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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…

Machine Learning · Computer Science 2026-02-04 Hankyeol Kim , Pilsung Kang

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…

Machine Learning · Computer Science 2023-11-30 Samuel Burbulla

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

In this work, we present the physics-informed neural network (PINN) model applied particularly to dynamic problems in solid mechanics. We focus on forward and inverse problems. Particularly, we show how a PINN model can be used efficiently…

Neural and Evolutionary Computing · Computer Science 2025-12-16 Vijay Kag , Venkatesh Gopinath

Improving diesel engine efficiency, reducing emissions, and enabling robust health monitoring have been critical research topics in engine modelling. While recent advancements in the use of neural networks for system monitoring have shown…

Machine Learning · Computer Science 2026-03-17 Kamaljyoti Nath , Varun Kumar , Daniel J. Smith , George Em Karniadakis

We propose gradient-enhanced PINNs based on transfer learning (TL-gPINNs) for inverse problems of the function coefficient discovery in order to overcome deficiency of the discrete characterization of the PDE loss in neural networks and…

Numerical Analysis · Mathematics 2023-05-16 Shuning Lin , Yong Chen

The identification of material parameters occurring in constitutive models has a wide range of applications in practice. One of these applications is the monitoring and assessment of the actual condition of infrastructure buildings, as the…

Machine Learning · Computer Science 2023-06-14 David Anton , Henning Wessels

In this study, we present and validate the predictive capability of the Physics-Informed Neural Networks (PINNs) methodology for solving a variety of engineering and biological dynamical systems governed by ordinary differential equations…

Machine Learning · Computer Science 2025-11-19 Tyrus Whitman , Andrew Particka , Christopher Diers , Ian Griffin , Charuka Wickramasinghe , Pradeep Ranaweera

This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify…

Fluid Dynamics · Physics 2024-05-21 Sunwoong Yang , Hojin Kim , Yoonpyo Hong , Kwanjung Yee , Romit Maulik , Namwoo Kang

Varying power-infeed from converter-based generation units introduces great uncertainty on system parameters such as inertia and damping. As a consequence, system operators face increasing challenges in performing dynamic security…

Systems and Control · Electrical Eng. & Systems 2021-04-16 Jochen Stiasny , George S. Misyris , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) have shown promise in addressing the ill-posed deconvolution problem in computed tomography perfusion (CTP) imaging for acute ischemic stroke assessment. However, existing PINN-based approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Junhyeok Lee , Minseo Choi , Han Jang , Young Hun Jeon , Heeseong Eum , Joon Jang , Chul-Ho Sohn , Kyu Sung Choi

The computation of the seismic wavefield by solving the Helmholtz equation is crucial to many practical applications, e.g., full waveform inversion. Physics-informed neural networks (PINNs) provide functional wavefield solutions represented…

Geophysics · Physics 2024-08-29 Xinquan Huang , Tariq Alkhalifah

Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

Computational Physics · Physics 2024-06-10 Michel Nohra , Steven Dufour

Physics-Informed Neural Networks (PINNs) have gained increasing attention for solving partial differential equations, including the Helmholtz equation, due to their flexibility and mesh-free formulation. However, their low-frequency bias…

Geophysics · Physics 2025-03-03 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

Koopman operator has been recognized as an ongoing data-driven modeling method for vehicle dynamics which lifts the original state space into a high-dimensional linear state space. The deep neural networks (DNNs) are verified to be useful…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Jianhua Zhang , Yansong He , Hao Chen

Large-scale wave field reconstruction requires precise solutions but faces challenges with computational efficiency and accuracy. The physics-based numerical methods like Finite Element Method (FEM) provide high accuracy but struggle with…

Machine Learning · Computer Science 2026-03-04 Huiwen Zhang , Feng Ye , Chu Ma

Object manipulation skills are necessary for robots operating in various daily-life scenarios, ranging from warehouses to hospitals. They allow the robots to manipulate the given object to their desired arrangement in the cluttered…

Robotics · Computer Science 2025-08-06 Hanwen Ren , Ruiqi Ni , Ahmed H. Qureshi

Physics-Informed Neural Networks (PINNs) have emerged as a powerful class of mesh-free numerical methods for solving partial differential equations (PDEs), particularly those involving complex geometries. In this work, we present an…

Numerical Analysis · Mathematics 2025-08-05 Ran Bi , Weibing Deng , Yameng Zhu

Physics-Informed Neural Networks (PINNs) have emerged as a promising deep learning framework for approximating numerical solutions to partial differential equations (PDEs). However, conventional PINNs, relying on multilayer perceptrons…

Computational Engineering, Finance, and Science · Computer Science 2024-05-08 Zhiyuan Zhao , Xueying Ding , B. Aditya Prakash

Physics-informed neural networks (PINNs) have emerged as a powerful meshless tool for topology optimization, capable of simultaneously determining optimal topologies and physical solutions. However, conventional PINNs rely on density-based…

Machine Learning · Computer Science 2025-06-26 Yuanye Zhou , Zhaokun Wang , Kai Zhou , Hui Tang , Xiaofan Li
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