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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

The difference-of-convex (DC) program is an important model in nonconvex optimization due to its structure, which encompasses a wide range of practical applications. In this paper, we aim to tackle a generalized class of DC programs, where…

最优化与控制 · 数学 2025-05-29 Tan Nhat Pham , Minh N. Dao , Nima Amjady , Rakibuzzaman Shah

Plug-and-Play (PnP) is a non-convex optimization framework that combines proximal algorithms, for example, the alternating direction method of multipliers (ADMM), with advanced denoising priors. Over the past few years, great empirical…

计算机视觉与模式识别 · 计算机科学 2021-09-21 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Hua Huang , Carola-Bibiane Schönlieb

A standard model for image reconstruction involves the minimization of a data-fidelity term along with a regularizer, where the optimization is performed using proximal algorithms such as ISTA and ADMM. In plug-and-play (PnP)…

最优化与控制 · 数学 2021-04-22 Pravin Nair , Ruturaj G. Gavaskar , Kunal N. Chaudhury

Plug-and-Play (PnP) methods are efficient iterative algorithms for solving ill-posed image inverse problems. PnP methods are obtained by using deep Gaussian denoisers instead of the proximal operator or the gradient-descent step within…

图像与视频处理 · 电气工程与系统科学 2023-06-07 Samuel Hurault , Ulugbek Kamilov , Arthur Leclaire , Nicolas Papadakis

Plug-and-play (PnP) is a non-convex framework that integrates modern denoising priors, such as BM3D or deep learning-based denoisers, into ADMM or other proximal algorithms. An advantage of PnP is that one can use pre-trained denoisers when…

计算机视觉与模式识别 · 计算机科学 2019-05-15 Ernest K. Ryu , Jialin Liu , Sicheng Wang , Xiaohan Chen , Zhangyang Wang , Wotao Yin

The plug-and-play priors (PnP) and regularization by denoising (RED) methods have become widely used for solving inverse problems by leveraging pre-trained deep denoisers as image priors. While the empirical imaging performance and the…

计算机视觉与模式识别 · 计算机科学 2021-10-27 Jiaming Liu , M. Salman Asif , Brendt Wohlberg , Ulugbek S. Kamilov

Ptychography is a coherent diffraction imaging method that uses phase retrieval techniques to reconstruct complex-valued images. It achieves this by sequentially illuminating overlapping regions of a sample with a coherent beam and…

图像与视频处理 · 电气工程与系统科学 2024-12-04 Alexander Denker , Johannes Hertrich , Zeljko Kereta , Silvia Cipiccia , Ecem Erin , Simon Arridge

We consider minimizing the sum of three convex functions, where the first one F is smooth, the second one is nonsmooth and proximable and the third one is the composition of a nonsmooth proximable function with a linear operator L. This…

最优化与控制 · 数学 2022-07-27 Adil Salim , Laurent Condat , Konstantin Mishchenko , Peter Richtárik

We propose the shadow Davis-Yin three-operator splitting method to solve nonconvex optimisation problems. Its convergence analysis is based on a merit function resembling the Moreau envelope. We explore variational analysis properties…

最优化与控制 · 数学 2025-12-24 Felipe Atenas

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…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Ruturaj G. Gavaskar , Kunal N. Chaudhury

The Douglas-Rachford splitting method is a classical and widely used algorithm for solving monotone inclusions involving the sum of two maximally monotone operators. It was recently shown to be the unique frugal, no-lifting…

最优化与控制 · 数学 2025-12-12 Max Nilsson , Anton Åkerman , Pontus Giselsson

Plug-and-Play Priors (PnP) is a popular framework for solving imaging inverse problems by integrating learned priors in the form of denoisers trained to remove Gaussian noise from images. In standard PnP methods, the denoiser is applied…

图像与视频处理 · 电气工程与系统科学 2025-09-22 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

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

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…

图像与视频处理 · 电气工程与系统科学 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

The recently proposed plug-and-play (PnP) framework allows leveraging recent developments in image denoising to tackle other, more involved, imaging inverse problems. In a PnP method, a black-box denoiser is plugged into an iterative…

计算机视觉与模式识别 · 计算机科学 2018-01-03 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Imaging tasks are typically tackled using a structured optimization framework. This paper delves into a class of algorithms for difference-of-convex (DC) structured optimization, focusing on minimizing a DC function along with a possibly…

最优化与控制 · 数学 2024-09-19 Tsz Ching Chow , Chaoyan Huang , Zhongming Wu , Tieyong Zeng , Angelica I. Aviles-Rivero

The plug-and-play (PnP) method uses a deep denoiser within a proximal algorithm for model-based image reconstruction (IR). Unlike end-to-end IR, PnP allows the same pretrained denoiser to be used across different imaging tasks, without the…

图像与视频处理 · 电气工程与系统科学 2025-08-05 Arghya Sinha , Trishit Mukherjee , Kunal N. Chaudhury

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