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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.,…

最优化与控制 · 数学 2021-06-30 Abinash Nayak

The use of Plug-and-Play (PnP) methods has become a central approach for solving inverse problems, with denoisers serving as regularising priors that guide optimisation towards a clean solution. In this work, we introduce KAN-PnP, an…

计算机视觉与模式识别 · 计算机科学 2025-05-05 Yanqi Cheng , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

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

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

Plug-and-Play optimization recently emerged as a powerful technique for solving inverse problems by plugging a denoiser into a classical optimization algorithm. The denoiser accounts for the regularization and therefore implicitly…

图像与视频处理 · 电气工程与系统科学 2021-10-04 Mikael Le Pendu , Christine Guillemot

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…

计算机视觉与模式识别 · 计算机科学 2018-10-12 Tom Tirer , Raja Giryes

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

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

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…

最优化与控制 · 数学 2023-11-14 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Carola-Bibiane Schönlieb

We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the…

计算机视觉与模式识别 · 计算机科学 2019-09-23 Yu Sun , Jiaming Liu , Ulugbek S. Kamilov

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…

图像与视频处理 · 电气工程与系统科学 2024-03-15 Okyanus Oral , Figen S. Oktem

Plug-and-Play (PnP) priors is a widely-used family of methods for solving imaging inverse problems by integrating physical measurement models with image priors specified using image denoisers. PnP methods have been shown to achieve…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Shirin Shoushtari , Jiaming Liu , Edward P. Chandler , M. Salman Asif , Ulugbek S. Kamilov

The vast majority of image recovery tasks are ill-posed problems. As such, methods that are based on optimization use cost functions that consist of both fidelity and prior (regularization) terms. A recent line of works imposes the prior by…

图像与视频处理 · 电气工程与系统科学 2021-01-28 Einav Yogev-Ofer , Tom Tirer , Raja Giryes

Regularization by denoising (RED) is an image reconstruction framework that uses an image denoiser as a prior. Recent work has shown the state-of-the-art performance of RED with learned denoisers corresponding to pre-trained convolutional…

图像与视频处理 · 电气工程与系统科学 2020-10-28 Jiaming Liu , Yu Sun , Cihat Eldeniz , Weijie Gan , Hongyu An , Ulugbek S. Kamilov

Existing physical model-based imaging methods for ultrasound elasticity reconstruction utilize fixed variational regularizers that may not be appropriate for the application of interest or may not capture complex spatial prior information…

图像与视频处理 · 电气工程与系统科学 2021-03-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

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…

信息论 · 计算机科学 2020-12-03 Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

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…

图像与视频处理 · 电气工程与系统科学 2020-01-08 Ruturaj G. Gavaskar , Kunal N. Chaudhury

In this work, we provide a new convergence theory for plug-and-play proximal gradient descent (PnP-PGD) under prior mismatch where the denoiser is trained on a different data distribution to the inference task at hand. To the best of our…

机器学习 · 计算机科学 2026-01-29 Guixian Xu , Jinglai Li , Junqi Tang

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…

图像与视频处理 · 电气工程与系统科学 2022-11-15 Yutong Li , Yuping Duan

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic tool that provides excellent soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging modalities (e.g., CT or ultrasound), however, the data…

计算机视觉与模式识别 · 计算机科学 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter