Construct theory of hierarchical functional networks and its application in multiple numerical integral
层次泛函网络构造理论及其在多重数值积分中的应用

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.