层次泛函网络构造理论及其在多重数值积分中的应用

Construct theory of hierarchical functional networks and its application in multiple numerical integral

对层次泛函网络的全局逼近理论进行研究,证明了层次泛函网络是一全局逼近器。利用这个特性,将层次泛函网络的构造方法和过程应用于多重数值积分计算。最后,通过6个典型的多重数值积分算例,计算机仿真结果表明,这种方法可行有效,具有较高的计算精度。

The universal approximation properties of hierarchical functional network were verified. Using this feature, the structure and learning algorithm of hierarchical functional network were used to obtain numerical approximation in the multiple numerical integral. Simulation results show that this method for numerical calculation of multiple numerical integrals is practical and effective, and has good computation precision.