ReLU Neural Network Galerkin BEM
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10915-023-02120-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7616 |
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oai:localhost:PNK-76162023-04-06T03:10:03Z ReLU Neural Network Galerkin BEM Rubén, Aylwin Fernando, Henríquez Christoph, Schwab ReLU-NNs Galerkin discretization CC BY We introduce Neural Network (NN for short) approximation architectures for the numerical solution of Boundary Integral Equations (BIEs for short). We exemplify the proposed NN approach for the boundary reduction of the potential problem in two spatial dimensions. We adopt a Galerkin formulation-based method, in polygonal domains with a finite number of straight sides. Trial spaces used in the Galerkin discretization of the BIEs are built by using NNs that, in turn, employ the so-called Rectified Linear Units (ReLU) as the underlying activation function. The ReLU-NNs used to approximate the solutions to the BIEs depend nonlinearly on the parameters characterizing the NNs themselves. 2023-04-06T03:10:02Z 2023-04-06T03:10:02Z 2023 Book https://link.springer.com/article/10.1007/s10915-023-02120-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7616 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
ReLU-NNs Galerkin discretization |
| spellingShingle |
ReLU-NNs Galerkin discretization Rubén, Aylwin Fernando, Henríquez Christoph, Schwab ReLU Neural Network Galerkin BEM |
| description |
CC BY |
| format |
Book |
| author |
Rubén, Aylwin Fernando, Henríquez Christoph, Schwab |
| author_facet |
Rubén, Aylwin Fernando, Henríquez Christoph, Schwab |
| author_sort |
Rubén, Aylwin |
| title |
ReLU Neural Network Galerkin BEM |
| title_short |
ReLU Neural Network Galerkin BEM |
| title_full |
ReLU Neural Network Galerkin BEM |
| title_fullStr |
ReLU Neural Network Galerkin BEM |
| title_full_unstemmed |
ReLU Neural Network Galerkin BEM |
| title_sort |
relu neural network galerkin bem |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10915-023-02120-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7616 |
| _version_ |
1762456092161343488 |
| score |
8.881002 |