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Inverse design problems are common in engineering and materials science. The forward direction, i.e., computing output quantities from design parameters, typically requires running a numerical simulation, such as a FEM, as an intermediate…

Machine Learning · Computer Science 2026-02-18 Jens U. Kreber , Christian Weißenfels , Joerg Stueckler

Diffusion models have emerged as powerful generative priors for solving PDE-constrained inverse problems. Compared to end-to-end approaches relying on massive paired datasets, explicitly decoupling the prior distribution of physical…

Numerical Analysis · Mathematics 2026-04-23 Haibo Liu , Guang Lin

Achieving high-quality Magnetic Resonance Imaging (MRI) reconstruction at accelerated acquisition rates remains challenging due to the inherent ill-posed nature of the inverse problem. Traditional Compressed Sensing (CS) methods, while…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Pierre-Antoine Comby , Benjamin Lapostolle , Matthieu Terris , Philippe Ciuciu

High-quality imaging in photoacoustic computed tomography (PACT) usually requires a high-channel count system for dense spatial sampling around the object to avoid aliasing-related artefacts. To reduce system complexity, various image…

Image and Video Processing · Electrical Eng. & Systems 2024-09-24 Bowei Yao , Shilong Cui , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Jingyi Yu , Yuyao Zhang , Xiran Cai

Accurate longitudinal analysis of brain MRI is often hindered by evolving lesions, which bias automated neuroimaging pipelines. While deep generative models have shown promise in inpainting these lesions, most existing methods operate…

Image and Video Processing · Electrical Eng. & Systems 2026-03-09 Zahra Karimaghaloo , Dumitru Fetco , Haz-Edine Assemlal , Hassan Rivaz , Douglas L. Arnold

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

Denoising diffusion models produce high-fidelity image samples by capturing the image distribution in a progressive manner while initializing with a simple distribution and compounding the distribution complexity. Although these models have…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Ayantika Das , Moitreya Chaudhuri , Koushik Bhat , Keerthi Ram , Mihail Bota , Mohanasankar Sivaprakasam

Using recent advances in generative artificial intelligence (AI) brought by diffusion models, this paper introduces a new synergistic method for spectral computed tomography (CT) reconstruction. Diffusion models define a neural network to…

Inverse design of metasurfaces for specific electromagnetic responses requires generating geometries that satisfy stringent spectral constraints while maintaining manufacturability. Conventional design methodologies rely on iterative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Vineetha Joy , Jamshed Palai , Satwik Sahoo , Anshuman Kumar , Amit Sethi , Hema Singh

While electroencephalogram (EEG) has been a crucial tool for monitoring the brain and diagnosing neurological disorders (e.g., epilepsy), learning meaningful representations from raw EEG signals remains challenging due to limited…

Machine Learning · Computer Science 2025-09-03 Jia Hong Puah , Sim Kuan Goh , Ziwei Zhang , Zixuan Ye , Chow Khuen Chan , Kheng Seang Lim , Si Lei Fong , Kok Sin Woon , Cuntai Guan

Purpose: Magnetic Resonance Imaging (MRI) enables non-invasive assessment of brain abnormalities during early life development. Permanent magnet scanners operating in the neonatal intensive care unit (NICU) facilitate MRI of sick infants,…

Image and Video Processing · Electrical Eng. & Systems 2025-05-23 Yamin Arefeen , Brett Levac , Bhairav Patel , Chang Ho , Jonathan I. Tamir

This work considers electrical impedance tomography imaging of the human head, with the ultimate goal of locating and classifying a stroke in emergency care. One of the main difficulties in the envisioned application is that the electrode…

Numerical Analysis · Mathematics 2021-12-08 Valentina Candiani , Nuutti Hyvönen , Jari P. Kaipio , Ville Kolehmainen

While diffusion models can learn complex distributions, sampling requires a computationally expensive iterative process. Existing distillation methods enable efficient sampling, but have notable limitations, such as performance degradation…

Machine Learning · Computer Science 2024-12-09 Sirui Xie , Zhisheng Xiao , Diederik P Kingma , Tingbo Hou , Ying Nian Wu , Kevin Patrick Murphy , Tim Salimans , Ben Poole , Ruiqi Gao

Inverse problems exist in many disciplines of science and engineering. In computer vision, for example, tasks such as inpainting, deblurring, and super resolution can be effectively modeled as inverse problems. Recently, denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Shayan Mohajer Hamidi , En-Hui Yang

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

Electrical Impedance Tomography (EIT) provides a non-invasive, portable imaging modality with significant potential in medical and industrial applications. Despite its advantages, EIT encounters two primary challenges: the ill-posed nature…

Image and Video Processing · Electrical Eng. & Systems 2025-04-29 Chuyu Wang , Huiting Deng , Dong Liu

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

Positron Emission Tomography (PET) is an important molecular imaging tool widely used in medicine. Traditional PET systems rely on complete detector rings for full angular coverage and reliable data collection. However, incomplete-ring PET…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Yeqi Fang , Rong Zhou

Low-dose computed tomography (LDCT) reduces patient radiation exposure but introduces substantial noise that degrades image quality and hinders diagnostic accuracy. Existing denoising approaches often require many diffusion steps, limiting…

Medical Physics · Physics 2025-10-29 Qiang Li , Mojtaba Safari , Shansong Wang , Huiqiao Xie , Jie Ding , Tonghe Wang , Xiaofeng Yang

We propose a full-wave pseudo-analytical numerical electromagnetic (EM) algorithm to model subsurface induction sensors, traversing planar-layered geological formations of arbitrary EM material anisotropy and loss, which are used, for…

Computational Physics · Physics 2016-04-20 Kamalesh Sainath , Fernando L. Teixeira