Double approximate identity neural networks universal approximation in real lebesgue spaces

Authors:
Zarita Zainuddin;Saeed Panahian Fard
Affiliations:
School of Mathematical Sciences, Universiti Sains Malaysia, USM, Pulau Pinang, Malaysia;School of Mathematical Sciences, Universiti Sains Malaysia, USM, Pulau Pinang, Malaysia
Venue:
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
Year:
2012

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Abstract

The aim of this study is to investigate that some classes of feedforward neural networks exist such that they have universal approximation property. Based on the double approximate identity a main theorem is presented. The result shows the universal approximation capability of double approximate identity neural networks in real two dimensional compact Lebesgue integrable subspaces.