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Total variation (TV) regularization is a classical tool for image denoising, but its convex $\ell_1$ formulation often leads to staircase artifacts and loss of contrast. To address these issues, we introduce the Transformed $\ell_1$ (TL1)…

图像与视频处理 · 电气工程与系统科学 2025-11-20 Nabiha Choudhury , Jianqing Jia , Yifei Lou

The alternating direction method of multipliers (ADMM) has recently sparked interest as a flexible and efficient optimization tool for imaging inverse problems, namely deconvolution and reconstruction under non-smooth convex regularization.…

最优化与控制 · 数学 2015-06-11 Mariana S. C. Almeida , Mário A. T. Figueiredo

Plug-and-play priors (PnP) is a broadly applicable methodology for solving inverse problems by exploiting statistical priors specified as denoisers. Recent work has reported the state-of-the-art performance of PnP algorithms using…

机器学习 · 计算机科学 2021-01-25 Yu Sun , Zihui Wu , Xiaojian Xu , Brendt Wohlberg , Ulugbek S. Kamilov

We propose a general framework to recover underlying images from noisy phaseless diffraction measurements based on the alternating directional method of multipliers and the plug-and-play technique. The algorithm consists of three-step…

最优化与控制 · 数学 2016-11-07 Huibin Chang , Stefano Marchesini

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

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…

图像与视频处理 · 电气工程与系统科学 2021-07-14 Kai Zhang , Yawei Li , Wangmeng Zuo , Lei Zhang , Luc Van Gool , Radu Timofte

State-space models (SSM) are common in signal processing, where Kalman smoothing (KS) methods are state-of-the-art. However, traditional KS techniques lack expressivity as they do not incorporate spatial prior information. Recently, [1]…

图像与视频处理 · 电气工程与系统科学 2026-02-16 Benjamin Hawkes , Mike Davies , Victor Elvira , Audrey Repetti

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 algorithms constitute a popular framework for solving inverse imaging problems that rely on the implicit definition of an image prior via a denoiser. These algorithms can leverage powerful pre-trained denoisers to solve a wide…

图像与视频处理 · 电气工程与系统科学 2024-05-24 Matthieu Terris , Thomas Moreau , Nelly Pustelnik , Julian Tachella

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

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.…

图像与视频处理 · 电气工程与系统科学 2025-05-22 Arghya Sinha , Bhartendu Kumar , Chirayu D. Athalye , Kunal N. Chaudhury

Since the matrix formed by nonlocal similar patches in a natural image is of low rank, the nuclear norm minimization (NNM) has been widely used in various image processing studies. Nonetheless, nuclear norm based convex surrogate of the…

计算机视觉与模式识别 · 计算机科学 2017-06-28 Zhiyuan Zha , Xinggan Zhang , Yu Wu , Qiong Wang , Lan Tang

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

信号处理 · 电气工程与系统科学 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

In this paper, we introduce Plug-and-Play (PnP) Flow Matching, an algorithm for solving imaging inverse problems. PnP methods leverage the strength of pre-trained denoisers, often deep neural networks, by integrating them in optimization…

计算机视觉与模式识别 · 计算机科学 2025-09-10 Ségolène Martin , Anne Gagneux , Paul Hagemann , Gabriele Steidl

There has been tremendous research on the design of image regularizers over the years, from simple Tikhonov and Laplacian to sophisticated sparsity and CNN-based regularizers. Coupled with a model-based loss function, these are typically…

图像与视频处理 · 电气工程与系统科学 2022-10-26 Pravin Nair , Kunal N. Chaudhury

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…

计算机视觉与模式识别 · 计算机科学 2022-02-15 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

Plug-and-Play Priors (PnP) and Regularisation by Denoising (RED) have established that image denoisers can effectively replace traditional regularisers in linear inverse problem solvers for tasks like super-resolution, demosaicing, and…

图像与视频处理 · 电气工程与系统科学 2025-12-05 Clément Bled , François Pitié

The alternating direction method of multipliers (ADMM) is a common optimization tool for solving constrained and non-differentiable problems. We provide an empirical study of the practical performance of ADMM on several nonconvex…

最优化与控制 · 数学 2016-12-13 Zheng Xu , Soham De , Mario Figueiredo , Christoph Studer , Tom Goldstein

Optical analog circuits have attracted attention as promising alternatives to traditional electronic circuits for signal processing tasks due to their potential for low-latency and low-power computations. However, implementing iterative…

图像与视频处理 · 电气工程与系统科学 2025-06-18 Taisei Kato , Ryo Hayakawa , Soma Furusawa , Kazunori Hayashi , Youji Iiguni

Plug-and-play (PnP) is a non-convex framework that combines ADMM or other proximal algorithms with advanced denoiser priors. Recently, PnP has achieved great empirical success, especially with the integration of deep learning-based…

图像与视频处理 · 电气工程与系统科学 2020-11-19 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Carola-Bibiane Schönlieb , Hua Huang