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Plug and Play (PnP) methods achieve remarkable results in the framework of image restoration problems for Gaussian data. Nonetheless, the theory available for the Gaussian case cannot be extended to the Poisson case, due to the…

数值分析 · 数学 2025-10-20 Alessandro Benfenati

It is known that the minimum-mean-squared-error (MMSE) denoiser under Gaussian noise can be written as a proximal operator, which suffices for asymptotic convergence of plug-and-play (PnP) methods but does not reveal the structure of the…

最优化与控制 · 数学 2026-04-06 Henry Pritchard , Rahul Parhi

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…

图像与视频处理 · 电气工程与系统科学 2025-11-14 Marien Renaud , Eliot Guez , Arthur Leclaire , Nicolas Papadakis

Poisson-Gaussian noise describes the noise of various imaging systems thus the need of efficient algorithms for Poisson-Gaussian image restoration. Deep learning methods offer state-of-the-art performance but often require sensor-specific…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

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…

最优化与控制 · 数学 2024-11-19 Arghya Sinha , Kunal N. Chaudhury

Plug-and-Play diffusion prior (PnPDP) frameworks have emerged as a powerful paradigm for solving imaging inverse problems by treating pretrained generative models as modular priors. However, we identify a critical flaw in prevailing PnP…

计算机视觉与模式识别 · 计算机科学 2026-02-27 Chenhe Du , Xuanyu Tian , Qing Wu , Muyu Liu , Jingyi Yu , Hongjiang Wei , Yuyao Zhang

The past few years have seen a surge of activity around integration of deep learning networks and optimization algorithms for solving inverse problems. Recent work on plug-and-play priors (PnP), regularization by denoising (RED), and deep…

图像与视频处理 · 电气工程与系统科学 2022-02-08 Abdullah H. Al-Shabili , Xiaojian Xu , Ivan Selesnick , Ulugbek S. Kamilov

Since the seminal work of Venkatakrishnan et al. in 2013, Plug & Play (PnP) methods have become ubiquitous in Bayesian imaging. These methods derive Minimum Mean Square Error (MMSE) or Maximum A Posteriori (MAP) estimators for inverse…

统计方法学 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

We propose a new approach for large-scale high-dynamic range computational imaging. Deep Neural Networks (DNNs) trained end-to-end can solve linear inverse imaging problems almost instantaneously. While unfolded architectures provide…

天体物理仪器与方法 · 物理学 2023-09-28 Amir Aghabiglou , Matthieu Terris , Adrian Jackson , Yves Wiaux

Plug-and-play (PnP) methods are extensively used for solving imaging inverse problems by integrating physical measurement models with pre-trained deep denoisers as priors. Score-based diffusion models (SBMs) have recently emerged as a…

图像与视频处理 · 电气工程与系统科学 2025-10-06 Chicago Y. Park , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

Image restoration is typically addressed through non-convex inverse problems, which are often solved using first-order block-wise splitting methods. In this paper, we consider a general type of non-convex optimisation model that captures…

In compressed sensing (CS) MRI, model-based methods are pivotal to achieving accurate reconstruction. One of the main challenges in model-based methods is finding an effective prior to describe the statistical distribution of the target…

图像与视频处理 · 电气工程与系统科学 2025-10-21 Tao Hong , Zhaoyi Xu , Se Young Chun , Luis Hernandez-Garcia , Jeffrey A. Fessler

Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving constrained optimization problems in image restoration. Among many useful features, one critical feature of the ADMM algorithm is its modular structure…

计算机视觉与模式识别 · 计算机科学 2016-11-14 Stanley H. Chan , Xiran Wang , Omar A. Elgendy

Plug-and-play denoisers can be used to perform generic image restoration tasks independent of the degradation type. These methods build on the fact that the Maximum a Posteriori (MAP) optimization can be solved using smaller sub-problems,…

图像与视频处理 · 电气工程与系统科学 2019-12-23 Siavash Bigdeli , David Honzátko , Sabine Süsstrunk , L. Andrea Dunbar

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

计算机视觉与模式识别 · 计算机科学 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

While score-based generative models have emerged as powerful priors for solving inverse problems, directly integrating them into optimization algorithms such as ADMM remains nontrivial. Two central challenges arise: i) the mismatch between…

机器学习 · 计算机科学 2026-05-13 Rajesh Shrestha , Xiao Fu

Plug-and-play (PnP) methods that employ application-specific denoisers have been proposed to solve inverse problems, including MRI reconstruction. However, training application-specific denoisers is not feasible for many applications due to…

图像与视频处理 · 电气工程与系统科学 2021-10-19 Sizhuo Liu , Philip Schniter , Rizwan Ahmad

Plug-and-Play (PnP) algorithms are appealing alternatives to proximal algorithms when solving inverse imaging problems. By learning a Deep Neural Network (DNN) denoiser behaving as a proximal operator, one waives the computational…

图像与视频处理 · 电气工程与系统科学 2024-08-23 Matthieu Terris , Chao Tang , Adrian Jackson , Yves Wiaux

A common approach to solve inverse imaging problems relies on finding a maximum a posteriori (MAP) estimate of the original unknown image, by solving a minimization problem. In thiscontext, iterative proximal algorithms are widely used,…

计算机视觉与模式识别 · 计算机科学 2024-08-22 Hoang Trieu Vy Le , Audrey Repetti , Nelly Pustelnik