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In a great number of tasks in science and engineering, the goal is to infer an unknown image from a small number of measurements collected from a known forward model describing certain sensing or imaging modality. Due to resource…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Xingyu Xu , Yuejie Chi

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…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Abinash Nayak

Deep-unrolling and plug-and-play (PnP) approaches have become the de-facto standard solvers for single-pixel imaging (SPI) inverse problem. PnP approaches, a class of iterative algorithms where regularization is implicitly performed by an…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Ping Wang , Lishun Wang , Gang Qu , Xiaodong Wang , Yulun Zhang , Xin Yuan

Plug-and-play (PnP) methods that employ application-specific denoisers have been proposed to solve inverse problems, including MRI reconstruction. However, training application-specific denoisers is not feasible for many applications due to…

Image and Video Processing · Electrical Eng. & Systems 2021-10-19 Sizhuo Liu , Philip Schniter , Rizwan Ahmad

Plug-and-Play (PnP) methods have become standard tools for solving imaging inverse problems by replacing the intractable maximum a posteriori (MAP) denoiser with the MMSE one. While this mismatch has been widely treated as unavoidable,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Kenta Vert , Giacomo Meanti , Scott Pesme , Michael Arbel , Julien Mairal

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…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Yutong Li , Yuping Duan

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…

Signal Processing · Electrical Eng. & Systems 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

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…

Image and Video Processing · Electrical Eng. & Systems 2021-05-11 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

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…

Machine Learning · Computer Science 2026-01-29 Guixian Xu , Jinglai Li , Junqi Tang

The plug-and-play priors (PnP) framework has been recently shown to achieve state-of-the-art results in regularized image reconstruction by leveraging a sophisticated denoiser within an iterative algorithm. In this paper, we propose a new…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Yu Sun , Shiqi Xu , Yunzhe Li , Lei Tian , Brendt Wohlberg , Ulugbek S. Kamilov

Near-field radar imaging systems are used in a wide range of applications such as concealed weapon detection and medical diagnosis. In this paper, we consider the problem of reconstructing the three-dimensional (3D) complex-valued…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Okyanus Oral , Figen S. Oktem

Snapshot compressive imaging (SCI) captures high-dimensional data efficiently by compressing it into two-dimensional observations and reconstructing high-dimensional data from two-dimensional observations with various algorithms. The…

Image and Video Processing · Electrical Eng. & Systems 2025-03-06 Takashi Matsuda , Ryo Hayakawa , Youji Iiguni

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

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]…

Image and Video Processing · Electrical Eng. & Systems 2026-02-16 Benjamin Hawkes , Mike Davies , Victor Elvira , Audrey Repetti

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…

Optimization and Control · Mathematics 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl

Compressive Sensing (CS) has recently attracted attention for ECG data compression. In CS, an ECG signal is projected onto a small set of random vectors. Recovering the original signal from such compressed measurements remains a challenging…

Signal Processing · Electrical Eng. & Systems 2022-10-18 Unni VS , Ruturaj Gavaskar , Kunal Narayan Chaudhury

We propose a new approach for large-scale high-dynamic range computational imaging. Deep Neural Networks (DNNs) trained end-to-end can solve linear inverse imaging problems almost instantaneously. While unfolded architectures provide…

Instrumentation and Methods for Astrophysics · Physics 2023-09-28 Amir Aghabiglou , Matthieu Terris , Adrian Jackson , Yves Wiaux

Posterior sampling has been shown to be a powerful Bayesian approach for solving imaging inverse problems. The recent plug-and-play unadjusted Langevin algorithm (PnP-ULA) has emerged as a promising method for Monte Carlo sampling and…

Machine Learning · Statistics 2025-08-13 Marien Renaud , Jiaming Liu , Valentin de Bortoli , Andrés Almansa , Ulugbek S. Kamilov

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…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ji Li , Chao Wang

This paper presents a novel deformable registration framework, leveraging an image prior specified through a denoising function, for severely noise-corrupted placental images. Recent work on plug-and-play (PnP) priors has shown the…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Jiarui Xing , Ulugbek Kamilov , Wenjie Wu , Yong Wang , Miaomiao Zhang