mlsanityData to 7 Oct 2026

Block Coordinate Regularization by Denoising

arXiv 1905.05113 ↗First posted 13 May 2019cs.CV eess.IVcited by 33

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Abstract (arXiv)

We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the state-of-the-art performance of estimators under such priors in a range of imaging tasks. In this work, we develop a new block coordinate RED algorithm that decomposes a large-scale estimation problem into a sequence of updates over a small subset of the unknown variables. We theoretically analyze the convergence of the algorithm and discuss its relationship to the traditional proximal optimization. Our analysis complements and extends recent theoretical results for RED-based estimation methods. We numerically validate our method using several denoiser priors, including those based on convolutional neural network (CNN) denoisers.

Key facts. Cited by 33 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 May 2019.

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Citing papers per year: 2021: 9; 2022: 9; 2023: 7; 2024: 3; 2025: 5.

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  1. 2021Gradient Step Denoiser for convergent Plug-and-Playcited by 107
  2. 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstructioncited by 73
  3. 2023Image Denoising: The Deep Learning Revolution and Beyond -- A Survey Paper --cited by 71
  4. 2021Intermediate Layer Optimization for Inverse Problems using Deep Generative Modelscited by 70
  5. 2023Provable Probabilistic Imaging using Score-Based Generative Priorscited by 51
  6. 2021Recovery Analysis for Plug-and-Play Priors using the Restricted Eigenvalue Conditioncited by 22
  7. 2022Deep Plug-and-Play Prior for Hyperspectral Image Restorationcited by 22
  8. 2021Fixed-Point and Objective Convergence of Plug-and-Play Algorithmscited by 19
  9. 2021SGD-Net: Efficient Model-Based Deep Learning with Theoretical Guaranteescited by 18
  10. 2024Plug-and-Play image restoration with Stochastic deNOising REgularizationcited by 17
  11. 2024Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisationcited by 12
  12. 2022Score-Guided Intermediate Layer Optimization: Fast Langevin Mixing for Inverse Problemscited by 11
21 more
  1. 2023EWT: Efficient Wavelet-Transformer for Single Image Denoisingcited by 11
  2. 2023Prior Mismatch and Adaptation in PnP-ADMM with a Nonconvex Convergence Analysiscited by 10
  3. 2022Bayesian Inversion for Nonlinear Imaging Models using Deep Generative Priorscited by 9
  4. 2022Deep Model-Based Architectures for Inverse Problems under Mismatched Priorscited by 8
  5. 2023Block Coordinate Plug-and-Play Methods for Blind Inverse Problemscited by 8
  6. 2025Proximal Algorithm Unrolling: Flexible and Efficient Reconstruction Networks for Single-Pixel Imagingcited by 8
  7. 2022CurvPnP: Plug-and-play Blind Image Restoration with Deep Curvature Denoisercited by 6
  8. 2022Retinex Image Enhancement Based on Sequential Decomposition With a Plug-and-Play Frameworkcited by 5
  9. 2023Convergent plug-and-play with proximal denoiser and unconstrained regularization parametercited by 5
  10. 2022A hybrid approach to seismic deblending: when physics meets self-supervisioncited by 4
  11. 2021Regularization by Denoising Sub-sampled Newton Method for Spectral CT Multi-Material Decompositioncited by 3
  12. 2022Monotonically Convergent Regularization by Denoisingcited by 3
  13. 2021Sparsest Univariate Learning Models Under Lipschitz Constraintcited by 2
  14. 2023RED-PSM: Regularization by Denoising of Factorized Low Rank Models for Dynamic Imagingcited by 2
  15. 2025RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imagingcited by 2
  16. 2025Plug-and-Play Posterior Sampling for Blind Inverse Problemscited by 2
  17. 2024Equivariant Denoisers for Image Restorationcited by 1
  18. 2025Solving Imaging Inverse Problems Using Plug-and-Play Denoisers: Regularization and Optimization Perspectivescited by 1
  19. 2021An Interpretation of Regularization by Denoising and its Application with the Back-Projected Fidelity Termcited by 0
  20. 2021Deep Iteration Assisted by Multi-level Obey-pixel Network Discriminator (DIAMOND) for Medical Image Recoverycited by 0
  21. 2025Enhanced Denoising and Convergent Regularisation Using Tweedie Scalingcited by 0