mlsanityData to 14 Oct 2026

Provably Convergent Plug & Play Linearized ADMM, applied to Deblurring Spatially Varying Kernels

arXiv 2210.10605 ↗First posted 19 Oct 2022cs.CV math.OC stat.APcited by 2

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Abstract (arXiv)

Plug & Play methods combine proximal algorithms with denoiser priors to solve inverse problems. These methods rely on the computability of the proximal operator of the data fidelity term. In this paper, we propose a Plug & Play framework based on linearized ADMM that allows us to bypass the computation of intractable proximal operators. We demonstrate the convergence of the algorithm and provide results on restoration tasks such as super-resolution and deblurring with non-uniform blur.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 16 of its 32 references that are in the map. First posted on arXiv 19 Oct 2022.

Builds on

16 of 32 references.

References · 16

  1. 2014Microsoft COCO: Common Objects in Contextcited by 17,608
  2. 2020Plug-and-Play Image Restoration with Deep Denoiser Priorcited by 470
  3. 2016The Little Engine that Could: Regularization by Denoising (RED)cited by 307
  4. 2016Plug-and-Play ADMM for Image Restoration: Fixed Point Convergence and Applicationscited by 246
  5. 2019Plug-and-Play Methods Provably Converge with Properly Trained Denoiserscited by 198
  6. 2017Learning Proximal Operators: Using Denoising Networks for Regularizing Inverse Imaging Problemscited by 107
  7. 2022Proximal Denoiser for Convergent Plug-and-Play Optimization with Nonconvex Regularizationcited by 80
  8. 2019Plug and play methods for magnetic resonance imaging (long version)cited by 75
  9. 2020Provable Convergence of Plug-and-Play Priors with MMSE denoiserscited by 39
  10. 2022On Maximum-a-Posteriori estimation with Plug & Play priors and stochastic gradient descentcited by 14
  11. 2017Linearized ADMM for Non-convex Non-smooth Optimization with Convergence Analysiscited by 12
  12. 2020Plug-and-play ISTA converges with kernel denoiserscited by 12
4 more
  1. 2015Fast Single Image Super-Resolutioncited by 10
  2. 2021Non-uniform Blur Kernel Estimation via Adaptive Basis Decompositioncited by 10
  3. 2022Deep Model-Based Super-Resolution with Non-uniform Blurcited by 10
  4. 2013Image restoration using sparse approximations of spatially varying blur operators in the wavelet domaincited by 2

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Citing papers per year: 2024: 1; 2025: 1.

2 papers.

  1. 2024Learning pseudo-contractive denoisers for inverse problemscited by 6
  2. 2025Learning Cocoercive Conservative Denoisers via Helmholtz Decomposition for Poisson Inverse Problemscited by 4