mlsanityData to 7 Oct 2026

Hierarchical Conditional Flow: A Unified Framework for Image Super-Resolution and Image Rescaling

arXiv 2108.05301 ↗First posted 11 Aug 2021eess.IV cs.CVcited by 73

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Cited by 28 in Diffusion models, but placed by its own abstract, which didn’t fit.

Abstract (arXiv)

Normalizing flows have recently demonstrated promising results for low-level vision tasks. For image super-resolution (SR), it learns to predict diverse photo-realistic high-resolution (HR) images from the low-resolution (LR) image rather than learning a deterministic mapping. For image rescaling, it achieves high accuracy by jointly modelling the downscaling and upscaling processes. While existing approaches employ specialized techniques for these two tasks, we set out to unify them in a single formulation. In this paper, we propose the hierarchical conditional flow (HCFlow) as a unified framework for image SR and image rescaling. More specifically, HCFlow learns a bijective mapping between HR and LR image pairs by modelling the distribution of the LR image and the rest high-frequency component simultaneously. In particular, the high-frequency component is conditional on the LR image in a hierarchical manner. To further enhance the performance, other losses such as perceptual loss and GAN loss are combined with the commonly used negative log-likelihood loss in training. Extensive experiments on general image SR, face image SR and image rescaling have demonstrated that the proposed HCFlow achieves state-of-the-art performance in terms of both quantitative metrics and visual quality.

Key facts. Cited by 73 papers in the map (data through 7 Oct 2026). Builds on 39 of its 55 references that are in the map. First posted on arXiv 11 Aug 2021.

Builds on

39 of 55 references.

References · 39

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,029
  3. 2014Deep Learning Face Attributes in the Wildcited by 3,679
  4. 2016Perceptual Losses for Real-Time Style Transfer and Super-Resolutioncited by 2,678
  5. 2016Density estimation using Real NVPcited by 2,029
  6. 2016Photo-Realistic Single Image Super-Resolution Using a Generative Adversarial Networkcited by 1,898
  7. 2017Enhanced Deep Residual Networks for Single Image Super-Resolutioncited by 1,543
  8. 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
  9. 2018Image Super-Resolution Using Very Deep Residual Channel Attention Networkscited by 1,256
  10. 2018ESRGAN: Enhanced Super-Resolution Generative Adversarial Networkscited by 1,250
  11. 2014NICE: Non-linear Independent Components Estimationcited by 1,052
  12. 2015Accurate Image Super-Resolution Using Very Deep Convolutional Networkscited by 902
27 more
  1. 2018Residual Dense Network for Image Super-Resolutioncited by 796
  2. 2017Masked Autoregressive Flow for Density Estimationcited by 680
  3. 2016Improving Variational Inference with Inverse Autoregressive Flowcited by 636
  4. 2021Designing a Practical Degradation Model for Deep Blind Image Super-Resolutioncited by 524
  5. 2020Plug-and-Play Image Restoration with Deep Denoiser Priorcited by 467
  6. 2019Flow++: Improving Flow-Based Generative Models with Variational Dequantization and Architecture Designcited by 258
  7. 2020Deep Unfolding Network for Image Super-Resolutioncited by 253
  8. 2018Analyzing Inverse Problems with Invertible Neural Networkscited by 239
  9. 2020SRFlow: Learning the Super-Resolution Space with Normalizing Flowcited by 209
  10. 2018Neural Autoregressive Flowscited by 207
  11. 2021Unsupervised Degradation Representation Learning for Blind Super-Resolutioncited by 177
  12. 2019Learning Likelihoods with Conditional Normalizing Flowscited by 170
  13. 2019Guided Image Generation with Conditional Invertible Neural Networkscited by 147
  14. 2019RankSRGAN: Generative Adversarial Networks with Ranker for Image Super-Resolutioncited by 145
  15. 2021Video Super-Resolution Transformercited by 120
  16. 2020Video Super-Resolution with Recurrent Structure-Detail Networkcited by 116
  17. 2020Invertible Image Rescalingcited by 92
  18. 2020Unsupervised Real-world Image Super Resolution via Domain-distance Aware Trainingcited by 83
  19. 2021Flow-based Kernel Prior with Application to Blind Super-Resolutioncited by 74
  20. 2020SurVAE Flows: Surjections to Bridge the Gap between VAEs and Flowscited by 71
  21. 2020Learning A Single Network for Scale-Arbitrary Super-Resolutioncited by 65
  22. 2019Sum-of-Squares Polynomial Flowcited by 62
  23. 2019Learning Parallax Attention for Stereo Image Super-Resolutioncited by 56
  24. 2019Learned Image Downscaling for Upscaling using Content Adaptive Resamplercited by 55
  25. 2018FloWaveNet : A Generative Flow for Raw Audiocited by 54
  26. 2021DeFlow: Learning Complex Image Degradations from Unpaired Data with Conditional Flowscited by 30
  27. 2021MFAGAN: A Compression Framework for Memory-Efficient On-Device Super-Resolution GANcited by 14

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 4; 2022: 18; 2023: 16; 2024: 24; 2025: 5; 2026: 6.

73 papers.

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  1. 2021SwinIR: Image Restoration Using Swin Transformercited by 1,869
  2. 2022VRT: A Video Restoration Transformercited by 219
  3. 2023Implicit Diffusion Models for Continuous Super-Resolutioncited by 216
  4. 2021Conditional Image Generation with Score-Based Diffusion Modelscited by 195
  5. 2022Recurrent Video Restoration Transformer with Guided Deformable Attentioncited by 168
  6. 2022Details or Artifacts: A Locally Discriminative Learning Approach to Realistic Image Super-Resolutioncited by 114
  7. 2022CiaoSR: Continuous Implicit Attention-in-Attention Network for Arbitrary-Scale Image Super-Resolutioncited by 69
  8. 2023ResDiff: Combining CNN and Diffusion Model for Image Super-Resolutioncited by 53
  9. 2022Reference-based Image Super-Resolution with Deformable Attention Transformercited by 50
  10. 2023Local Implicit Normalizing Flow for Arbitrary-Scale Image Super-Resolutioncited by 34
  11. 2022PatchNR: Learning from Very Few Images by Patch Normalizing Flow Regularizationcited by 22
  12. 2024DiSR-NeRF: Diffusion-Guided View-Consistent Super-Resolution NeRFcited by 22
38 more
  1. 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolutioncited by 21
  2. 2023Low-field magnetic resonance image enhancement via stochastic image quality transfercited by 19
  3. 2022Target-aware Molecular Graph Generationcited by 18
  4. 2023ACDMSR: Accelerated Conditional Diffusion Models for Single Image Super-Resolutioncited by 18
  5. 2024Binarized Diffusion Model for Image Super-Resolutioncited by 18
  6. 2022Non-Uniform Diffusion Modelscited by 14
  7. 2023DREAM: Diffusion Rectification and Estimation-Adaptive Modelscited by 12
  8. 2024Semantic Guided Large Scale Factor Remote Sensing Image Super-resolution with Generative Diffusion Priorcited by 12
  9. 2021Normalizing Flow as a Flexible Fidelity Objective for Photo-Realistic Super-resolutioncited by 10
  10. 2023Dynamic Attention-Guided Diffusion for Image Super-Resolutioncited by 10
  11. 2024SAM-DiffSR: Structure-Modulated Diffusion Model for Image Super-Resolutioncited by 10
  12. 2023Self-Asymmetric Invertible Network for Compression-Aware Image Rescalingcited by 9
  13. 2023A Dive into SAM Prior in Image Restorationcited by 9
  14. 2022FS-NCSR: Increasing Diversity of the Super-Resolution Space via Frequency Separation and Noise-Conditioned Normalizing Flowcited by 8
  15. 2022Downscaled Representation Matters: Improving Image Rescaling with Collaborative Downscaled Imagescited by 8
  16. 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
  17. 2023PSRFlow: Probabilistic Super Resolution with Flow-Based Models for Scientific Datacited by 8
  18. 2024HoliSDiP: Image Super-Resolution via Holistic Semantics and Diffusion Priorcited by 8
  19. 2024Boosting Flow-based Generative Super-Resolution Models via Learned Priorcited by 7
  20. 2021DSRGAN: Detail Prior-Assisted Perceptual Single Image Super-Resolution via Generative Adversarial Networkscited by 6
  21. 2023Real-time 6K Image Rescaling with Rate-distortion Optimizationcited by 6
  22. 2023MolHF: A Hierarchical Normalizing Flow for Molecular Graph Generationcited by 6
  23. 2023Learning Many-to-Many Mapping for Unpaired Real-World Image Super-resolution and Downscalingcited by 6
  24. 2024Self-Adaptive Reality-Guided Diffusion for Artifact-Free Super-Resolutioncited by 6
  25. 2024ResVR: Joint Rescaling and Viewport Rendering of Omnidirectional Imagescited by 6
  26. 2024Toward Scalable Image Feature Compression: A Content-Adaptive and Diffusion-Based Approachcited by 6
  27. 2024Plug-and-Play Tri-Branch Invertible Block for Image Rescalingcited by 6
  28. 2024Timestep-Aware Diffusion Model for Extreme Image Rescalingcited by 5
  29. 2024Learning Efficient and Effective Trajectories for Differential Equation-based Image Restorationcited by 5
  30. 2022Enhancing Image Rescaling using Dual Latent Variables in Invertible Neural Networkcited by 4
  31. 2024Spatial-temporal Hierarchical Reinforcement Learning for Interpretable Pathology Image Super-Resolutioncited by 4
  32. 2022Self Supervised Low Dose Computed Tomography Image Denoising Using Invertible Network Exploiting Inter Slice Congruencecited by 3
  33. 2023Probabilistic and Semantic Descriptions of Image Manifolds and Their Applicationscited by 3
  34. 2024Efficient Image Deblurring Networks based on Diffusion Modelscited by 3
  35. 2024Efficient Conditional Diffusion Model with Probability Flow Sampling for Image Super-resolutioncited by 3
  36. 2024Frequency-Domain Refinement with Multiscale Diffusion for Super Resolutioncited by 3
  37. 2024ContextFlow++: Generalist-Specialist Flow-based Generative Models with Mixed-Variable Context Encodingcited by 3
  38. 2022Flow-based Visual Quality Enhancer for Super-resolution Magnetic Resonance Spectroscopic Imagingcited by 2

50 most cited of 73 All 73 (JSON)