited by 3
- 2026Improving 2D Diffusion Models for 3D Medical Imaging with Inter-Slice Consistent Stochasticitycited by 3
- 2023A Unified Learning Model for Estimating Fiber Orientation Distribution Functions on Heterogeneous Multi-shell Diffusion-weighted MRIcited by 2
- 2024White Matter Geometry-Guided Score-Based Diffusion Model for Tissue Microstructure Imputation in Tractography Imagingcited by 2
- 2023Generative AI for Rapid Diffusion MRI with Improved Image Quality, Reliability and Generalizabilitycited by 1
- 2023DiffCMR: Fast Cardiac MRI Reconstruction with Diffusion Probabilistic Modelscited by 1
- 2024Visual Privacy Auditing with Diffusion Modelscited by 1
- 2024Iterative Learning for Joint Image Denoising and Motion Artifact Correction of 3D Brain MRIcited by 1
- 2024QID2: An Image-Conditioned Diffusion Model for Q-space Up-sampling of DWI Datacited by 1
- 2024Multi-Modality Conditioned Variational U-Net for Field-of-View Extension in Brain Diffusion MRIcited by 1
- 2024Equivariant spatio-hemispherical networks for diffusion MRI deconvolutioncited by 1
- 2025MExD: An Expert-Infused Diffusion Model for Whole-Slide Image Classificationcited by 1
- 2025Score-based Diffusion Model for Unpaired Virtual Histology Stainingcited by 1
- 2025MAN: Latent Diffusion Enhanced Multistage Anti-Noise Network for Efficient and High-Quality Low-Dose CT Image Denoisingcited by 1
- 2025USB: Unified Synthetic Brain Framework for Bidirectional Pathology-Healthy Generation and Editingcited by 1
- 2026Unsupervised Denoising of Diffusion-Weighted Images with Bias and Variance Corrected Noise Modelingcited by 1
- 2024Investigating Self-Supervised Image Denoising with Denaturationcited by 0
- 2024Reliable Deep Diffusion Tensor Estimation: Rethinking the Power of Data-Driven Optimization Routinecited by 0
- 2024Rician Denoising Diffusion Probabilistic Models For Sodium Breast MRI Enhancementcited by 0
- 2025SNRAware: Improved Deep Learning MRI Denoising with SNR Unit Training and G-factor Map Augmentationcited by 0
- 2025Efficient Noise Calculation in Deep Learning-based MRI Reconstructionscited by 0
- 2025Enhancing Diffusion-Weighted Images (DWI) for Diffusion MRI: Is it Enough without Non-Diffusion-Weighted B=0 Reference?cited by 0
- 2025What is Adversarial Training for Diffusion Models?cited by 0
- 2025MID: A Self-supervised Multimodal Iterative Denoising Frameworkcited by 0
- 2026SSPFormer: Self-Supervised Pretrained Transformer for MRI Imagescited by 0
- 2026TensorLDM: A Component-Wise Latent Diffusion Model for Volumetric DTI Reconstruction from Sparse DWIscited by 0
- 2026Joint Medical Image Enhancement and Segmentation with Diffusion-based Symbiotic Information Interactioncited by 0
- 2026Joint Medical Image Enhancement and Segmentation with Diffusion-based Symbiotic Information Interaction30 Jun 2026
- 2026TensorLDM: A Component-Wise Latent Diffusion Model for Volumetric DTI Reconstruction from Sparse DWIs24 Jun 2026
- 2026Unsupervised Denoising of Diffusion-Weighted Images with Bias and Variance Corrected Noise Modeling22 Feb 2026
- 2026Improving 2D Diffusion Models for 3D Medical Imaging with Inter-Slice Consistent Stochasticity4 Feb 2026
- 2026SSPFormer: Self-Supervised Pretrained Transformer for MRI Images19 Jan 2026
- 2025USB: Unified Synthetic Brain Framework for Bidirectional Pathology-Healthy Generation and Editing29 Nov 2025
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Survey20 Nov 2025
- 2025MID: A Self-supervised Multimodal Iterative Denoising Framework2 Nov 2025
- 2025MAN: Latent Diffusion Enhanced Multistage Anti-Noise Network for Efficient and High-Quality Low-Dose CT Image Denoising28 Sep 2025
- 2025Score-based Diffusion Model for Unpaired Virtual Histology Staining29 Jun 2025
- 2025What is Adversarial Training for Diffusion Models?27 May 2025
- 2025Enhancing Diffusion-Weighted Images (DWI) for Diffusion MRI: Is it Enough without Non-Diffusion-Weighted B=0 Reference?19 May 2025
38 more
- 2025Measurement Score-Based Diffusion Model17 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025Efficient Noise Calculation in Deep Learning-based MRI Reconstructions4 May 2025
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Models31 Mar 2025
- 2025SNRAware: Improved Deep Learning MRI Denoising with SNR Unit Training and G-factor Map Augmentation23 Mar 2025
- 2025MExD: An Expert-Infused Diffusion Model for Whole-Slide Image Classification16 Mar 2025
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinement23 Jan 2025
- 2024Robust multi-coil MRI reconstruction via self-supervised denoising19 Nov 2024
- 2024Equivariant spatio-hemispherical networks for diffusion MRI deconvolution18 Nov 2024
- 2024Volumetric Conditioning Module to Control Pretrained Diffusion Models for 3D Medical Images29 Oct 2024
- 2024MedDiff-FM: A Diffusion-based Foundation Model for Versatile Medical Image Applications20 Oct 2024
- 2024Efficient Diffusion Models: A Comprehensive Survey from Principles to Practices15 Oct 2024
- 2024Rician Denoising Diffusion Probabilistic Models For Sodium Breast MRI Enhancement15 Oct 2024
- 2024RadGazeGen: Radiomics and Gaze-guided Medical Image Generation using Diffusion Models1 Oct 2024
- 2024Multi-Modality Conditioned Variational U-Net for Field-of-View Extension in Brain Diffusion MRI20 Sep 2024
- 2024Reliable Deep Diffusion Tensor Estimation: Rethinking the Power of Data-Driven Optimization Routine4 Sep 2024
- 2024QID2: An Image-Conditioned Diffusion Model for Q-space Up-sampling of DWI Data3 Sep 2024
- 2024When Diffusion MRI Meets Diffusion Model: A Novel Deep Generative Model for Diffusion MRI Generation23 Aug 2024
- 2024White Matter Geometry-Guided Score-Based Diffusion Model for Tissue Microstructure Imputation in Tractography Imaging28 Jul 2024
- 2024Replication in Visual Diffusion Models: A Survey and Outlook7 Jul 2024
- 2024Field-of-View Extension for Brain Diffusion MRI via Deep Generative Models6 May 2024
- 2024Investigating Self-Supervised Image Denoising with Denaturation2 May 2024
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data20 Mar 2024
- 2024Iterative Learning for Joint Image Denoising and Motion Artifact Correction of 3D Brain MRI13 Mar 2024
- 2024Visual Privacy Auditing with Diffusion Models12 Mar 2024
- 2024PFCM: Poisson flow consistency models for low-dose CT image denoising13 Feb 2024
- 2024Generative AI-Driven Human Digital Twin in IoT-Healthcare: A Comprehensive Survey22 Jan 2024
- 2023DiffCMR: Fast Cardiac MRI Reconstruction with Diffusion Probabilistic Models8 Dec 2023
- 2023A Survey of Emerging Applications of Diffusion Probabilistic Models in MRI19 Nov 2023
- 2023Diffusion-based Radiotherapy Dose Prediction Guided by Inter-slice Aware Structure Encoding6 Nov 2023
- 2023DiffBoost: Enhancing Medical Image Segmentation via Text-Guided Diffusion Model19 Oct 2023
- 2023Correlated and Multi-frequency Diffusion Modeling for Highly Under-sampled MRI Reconstruction2 Sep 2023
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstruction2 Aug 2023
- 2023Generative AI for Medical Imaging: extending the MONAI Framework27 Jul 2023
- 2023GSURE-Based Diffusion Model Training with Corrupted Data22 May 2023
- 2023Solving Inverse Problems with Score-Based Generative Priors learned from Noisy Data2 May 2023
- 2023A Unified Learning Model for Estimating Fiber Orientation Distribution Functions on Heterogeneous Multi-shell Diffusion-weighted MRI29 Mar 2023
- 2023Generative AI for Rapid Diffusion MRI with Improved Image Quality, Reliability and Generalizability10 Mar 2023
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Datacited by 44
- 2023Solving Inverse Problems with Score-Based Generative Priors learned from Noisy Datacited by 40
- 2023GSURE-Based Diffusion Model Training with Corrupted Datacited by 40
- 2024Efficient Diffusion Models: A Comprehensive Survey from Principles to Practicescited by 39
- 2023DiffBoost: Enhancing Medical Image Segmentation via Text-Guided Diffusion Modelcited by 23
- 2023Correlated and Multi-frequency Diffusion Modeling for Highly Under-sampled MRI Reconstructioncited by 14
- 2023Learning Fourier-Constrained Diffusion Bridges for MRI Reconstructioncited by 13
- 2024Replication in Visual Diffusion Models: A Survey and Outlookcited by 11
- 2023A Survey of Emerging Applications of Diffusion Probabilistic Models in MRIcited by 9
- 2024MedDiff-FM: A Diffusion-based Foundation Model for Versatile Medical Image Applicationscited by 7
- 2025Measurement Score-Based Diffusion Modelcited by 7
- 2024When Diffusion MRI Meets Diffusion Model: A Novel Deep Generative Model for Diffusion MRI Generationcited by 6
12 most cited of 28 All 28 (JSON)
- 2026Joint Medical Image Enhancement and Segmentation with Diffusion-based Symbiotic Information Interaction30 Jun 2026
- 2026TensorLDM: A Component-Wise Latent Diffusion Model for Volumetric DTI Reconstruction from Sparse DWIs24 Jun 2026
- 2026Improving 2D Diffusion Models for 3D Medical Imaging with Inter-Slice Consistent Stochasticity4 Feb 2026
- 2025MAN: Latent Diffusion Enhanced Multistage Anti-Noise Network for Efficient and High-Quality Low-Dose CT Image Denoising28 Sep 2025
- 2025Score-based Diffusion Model for Unpaired Virtual Histology Staining29 Jun 2025
- 2025What is Adversarial Training for Diffusion Models?27 May 2025
- 2025Measurement Score-Based Diffusion Model17 May 2025
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Models31 Mar 2025
- 2025MExD: An Expert-Infused Diffusion Model for Whole-Slide Image Classification16 Mar 2025
- 2024Volumetric Conditioning Module to Control Pretrained Diffusion Models for 3D Medical Images29 Oct 2024
- 2024MedDiff-FM: A Diffusion-based Foundation Model for Versatile Medical Image Applications20 Oct 2024
- 2024Efficient Diffusion Models: A Comprehensive Survey from Principles to Practices15 Oct 2024
12 newest of 28 All 28 (JSON)
- 2023Generative AI for Medical Imaging: extending the MONAI Frameworkcited by 68
- 2024Generative AI-Driven Human Digital Twin in IoT-Healthcare: A Comprehensive Surveycited by 11
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Surveycited by 7
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinementcited by 6
- 2025Score-based Self-supervised MRI Denoisingcited by 6
- 2023Diffusion-based Radiotherapy Dose Prediction Guided by Inter-slice Aware Structure Encodingcited by 5
- 2024Field-of-View Extension for Brain Diffusion MRI via Deep Generative Modelscited by 4
- 2024Robust multi-coil MRI reconstruction via self-supervised denoisingcited by 4
- 2023A Unified Learning Model for Estimating Fiber Orientation Distribution Functions on Heterogeneous Multi-shell Diffusion-weighted MRIcited by 2
- 2023Generative AI for Rapid Diffusion MRI with Improved Image Quality, Reliability and Generalizabilitycited by 1
- 2024Iterative Learning for Joint Image Denoising and Motion Artifact Correction of 3D Brain MRIcited by 1
- 2024Multi-Modality Conditioned Variational U-Net for Field-of-View Extension in Brain Diffusion MRIcited by 1
12 most cited of 22 All 22 (JSON)
- 2026Unsupervised Denoising of Diffusion-Weighted Images with Bias and Variance Corrected Noise Modeling22 Feb 2026
- 2026SSPFormer: Self-Supervised Pretrained Transformer for MRI Images19 Jan 2026
- 2025USB: Unified Synthetic Brain Framework for Bidirectional Pathology-Healthy Generation and Editing29 Nov 2025
- 2025MRI Super-Resolution with Deep Learning: A Comprehensive Survey20 Nov 2025
- 2025MID: A Self-supervised Multimodal Iterative Denoising Framework2 Nov 2025
- 2025Enhancing Diffusion-Weighted Images (DWI) for Diffusion MRI: Is it Enough without Non-Diffusion-Weighted B=0 Reference?19 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025Efficient Noise Calculation in Deep Learning-based MRI Reconstructions4 May 2025
- 2025SNRAware: Improved Deep Learning MRI Denoising with SNR Unit Training and G-factor Map Augmentation23 Mar 2025
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinement23 Jan 2025
- 2024Robust multi-coil MRI reconstruction via self-supervised denoising19 Nov 2024
- 2024Equivariant spatio-hemispherical networks for diffusion MRI deconvolution18 Nov 2024
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- 2022Diffusion Models for Medical Image Analysis: A Comprehensive Survey
- 2024Fast-DDPM: Fast Denoising Diffusion Probabilistic Models for Medical Image-to-Image Generation
- 2024Self-Consistent Recursive Diffusion Bridge for Medical Image Translation
- 2026VS-DDPM: Efficient Low-Cost Diffusion Model for Medical Modality Translation
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