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Pseudo-healthy image inpainting is an essential preprocessing step for analyzing pathological brain MRI scans. Most current inpainting methods favor slice-wise 2D models for their high in-plane fidelity, but their independence across slices…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Dou Hoon Kwark , Shirui Luo , Xiyue Zhu , Yudu Li , Zhi-Pei Liang , Volodymyr Kindratenko

Sampling from Boltzmann distributions, particularly those tied to high dimensional and complex energy functions, poses a significant challenge in many fields. In this work, we present the Energy-Based Diffusion Generator (EDG), a novel…

Machine Learning · Computer Science 2025-09-26 Yan Wang , Ling Guo , Hao Wu , Tao Zhou

This paper presents a paraxial modeling approach for vibro-acoustography, a high-frequency ultrasound imaging technique that makes use of the excited low-frequency field to achieve a higher resolution while avoiding speckles. We start from…

Numerical Analysis · Mathematics 2023-10-06 Teresa Rauscher

Diffusion models excel in solving imaging inverse problems due to their ability to model complex image priors. However, their reliance on large, clean datasets for training limits their practical use where clean data is scarce. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Weimin Bai , Yifei Wang , Wenzheng Chen , He Sun

Cardiovascular disease (CVD) is a leading cause of mortality worldwide. Electrocardiograms (ECGs) are the most widely used non-invasive tool for cardiac assessment, yet large, well-annotated ECG corpora are scarce due to cost, privacy, and…

Machine Learning · Computer Science 2025-11-14 Xiaoda Wang , Kaiqiao Han , Yuhao Xu , Xiao Luo , Yizhou Sun , Wei Wang , Carl Yang

In case of non-dissipative tissue the inverse problem of thermoacoustic imaging basically consists of two inverse problems. First, a function $\phi$ depending on the \emph{electromagnetic absorption function}, is estimated from one of three…

Analysis of PDEs · Mathematics 2010-09-23 Richard Kowar

In medical imaging, the diffusion models have shown great potential for synthetic image generation tasks. However, these approaches often lack the interpretable connections between the generated and real images and can create anatomically…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Jian-Qing Zheng , Yuanhan Mo , Yang Sun , Jiahua Li , Fuping Wu , Ziyang Wang , Tonia Vincent , Bartłomiej W. Papież

Diffusion maps are a commonly used kernel-based method for manifold learning, which can reveal intrinsic structures in data and embed them in low dimensions. However, as with most kernel methods, its implementation requires a heavy…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , Jay S. Stanley , Ngan Vu , David van Dijk , Kevin Moon , Guy Wolf , Smita Krishnaswamy

Diffusion models can generate a variety of high-quality images by modeling complex data distributions. Trained diffusion models can also be very effective image priors for solving inverse problems. Most of the existing diffusion-based…

Image and Video Processing · Electrical Eng. & Systems 2025-09-01 Nebiyou Yismaw , Ulugbek S. Kamilov , M. Salman Asif

Diffusion models have made remarkable progress in solving various inverse problems, attributing to the generative modeling capability of the data manifold. Posterior sampling from the conditional score function enable the precious data…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Jinghao Zhang , Zizheng Yang , Qi Zhu , Feng Zhao

Energy-based models (EBMs) provide a powerful and flexible way of learning a joint probability distribution over data by constructing an energy surface. This energy surface enables insight extraction and conditional sampling. We apply EBMs…

Plasma Physics · Physics 2026-05-12 Phil Travis , Troy Carter

Latest diffusion-based methods for many image restoration tasks outperform traditional models, but they encounter the long-time inference problem. To tackle it, this paper proposes a Wavelet-Based Diffusion Model (WaveDM). WaveDM learns the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Yi Huang , Jiancheng Huang , Jianzhuang Liu , Mingfu Yan , Yu Dong , Jiaxi Lv , Chaoqi Chen , Shifeng Chen

Diffusion probabilistic models have recently achieved remarkable success in generating high-quality images. However, balancing high perceptual quality and low distortion remains challenging in application of diffusion models in image…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Juan Song , Jiaxiang He , Lijie Yang , Mingtao Feng , Keyan Wang

Reconstructing 4D (3D+t) cardiac geometry from sparse 2D echocardiography is highly desirable yet fundamentally challenged by geometric ambiguity and temporal discontinuity. To tackle these issues, we propose Echo4DIR, a novel test-time 4D…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Yanan Liu , Qinya Li , Hao Zhang , Kangjian He , Xuan Yang , Hao Li , Dan Xu , Lei Li

The Extracellular-Membrane-Intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The EMI model provides a more detailed description of the heart's electrical activity compared to traditional…

Numerical Analysis · Mathematics 2025-04-29 Carlos Ballesteros , Alexei Cheviakov , Raymond J. Spiteri

Diffusion models have been recently studied as powerful generative inverse problem solvers, owing to their high quality reconstructions and the ease of combining existing iterative solvers. However, most works focus on solving simple linear…

Machine Learning · Statistics 2025-10-06 Hyungjin Chung , Jeongsol Kim , Michael T. Mccann , Marc L. Klasky , Jong Chul Ye

Diffusion models have found phenomenal success as expressive priors for solving inverse problems, but their extension beyond natural images to more structured scientific domains remains limited. Motivated by applications in materials…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Timofey Efimov , Harry Dong , Megna Shah , Jeff Simmons , Sean Donegan , Yuejie Chi

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Over the last years, deep learning methods have become an increasingly popular choice to solve tasks from the field of inverse problems. Many of these new data-driven methods have produced impressive results, although most only give point…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass

Electronic health records (EHRs) are invaluable for clinical research, yet privacy concerns severely restrict data sharing. Synthetic data generation offers a promising solution, but EHRs present unique challenges: they contain both…

Machine Learning · Computer Science 2026-03-26 Shaonan Liu , Yuichiro Iwashita , Soichiro Nakako , Masakazu Iwamura , Koichi Kise