Fourier Neural Networks: A Comparative Study
Neural and Evolutionary Computing
2023-10-26 v1
Abstract
We review neural network architectures which were motivated by Fourier series and integrals and which are referred to as Fourier neural networks. These networks are empirically evaluated in synthetic and real-world tasks. Neither of them outperforms the standard neural network with sigmoid activation function in the real-world tasks. All neural networks, both Fourier and the standard one, empirically demonstrate lower approximation error than the truncated Fourier series when it comes to an approximation of a known function of multiple variables.
Cite
@article{arxiv.1902.03011,
title = {Fourier Neural Networks: A Comparative Study},
author = {Abylay Zhumekenov and Malika Uteuliyeva and Olzhas Kabdolov and Rustem Takhanov and Zhenisbek Assylbekov and Alejandro J. Castro},
journal= {arXiv preprint arXiv:1902.03011},
year = {2023}
}