coin sation and really that a deep net is you could think of it as a vector quantization machine or you could think of it as a free not spline machine there's there really I think interesting links between power diagrams from computational geometry and the the subdivision that's generated by this layer upon layer max affine spline process this the affine transformations that we derive based on that these difficulties different vq regions allow us to link deep nets back to old-school signal processing ideas like match