Structural design of optimized polynomial radial basis function neural networks

  • Authors:
  • Young-Hoon Kim;Hyun-Ki Kim;Sung-Kwun Oh

  • Affiliations:
  • Department of Electrical Engineering, The University of Suwon, Gyeonggi-do, South Korea;Department of Electrical Engineering, The University of Suwon, Gyeonggi-do, South Korea;Department of Electrical Engineering, The University of Suwon, Gyeonggi-do, South Korea

  • Venue:
  • ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2010

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Abstract

In this paper, we introduce optimization methods of Polynomial Radial Basis Function Neural Network (pRBFNN) The connection weight of proposed pRBFNN is represented as four kinds of polynomials, unlike in most conventional RBFNN constructed with constant as connection weight Input space in partitioned with the aid of kernel functions and each kernel function is used Gaussian type Least Square Estimation (LSE) is used to estimate the coefficients of polynomial Also, in order to design the optimized pRBFNN model, center value of each kernel function is determined based on C-Means clustering algorithm, the width of the RBF, the polynomial type in the each node, input variables are identified through Particle Swarm Optimization (PSO) algorithm The performances of the NOx emission process of gas turbine power plant data and Automobile Miles per Gallon (MPG) data was applied to evaluate proposed model We analyzed approximation and generalization of model.