Interpolation of Generalized Functions Using Artificial Neural Networks

• 作者: Bharadwaja Krishnadev Mylavarapu Raghu T Mylavarapu Uday Shankar Sekhar
• 来源期刊: 电脑和通信(英文)
• 学科: 数学
• 关键词: FUNCTION INTERPOLATION Hidden Layer WEIGHT BIAS Machine Learning DISTRIBUTIONS Dirac’s FUNCTION Heaviside’s FUNCTION Gibb’s Phenomenon
• 年，卷（期）: 2018,（7）
• 页码范围: 34-40
• 页数: 7页
• 分类号: O1

摘要

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.