Training Deep Learning Based Denoisers without Ground Truth Data
Not on the map. Why?
Abstract (arXiv)
Recently developed deep-learning-based denoisers often outperform state-of-the-art conventional denoisers such as the BM3D. They are typically trained to minimize the mean squared error (MSE) between the output image of a deep neural network (DNN) and a ground truth image. Thus, it is important for deep-learning-based denoisers to use high quality noiseless ground truth data for high performance. However, it is often challenging or even infeasible to obtain noiseless images in some applications. Here, we propose a method based on Stein's unbiased risk estimator (SURE) for training DNN denoisers based only on the use of noisy images in the training data with Gaussian noise. We demonstrate that our SURE-based method, without the use of ground truth data, is able to train DNN denoisers to yield performances close to those networks trained with ground truth for both grayscale and color images. We also propose a SURE-based refining method with a noisy test image for further performance improvement. Our quick refining method outperformed conventional BM3D, deep image prior, and often the networks trained with ground truth. Potential extension of our SURE-based methods to Poisson noise model was also investigated.
Key facts. Cited by 43 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Mar 2018.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 8; 2022: 8; 2023: 9; 2024: 8; 2025: 5; 2026: 5.
43 papers.
Sort:
By area:
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Imagescited by 171
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2021Robust Equivariant Imaging: a fully unsupervised framework for learning to image from noisy and partial measurementscited by 56
- 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
- 2021Rethinking Deep Image Prior for Denoisingcited by 38
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
- 2021FBI-Denoiser: Fast Blind Image Denoiser for Poisson-Gaussian Noisecited by 22
- 2022Self-Supervised Image Restoration with Blurry and Noisy Pairscited by 17
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensemblingcited by 17
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Reviewcited by 17
31 more
- 2021Adaptive Denoising via GainTuningcited by 16
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
- 2021Deformation-Compensated Learning for Image Reconstruction without Ground Truthcited by 9
- 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
- 2021Image Restoration by Deep Projected GSUREcited by 8
- 2023Self-Supervised Scalable Deep Compressed Sensingcited by 8
- 2023A Comparison of Image Denoising Methodscited by 7
- 2025Score-based Self-supervised MRI Denoisingcited by 6
- 2022Patch-Craft Self-Supervised Training for Correlated Image Denoisingcited by 5
- 2024Robust multi-coil MRI reconstruction via self-supervised denoisingcited by 4
- 2022Evaluating Unsupervised Denoising Requires Unsupervised Metricscited by 3
- 2025Normalization-equivariant Diffusion Models: Learning Posterior Samplers From Noisy And Partial Measurementscited by 3
- 2022Deep Variation Prior: Joint Image Denoising and Noise Variance Estimation without Clean Datacited by 2
- 2025DeCompress: Denoising via Neural Compressioncited by 2
- 2022A Field of Experts Prior for Adapting Neural Networks at Test Timecited by 1
- 2022Self-supervised regression learning using domain knowledge: Applications to improving self-supervised denoising in imagingcited by 1
- 2024On normalization-equivariance properties of supervised and unsupervised denoising methods: a surveycited by 1
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic frameworkcited by 1
- 2022Decay2Distill: Leveraging spatial perturbation and regularization for self-supervised image denoisingcited by 0
- 2022Self-supervised training of deep denoisers in multi-coil MRI considering noise correlationscited by 0
- 2024Low-Trace Adaptation of Zero-shot Self-supervised Blind Image Denoisingcited by 0
- 2024Generalized Robust Fundus Photography-based Vision Loss Estimation for High Myopiacited by 0
- 2024Adaptive Extensions of Unbiased Risk Estimators for Unsupervised Magnetic Resonance Image Denoisingcited by 0
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoisingcited by 0
- 2024A Novel Score-CAM based Denoiser for Spectrographic Signature Extraction without Ground Truthcited by 0
- 2025Image Restoration Learning via Noisy Supervision in the Fourier Domaincited by 0
- 2026Self-Supervised Uncertainty Estimation For Super-Resolution of Satellite Imagescited by 0
- 2026Learning-based Statistical Refinement for Denoisingcited by 0
- 2026Nonparametric Deconvolution and Denoising using Simulation Based Inferencecited by 0
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasetscited by 0
- 2026Denoising-Aware Inversion: Revealing Privacy Risks in Noise-Protected Text Embeddingscited by 0
- 2026Denoising-Aware Inversion: Revealing Privacy Risks in Noise-Protected Text Embeddings19 Aug 2026
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasets28 Jul 2026
- 2026Nonparametric Deconvolution and Denoising using Simulation Based Inference20 Jun 2026
- 2026Learning-based Statistical Refinement for Denoising5 May 2026
- 2026Self-Supervised Uncertainty Estimation For Super-Resolution of Satellite Images14 Mar 2026
- 2025Normalization-equivariant Diffusion Models: Learning Posterior Samplers From Noisy And Partial Measurements13 Oct 2025
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic framework15 Jun 2025
- 2025Image Restoration Learning via Noisy Supervision in the Fourier Domain31 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025DeCompress: Denoising via Neural Compression27 Mar 2025
- 2024Robust multi-coil MRI reconstruction via self-supervised denoising19 Nov 2024
- 2024A Novel Score-CAM based Denoiser for Spectrographic Signature Extraction without Ground Truth28 Oct 2024
31 more
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoising23 Oct 2024
- 2024Adaptive Extensions of Unbiased Risk Estimators for Unsupervised Magnetic Resonance Image Denoising22 Jul 2024
- 2024Generalized Robust Fundus Photography-based Vision Loss Estimation for High Myopia4 Jul 2024
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data20 Mar 2024
- 2024Low-Trace Adaptation of Zero-shot Self-supervised Blind Image Denoising19 Mar 2024
- 2024On normalization-equivariance properties of supervised and unsupervised denoising methods: a survey23 Feb 2024
- 2023Deep Internal Learning: Deep Learning from a Single Input12 Dec 2023
- 2023Self-Supervised Scalable Deep Compressed Sensing26 Aug 2023
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Review1 Aug 2023
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensembling8 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
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Prior22 Apr 2023
- 2023A Comparison of Image Denoising Methods18 Apr 2023
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Data20 Mar 2023
- 2022Patch-Craft Self-Supervised Training for Correlated Image Denoising17 Nov 2022
- 2022Self-Supervised Image Restoration with Blurry and Noisy Pairs14 Nov 2022
- 2022Evaluating Unsupervised Denoising Requires Unsupervised Metrics11 Oct 2022
- 2022Deep Variation Prior: Joint Image Denoising and Noise Variance Estimation without Clean Data19 Sep 2022
- 2022Self-supervised training of deep denoisers in multi-coil MRI considering noise correlations16 Aug 2022
- 2022Decay2Distill: Leveraging spatial perturbation and regularization for self-supervised image denoising3 Aug 2022
- 2022Self-supervised regression learning using domain knowledge: Applications to improving self-supervised denoising in imaging10 May 2022
- 2022A Field of Experts Prior for Adapting Neural Networks at Test Time10 Feb 2022
- 2021Robust Equivariant Imaging: a fully unsupervised framework for learning to image from noisy and partial measurements25 Nov 2021
- 2021Rethinking Deep Image Prior for Denoising29 Aug 2021
- 2021Optimal Transport for Unsupervised Denoising Learning4 Aug 2021
- 2021Adaptive Denoising via GainTuning27 Jul 2021
- 2021Deformation-Compensated Learning for Image Reconstruction without Ground Truth12 Jul 2021
- 2021FBI-Denoiser: Fast Blind Image Denoiser for Poisson-Gaussian Noise23 May 2021
- 2021Image Restoration by Deep Projected GSURE4 Feb 2021
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Images8 Jan 2021
- 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
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensemblingcited by 17
- 2025Normalization-equivariant Diffusion Models: Learning Posterior Samplers From Noisy And Partial Measurementscited by 3
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoisingcited by 0
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasetscited by 0
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasets28 Jul 2026
- 2025Normalization-equivariant Diffusion Models: Learning Posterior Samplers From Noisy And Partial Measurements13 Oct 2025
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoising23 Oct 2024
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data20 Mar 2024
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensembling8 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
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Imagescited by 171
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2021Robust Equivariant Imaging: a fully unsupervised framework for learning to image from noisy and partial measurementscited by 56
- 2021Rethinking Deep Image Prior for Denoisingcited by 38
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
- 2021FBI-Denoiser: Fast Blind Image Denoiser for Poisson-Gaussian Noisecited by 22
- 2022Self-Supervised Image Restoration with Blurry and Noisy Pairscited by 17
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Reviewcited by 17
- 2021Adaptive Denoising via GainTuningcited by 16
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
- 2021Deformation-Compensated Learning for Image Reconstruction without Ground Truthcited by 9
- 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
12 most cited of 36 All 36 (JSON)
- 2026Denoising-Aware Inversion: Revealing Privacy Risks in Noise-Protected Text Embeddings19 Aug 2026
- 2026Nonparametric Deconvolution and Denoising using Simulation Based Inference20 Jun 2026
- 2026Learning-based Statistical Refinement for Denoising5 May 2026
- 2026Self-Supervised Uncertainty Estimation For Super-Resolution of Satellite Images14 Mar 2026
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic framework15 Jun 2025
- 2025Image Restoration Learning via Noisy Supervision in the Fourier Domain31 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025DeCompress: Denoising via Neural Compression27 Mar 2025
- 2024Robust multi-coil MRI reconstruction via self-supervised denoising19 Nov 2024
- 2024A Novel Score-CAM based Denoiser for Spectrographic Signature Extraction without Ground Truth28 Oct 2024
- 2024Adaptive Extensions of Unbiased Risk Estimators for Unsupervised Magnetic Resonance Image Denoising22 Jul 2024
- 2024Generalized Robust Fundus Photography-based Vision Loss Estimation for High Myopia4 Jul 2024
12 newest of 36 All 36 (JSON)