NONLINEAR FUNCTION MODELING WITH NEURAL NETS.

Abstract

Some of the general properties of linear neural nets are reviewed and their applications to adaptive decorrelation of a set of correlated signals and to adaptive inversion of matrices are outlined. The effects on modeling accuracy using non-linear preprocessing by quantizing the inputs to adaptive nets have been studied. The properties of nonlinear modeling nets with and without linear pole-adaption are discussed and the information and convergence aspects of the several types of modelers are considered. A powerful quantizer for high accuracy modeling is derived. It transmits in separable forms, and without cross-coupling, information specifying the class to which the input belongs and also the value of the input at the instant. This technique affords piecewise-linear approximation of any single-valued nonlinear transformation of the input; it also yields rapid convergence of the adaptive weights and high accuracy of modeling. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 14, 1967
Accession Number
AD0816224

Entities

People

  • Frederic D. Powell
  • Johannes G. Goerner

Organizations

  • Bell Aircraft Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Convergence
  • Couplings
  • Inversion

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Neural Network Machine Learning.