mlsanityData to 7 Oct 2026

Neighbor2Neighbor: Self-Supervised Denoising from Single Noisy Images

arXiv 2101.02824 ↗First posted 8 Jan 2021eess.IV cs.CVcited by 171

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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

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
  3. 2016Beyond a Gaussian Denoiser: Residual Learning of Deep CNN for Image Denoisingcited by 1,352
  4. 2017Deep Image Priorcited by 1,097
  5. 2018Noise2Noise: Learning Image Restoration without Clean Datacited by 526
  6. 2017FFDNet: Toward a Fast and Flexible Solution for CNN based Image Denoisingcited by 509
  7. 2018Noise2Void - Learning Denoising from Single Noisy Imagescited by 359
  8. 2018Toward Convolutional Blind Denoising of Real Photographscited by 274
  9. 2019Noise2Self: Blind Denoising by Self-Supervisioncited by 274
  10. 2017MemNet: A Persistent Memory Network for Image Restorationcited by 244
  11. 2020CycleISP: Real Image Restoration via Improved Data Synthesiscited by 212
  12. 2019High-Quality Self-Supervised Deep Image Denoisingcited by 161
7 more
  1. 2019Noisier2Noise: Learning to Denoise from Unpaired Noisy Datacited by 125
  2. 2018Neural Nearest Neighbors Networkscited by 98
  3. 2020Unpaired Learning of Deep Image Denoisingcited by 74
  4. 2019Probabilistic Noise2Void: Unsupervised Content-Aware Denoisingcited by 51
  5. 2018Training Deep Learning Based Denoisers without Ground Truth Datacited by 43
  6. 2017When Image Denoising Meets High-Level Vision Tasks: A Deep Learning Approachcited by 42
  7. 2018Fully Convolutional Pixel Adaptive Image Denoisercited by 8

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 7; 2022: 27; 2023: 37; 2024: 34; 2025: 39; 2026: 27.

171 papers.

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  1. 2021Uformer: A General U-Shaped Transformer for Image Restorationcited by 864
  2. 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
  3. 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
  4. 2022Blind2Unblind: Self-Supervised Image Denoising with Visible Blind Spotscited by 83
  5. 2022MR Image Denoising and Super-Resolution Using Regularized Reverse Diffusioncited by 66
  6. 2023Zero-Shot Noise2Noise: Efficient Image Denoising without any Datacited by 59
  7. 2023DDM2: Self-Supervised Diffusion MRI Denoising with Generative Diffusion Modelscited by 50
  8. 2022CVF-SID: Cyclic multi-Variate Function for Self-Supervised Image Denoising by Disentangling Noise from Imagecited by 45
  9. 2025Degradation-Aware Feature Perturbation for All-in-One Image Restorationcited by 39
  10. 2023LG-BPN: Local and Global Blind-Patch Network for Self-Supervised Real-World Denoisingcited by 37
  11. 2021IDR: Self-Supervised Image Denoising via Iterative Data Refinementcited by 36
  12. 2023Spatially Adaptive Self-Supervised Learning for Real-World Image Denoisingcited by 33
38 more
  1. 2023Random Sub-Samples Generation for Self-Supervised Real Image Denoisingcited by 31
  2. 2023MM-BSN: Self-Supervised Image Denoising for Real-World with Multi-Mask based on Blind-Spot Networkcited by 30
  3. 2024Transfer CLIP for Generalizable Image Denoisingcited by 29
  4. 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
  5. 2022When the Sun Goes Down: Repairing Photometric Losses for All-Day Depth Estimationcited by 24
  6. 2022An Annotation-free Restoration Network for Cataractous Fundus Imagescited by 20
  7. 2023DarkVisionNet: Low-Light Imaging via RGB-NIR Fusion with Deep Inconsistency Priorcited by 19
  8. 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matchingcited by 18
  9. 2022Self-Supervised Image Restoration with Blurry and Noisy Pairscited by 17
  10. 2023Exploring Efficient Asymmetric Blind-Spots for Self-Supervised Denoising in Real-World Scenarioscited by 17
  11. 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Reviewcited by 17
  12. 2022Structure-consistent Restoration Network for Cataract Fundus Image Enhancementcited by 16
  13. 2023Score Priors Guided Deep Variational Inference for Unsupervised Real-World Single Image Denoisingcited by 15
  14. 2024From Chaos to Clarity: 3DGS in the Darkcited by 15
  15. 2024SMAFormer: Synergistic Multi-Attention Transformer for Medical Image Segmentationcited by 14
  16. 2023Self-Supervised Image Denoising for Real-World Images with Context-aware Transformercited by 13
  17. 2024Generalized Recorrupted-to-Recorrupted: Self-Supervised Learning Beyond Gaussian Noisecited by 13
  18. 2023Self-supervised Image Denoising with Downsampled Invariance Loss and Conditional Blind-Spot Networkcited by 12
  19. 2024Masked and Shuffled Blind Spot Denoising for Real-World Imagescited by 12
  20. 2024LED: A Large-scale Real-world Paired Dataset for Event Camera Denoisingcited by 12
  21. 2025IDF: Iterative Dynamic Filtering Networks for Generalizable Image Denoisingcited by 12
  22. 2024DenoMamba: A fused state-space model for low-dose CT denoisingcited by 11
  23. 2023A Generic Fundus Image Enhancement Network Boosted by Frequency Self-supervised Representation Learningcited by 10
  24. 2024LAN: Learning to Adapt Noise for Image Denoisingcited by 10
  25. 2024Rethinking Transformer-Based Blind-Spot Network for Self-Supervised Image Denoisingcited by 9
  26. 2024Denoising as Adaptation: Noise-Space Domain Adaptation for Image Restorationcited by 9
  27. 2025Speckle2Self: Self-Supervised Ultrasound Speckle Reduction Without Clean Datacited by 9
  28. 2023RViDeformer: Efficient Raw Video Denoising Transformer with a Larger Benchmark Datasetcited by 8
  29. 2023Analyzing the Sample Complexity of Self-Supervised Image Reconstruction Methodscited by 8
  30. 2023SVNR: Spatially-variant Noise Removal with Denoising Diffusioncited by 8
  31. 2023Recurrent Self-Supervised Video Denoising with Denser Receptive Fieldcited by 8
  32. 2023A Comparison of Image Denoising Methodscited by 7
  33. 2023Efficient Unified Demosaicing for Bayer and Non-Bayer Patterned Image Sensorscited by 6
  34. 2024stMCDI: Masked Conditional Diffusion Model with Graph Neural Network for Spatial Transcriptomics Data Imputationcited by 6
  35. 2024Asymmetric Mask Scheme for Self-Supervised Real Image Denoisingcited by 6
  36. 2024Positive2Negative: Breaking the Information-Lossy Barrier in Self-Supervised Single Image Denoisingcited by 6
  37. 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinementcited by 6
  38. 2025Score-based Self-supervised MRI Denoisingcited by 6

50 most cited of 171 All 171 (JSON)