Deep Mean-Shift Priors for Image Restoration
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Abstract (arXiv)
In this paper we introduce a natural image prior that directly represents a Gaussian-smoothed version of the natural image distribution. We include our prior in a formulation of image restoration as a Bayes estimator that also allows us to solve noise-blind image restoration problems. We show that the gradient of our prior corresponds to the mean-shift vector on the natural image distribution. In addition, we learn the mean-shift vector field using denoising autoencoders, and use it in a gradient descent approach to perform Bayes risk minimization. We demonstrate competitive results for noise-blind deblurring, super-resolution, and demosaicing.
Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Sep 2017.
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Citing papers per year: 2021: 13; 2022: 5; 2023: 8; 2024: 4; 2025: 3; 2026: 1.
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- 2021GAN Inversion: A Surveycited by 366
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
- 2021SNIPS: Solving Noisy Inverse Problems Stochasticallycited by 191
- 2021Gradient Step Denoiser for convergent Plug-and-Playcited by 107
- 2021Bayesian imaging using Plug & Play priors: when Langevin meets Tweediecited by 96
- 2022Deep Image Deblurring: A Surveycited by 94
- 2023Monte Carlo guided Diffusion for Bayesian linear inverse problemscited by 65
- 2023Provable Probabilistic Imaging using Score-Based Generative Priorscited by 51
- 2021DWDN: Deep Wiener Deconvolution Network for Non-Blind Image Deblurringcited by 36
- 2021Blind Image Super-resolution with Elaborate Degradation Modeling on Noise and Kernelcited by 27
- 2021Solving Inverse Problems by Joint Posterior Maximization with Autoencoding Priorcited by 24
- 2022ADIR: Adaptive Diffusion for Image Reconstructioncited by 20
22 more
- 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithmscited by 19
- 2021Learning local regularization for variational image restorationcited by 16
- 2023Provably Convergent Plug-and-Play Quasi-Newton Methodscited by 15
- 2023HQ-50K: A Large-scale, High-quality Dataset for Image Restorationcited by 15
- 2022Bayesian Image Super-Resolution with Deep Modeling of Image Statisticscited by 11
- 2023Prior Mismatch and Adaptation in PnP-ADMM with a Nonconvex Convergence Analysiscited by 10
- 2021MeanShift++: Extremely Fast Mode-Seeking With Applications to Segmentation and Object Trackingcited by 9
- 2023A Dive into SAM Prior in Image Restorationcited by 9
- 2024Deep learning in motion deblurring: current status, benchmarks and future prospectscited by 5
- 2023CrossZoom: Simultaneously Motion Deblurring and Event Super-Resolvingcited by 4
- 2022GridShift: A Faster Mode-seeking Algorithm for Image Segmentation and Object Trackingcited by 3
- 2023Bayesian ECG reconstruction using denoising diffusion generative modelscited by 2
- 2025Real-World Adverse Weather Image Restoration via Dual-Level Reinforcement Learning with High-Quality Cold Startcited by 2
- 2021Learning Discriminative Shrinkage Deep Networks for Image Deconvolutioncited by 1
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overviewcited by 1
- 2025MAP-based Problem-Agnostic diffusion model for Inverse Problemscited by 1
- 2025Moir'eXNet: Adaptive Multi-Scale Demoir'eing with Linear Attention Test-Time Training and Truncated Flow Matching Priorcited by 1
- 2026The Third Challenge on Image Denoising at NTIRE 2026: Methods and Resultscited by 1
- 2021An Interpretation of Regularization by Denoising and its Application with the Back-Projected Fidelity Termcited by 0
- 2022Incomplete Gamma Kernels: Generalizing Locally Optimal Projection Operatorscited by 0
- 2024Deep Learning CT Image Restoration using System Blur and Noise Modelscited by 0
- 2024Multi-scale Frequency Enhancement Network for Blind Image Deblurringcited by 0
- 2026The Third Challenge on Image Denoising at NTIRE 2026: Methods and Results14 Jun 2026
- 2025Real-World Adverse Weather Image Restoration via Dual-Level Reinforcement Learning with High-Quality Cold Start7 Nov 2025
- 2025Moir'eXNet: Adaptive Multi-Scale Demoir'eing with Linear Attention Test-Time Training and Truncated Flow Matching Prior19 Jun 2025
- 2025MAP-based Problem-Agnostic diffusion model for Inverse Problems25 Jan 2025
- 2024Multi-scale Frequency Enhancement Network for Blind Image Deblurring11 Nov 2024
- 2024Deep Learning CT Image Restoration using System Blur and Noise Models20 Jul 2024
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overview19 Feb 2024
- 2024Deep learning in motion deblurring: current status, benchmarks and future prospects10 Jan 2024
- 2023Bayesian ECG reconstruction using denoising diffusion generative models18 Dec 2023
- 2023Provable Probabilistic Imaging using Score-Based Generative Priors16 Oct 2023
- 2023Prior Mismatch and Adaptation in PnP-ADMM with a Nonconvex Convergence Analysis29 Sep 2023
- 2023CrossZoom: Simultaneously Motion Deblurring and Event Super-Resolving29 Sep 2023
22 more
- 2023Monte Carlo guided Diffusion for Bayesian linear inverse problems15 Aug 2023
- 2023HQ-50K: A Large-scale, High-quality Dataset for Image Restoration8 Jun 2023
- 2023A Dive into SAM Prior in Image Restoration23 May 2023
- 2023Provably Convergent Plug-and-Play Quasi-Newton Methods9 Mar 2023
- 2022ADIR: Adaptive Diffusion for Image Reconstruction6 Dec 2022
- 2022GridShift: A Faster Mode-seeking Algorithm for Image Segmentation and Object Tracking5 Jun 2022
- 2022Incomplete Gamma Kernels: Generalizing Locally Optimal Projection Operators2 May 2022
- 2022Bayesian Image Super-Resolution with Deep Modeling of Image Statistics31 Mar 2022
- 2022Deep Image Deblurring: A Survey26 Jan 2022
- 2021Learning Discriminative Shrinkage Deep Networks for Image Deconvolution27 Nov 2021
- 2021Gradient Step Denoiser for convergent Plug-and-Play7 Oct 2021
- 2021Blind Image Super-resolution with Elaborate Degradation Modeling on Noise and Kernel2 Jul 2021
- 2021SNIPS: Solving Noisy Inverse Problems Stochastically31 May 2021
- 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithms21 Apr 2021
- 2021MeanShift++: Extremely Fast Mode-Seeking With Applications to Segmentation and Object Tracking1 Apr 2021
- 2021Learning to Optimize: A Primer and A Benchmark23 Mar 2021
- 2021DWDN: Deep Wiener Deconvolution Network for Non-Blind Image Deblurring18 Mar 2021
- 2021Bayesian imaging using Plug & Play priors: when Langevin meets Tweedie8 Mar 2021
- 2021Solving Inverse Problems by Joint Posterior Maximization with Autoencoding Prior2 Mar 2021
- 2021Learning local regularization for variational image restoration11 Feb 2021
- 2021An Interpretation of Regularization by Denoising and its Application with the Back-Projected Fidelity Term27 Jan 2021
- 2021GAN Inversion: A Survey14 Jan 2021
- 2023Monte Carlo guided Diffusion for Bayesian linear inverse problemscited by 65
- 2022ADIR: Adaptive Diffusion for Image Reconstructioncited by 20
- 2023Bayesian ECG reconstruction using denoising diffusion generative modelscited by 2
- 2025MAP-based Problem-Agnostic diffusion model for Inverse Problemscited by 1
- 2025Moir'eXNet: Adaptive Multi-Scale Demoir'eing with Linear Attention Test-Time Training and Truncated Flow Matching Priorcited by 1
- 2025Moir'eXNet: Adaptive Multi-Scale Demoir'eing with Linear Attention Test-Time Training and Truncated Flow Matching Prior19 Jun 2025
- 2025MAP-based Problem-Agnostic diffusion model for Inverse Problems25 Jan 2025
- 2023Bayesian ECG reconstruction using denoising diffusion generative models18 Dec 2023
- 2023Monte Carlo guided Diffusion for Bayesian linear inverse problems15 Aug 2023
- 2022ADIR: Adaptive Diffusion for Image Reconstruction6 Dec 2022
- 2021GAN Inversion: A Surveycited by 366
- 2021Learning to Optimize: A Primer and A Benchmarkcited by 206
- 2021SNIPS: Solving Noisy Inverse Problems Stochasticallycited by 191
- 2021Gradient Step Denoiser for convergent Plug-and-Playcited by 107
- 2021Bayesian imaging using Plug & Play priors: when Langevin meets Tweediecited by 96
- 2022Deep Image Deblurring: A Surveycited by 94
- 2023Provable Probabilistic Imaging using Score-Based Generative Priorscited by 51
- 2021DWDN: Deep Wiener Deconvolution Network for Non-Blind Image Deblurringcited by 36
- 2021Blind Image Super-resolution with Elaborate Degradation Modeling on Noise and Kernelcited by 27
- 2021Solving Inverse Problems by Joint Posterior Maximization with Autoencoding Priorcited by 24
- 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithmscited by 19
- 2021Learning local regularization for variational image restorationcited by 16
12 most cited of 29 All 29 (JSON)
- 2026The Third Challenge on Image Denoising at NTIRE 2026: Methods and Results14 Jun 2026
- 2025Real-World Adverse Weather Image Restoration via Dual-Level Reinforcement Learning with High-Quality Cold Start7 Nov 2025
- 2024Multi-scale Frequency Enhancement Network for Blind Image Deblurring11 Nov 2024
- 2024Deep Learning CT Image Restoration using System Blur and Noise Models20 Jul 2024
- 2024Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overview19 Feb 2024
- 2024Deep learning in motion deblurring: current status, benchmarks and future prospects10 Jan 2024
- 2023Provable Probabilistic Imaging using Score-Based Generative Priors16 Oct 2023
- 2023Prior Mismatch and Adaptation in PnP-ADMM with a Nonconvex Convergence Analysis29 Sep 2023
- 2023CrossZoom: Simultaneously Motion Deblurring and Event Super-Resolving29 Sep 2023
- 2023HQ-50K: A Large-scale, High-quality Dataset for Image Restoration8 Jun 2023
- 2023A Dive into SAM Prior in Image Restoration23 May 2023
- 2023Provably Convergent Plug-and-Play Quasi-Newton Methods9 Mar 2023
12 newest of 29 All 29 (JSON)