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We propose a state-of-the-art method for super-resolution with non-uniform blur. Single-image super-resolution methods seek to restore a high-resolution image from blurred, subsampled, and noisy measurements. Despite their impressive…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Charles Laroche , Andrés Almansa , Matias Tassano

We propose a new bundle-based augmented Lagrangian framework for solving constrained convex problems. Unlike the classical (inexact) augmented Lagrangian method (ALM) that has a nested double-loop structure, our framework features a…

最优化与控制 · 数学 2025-02-14 Feng-Yi Liao , Yang Zheng

In this paper, we consider a proximal linearized alternating direction method of multipliers (PL-ADMM) for solving linearly constrained nonconvex and possibly nonsmooth optimization problems. The algorithm is generalized by using variable…

最优化与控制 · 数学 2021-07-06 Maryam Yashtini

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

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

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.…

信息论 · 计算机科学 2022-02-14 Saurav K Shastri , Rizwan Ahmad , Christopher A Metzler , Philip Schniter

Removing optical and atmospheric blur from galaxy images significantly improves galaxy shape measurements for weak gravitational lensing and galaxy evolution studies. This ill-posed linear inverse problem is usually solved with…

天体物理仪器与方法 · 物理学 2023-03-29 Tianao Li , Emma Alexander

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

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 Priors (PnP) is one of the most widely-used frameworks for solving computational imaging problems through the integration of physical models and learned models. PnP leverages high-fidelity physical sensor models and powerful…

图像与视频处理 · 电气工程与系统科学 2023-01-18 Ulugbek S. Kamilov , Charles A. Bouman , Gregery T. Buzzard , Brendt Wohlberg

This paper introduces a new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme based on a recently proposed denoiser using the Schroedinger equation's solutions of quantum physics. The efficiency of the proposed…

图像与视频处理 · 电气工程与系统科学 2021-05-11 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

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

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

Regularized optimization has been a classical approach to solving imaging inverse problems, where the regularization term enforces desirable properties of the unknown image. Recently, the integration of flow matching generative models into…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Ji Li , Chao Wang

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

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

We introduce Blind Plug-and-Play Diffusion Models (Blind-PnPDM) as a novel framework for solving blind inverse problems where both the target image and the measurement operator are unknown. Unlike conventional methods that rely on explicit…

图像与视频处理 · 电气工程与系统科学 2025-05-30 Anqi Li , Weijie Gan , Ulugbek S. Kamilov

We investigate the local linear convergence properties of the Alternating Direction Method of Multipliers (ADMM) when applied to Semidefinite Programming (SDP). A longstanding belief suggests that ADMM is only capable of solving SDPs to…

最优化与控制 · 数学 2026-05-19 Shucheng Kang , Xin Jiang , Heng Yang

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