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Physics-Informed Neural Networks (PINNs) are effective methods for solving inverse problems and discovering governing equations from observational data. However, their performance degrades significantly under complex measurement noise and…

机器学习 · 计算机科学 2026-02-04 Hankyeol Kim , Pilsung Kang

Standard Physics-Informed Neural Networks (PINNs) often face challenges when modeling parameterized dynamical systems with sharp regime transitions, such as bifurcations. In these scenarios, the continuous mapping from parameters to…

机器学习 · 计算机科学 2026-03-06 Enzo Nicolas Spotorno , Josafat Ribeiro Leal , Antonio Augusto Frohlich

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

计算工程、金融与科学 · 计算机科学 2024-04-30 Yared W. Bekele

Physics-Informed Neural Networks (PINNs) offer a promising approach to solving differential equations and, more generally, to applying deep learning to problems in the physical sciences. We adopt a recently developed transfer learning…

机器学习 · 计算机科学 2022-11-02 Raphaël Pellegrin , Blake Bullwinkel , Marios Mattheakis , Pavlos Protopapas

Physics Informed Neural Network (PINN) is a scientific computing framework used to solve both forward and inverse problems modeled by Partial Differential Equations (PDEs). This paper introduces IDRLnet, a Python toolbox for modeling and…

机器学习 · 计算机科学 2021-07-12 Wei Peng , Jun Zhang , Weien Zhou , Xiaoyu Zhao , Wen Yao , Xiaoqian Chen

Accretion disks are ubiquitous in astrophysics, appearing in diverse environments from planet-forming systems to X-ray binaries and active galactic nuclei. Traditionally, modeling their dynamics requires computationally intensive…

地球与行星天体物理 · 物理学 2025-09-26 Shunyuan Mao , Weiqi Wang , Sifan Wang , Ruobing Dong , Lu Lu , Kwang Moo Yi , Paris Perdikaris , Andrea Isella , Sébastien Fabbro , Lile Wang

Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity…

机器学习 · 计算机科学 2022-11-30 Hamed Bolandi , Gautam Sreekumar , Xuyang Li , Nizar Lajnef , Vishnu Naresh Boddeti

Physics-informed neural networks (PINNs) have been widely applied to solve partial differential equations (PDEs) by enforcing outputs and gradients of deep models to satisfy target equations. Due to the limitation of numerical computation,…

机器学习 · 计算机科学 2024-10-24 Haixu Wu , Huakun Luo , Yuezhou Ma , Jianmin Wang , Mingsheng Long

Video sequence capturing through refractive dynamic media, such as a turbulent air or water surface, often suffer from severe geometric distortions and temporal instability. While recent advances address mild atmospheric turbulence, no…

Recent works have explored the potential of machine learning as data-driven turbulence closures for RANS and LES techniques. Beyond these advances, the high expressivity and agility of physics-informed neural networks (PINNs) make them…

机器学习 · 计算机科学 2021-03-08 Didier Lucor , Atul Agrawal , Anne Sergent

High-fidelity scientific simulations are now producing unprecedented amounts of data, creating a storage and analysis bottleneck. A single simulation can generate tremendous data volumes, often forcing researchers to discard valuable…

Atmospheric turbulence degrades image quality by introducing blur and geometric tilt distortions, posing significant challenges to downstream computer vision tasks. Existing single-image and multi-frame methods struggle with the highly…

计算机视觉与模式识别 · 计算机科学 2025-08-15 Yixing Liu , Minggui Teng , Yifei Xia , Peiqi Duan , Boxin Shi

Physics-informed neural networks (PINNs) [31] use automatic differentiation to solve partial differential equations (PDEs) by penalizing the PDE in the loss function at a random set of points in the domain of interest. Here, we develop a…

神经与进化计算 · 计算机科学 2019-12-03 E. Kharazmi , Z. Zhang , G. E. Karniadakis

Physics-informed neural networks (PINNs) have effectively been demonstrated in solving forward and inverse differential equation problems, but they are still trapped in training failures when the target functions to be approximated exhibit…

机器学习 · 计算机科学 2023-03-06 Ye Li , Song-Can Chen , Sheng-Jun Huang

Physics-informed neural networks (PINNs) have gained significant prominence as a powerful tool in the field of scientific computing and simulations. Their ability to seamlessly integrate physical principles into deep learning architectures…

机器学习 · 计算机科学 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

Turbulence modeling is a critical component in numerical simulations of industrial flows based on Reynolds-averaged Navier-Stokes (RANS) equations. However, after decades of efforts in the turbulence modeling community, universally…

流体动力学 · 物理学 2017-03-22 Jian-Xun Wang , Jin-Long Wu , Heng Xiao

Spatially varying image deblurring remains a fundamentally ill-posed problem, especially when degradations arise from complex mixtures of motion and other forms of blur under significant noise. State-of-the-art learning-based approaches…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Hakki Motorcu , Mujdat Cetin

Direct observations of earthquake nucleation and propagation are few and yet the next decade will likely see an unprecedented increase in indirect, surface observations that must be integrated into modeling efforts. Machine learning (ML)…

数学物理 · 物理学 2024-07-25 Cody Rucker , Brittany A. Erickson

Physics-informed neural networks have emerged as a coherent framework for building predictive models that combine statistical patterns with domain knowledge. The underlying notion is to enrich the optimization loss function with known…

宇宙学与河外天体物理 · 物理学 2023-10-20 Zhenyu Dai , Ben Moews , Ricardo Vilalta , Romeel Dave