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Physics informed neural networks (PINNs) have emerged as a powerful tool to provide robust and accurate approximations of solutions to partial differential equations (PDEs). However, PINNs face serious difficulties and challenges when…

机器学习 · 计算机科学 2023-07-11 Rajat Arora

Physics-informed neural networks (PINNs) have gained prominence in recent years and are now effectively used in a number of applications. However, their performance remains unstable due to the complex landscape of the loss function. To…

机器学习 · 计算机科学 2025-09-30 Dmitry Bylinkin , Mikhail Aleksandrov , Savelii Chezhegov , Aleksandr Beznosikov

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

Physics-informed neural networks (PINNs) have garnered significant interest for their potential in solving partial differential equations (PDEs) that govern a wide range of physical phenomena. By incorporating physical laws into the…

机器学习 · 计算机科学 2026-04-24 Jian Cheng Wong , Isaac Yin Chung Lai , Pao-Hsiung Chiu , Chin Chun Ooi , Abhishek Gupta , Yew-Soon Ong

Big-data-based artificial intelligence (AI) supports profound evolution in almost all of science and technology. However, modeling and forecasting multi-physical systems remain a challenge due to unavoidable data scarcity and noise.…

机器学习 · 计算机科学 2022-02-08 Pengpeng Shi , Zhi Zeng , Tianshou Liang

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…

Physics-informed neural networks (PINNs) have been popularized as a deep learning framework that can seamlessly synthesize observational data and partial differential equation (PDE) constraints. Their practical effectiveness however can be…

机器学习 · 计算机科学 2023-08-17 Sifan Wang , Shyam Sankaran , Hanwen Wang , Paris Perdikaris

Physics informed neural networks (PINNs) are nowadays used as efficient machine learning methods for solving differential equations. However, vanilla-PINNs fail to learn complex problems as ones involving stiff ordinary differential…

计算物理 · 物理学 2023-04-18 Hubert Baty

The great success of Physics-Informed Neural Networks (PINN) in solving partial differential equations (PDEs) has significantly advanced our simulation and understanding of complex physical systems in science and engineering. However, many…

数值分析 · 数学 2024-09-10 Hao Zhang , Longxiang Jiang , Xinkun Chu , Yong Wen , Luxiong Li , Yonghao Xiao , Liyuan Wang

Physics-Informed Neural Networks (PINNs) have recently emerged as a novel approach to simulate complex physical systems on the basis of both data observations and physical models. In this work, we investigate the use of PINNs for various…

偏微分方程分析 · 数学 2024-03-27 Guillaume Coulaud , Maxime Le , Régis Duvigneau

We propose a stochastic projection-based gradient free physics-informed neural network. The proposed approach, referred to as the stochastic projection based physics informed neural network (SP-PINN), blends upscaled stochastic projection…

计算工程、金融与科学 · 计算机科学 2022-09-29 Navaneeth N , Souvik Chakraborty

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

Scientific machine learning (SciML) represents a significant advancement in integrating machine learning (ML) with scientific methodologies. At the forefront of this development are Physics-Informed Neural Networks (PINNs), which offer a…

机器学习 · 计算机科学 2024-11-19 Reyhaneh Taj

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

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…

机器学习 · 计算机科学 2024-01-09 Hamza Alsharif

Synchronization control in networked dynamical systems requires regulating not only whether coherence is achieved, but also when and to what extent it emerges. We propose a physics-informed neural network (PINN) framework for…

混沌动力学 · 物理学 2026-01-05 Kaiming Luo

Physics-informed neural networks (PINNs) are an emerging technique to solve partial differential equations (PDEs). In this work, we propose a simple but effective PINN approach for the phase-field model of ferroelectric microstructure…

材料科学 · 物理学 2024-09-06 Lan Shang , Sizheng Zheng , Jin Wang , Jie Wang

Friction-induced vibration (FIV) is very common in engineering areas. Analysing the dynamic behaviour of systems containing a multiple-contact point frictional interface is an important topic. However, accurately simulating…

计算工程、金融与科学 · 计算机科学 2023-10-11 Zilin Li , Jinshuai Bai , Huajing Ouyang , Saulo Martelli , Jun Zhao , Ming Tang , Yang Yang , Hongtao Wei , Pan Liu , Wei-Ron Han , Yuantong Gu

Temporally and spatially dependent uncertain parameters are regularly encountered in engineering applications. Commonly these uncertainties are accounted for using random fields and processes, which require knowledge about the appearing…

数值分析 · 数学 2021-11-23 Jan Niklas Fuhg , Ioannis Kalogeris , Amélie Fau , Nikolaos Bouklas

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