A comparison of the von Mises and Gaussian basis functions for approximating spherical acoustic scatter

  • Authors:
  • R. L. Jenison;K. Fissell

  • Affiliations:
  • Dept. of Psychol., Wisconsin Univ., Madison, WI;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1995

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Abstract

This paper compares the approximation accuracy of two basis functions that share a common radial basis function (RBF) neural network architecture used for approximating a known function on the unit sphere. The basis function types considered are that of a new spherical basis function, the von Mises function, and the now well-known Gaussian basis function. Gradient descent learning rules were applied to optimize (learn) the solution for both approximating basis functions. A benchmark approximation problem was used to compare the performance of the two types of basis functions, in this case the mathematical expression for the scattering of an acoustic wave striking a rigid sphere