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This paper introduces an innovative physics-informed deep learning framework for metamodeling of nonlinear structural systems with scarce data. The basic concept is to incorporate physics knowledge (e.g., laws of physics, scientific…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Ruiyang Zhang , Yang Liu , Hao Sun

Accurate prediction of thermal runaway in lithium-ion batteries is essential for ensuring the safety, efficiency, and reliability of modern energy storage systems. Conventional data-driven approaches, such as Long Short-Term Memory (LSTM)…

Machine Learning · Computer Science 2026-05-12 Salman Khan , Syed Sajid Ullah , Muhammad Zunair Zamir , Jie Li , Abdul Malik , Saeed Mian Qaisar

Recent advances in aerial robotics have enabled the use of multirotor vehicles for autonomous payload transportation. Resorting only to classical methods to reliably model a quadrotor carrying a cable-slung load poses significant…

This paper introduces for the first time, to our knowledge, a framework for physics-informed neural networks in power system applications. Exploiting the underlying physical laws governing power systems, and inspired by recent developments…

Systems and Control · Electrical Eng. & Systems 2020-01-30 George S. Misyris , Andreas Venzke , Spyros Chatzivasileiadis

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

Numerical Analysis · Mathematics 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Physics-Informed Neural Networks (PINNs) have demonstrated considerable success in solving complex fluid dynamics problems. However, their performance often deteriorates in regimes characterized by steep gradients, intricate boundary…

Fluid Dynamics · Physics 2025-12-29 Ze Tao , Ke Xu , Fujun Liu

Physics-based simulations are often used to model and understand complex physical systems and processes in domains like fluid dynamics. Such simulations, although used frequently, have many limitations which could arise either due to the…

Machine Learning · Computer Science 2019-11-12 Nikhil Muralidhar , Jie Bu , Ze Cao , Long He , Naren Ramakrishnan , Danesh Tafti , Anuj Karpatne

Whilst the partial differential equations that govern the dynamics of our world have been studied in great depth for centuries, solving them for complex, high-dimensional conditions and domains still presents an incredibly large…

Machine Learning · Computer Science 2023-03-07 Edward Small

This work presents a physics-informed neural network (PINN) based framework to model the strain-rate and temperature dependence of the deformation fields in elastic-viscoplastic solids. To avoid unbalanced back-propagated gradients during…

Materials Science · Physics 2022-11-24 Rajat Arora , Pratik Kakkar , Biswadip Dey , Amit Chakraborty

Power flow analysis plays a critical role in the control and operation of power systems. The high computational burden of traditional solution methods led to a shift towards data-driven approaches, exploiting the availability of digital…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Victor Eeckhout , Hossein Fani , Md Umar Hashmi , Geert Deconinck

Accurate and interpretable bearing fault classification is critical for ensuring the reliability of rotating machinery, particularly under variable operating conditions where domain shifts can significantly degrade model performance. This…

Machine Learning · Computer Science 2025-08-12 Tasfiq E. Alam , Md Manjurul Ahsan , Shivakumar Raman

This dissertation investigates physics-informed neural networks (PINNs) as candidate models for encoding governing equations, and assesses their performance on experimental data from two different systems. The first system is a simple…

Machine Learning · Computer Science 2024-01-09 Hamza Alsharif

This paper proposes a tractable framework to determine key characteristics of non-linear dynamic systems by converting physics-informed neural networks to a mixed integer linear program. Our focus is on power system applications.…

Systems and Control · Electrical Eng. & Systems 2021-04-01 Georgios S. Misyris , Jochen Stiasny , Spyros Chatzivasileiadis

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

This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitable for situations where the mechanistic description of…

Computational Physics · Physics 2021-08-17 Suraj Pawar , Omer San , Adil Rasheed , Ionel M. Navon

Data-driven approaches offer novel opportunities for improving the performance of turbulent flow simulations, which are critical to wide-ranging applications from wind farms and aerodynamic designs to weather and climate forecasting. While…

Fluid Dynamics · Physics 2024-02-14 Xiao Xue , Shuo Wang , Hua-Dong Yao , Lars Davidson , Peter V. Coveney

We present the Physics-Informed Long Short-Term Memory (PI-LSTM) network to reconstruct and predict the evolution of unmeasured variables in a chaotic system. The training is constrained by a regularization term, which penalizes solutions…

Machine Learning · Computer Science 2024-01-02 Elise Özalp , Georgios Margazoglou , Luca Magri

In the context of the energy transition, with increasing integration of renewable sources and cross-border electricity exchanges, power grids are encountering greater uncertainty and operational risk. Maintaining grid stability under…

Machine Learning · Computer Science 2025-09-24 Milad Leyli-abadi , Antoine Marot , Jérôme Picault

This paper presents a data-driven modeling approach for developing control-oriented thermal models of buildings. These models are developed with the objective of reducing energy consumption costs while controlling the indoor temperature of…

Signal Processing · Electrical Eng. & Systems 2022-03-30 Gargya Gokhale , Bert Claessens , Chris Develder
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