A complete sequential learning algorithm for RBF neural networks with applications

  • Authors:
  • Nicolae Popoviciu;Mioara Boncuţ

  • Affiliations:
  • Hyperion University of Bucharest, Mathematics-Informatics Faculty, Bucharest, Romania;University Lucian Blaga of Sibiu, Sibiu, Romania

  • Venue:
  • MMACTEE'06 Proceedings of the 8th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
  • Year:
  • 2006

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Abstract

A multidimensional approximation problem and the method to solve it is the theme of this work. The problem solving is done by a RBF neural network and, for that, a RBF Sequential Learning Algorithm is described, based on [4]. Section 1 gives the mathematical background and the notations used in the algorithm description. The initialization of this algorithm is done by another algorithm, called the c-means algorithm, from section 2. The sections 3 and 4 contain the RBF sequential learning algorithm itself, in comparison with the RBF batch learning algorithm [4], [7]. A change in the initialization of weight vectors is done, versus [4]. The section 5 contains a numerical example, with all steps of c-means algorithm and several steps of RBF sequential learning algorithm.