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To sample from a general target distribution $p_*\propto e^{-f_*}$ beyond the isoperimetric condition, Huang et al. (2023) proposed to perform sampling through reverse diffusion, giving rise to Diffusion-based Monte Carlo (DMC).…

Machine Learning · Statistics 2024-01-15 Xunpeng Huang , Difan Zou , Hanze Dong , Yian Ma , Tong Zhang

Accurately capturing the full-range response of structures is crucial in structural health monitoring (SHM) for ensuring safety and operational integrity. However, limited sensor deployment due to cost, accessibility, or scale often hinders…

Computational Engineering, Finance, and Science · Computer Science 2025-09-25 Wingho Feng , Quanwang Li , Chen Wang , Jian-sheng Fan

Diffusion models are now commonly used to solve inverse problems in computational imaging. However, most diffusion-based inverse solvers require complete knowledge of the forward operator to be used. In this work, we introduce a novel…

Image and Video Processing · Electrical Eng. & Systems 2025-09-22 Yuanyun Hu , Evan Bell , Guijin Wang , Yu Sun

This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In diffusion MRI, it is paramount that the number of samples is as small as possible in order that scan times are practical in a clinical setting. The…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Alice P. Bates , Zubair Khalid , Jason D. McEwen , Rodney A. Kennedy , Alessandro Daducci , Erick J. Canales-Rodríguez

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

Reconfigurable intelligent surface (RIS) has been recognized as a promising technology for next-generation wireless communications. However, the performance of RIS-assisted systems critically depends on accurate channel state information…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Yang Wang , Yin Xu , Cixiao Zhang , Zhiyong Chen , Mingzeng Dai , Haiming Wang , Bingchao Liu , Dazhi He , Meixia Tao

This study introduces a novel approach for image reconstruction based on a diffusion model conditioned on the native data domain. Our method is applied to multi-coil MRI and quantitative MRI reconstruction, leveraging the domain-conditioned…

Machine Learning · Computer Science 2023-09-06 Wanyu Bian , Albert Jang , Fang Liu

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

We introduce Linearly Constrained Diffusion Implicit Models (CDIM), a fast and accurate approach to solving noisy linear inverse problems using diffusion models. Traditional diffusion-based inverse methods rely on numerous projection steps…

Machine Learning · Computer Science 2025-12-01 Vivek Jayaram , Ira Kemelmacher-Shlizerman , Steven M. Seitz , John Thickstun

Deep learning-based MRI reconstruction models have achieved superior performance these days. Most recently, diffusion models have shown remarkable performance in image generation, in-painting, super-resolution, image editing and more. As a…

Image and Video Processing · Electrical Eng. & Systems 2024-12-06 Guoyao Shen , Mengyu Li , Chad W. Farris , Stephan Anderson , Xin Zhang

Confocal laser scanning microscopy (CLSM) stands out as one of the most widely used microscopy techniques, thanks to its three-dimensional imaging capability and its sub-diffraction spatial resolution, achieved through the closure of a…

Diffusion models are widely used as priors in imaging inverse problems. However, their performance often degrades under distribution shifts between the training and test-time images. Existing methods for identifying and quantifying…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Shirin Shoushtari , Edward P. Chandler , Yuanhao Wang , M. Salman Asif , Ulugbek S. Kamilov

We introduce a framework that enables efficient sampling from learned probability distributions for MRI reconstruction. Different from conventional deep learning-based MRI reconstruction techniques, samples are drawn from the posterior…

Machine Learning · Computer Science 2023-07-21 Guanxiong Luo , Moritz Blumenthal , Martin Heide , Martin Uecker

Diffusion model-based approaches recently achieved re-markable success in MRI reconstruction, but integration into clinical routine remains challenging due to its time-consuming convergence. This phenomenon is partic-ularly notable when…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Yu Guan , Qinrong Cai , Wei Li , Qiuyun Fan , Dong Liang , Qiegen Liu

Diffusion model is the most advanced method in image generation and has been successfully applied to MRI reconstruction. However, the existing methods do not consider the characteristics of multi-coil acquisition of MRI data. Therefore, we…

Image and Video Processing · Electrical Eng. & Systems 2022-12-23 Chentao Cao , Zhuo-Xu Cui , Jing Cheng , Sen Jia , Hairong Zheng , Dong Liang , Yanjie Zhu

Magnetic Resonance Imaging (MRI) is highly susceptible to motion artifacts due to the extended acquisition times required for k-space sampling. These artifacts can compromise diagnostic utility, particularly for dynamic imaging. We propose…

Image and Video Processing · Electrical Eng. & Systems 2025-07-04 Frederic Wang , Jonathan I. Tamir

Deep learning methods for accelerated MRI achieve state-of-the-art results but largely ignore additional speedups possible with noncartesian sampling trajectories. To address this gap, we created a generative diffusion model-based…

Artificial Intelligence · Computer Science 2024-10-02 Trevor J. Chan , Chamith S. Rajapakse

Diffusion/score-based models have recently emerged as powerful generative priors for solving inverse problems, including accelerated MRI reconstruction. While their flexibility allows decoupling the measurement model from the learned prior,…

Image and Video Processing · Electrical Eng. & Systems 2025-09-15 Yaşar Utku Alçalar , Junno Yun , Mehmet Akçakaya

Computed Tomography (CT) technology reduces radiation haz-ards to the human body through sparse sampling, but fewer sampling angles pose challenges for image reconstruction. Score-based generative models are widely used in sparse-view CT…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Junyan Zhang , Mengxiao Geng , Pinhuang Tan , Yi Liu , Zhili Liu , Bin Huang , Qiegen Liu

Diffusion models have emerged as powerful generative priors for solving inverse imaging problems. However, their practical deployment is hindered by the substantial computational cost of slow, multi-step sampling. Although Consistency…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Amirreza Tanevardi , Pooria Abbas Rad Moghadam , Seyed Mohammad Eshtehardian , Sajjad Amini , Babak Khalaj