Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CONSTRUCTIVE APPROXIMATION BY GAUSSIAN NEURAL NETWORKS

  • Hahm, Nahm-Woo (Department of Mathematics, University of Incheon) ;
  • Hong, Bum-Il (Department of Applied Mathematics, Kyung Hee University)
  • Received : 2012.05.21
  • Accepted : 2012.06.05
  • Published : 2012.09.25
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Abstract

In this paper, we discuss a constructive approximation by Gaussian neural networks. We show that it is possible to construct Gaussian neural networks with integer weights that approximate arbitrarily well for functions in $C_c(\mathbb{R}^s)$. We demonstrate numerical experiments to support our theoretical results.

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References

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Cited by

  1. CONSTRUCTIVE APPROXIMATION BY NEURAL NETWORKS WITH POSITIVE INTEGER WEIGHTS vol.23, pp.3, 2015, https://doi.org/10.11568/kjm.2015.23.3.327