On the Approximation by Single Hidden Layer Feed-forward Neural Networks With Fixed Weights

@article{Guliyev2018OnTA,
  title={On the Approximation by Single Hidden Layer Feed-forward Neural Networks With Fixed Weights},
  author={Namig J. Guliyev and V. Ismailov},
  journal={ERN: Neural Networks \& Related Topics (Topic)},
  year={2018}
}
Single hidden layer feedforward neural networks (SLFNs) with fixed weights possess the universal approximation property provided that approximated functions are univariate. But this phenomenon does not lay any restrictions on the number of neurons in the hidden layer. The more this number, the more the probability of the considered network to give precise results. In this note, we constructively prove that SLFNs with the fixed weight 1 and two neurons in the hidden layer can approximate any… Expand
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