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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

In plug-and-play image restoration, the regularization is performed using powerful denoisers such as nonlocal means (NLM) or BM3D. This is done within the framework of alternating direction method of multipliers (ADMM), where the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

For image recovery problems, plug-and-play (PnP) methods have been developed that replace the proximal step in an optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network.…

Information Theory · Computer Science 2022-02-14 Saurav K Shastri , Rizwan Ahmad , Christopher A Metzler , Philip Schniter

Image restoration schemes based on the pre-trained deep models have received great attention due to their unique flexibility for solving various inverse problems. In particular, the Plug-and-Play (PnP) framework is a popular and powerful…

Image and Video Processing · Electrical Eng. & Systems 2022-07-26 Chong Wang , Rongkai Zhang , Saiprasad Ravishankar , Bihan Wen

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

Recent works on plug-and-play image restoration have shown that a denoiser can implicitly serve as the image prior for model-based methods to solve many inverse problems. Such a property induces considerable advantages for plug-and-play…

Image and Video Processing · Electrical Eng. & Systems 2021-07-14 Kai Zhang , Yawei Li , Wangmeng Zuo , Lei Zhang , Luc Van Gool , Radu Timofte

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

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

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…

To solve inverse problems, plug-and-play (PnP) methods replace the proximal step in a convex optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network (DNN). Although such methods…

Image and Video Processing · Electrical Eng. & Systems 2022-09-08 Saurav K. Shastri , Rizwan Ahmad , Christopher A. Metzler , Philip Schniter

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

In this work, we investigate hybrid PET reconstruction algorithms based on coupling a model-based variational reconstruction and the application of a separately learnt Deep Neural Network operator (DNN) in an ADMM Plug and Play framework.…

Image and Video Processing · Electrical Eng. & Systems 2023-10-09 Florent Sureau , Mahdi Latreche , Marion Savanier , Claude Comtat

Near-field radar imaging systems are used in a wide range of applications such as concealed weapon detection and medical diagnosis. In this paper, we consider the problem of reconstructing the three-dimensional (3D) complex-valued…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Okyanus Oral , Figen S. Oktem

In an inverse problem, the goal is to recover an unknown parameter (e.g., an image) that has typically undergone some lossy or noisy transformation during measurement. Recently, deep generative models, particularly diffusion models, have…

Machine Learning · Computer Science 2025-07-30 Amartya Banerjee , Xingyu Xu , Caroline Moosmüller , Harlin Lee

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

We explore the connection between Plug-and-Play (PnP) methods and Denoising Diffusion Implicit Models (DDIM) for solving ill-posed inverse problems, with a focus on single-pixel imaging. We begin by identifying key distinctions between PnP…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Xiaodong Wang , Ping Wang , Zhangyuan Li , Xin Yuan

In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

Optimization and Control · Mathematics 2024-11-05 Arghya Sinha , Kunal N Chaudhury

Plug-and-play priors (PnP) is a popular framework for regularized signal reconstruction by using advanced denoisers within an iterative algorithm. In this paper, we discuss our recent online variant of PnP that uses only a subset of…

Signal Processing · Electrical Eng. & Systems 2018-11-12 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Radio map estimation (RME), also known as spectrum cartography, aims to reconstruct the strength of radio interference across different domains (e.g., space and frequency) from sparsely sampled measurements. To tackle this typical inverse…

Signal Processing · Electrical Eng. & Systems 2025-06-27 Le Xu , Lei Cheng , Junting Chen , Wenqiang Pu , Xiao Fu

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…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov