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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

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

We investigate the problem of producing diverse solutions to an image super-resolution problem. From a probabilistic perspective, this can be done by sampling from the posterior distribution of an inverse problem, which requires the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Jean Prost , Antoine Houdard , Andrés Almansa , Nicolas Papadakis

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

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

Computational Physics · Physics 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

Regularization of inverse problems is of paramount importance in computational imaging. The ability of neural networks to learn efficient image representations has been recently exploited to design powerful data-driven regularizers. While…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

Plug-and-Play Priors (PnP) is a popular framework for solving imaging inverse problems by integrating learned priors in the form of denoisers trained to remove Gaussian noise from images. In standard PnP methods, the denoiser is applied…

Image and Video Processing · Electrical Eng. & Systems 2025-09-22 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

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

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

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) 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

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Typical image…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Marien Renaud , Eliot Guez , 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

Regularized optimization has been a classical approach to solving imaging inverse problems, where the regularization term enforces desirable properties of the unknown image. Recently, the integration of flow matching generative models into…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ji Li , Chao Wang

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

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

Non-uniqueness and instability are characteristic features of image reconstruction processes. As a result, it is necessary to develop regularization methods that can be used to compute reliable approximate solutions. A regularization method…

Numerical Analysis · Mathematics 2022-12-16 Andrea Ebner , Markus Haltmeier

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 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

Normalizing flows, autoregressive models, variational autoencoders (VAEs), and deep energy-based models are among competing likelihood-based frameworks for deep generative learning. Among them, VAEs have the advantage of fast and tractable…

Machine Learning · Statistics 2021-01-11 Arash Vahdat , Jan Kautz
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