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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…

Machine Learning · Computer Science 2022-11-02 Raphaël Pellegrin , Blake Bullwinkel , Marios Mattheakis , Pavlos Protopapas

Increased connectivity and remote reprogrammability/reconfigurability features of embedded devices in current-day power systems (including interconnections between information technology -- IT -- and operational technology -- OT --…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Prashanth Krishnamurthy , Ali Rasteh , Ramesh Karri , Farshad Khorrami

We put forth two physics-informed neural network (PINN) schemes based on Miura transformations and the novelty of this research is the incorporation of Miura transformation constraints into neural networks to solve nonlinear PDEs. The most…

Pattern Formation and Solitons · Physics 2023-01-11 Shuning Lin , Yong Chen

Intelligent attackers can suitably tamper sensor/actuator data at various Smart grid surfaces causing intentional power oscillations, which if left undetected, can lead to voltage disruptions. We develop a novel combination of formal…

Cryptography and Security · Computer Science 2023-06-16 Suman Maiti , Anjana B , Sunandan Adhikary , Ipsita Koley , Soumyajit Dey

Physics-Informed Neural Networks (PINNs) are a class of deep neural networks that are trained, using automatic differentiation, to compute the response of systems governed by partial differential equations (PDEs). The training of PINNs is…

Machine Learning · Computer Science 2021-04-27 Mohammad Amin Nabian , Rini Jasmine Gladstone , Hadi Meidani

As attention to recorded data grows in the realm of automotive testing and manual evaluation reaches its limits, there is a growing need for automatic online anomaly detection. This real-world data is complex in many ways and requires the…

Machine Learning · Computer Science 2025-11-13 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

Reliable fault detection is an essential requirement for safe and efficient operation of complex mechanical systems in various industrial applications. Despite the abundance of existing approaches and the maturity of the fault detection…

Signal Processing · Electrical Eng. & Systems 2024-08-19 Tianfu Li , Chuang Sun , Ruqiang Yan , Xuefeng Chen

Neural networks (NNs) accelerate simulations of quantum dissipative dynamics. Ensuring that these simulations adhere to fundamental physical laws is crucial, but has been largely ignored in the state-of-the-art NN approaches. We show that…

Chemical Physics · Physics 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

Physics-informed neural networks (PINNs) have recently received much attention due to their capabilities in solving both forward and inverse problems. For training a deep neural network associated with a PINN, one typically constructs a…

Machine Learning · Computer Science 2022-08-26 Pouyan Nasiri , Roozbeh Dargazany

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

Machine Learning · Computer Science 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

While standard generative adversarial networks (GANs) rely solely on training data to learn unknown probability distributions, physics-informed GANs (PI-GANs) encode physical laws in the form of stochastic partial differential equations…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 James E. Warner , Julian Cuevas , Geoffrey F. Bomarito , Patrick E. Leser , William P. Leser

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Machine Learning · Computer Science 2025-07-15 Karishma Battina , Prathamesh Dinesh Joshi , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

Physics-Informed Neural Networks have emerged as a promising methodology for solving PDEs, gaining significant attention in computer science and various physics-related fields. Despite being demonstrated the ability to incorporate the…

Machine Learning · Computer Science 2025-05-01 Yao-Hsuan Tsai , Hsiao-Tung Juan , Pao-Hsiung Chiu , Chao-An Lin

In this research, the application of the Physics-Informed Neural Network (PINN) model is explored to solve transport equation-based Partial Differential Equations (PDEs). The primary objective is to analyze the impact of different…

Machine Learning · Computer Science 2023-12-04 Akshansh Mishra

Physics-Informed Neural Networks (PINNs) have emerged as a key tool in Scientific Machine Learning since their introduction in 2017, enabling the efficient solution of ordinary and partial differential equations using sparse measurements.…

Electrical Impedance Tomography (EIT) is a promising noninvasive imaging technique that reconstructs the spatial conductivity distribution from boundary voltage measurements. However, it poses a highly nonlinear and ill-posed inverse…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Xuanxuan Yang , Yangming Zhang , Haofeng Chen , Gang Ma , Xiaojie Wang

The present study investigates the dynamics of nonlocal beams by establishing a consistent stress-driven integral elastic using the Physics-Informed Neural Network (PINN) approach. Specifically, a PINN is developed to compute the first…

Classical Physics · Physics 2026-01-16 Baidehi Das , Raffaele Barretta , Marko Čanađija

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. However, the assessment of PINNs in industrial applications…

Machine Learning · Computer Science 2022-07-19 Thi Nguyen Khoa Nguyen , Thibault Dairay , Raphaël Meunier , Mathilde Mougeot

Physics-informed neural networks (PINNs) are extensively employed to solve partial differential equations (PDEs) by ensuring that the outputs and gradients of deep learning models adhere to the governing equations. However, constrained by…

Machine Learning · Computer Science 2025-07-21 Chenhao Si , Ming Yan

Physics-informed neural networks (PINNs) are a new tool for solving boundary value problems by defining loss functions of neural networks based on governing equations, boundary conditions, and initial conditions. Recent investigations have…

Computational Engineering, Finance, and Science · Computer Science 2023-11-14 Ali Harandi , Ahmad Moeineddin , Michael Kaliske , Stefanie Reese , Shahed Rezaei