mlsanityData to 7 Oct 2026

Early Stopping for Deep Image Prior

arXiv 2112.06074 ↗First posted 11 Dec 2021cs.CV cs.LG eess.IVcited by 44

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Abstract (arXiv)

Deep image prior (DIP) and its variants have showed remarkable potential for solving inverse problems in computer vision, without any extra training data. Practical DIP models are often substantially overparameterized. During the fitting process, these models learn mostly the desired visual content first, and then pick up the potential modeling and observational noise, i.e., overfitting. Thus, the practicality of DIP often depends critically on good early stopping (ES) that captures the transition period. In this regard, the majority of DIP works for vision tasks only demonstrates the potential of the models -- reporting the peak performance against the ground truth, but provides no clue about how to operationally obtain near-peak performance without access to the groundtruth. In this paper, we set to break this practicality barrier of DIP, and propose an efficient ES strategy, which consistently detects near-peak performance across several vision tasks and DIP variants. Based on a simple measure of dispersion of consecutive DIP reconstructions, our ES method not only outpaces the existing ones -- which only work in very narrow domains, but also remains effective when combined with a number of methods that try to mitigate the overfitting. The code is available at https://github.com/sun-umn/Early_Stopping_for_DIP.

Key facts. Cited by 44 papers in the map (data through 7 Oct 2026). Builds on 42 of its 74 references that are in the map. First posted on arXiv 11 Dec 2021.

Builds on

42 of 74 references.

References · 42

  1. 2019Benchmarking Neural Network Robustness to Common Corruptions and Perturbationscited by 2,857
  2. 2018Neural Tangent Kernel: Convergence and Generalization in Neural Networkscited by 2,597
  3. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
  4. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,170
  5. 2017Deep Image Priorcited by 1,097
  6. 2018On Lazy Training in Differentiable Programmingcited by 671
  7. 2018fastMRI: An Open Dataset and Benchmarks for Accelerated MRIcited by 464
  8. 2017NIMA: Neural Image Assessmentcited by 387
  9. 2020Deep Learning Techniques for Inverse Problems in Imagingcited by 290
  10. 2017Computer Vision for Autonomous Vehicles: Problems, Datasets and State of the Artcited by 182
  11. 2020On the linearity of large non-linear models: when and why the tangent kernel is constantcited by 129
  12. 2018Deep Decoder: Concise Image Representations from Untrained Non-convolutional Networkscited by 120
30 more
  1. 2018"Double-DIP": Unsupervised Image Decomposition via Coupled Deep-Image-Priorscited by 114
  2. 2019Neural Blind Deconvolution Using Deep Priorscited by 113
  3. 2018Deep Geometric Prior for Surface Reconstructioncited by 110
  4. 2020Rethinking Bias-Variance Trade-off for Generalization of Neural Networkscited by 107
  5. 2019DeepRED: Deep Image Prior Powered by REDcited by 84
  6. 2019Implicit Regularization for Optimal Sparse Recoverycited by 78
  7. 2018Real-world Noisy Image Denoising: A New Benchmarkcited by 74
  8. 2018Phase Retrieval Under a Generative Priorcited by 73
  9. 2019Time-Dependent Deep Image Prior for Dynamic MRIcited by 70
  10. 2018Image Restoration using Total Variation Regularized Deep Image Priorcited by 65
  11. 2021Explore Image Deblurring via Blur Kernel Spacecited by 58
  12. 2020Computed Tomography Reconstruction Using Deep Image Prior and Learned Reconstruction Methodscited by 56
  13. 2019A Bayesian Perspective on the Deep Image Priorcited by 52
  14. 2020NTIRE 2020 Challenge on Real Image Denoising: Dataset, Methods and Resultscited by 51
  15. 2018Unsupervised Learning with Stein's Unbiased Risk Estimatorcited by 47
  16. 2018Compressed Sensing with Deep Image Prior and Learned Regularizationcited by 47
  17. 2018Blind Image Deconvolution using Deep Generative Priorscited by 40
  18. 2019Denoising and Regularization via Exploiting the Structural Bias of Convolutional Generatorscited by 40
  19. 2020Compressive sensing with un-trained neural networks: Gradient descent finds the smoothest approximationcited by 39
  20. 2021Rethinking Deep Image Prior for Denoisingcited by 38
  21. 2021On Measuring and Controlling the Spectral Bias of the Deep Image Priorcited by 36
  22. 2020Robust Recovery via Implicit Bias of Discrepant Learning Rates for Double Over-parameterizationcited by 26
  23. 2021Rank Overspecified Robust Matrix Recovery: Subgradient Method and Exact Recoverycited by 21
  24. 2021Direct PET Image Reconstruction Incorporating Deep Image Prior and a Forward Projection Modelcited by 17
  25. 2021Self-Validation: Early Stopping for Single-Instance Deep Generative Priorscited by 15
  26. 2020Combining Weighted Total Variation and Deep Image Prior for natural and medical image restoration via ADMMcited by 13
  27. 2021Direct Reconstruction of Linear Parametric Images from Dynamic PET Using Nonlocal Deep Image Priorcited by 13
  28. 2019Image Deconvolution with Deep Image and Kernel Priorscited by 4
  29. 2021Phase Retrieval using Single-Instance Deep Generative Priorcited by 4
  30. 2021Unsupervised Image Fusion Using Deep Image Priorscited by 2

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Citing papers per year: 2022: 8; 2023: 14; 2024: 5; 2025: 9; 2026: 8.

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  1. 2024DMPlug: A Plug-in Method for Solving Inverse Problems with Diffusion Modelscited by 60
  2. 2022Algorithmic Regularization in Model-free Overparametrized Asymmetric Matrix Factorizationcited by 34
  3. 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
  4. 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Priorcited by 10
  5. 2022Blind Image Deblurring with Unknown Kernel Size and Substantial Noisecited by 10
  6. 2022Practical Phase Retrieval Using Double Deep Image Priorscited by 10
  7. 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
  8. 2022A Validation Approach to Over-parameterized Matrix and Image Recoverycited by 8
  9. 2022NCVX: A General-Purpose Optimization Solver for Constrained Machine and Deep Learningcited by 7
  10. 2025A Baseline Method for Removing Invisible Image Watermarks using Deep Image Priorcited by 6
  11. 2023Detecting Reddit Users with Depression Using a Hybrid Neural Network SBERT-CNNcited by 5
  12. 2023Interpretable Deep Learning Methods for Multiview Learningcited by 5
32 more
  1. 2022PIP: Positional-encoding Image Priorcited by 3
  2. 2023Joint Demosaicing and Denoising with Double Deep Image Priorscited by 3
  3. 2023Towards Architecture-Agnostic Untrained Network Priors for Image Reconstruction with Frequency Regularizationcited by 3
  4. 2025UGoDIT: Unsupervised Group Deep Image Prior Via Transferable Weightscited by 3
  5. 2025FMPlug: Plug-In Foundation Flow-Matching Priors for Inverse Problemscited by 3
  6. 2022CNN-based Euler's Elastica Inpainting with Deep Energy and Deep Image Priorcited by 2
  7. 2023SVD-DIP: Overcoming the Overfitting Problem in DIP-based CT Reconstructioncited by 2
  8. 2024Boosting of Implicit Neural Representation-based Image Denoisercited by 2
  9. 2024Optimal Eye Surgeon: Finding Image Priors through Sparse Generators at Initializationcited by 2
  10. 2025An unsupervised method for MRI recovery: Deep image prior with structured sparsitycited by 2
  11. 2023Image Reconstruction via Deep Image Prior Subspacescited by 1
  12. 2023MCDIP-ADMM: Overcoming Overfitting in DIP-based CT reconstructioncited by 1
  13. 2023Self-Supervised Hyperspectral Inpainting with the Optimisation inspired Deep Neural Network Priorcited by 1
  14. 2023Self-supervised Deep Hyperspectral Inpainting with the Sparsity and Low-Rank Considerationscited by 1
  15. 2024Untrained Neural Nets for Snapshot Compressive Imaging: Theory and Algorithmscited by 1
  16. 2025Self-supervised Deep Hyperspectral Inpainting with the Plug and Play and Deep Image Prior Modelscited by 1
  17. 2025Data-Efficient Limited-Angle CT Using Deep Priors and Regularizationcited by 1
  18. 2025Deep Spectral Priorcited by 1
  19. 2025RINS-T: Robust Implicit Neural Solvers for Time Series Linear Inverse Problemscited by 1
  20. 2026A Stability Benchmark of Generative Regularizers for Inverse Problemscited by 1
  21. 2023Robust Autoencoders for Collective Corruption Removalcited by 0
  22. 2023Double Descent of Discrepancy: A Task-, Data-, and Model-Agnostic Phenomenoncited by 0
  23. 2023JPEG Information Regularized Deep Image Prior for Denoisingcited by 0
  24. 2024Atmospheric Turbulence Removal with Video Sequence Deep Visual Priorscited by 0
  25. 2025Saving Foundation Flow-Matching Priors for Inverse Problemscited by 0
  26. 2026Automating Parameter Selection in Deep Image Prior for Fluorescence Microscopy Image Denoising via Similarity-Based Parameter Transfercited by 0
  27. 2026CogGen: Cognitive-Load-Inspired Fully Unsupervised Deep Generative Modeling for Compressively Sampled MRI Reconstructioncited by 0
  28. 2026Exploring and Developing a Pre-Model Safeguard with Draft Modelscited by 0
  29. 2026A Principled Self-Referenced Early Stopping Approach for Deep Image Priorcited by 0
  30. 2026Geometry-Correct Diffusion Posterior Sampling with Denoiser-Pullback Curvature Guidance and Manifold-Aligned Dampingcited by 0
  31. 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopycited by 0
  32. 2026Pooling-Based Context Modeling for Convolution-Free Deep Image Priorcited by 0