Noise Flow: Noise Modeling with Conditional Normalizing Flows
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Abstract (arXiv)
Modeling and synthesizing image noise is an important aspect in many computer vision applications. The long-standing additive white Gaussian and heteroscedastic (signal-dependent) noise models widely used in the literature provide only a coarse approximation of real sensor noise. This paper introduces Noise Flow, a powerful and accurate noise model based on recent normalizing flow architectures. Noise Flow combines well-established basic parametric noise models (e.g., signal-dependent noise) with the flexibility and expressiveness of normalizing flow networks. The result is a single, comprehensive, compact noise model containing fewer than 2500 parameters yet able to represent multiple cameras and gain factors. Noise Flow dramatically outperforms existing noise models, with 0.42 nats/pixel improvement over the camera-calibrated noise level functions, which translates to 52% improvement in the likelihood of sampled noise. Noise Flow represents the first serious attempt to go beyond simple parametric models to one that leverages the power of deep learning and data-driven noise distributions.
Key facts. Cited by 108 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Aug 2019.
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Citing papers per year: 2021: 21; 2022: 29; 2023: 20; 2024: 17; 2025: 9; 2026: 12.
108 papers.
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- 2021Low-Light Image Enhancement with Normalizing Flowcited by 184
- 2021Image-to-Image Translation: Methods and Applicationscited by 116
- 2021Invertible Denoising Network: A Light Solution for Real Noise Removalcited by 68
- 2021Physics-based Noise Modeling for Extreme Low-light Photographycited by 67
- 2021Rethinking Noise Synthesis and Modeling in Raw Denoisingcited by 62
- 2022C2N: Practical Generative Noise Modeling for Real-World Denoisingcited by 56
- 2022Realistic Blur Synthesis for Learning Image Deblurringcited by 51
- 2022Dancing under the stars: video denoising in starlightcited by 47
- 2021IDR: Self-Supervised Image Denoising via Iterative Data Refinementcited by 36
- 2024RobustSAM: Segment Anything Robustly on Degraded Imagescited by 36
- 2021DeFlow: Learning Complex Image Degradations from Unpaired Data with Conditional Flowscited by 30
- 2022Modeling sRGB Camera Noise with Normalizing Flowscited by 28
38 more
- 2022Variational Deep Image Restorationcited by 24
- 2022Day-to-Night Image Synthesis for Training Nighttime Neural ISPscited by 23
- 2023Towards General Low-Light Raw Noise Synthesis and Modelingcited by 19
- 2022Target-aware Molecular Graph Generationcited by 18
- 2022Learn from Unpaired Data for Image Restoration: A Variational Bayes Approachcited by 18
- 2022Efficient Visual Computing with Camera RAW Snapshotscited by 18
- 2023Raw Image Reconstruction with Learned Compact Metadatacited by 18
- 2022Noise2NoiseFlow: Realistic Camera Noise Modeling without Clean Imagescited by 17
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensemblingcited by 17
- 2021Progressive Joint Low-light Enhancement and Noise Removal for Raw Imagescited by 16
- 2021Differentiable Particle Filters through Conditional Normalizing Flowcited by 15
- 2022Estimating Fine-Grained Noise Model via Contrastive Learningcited by 14
- 2022D2HNet: Joint Denoising and Deblurring with Hierarchical Network for Robust Night Image Restorationcited by 14
- 2024Generative AI for Unmanned Vehicle Swarms: Challenges, Applications and Opportunitiescited by 14
- 2025AIM 2025 Low-light RAW Video Denoising Challenge: Dataset, Methods and Resultscited by 14
- 2023Self-supervised Image Denoising with Downsampled Invariance Loss and Conditional Blind-Spot Networkcited by 12
- 2025IDF: Iterative Dynamic Filtering Networks for Generalizable Image Denoisingcited by 12
- 2024DualDn: Dual-domain Denoising via Differentiable ISPcited by 11
- 2021Pseudo-ISP: Learning Pseudo In-camera Signal Processing Pipeline from A Color Image Denoisercited by 10
- 2021Neural Camera Simulatorscited by 10
- 2023Learning Physics-Informed Noise Models from Dark Frames for Low-Light Raw Image Denoisingcited by 10
- 2024LAN: Learning to Adapt Noise for Image Denoisingcited by 10
- 2023Beyond Learned Metadata-based Raw Image Reconstructioncited by 9
- 2022TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speedcited by 8
- 2022Learning Diverse Tone Styles for Image Retouchingcited by 8
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
- 2024BVI-RLV: A Fully Registered Dataset for Low-Light Video Enhancementcited by 8
- 2021Disentangling Noise from Images: A Flow-Based Image Denoising Neural Networkcited by 7
- 2023Diffusion Models with Deterministic Normalizing Flow Priorscited by 7
- 2021Robust normalizing flows using Bernstein-type polynomialscited by 6
- 2022Conditional Measurement Density Estimation in Sequential Monte Carlo via Normalizing Flowcited by 6
- 2022Invertible Monotone Operators for Normalizing Flowscited by 6
- 2023Learning Many-to-Many Mapping for Unpaired Real-World Image Super-resolution and Downscalingcited by 6
- 2022AUTM Flow: Atomic Unrestricted Time Machine for Monotonic Normalizing Flowscited by 5
- 2023Harmonizing Flows: Unsupervised MR harmonization based on normalizing flowscited by 5
- 2023BlindHarmony: "Blind" Harmonization for MR Images via Flow modelcited by 5
- 2023Realistic Noise Synthesis with Diffusion Modelscited by 5
- 2023Recurrent Spike-based Image Restoration under General Illuminationcited by 5
50 most cited of 108 All 108 (JSON)
- 2026Recovering Weak Signals with Normalizing Flows6 Sep 2026
- 2026sRGB Real Noise Modeling via Noise-Aware Sampling with Normalizing Flows29 Aug 2026
- 2026RagGAD: Rationale-Aware Conditional Gaussian Mixture Normalizing Flow for Unsupervised Graph Anomaly Detection17 Aug 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026YeTI: You Only Need Two Noisy Images for Real-World sRGB Noise Generation10 Jul 2026
- 2026Poisson2Gaussian: Noise Gaussianization to Enhance Image Denoising22 Jun 2026
- 2026Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective7 May 2026
- 2026Beyond Model Design: Data-Centric Training and Self-Ensemble for Gaussian Color Image Denoising13 Apr 2026
- 2026RawGen: Learning Camera Raw Image Generation31 Mar 2026
- 2026Learning to Recorrupt: Noise Distribution Agnostic Self-Supervised Image Denoising26 Mar 2026
- 2026Diffusion-Based sRGB Real Noise Generation via Prompt-Driven Noise Representation Learning5 Mar 2026
- 2026Conditional Normalizing Flows for Forward and Backward Joint State and Parameter Estimation11 Jan 2026
38 more
- 2025GuidNoise: Single-Pair Guided Diffusion for Generalized Noise Synthesis4 Dec 2025
- 20252-Shots in the Dark: Low-Light Denoising with Minimal Data Acquisition2 Dec 2025
- 2025AIM 2025 Challenge on Real-World RAW Image Denoising8 Oct 2025
- 2025Physics-Guided Rectified Flow for Low-light RAW Image Enhancement10 Sep 2025
- 2025IDF: Iterative Dynamic Filtering Networks for Generalizable Image Denoising27 Aug 2025
- 2025AIM 2025 Low-light RAW Video Denoising Challenge: Dataset, Methods and Results22 Aug 2025
- 2025DarkDiff: Advancing Low-Light Raw Enhancement by Retasking Diffusion Models for Camera ISP29 May 2025
- 2025Towards a Universal Image Degradation Model via Content-Degradation Disentanglement19 May 2025
- 2025Dark Noise Diffusion: Noise Synthesis for Low-Light Image Denoising14 Mar 2025
- 2024LAN: Learning to Adapt Noise for Image Denoising14 Dec 2024
- 2024Modeling Dual-Exposure Quad-Bayer Patterns for Joint Denoising and Deblurring10 Dec 2024
- 2024Adaptive Domain Learning for Cross-domain Image Denoising3 Nov 2024
- 2024DualDn: Dual-domain Denoising via Differentiable ISP27 Sep 2024
- 2024Can Your Generative Model Detect Out-of-Distribution Covariate Shift?4 Sep 2024
- 2024Harmonizing Flows: Leveraging normalizing flows for unsupervised and source-free MRI harmonization22 Jul 2024
- 2024Beyond Image Prior: Embedding Noise Prior into Conditional Denoising Transformer12 Jul 2024
- 2024BVI-RLV: A Fully Registered Dataset for Low-Light Video Enhancement3 Jul 2024
- 2024Technique Report of CVPR 2024 PBDL Challenges15 Jun 2024
- 2024RobustSAM: Segment Anything Robustly on Degraded Images13 Jun 2024
- 2024Bayesian Adaptive Calibration and Optimal Design23 May 2024
- 2024Real-time Noise Source Estimation of a Camera System from an Image and Metadata4 Apr 2024
- 2024SeNM-VAE: Semi-Supervised Noise Modeling with Hierarchical Variational Autoencoder26 Mar 2024
- 2024ProbSAINT: Probabilistic Tabular Regression for Used Car Pricing6 Mar 2024
- 2024Generative AI for Unmanned Vehicle Swarms: Challenges, Applications and Opportunities28 Feb 2024
- 2024Mixed Noise and Posterior Estimation with Conditional DeepGEM5 Feb 2024
- 2024Masked Pre-training Enables Universal Zero-shot Denoiser26 Jan 2024
- 2023NM-FlowGAN: Modeling sRGB Noise without Paired Images using a Hybrid Approach of Normalizing Flows and GAN15 Dec 2023
- 2023DiffuseRAW: End-to-End Generative RAW Image Processing for Low-Light Images13 Dec 2023
- 2023Variational Elliptical Processes21 Nov 2023
- 2023Learning Physics-Informed Noise Models from Dark Frames for Low-Light Raw Image Denoising13 Oct 2023
- 2023Learning Many-to-Many Mapping for Unpaired Real-World Image Super-resolution and Downscaling8 Oct 2023
- 2023Diffusion Models with Deterministic Normalizing Flow Priors3 Sep 2023
- 2023Make Explicit Calibration Implicit: Calibrate Denoiser Instead of the Noise Model7 Aug 2023
- 2023Recurrent Spike-based Image Restoration under General Illumination6 Aug 2023
- 2023Robust estimation of exposure ratios in multi-exposure image stacks5 Aug 2023
- 2023Towards General Low-Light Raw Noise Synthesis and Modeling31 Jul 2023
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensembling8 Jul 2023
- 2023Beyond Learned Metadata-based Raw Image Reconstruction21 Jun 2023
50 newest of 108 All 108 (JSON)
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensemblingcited by 17
- 2023Diffusion Models with Deterministic Normalizing Flow Priorscited by 7
- 2023Realistic Noise Synthesis with Diffusion Modelscited by 5
- 2023DiffuseRAW: End-to-End Generative RAW Image Processing for Low-Light Imagescited by 4
- 2025Dark Noise Diffusion: Noise Synthesis for Low-Light Image Denoisingcited by 4
- 2025DarkDiff: Advancing Low-Light Raw Enhancement by Retasking Diffusion Models for Camera ISPcited by 2
- 2025Physics-Guided Rectified Flow for Low-light RAW Image Enhancementcited by 0
- 2025GuidNoise: Single-Pair Guided Diffusion for Generalized Noise Synthesiscited by 0
- 2026RawGen: Learning Camera Raw Image Generationcited by 0
- 2026RawGen: Learning Camera Raw Image Generation31 Mar 2026
- 2025GuidNoise: Single-Pair Guided Diffusion for Generalized Noise Synthesis4 Dec 2025
- 2025Physics-Guided Rectified Flow for Low-light RAW Image Enhancement10 Sep 2025
- 2025DarkDiff: Advancing Low-Light Raw Enhancement by Retasking Diffusion Models for Camera ISP29 May 2025
- 2025Dark Noise Diffusion: Noise Synthesis for Low-Light Image Denoising14 Mar 2025
- 2023DiffuseRAW: End-to-End Generative RAW Image Processing for Low-Light Images13 Dec 2023
- 2023Diffusion Models with Deterministic Normalizing Flow Priors3 Sep 2023
- 2023Stimulating Diffusion Model for Image Denoising via Adaptive Embedding and Ensembling8 Jul 2023
- 2023Realistic Noise Synthesis with Diffusion Models23 May 2023
- 2021Low-Light Image Enhancement with Normalizing Flowcited by 184
- 2021Image-to-Image Translation: Methods and Applicationscited by 116
- 2021Invertible Denoising Network: A Light Solution for Real Noise Removalcited by 68
- 2021Physics-based Noise Modeling for Extreme Low-light Photographycited by 67
- 2021Rethinking Noise Synthesis and Modeling in Raw Denoisingcited by 62
- 2022C2N: Practical Generative Noise Modeling for Real-World Denoisingcited by 56
- 2022Realistic Blur Synthesis for Learning Image Deblurringcited by 51
- 2022Dancing under the stars: video denoising in starlightcited by 47
- 2021IDR: Self-Supervised Image Denoising via Iterative Data Refinementcited by 36
- 2024RobustSAM: Segment Anything Robustly on Degraded Imagescited by 36
- 2021DeFlow: Learning Complex Image Degradations from Unpaired Data with Conditional Flowscited by 30
- 2022Modeling sRGB Camera Noise with Normalizing Flowscited by 28
12 most cited of 99 All 99 (JSON)
- 2026Recovering Weak Signals with Normalizing Flows6 Sep 2026
- 2026sRGB Real Noise Modeling via Noise-Aware Sampling with Normalizing Flows29 Aug 2026
- 2026RagGAD: Rationale-Aware Conditional Gaussian Mixture Normalizing Flow for Unsupervised Graph Anomaly Detection17 Aug 2026
- 2026Why Low-Light Cameras Go Color Blind: Removing Color Bias in Raw Denoising13 Jul 2026
- 2026YeTI: You Only Need Two Noisy Images for Real-World sRGB Noise Generation10 Jul 2026
- 2026Poisson2Gaussian: Noise Gaussianization to Enhance Image Denoising22 Jun 2026
- 2026Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective7 May 2026
- 2026Beyond Model Design: Data-Centric Training and Self-Ensemble for Gaussian Color Image Denoising13 Apr 2026
- 2026Learning to Recorrupt: Noise Distribution Agnostic Self-Supervised Image Denoising26 Mar 2026
- 2026Diffusion-Based sRGB Real Noise Generation via Prompt-Driven Noise Representation Learning5 Mar 2026
- 2026Conditional Normalizing Flows for Forward and Backward Joint State and Parameter Estimation11 Jan 2026
- 20252-Shots in the Dark: Low-Light Denoising with Minimal Data Acquisition2 Dec 2025
12 newest of 99 All 99 (JSON)