TITLE:
Interpolation of Generalized Functions Using Artificial Neural Networks
AUTHORS:
Raghu T Mylavarapu, Bharadwaja Krishnadev Mylavarapu, Uday Shankar Sekhar
KEYWORDS:
Function Interpolation, Hidden Layer, Weight, Bias, Machine Learning, Distributions, Dirac’s Function, Heaviside’s Function, Gibb’s Phenomenon
JOURNAL NAME:
Journal of Computer and Communications,
Vol.6 No.7,
July
30,
2018
ABSTRACT: In this paper we employ artificial neural networks for predictive approximation of generalized functions having crucial applications in different areas of science including mechanical and chemical engineering, signal processing, information transfer, telecommunications, finance, etc. Results of numerical analysis are discussed. It is shown that the known Gibb’s phenomenon does not occur.