DeepRED: Deep Image Prior Powered by RED
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Abstract (arXiv)
Inverse problems in imaging are extensively studied, with a variety of strategies, tools, and theory that have been accumulated over the years. Recently, this field has been immensely influenced by the emergence of deep-learning techniques. One such contribution, which is the focus of this paper, is the Deep Image Prior (DIP) work by Ulyanov, Vedaldi, and Lempitsky (2018). DIP offers a new approach towards the regularization of inverse problems, obtained by forcing the recovered image to be synthesized from a given deep architecture. While DIP has been shown to be quite an effective unsupervised approach, its results still fall short when compared to state-of-the-art alternatives. In this work, we aim to boost DIP by adding an explicit prior, which enriches the overall regularization effect in order to lead to better-recovered images. More specifically, we propose to bring-in the concept of Regularization by Denoising (RED), which leverages existing denoisers for regularizing inverse problems. Our work shows how the two (DIP and RED) can be merged into a highly effective unsupervised recovery process while avoiding the need to differentiate the chosen denoiser, and leading to very effective results, demonstrated for several tested problems.
Key facts. Cited by 85 papers in the map (data through 14 Oct 2026). First posted on arXiv 25 Mar 2019.
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Citing papers per year: 2021: 21; 2022: 11; 2023: 22; 2024: 15; 2025: 9; 2026: 7.
85 papers.
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- 2022Denoising Diffusion Restoration Modelscited by 963
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 208
- 2023Solving Linear Inverse Problems Provably via Posterior Sampling with Latent Diffusion Modelscited by 157
- 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
- 2021Early Stopping for Deep Image Priorcited by 44
- 2021Rethinking Deep Image Prior for Denoisingcited by 38
- 2021On Measuring and Controlling the Spectral Bias of the Deep Image Priorcited by 36
- 2021Self-supervised Neural Networks for Spectral Snapshot Compressive Imagingcited by 35
- 2021Recovery Analysis for Plug-and-Play Priors using the Restricted Eigenvalue Conditioncited by 22
- 2022Online Deep Equilibrium Learning for Regularization by Denoisingcited by 22
- 2022ADIR: Adaptive Diffusion for Image Reconstructioncited by 20
- 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithmscited by 19
38 more
- 2021SGD-Net: Efficient Model-Based Deep Learning with Theoretical Guaranteescited by 18
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
- 2021An Educated Warm Start For Deep Image Prior-Based Micro CT Reconstructioncited by 16
- 2021Untrained Graph Neural Networks for Denoisingcited by 15
- 2023Scale-Equivariant Imaging: Self-Supervised Learning for Image Super-Resolution and Deblurringcited by 14
- 2021Untrained networks for compressive lensless photographycited by 13
- 2023Regularize implicit neural representation by itselfcited by 13
- 2021ISNAS-DIP: Image-Specific Neural Architecture Search for Deep Image Priorcited by 12
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Priorcited by 11
- 2024Analysis of Deep Image Prior and Exploiting Self-Guidance for Image Reconstructioncited by 11
- 2021Deformation-Compensated Learning for Image Reconstruction without Ground Truthcited by 9
- 2023Deep Internal Learning: Deep Learning from a Single Inputcited by 9
- 2021Image Restoration by Deep Projected GSUREcited by 8
- 2022Deep Model-Based Architectures for Inverse Problems under Mismatched Priorscited by 8
- 2023Revisiting Implicit Neural Representations in Low-Level Visioncited by 8
- 2024Makeup-Guided Facial Privacy Protection via Untrained Neural Network Priorscited by 8
- 2025A Baseline Method for Removing Invisible Image Watermarks using Deep Image Priorcited by 7
- 2026FG-OrIU: Towards Better Forgetting via Feature-Gradient Orthogonality for Incremental Unlearningcited by 6
- 2022Blind Image Deconvolution Using Variational Deep Image Priorcited by 5
- 2023Recurrent Spike-based Image Restoration under General Illuminationcited by 5
- 2024Equivariant Imaging for Self-supervised Hyperspectral Image Inpaintingcited by 5
- 2021Patch-Based Image Restoration using Expectation Propagationcited by 4
- 2023Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imagingcited by 4
- 2024Bagged Deep Image Prior for Recovering Images in the Presence of Speckle Noisecited by 4
- 2025Multilook Coherent Imaging: Theoretical Guarantees and Algorithmscited by 4
- 2022Monotonically Convergent Regularization by Denoisingcited by 3
- 2022Priors in Deep Image Restoration and Enhancement: A Surveycited by 3
- 2022PIP: Positional-encoding Image Priorcited by 3
- 2023Convergence and Recovery Guarantees of Unsupervised Neural Networks for Inverse Problemscited by 3
- 2024One-Shot Image Restorationcited by 3
- 2021Noise2Recon: Enabling Joint MRI Reconstruction and Denoising with Semi-Supervised and Self-Supervised Learningcited by 2
- 2021Wiener Guided DIP for Unsupervised Blind Image Deconvolutioncited by 2
- 2022Laplacian Pyramid-like Autoencodercited by 2
- 2022Attentional Ptycho-Tomography (APT) for three-dimensional nanoscale X-ray imaging with minimal data acquisition and computation timecited by 2
- 2023RDFNet: Regional Dynamic FISTA-Net for Spectral Snapshot Compressive Imagingcited by 2
- 2023An Unsupervised Framework for Joint MRI Super Resolution and Gibbs Artifact Removalcited by 2
- 2023Convergence Guarantees of Overparametrized Wide Deep Inverse Priorcited by 2
- 2023RED-PSM: Regularization by Denoising of Factorized Low Rank Models for Dynamic Imagingcited by 2
50 most cited of 85 All 85 (JSON)
- 2026Deeply unrolled alternating projections for phase retrieval12 Oct 2026
- 2026Pooling-Based Context Modeling for Convolution-Free Deep Image Prior3 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026Machine learning enables experimental access to photon-by-photon arrival times in scintillation detectors27 May 2026
- 2026Neural Fields for NV-Center Inverse Sensing13 May 2026
- 2026FG-OrIU: Towards Better Forgetting via Feature-Gradient Orthogonality for Incremental Unlearning20 Jan 2026
- 2026Automating Parameter Selection in Deep Image Prior for Fluorescence Microscopy Image Denoising via Similarity-Based Parameter Transfer17 Jan 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2025Diffusion Models for Solving Inverse Problems via Posterior Sampling with Piecewise Guidance22 Jul 2025
- 2025Fast Equivariant Imaging: Accelerating Unsupervised Learning and Model Adaptation via Inexact Splitting9 Jul 2025
- 2025Multilook Coherent Imaging: Theoretical Guarantees and Algorithms29 May 2025
- 2025Deep Spectral Prior26 May 2025
38 more
- 2025RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imaging13 Mar 2025
- 2025Neural Network for Blind Unmixing: a novel MatrixConv Unmixing (MCU) Approach11 Mar 2025
- 2025A Baseline Method for Removing Invisible Image Watermarks using Deep Image Prior19 Feb 2025
- 2025Self-supervised Deep Hyperspectral Inpainting with the Plug and Play and Deep Image Prior Models14 Jan 2025
- 2024Equivariant Test-Time Training with Operator Sketching for Imaging Inverse Problems8 Nov 2024
- 2024Chasing Better Deep Image Priors between Over- and Under-parameterization31 Oct 2024
- 2024Makeup-Guided Facial Privacy Protection via Untrained Neural Network Priors20 Aug 2024
- 2024Optimal Eye Surgeon: Finding Image Priors through Sparse Generators at Initialization7 Jun 2024
- 2024Untrained Neural Nets for Snapshot Compressive Imaging: Theory and Algorithms6 Jun 2024
- 2024Generalized Compressed Sensing for Image Reconstruction with Diffusion Probabilistic Models22 May 2024
- 2024One-Shot Image Restoration26 Apr 2024
- 2024Equivariant Imaging for Self-supervised Hyperspectral Image Inpainting19 Apr 2024
- 2024SDIP: Self-Reinforcement Deep Image Prior Framework for Image Processing17 Apr 2024
- 2024Deep Phase Coded Image Prior5 Apr 2024
- 2024Bagged Deep Image Prior for Recovering Images in the Presence of Speckle Noise23 Feb 2024
- 2024On normalization-equivariance properties of supervised and unsupervised denoising methods: a survey23 Feb 2024
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overview19 Feb 2024
- 2024Analysis of Deep Image Prior and Exploiting Self-Guidance for Image Reconstruction6 Feb 2024
- 2024Boosting of Implicit Neural Representation-based Image Denoiser3 Jan 2024
- 2023Scale-Equivariant Imaging: Self-Supervised Learning for Image Super-Resolution and Deblurring18 Dec 2023
- 2023Deep Internal Learning: Deep Learning from a Single Input12 Dec 2023
- 2023Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imaging15 Nov 2023
- 2023Convergence and Recovery Guarantees of Unsupervised Neural Networks for Inverse Problems21 Sep 2023
- 2023Deep Nonparametric Convexified Filtering for Computational Photography, Image Synthesis and Adversarial Defense13 Sep 2023
- 2023Regularization by Neural Style Transfer for MRI Field-Transfer Reconstruction with Limited Data21 Aug 2023
- 2023Recurrent Spike-based Image Restoration under General Illumination6 Aug 2023
- 2023Solving Linear Inverse Problems Provably via Posterior Sampling with Latent Diffusion Models2 Jul 2023
- 2023Self-supervised Deep Hyperspectral Inpainting with the Sparsity and Low-Rank Considerations13 Jun 2023
- 2023Self-Supervised Hyperspectral Inpainting with the Optimisation inspired Deep Neural Network Prior12 Jun 2023
- 2023Learning Self-Prior for Mesh Inpainting Using Self-Supervised Graph Convolutional Networks1 May 2023
- 2023The Devil is in the Upsampling: Architectural Decisions Made Simpler for Denoising with Deep Image Prior22 Apr 2023
- 2023Revisiting Implicit Neural Representations in Low-Level Vision20 Apr 2023
- 2023Accelerated deep self-supervised ptycho-laminography for three-dimensional nanoscale imaging of integrated circuits10 Apr 2023
- 2023MCDIP-ADMM: Overcoming Overfitting in DIP-based CT reconstruction8 Apr 2023
- 2023RED-PSM: Regularization by Denoising of Factorized Low Rank Models for Dynamic Imaging7 Apr 2023
- 2023Regularize implicit neural representation by itself27 Mar 2023
- 2023Convergence Guarantees of Overparametrized Wide Deep Inverse Prior20 Mar 2023
- 2023An Unsupervised Framework for Joint MRI Super Resolution and Gibbs Artifact Removal6 Feb 2023
50 newest of 85 All 85 (JSON)
- 2022Denoising Diffusion Restoration Modelscited by 963
- 2023Solving Linear Inverse Problems Provably via Posterior Sampling with Latent Diffusion Modelscited by 157
- 2022ADIR: Adaptive Diffusion for Image Reconstructioncited by 20
- 2024Generalized Compressed Sensing for Image Reconstruction with Diffusion Probabilistic Modelscited by 1
- 2025Diffusion Models for Solving Inverse Problems via Posterior Sampling with Piecewise Guidancecited by 0
- 2025Diffusion Models for Solving Inverse Problems via Posterior Sampling with Piecewise Guidance22 Jul 2025
- 2024Generalized Compressed Sensing for Image Reconstruction with Diffusion Probabilistic Models22 May 2024
- 2023Solving Linear Inverse Problems Provably via Posterior Sampling with Latent Diffusion Models2 Jul 2023
- 2022ADIR: Adaptive Diffusion for Image Reconstruction6 Dec 2022
- 2022Denoising Diffusion Restoration Models27 Jan 2022
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 208
- 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
- 2021Early Stopping for Deep Image Priorcited by 44
- 2021Rethinking Deep Image Prior for Denoisingcited by 38
- 2021On Measuring and Controlling the Spectral Bias of the Deep Image Priorcited by 36
- 2021Self-supervised Neural Networks for Spectral Snapshot Compressive Imagingcited by 35
- 2021Recovery Analysis for Plug-and-Play Priors using the Restricted Eigenvalue Conditioncited by 22
- 2022Online Deep Equilibrium Learning for Regularization by Denoisingcited by 22
- 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithmscited by 19
- 2021SGD-Net: Efficient Model-Based Deep Learning with Theoretical Guaranteescited by 18
- 2023NCP: Neural Correspondence Prior for Effective Unsupervised Shape Matchingcited by 18
- 2021An Educated Warm Start For Deep Image Prior-Based Micro CT Reconstructioncited by 16
12 most cited of 79 All 79 (JSON)
- 2026Deeply unrolled alternating projections for phase retrieval12 Oct 2026
- 2026Pooling-Based Context Modeling for Convolution-Free Deep Image Prior3 Jul 2026
- 2026A Zero-Shot Deep Image Prior Framework for Denoising and Deconvolution in Fluorescence Microscopy26 Jun 2026
- 2026Machine learning enables experimental access to photon-by-photon arrival times in scintillation detectors27 May 2026
- 2026Neural Fields for NV-Center Inverse Sensing13 May 2026
- 2026Automating Parameter Selection in Deep Image Prior for Fluorescence Microscopy Image Denoising via Similarity-Based Parameter Transfer17 Jan 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2025Fast Equivariant Imaging: Accelerating Unsupervised Learning and Model Adaptation via Inexact Splitting9 Jul 2025
- 2025Multilook Coherent Imaging: Theoretical Guarantees and Algorithms29 May 2025
- 2025Deep Spectral Prior26 May 2025
- 2025RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imaging13 Mar 2025
- 2025Neural Network for Blind Unmixing: a novel MatrixConv Unmixing (MCU) Approach11 Mar 2025
12 newest of 79 All 79 (JSON)