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The Plug-and-Play (PnP) algorithm is popular for inverse image problem-solving. However, this algorithm lacks theoretical analysis of its convergence with more advanced plug-in denoisers. We demonstrate that discrete PnP iteration can be…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Zhongqi Wang , Bingnan Wang , Maosheng Xiang

In this work, we present new proofs of convergence for Plug-and-Play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse problems where regularization is performed by plugging a pre-trained denoiser in…

Optimization and Control · Mathematics 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

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

Recent work has shown the effectiveness of the plug-and-play priors (PnP) framework for regularized image reconstruction. However, the performance of PnP depends on the quality of the denoisers used as priors. In this letter, we design a…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Guangxiao Song , Yu Sun , Jiaming Liu , Zhijie Wang , 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

The plug-and-play priors (PnP) and regularization by denoising (RED) methods have become widely used for solving inverse problems by leveraging pre-trained deep denoisers as image priors. While the empirical imaging performance and the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Jiaming Liu , M. Salman Asif , Brendt Wohlberg , Ulugbek S. Kamilov

Plug-and-play (PnP) is a non-convex framework that combines ADMM or other proximal algorithms with advanced denoiser priors. Recently, PnP has achieved great empirical success, especially with the integration of deep learning-based…

Image and Video Processing · Electrical Eng. & Systems 2020-11-19 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Carola-Bibiane Schönlieb , Hua Huang

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 a class of efficient iterative methods that aim to combine data fidelity terms and deep denoisers using classical optimization algorithms, such as ISTA or ADMM, with applications in inverse problems and…

Optimization and Control · Mathematics 2023-11-14 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Carola-Bibiane Schönlieb

Plug-and-Play methods constitute a class of iterative algorithms for imaging problems where regularization is performed by an off-the-shelf denoiser. Although Plug-and-Play methods can lead to tremendous visual performance for various image…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

The Plug-and-Play (PnP) ADMM algorithm is a powerful image restoration framework that allows advanced image denoising priors to be integrated into physical forward models to generate high quality image restoration results. However, despite…

Image and Video Processing · Electrical Eng. & Systems 2019-05-21 Stanley H. Chan

The use of Plug-and-Play (PnP) methods has become a central approach for solving inverse problems, with denoisers serving as regularising priors that guide optimisation towards a clean solution. In this work, we introduce KAN-PnP, an…

Computer Vision and Pattern Recognition · Computer Science 2025-05-05 Yanqi Cheng , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

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

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

For magnetic resonance imaging (MRI), recently proposed "plug-and-play" (PnP) image recovery algorithms have shown remarkable performance. These PnP algorithms are similar to traditional iterative algorithms like FISTA, ADMM, or primal-dual…

Information Theory · Computer Science 2020-12-03 Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

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

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators. For filters of full length, we propose a stochastic gradient descent algorithm on a submanifold of the Stiefel…

Optimization and Control · Mathematics 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl

Achieving high-quality Magnetic Resonance Imaging (MRI) reconstruction at accelerated acquisition rates remains challenging due to the inherent ill-posed nature of the inverse problem. Traditional Compressed Sensing (CS) methods, while…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Pierre-Antoine Comby , Benjamin Lapostolle , Matthieu Terris , Philippe Ciuciu

This paper presents a novel deformable registration framework, leveraging an image prior specified through a denoising function, for severely noise-corrupted placental images. Recent work on plug-and-play (PnP) priors has shown the…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Jiarui Xing , Ulugbek Kamilov , Wenjie Wu , Yong Wang , Miaomiao Zhang

The Plug-and-Play (PnP) framework was recently introduced for low-dose CT reconstruction to leverage the interpretability and the flexibility of model-based methods to incorporate various plugins, such as trained deep learning (DL) neural…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Qifan Xu , Qihui Lyu , Dan Ruan , Ke Sheng