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Physics-informed neural networks (PINNs) offer a promising avenue for tackling both forward and inverse problems in partial differential equations (PDEs) by incorporating deep learning with fundamental physics principles. Despite their…

机器学习 · 计算机科学 2024-02-06 Hemanth Saratchandran , Shin-Fang Chng , Simon Lucey

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

机器学习 · 计算机科学 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel

Modeling concentric tube robots (CTRs) involves complex nonlinear continuum mechanics, and despite recent progress, physics-based models often lack an accurate representation of the experimental setups. To overcome these limitations, deep…

机器人学 · 计算机科学 2026-05-14 Navid Feizi , Filipe C. Pedrosa , Rajni V. Patel , Jagadeesan Jayender

Recent advances in deep learning for solving partial differential equations (PDEs) have introduced physics-informed neural networks (PINNs), which integrate machine learning with physical laws. Physics-informed convolutional neural networks…

计算工程、金融与科学 · 计算机科学 2025-11-11 Wanyun Zhou , Haoze Song , Xiaowen Chu

In recent years, scientific machine learning, particularly physic-informed neural networks (PINNs), has introduced new innovative methods to understanding the differential equations that describe power system dynamics, providing a more…

系统与控制 · 电气工程与系统科学 2024-03-12 Huynh T. T. Tran , Hieu T. Nguyen

Physics-Informed Neural Networks (PINNs), which integrate deep learning with physical prior knowledge, have proven to be a powerful tool for studying the dynamics of high-dimensional nonlinear systems. The present work utilizes PINNs to…

量子气体 · 物理学 2026-02-05 Dongshuai Liu , Boris A. Malomed , Wen Zhang

Physics-informed neural networks (PINNs) have recently emerged as a promising framework for integrating data-driven learning with physical knowledge. In this work, we propose a coupled PINN approach for the joint reconstruction of indoor…

机器学习 · 计算机科学 2026-05-05 Sani Biswas , Khursheed J. Ansari , Md. Nasim Akhtar

The present work investigates the use of physics-informed neural networks (PINNs) for the 3D reconstruction of unsteady gravity currents from limited data. In the PINN context, the flow fields are reconstructed by training a neural network…

流体动力学 · 物理学 2023-06-16 Mickaël Delcey , Yoann Cheny , Sébastien Kiesgen de Richter

A physics-informed neural network (PINN) models the dynamics of a system by integrating the governing physical laws into the architecture of a neural network. By enforcing physical laws as constraints, PINN overcomes challenges with data…

机器学习 · 计算机科学 2025-04-23 Pengtao Dang , Tingbo Guo , Melissa Fishel , Guang Lin , Wenzhuo Wu , Sha Cao , Chi Zhang

The prohibitive cost and low fidelity of experimental data in industry scale thermofluid systems limit the usefulness of pure data-driven machine learning methods. Physics-informed neural networks (PINN) strive to overcome this by embedding…

流体动力学 · 物理学 2021-05-25 Ryno Laubscher , Pieter Rousseau

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

Physics-informed neural networks (PINNs) are effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data. PINNs employ standard feedforward neural networks (NNs) with the PDEs explicitly…

计算物理 · 物理学 2021-11-03 Guofei Pang , Lu Lu , George Em Karniadakis

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

应用物理 · 物理学 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

We propose a new physics-informed neural network framework, IDPINN, based on the enhancement of initialization and domain decomposition to improve prediction accuracy. We train a PINN using a small dataset to obtain an initial network…

机器学习 · 计算机科学 2024-06-06 Chenhao Si , Ming Yan

Physics-informed neural networks (PINNs) have emerged as a new learning paradigm for solving partial differential equations (PDEs) by enforcing the constraints of physical equations, boundary conditions (BCs), and initial conditions (ICs)…

机器学习 · 计算机科学 2025-05-21 Chenhong Zhou , Jie Chen , Zaifeng Yang , Ching Eng Png

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

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…

机器学习 · 计算机科学 2024-04-17 Jonas Ekeland Kittelsen , Eric Aislan Antonelo , Eduardo Camponogara , Lars Struen Imsland

Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

系统与控制 · 电气工程与系统科学 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

This study devised a physics-informed neural network (PINN) framework to solve the wave equation for acoustic resonance analysis. The proposed analytical model, ResoNet, minimizes the loss function for periodic solutions and conventional…

声音 · 计算机科学 2024-07-09 Kazuya Yokota , Takahiko Kurahashi , Masajiro Abe