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Optimum design using radial basis function networks by adaptive range genetic algorithms (determination of radius in radial basis function networks)

机译:通过自适应范围遗传算法使用径向基函数网络的最佳设计(径向基函数网络中半径的确定)

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In this paper we use the radial basis function network (RBF) to approximate the fitness function of genetic algorithms and try to obtain the approximate optimum results. RBF is a kind of neural network that is composed by the number of radial basis function in Gaussian distribution. When the position of basis function and their radius are given, learning system of RRF is summarized in calculation of inverse matrix. Thus, learning system is quite simple and very rapid. There are two important issues in RBF, one is to place basis functions and to give data, and the other is to give appropriate radius to each radial basis function. As for the first one, we have proposed the data distribution and basis function distribution method together with Adaptive Range Genetic Algorithms (ARange GAs). In this study, we will focus our attention to the second problem. For that purpose, we give oval distribution for basis function and assume that every basis function have the same oval radius. In this way we can reduce the number' of radius function as the number of design variables. We will show the effectiveness of the proposed method through benchmark problem.
机译:在本文中,我们使用径向基函数网络(RBF)来近似遗传算法的健身功能,并尝试获得近似的最佳结果。 RBF是一种由高斯分布中的径向基函数的数量组成的神经网络。当给出基础函数的位置及其半径时,RRF的学习系统总结在反向矩阵的计算中。因此,学习系统非常简单,非常快。 RBF存在两个重要的问题,一个是放置基本函数并提供数据,另一个是向每个径向基函数提供适当的半径。至于第一个,我们提出了数据分布和基础函数分配方法以及自适应范围遗传算法(Arange Gas)。在这项研究中,我们将重点关注第二个问题。为此目的,我们提供基础函数的椭圆分布,并假设每个基本功能具有相同的椭圆半径。以这种方式,我们可以将半径函数的数量减少为设计变量的数量。我们将通过基准问题显示所提出的方法的有效性。

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