Residential College | false |
Status | 已發表Published |
Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks | |
Zhang, Guangtao1; Pan, Guanyu2,3; Leong, Ieng Tak1; Yang, Huiyu2,3; Xu, Zikun2 | |
2023-10 | |
Conference Name | 5th International Conference on Artificial Intelligence and Computer Science (AICS 2023) |
Source Publication | Proceedings of SPIE - The International Society for Optical Engineering |
Volume | 12803 |
Conference Date | July 26th-28th |
Conference Place | Wuhan, China |
Country | China |
Abstract | Many wave and diffusion processes can be modeled with the Helmholtz equation, essential in wavefield computation. The unknown parameter identification is an efficient way to help researchers to understand the governing physics of a process. Classical methods for inverse problems require solving the forward equation many times, which leads to expensive computational costs as the model size increases. Recently, physics-informed neural networks (PINNs) have shown good performance in solving inverse problems due to their strong ability to represent PDEs and observed data. Benefits from the ability of neural networks to fit the observed data, there is no need to calculate the forward problem many times if we used classical methods. In this work, we identify the unknown space-varying parameter of wavenumber in the Helmholtz equation using physics-informed neural networks (PINNs). Through experiments, we also demonstrate the robustness of our method in handling high-noisy (up to 10%) data. |
Keyword | Helmholtz Equation Parameter Identification Physics-informed Neural Networks (Pinn) Space-varying Parameter |
DOI | 10.1117/12.3009457 |
URL | View the original |
Language | 英語English |
Scopus ID | 2-s2.0-85176506673 |
Fulltext Access | |
Citation statistics | |
Document Type | Conference paper |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Leong, Ieng Tak |
Affiliation | 1.Department of Mathematics, Faculty of Science and Technology, University of Macau, 999078, Macao 2.College of Mathematics and Informatics, South China Agricultural University, Guangzhou, Guangdong, 510006, China 3.SandGold AI Research, Guangzhou, Guangdong, 510006, China |
First Author Affilication | Faculty of Science and Technology |
Corresponding Author Affilication | Faculty of Science and Technology |
Recommended Citation GB/T 7714 | Zhang, Guangtao,Pan, Guanyu,Leong, Ieng Tak,et al. Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks[C], 2023. |
APA | Zhang, Guangtao., Pan, Guanyu., Leong, Ieng Tak., Yang, Huiyu., & Xu, Zikun (2023). Identification of unknown space-varying wavenumber in Helmholtz equation using physics-informed neural networks. Proceedings of SPIE - The International Society for Optical Engineering, 12803. |
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