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We propose a general deep plug-and-play (PnP) algorithm with a theoretical convergence guarantee. PnP strategies have demonstrated outstanding performance in various image restoration tasks by exploiting the powerful priors underlying…

Image and Video Processing · Electrical Eng. & Systems 2025-12-19 Yodai Suzuki , Ryosuke Isono , Shunsuke Ono

The utilisation of Plug-and-Play (PnP) priors in inverse problems has become increasingly prominent in recent years. This preference is based on the mathematical equivalence between the general proximal operator and the regularised…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Yanqi Cheng , Lipei Zhang , Zhenda Shen , Shujun Wang , Lequan Yu , Raymond H. Chan , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Plug-and-Play (PnP) is a non-convex optimization framework that combines proximal algorithms, for example, the alternating direction method of multipliers (ADMM), with advanced denoising priors. Over the past few years, great empirical…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Hua Huang , Carola-Bibiane Schönlieb

The recently proposed plug-and-play (PnP) framework allows leveraging recent developments in image denoising to tackle other, more involved, imaging inverse problems. In a PnP method, a black-box denoiser is plugged into an iterative…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

In this work we propose an efficient stochastic plug-and-play (PnP) algorithm for imaging inverse problems. The PnP stochastic gradient descent methods have been recently proposed and shown improved performance in some imaging applications…

Optimization and Control · Mathematics 2020-06-24 Junqi Tang , Mike Davies

Plug-and-play priors (PnP) is a methodology for regularized image reconstruction that specifies the prior through an image denoiser. While PnP algorithms are well understood for denoisers performing maximum a posteriori probability (MAP)…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Xiaojian Xu , Yu Sun , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

In recent years Plug-and-Play (PnP) methods have achieved state-of-the-art performance in inverse imaging problems by replacing proximal operators with denoisers. Based on the proximal gradient method, some theoretical results of PnP have…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Shuchang Zhang , Hongxia Wang

In plug-and-play (PnP) regularization, the knowledge of the forward model is combined with a powerful denoiser to obtain state-of-the-art image reconstructions. This is typically done by taking a proximal algorithm such as FISTA or ADMM,…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruturaj G. Gavaskar , Chirayu D. Athalye , Kunal N. Chaudhury

Bayesian methods to solve imaging inverse problems usually combine an explicit data likelihood function with a prior distribution that explicitly models expected properties of the solution. Many kinds of priors have been explored in the…

Machine Learning · Statistics 2025-02-04 Rémi Laumont , Valentin de Bortoli , Andrés Almansa , Julie Delon , Alain Durmus , Marcelo Pereyra

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

The Plug-and-Play (PnP) framework makes it possible to integrate advanced image denoising priors into optimization algorithms, to efficiently solve a variety of image restoration tasks generally formulated as Maximum A Posteriori (MAP)…

Image and Video Processing · Electrical Eng. & Systems 2023-03-07 Rita Fermanian , Mikael Le Pendu , Christine Guillemot

Plug-and-play priors (PnP) is a broadly applicable methodology for solving inverse problems by exploiting statistical priors specified as denoisers. Recent work has reported the state-of-the-art performance of PnP algorithms using…

Machine Learning · Computer Science 2021-01-25 Yu Sun , Zihui Wu , Xiaojian Xu , Brendt Wohlberg , Ulugbek S. Kamilov

In this paper, we introduce Plug-and-Play (PnP) Flow Matching, an algorithm for solving imaging inverse problems. PnP methods leverage the strength of pre-trained denoisers, often deep neural networks, by integrating them in optimization…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Ségolène Martin , Anne Gagneux , Paul Hagemann , Gabriele Steidl

In this paper, we develop a class of block-coordinate Plug-and-Play (PnP) methods to address imaging inverse problems. The block-coordinate strategy is designed to reduce the high memory consumption arising in PnP methods that rely on…

Optimization and Control · Mathematics 2026-03-03 Federica Porta , Simone Rebegoldi , Andrea Sebastiani

Plug-and-play (PnP) denoising is a popular iterative framework for solving imaging inverse problems using off-the-shelf image denoisers. Their empirical success has motivated a line of research that seeks to understand the convergence of…

Numerical Analysis · Mathematics 2023-07-19 Andreas Hauptmann , Subhadip Mukherjee , Carola-Bibiane Schönlieb , Ferdia Sherry

A standard model for image reconstruction involves the minimization of a data-fidelity term along with a regularizer, where the optimization is performed using proximal algorithms such as ISTA and ADMM. In plug-and-play (PnP)…

Optimization and Control · Mathematics 2021-04-22 Pravin Nair , Ruturaj G. Gavaskar , Kunal N. Chaudhury

In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

Optimization and Control · Mathematics 2024-11-05 Arghya Sinha , Kunal N Chaudhury

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Plug-and-play (PnP) is a non-convex framework that integrates modern denoising priors, such as BM3D or deep learning-based denoisers, into ADMM or other proximal algorithms. An advantage of PnP is that one can use pre-trained denoisers when…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ernest K. Ryu , Jialin Liu , Sicheng Wang , Xiaohan Chen , Zhangyang Wang , Wotao Yin

Plug-and-Play (PnP) methods have become standard tools for solving imaging inverse problems by replacing the intractable maximum a posteriori (MAP) denoiser with the MMSE one. While this mismatch has been widely treated as unavoidable,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Kenta Vert , Giacomo Meanti , Scott Pesme , Michael Arbel , Julien Mairal