An issue with deep learning is that it is very hard to analyse from a theoretical mathematical perspective, to prove things about them. Kernels have been studi

An issue with deep learning is that it is very hard to analyse from a theoretical mathematical perspective, to prove things about them. Kernels have been studied thoroughly from a theoretical perspective and people have proven things about them. The goal of papers such as these is to find ways in which deep neural networks and kernel methods are similar, so that theoretical results and tools found for kernel methods may be adapted to deep neural networks.