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Physics-informed neural networks (PINNs) [4, 10] are an approach for solving boundary value problems based on differential equations (PDEs). The key idea of PINNs is to use a neural network to approximate the solution to the PDE and to…

数值分析 · 数学 2023-05-23 Victorita Dolean , Alexander Heinlein , Siddhartha Mishra , Ben Moseley

Achieving clean combustion systems is crucial in terms of solving environmental impacts, decarbonization needs and sustainability matters. Traditional combustion modeling techniques via computational fluid dynamics with accurate chemical…

流体动力学 · 物理学 2025-09-11 Mahmood Mousavi , Caleb Caldwell , Jacob Baltes , Muteb Aljasem , Bok Jik Lee

This paper puts forward the vision of creating a library of neural-network-based models for power system simulations. Traditional numerical solvers struggle with the growing complexity of modern power systems, necessitating faster and more…

系统与控制 · 电气工程与系统科学 2025-02-11 Ioannis Karampinis , Petros Ellinas , Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) are one popular approach to incorporate a priori knowledge about physical systems into the learning framework. PINNs are known to be robust for smaller training sets, derive better generalization…

机器学习 · 计算机科学 2024-06-19 Birgit Hillebrecht , Benjamin Unger

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for integrating physics-based constraints and data to address forward and inverse problems in machine learning. Despite their potential, the implementation of PINNs…

最优化与控制 · 数学 2024-12-19 Alan Williams , Christopher Leon , Alexander Scheinker

Physics-Informed Neural Networks (PINNs) combine deep learning with physical constraints for solving partial differential equations (PDEs), and are widely applied in fluid mechanics, heat transfer, and solid mechanics. However, PINN…

机器学习 · 计算机科学 2026-05-18 Xujia Chen , Xinyue Hu , Letian Chen , Daming Shi , Wenhui Fan

This study investigates the application of Physics-Informed Neural Networks (PINNs) to inverse problems in acoustic tube analysis, focusing on reconstructing acoustic fields from noisy and limited observation data. Specifically, we address…

音频与语音处理 · 电气工程与系统科学 2025-05-20 Xinmeng Luan , Kazuya Yokota , Gary Scavone

Previous research in the scientific field has utilized statistical empirical models and machine learning to address fitting challenges. While empirical models have the advantage of numerical generalization, they often sacrifice accuracy.…

计算工程、金融与科学 · 计算机科学 2025-02-13 Po-Han Hou , Sung-Chi Hsieh

For multi-scale problems, the conventional physics-informed neural networks (PINNs) face some challenges in obtaining available predictions. In this paper, based on PINNs, we propose a practical deep learning framework for multi-scale…

机器学习 · 计算机科学 2024-12-18 Yong Wang , Yanzhong Yao , Jiawei Guo , Zhiming Gao

In recent engineering applications using deep learning, physics-informed neural network (PINN) is a new development as it can exploit the underlying physics of engineering systems. The novelty of PINN lies in the use of partial differential…

计算工程、金融与科学 · 计算机科学 2026-02-26 Kart Leong Lim , Rahul Dutta , Mihai Rotaru

Physics-Informed Neural Networks (PINNs) are Neural Network architectures trained to emulate solutions of differential equations without the necessity of solution data. They are currently ubiquitous in the scientific literature due to their…

机器学习 · 计算机科学 2023-08-25 Andrea Bonfanti , Roberto Santana , Marco Ellero , Babak Gholami

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Wave-guide-based physical systems provide a promising route toward energy-efficient analog computing beyond traditional electronics. Within this landscape, acoustic neural networks represent a promising approach for achieving low-power…

声音 · 计算机科学 2025-11-27 Ivan Kalthoff , Marcel Rey , Raphael Wittkowski

We propose Gradient Informed Neural Networks (GradINNs), a methodology inspired by Physics Informed Neural Networks (PINNs) that can be used to efficiently approximate a wide range of physical systems for which the underlying governing…

机器学习 · 计算机科学 2024-09-04 Filippo Aglietti , Francesco Della Santa , Andrea Piano , Virginia Aglietti

Physics-informed neural networks (PINNs) are a newly emerging research frontier in machine learning, which incorporate certain physical laws that govern a given data set, e.g., those described by partial differential equations (PDEs), into…

神经与进化计算 · 计算机科学 2023-07-11 Bo Wang , A. K. Qin , Sajjad Shafiei , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

We propose compleX-PINN, a novel physics-informed neural network (PINN) architecture incorporating a learnable activation function inspired by the Cauchy integral theorem. By optimizing the activation parameters, compleX-PINN achieves high…

机器学习 · 计算机科学 2025-06-10 Chenhao Si , Ming Yan , Xin Li , Zhihong Xia

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…

机器学习 · 计算机科学 2023-06-14 David Anton , Henning Wessels

Quantum control is a ubiquitous research field that has enabled physicists to delve into the dynamics and features of quantum systems, delivering powerful applications for various atomic, optical, mechanical, and solid-state systems. In…

量子物理 · 物理学 2023-12-11 Ariel Norambuena , Marios Mattheakis , Francisco J. González , Raúl Coto

Physics-informed neural networks (PINNs) offer a powerful framework for seismic wavefield modeling, yet they typically require time-consuming retraining when applied to different velocity models. Moreover, their training can suffer from…

地球物理 · 物理学 2025-06-03 Shijun Cheng , Tariq Alkhalifah

Deep learning has been shown to be an effective tool in solving partial differential equations (PDEs) through physics-informed neural networks (PINNs). PINNs embed the PDE residual into the loss function of the neural network, and have been…

机器学习 · 计算机科学 2022-04-06 Jeremy Yu , Lu Lu , Xuhui Meng , George Em Karniadakis
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