Network inversion for complex-valued neural networks

The network inversion method using multilayer neural network was proposed and has been studied for the purpose of solving inverse problems. The original network inversion method has been applied to usual multilayer neural network with real-valued inputs and outputs. The method using neural network with complex-valued inputs and outputs is needed for the general inverse problems including complex numbers. In this study, the complex-valued network inversion method is proposed to solve the inverse problems with complex numbers. A simple simulation of inverse mapping is carried out to confirm the proposed method