Appeal No. 96-0065 Application No. 07/969,868 The invention is directed to a method and apparatus for neural network training. Representative independent claim 1 is reproduced as follows: 1. A method of training a neural network so that a neuron output state vector thereof obeys a set of forward sensitivity equations over a finite learning period, said method comprising: defining first and auxiliary adjoint systems of equations governing an adjoint function and an auxiliary adjoint function, respectively, of said neural network; setting said adjoint function to zero at the beginning of said learning period and integrating said adjoint system of equations forward in time over said learning period to produce a first term of an indirect effect of a sensitivity gradient of said neural network; setting said auxiliary adjoint function to zero at the end of said learning period and integrating said auxiliary adjoint system of equations forward in time over said learning period to produce a remaining term of said indirect effect; computing a sum of said first and remaining terms, and multiplying said sum by a learning rate; and subtracting the product thereof from a current neuron parameter vector to produce an updated neuron parameter vector. No references are relied on by the examiner. 2Page: Previous 1 2 3 4 5 6 7 8 NextLast modified: November 3, 2007