The Perception-Distortion Tradeoff
Not on the map. Why?
Cited by 200 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Image restoration algorithms are typically evaluated by some distortion measure (e.g. PSNR, SSIM, IFC, VIF) or by human opinion scores that quantify perceived perceptual quality. In this paper, we prove mathematically that distortion and perceptual quality are at odds with each other. Specifically, we study the optimal probability for correctly discriminating the outputs of an image restoration algorithm from real images. We show that as the mean distortion decreases, this probability must increase (indicating worse perceptual quality). As opposed to the common belief, this result holds true for any distortion measure, and is not only a problem of the PSNR or SSIM criteria. We also show that generative-adversarial-nets (GANs) provide a principled way to approach the perception-distortion bound. This constitutes theoretical support to their observed success in low-level vision tasks. Based on our analysis, we propose a new methodology for evaluating image restoration methods, and use it to perform an extensive comparison between recent super-resolution algorithms.
Key facts. Cited by 587 papers in the map (data through 14 Oct 2026). First posted on arXiv 16 Nov 2017.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 59; 2022: 65; 2023: 82; 2024: 88; 2025: 141; 2026: 152.
587 papers.
Sort:
By area:
- 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
- 2022Exploring CLIP for Assessing the Look and Feel of Imagescited by 991
- 2021Real-ESRGAN: Training Real-World Blind Super-Resolution with Pure Synthetic Datacited by 970
- 2022Denoising Diffusion Restoration Modelscited by 963
- 2021SoundStream: An End-to-End Neural Audio Codeccited by 771
- 2021Designing an Encoder for StyleGAN Image Manipulationcited by 544
- 2021Designing a Practical Degradation Model for Deep Blind Image Super-Resolutioncited by 529
- 2022MANIQA: Multi-dimension Attention Network for No-Reference Image Quality Assessmentcited by 522
- 2023Exploiting Diffusion Prior for Real-World Image Super-Resolutioncited by 489
- 2023ResShift: Efficient Diffusion Model for Image Super-resolution by Residual Shiftingcited by 365
- 2024Scaling Up to Excellence: Practicing Model Scaling for Photo-Realistic Image Restoration In the Wildcited by 286
- 2021Deblurring via Stochastic Refinementcited by 249
38 more
- 2022Diffusion Probabilistic Modeling for Video Generationcited by 238
- 2021Large Scale Image Completion via Co-Modulated Generative Adversarial Networkscited by 220
- 2023Glaze: Protecting Artists from Style Mimicry by Text-to-Image Modelscited by 205
- 2021Learning to Enhance Low-Light Image via Zero-Reference Deep Curve Estimationcited by 192
- 2021SNIPS: Solving Noisy Inverse Problems Stochasticallycited by 191
- 2024A Survey on Diffusion Models for Inverse Problemscited by 180
- 2023Inversion by Direct Iteration: An Alternative to Denoising Diffusion for Image Restorationcited by 165
- 2022FILM: Frame Interpolation for Large Motioncited by 153
- 2021Low-Light Image and Video Enhancement Using Deep Learning: A Surveycited by 148
- 2022The Devil Is in the Details: Window-based Attention for Image Compressioncited by 147
- 2023Dual Aggregation Transformer for Image Super-Resolutioncited by 124
- 2022VQFR: Blind Face Restoration with Vector-Quantized Dictionary and Parallel Decodercited by 116
- 2022Details or Artifacts: A Locally Discriminative Learning Approach to Realistic Image Super-Resolutioncited by 114
- 2022Parallel Diffusion Models of Operator and Image for Blind Inverse Problemscited by 113
- 2021Generating Diverse Structure for Image Inpainting With Hierarchical VQ-VAEcited by 106
- 2023Towards image compression with perfect realism at ultra-low bitratescited by 103
- 2023AutoDIR: Automatic All-in-One Image Restoration with Latent Diffusioncited by 100
- 2024PnP-Flow: Plug-and-Play Image Restoration with Flow Matchingcited by 97
- 2024Pixel-level and Semantic-level Adjustable Super-resolution: A Dual-LoRA Approachcited by 97
- 2022Deep Image Deblurring: A Surveycited by 94
- 2023Improving Statistical Fidelity for Neural Image Compression with Implicit Local Likelihood Modelscited by 94
- 2022Lossy Compression with Gaussian Diffusioncited by 90
- 2024TSD-SR: One-Step Diffusion with Target Score Distillation for Real-World Image Super-Resolutioncited by 87
- 2022An Introduction to Neural Data Compressioncited by 79
- 2022Multiscale Structure Guided Diffusion for Image Deblurringcited by 77
- 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
- 2023Prompt-tuning latent diffusion models for inverse problemscited by 70
- 2022MR Image Denoising and Super-Resolution Using Regularized Reverse Diffusioncited by 67
- 2022MedNeRF: Medical Neural Radiance Fields for Reconstructing 3D-aware CT-Projections from a Single X-raycited by 66
- 2023Direct Diffusion Bridge using Data Consistency for Inverse Problemscited by 66
- 2024AddSR: Accelerating Diffusion-based Blind Super-Resolution with Adversarial Diffusion Distillationcited by 66
- 2024Efficient Diffusion Model for Image Restoration by Residual Shiftingcited by 64
- 2024Learning Diffusion Priors from Observations by Expectation Maximizationcited by 61
- 2022Diffusion Model Based Posterior Sampling for Noisy Linear Inverse Problemscited by 60
- 2022Attentions Help CNNs See Better: Attention-based Hybrid Image Quality Assessment Networkcited by 57
- 2025STAR: Spatial-Temporal Augmentation with Text-to-Video Models for Real-World Video Super-Resolutioncited by 56
- 2023High-Fidelity Image Compression with Score-based Generative Modelscited by 54
- 2024Flow Priors for Linear Inverse Problems via Iterative Corrupted Trajectory Matchingcited by 53
50 most cited of 587 All 587 (JSON)
- 2026Long-horizon Video Generation with Slot Memory Addressed By Region Tokens13 Oct 2026
- 2026Spanning Diffusion and Flow-based Posterior Sampling via Exact Gaussian Conditioning9 Oct 2026
- 2026DriftSR: One-Step Real-World Image Super-Resolution via Distribution Drifting3 Oct 2026
- 2026Super-Resolution in The Right Latent Space: A Frozen Vision-Foundation Substrate3 Oct 2026
- 2026Beyond Pointwise Error: A Multi-Metric Evaluation of Spatial Climate Downscaling1 Oct 2026
- 2026SuperMotion: Source-Preserving Denoising for Text-Driven Human Motion Editing1 Oct 2026
- 2026SemanTok: Predictable Semantic Tokens for Efficient Autoregressive Video Generation30 Sep 2026
- 2026FANVIDv2: Evaluating Video Super-Resolution by Face and Licence-Plate Recognition Under Compound Degradation30 Sep 2026
- 2026You Cannot Recover What Was Never Measured: Quantifying the Information Ceiling of Ultra-Low-Field MRI Super-Resolution29 Sep 2026
- 2026Fill2SR: Repurposing Inpainting Diffusion Transformers for Real-World Super-Resolution27 Sep 2026
- 2026In-Token Learning for High-Fidelity Image Restoration via Diffusion Transformers27 Sep 2026
- 2026Residual Diffusion Implicit Models26 Sep 2026
38 more
- 2026Feasible Flow Matching for Graph Reconstruction via Within-Sampling Primal-Dual Guidance26 Sep 2026
- 2026From Feed-Forward to Flow: Unifying Reconstruction and Generation Is Easier Than You Think26 Sep 2026
- 2026LoCoVSR: Local Context Diffusion Posterior Sampling for Video Super-Resolution26 Sep 2026
- 2026DPAMixerSR: An Efficient Degradation-Pattern-Aware Model for Image Super-Resolution26 Sep 2026
- 2026GeoCR: Learning a Generalist Cloud Removal Prior from Heterogeneous Observations26 Sep 2026
- 2026PredRA: Fast Medical Image Translation by Deterministic Component Extraction and Controlled Stochastic Refinement25 Sep 2026
- 2026SE-MSB: End-to-End Unpaired Speech Enhancement using Mamba Schr"odinger Bridges22 Sep 2026
- 2026Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution21 Sep 2026
- 2026One-Step Is Optimal: Unconditional Rectified Flows are Noise2Noise Denoisers, and Multi-Step Integration Provably Hurts---A Benchmark and Task-Based Detectability Study on Low-Dose CT15 Sep 2026
- 2026DNF-SR: Dual-Input and Negative-Aware Feature Fine-Tuning for Real-World Image Super-Resolution14 Sep 2026
- 2026Restore What Matters: Lessons from Joint Restoration and Recognition12 Sep 2026
- 2026Fast and Faithful: Principled Conditional Flow Matching for Inverse Problems11 Sep 2026
- 2026OracleZoom: On-Policy Self-Distillation Inspired Reference-Constrained Recursive Image Super Resolution6 Sep 2026
- 2026One Model, Two Worlds: Bidirectional Sonar-Optical Translation5 Sep 2026
- 2026SPARK: Input-Conditioned Sparse Activation Modulation for Frozen DiT-based Super-Resolution3 Sep 2026
- 2026Prior-Guided Implicit Neural Representations for Single-Subject Diffusion MRI Super-Resolution1 Sep 2026
- 2026FaceSnap: Real-Time Personalized Lightstage Facial Performance Capture31 Aug 2026
- 2026RAGDiffusion++: From Macro-Retrieval to Micro-Fidelity Alignment for Garment Generation29 Aug 2026
- 2026Rethinking Image Processing for the Age of AI: A Problem-First Framework for Scientific Progress27 Aug 2026
- 2026Uncertainty-Guided Latent Diffusion Models for Faithful Super Resolution26 Aug 2026
- 2026SolarFlowRefiner: Refinement-Aware Flow Matching for Surface Solar Radiation Downscaling21 Aug 2026
- 2026AutoLumNet: Monotone Optimal Transport for Single-Shot Exposure Correction20 Aug 2026
- 2026Forecast Collapse in Time-Series Foundation Models14 Aug 2026
- 2026Flow Straight to Reality: Perceptually Consistent Flow Matching for Efficient Image Restoration11 Aug 2026
- 2026When Latents Forget Pixels: Restoring Fidelity in Diffusion Transformer Super-Resolution10 Aug 2026
- 2026MRI super-resolution in ten sampling steps using a diffusion bridge model9 Aug 2026
- 2026SegDem: Segmentation helps Demosaicing8 Aug 2026
- 2026Local Epistemic Uncertainty Guided Active Sampling for Plug-and-play Diffusive Image Restoration7 Aug 2026
- 2026PRISM: Principled Reference Identification for Schrodinger Bridge Model7 Aug 2026
- 2026Any-OPD: Heterogeneous On-Policy Distillation for Flow-Matching Models via Representation-Space Bridging4 Aug 2026
- 2026Loggia dei Lanzi: AI Thermography Enhancement Comparisons through 3D Photogrammetry3 Aug 2026
- 2026Detail Continuation over a Trustworthy Coarse Scale for Autoregressive Super-Resolution3 Aug 2026
- 2026FDIR: Harmonizing Fidelity and Human-Machine Preference in Lossy Compression Image Restoration31 Jul 2026
- 2026Beyond Edge Maps: Wavelet-Domain Conditioning for Multi-Adapter Map-to-Satellite Diffusion29 Jul 2026
- 2026ScaleResfusion: Residual Rectified Flow based on Residual Vector Field28 Jul 2026
- 2026A Reference-Free Framework for Evaluating Single-Frame ISP Pipelines25 Jul 2026
- 2026Group-of-Latents: Perceptual Video Compression at Extreme Bitrates via Masked Latent Generative Modeling21 Jul 2026
- 2026MIRAGE: Multi-scale Lesion-Informed Representation with Auxiliary Guidance for MRI Contrast Enhancement21 Jul 2026
50 newest of 587 All 587 (JSON)
- 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
- 2022Denoising Diffusion Restoration Modelscited by 963
- 2023Exploiting Diffusion Prior for Real-World Image Super-Resolutioncited by 489
- 2023ResShift: Efficient Diffusion Model for Image Super-resolution by Residual Shiftingcited by 365
- 2021Deblurring via Stochastic Refinementcited by 249
- 2022Diffusion Probabilistic Modeling for Video Generationcited by 238
- 2023Glaze: Protecting Artists from Style Mimicry by Text-to-Image Modelscited by 205
- 2024A Survey on Diffusion Models for Inverse Problemscited by 180
- 2023Inversion by Direct Iteration: An Alternative to Denoising Diffusion for Image Restorationcited by 165
- 2022Parallel Diffusion Models of Operator and Image for Blind Inverse Problemscited by 113
- 2023AutoDIR: Automatic All-in-One Image Restoration with Latent Diffusioncited by 100
- 2024PnP-Flow: Plug-and-Play Image Restoration with Flow Matchingcited by 97
12 most cited of 199 All 199 (JSON)
- 2026Spanning Diffusion and Flow-based Posterior Sampling via Exact Gaussian Conditioning9 Oct 2026
- 2026DriftSR: One-Step Real-World Image Super-Resolution via Distribution Drifting3 Oct 2026
- 2026Fill2SR: Repurposing Inpainting Diffusion Transformers for Real-World Super-Resolution27 Sep 2026
- 2026In-Token Learning for High-Fidelity Image Restoration via Diffusion Transformers27 Sep 2026
- 2026Residual Diffusion Implicit Models26 Sep 2026
- 2026Feasible Flow Matching for Graph Reconstruction via Within-Sampling Primal-Dual Guidance26 Sep 2026
- 2026Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution21 Sep 2026
- 2026DNF-SR: Dual-Input and Negative-Aware Feature Fine-Tuning for Real-World Image Super-Resolution14 Sep 2026
- 2026Fast and Faithful: Principled Conditional Flow Matching for Inverse Problems11 Sep 2026
- 2026SPARK: Input-Conditioned Sparse Activation Modulation for Frozen DiT-based Super-Resolution3 Sep 2026
- 2026Uncertainty-Guided Latent Diffusion Models for Faithful Super Resolution26 Aug 2026
- 2026Flow Straight to Reality: Perceptually Consistent Flow Matching for Efficient Image Restoration11 Aug 2026
12 newest of 199 All 199 (JSON)
- 2025WorldPack: Dynamic Frame Compression for Long-context Video World Modelingcited by 8
- 2024A Survey on Future Frame Synthesis: Bridging Deterministic and Generative Approachescited by 7
- 2026From Feed-Forward to Flow: Unifying Reconstruction and Generation Is Easier Than You Thinkcited by 0
- 2026SemanTok: Predictable Semantic Tokens for Efficient Autoregressive Video Generationcited by 0
- 2026SemanTok: Predictable Semantic Tokens for Efficient Autoregressive Video Generation30 Sep 2026
- 2026From Feed-Forward to Flow: Unifying Reconstruction and Generation Is Easier Than You Think26 Sep 2026
- 2025WorldPack: Dynamic Frame Compression for Long-context Video World Modeling2 Dec 2025
- 2024A Survey on Future Frame Synthesis: Bridging Deterministic and Generative Approaches26 Jan 2024
- 2025Restore-R1: Efficient Image Restoration Agents via Reinforcement Learning with Multimodal LLM Perceptual Feedbackcited by 6
- 2025On the Utility of Foundation Models for Fast MRI: Vision-Language-Guided Image Reconstructioncited by 4
- 2025From Filters to VLMs: Benchmarking Defogging Methods through Object Detection and Segmentation Performancecited by 3
- 2025Restore-R1: Efficient Image Restoration Agents via Reinforcement Learning with Multimodal LLM Perceptual Feedback21 Dec 2025
- 2025On the Utility of Foundation Models for Fast MRI: Vision-Language-Guided Image Reconstruction24 Nov 2025
- 2025From Filters to VLMs: Benchmarking Defogging Methods through Object Detection and Segmentation Performance4 Oct 2025
- 2022Exploring CLIP for Assessing the Look and Feel of Imagescited by 991
- 2021Real-ESRGAN: Training Real-World Blind Super-Resolution with Pure Synthetic Datacited by 970
- 2021SoundStream: An End-to-End Neural Audio Codeccited by 771
- 2021Designing an Encoder for StyleGAN Image Manipulationcited by 544
- 2021Designing a Practical Degradation Model for Deep Blind Image Super-Resolutioncited by 529
- 2022MANIQA: Multi-dimension Attention Network for No-Reference Image Quality Assessmentcited by 522
- 2024Scaling Up to Excellence: Practicing Model Scaling for Photo-Realistic Image Restoration In the Wildcited by 286
- 2021Large Scale Image Completion via Co-Modulated Generative Adversarial Networkscited by 220
- 2021Learning to Enhance Low-Light Image via Zero-Reference Deep Curve Estimationcited by 192
- 2021SNIPS: Solving Noisy Inverse Problems Stochasticallycited by 191
- 2022FILM: Frame Interpolation for Large Motioncited by 153
- 2021Low-Light Image and Video Enhancement Using Deep Learning: A Surveycited by 148
12 most cited of 371 All 371 (JSON)
- 2026Long-horizon Video Generation with Slot Memory Addressed By Region Tokens13 Oct 2026
- 2026Super-Resolution in The Right Latent Space: A Frozen Vision-Foundation Substrate3 Oct 2026
- 2026Beyond Pointwise Error: A Multi-Metric Evaluation of Spatial Climate Downscaling1 Oct 2026
- 2026SuperMotion: Source-Preserving Denoising for Text-Driven Human Motion Editing1 Oct 2026
- 2026FANVIDv2: Evaluating Video Super-Resolution by Face and Licence-Plate Recognition Under Compound Degradation30 Sep 2026
- 2026You Cannot Recover What Was Never Measured: Quantifying the Information Ceiling of Ultra-Low-Field MRI Super-Resolution29 Sep 2026
- 2026LoCoVSR: Local Context Diffusion Posterior Sampling for Video Super-Resolution26 Sep 2026
- 2026DPAMixerSR: An Efficient Degradation-Pattern-Aware Model for Image Super-Resolution26 Sep 2026
- 2026GeoCR: Learning a Generalist Cloud Removal Prior from Heterogeneous Observations26 Sep 2026
- 2026PredRA: Fast Medical Image Translation by Deterministic Component Extraction and Controlled Stochastic Refinement25 Sep 2026
- 2026One-Step Is Optimal: Unconditional Rectified Flows are Noise2Noise Denoisers, and Multi-Step Integration Provably Hurts---A Benchmark and Task-Based Detectability Study on Low-Dose CT15 Sep 2026
- 2026Restore What Matters: Lessons from Joint Restoration and Recognition12 Sep 2026
12 newest of 371 All 371 (JSON)