Journal of
Engineering and Computer Innovations

  • Abbreviation: J. Eng. Comput. Innov.
  • Language: English
  • ISSN: 2141-6508
  • DOI: 10.5897/JECI
  • Start Year: 2010
  • Published Articles: 26

Full Length Research Paper

Construction and adjustment of differential polynomial neural network

  Ladislav Zjavka
Faculty of Management Science and Informatics, University of Žilina, Univerzitná 8215/1, 010 01 Žilina, Slovakia
Email: [email protected]

  • Article Number - 9038FE68418
  • Vol.2(3), pp. 40-50, March 2011
  •  Accepted: 26 January 2011
  •  Published: 30 March 2011

Abstract

 

Artificial neural networks in general are used to identify patterns according to their entire relationship, responding to related patterns with a similar output of applying absolute values of variables. However, a lot of real data contain some unknown relations of variables. Learning of these dependencies could be a new way of modelling complex systems instead of usual time series prediction based on pattern similarity. Differential polynomial neural network, which constructs a differential equation of fractional terms using multi-parametric polynomial functions, is a new type of neural network developed by the author. Its functionality is based on principles, which are applied in human brain learning. The brain does not utilize absolute values of variables, but relative ones, which are created by time-delayed dynamic periodic activation functions of biological neurons. They take part in differential equation composition as partial derivative terms, describing a relative change of particular dependent variables.

 

Key words: Polynomial neural network, dependence of variables identification, differential equation approximation, rational integral function, modelling of complex system

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