SRFlow: Learning the Super-Resolution Space with Normalizing Flow
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Cited by 52 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Super-resolution is an ill-posed problem, since it allows for multiple predictions for a given low-resolution image. This fundamental fact is largely ignored by state-of-the-art deep learning based approaches. These methods instead train a deterministic mapping using combinations of reconstruction and adversarial losses. In this work, we therefore propose SRFlow: a normalizing flow based super-resolution method capable of learning the conditional distribution of the output given the low-resolution input. Our model is trained in a principled manner using a single loss, namely the negative log-likelihood. SRFlow therefore directly accounts for the ill-posed nature of the problem, and learns to predict diverse photo-realistic high-resolution images. Moreover, we utilize the strong image posterior learned by SRFlow to design flexible image manipulation techniques, capable of enhancing super-resolved images by, e.g., transferring content from other images. We perform extensive experiments on faces, as well as on super-resolution in general. SRFlow outperforms state-of-the-art GAN-based approaches in terms of both PSNR and perceptual quality metrics, while allowing for diversity through the exploration of the space of super-resolved solutions.
Key facts. Cited by 209 papers in the map (data through 7 Oct 2026). First posted on arXiv 25 Jun 2020.
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Citing papers per year: 2021: 49; 2022: 44; 2023: 43; 2024: 44; 2025: 17; 2026: 12.
209 papers.
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- 2021Image Super-Resolution via Iterative Refinementcited by 1,506
- 2021SRDiff: Single Image Super-Resolution with Diffusion Probabilistic Modelscited by 415
- 2021GAN Inversion: A Surveycited by 366
- 2024Scaling Up to Excellence: Practicing Model Scaling for Photo-Realistic Image Restoration In the Wildcited by 281
- 2021Deblurring via Stochastic Refinementcited by 248
- 2023SinSR: Diffusion-Based Image Super-Resolution in a Single Stepcited by 235
- 2023Implicit Diffusion Models for Continuous Super-Resolutioncited by 216
- 2021Low-Light Image Enhancement with Normalizing Flowcited by 184
- 2023Image Restoration with Mean-Reverting Stochastic Differential Equationscited by 182
- 2023Inversion by Direct Iteration: An Alternative to Denoising Diffusion for Image Restorationcited by 164
- 2021Enhanced Invertible Encoding for Learned Image Compressioncited by 102
- 2022ShadowDiffusion: When Degradation Prior Meets Diffusion Model for Shadow Removalcited by 102
38 more
- 2021Deep Burst Super-Resolutioncited by 83
- 2021Equivariant Imaging: Learning Beyond the Range Spacecited by 83
- 2021Flow-based Kernel Prior with Application to Blind Super-Resolutioncited by 74
- 2021Hierarchical Conditional Flow: A Unified Framework for Image Super-Resolution and Image Rescalingcited by 73
- 2021Fourier Space Losses for Efficient Perceptual Image Super-Resolutioncited by 72
- 2024Efficient Diffusion Model for Image Restoration by Residual Shiftingcited by 64
- 2024Diffusion Models, Image Super-Resolution And Everything: A Surveycited by 63
- 2022Towards Blind Watermarking: Combining Invertible and Non-invertible Mechanismscited by 61
- 2022Conditional Simulation Using Diffusion Schr"odinger Bridgescited by 58
- 2024Towards Realistic Data Generation for Real-World Super-Resolutioncited by 56
- 2023ResDiff: Combining CNN and Diffusion Model for Image Super-Resolutioncited by 53
- 2021A Theory of the Distortion-Perception Tradeoff in Wasserstein Spacecited by 52
- 2021Stochastic Image-to-Video Synthesis using cINNscited by 49
- 2022Deep Constrained Least Squares for Blind Image Super-Resolutioncited by 47
- 2023WaveDM: Wavelet-Based Diffusion Models for Image Restorationcited by 46
- 2024Deep Learning-based Image and Video Inpainting: A Surveycited by 44
- 2021iPOKE: Poking a Still Image for Controlled Stochastic Video Synthesiscited by 42
- 2022Do better ImageNet classifiers assess perceptual similarity better?cited by 34
- 2023Local Implicit Normalizing Flow for Arbitrary-Scale Image Super-Resolutioncited by 34
- 2023Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Modelscited by 33
- 2024GLARE: Low Light Image Enhancement via Generative Latent Feature based Codebook Retrievalcited by 33
- 2021DeFlow: Learning Complex Image Degradations from Unpaired Data with Conditional Flowscited by 30
- 2022Hard-Constrained Deep Learning for Climate Downscalingcited by 29
- 2022DiffuPose: Monocular 3D Human Pose Estimation via Denoising Diffusion Probabilistic Modelcited by 29
- 2023ExposureDiffusion: Learning to Expose for Low-light Image Enhancementcited by 29
- 2021SRWarp: Generalized Image Super-Resolution under Arbitrary Transformationcited by 26
- 2021COMISR: Compression-Informed Video Super-Resolutioncited by 26
- 2023Posterior Sampling Based on Gradient Flows of the MMD with Negative Distance Kernelcited by 25
- 2022Collapse by Conditioning: Training Class-conditional GANs with Limited Datacited by 24
- 2024Generative AI for Synthetic Data Across Multiple Medical Modalities: A Systematic Review of Recent Developments and Challengescited by 24
- 2024Perception-Oriented Video Frame Interpolation via Asymmetric Blendingcited by 23
- 2021NTIRE 2021 Challenge on Burst Super-Resolution: Methods and Resultscited by 22
- 2022PatchNR: Learning from Very Few Images by Patch Normalizing Flow Regularizationcited by 22
- 2024DiSR-NeRF: Diffusion-Guided View-Consistent Super-Resolution NeRFcited by 22
- 2024SuperGaussian: Repurposing Video Models for 3D Super Resolutioncited by 22
- 2022Perception-Oriented Single Image Super-Resolution using Optimal Objective Estimationcited by 21
- 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolutioncited by 21
- 2023Super-NeRF: View-consistent Detail Generation for NeRF super-resolutioncited by 21
50 most cited of 209 All 209 (JSON)
- 2026DPAMixerSR: An Efficient Degradation-Pattern-Aware Model for Image Super-Resolution26 Sep 2026
- 2026α-Graph: Attention-Infused Normalizing Flow Approach to Tractable Graph Modeling7 Sep 2026
- 2026sRGB Real Noise Modeling via Noise-Aware Sampling with Normalizing Flows29 Aug 2026
- 2026SolarFlowRefiner: Refinement-Aware Flow Matching for Surface Solar Radiation Downscaling21 Aug 2026
- 2026Supervising the Path to Fine Scales: GalerkinFlow for Scientific-Field and Image Super-Resolution17 Aug 2026
- 2026GeoFlow: Efficient Driving Video Generation via Geometry-Aligned Priors12 Aug 2026
- 2026Flow-based conditional cardiac anatomy generation for virtual cohorts10 Aug 2026
- 2026Variational Inference for Bird's Eye View Segmentation in Autonomous Driving16 Jul 2026
- 2026SP3: Spherical Priors for Plug-and-Play Restoration15 Jun 2026
- 2026SRT: Super-Resolution for Time Series via Disentangled Rectified Flow29 May 2026
- 2026You Only Landmark Once: Lightweight U-Net Face Super Resolution with YOLO-World Landmark Heatmaps13 May 2026
- 2026InfScene-SR: Seamless Super-Resolution of Arbitrarily Large Remote-Sensing Scenes via Variance-Preserving Joint Denoising23 Feb 2026
38 more
- 2025INSIGHT: An Interpretable Neural Vision-Language Framework for Reasoning of Generative Artifacts27 Nov 2025
- 2025Diffusion Transformer meets Multi-level Wavelet Spectrum for Single Image Super-Resolution3 Nov 2025
- 2025Enhancing Blind Face Restoration through Online Reinforcement Learning27 Sep 2025
- 2025An invertible generative model for forward and inverse problems4 Sep 2025
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learning13 Aug 2025
- 2025PIF-Net: Ill-Posed Prior Guided Multispectral and Hyperspectral Image Fusion via Invertible Mamba and Fusion-Aware LoRA1 Aug 2025
- 2025Hallucination Score: Towards Mitigating Hallucinations in Generative Image Super-Resolution18 Jul 2025
- 2025Exact Evaluation of the Accuracy of Diffusion Models for Inverse Problems with Gaussian Data Distributions9 Jul 2025
- 2025Efficient Kilometer-Scale Precipitation Downscaling with Conditional Wavelet Diffusion2 Jul 2025
- 2025Controllable Reference Guided Diffusion with Local Global Fusion for Real World Remote Sensing Image Super Resolution30 Jun 2025
- 2025Self-Cascaded Diffusion Models for Arbitrary-Scale Image Super-Resolution9 Jun 2025
- 2025Semantic-Guided Diffusion Model for Single-Step Image Super-Resolution11 May 2025
- 2025Optimization of Module Transferability in Single Image Super-Resolution: Universality Assessment and Cycle Residual Blocks6 May 2025
- 2025Augmenting Perceptual Super-Resolution via Image Quality Predictors25 Apr 2025
- 2025ECLARE: Efficient cross-planar learning for anisotropic resolution enhancement14 Mar 2025
- 2025MFSR: Multi-fractal Feature for Super-resolution Reconstruction with Fine Details Recovery27 Feb 2025
- 2025DeblurDiff: Real-World Image Deblurring with Generative Diffusion Models6 Feb 2025
- 2024Diffusion Prior Interpolation for Flexibility Real-World Face Super-Resolution21 Dec 2024
- 2024Auto-Encoded Supervision for Perceptual Image Super-Resolution28 Nov 2024
- 2024HoliSDiP: Image Super-Resolution via Holistic Semantics and Diffusion Prior27 Nov 2024
- 2024MGHF: Multi-Granular High-Frequency Perceptual Loss for Image Super-Resolution20 Nov 2024
- 2024A Modular Conditional Diffusion Framework for Image Reconstruction8 Nov 2024
- 2024Fingerprints of Super Resolution Networks29 Oct 2024
- 2024A Flow-based Truncated Denoising Diffusion Model for Super-resolution Magnetic Resonance Spectroscopic Imaging25 Oct 2024
- 2024Advancing Super-Resolution in Neural Radiance Fields via Variational Diffusion Strategies22 Oct 2024
- 2024Super-resolving Real-world Image Illumination Enhancement: A New Dataset and A Conditional Diffusion Model16 Oct 2024
- 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restoration7 Oct 2024
- 2024Adaptive Selection of Sampling-Reconstruction in Fourier Compressed Sensing18 Sep 2024
- 2024Amortized Posterior Sampling with Diffusion Prior Distillation25 Jul 2024
- 2024FIIH: Fully Invertible Image Hiding for Secure and Robust24 Jul 2024
- 2024GLARE: Low Light Image Enhancement via Generative Latent Feature based Codebook Retrieval17 Jul 2024
- 2024Generative AI for Synthetic Data Across Multiple Medical Modalities: A Systematic Review of Recent Developments and Challenges27 Jun 2024
- 2024Disentangled Motion Modeling for Video Frame Interpolation25 Jun 2024
- 2024Towards Realistic Data Generation for Real-World Super-Resolution11 Jun 2024
- 2024Binarized Diffusion Model for Image Super-Resolution9 Jun 2024
- 2024SuperGaussian: Repurposing Video Models for 3D Super Resolution2 Jun 2024
- 2024Single image super-resolution based on trainable feature matching attention network29 May 2024
- 2024Hierarchical Uncertainty Exploration via Feedforward Posterior Trees24 May 2024
50 newest of 209 All 209 (JSON)
- 2021SRDiff: Single Image Super-Resolution with Diffusion Probabilistic Modelscited by 415
- 2021Deblurring via Stochastic Refinementcited by 248
- 2023SinSR: Diffusion-Based Image Super-Resolution in a Single Stepcited by 235
- 2023Implicit Diffusion Models for Continuous Super-Resolutioncited by 216
- 2023Inversion by Direct Iteration: An Alternative to Denoising Diffusion for Image Restorationcited by 164
- 2022ShadowDiffusion: When Degradation Prior Meets Diffusion Model for Shadow Removalcited by 102
- 2024Efficient Diffusion Model for Image Restoration by Residual Shiftingcited by 64
- 2024Diffusion Models, Image Super-Resolution And Everything: A Surveycited by 63
- 2022Conditional Simulation Using Diffusion Schr"odinger Bridgescited by 58
- 2023ResDiff: Combining CNN and Diffusion Model for Image Super-Resolutioncited by 53
- 2023WaveDM: Wavelet-Based Diffusion Models for Image Restorationcited by 46
- 2023Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Modelscited by 33
12 most cited of 51 All 51 (JSON)
- 2026GeoFlow: Efficient Driving Video Generation via Geometry-Aligned Priors12 Aug 2026
- 2026SRT: Super-Resolution for Time Series via Disentangled Rectified Flow29 May 2026
- 2026InfScene-SR: Seamless Super-Resolution of Arbitrarily Large Remote-Sensing Scenes via Variance-Preserving Joint Denoising23 Feb 2026
- 2025Diffusion Transformer meets Multi-level Wavelet Spectrum for Single Image Super-Resolution3 Nov 2025
- 2025Exact Evaluation of the Accuracy of Diffusion Models for Inverse Problems with Gaussian Data Distributions9 Jul 2025
- 2025Efficient Kilometer-Scale Precipitation Downscaling with Conditional Wavelet Diffusion2 Jul 2025
- 2025Controllable Reference Guided Diffusion with Local Global Fusion for Real World Remote Sensing Image Super Resolution30 Jun 2025
- 2025Self-Cascaded Diffusion Models for Arbitrary-Scale Image Super-Resolution9 Jun 2025
- 2025Semantic-Guided Diffusion Model for Single-Step Image Super-Resolution11 May 2025
- 2025MFSR: Multi-fractal Feature for Super-resolution Reconstruction with Fine Details Recovery27 Feb 2025
- 2025DeblurDiff: Real-World Image Deblurring with Generative Diffusion Models6 Feb 2025
- 2024Diffusion Prior Interpolation for Flexibility Real-World Face Super-Resolution21 Dec 2024
12 newest of 51 All 51 (JSON)
- 2021Image Super-Resolution via Iterative Refinementcited by 1,506
- 2021GAN Inversion: A Surveycited by 366
- 2024Scaling Up to Excellence: Practicing Model Scaling for Photo-Realistic Image Restoration In the Wildcited by 281
- 2021Low-Light Image Enhancement with Normalizing Flowcited by 184
- 2023Image Restoration with Mean-Reverting Stochastic Differential Equationscited by 182
- 2021Enhanced Invertible Encoding for Learned Image Compressioncited by 102
- 2021Deep Burst Super-Resolutioncited by 83
- 2021Equivariant Imaging: Learning Beyond the Range Spacecited by 83
- 2021Flow-based Kernel Prior with Application to Blind Super-Resolutioncited by 74
- 2021Hierarchical Conditional Flow: A Unified Framework for Image Super-Resolution and Image Rescalingcited by 73
- 2021Fourier Space Losses for Efficient Perceptual Image Super-Resolutioncited by 72
- 2022Towards Blind Watermarking: Combining Invertible and Non-invertible Mechanismscited by 61
12 most cited of 155 All 155 (JSON)
- 2026DPAMixerSR: An Efficient Degradation-Pattern-Aware Model for Image Super-Resolution26 Sep 2026
- 2026α-Graph: Attention-Infused Normalizing Flow Approach to Tractable Graph Modeling7 Sep 2026
- 2026sRGB Real Noise Modeling via Noise-Aware Sampling with Normalizing Flows29 Aug 2026
- 2026SolarFlowRefiner: Refinement-Aware Flow Matching for Surface Solar Radiation Downscaling21 Aug 2026
- 2026Supervising the Path to Fine Scales: GalerkinFlow for Scientific-Field and Image Super-Resolution17 Aug 2026
- 2026Flow-based conditional cardiac anatomy generation for virtual cohorts10 Aug 2026
- 2026Variational Inference for Bird's Eye View Segmentation in Autonomous Driving16 Jul 2026
- 2026SP3: Spherical Priors for Plug-and-Play Restoration15 Jun 2026
- 2026You Only Landmark Once: Lightweight U-Net Face Super Resolution with YOLO-World Landmark Heatmaps13 May 2026
- 2025Enhancing Blind Face Restoration through Online Reinforcement Learning27 Sep 2025
- 2025An invertible generative model for forward and inverse problems4 Sep 2025
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learning13 Aug 2025
12 newest of 155 All 155 (JSON)