Fractional-order convolutional neural networks with population extremal optimization

Abstract

This article is devoted to the intelligent optimization issue by means of PEO-FOCNN, i.e., the fractional-order convolutional neural networks (FOCNNs) with population extremal optimization (PEO). The Caputo fractional-order gradient method (CFOGM) is adopted to improve the dynamic updating effectiveness of the biases and weights for convolutional neural networks (CNN). Moreover, considering the significance of the initial biases and weights and their updating mechanisms to the optimization performance of FOCNN, the PEO algorithm is used to seek an optimal selection from lots of the initial biases and weights. The optimization effect of PEO method for FOCNN is demonstrated by the training and testing accuracies of PEO-FOCNN compared with standard FOCNN. And, the superiority of the proposed PEO-FOCNN to FOCNN based on some other popular optimization algorithms, such as the genetic algorithm-based FOCNN (GA-FOCNN), differential evolution-based FOCNN (DE-FOCNN) and particle swarm optimization-based FOCNN (PSO-FOCNN), is verified by the experiments on the MNIST dataset in terms of three types of statistical tests.