The Mathematics of Neural Networks
Text will be added here, see handwritten notes for Friday October 15. They contain a discussion on
- Activation functions and vanishing gradients
- Brief summary of gradient methods
- Approximation theorems, in particular the universal approximation theorem for neural networks by Cybenko and Hornik
I strongly recommend Michael Nielsen's intuitive approach to the neural networks and the universal approximation theorem, see the slides at
http://neuralnetworksanddeeplearning.com/chap4.html.