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We propose a novel multi-layer neural network architecture that gives a promising neural network empowered optimization approach to the image restoration problem. The proposed architecture is motivated by the recent study of monotone…

最优化与控制 · 数学 2025-10-27 Haruya Shimizu , Masahiro Yukawa

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

Recent frameworks, such as the so-called plug-and-play, allow us to leverage the developments in image denoising to tackle other, and more involved, problems in image processing. As the name suggests, state-of-the-art denoisers are plugged…

计算机视觉与模式识别 · 计算机科学 2017-11-09 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

In this paper, we introduce a proximal-proximal majorization-minimization (PPMM) algorithm for nonconvex tuning-free robust regression problems. The basic idea is to apply the proximal majorization-minimization algorithm to solve the…

最优化与控制 · 数学 2021-06-28 Peipei Tang , Chengjing Wang , Bo Jiang

Plug-and-Play methods for image restoration are iterative algorithms that solve a variational problem to recover a clean image from a degraded observation. These algorithms are known to be flexible to changes of degradation and to perform…

图像与视频处理 · 电气工程与系统科学 2025-03-03 Marien Renaud , Julien Hermant , Nicolas Papadakis

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…

计算机视觉与模式识别 · 计算机科学 2026-03-26 Thibaut Modrzyk , Ane Etxebeste , Élie Bretin , Voichita Maxim

Multi-dimensional images, such as color images and multi-spectral images, are highly correlated and contain abundant spatial and spectral information. However, real-world multi-dimensional images are usually corrupted by missing entries. By…

计算机视觉与模式识别 · 计算机科学 2020-05-05 Xi-Le Zhao , Wen-Hao Xu , Tai-Xiang Jiang , Yao Wang , Michael Ng

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

Diffusion models have found extensive use in solving inverse problems, by sampling from an approximate posterior distribution of data given the measurements. Recently, consistency models (CMs) have been proposed to directly predict the…

图像与视频处理 · 电气工程与系统科学 2026-04-14 Merve Gülle , Junno Yun , Yaşar Utku Alçalar , Mehmet Akçakaya

Plug-and-play (PnP) methods for solving inverse problems have recently achieved strong performance by leveraging denoising priors based on powerful generative diffusion and flow models. However, existing diffusion- and flow-based PnP…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Hendrik Sommerhoff , Michael Moeller

We introduce a novel energy formulation for Plug- and-Play (PnP) image recovery. Traditional PnP methods that use a convolutional neural network (CNN) do not have an energy based formulation. The primary focus of this work is to introduce…

图像与视频处理 · 电气工程与系统科学 2023-02-24 Jyothi Rikabh Chand , Mathews Jacob

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

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

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…

最优化与控制 · 数学 2025-08-28 Matthieu Kowalski , Benoît Malézieux , Thomas Moreau , Audrey Repetti

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…

计算机视觉与模式识别 · 计算机科学 2025-09-12 Xiaodong Wang , Ping Wang , Zhangyuan Li , Xin Yuan

Fast data acquisition in Magnetic Resonance Imaging (MRI) is vastly in demand and scan time directly depends on the number of acquired k-space samples. Conventional MRI reconstruction methods for fast MRI acquisition mostly relied on…

图像与视频处理 · 电气工程与系统科学 2019-09-10 Ali Pour Yazdanpanah , Onur Afacan , Simon K. Warfield

Cardiac magnetic resonance imaging (CMR) is a noninvasive imaging modality that provides a comprehensive evaluation of the cardiovascular system. The clinical utility of CMR is hampered by long acquisition times, however. In this work, we…

图像与视频处理 · 电气工程与系统科学 2020-07-10 Sizhuo Liu , Edward Reehorst , Philip Schniter , Rizwan Ahmad

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

Recent work has shown the effectiveness of the plug-and-play priors (PnP) framework for regularized image reconstruction. However, the performance of PnP depends on the quality of the denoisers used as priors. In this letter, we design a…

图像与视频处理 · 电气工程与系统科学 2020-04-22 Guangxiao Song , Yu Sun , Jiaming Liu , Zhijie Wang , Ulugbek S. Kamilov

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