Physics-informed Neural Networks:Recent Advances and Prospects

Physical-informed neural networks (PINN) are a class of neural networks used to solve supervised learning tasks.They not only try to follow the distribution law of the training data, but also follow the physical laws described by partial diffe-rential equations.Compared with pure data-driven neural...

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Main Author: LI Ye, CHEN Song-can
Format: Article
Language:zho
Published: Editorial office of Computer Science 2022-04-01
Series:Jisuanji kexue
Subjects:
Online Access:https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-4-254.pdf
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author LI Ye, CHEN Song-can
author_facet LI Ye, CHEN Song-can
author_sort LI Ye, CHEN Song-can
collection DOAJ
description Physical-informed neural networks (PINN) are a class of neural networks used to solve supervised learning tasks.They not only try to follow the distribution law of the training data, but also follow the physical laws described by partial diffe-rential equations.Compared with pure data-driven neural networks, PINN imposes physical information constraints during the training process, so that more generalized models can be acquired with fewer training data.In recent years, PINN has gradually become a research hotspot in the interdisciplinary field of machine learning and computational mathematics, and has obtained relatively in-depth research in both theory and application, and has made considerable progress.However, due to the unique network structure of PINN, there are some problems such as slow training or even non-convergence and low precision in practical application.On the basis of summarizing the current research of PINN, this paper explores the network/system design and its application in many fields such as fluid mechanics, and looks forward to the further research directions.
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spelling doaj.art-dc11060e9f07483a9b5e57f5b98464fa2022-12-22T00:54:59ZzhoEditorial office of Computer ScienceJisuanji kexue1002-137X2022-04-0149425426210.11896/jsjkx.210500158Physics-informed Neural Networks:Recent Advances and ProspectsLI Ye, CHEN Song-can0College of Computer Science and Technology/Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaPhysical-informed neural networks (PINN) are a class of neural networks used to solve supervised learning tasks.They not only try to follow the distribution law of the training data, but also follow the physical laws described by partial diffe-rential equations.Compared with pure data-driven neural networks, PINN imposes physical information constraints during the training process, so that more generalized models can be acquired with fewer training data.In recent years, PINN has gradually become a research hotspot in the interdisciplinary field of machine learning and computational mathematics, and has obtained relatively in-depth research in both theory and application, and has made considerable progress.However, due to the unique network structure of PINN, there are some problems such as slow training or even non-convergence and low precision in practical application.On the basis of summarizing the current research of PINN, this paper explores the network/system design and its application in many fields such as fluid mechanics, and looks forward to the further research directions.https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-4-254.pdfartificial intelligence|machine learning|neural network|physical model|partial differential equations
spellingShingle LI Ye, CHEN Song-can
Physics-informed Neural Networks:Recent Advances and Prospects
Jisuanji kexue
artificial intelligence|machine learning|neural network|physical model|partial differential equations
title Physics-informed Neural Networks:Recent Advances and Prospects
title_full Physics-informed Neural Networks:Recent Advances and Prospects
title_fullStr Physics-informed Neural Networks:Recent Advances and Prospects
title_full_unstemmed Physics-informed Neural Networks:Recent Advances and Prospects
title_short Physics-informed Neural Networks:Recent Advances and Prospects
title_sort physics informed neural networks recent advances and prospects
topic artificial intelligence|machine learning|neural network|physical model|partial differential equations
url https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-4-254.pdf
work_keys_str_mv AT liyechensongcan physicsinformedneuralnetworksrecentadvancesandprospects