New neural networks based on Taylor series and their research

This paper is Mining in the essence of neural networks, and constructing 4 types of neural networks: (1) to construct a neural network based on Taylor series; (2) to construct a Taylor component neural network which brings in a Radial Basis Function neuron as a prefix; (3) to construct a Fourier component neural network.Because of the relationships between these functions, the Taylor component NN and the Fourier component NN can be called Gauss series NN equivalently; (4) to construct a Gauss series Clustering neural network and to prove its equivalence with RBF NN in a limit situation.The development of new types of neural Networks is playing an important role either to promote deepening study of neural networks theory or to provide new methods for applications.