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Plug-and-play priors (PnP) is a methodology for regularized image reconstruction that specifies the prior through an image denoiser. While PnP algorithms are well understood for denoisers performing maximum a posteriori probability (MAP)…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Xiaojian Xu , Yu Sun , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

Cardiac contraction is a rapid, coordinated process that unfolds across three-dimensional tissue on millisecond timescales. Traditional optical imaging is often inadequate for capturing dynamic cellular structure in the beating heart…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Yi Gong , Xinyuan Zhang , Jichen Chai , Yichen Ding , Yifei Lou

Dynamic inference problems in autoregressive (AR/ARMA/ARIMA), exponential smoothing, and navigation are often formulated and solved using state-space models (SSM), which allow a range of statistical distributions to inform innovations and…

Optimization and Control · Mathematics 2019-10-31 Jonathan Jonker , Peng Zheng , Aleksandr Y. Aravkin

We consider the reconstruction problem of video snapshot compressive imaging (SCI), which captures high-speed videos using a low-speed 2D sensor (detector). The underlying principle of SCI is to modulate sequential high-speed frames with…

Image and Video Processing · Electrical Eng. & Systems 2021-01-14 Xin Yuan , Yang Liu , Jinli Suo , Frédo Durand , Qionghai Dai

Plug-and-play priors (PnP) is an image reconstruction framework that uses an image denoiser as an imaging prior. Unlike traditional regularized inversion, PnP does not require the prior to be expressible in the form of a regularization…

Image and Video Processing · Electrical Eng. & Systems 2020-02-27 Xiaojian Xu , Jiaming Liu , Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

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

We explore the connection between Plug-and-Play (PnP) methods and Denoising Diffusion Implicit Models (DDIM) for solving ill-posed inverse problems, with a focus on single-pixel imaging. We begin by identifying key distinctions between PnP…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Xiaodong Wang , Ping Wang , Zhangyuan Li , Xin Yuan

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic tool that provides excellent soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging modalities (e.g., CT or ultrasound), however, the data…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter

Since the seminal work of Venkatakrishnan et al. in 2013, Plug & Play (PnP) methods have become ubiquitous in Bayesian imaging. These methods derive Minimum Mean Square Error (MMSE) or Maximum A Posteriori (MAP) estimators for inverse…

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…

Image and Video Processing · Electrical Eng. & Systems 2022-07-26 Chong Wang , Rongkai Zhang , Saiprasad Ravishankar , Bihan Wen

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…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

Message-passing algorithms have been adapted for compressive imaging by incorporating various off-the-shelf image denoisers. However, these denoisers rely largely on generic or hand-crafted priors and often fall short in accurately…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Chang Cai , Hao Jiang , Xiaojun Yuan , Ying-Jun Angela Zhang

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…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

Snapshot compressive imaging (SCI) aims to capture the high-dimensional (usually 3D) images using a 2D sensor (detector) in a single snapshot. Though enjoying the advantages of low-bandwidth, low-power and low-cost, applying SCI to…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Xin Yuan , Yang Liu , Jinli Suo , Qionghai Dai

Distributed cooperative localization in wireless networks is a challenging problem since it typically requires solving a large-scale nonconvex and nonsmooth optimization problem. In this paper, we reformulate the classic cooperative…

Optimization and Control · Mathematics 2023-08-08 Mei Zhang , Zhiguo Wang , Feng Yin , Xiaojing Shen

Kalman filtering can provide an optimal estimation of the system state from noisy observation data. This algorithm's performance depends on the accuracy of system modeling and noise statistical characteristics, which are usually challenging…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Xun Xiao , Junbo Tie , Jinyue Zhao , Ziqi Wang , Yuan Li , Qiang Dou , Lei Wang

While score-based generative models have emerged as powerful priors for solving inverse problems, directly integrating them into optimization algorithms such as ADMM remains nontrivial. Two central challenges arise: i) the mismatch between…

Machine Learning · Computer Science 2026-05-13 Rajesh Shrestha , Xiao Fu

In this paper, we propose an audio declipping method that takes advantages of both sparse optimization and deep learning. Since sparsity-based audio declipping methods have been developed upon constrained optimization, they are adjustable…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Tomoro Tanaka , Kohei Yatabe , Masahiro Yasuda , Yasuhiro Oikawa

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

We propose a novel plug-and-play (PnP) module for improving depth prediction with taking arbitrary patterns of sparse depths as input. Given any pre-trained depth prediction model, our PnP module updates the intermediate feature map such…

Image and Video Processing · Electrical Eng. & Systems 2019-04-12 Tsun-Hsuan Wang , Fu-En Wang , Juan-Ting Lin , Yi-Hsuan Tsai , Wei-Chen Chiu , Min Sun