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This paper studies plug-and-play (PnP) Langevin sampling strategies for Bayesian inference in low-photon Poisson imaging problems, a challenging class of problems with significant applications in astronomy, medicine, and biology. PnP…

Computation · Statistics 2026-01-12 Teresa Klatzer , Savvas Melidonis , Marcelo Pereyra , Konstantinos C. Zygalakis

Plug-and-Play methods for image restoration are iterative algorithms that solve a variational problem to recover a clean image from a degraded observation. These algorithms are known to be flexible to changes of degradation and to perform…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Marien Renaud , Julien Hermant , Nicolas Papadakis

Objective: Magnetic particle imaging (MPI) is an emerging medical imaging modality which has gained increasing interest in recent years. Among the benefits of MPI are its high temporal resolution, and that the technique does not expose the…

Image and Video Processing · Electrical Eng. & Systems 2025-04-29 Vladyslav Gapyak , Corinna Rentschler , Thomas März , Andreas Weinmann

Iterative denoising algorithms (IDAs) have been tremendously successful in a range of linear inverse problems arising in signal and image processing. The classic instance of this is the famous Iterative Soft-Thresholding Algorithm (ISTA),…

Image and Video Processing · Electrical Eng. & Systems 2023-02-17 Danica Fliss , Willem Marais , Robert D. Nowak

Image denoisers have been shown to be powerful priors for solving inverse problems in imaging. In this work, we introduce a generalization of these methods that allows any image restoration network to be used as an implicit prior. The…

Image and Video Processing · Electrical Eng. & Systems 2023-10-03 Yuyang Hu , Mauricio Delbracio , Peyman Milanfar , Ulugbek S. Kamilov

Speech dereverberation aims to alleviate the detrimental effects of late-reverberant components. While the weighted prediction error (WPE) method has shown superior performance in dereverberation, there is still room for further improvement…

Sound · Computer Science 2023-12-06 Ziye Yang , Wenxing Yang , Kai Xie , Jie Chen

Hyperspectral images are typically composed of hundreds of narrow and contiguous spectral bands, each containing information regarding the material composition of the imaged scene. However, these images can be affected by various sources of…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Shuo Li , Mehrdad Yaghoobi

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

A common approach to solve inverse imaging problems relies on finding a maximum a posteriori (MAP) estimate of the original unknown image, by solving a minimization problem. In thiscontext, iterative proximal algorithms are widely used,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Hoang Trieu Vy Le , Audrey Repetti , Nelly Pustelnik

Imaging inverse problems aim to recover high-dimensional signals from undersampled, noisy measurements, a fundamentally ill-posed task with infinite solutions in the null-space of the sensing operator. To resolve this ambiguity, prior…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez , Henry Arguello

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

Consistency models (CMs) learn a consistent mapping from multiple noise levels to the data endpoint and can therefore perform generative inference in one or a few steps. This property makes them attractive as learned priors for low-latency…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Jinlong Li , Peng Yang , Zehui Xiong , Xianbin Cao

Aiming at high-dimensional (HD) data acquisition and analysis, snapshot compressive imaging (SCI) obtains the 2D compressed measurement of HD data with optical imaging systems and reconstructs HD data using compressive sensing algorithms.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Qing Yang , Yaping Zhao

In compressed sensing (CS) MRI, model-based methods are pivotal to achieving accurate reconstruction. One of the main challenges in model-based methods is finding an effective prior to describe the statistical distribution of the target…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Tao Hong , Zhaoyi Xu , Se Young Chun , Luis Hernandez-Garcia , Jeffrey A. Fessler

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

There are various inverse problems -- including reconstruction problems arising in medical imaging -- where one is often aware of the forward operator that maps variables of interest to the observations. It is therefore natural to ask…

Image and Video Processing · Electrical Eng. & Systems 2020-06-23 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

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

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

We propose an OCT super-resolution framework based on a plug-and-play diffusion model (PnP-DM) to reconstruct high-quality images from sparse measurements (OCT B-mode corneal images). Our method formulates reconstruction as an inverse…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Yaning Wang , Jinglun Yu , Wenhan Guo , Yu Sun , Jin U. Kang

We propose a novel multi-layer neural network architecture that gives a promising neural network empowered optimization approach to the image restoration problem. The proposed architecture is motivated by the recent study of monotone…

Optimization and Control · Mathematics 2025-10-27 Haruya Shimizu , Masahiro Yukawa