.. role:: python(code) :language: python .. ` <>` .. index:: deep learning; gradient Examples -------- R -> R regression linear function 1:1 (role of hidden layers) regression non-linear function 1:1 (role of hidden layers, derivative) R^2 -> R^2 (vector field) regression linear function 2:2 (role of hidden layers) regression non-linear function 2:2 (role of hidden layers, derivative) R^2 -> N (multi-class) multi-class non-linear function 2:2