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This paper studies plug-and-play (PnP) Langevin sampling strategies for Bayesian inference in low-photon Poisson imaging problems, a challenging class of problems with significant applications in astronomy, medicine, and biology. PnP…

Computation · Statistics 2026-01-12 Teresa Klatzer , Savvas Melidonis , Marcelo Pereyra , Konstantinos C. Zygalakis

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

Over the past decade, Plug-and-Play (PnP) has become a popular method for reconstructing images using a modular framework consisting of a forward and prior model. The great strength of PnP is that an image denoiser can be used as a prior…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Charles A. Bouman , Gregery T. Buzzard

This paper introduces a new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme based on a recently proposed denoiser using the Schroedinger equation's solutions of quantum physics. The efficiency of the proposed…

Image and Video Processing · Electrical Eng. & Systems 2021-05-11 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

A new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme is proposed in this paper, by embedding a recently introduced adaptive denoiser using the Schroedinger equation's solutions of quantum physics. The potential of…

Image and Video Processing · Electrical Eng. & Systems 2021-10-22 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

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

Due to the development of deep learning-based denoisers, the plug-and-play strategy has achieved great success in image restoration problems. However, existing plug-and-play image restoration methods are designed for non-blind Gaussian…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Yutong Li , Yuping Duan

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) 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

Imaging tasks are typically tackled using a structured optimization framework. This paper delves into a class of algorithms for difference-of-convex (DC) structured optimization, focusing on minimizing a DC function along with a possibly…

Optimization and Control · Mathematics 2024-09-19 Tsz Ching Chow , Chaoyan Huang , Zhongming Wu , Tieyong Zeng , Angelica I. Aviles-Rivero

In this work we study the behavior of the forward-backward (FB) algorithm when the proximity operator is replaced by a sub-iterative procedure to approximate a Gaussian denoiser, in a Plug-and-Play (PnP) fashion. In particular, we consider…

Optimization and Control · Mathematics 2025-08-28 Matthieu Kowalski , Benoît Malézieux , Thomas Moreau , Audrey Repetti

We introduce Blind Plug-and-Play Diffusion Models (Blind-PnPDM) as a novel framework for solving blind inverse problems where both the target image and the measurement operator are unknown. Unlike conventional methods that rely on explicit…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Anqi Li , Weijie Gan , Ulugbek S. Kamilov

In plug-and-play (PnP) regularization, the proximal operator in algorithms such as ISTA and ADMM is replaced by a powerful denoiser. This formal substitution works surprisingly well in practice. In fact, PnP has been shown to give…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Chirayu D. Athalye , Kunal N. Chaudhury , Bhartendu Kumar

The Anscombe transform offers an approximate conversion of a Poisson random variable into a Gaussian one. This transform is important and appealing, as it is easy to compute, and becomes handy in various inverse problems with Poisson noise…

Computer Vision and Pattern Recognition · Computer Science 2015-11-10 Arie Rond , Raja Giryes , Michael Elad

In a great number of tasks in science and engineering, the goal is to infer an unknown image from a small number of measurements collected from a known forward model describing certain sensing or imaging modality. Due to resource…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Xingyu Xu , Yuejie Chi

In this paper, we present a novel variational plug-and-play algorithm for Poisson inverse problems. Our approach minimizes an explicit functional which is the sum of a Kullback-Leibler data fidelity term and a regularization term based on a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Thibaut Modrzyk , Ane Etxebeste , Élie Bretin , Voichita Maxim

The use of denoisers for image reconstruction has shown significant potential, especially for the Plug-and-Play (PnP) framework. In PnP, a powerful denoiser is used as an implicit regularizer in proximal algorithms such as ISTA and ADMM.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Arghya Sinha , Bhartendu Kumar , Chirayu D. Athalye , Kunal N. Chaudhury

Plug-and-Play Priors (PnP) is one of the most widely-used frameworks for solving computational imaging problems through the integration of physical models and learned models. PnP leverages high-fidelity physical sensor models and powerful…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Ulugbek S. Kamilov , Charles A. Bouman , Gregery T. Buzzard , Brendt Wohlberg

This paper presents a novel method for restoring digital videos via a Deep Plug-and-Play (PnP) approach. Under a Bayesian formalism, the method consists in using a deep convolutional denoising network in place of the proximal operator of…

Image and Video Processing · Electrical Eng. & Systems 2022-09-16 Antoine Monod , Julie Delon , Matias Tassano , Andrés Almansa

In most state-of-the-art image restoration methods, the sum of a data-fidelity and a regularization term is optimized using an iterative algorithm such as ADMM (alternating direction method of multipliers). In recent years, the possibility…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Ruturaj G. Gavaskar , Kunal N. Chaudhury