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Plug-and-play (PnP) method is a recent paradigm for image regularization, where the proximal operator (associated with some given regularizer) in an iterative algorithm is replaced with a powerful denoiser. Algorithmically, this involves…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Ruturaj G. Gavaskar , 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

The effectiveness of denoising-driven regularization for image reconstruction has been widely recognized. Two prominent algorithms in this area are Plug-and-Play ($\texttt{PnP}$) and Regularization-by-Denoising ($\texttt{RED}$). We consider…

Optimization and Control · Mathematics 2024-11-19 Arghya Sinha , Kunal N. Chaudhury

It is promising to solve linear inverse problems by unfolding iterative algorithms (e.g., iterative shrinkage thresholding algorithm (ISTA)) as deep neural networks (DNNs) with learnable parameters. However, existing ISTA-based unfolded…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Ziyang Zheng , Wenrui Dai , Duoduo Xue , Chenglin Li , Junni Zou , Hongkai Xiong

Deconvolution is a widely used strategy to mitigate the blurring and noisy degradation of hyperspectral images~(HSI) generated by the acquisition devices. This issue is usually addressed by solving an ill-posed inverse problem. While…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

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

Inverse problems appear in many applications, such as image deblurring and inpainting. The common approach to address them is to design a specific algorithm for each problem. The Plug-and-Play (P&P) framework, which has been recently…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Tom Tirer , Raja Giryes

The plug-and-play (PnP) method uses a deep denoiser within a proximal algorithm for model-based image reconstruction (IR). Unlike end-to-end IR, PnP allows the same pretrained denoiser to be used across different imaging tasks, without the…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Arghya Sinha , Trishit Mukherjee , Kunal N. Chaudhury

It's well-known that inverse problems are ill-posed and to solve them meaningfully, one has to employ regularization methods. Traditionally, popular regularization methods are the penalized Variational approaches. In recent years, the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Abinash Nayak

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

Optimization and Control · Mathematics 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

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

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

Plug-and-Play (PnP) methods solve ill-posed inverse problems through iterative proximal algorithms by replacing a proximal operator by a denoising operation. When applied with deep neural network denoisers, these methods have shown…

Optimization and Control · Mathematics 2022-06-22 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

Machine Learning · Statistics 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Iterative shrinkage/thresholding algorithm (ISTA) is a well-studied method for finding sparse solutions to ill-posed inverse problems. In this letter, we present a data-driven scheme for learning optimal thresholding functions for ISTA. The…

Machine Learning · Computer Science 2016-05-04 Ulugbek S. Kamilov , Hassan Mansour

We propose a novel convolutional neural network (CNN), called $\Psi$DONet, designed for learning pseudodifferential operators ($\Psi$DOs) in the context of linear inverse problems. Our starting point is the Iterative Soft Thresholding…

Optimization and Control · Mathematics 2020-06-03 Tatiana A. Bubba , Mathilde Galinier , Matti Lassas , Marco Prato , Luca Ratti , Samuli Siltanen

The linear inverse problem emerges from various real-world applications such as Image deblurring, inpainting, etc., which are still thrust research areas for image quality improvement. In this paper, we have introduced a new algorithm…

Signal Processing · Electrical Eng. & Systems 2022-11-29 Avinash Kumar , Sujit Kumar Sahoo

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

Plug-and-Play Priors (PnP) and Regularisation by Denoising (RED) have established that image denoisers can effectively replace traditional regularisers in linear inverse problem solvers for tasks like super-resolution, demosaicing, and…

Image and Video Processing · Electrical Eng. & Systems 2025-12-05 Clément Bled , François Pitié

It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, the most popular regularization approaches are Variational-type approaches, i.e.,…

Optimization and Control · Mathematics 2021-06-30 Abinash Nayak
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