instead the probabilities that you fall in the different VQ regions in the input that's what we can do beyond piecewise so I better wrap up so what I hope to get across is that this spline in particular max affine splined viewpoint can provide a useful language to talk about the things that we're learning about deep networks but also frame the kind of questions that we would like to move forward with my talked a bit about the the basic you know framework of max affine splines and deep nets I talked about the relationships with with vector