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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

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

机器学习 · 统计学 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Image restoration, the recovery of clean images from degraded measurements, has applications in various domains like surveillance, defense, and medical imaging. Despite achieving state-of-the-art (SOTA) restoration performance, existing…

计算机视觉与模式识别 · 计算机科学 2026-03-30 Shubhi Shukla , Pravin Nair

Motivated by classical work on the numerical integration of ordinary differential equations we present a ResNet-styled neural network architecture that encodes non-expansive (1-Lipschitz) operators, as long as the spectral norms of the…

In this work, we present new proofs of convergence for Plug-and-Play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse problems where regularization is performed by plugging a pre-trained denoiser in…

最优化与控制 · 数学 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

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 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

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

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

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

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

The Lipschitz constant of the map between the input and output space represented by a neural network is a natural metric for assessing the robustness of the model. We present a new method to constrain the Lipschitz constant of dense deep…

机器学习 · 计算机科学 2023-08-22 Ouail Kitouni , Niklas Nolte , Mike Williams

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

We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by…

最优化与控制 · 数学 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators. For filters of full length, we propose a stochastic gradient descent algorithm on a submanifold of the Stiefel…

最优化与控制 · 数学 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl

In Plug-and-Play (PnP) algorithms, an off-the-shelf denoiser is used for image regularization. PnP yields state-of-the-art results, but its theoretical aspects are not well understood. This work considers the question: Similar to classical…

图像与视频处理 · 电气工程与系统科学 2022-11-29 Ruturaj G. Gavaskar , Chirayu D. Athalye , Kunal N. Chaudhury

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

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

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

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
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