Complex numbers solves a particular problem. My idea is that this the complex part can be expanded to solve other problems. However finding that particular problem is hard.
So assume the problem requires a network to be able to solve it. Inspired by this the complex part could be a machine learning model of noise, model(noise).
I assume a model with noise as input requires a discriminator model and some iteration to get a good result.
You should then be able to iterate the number to change the parameters according to the error discriminator system.
If successful the model will have produced a good solution.