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http://dx.doi.org/10.11568/kjm.2015.23.3.327

CONSTRUCTIVE APPROXIMATION BY NEURAL NETWORKS WITH POSITIVE INTEGER WEIGHTS  

HONG, BUM IL (Department of Applied Mathematics and The Institute of Natural Sciences Kyung Hee University)
HAHM, NAHMWOO (Department of Mathematics Incheon National University)
Publication Information
Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 327-336 More about this Journal
Abstract
In this paper, we study a constructive approximation by neural networks with positive integer weights. Like neural networks with real weights, we show that neural networks with positive integer weights can even approximate arbitrarily well for any continuous functions on compact subsets of $\mathbb{R}$. We give a numerical result to justify our theoretical result.
Keywords
Neural network; Positive integer weight; Sigmoidal function;
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Times Cited By KSCI : 2  (Citation Analysis)
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