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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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

机器学习 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

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,…

图像与视频处理 · 电气工程与系统科学 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…

数值分析 · 数学 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…

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…

计算机视觉与模式识别 · 计算机科学 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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 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…

医学物理 · 物理学 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…

计算物理 · 物理学 2016-04-20 Kamalesh Sainath , Fernando L. Teixeira