I have this extra simple denoising autoencoder algorithm that you might like to check out:
It's based on random projections using the fast Walsh Hadamard transform (WHT).
There is alternative code and information about the WTH here: http://www.jjj.de/fxt/
The connect between the WHT and central limit theorm: https://archive.org/details/bitsavers_mitreESDTe69266ANewMethodofGeneratingGaussianRando_2706065
I hope AMD has good WHT code for its GPUs! Actually nVidia used information I gave them about the WHT and its applications for some of its GPU gems without crediting me ( a number of years ago). Okay so let's talk to AMD.
There are some good ideas about how to use such a net in this video by Hinton:
This forum is exceptionally difficult to use. I won't continue here. You should try out Numenta's forum to see how to do things far better: