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The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

机器学习 · 计算机科学 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant physical equations are known. We use PINNs to estimate smooth…

数值分析 · 数学 2025-08-06 Moises Sierpe , Ernesto Castillo , Hernan Mella , Felipe Galarce

The electromagnetic inverse scattering problem (ISP), due to its inherent strong nonlinearity and severe ill-posedness, has long been a core challenge in microwave imaging. In recent years, physics-informed neural networks (PINNs) have…

信号处理 · 电气工程与系统科学 2026-05-05 Shilong Sun

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

计算工程、金融与科学 · 计算机科学 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

Physics-informed neural networks (PINNs) offer a promising framework by embedding partial differential equations (PDEs) into the loss function together with measurement data, making them well-suited for inverse problems. However, standard…

流体动力学 · 物理学 2026-05-25 Kakeru Ueda , Hiro Wakimura , Satoshi Ii

Accurate assessment of central hemodynamics is essential for diagnosis and risk stratification, yet it still relies largely on invasive measurements or on indirect reconstructions built from population-averaged transfer functions. While…

Physics-Informed Neural Networks (PINNs) offer a powerful paradigm for flow reconstruction, seamlessly integrating sparse velocity measurements with the governing Navier-Stokes equations to recover complete velocity and latent pressure…

机器学习 · 计算机科学 2026-02-19 Yixiao Qian , Jiaxu Liu , Zewei Xia , Song Chen , Chao Xu , Shengze Cai

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

Images degraded by geometric distortions pose a significant challenge to imaging and computer vision tasks such as object recognition. Deep learning-based imaging models usually fail to give accurate performance for geometrically distorted…

计算机视觉与模式识别 · 计算机科学 2026-03-18 Han Zhang , Qiguang Chen , Lok Ming Lui

Digital Image Correlation (DIC) is a key technique in experimental mechanics for full-field deformation measurement, traditionally relying on subset matching to determine displacement fields. However, selecting optimal parameters like shape…

图像与视频处理 · 电气工程与系统科学 2024-09-04 Boda Li , Shichao Zhou , Qinwei Ma , Shaopeng Ma

Due to the limited accuracy of 4D Magnetic Resonance Imaging (MRI) in identifying hemodynamics in cardiovascular diseases, the challenges in obtaining patient-specific flow boundary conditions, and the computationally demanding and…

机器学习 · 计算机科学 2025-03-25 Oscar L. Cruz-González , Valérie Deplano , Badih Ghattas

Determining brain hemodynamics plays a critical role in the diagnosis and treatment of various cerebrovascular diseases. In this work, we put forth a physics-informed deep learning framework that augments sparse clinical measurements with…

医学物理 · 物理学 2021-08-27 Mohammad Sarabian , Hessam Babaee , Kaveh Laksari

Physics-informed neural networks (PINNs) have been applied to simulate multiphase flows, yet they are limited in modeling phase changes and sharp interfaces due to optimization conflicts in the strongly coupled Allen-Cahn, Cahn-Hilliard,…

计算物理 · 物理学 2026-01-22 Guoqiang Lei , Zhihua Wang , Lijing Zhou , D. Exposito , Xuerui Mao

This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on solving the incompressible Navier-Stokes equations by using…

数值分析 · 数学 2024-04-29 Shivam Bhargava , Nagaiah Chamakuri

Physics-informed neural networks (PINNs) have great potential for flexibility and effectiveness in forward modeling and inversion of seismic waves. However, coordinate-based neural networks (NNs) commonly suffer from the "spectral bias"…

地球物理 · 物理学 2025-06-19 Yi Ding , Su Chen , Hiroe Miyake , Xiaojun Li

Flow estimation problems are ubiquitous in scientific imaging. Often, the underlying flows are subject to physical constraints that can be exploited in the flow estimation; for example, incompressible (divergence-free) flows are expected…

机器学习 · 计算机科学 2024-06-14 Miao Qi , Ramzi Idoughi , Wolfgang Heidrich

We introduce a physics-informed neural network (PINNs) framework for modelling the spatial distribution of chromodynamic fields induced by quark-antiquark pairs, based on lattice Monte Carlo simulations. In contrast to conventional neural…

高能物理 - 唯象学 · 物理学 2025-09-25 Wei Kou , Xiaoxuan Lin , Bing'ang Guo , Xurong Chen

Integration of machine learning (ML) into the topology optimization (TO) framework is attracting increasing attention, but data acquisition in data-driven models is prohibitive. Compared with popular ML methods, the physics-informed neural…

机器学习 · 计算机科学 2023-12-13 Jichao Yin , Ziming Wen , Shuhao Li , Yaya Zhanga , Hu Wang

Physics-Informed Neural Networks (PINNs) are fast becoming an important tool to solve differential equations rapidly and accurately, and to identify the systems parameters that best agree with a given set of measurements. PINNs have been…

Physics-informed neural networks (PINNs), owing to their mesh-free nature, offer a powerful approach for solving high-dimensional partial differential equations (PDEs) in complex geometries, including irregular domains. This capability…

数值分析 · 数学 2025-06-06 Hanfei Zhou , Lei Shi
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