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Diffusion kernels over graphs have been widely utilized as effective tools in various applications due to their ability to accurately model the flow of information through nodes and edges. However, there is a notable gap in the literature…

Numerical Analysis · Mathematics 2026-04-15 Giuseppe Alessio D'Inverno , Kylian Ajavon , Simone Brugiapaglia

The radiation dose in computed tomography (CT) examinations is harmful for patients but can be significantly reduced by intuitively decreasing the number of projection views. Reducing projection views usually leads to severe aliasing…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bing Guan , Cailian Yang , Liu Zhang , Shanzhou Niu , Minghui Zhang , Yuhao Wang , Weiwen Wu , Qiegen Liu

Diffusion models have been widely studied as effective generative tools for solving inverse problems. The main ideas focus on performing the reverse sampling process conditioned on noisy measurements, using well-established numerical…

Numerical Analysis · Mathematics 2024-10-29 Xiang Cao , Xiaoqun Zhang

In this paper, we propose a general methodology for sampling from un-normalized densities defined on Riemannian manifolds, with a particular focus on multi-modal targets that remain challenging for existing sampling methods. Inspired by the…

Machine Learning · Statistics 2026-02-03 Alain Durmus , Maxence Noble , Thibaut Pellerin

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

Ultrasound imaging is widely used for real-time, noninvasive diagnosis, but speckle and related artifacts reduce image quality and can hinder interpretation. We present a diffusion-based ultrasound despeckling method built on the Image…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Shuoqi Chen , Yujia Wu , Geoffrey P. Luke

Training diffusion models requires large datasets. However, acquiring large volumes of high-quality data can be challenging, for example, collecting large numbers of high-resolution images and long videos. On the other hand, there are many…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Xudong Ma

Diffusion Probabilistic Models (DPMs) have demonstrated significant potential in 3D medical image segmentation tasks. However, their high computational cost and inability to fully capture global 3D contextual information limit their…

Image and Video Processing · Electrical Eng. & Systems 2025-04-17 Kangbo Ma

The dose of X-ray radiation and the scanning time are crucial factors in computed tomography (CT) for clinical applications. In this work, we introduce a multi-source static CT imaging system designed to rapidly acquire sparse view and…

Medical Physics · Physics 2025-01-03 Ziju Shen , Haimiao Zhang , Bin Dong , Jun Qiu , Yunxiang Li , Zhili Cui

Diffusion Probabilistic Models (DPMs) have recently been employed for image deblurring, formulated as an image-conditioned generation process that maps Gaussian noise to the high-quality image, conditioned on the blurry input.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Mengwei Ren , Mauricio Delbracio , Hossein Talebi , Guido Gerig , Peyman Milanfar

We present a novel method for exemplar-based image translation, called matching interleaved diffusion models (MIDMs). Most existing methods for this task were formulated as GAN-based matching-then-generation framework. However, in this…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Junyoung Seo , Gyuseong Lee , Seokju Cho , Jiyoung Lee , Seungryong Kim

Music inpainting aims to reconstruct missing segments of a corrupted recording. While diffusion-based generative models improve reconstruction for medium-length gaps, they often struggle to preserve musical plausibility over multi-second…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-23 Sean Turland , Eloi Moliner , Vesa Välimäki

Infrared imaging technology has gained significant attention for its reliable sensing ability in low visibility conditions, prompting many studies to convert the abundant RGB images to infrared images. However, most existing image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Fangyuan Mao , Jilin Mei , Shun Lu , Fuyang Liu , Liang Chen , Fangzhou Zhao , Yu Hu

Recent advances in computer vision have led to significant progress in the generation of realistic image data, with denoising diffusion probabilistic models proving to be a particularly effective method. In this study, we demonstrate that…

Image and Video Processing · Electrical Eng. & Systems 2023-08-09 Dennis Eschweiler , Rüveyda Yilmaz , Matisse Baumann , Ina Laube , Rijo Roy , Abin Jose , Daniel Brückner , Johannes Stegmaier

Cone-beam computed tomography (CBCT) images are problematic in clinical medicine because of their low contrast and high artifact content compared with conventional CT images. Although there are some studies to improve image quality, in…

Image and Video Processing · Electrical Eng. & Systems 2026-03-30 Naruki Murahashi , Mitsuhiro Nakamura , Megumi Nakao

The aim of this paper is to discuss potential advances in PET kinetic models and direct reconstruction of kinetic parameters. As a prominent example we focus on a typical task in perfusion imaging and derive a system of…

Optimization and Control · Mathematics 2014-11-20 Louise Reips , Martin Burger , Ralf Engbers

Diffusion models have emerged as powerful generative priors for high-dimensional inverse problems, yet learning them when only corrupted or noisy observations are available remains challenging. In this work, we propose a new method for…

Machine Learning · Computer Science 2025-12-23 Danial Hosseintabar , Fan Chen , Giannis Daras , Antonio Torralba , Constantinos Daskalakis

Acquiring accurate channel state information (CSI) is critical for reliable and efficient wireless communication, but challenges such as high pilot overhead and channel aging hinder timely and accurate CSI acquisition. CSI prediction, which…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Mehdi Sattari , Javad Aliakbari , Alexandre Graell i Amat , Tommy Svensson

Compressed sensing Synthetic Aperture Radar (SAR) image formation, formulated as an inverse problem and solved with traditional iterative optimization methods can be very computationally expensive. We investigate the use of denoising…

Image and Video Processing · Electrical Eng. & Systems 2025-04-25 Odysseas Pappas , Perla Mayo , Andrew Austin , Alin Achim

Sparse-view computed tomography (CT) is a practical solution to reduce radiation dose, but the resulting ill-posed inverse problem poses significant challenges for accurate image reconstruction. Although deep learning and diffusion-based…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Changsheng Fang , Yongtong Liu , Bahareh Morovati , Shuo Han , Yu Shi , Li Zhou , Shuyi Fan , Hengyong Yu