Noise2Same: Optimizing A Self-Supervised Bound for Image Denoising
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Abstract (arXiv)
Self-supervised frameworks that learn denoising models with merely individual noisy images have shown strong capability and promising performance in various image denoising tasks. Existing self-supervised denoising frameworks are mostly built upon the same theoretical foundation, where the denoising models are required to be J-invariant. However, our analyses indicate that the current theory and the J-invariance may lead to denoising models with reduced performance. In this work, we introduce Noise2Same, a novel self-supervised denoising framework. In Noise2Same, a new self-supervised loss is proposed by deriving a self-supervised upper bound of the typical supervised loss. In particular, Noise2Same requires neither J-invariance nor extra information about the noise model and can be used in a wider range of denoising applications. We analyze our proposed Noise2Same both theoretically and experimentally. The experimental results show that our Noise2Same remarkably outperforms previous self-supervised denoising methods in terms of denoising performance and training efficiency. Our code is available at https://github.com/divelab/Noise2Same.
Key facts. Cited by 56 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Oct 2020.
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Citing papers per year: 2021: 12; 2022: 13; 2023: 12; 2024: 7; 2025: 8; 2026: 4.
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- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2021Noise2Score: Tweedie's Approach to Self-Supervised Image Denoising without Clean Imagescited by 110
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2023Random Sub-Samples Generation for Self-Supervised Real Image Denoisingcited by 31
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noisecited by 29
- 2021Interpretable Unsupervised Diversity Denoising and Artefact Removalcited by 26
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
- 2022Self-Supervised Representation Learning via Latent Graph Predictioncited by 22
- 2022Denoising Masked AutoEncoders Help Robust Classificationcited by 21
- 2021As if by magic: self-supervised training of deep despeckling networks with MERLINcited by 18
- 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matchingcited by 18
38 more
- 2021Unsupervised Deep Learning Methods for Biological Image Reconstruction and Enhancementcited by 17
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Reviewcited by 17
- 2021Adaptive Denoising via GainTuningcited by 16
- 2023PUCA: Patch-Unshuffle and Channel Attention for Enhanced Self-Supervised Image Denoisingcited by 16
- 2022Self-supervised Learning for Sonar Image Classificationcited by 12
- 2022RCRN: Real-world Character Image Restoration Network via Skeleton Extractioncited by 12
- 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
- 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
- 2021Group Contrastive Self-Supervised Learning on Graphscited by 5
- 2022Learning Task-Oriented Flows to Mutually Guide Feature Alignment in Synthesized and Real Video Denoisingcited by 5
- 2022Patch-Craft Self-Supervised Training for Correlated Image Denoisingcited by 5
- 2023GeoTMI:Predicting quantum chemical property with easy-to-obtain geometry via positional denoisingcited by 5
- 2023Token Boosting for Robust Self-Supervised Visual Transformer Pre-trainingcited by 4
- 2022Evaluating Unsupervised Denoising Requires Unsupervised Metricscited by 3
- 2023Single-Shot Plug-and-Play Methods for Inverse Problemscited by 3
- 2024Masked Pre-training Enables Universal Zero-shot Denoisercited by 3
- 2025Self-Supervised Learning for Image Segmentation: A Comprehensive Surveycited by 3
- 2023SwinIA: Self-Supervised Blind-Spot Image Denoising without Convolutionscited by 2
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoisingcited by 2
- 2021Reinforcement Learning of Self Enhancing Camera Image and Signal Processingcited by 1
- 2022Self-supervised regression learning using domain knowledge: Applications to improving self-supervised denoising in imagingcited by 1
- 2022Self-supervised Physics-based Denoising for Computed Tomographycited by 1
- 2024FM2S: Towards Spatially-Correlated Noise Modeling in Zero-Shot Fluorescence Microscopy Image Denoisingcited by 1
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic frameworkcited by 1
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoisingcited by 1
- 2021Deep Contrastive Patch-Based Subspace Learning for Camera Image Signal Processingcited by 0
- 2021Window-Level is a Strong Denoising Surrogatecited by 0
- 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
- 2023Generalizable Denoising of Microscopy Images using Generative Adversarial Networks and Contrastive Learningcited by 0
- 2023Self-Supervised Single-Image Deconvolution with Siamese Neural Networkscited by 0
- 2023Learning to Generate Parameters of ConvNets for Unseen Image Datacited by 0
- 2024Zero-Shot Image Denoising for High-Resolution Electron Microscopycited by 0
50 most cited of 56 All 56 (JSON)
- 2026Noise2Noise Revisited: Training Pair Distributions Dominate Loss Choice in Self-Supervised Denoising15 Sep 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Deploying Self-Supervised Learning for Real Seismic Data Denoising11 May 2026
- 2025Blind-Spot Guided Diffusion for Self-supervised Real-World Denoising19 Sep 2025
- 2025A Graph Laplacian Eigenvector-based Pre-training Method for Graph Neural Networks2 Sep 2025
- 2025NoiseSDF2NoiseSDF: Learning Clean Neural Fields from Noisy Supervision18 Jul 2025
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic framework15 Jun 2025
- 2025Self-Supervised Learning for Image Segmentation: A Comprehensive Survey19 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025Noise2Score3D:Unsupervised Tweedie's Approach for Point Cloud Denoising24 Feb 2025
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinement23 Jan 2025
38 more
- 2024Positive2Negative: Breaking the Information-Lossy Barrier in Self-Supervised Single Image Denoising21 Dec 2024
- 2024FM2S: Towards Spatially-Correlated Noise Modeling in Zero-Shot Fluorescence Microscopy Image Denoising13 Dec 2024
- 2024Asymmetric Mask Scheme for Self-Supervised Real Image Denoising9 Jul 2024
- 2024Zero-Shot Image Denoising for High-Resolution Electron Microscopy20 Jun 2024
- 2024Masked and Shuffled Blind Spot Denoising for Real-World Images15 Apr 2024
- 2024stMCDI: Masked Conditional Diffusion Model with Graph Neural Network for Spatial Transcriptomics Data Imputation16 Mar 2024
- 2024Masked Pre-training Enables Universal Zero-shot Denoiser26 Jan 2024
- 2023Single-Shot Plug-and-Play Methods for Inverse Problems22 Nov 2023
- 2023Learning to Generate Parameters of ConvNets for Unseen Image Data18 Oct 2023
- 2023PUCA: Patch-Unshuffle and Channel Attention for Enhanced Self-Supervised Image Denoising16 Oct 2023
- 2023Self-Supervised Single-Image Deconvolution with Siamese Neural Networks18 Aug 2023
- 2023Unleashing the Power of Self-Supervised Image Denoising: A Comprehensive Review1 Aug 2023
- 2023Random Sub-Samples Generation for Self-Supervised Real Image Denoising31 Jul 2023
- 2023SwinIA: Self-Supervised Blind-Spot Image Denoising without Convolutions9 May 2023
- 2023Self-supervised Image Denoising with Downsampled Invariance Loss and Conditional Blind-Spot Network19 Apr 2023
- 2023Token Boosting for Robust Self-Supervised Visual Transformer Pre-training9 Apr 2023
- 2023GeoTMI:Predicting quantum chemical property with easy-to-obtain geometry via positional denoising28 Mar 2023
- 2023Generalizable Denoising of Microscopy Images using Generative Adversarial Networks and Contrastive Learning27 Mar 2023
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trends13 Jan 2023
- 2022Patch-Craft Self-Supervised Training for Correlated Image Denoising17 Nov 2022
- 2022Self-supervised Physics-based Denoising for Computed Tomography1 Nov 2022
- 2022Evaluating Unsupervised Denoising Requires Unsupervised Metrics11 Oct 2022
- 2022Denoising Masked AutoEncoders Help Robust Classification10 Oct 2022
- 2022Learning Task-Oriented Flows to Mutually Guide Feature Alignment in Synthesized and Real Video Denoising25 Aug 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
- 2022RCRN: Real-world Character Image Restoration Network via Skeleton Extraction16 Jul 2022
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noise20 May 2022
- 2022Self-supervised regression learning using domain knowledge: Applications to improving self-supervised denoising in imaging10 May 2022
- 2022Self-supervised Learning for Sonar Image Classification20 Apr 2022
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Network22 Mar 2022
- 2022Self-Supervised Representation Learning via Latent Graph Prediction16 Feb 2022
- 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matching5 Dec 2021
- 2021Reinforcement Learning of Self Enhancing Camera Image and Signal Processing15 Nov 2021
- 2021As if by magic: self-supervised training of deep despeckling networks with MERLIN25 Oct 2021
- 2021Optimal Transport for Unsupervised Denoising Learning4 Aug 2021
- 2021Adaptive Denoising via GainTuning27 Jul 2021
- 2021Group Contrastive Self-Supervised Learning on Graphs20 Jul 2021
50 newest of 56 All 56 (JSON)
- 2023A Survey on Self-supervised Learning: Algorithms, Applications, and Future Trendscited by 205
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2021Noise2Score: Tweedie's Approach to Self-Supervised Image Denoising without Clean Imagescited by 110
- 2022AP-BSN: Self-Supervised Denoising for Real-World Images via Asymmetric PD and Blind-Spot Networkcited by 92
- 2023Random Sub-Samples Generation for Self-Supervised Real Image Denoisingcited by 31
- 2022A theoretical framework for self-supervised MR image reconstruction using sub-sampling via variable density Noisier2Noisecited by 29
- 2021Interpretable Unsupervised Diversity Denoising and Artefact Removalcited by 26
- 2021Optimal Transport for Unsupervised Denoising Learningcited by 24
- 2022Self-Supervised Representation Learning via Latent Graph Predictioncited by 22
- 2022Denoising Masked AutoEncoders Help Robust Classificationcited by 21
- 2021As if by magic: self-supervised training of deep despeckling networks with MERLINcited by 18
- 2021Noise Distribution Adaptive Self-Supervised Image Denoising using Tweedie Distribution and Score Matchingcited by 18
12 most cited of 54 All 54 (JSON)
- 2026Noise2Noise Revisited: Training Pair Distributions Dominate Loss Choice in Self-Supervised Denoising15 Sep 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026NGPS: Structure-Preserving Self-Supervised Denoising via Neighbor-Guided Patch Sampling22 Jun 2026
- 2026Deploying Self-Supervised Learning for Real Seismic Data Denoising11 May 2026
- 2025A Graph Laplacian Eigenvector-based Pre-training Method for Graph Neural Networks2 Sep 2025
- 2025NoiseSDF2NoiseSDF: Learning Clean Neural Fields from Noisy Supervision18 Jul 2025
- 2025Zero-shot Denoising via Neural Compression: Theoretical and algorithmic framework15 Jun 2025
- 2025Self-Supervised Learning for Image Segmentation: A Comprehensive Survey19 May 2025
- 2025Score-based Self-supervised MRI Denoising8 May 2025
- 2025Noise2Score3D:Unsupervised Tweedie's Approach for Point Cloud Denoising24 Feb 2025
- 2025Self-Supervised Diffusion MRI Denoising via Iterative and Stable Refinement23 Jan 2025
- 2024Positive2Negative: Breaking the Information-Lossy Barrier in Self-Supervised Single Image Denoising21 Dec 2024
12 newest of 54 All 54 (JSON)