Here is some code for a simple multilayer perceptron back-propagating neural network that I wrote in graduate school. There are much more complete, powerful frameworks being developed, but perhaps this will help someone learning. Feel free to use any code that you want.
https://github.com/delrocco/mlp-bpnn
https://github.com/delrocco/mlp-bpnn/blob/master/results/ExperiementsBPNN_DelRocco.pdf