Noise2Self: Blind Denoising by Self-Supervision
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Cited by 26 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
We propose a general framework for denoising high-dimensional measurements which requires no prior on the signal, no estimate of the noise, and no clean training data. The only assumption is that the noise exhibits statistical independence across different dimensions of the measurement, while the true signal exhibits some correlation. For a broad class of functions ("J-invariant"), it is then possible to estimate the performance of a denoiser from noisy data alone. This allows us to calibrate J-invariant versions of any parameterised denoising algorithm, from the single hyperparameter of a median filter to the millions of weights of a deep neural network. We demonstrate this on natural image and microscopy data, where we exploit noise independence between pixels, and on single-cell gene expression data, where we exploit independence between detections of individual molecules. This framework generalizes recent work on training neural nets from noisy images and on cross-validation for matrix factorization.
Key facts. Cited by 274 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Jan 2019.
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Citing papers per year: 2020: 1; 2021: 35; 2022: 51; 2023: 62; 2024: 44; 2025: 46; 2026: 35.
274 papers.
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- 2021NeRF in the Dark: High Dynamic Range View Synthesis from Noisy Raw Imagescited by 336
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2024A Survey on Diffusion Models for Inverse Problemscited by 173
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Imagescited by 171
- 2021Noise2Score: Tweedie's Approach to Self-Supervised Image Denoising without Clean Imagescited by 110
- 2023Ambient Diffusion: Learning Clean Distributions from Corrupted Datacited by 108
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2021Equivariant Imaging: Learning Beyond the Range Spacecited by 83
- 2022Blind2Unblind: Self-Supervised Image Denoising with Visible Blind Spotscited by 83
- 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2022C2N: Practical Generative Noise Modeling for Real-World Denoisingcited by 56
38 more
- 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Modelscited by 50
- 2022Dancing under the stars: video denoising in starlightcited by 47
- 2023Neural Degradation Representation Learning for All-In-One Image Restorationcited by 46
- 2022CVF-SID: Cyclic multi-Variate Function for Self-Supervised Image Denoising by Disentangling Noise from Imagecited by 45
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Datacited by 44
- 2025Is Noise Conditioning Necessary for Denoising Generative Models?cited by 42
- 2023Solving Inverse Problems with Score-Based Generative Priors learned from Noisy Datacited by 40
- 2023GSURE-Based Diffusion Model Training with Corrupted Datacited by 40
- 2023LG-BPN: Local and Global Blind-Patch Network for Self-Supervised Real-World Denoisingcited by 37
- 2021IDR: Self-Supervised Image Denoising via Iterative Data Refinementcited by 36
- 2023Spatially Adaptive Self-Supervised Learning for Real-World Image Denoisingcited by 33
- 2023Random Sub-Samples Generation for Self-Supervised Real Image Denoisingcited by 31
- 2023MM-BSN: Self-Supervised Image Denoising for Real-World with Multi-Mask based on Blind-Spot Networkcited by 30
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noisecited by 29
- 2024Transfer CLIP for Generalizable Image Denoisingcited by 29
- 2020Patch2Self: Denoising Diffusion MRI with Self-Supervised Learningcited by 28
- 2021Interpretable Unsupervised Diversity Denoising and Artefact Removalcited by 26
- 2026INTENT: Invariance and Discrimination-aware Noise Mitigation for Robust Composed Image Retrievalcited by 26
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
- 2021FBI-Denoiser: Fast Blind Image Denoiser for Poisson-Gaussian Noisecited by 22
- 2022Self-Supervised Representation Learning via Latent Graph Predictioncited by 22
- 2022Denoising Masked AutoEncoders Help Robust Classificationcited by 21
- 2024An Expectation-Maximization Algorithm for Training Clean Diffusion Models from Corrupted Observationscited by 20
- 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matchingcited by 18
- 2022Learn from Unpaired Data for Image Restoration: A Variational Bayes Approachcited by 18
- 2024How much is a noisy image worth? Data Scaling Laws for Ambient Diffusioncited by 18
- 2021Unsupervised Deep Learning Methods for Biological Image Reconstruction and Enhancementcited by 17
- 2022Noise2NoiseFlow: Realistic Camera Noise Modeling without Clean Imagescited by 17
- 2023Exploring Efficient Asymmetric Blind-Spots for Self-Supervised Denoising in Real-World Scenarioscited 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
- 2023Test-Time Degradation Adaptation for Open-Set Image Restorationcited by 17
- 2021Adaptive Denoising via GainTuningcited by 16
- 2023PUCA: Patch-Unshuffle and Channel Attention for Enhanced Self-Supervised Image Denoisingcited by 16
- 2021Deformed2Self: Self-Supervised Denoising for Dynamic Medical Imagingcited by 15
- 2023Score Priors Guided Deep Variational Inference for Unsupervised Real-World Single Image Denoisingcited by 15
- 2023Scale-Equivariant Imaging: Self-Supervised Learning for Image Super-Resolution and Deblurringcited by 14
- 2022Towards Adversarially Robust Deep Image Denoisingcited by 13
50 most cited of 274 All 274 (JSON)
- 2026A Study of the Limits of Collaborative DCT-Based Image Denoising via Interpretable Neural Networks24 Sep 2026
- 2026Noise2Noise Revisited: Training Pair Distributions Dominate Loss Choice in Self-Supervised Denoising15 Sep 2026
- 2026Physics-Driven Independent Pair Generation for Iterative Self-Supervised Low-Dose CT Denoising1 Sep 2026
- 2026Diffusion Based Unpaired Data Learning for Inverse Problems1 Sep 2026
- 2026A Posterior-Dynamics Framework for Imaging Inverse Problems with Pretrained Diffusion Priors15 Aug 2026
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasets28 Jul 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026Design Choices in Splitting-Based Self-Supervised Sparse-View CT Reconstruction12 Jul 2026
- 2026Self-Supervised Test-Time Tuning for Packet Loss Concealment2 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026Denoising ICF Images with Multiplicative Uniform Noise: A Self-Supervised Study Based on the Log-Domain Noisier2Inverse Framework26 Jun 2026
- 2026Enabling self-supervised learned primal dual with Noise2Inverse25 Jun 2026
38 more
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Nonparametric Deconvolution and Denoising using Simulation Based Inference20 Jun 2026
- 2026CRIS: Cross-Plane Self-Supervised Isotropic Restoration for Anisotropic Volumetric Imaging Across Modalities14 Jun 2026
- 2026Internally Referenced Low-Light Enhancement27 May 2026
- 2026SIMPC: Learning Self-Induced Mirror-Point Consistency for Unsupervised Point Cloud Denoising26 May 2026
- 2026Pyramid Self-Contrastive Learning for Single-shot Test-time Ultrasound Image Denoising12 May 2026
- 2026Deploying Self-Supervised Learning for Real Seismic Data Denoising11 May 2026
- 2026What Time Is It? How Data Geometry Makes Time Conditioning Optional for Flow Matching8 May 2026
- 2026Learning-based Statistical Refinement for Denoising5 May 2026
- 2026INTENT: Invariance and Discrimination-aware Noise Mitigation for Robust Composed Image Retrieval20 Apr 2026
- 2026Self-Supervised Angular Deblurring in Photoacoustic Reconstruction via Noisier2Inverse17 Apr 2026
- 2026SPLIT: Self-supervised Partitioning for Learned Inversion in Nonlinear Tomography17 Apr 2026
- 2026RelativeFlow: Taming Medical Image Denoising Learning with Noisy Reference16 Apr 2026
- 2026Beyond Model Design: Data-Centric Training and Self-Ensemble for Gaussian Color Image Denoising13 Apr 2026
- 2026TM-BSN: Triangular-Masked Blind-Spot Network for Real-World Self-Supervised Image Denoising6 Apr 2026
- 2026Beyond Fixed Inference: Quantitative Flow Matching for Adaptive Image Denoising2 Apr 2026
- 2026Learning to Recorrupt: Noise Distribution Agnostic Self-Supervised Image Denoising26 Mar 2026
- 2026Self-Supervised Uncertainty Estimation For Super-Resolution of Satellite Images14 Mar 2026
- 2026Blind Ultrasound Image Enhancement via Self-Supervised Physics-Guided Degradation Modeling29 Jan 2026
- 2026Progressive Masked Refinement Self-supervised Learning for Low-Dose CT Denoising20 Jan 2026
- 2026SSC-UNet: UNet with Self-Supervised Contrastive Learning for Phonocardiography Noise Reduction7 Jan 2026
- 2026Self-Supervised Learning from Noisy and Incomplete Data6 Jan 2026
- 2026HyDRA: Hybrid Denoising Regularization for Measurement-Only DEQ Training3 Jan 2026
- 2025Nonlinear Noise2Noise for Efficient Monte Carlo Denoiser Training31 Dec 2025
- 2025Next-Scale Prediction: A Self-Supervised Approach for Real-World Image Denoising24 Dec 2025
- 2025SFBD-OMNI: Bridge models for lossy measurement restoration with limited clean samples18 Dec 2025
- 2025DNA-Prior: Unsupervised Denoise Anything via Dual-Domain Prior28 Nov 2025
- 2025Equivariant Sampling for Improving Diffusion Model-based Image Restoration13 Nov 2025
- 2025Locally-Supervised Global Image Restoration3 Nov 2025
- 2025SDPA++: A General Framework for Self-Supervised Denoising with Patch Aggregation19 Oct 2025
- 2025Lightweight Data-Free Denoising for Detail-Preserving Biomedical Image Restoration17 Oct 2025
- 2025PC-UNet: An Enforcing Poisson Statistics U-Net for Positron Emission Tomography Denoising10 Oct 2025
- 2025Adaptive Guided Upsampling for Low-light Image Enhancement2 Oct 2025
- 2025Median2Median: Zero-shot Suppression of Structured Noise in Images2 Oct 2025
- 2025Measuring and Controlling the Spectral Bias for Self-Supervised Image Denoising1 Oct 2025
- 2025Extendable Generalization Self-Supervised Diffusion for Low-Dose CT Reconstruction28 Sep 2025
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoising19 Sep 2025
- 2025Improving Accuracy and Efficiency of Implicit Neural Representations: Making SIREN a WINNER16 Sep 2025
50 newest of 274 All 274 (JSON)
- 2024A Survey on Diffusion Models for Inverse Problemscited by 173
- 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Modelscited by 50
- 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Datacited by 44
- 2025Is Noise Conditioning Necessary for Denoising Generative Models?cited by 42
- 2023Solving Inverse Problems with Score-Based Generative Priors learned from Noisy Datacited by 40
- 2023GSURE-Based Diffusion Model Training with Corrupted Datacited by 40
- 2020Patch2Self: Denoising Diffusion MRI with Self-Supervised Learningcited by 28
- 2024An Expectation-Maximization Algorithm for Training Clean Diffusion Models from Corrupted Observationscited by 20
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensemblingcited by 17
- 2024Zero-Shot Adaptation for Approximate Posterior Sampling of Diffusion Models in Inverse Problemscited by 9
- 2023SVNR: Spatially-variant Noise Removal with Denoising Diffusioncited by 8
- 2025Denoising Score Distillation: From Noisy Diffusion Pretraining to One-Step High-Quality Generationcited by 7
12 most cited of 26 All 26 (JSON)
- 2026A Posterior-Dynamics Framework for Imaging Inverse Problems with Pretrained Diffusion Priors15 Aug 2026
- 2026Noise-Robust Conditional Flow Matching: Generating Clean Samples from Noisy Datasets28 Jul 2026
- 2026What Time Is It? How Data Geometry Makes Time Conditioning Optional for Flow Matching8 May 2026
- 2026RelativeFlow: Taming Medical Image Denoising Learning with Noisy Reference16 Apr 2026
- 2026Beyond Fixed Inference: Quantitative Flow Matching for Adaptive Image Denoising2 Apr 2026
- 2025Equivariant Sampling for Improving Diffusion Model-based Image Restoration13 Nov 2025
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoising19 Sep 2025
- 2025Is Noise Conditioning Necessary? A Unified Theory of Unconditional Graph Diffusion Models28 May 2025
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Models31 Mar 2025
- 2025Denoising Score Distillation: From Noisy Diffusion Pretraining to One-Step High-Quality Generation10 Mar 2025
- 2025Is Noise Conditioning Necessary for Denoising Generative Models?18 Feb 2025
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoising23 Oct 2024
12 newest of 26 All 26 (JSON)
- 2021NeRF in the Dark: High Dynamic Range View Synthesis from Noisy Raw Imagescited by 336
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2021Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Imagescited by 171
- 2021Noise2Score: Tweedie's Approach to Self-Supervised Image Denoising without Clean Imagescited by 110
- 2023Ambient Diffusion: Learning Clean Distributions from Corrupted Datacited by 108
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2021Equivariant Imaging: Learning Beyond the Range Spacecited by 83
- 2022Blind2Unblind: Self-Supervised Image Denoising with Visible Blind Spotscited by 83
- 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2022C2N: Practical Generative Noise Modeling for Real-World Denoisingcited by 56
- 2022Dancing under the stars: video denoising in starlightcited by 47
12 most cited of 248 All 248 (JSON)
- 2026A Study of the Limits of Collaborative DCT-Based Image Denoising via Interpretable Neural Networks24 Sep 2026
- 2026Noise2Noise Revisited: Training Pair Distributions Dominate Loss Choice in Self-Supervised Denoising15 Sep 2026
- 2026Physics-Driven Independent Pair Generation for Iterative Self-Supervised Low-Dose CT Denoising1 Sep 2026
- 2026Diffusion Based Unpaired Data Learning for Inverse Problems1 Sep 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026Design Choices in Splitting-Based Self-Supervised Sparse-View CT Reconstruction12 Jul 2026
- 2026Self-Supervised Test-Time Tuning for Packet Loss Concealment2 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026Denoising ICF Images with Multiplicative Uniform Noise: A Self-Supervised Study Based on the Log-Domain Noisier2Inverse Framework26 Jun 2026
- 2026Enabling self-supervised learned primal dual with Noise2Inverse25 Jun 2026
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Nonparametric Deconvolution and Denoising using Simulation Based Inference20 Jun 2026
12 newest of 248 All 248 (JSON)