Research on the related problems of extended alternating projection neural network

摘要

The paper studies several related problems of the Extended Alternating Projection Neural Network (EAPNN). Firstly the mathematical relation between the interconnection matrix and the library pattern matrix, and the stability of the EAPNN with infinite precision data have been studied, strictly mathematical proofs for them have been given. After analyzing the finite precision influence on the training method of the EAPNN, the paper proposes an improved training method for the EAPNN with finite precision data and gives a practical threshold-value determination method. Then the mathematical relation among the factors influencing the association times has been studied and the mathematical expression of the association times for reaching the expected association precision, while network being used for CAM, has been deduced. Finally simulation experiments have been designed and simulation results demonstrate the validity of theoretical analyses.