Noise Conditional Flow Model for Learning the Super-Resolution Space
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Abstract (arXiv)
Fundamentally, super-resolution is ill-posed problem because a low-resolution image can be obtained from many high-resolution images. Recent studies for super-resolution cannot create diverse super-resolution images. Although SRFlow tried to account for ill-posed nature of the super-resolution by predicting multiple high-resolution images given a low-resolution image, there is room to improve the diversity and visual quality. In this paper, we propose Noise Conditional flow model for Super-Resolution, NCSR, which increases the visual quality and diversity of images through noise conditional layer. To learn more diverse data distribution, we add noise to training data. However, low-quality images are resulted from adding noise. We propose the noise conditional layer to overcome this phenomenon. The noise conditional layer makes our model generate more diverse images with higher visual quality than other works. Furthermore, we show that this layer can overcome data distribution mismatch, a problem that arises in normalizing flow models. With these benefits, NCSR outperforms baseline in diversity and visual quality and achieves better visual quality than traditional GAN-based models. We also get outperformed scores at NTIRE 2021 challenge.
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). Builds on 24 of its 33 references that are in the map. First posted on arXiv 6 Jun 2021.
Builds on
24 of 33 references.
References · 24
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,029
- 2016Densely Connected Convolutional Networkscited by 6,691
- 2017Squeeze-and-Excitation Networkscited by 4,763
- 2016Perceptual Losses for Real-Time Style Transfer and Super-Resolutioncited by 2,678
- 2015Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networkscited by 2,048
- 2016Density estimation using Real NVPcited by 2,029
- 2016Photo-Realistic Single Image Super-Resolution Using a Generative Adversarial Networkcited by 1,898
- 2017Enhanced Deep Residual Networks for Single Image Super-Resolutioncited by 1,543
- 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
- 2018Image Super-Resolution Using Very Deep Residual Channel Attention Networkscited by 1,256
12 more
- 2018ESRGAN: Enhanced Super-Resolution Generative Adversarial Networkscited by 1,250
- 2014Image Super-Resolution Using Deep Convolutional Networkscited by 1,218
- 2014NICE: Non-linear Independent Components Estimationcited by 1,052
- 2015Accurate Image Super-Resolution Using Very Deep Convolutional Networkscited by 902
- 2018Residual Dense Network for Image Super-Resolutioncited by 796
- 2018FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Modelscited by 584
- 2020SRFlow: Learning the Super-Resolution Space with Normalizing Flowcited by 209
- 2019Learning Likelihoods with Conditional Normalizing Flowscited by 170
- 2019Guided Image Generation with Conditional Invertible Neural Networkscited by 147
- 2020SoftFlow: Probabilistic Framework for Normalizing Flow on Manifoldscited by 97
- 2018Efficient and Accurate MRI Super-Resolution using a Generative Adversarial Network and 3D Multi-Level Densely Connected Networkcited by 64
- 2020ESRGAN+ : Further Improving Enhanced Super-Resolution Generative Adversarial Networkcited by 27
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Citing papers per year: 2022: 5; 2023: 2; 2024: 6; 2025: 4; 2026: 2.
19 papers.
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- 2024XPSR: Cross-modal Priors for Diffusion-based Image Super-Resolutioncited by 41
- 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolutioncited by 21
- 2024Training Generative Image Super-Resolution Models by Wavelet-Domain Losses Enables Better Control of Artifactscited by 16
- 2025NTIRE 2025 Challenge on Image Super-Resolution (x4): Methods and Resultscited by 12
- 2022Generative Adversarial Networks for Image Super-Resolution: A Surveycited by 11
- 2023A Conditional Normalizing Flow for Accelerated Multi-Coil MR Imagingcited by 10
- 2022FS-NCSR: Increasing Diversity of the Super-Resolution Space via Frequency Separation and Noise-Conditioned Normalizing Flowcited by 8
- 2022Learning Diverse Tone Styles for Image Retouchingcited by 8
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
- 2025Beyond Simple Edits: X-Planner for Complex Instruction-Based Image Editingcited by 8
- 2024Boosting Flow-based Generative Super-Resolution Models via Learned Priorcited by 7
- 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restorationcited by 5
7 more
- 2025ECLARE: Efficient cross-planar learning for anisotropic resolution enhancementcited by 5
- 2022Dynamic-Pix2Pix: Noise Injected cGAN for Modeling Input and Target Domain Joint Distributions with Limited Training Datacited by 1
- 2024Harnessing the Power of Noise: A Survey of Techniques and Applicationscited by 0
- 2024Fingerprints of Super Resolution Networkscited by 0
- 2025ControlMambaIR: Conditional Controls with State-Space Model for Image Restorationcited by 0
- 2026Revisiting the Perception-Distortion Trade-off with Spatial-Semantic Guided Super-Resolutioncited by 0
- 2026RTE-FM-Dehazer: Radiative Transfer Equation Inspired Flow Matching for Real-World Image Dehazingcited by 0
- 2026RTE-FM-Dehazer: Radiative Transfer Equation Inspired Flow Matching for Real-World Image Dehazing2 Jul 2026
- 2026Revisiting the Perception-Distortion Trade-off with Spatial-Semantic Guided Super-Resolution14 Mar 2026
- 2025Beyond Simple Edits: X-Planner for Complex Instruction-Based Image Editing7 Jul 2025
- 2025ControlMambaIR: Conditional Controls with State-Space Model for Image Restoration3 Jun 2025
- 2025NTIRE 2025 Challenge on Image Super-Resolution (x4): Methods and Results20 Apr 2025
- 2025ECLARE: Efficient cross-planar learning for anisotropic resolution enhancement14 Mar 2025
- 2024Fingerprints of Super Resolution Networks29 Oct 2024
- 2024Harnessing the Power of Noise: A Survey of Techniques and Applications8 Oct 2024
- 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restoration7 Oct 2024
- 2024Boosting Flow-based Generative Super-Resolution Models via Learned Prior16 Mar 2024
- 2024XPSR: Cross-modal Priors for Diffusion-based Image Super-Resolution8 Mar 2024
- 2024Training Generative Image Super-Resolution Models by Wavelet-Domain Losses Enables Better Control of Artifacts29 Feb 2024
7 more
- 2023A Conditional Normalizing Flow for Accelerated Multi-Coil MR Imaging2 Jun 2023
- 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolution14 Feb 2023
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imaging8 Dec 2022
- 2022Dynamic-Pix2Pix: Noise Injected cGAN for Modeling Input and Target Domain Joint Distributions with Limited Training Data15 Nov 2022
- 2022Learning Diverse Tone Styles for Image Retouching12 Jul 2022
- 2022Generative Adversarial Networks for Image Super-Resolution: A Survey28 Apr 2022
- 2022FS-NCSR: Increasing Diversity of the Super-Resolution Space via Frequency Separation and Noise-Conditioned Normalizing Flow20 Apr 2022
- 2024XPSR: Cross-modal Priors for Diffusion-based Image Super-Resolutioncited by 41
- 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolutioncited by 21
- 2025Beyond Simple Edits: X-Planner for Complex Instruction-Based Image Editingcited by 8
- 2025ControlMambaIR: Conditional Controls with State-Space Model for Image Restorationcited by 0
- 2026Revisiting the Perception-Distortion Trade-off with Spatial-Semantic Guided Super-Resolutioncited by 0
- 2026RTE-FM-Dehazer: Radiative Transfer Equation Inspired Flow Matching for Real-World Image Dehazingcited by 0
- 2026RTE-FM-Dehazer: Radiative Transfer Equation Inspired Flow Matching for Real-World Image Dehazing2 Jul 2026
- 2026Revisiting the Perception-Distortion Trade-off with Spatial-Semantic Guided Super-Resolution14 Mar 2026
- 2025Beyond Simple Edits: X-Planner for Complex Instruction-Based Image Editing7 Jul 2025
- 2025ControlMambaIR: Conditional Controls with State-Space Model for Image Restoration3 Jun 2025
- 2024XPSR: Cross-modal Priors for Diffusion-based Image Super-Resolution8 Mar 2024
- 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolution14 Feb 2023
- 2024Training Generative Image Super-Resolution Models by Wavelet-Domain Losses Enables Better Control of Artifactscited by 16
- 2025NTIRE 2025 Challenge on Image Super-Resolution (x4): Methods and Resultscited by 12
- 2022Generative Adversarial Networks for Image Super-Resolution: A Surveycited by 11
- 2023A Conditional Normalizing Flow for Accelerated Multi-Coil MR Imagingcited by 10
- 2022FS-NCSR: Increasing Diversity of the Super-Resolution Space via Frequency Separation and Noise-Conditioned Normalizing Flowcited by 8
- 2022Learning Diverse Tone Styles for Image Retouchingcited by 8
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
- 2024Boosting Flow-based Generative Super-Resolution Models via Learned Priorcited by 7
- 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restorationcited by 5
- 2025ECLARE: Efficient cross-planar learning for anisotropic resolution enhancementcited by 5
- 2022Dynamic-Pix2Pix: Noise Injected cGAN for Modeling Input and Target Domain Joint Distributions with Limited Training Datacited by 1
- 2024Harnessing the Power of Noise: A Survey of Techniques and Applicationscited by 0
12 most cited of 13 All 13 (JSON)
- 2025NTIRE 2025 Challenge on Image Super-Resolution (x4): Methods and Results20 Apr 2025
- 2025ECLARE: Efficient cross-planar learning for anisotropic resolution enhancement14 Mar 2025
- 2024Fingerprints of Super Resolution Networks29 Oct 2024
- 2024Harnessing the Power of Noise: A Survey of Techniques and Applications8 Oct 2024
- 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restoration7 Oct 2024
- 2024Boosting Flow-based Generative Super-Resolution Models via Learned Prior16 Mar 2024
- 2024Training Generative Image Super-Resolution Models by Wavelet-Domain Losses Enables Better Control of Artifacts29 Feb 2024
- 2023A Conditional Normalizing Flow for Accelerated Multi-Coil MR Imaging2 Jun 2023
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imaging8 Dec 2022
- 2022Dynamic-Pix2Pix: Noise Injected cGAN for Modeling Input and Target Domain Joint Distributions with Limited Training Data15 Nov 2022
- 2022Learning Diverse Tone Styles for Image Retouching12 Jul 2022
- 2022Generative Adversarial Networks for Image Super-Resolution: A Survey28 Apr 2022
12 newest of 13 All 13 (JSON)