are all built out of these kind of architectures and these kind of operators and it's actually pretty easy to show that all of these operators that comprise the layers of bit essentially all of today's state-of-the-art deep nets are maxify spline operators you can think of then each layer of a deep net is just a max affine spline operator and so that what we're doing is we're doing that we have a convex approximation going on at each of these layers and therefore a deep net is just a composition of maxify spline operations