Reviews: The Geometry of Deep Networks: Power Diagram Subdivision

This paper studies the geometry of deep networks with piecewise affine and convex nonlinearities using the max affine spline operator (MASO) framework (BB18a, BB18b). The authors establish a connection between input space partitioning of a neural network and power diagrams. The paper is well-written, and presents interesting theoretical results. It would be great if the authors can provide more details on the computational aspects. Please see below for detailed comments/questions.