中文
相关论文

相关论文: Multivariate Physics-Informed Convolutional Autoen…

200 篇论文

Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

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

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Physics-informed neural networks (PINNs) have proven to be a promising method for the rapid solving of partial differential equations (PDEs) in both forward and inverse problems. However, due to the smoothness assumption of functions…

计算物理 · 物理学 2026-03-25 Guoqiang Lei , D. Exposito , Xuerui Mao

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

In recent times, there has been considerable interest in fault detection within electrical power systems, garnering attention from both academic researchers and industry professionals. Despite the development of numerous fault detection…

系统与控制 · 电气工程与系统科学 2026-02-17 Sidharthenee Nayak , Victor Sam Moses Babu , Chandrashekhar Narayan Bhende , Pratyush Chakraborty , Mayukha Pal

There have been growing interests in leveraging experimental measurements to discover the underlying partial differential equations (PDEs) that govern complex physical phenomena. Although past research attempts have achieved great success…

机器学习 · 计算机科学 2023-05-23 Chengping Rao , Pu Ren , Yang Liu , Hao Sun

In this study, we present and validate the predictive capability of the Physics-Informed Neural Networks (PINNs) methodology for solving a variety of engineering and biological dynamical systems governed by ordinary differential equations…

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

数值分析 · 数学 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

In recent years, the researches about solving partial differential equations (PDEs) based on artificial neural network have attracted considerable attention. In these researches, the neural network models are usually designed depend on…

神经与进化计算 · 计算机科学 2024-05-21 Bo Zhang , Chao Yang

Discovering hidden physical laws and identifying governing system parameters from sparse observations are central challenges in computational science and engineering. Existing data-driven methods, such as physics-informed neural networks…

机器学习 · 计算机科学 2026-04-16 Dibakar Roy Sarkar , Vijay Kag , Birupaksha Pal , Somdatta Goswami

Inverse problems involving partial differential equations (PDEs) can be seen as discovering a mapping from measurement data to unknown quantities, often framed within an operator learning approach. However, existing methods typically rely…

数值分析 · 数学 2025-02-10 Sung Woong Cho , Hwijae Son

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

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

Deep learning methods have gained considerable interest in the numerical solution of various partial differential equations (PDEs). One particular focus is physics-informed neural networks (PINN), which integrate physical principles into…

动力系统 · 数学 2023-12-19 Xi'an Li , Jiaxin Deng , Jinran Wu , Shaotong Zhang , Weide Li , You-Gan Wang

Deep learning models trained on finite data lack a complete understanding of the physical world. On the other hand, physics-informed neural networks (PINNs) are infused with such knowledge through the incorporation of mathematically…

神经与进化计算 · 计算机科学 2026-02-23 Jian Cheng Wong , Abhishek Gupta , Chin Chun Ooi , Pao-Hsiung Chiu , Jiao Liu , Yew-Soon Ong

Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity…

机器学习 · 计算机科学 2022-11-30 Hamed Bolandi , Gautam Sreekumar , Xuyang Li , Nizar Lajnef , Vishnu Naresh Boddeti

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…

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

Particle Image Velocimetry (PIV) data is a valuable asset in fluid mechanics. It is capable of visualizing flow structures even in complex physics scenarios, such as the flow at the exit of the rotor of a centrifugal fan. Machine learning…

流体动力学 · 物理学 2024-08-01 Maryam Soltani , Ghasem Akbari , Nader Montazerin