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相关论文: Physics-Informed Neural Nets for Control of Dynami…

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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

We use Physics-Informed Neural Networks (PINNs) to solve the discrete-time nonlinear observer state estimation problem. Integrated within a single-step exact observer linearization framework, the proposed PINN approach aims at learning a…

Accretion disks are ubiquitous in astrophysics, appearing in diverse environments from planet-forming systems to X-ray binaries and active galactic nuclei. Traditionally, modeling their dynamics requires computationally intensive…

地球与行星天体物理 · 物理学 2025-09-26 Shunyuan Mao , Weiqi Wang , Sifan Wang , Ruobing Dong , Lu Lu , Kwang Moo Yi , Paris Perdikaris , Andrea Isella , Sébastien Fabbro , Lile Wang

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

数值分析 · 数学 2024-11-20 Tim De Ryck , Siddhartha Mishra

The use of deep learning in physical sciences has recently boosted the ability of researchers to tackle physical systems where little or no analytical insight is available. Recently, the Physics-Informed Neural Networks (PINNs) have been…

量子物理 · 物理学 2024-10-23 Lorenzo Brevi , Antonio Mandarino , Enrico Prati

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…

经典物理 · 物理学 2026-01-16 Baidehi Das , Raffaele Barretta , Marko Čanađija

Physics-Informed Neural Networks (PINNs) have emerged as a promising computational framework for solving differential equations by integrating deep learning with physical constraints. However, their application in gas turbines is still in…

计算工程、金融与科学 · 计算机科学 2025-06-25 Afila Ajithkumar Sophiya , Sepehr Maleki , Giuseppe Bruni , Senthil K. Krishnababu

State estimation for nonlinear dynamical systems is a critical challenge in control and engineering applications, particularly when only partial and noisy measurements are available. This paper introduces a novel Adaptive Physics-Informed…

机器学习 · 计算机科学 2025-10-31 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

The application of deep learning methods to speed up the resolution of challenging power flow problems has recently shown very encouraging results. However, power system dynamics are not snap-shot, steady-state operations. These dynamics…

机器学习 · 计算机科学 2022-06-22 Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

计算工程、金融与科学 · 计算机科学 2024-04-30 Yared W. Bekele

Physics Informed Neural Network (PINN) is a scientific computing framework used to solve both forward and inverse problems modeled by Partial Differential Equations (PDEs). This paper introduces IDRLnet, a Python toolbox for modeling and…

机器学习 · 计算机科学 2021-07-12 Wei Peng , Jun Zhang , Weien Zhou , Xiaoyu Zhao , Wen Yao , Xiaoqian Chen

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

Physics-informed Neural Networks (PINNs) have been shown as a promising approach for solving both forward and inverse problems of partial differential equations (PDEs). Meanwhile, the neural operator approach, including methods such as Deep…

机器学习 · 计算机科学 2023-10-31 Bin Lin , Zhiping Mao , Zhicheng Wang , George Em Karniadakis

This paper proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems that consist of single and double beams based on Euler-Bernoulli and Timoshenko theory, where the double beams are…

机器学习 · 计算机科学 2023-09-26 Taniya Kapoor , Hongrui Wang , Alfredo Nunez , Rolf Dollevoet

Solving time-dependent partial differential equations (PDEs) is fundamental to modeling critical phenomena across science and engineering. Physics-Informed Neural Networks (PINNs) solve PDEs using deep learning. However, PINNs perform…

机器学习 · 计算机科学 2025-08-25 Mayank Nagda , Jephte Abijuru , Phil Ostheimer , Marius Kloft , Sophie Fellenz

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.…

机器学习 · 计算机科学 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

Physics-informed neural networks (PINNs) have recently emerged as a novel and popular approach for solving forward and inverse problems involving partial differential equations (PDEs). However, achieving stable training and obtaining…

流体动力学 · 物理学 2024-05-28 Wenbo Cao , Weiwei Zhang

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…

机器学习 · 计算机科学 2021-04-27 Mohammad Amin Nabian , Rini Jasmine Gladstone , Hadi Meidani

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

机器学习 · 计算机科学 2025-05-05 Keon Vin Park

Inverse problems are extensively studied in applied mathematics, with applications ranging from acoustic tomography for medical diagnosis to geophysical exploration. Physics informed neural networks (PINNs) have emerged as a powerful tool…