Abstract

When confronting the complex problems, radial basis function (RBF) neural network has the advantages of adaptive and self-learning ability, but it is difficult to determine the number of hidden layer neurons, and the weights learning ability from hidden layer to the output layer is low; these deficiencies easily lead to decreasing learning ability and recognition precision. Aiming at this problem, we propose a new optimized RBF neural network algorithm based on genetic algorithm (GA-RBF algorithm), which uses genetic algorithm to optimize the weights and structure of RBF neural network; it chooses new ways of hybrid encoding and optimizing simultaneously. Using the binary encoding encodes the number of the hidden layer's neurons and using real encoding encodes the connection weights. Hidden layer neurons number and connection weights are optimized simultaneously in the new algorithm. However, the connection weights optimization is not complete; we need to use least mean square (LMS) algorithm for further leaning, and finally get a new algorithm model. Using two UCI standard data sets to test the new algorithm, the results show that the new algorithm improves the operating efficiency in dealing with complex problems and also improves the recognition precision, which proves that the new algorithm is valid.

Highlights

  • Neural network (NN) is an interdiscipline, and it involves many subjects, such as computer, mathematics, neural, and brain

  • Using the genetic algorithms to optimize the Radial basis function (RBF) neural network is mostly single optimizing the connection weights or network structure, [11–13], so in order to get the best effect of RBF, in this paper, the way of evolving both two aspects simultaneously is provided

  • We propose a new algorithm that uses Genetic algorithm (GA) to optimize the RBF neural network structure and connect weight simultaneously and use least mean square (LMS) method to adjust the network further

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Summary

Introduction

Neural network (NN) is an interdiscipline, and it involves many subjects, such as computer, mathematics, neural, and brain. By doing a series of genetic operations like selection, crossover, mutation, and so on to produce the new generation population, and gradually evolve until getting the optimal state with approximate optimal solution, the integration of the genetic algorithm and neural network algorithm had achieved great success and was widespread [7,8,9,10]. Using the genetic algorithms to optimize the RBF neural network is mostly single optimizing the connection weights or network structure, [11–13], so in order to get the best effect of RBF, in this paper, the way of evolving both two aspects simultaneously is provided. By comparing with every experiment results, it verifies the superiority of the new optimizing algorithm

Genetic Algorithm and RBF Neural Network
Optimized RBF Algorithm Based on Genetic Algorithm
Experiment
Conclusion and Discussion
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