Journal of Applied Mathematics

The Construction and Approximation of the Neural Network with Two Weights

Zhiyong Quan and Zhengqiu Zhang

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Abstract

The technique of approximate partition of unity, the way of Fourier series, and inequality technique are used to construct a neural network with two weights and with sigmoidal functions. Furthermore by using inequality technique, we prove that the neural network with two weights can more precisely approximate any nonlinear continuous function than BP neural network constructed in (Chen et al., 2012).

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 892653, 6 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412177812

Digital Object Identifier
doi:10.1155/2014/892653

Mathematical Reviews number (MathSciNet)
MR3251593

Citation

Quan, Zhiyong; Zhang, Zhengqiu. The Construction and Approximation of the Neural Network with Two Weights. J. Appl. Math. 2014 (2014), Article ID 892653, 6 pages. doi:10.1155/2014/892653. https://projecteuclid.org/euclid.jam/1412177812


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