A taxonomy for wavelet neural networks applied to nonlinear modelling

  • Authors:
  • Emilio Ribes-Gómez;Seán McLoone;George Irwin

  • Affiliations:
  • Department of Electrical Engineering, Universitat de València, Doctor Moliner 50, 46100 Burjassot, Spain;Department of Electronic Engineering, National University of Ireland, Maynooth, Co Kildare, Ireland;School of Electronics, Electrical Engineering and Computer Science, Queen's University Belfast, Belfast BT9 4AH, Northern Ireland, UK

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2008

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Abstract

This article presents a novel classification of wavelet neural networks based on the orthogonality/non-orthogonality of neurons and the type of nonlinearity employed. On the basis of this classification different network types are studied and their characteristics illustrated by means of simple one-dimensional nonlinear examples. For multidimensional problems, which are affected by the curse of dimensionality, the idea of spherical wavelet functions is considered. The behaviour of these networks is also studied for modelling of a low-dimension map.