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When investigating epidemic dynamics through differential models, the parameters needed to understand the phenomenon and to simulate forecast scenarios require a delicate calibration phase, often made even more challenging by the scarcity…

Numerical Analysis · Mathematics 2023-09-11 Giulia Bertaglia , Chuan Lu , Lorenzo Pareschi , Xueyu Zhu

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

Automotive Cyber-Physical Systems (ACPS) have attracted a significant amount of interest in the past few decades, while one of the most critical operations in these systems is the perception of the environment. Deep learning and,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Stavros Nousias , Erion-Vasilis Pikoulis , Christos Mavrokefalidis , Aris S. Lalos

Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the solution while a PDE-induced NN is coupled to the solution NN,…

Computational Physics · Physics 2019-10-22 Xiaoli Chen , Jinqiao Duan , George Em Karniadakis

This paper proposes an innovative method for predicting deformation in architected lattice structures that combines Physics-Informed Neural Networks (PINNs) with finite element analysis. A thorough study was carried out on FCC-based lattice…

Artificial Intelligence · Computer Science 2025-01-08 Akshansh Mishra

Accurate dynamic modeling is critical for autonomous racing vehicles, especially during high-speed and agile maneuvers where precise motion prediction is essential for safety. Traditional parameter estimation methods face limitations such…

Robotics · Computer Science 2026-03-17 Shiming Fang , Kaiyan Yu

Physics-informed neural networks (PINNs) represent a significant advancement in scientific machine learning by integrating fundamental physical laws into their architecture through loss functions. PINNs have been successfully applied to…

Machine Learning · Computer Science 2024-07-16 Wei Zhou , Y. F. Xu

This work introduces Physics-informed State-space neural network Models (PSMs), a novel solution to achieving real-time optimization, flexibility, and fault tolerance in autonomous systems, particularly in transport-dominated systems such…

Machine Learning · Computer Science 2024-08-21 Akshay J. Dave , Richard B. Vilim

Background: Deep learning techniques, particularly neural networks, have revolutionized computational physics, offering powerful tools for solving complex partial differential equations (PDEs). However, ensuring stability and efficiency…

Artificial Intelligence · Computer Science 2024-07-11 A. Noorizadegan , R. Cavoretto , D. L. Young , C. S. Chen

Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions. However, material identification is a challenging task, especially when the characteristic of the…

Materials Science · Physics 2022-11-29 Wensi Wu , Mitchell Daneker , Matthew A. Jolley , Kevin T. Turner , Lu Lu

Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

Machine Learning · Computer Science 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

Purpose: The primary aim of this study is to enhance fault diagnosis in induction machines by leveraging the Pad\'e Approximant Neuron (PAON) model. While accelerometers and microphones are standard in motor condition monitoring, deep…

Machine Learning · Computer Science 2025-10-15 Sertac Kilickaya , Levent Eren

Physics-informed neural networks (PINN) is a machine learning (ML)-based method to solve partial differential equations that has gained great popularity due to the fast development of ML libraries in the last few years. The…

Chemical Physics · Physics 2024-12-31 Martin A. Achondo , Jehanzeb H. Chaudhry , Christopher D. Cooper

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

The recently developed physics-informed machine learning has made great progress for solving nonlinear partial differential equations (PDEs), however, it may fail to provide reasonable approximations to the PDEs with discontinuous…

Numerical Analysis · Mathematics 2021-12-06 Chunyue Lv , Lei Wang , Chenming Xie

Neural networks, while powerful, often lack interpretability. Physics-Informed Neural Networks (PINNs) address this limitation by incorporating physics laws into the loss function, making them applicable to solving Ordinary Differential…

Machine Learning · Computer Science 2024-04-17 Jonas Ekeland Kittelsen , Eric Aislan Antonelo , Eduardo Camponogara , Lars Struen Imsland

Recent breakthroughs in Deep Neural Networks (DNNs) have fueled a tremendously growing demand for bringing DNN-powered intelligence into mobile platforms. While the potential of deploying DNNs on resource-constrained platforms has been…

Machine Learning · Computer Science 2020-06-09 Sicong Liu , Junzhao Du , Kaiming Nan , ZimuZhou , Atlas Wang , Yingyan Lin

Physics-based models play a key role in battery management, yet face challenges in real-time applications due to the high computational cost of solving coupled algebraic-partial differential equations. To accelerate model simulation, this…

Applied Physics · Physics 2026-01-06 Yi Zhuang , Yusheng Zheng , Yunhong Che , Remus Teodorescu

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

Numerical Analysis · Mathematics 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa

Predicting the future motion of surrounding road users is a crucial and challenging task for autonomous driving (AD) and various advanced driver-assistance systems (ADAS). Planning a safe future trajectory heavily depends on understanding…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Maximilian Schäfer , Kun Zhao , Markus Bühren , Anton Kummert
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