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Code to replicate experiments of paper "The role of adaptive activation functions in Fractional Physics-Informed Neural Networks""

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CeciliaCoelho/icnaam2022

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C. Coelho, M. F. P. Costa, and L.L. Ferrás, "The role of adaptive activation functions in Fractional Physics-Informed Neural Networks" in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM-2022) (AIP Conference Proceedings, accepted)

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This library provides a Jupyter Notebook to replicate the experiments done in the paper "The role of adaptive activation functions in Fractional Physics-Informed Neural Networks", see [paper].

Note that this repository has a copy (not the latest) of the official DeepXDE library [1] with some modified portions of code: added code to print the values of the adaptive variables after training is completed, the number n in 'LAAF-n' was converted to be the initialization of the adaptive variables.

Usage

  • Clone/Download the complete repository;
  • Open the jupyter notebook inside.

If you found this resource useful in your research, please consider citing.

@inproceedings{,
  title={The role of adaptive activation functions in Fractional Physics-Informed Neural Networks},
  author={Coelho, C. and Costa, M. F. P. and Ferrás, L. L.},
  booktitle={},
  pages={},
  year={2022},
  organization={Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM-2022) (AIP
Conference Proceedings, accepted)}
}

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Code to replicate experiments of paper "The role of adaptive activation functions in Fractional Physics-Informed Neural Networks""

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