CONSTRUCTIVE APPROXIMATION BY GAUSSIAN NEURAL NETWORKS

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 3,  2012, pp.341-349
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.3.341
Title & Authors
CONSTRUCTIVE APPROXIMATION BY GAUSSIAN NEURAL NETWORKS
Hahm, Nahm-Woo; Hong, Bum-Il;

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 $\small{C_c(\mathbb{R}^s)}$. We demonstrate numerical experiments to support our theoretical results.
Keywords
Constructive Approximation;Neural Network;Gaussian Activation Function;
Language
English
Cited by
1.
CONSTRUCTIVE APPROXIMATION BY NEURAL NETWORKS WITH POSITIVE INTEGER WEIGHTS,;;

Korean Journal of Mathematics, 2015. vol.23. 3, pp.327-336
1.
CONSTRUCTIVE APPROXIMATION BY NEURAL NETWORKS WITH POSITIVE INTEGER WEIGHTS, Korean Journal of Mathematics, 2015, 23, 3, 327
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