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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

This paper presents a novel method for restoring digital videos via a Deep Plug-and-Play (PnP) approach. Under a Bayesian formalism, the method consists in using a deep convolutional denoising network in place of the proximal operator of…

图像与视频处理 · 电气工程与系统科学 2022-09-16 Antoine Monod , Julie Delon , Matias Tassano , Andrés Almansa

Plug-and-Play (PnP) methods solve ill-posed inverse problems through iterative proximal algorithms by replacing a proximal operator by a denoising operation. When applied with deep neural network denoisers, these methods have shown…

最优化与控制 · 数学 2022-06-22 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

最优化与控制 · 数学 2024-11-05 Arghya Sinha , Kunal N Chaudhury

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

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

This paper introduces a stochastic plug-and-play (PnP) sampling algorithm that leverages variable splitting to efficiently sample from a posterior distribution. The algorithm based on split Gibbs sampling (SGS) draws inspiration from the…

机器学习 · 统计学 2023-04-24 Florentin Coeurdoux , Nicolas Dobigeon , Pierre Chainais

It's well-known that inverse problems are ill-posed and to solve them meaningfully, one has to employ regularization methods. Traditionally, popular regularization methods are the penalized Variational approaches. In recent years, the…

计算机视觉与模式识别 · 计算机科学 2021-09-06 Abinash Nayak

In this paper we analyze the Gradient-Step Denoiser and its usage in Plug-and-Play algorithms. The Plug-and-Play paradigm of optimization algorithms uses off the shelf denoisers to replace a proximity operator or a gradient descent operator…

机器学习 · 计算机科学 2025-09-15 Vincent Herfeld , Baudouin Denis de Senneville , Arthur Leclaire , Nicolas Papadakis

In recent years Plug-and-Play (PnP) methods have achieved state-of-the-art performance in inverse imaging problems by replacing proximal operators with denoisers. Based on the proximal gradient method, some theoretical results of PnP have…

计算机视觉与模式识别 · 计算机科学 2024-08-23 Shuchang Zhang , Hongxia Wang

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

Image restoration schemes based on the pre-trained deep models have received great attention due to their unique flexibility for solving various inverse problems. In particular, the Plug-and-Play (PnP) framework is a popular and powerful…

图像与视频处理 · 电气工程与系统科学 2022-07-26 Chong Wang , Rongkai Zhang , Saiprasad Ravishankar , Bihan Wen

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

最优化与控制 · 数学 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

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

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

We propose a general deep plug-and-play (PnP) algorithm with a theoretical convergence guarantee. PnP strategies have demonstrated outstanding performance in various image restoration tasks by exploiting the powerful priors underlying…

图像与视频处理 · 电气工程与系统科学 2025-12-19 Yodai Suzuki , Ryosuke Isono , Shunsuke Ono

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

A plug-and-play model predictive control (PnP MPC) scheme is proposed for varying-topology networks to track piecewise constant references. The proposed scheme allows subsystems to occasionally join and leave the network while preserving…

系统与控制 · 电气工程与系统科学 2022-11-17 Ahmed Aboudonia , Andrea Martinelli , Nicolas Hoischen , John Lygeros

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

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