Ex parte TOOMARIAN et al. - Page 2




          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.                           


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