Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Images
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Abstract (arXiv)
In the last few years, image denoising has benefited a lot from the fast development of neural networks. However, the requirement of large amounts of noisy-clean image pairs for supervision limits the wide use of these models. Although there have been a few attempts in training an image denoising model with only single noisy images, existing self-supervised denoising approaches suffer from inefficient network training, loss of useful information, or dependence on noise modeling. In this paper, we present a very simple yet effective method named Neighbor2Neighbor to train an effective image denoising model with only noisy images. Firstly, a random neighbor sub-sampler is proposed for the generation of training image pairs. In detail, input and target used to train a network are images sub-sampled from the same noisy image, satisfying the requirement that paired pixels of paired images are neighbors and have very similar appearance with each other. Secondly, a denoising network is trained on sub-sampled training pairs generated in the first stage, with a proposed regularizer as additional loss for better performance. The proposed Neighbor2Neighbor framework is able to enjoy the progress of state-of-the-art supervised denoising networks in network architecture design. Moreover, it avoids heavy dependence on the assumption of the noise distribution. We explain our approach from a theoretical perspective and further validate it through extensive experiments, including synthetic experiments with different noise distributions in sRGB space and real-world experiments on a denoising benchmark dataset in raw-RGB space.
Key facts. Cited by 171 papers in the map (data through 7 Oct 2026). Builds on 19 of its 37 references that are in the map. First posted on arXiv 8 Jan 2021.
Builds on
19 of 37 references.
References · 19
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2016Beyond a Gaussian Denoiser: Residual Learning of Deep CNN for Image Denoisingcited by 1,352
- 2017Deep Image Priorcited by 1,097
- 2018Noise2Noise: Learning Image Restoration without Clean Datacited by 526
- 2017FFDNet: Toward a Fast and Flexible Solution for CNN based Image Denoisingcited by 509
- 2018Noise2Void - Learning Denoising from Single Noisy Imagescited by 359
- 2018Toward Convolutional Blind Denoising of Real Photographscited by 274
- 2019Noise2Self: Blind Denoising by Self-Supervisioncited by 274
- 2017MemNet: A Persistent Memory Network for Image Restorationcited by 244
- 2020CycleISP: Real Image Restoration via Improved Data Synthesiscited by 212
- 2019High-Quality Self-Supervised Deep Image Denoisingcited by 161
7 more
- 2019Noisier2Noise: Learning to Denoise from Unpaired Noisy Datacited by 125
- 2018Neural Nearest Neighbors Networkscited by 98
- 2020Unpaired Learning of Deep Image Denoisingcited by 74
- 2019Probabilistic Noise2Void: Unsupervised Content-Aware Denoisingcited by 51
- 2018Training Deep Learning Based Denoisers without Ground Truth Datacited by 43
- 2017When Image Denoising Meets High-Level Vision Tasks: A Deep Learning Approachcited by 42
- 2018Fully Convolutional Pixel Adaptive Image Denoisercited by 8
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Citing papers per year: 2021: 7; 2022: 27; 2023: 37; 2024: 34; 2025: 39; 2026: 27.
171 papers.
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- 2021Uformer: A General U-Shaped Transformer for Image Restorationcited by 864
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2022Blind2Unblind: Self-Supervised Image Denoising with Visible Blind Spotscited by 83
- 2022MR Image Denoising and Super-Resolution Using Regularized Reverse Diffusioncited by 66
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Modelscited by 50
- 2022CVF-SID: Cyclic multi-Variate Function for Self-Supervised Image Denoising by Disentangling Noise from Imagecited by 45
- 2025Degradation-Aware Feature Perturbation for All-in-One Image Restorationcited by 39
- 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
38 more
- 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
- 2024Transfer CLIP for Generalizable Image Denoisingcited by 29
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
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- 2022An Annotation-free Restoration Network for Cataractous Fundus Imagescited by 20
- 2023DarkVisionNet: Low-Light Imaging via RGB-NIR Fusion with Deep Inconsistency Priorcited by 19
- 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matchingcited by 18
- 2022Self-Supervised Image Restoration with Blurry and Noisy Pairscited by 17
- 2023Exploring Efficient Asymmetric Blind-Spots for Self-Supervised Denoising in Real-World Scenarioscited by 17
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Reviewcited by 17
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- 2023Score Priors Guided Deep Variational Inference for Unsupervised Real-World Single Image Denoisingcited by 15
- 2024From Chaos to Clarity: 3DGS in the Darkcited by 15
- 2024SMAFormer: Synergistic Multi-Attention Transformer for Medical Image Segmentationcited by 14
- 2023Self-Supervised Image Denoising for Real-World Images with Context-aware Transformercited by 13
- 2024Generalized Recorrupted-to-Recorrupted: Self-Supervised Learning Beyond Gaussian Noisecited by 13
- 2023Self-supervised Image Denoising with Downsampled Invariance Loss and Conditional Blind-Spot Networkcited by 12
- 2024Masked and Shuffled Blind Spot Denoising for Real-World Imagescited by 12
- 2024LED: A Large-scale Real-world Paired Dataset for Event Camera Denoisingcited by 12
- 2025IDF: Iterative Dynamic Filtering Networks for Generalizable Image Denoisingcited by 12
- 2024DenoMamba: A fused state-space model for low-dose CT denoisingcited by 11
- 2023A Generic Fundus Image Enhancement Network Boosted by Frequency Self-supervised Representation Learningcited by 10
- 2024LAN: Learning to Adapt Noise for Image Denoisingcited by 10
- 2024Rethinking Transformer-Based Blind-Spot Network for Self-Supervised Image Denoisingcited by 9
- 2024Denoising as Adaptation: Noise-Space Domain Adaptation for Image Restorationcited by 9
- 2025Speckle2Self: Self-Supervised Ultrasound Speckle Reduction Without Clean Datacited by 9
- 2023RViDeformer: Efficient Raw Video Denoising Transformer with a Larger Benchmark Datasetcited by 8
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- 2023Recurrent Self-Supervised Video Denoising with Denser Receptive Fieldcited by 8
- 2023A Comparison of Image Denoising Methodscited by 7
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- 2024stMCDI: Masked Conditional Diffusion Model with Graph Neural Network for Spatial Transcriptomics Data Imputationcited by 6
- 2024Asymmetric Mask Scheme for Self-Supervised Real Image Denoisingcited by 6
- 2024Positive2Negative: Breaking the Information-Lossy Barrier in Self-Supervised Single Image Denoisingcited by 6
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinementcited by 6
- 2025Score-based Self-supervised MRI Denoisingcited by 6
50 most cited of 171 All 171 (JSON)
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- 2026Physics-Driven Independent Pair Generation for Iterative Self-Supervised Low-Dose CT Denoising1 Sep 2026
- 2026DPC-Net: Dual-Prior Collaborative Network for All-in-One Image Restoration20 Aug 2026
- 2026QuReC: All-in-One Image Restoration with Query-Specific Guidance and Local-Global Response Calibration16 Jul 2026
- 2026Unpaired Joint Distribution Modeling via Multi-Scale Image Representations9 Jul 2026
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Poisson2Gaussian: Noise Gaussianization to Enhance Image Denoising22 Jun 2026
- 2026ShuffleFlow: Scalable Posterior Inference for Bayesian Inverse Imaging19 Jun 2026
- 2026Physics-Driven Zero-Shot MRI Reconstruction with Non-local Image Priors13 Jun 2026
- 2026Internally Referenced Low-Light Enhancement27 May 2026
- 2026SIMPC: Learning Self-Induced Mirror-Point Consistency for Unsupervised Point Cloud Denoising26 May 2026
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- 2026FrequencyCT: Frequency Domain Self-supervised Low-dose CT Denoising11 May 2026
- 2026Enabling Unsupervised Training of Deep EEG Denoisers With Intelligent Partitioning7 May 2026
- 2026Neighbor2Inverse: Self-Supervised Denoising for Low-Dose Region-of-Interest Phase Contrast CT1 May 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
- 2026Frames2Residual: Spatiotemporal Decoupling for Self-Supervised Video Denoising11 Mar 2026
- 2026SLER-IR: Spherical Layer-wise Expert Routing for All-in-One Image Restoration6 Mar 2026
- 2026Perspective-Equivariant Fine-tuning for Multispectral Demosaicing without Ground Truth2 Mar 2026
- 2026SCOUT: Fast Spectral CT Imaging in Ultra LOw-data Regimes via PseUdo-label GeneraTion28 Feb 2026
- 2026Progressive Masked Refinement Self-supervised Learning for Low-Dose CT Denoising20 Jan 2026
- 2026Self-Supervised Learning from Noisy and Incomplete Data6 Jan 2026
- 2025Next-Scale Prediction: A Self-Supervised Approach for Real-World Image Denoising24 Dec 2025
- 2025CARD: Correlation Aware Restoration with Diffusion4 Dec 2025
- 2025HBFormer: A Hybrid-Bridge Transformer for Microtumor and Miniature Organ Segmentation3 Dec 2025
- 2025LoopExpose: An Unsupervised Framework for Arbitrary-Length Exposure Correction8 Nov 2025
- 2025MID: A Self-supervised Multimodal Iterative Denoising Framework2 Nov 2025
- 2025U-CAN: Unsupervised Point Cloud Denoising with Consistency-Aware Noise2Noise Matching29 Oct 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
- 2025Zero-Shot CFC: Fast Real-World Image Denoising based on Cross-Frequency Consistency14 Oct 2025
- 2025Adaptive Guided Upsampling for Low-light Image Enhancement2 Oct 2025
- 2025Median2Median: Zero-shot Suppression of Structured Noise in Images2 Oct 2025
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoising19 Sep 2025
- 2025QWD-GAN: Quality-aware Wavelet-driven GAN for Unsupervised Medical Microscopy Images Denoising19 Sep 2025
- 2025IDF: Iterative Dynamic Filtering Networks for Generalizable Image Denoising27 Aug 2025
- 2025TIR-Diffusion: Diffusion-based Thermal Infrared Image Denoising via Latent and Wavelet Domain Optimization30 Jul 2025
- 2025DepthDark: Robust Monocular Depth Estimation for Low-Light Environments24 Jul 2025
- 2025NoiseSDF2NoiseSDF: Learning Clean Neural Fields from Noisy Supervision18 Jul 2025
- 2025Unsupervised Methods for Video Quality Improvement: A Survey of Restoration and Enhancement Techniques11 Jul 2025
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- 2025An Improved U-Net Model for Offline handwriting signature denoising1 Jul 2025
- 2025Lightweight Physics-Aware Zero-Shot Ultrasound Plane-Wave Denoising26 Jun 2025
- 2025YOND: Practical Blind Raw Image Denoising Free from Camera-Specific Data Dependency4 Jun 2025
- 2025Image Restoration Learning via Noisy Supervision in the Fourier Domain31 May 2025
50 newest of 171 All 171 (JSON)
- 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Modelscited by 50
- 2024Denoising as Adaptation: Noise-Space Domain Adaptation for Image Restorationcited by 9
- 2023SVNR: Spatially-variant Noise Removal with Denoising Diffusioncited by 8
- 2024stMCDI: Masked Conditional Diffusion Model with Graph Neural Network for Spatial Transcriptomics Data Imputationcited by 6
- 2025Prompt-SID: Learning Structural Representation Prompt via Latent Diffusion for Single-Image Denoisingcited by 5
- 2022Complex-valued Retrievals From Noisy Images Using Diffusion Modelscited by 3
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Modelscited by 3
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoisingcited by 2
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoisingcited by 0
- 2025CARD: Correlation Aware Restoration with Diffusioncited by 0
- 2026Beyond Fixed Inference: Quantitative Flow Matching for Adaptive Image Denoisingcited by 0
- 2026Beyond Fixed Inference: Quantitative Flow Matching for Adaptive Image Denoising2 Apr 2026
- 2025CARD: Correlation Aware Restoration with Diffusion4 Dec 2025
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoising19 Sep 2025
- 2025DiffDenoise: Self-Supervised Medical Image Denoising with Conditional Diffusion Models31 Mar 2025
- 2025Prompt-SID: Learning Structural Representation Prompt via Latent Diffusion for Single-Image Denoising10 Feb 2025
- 2024Diffusion Priors for Variational Likelihood Estimation and Image Denoising23 Oct 2024
- 2024Denoising as Adaptation: Noise-Space Domain Adaptation for Image Restoration26 Jun 2024
- 2024stMCDI: Masked Conditional Diffusion Model with Graph Neural Network for Spatial Transcriptomics Data Imputation16 Mar 2024
- 2023SVNR: Spatially-variant Noise Removal with Denoising Diffusion28 Jun 2023
- 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Models6 Feb 2023
- 2022Complex-valued Retrievals From Noisy Images Using Diffusion Models6 Dec 2022
- 2021Uformer: A General U-Shaped Transformer for Image Restorationcited by 864
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2022Blind2Unblind: Self-Supervised Image Denoising with Visible Blind Spotscited by 83
- 2022MR Image Denoising and Super-Resolution Using Regularized Reverse Diffusioncited by 66
- 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
- 2022CVF-SID: Cyclic multi-Variate Function for Self-Supervised Image Denoising by Disentangling Noise from Imagecited by 45
- 2025Degradation-Aware Feature Perturbation for All-in-One Image Restorationcited by 39
- 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
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- 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
- 2026DPC-Net: Dual-Prior Collaborative Network for All-in-One Image Restoration20 Aug 2026
- 2026QuReC: All-in-One Image Restoration with Query-Specific Guidance and Local-Global Response Calibration16 Jul 2026
- 2026Unpaired Joint Distribution Modeling via Multi-Scale Image Representations9 Jul 2026
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Poisson2Gaussian: Noise Gaussianization to Enhance Image Denoising22 Jun 2026
- 2026ShuffleFlow: Scalable Posterior Inference for Bayesian Inverse Imaging19 Jun 2026
- 2026Physics-Driven Zero-Shot MRI Reconstruction with Non-local Image Priors13 Jun 2026
- 2026Internally Referenced Low-Light Enhancement27 May 2026
- 2026SIMPC: Learning Self-Induced Mirror-Point Consistency for Unsupervised Point Cloud Denoising26 May 2026
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