Deep Learning approximation of diffeomorphisms via linear-control systems
Deep Learning approximation of diffeomorphisms via linear-control systems
In this paper we propose a Deep Learning architecture to approximate diffeomorphisms diffeotopic to the identity. We consider a control system of the form $ \dot x = \sum_{i = 1}^lF_i(x)u_i $, with linear dependence in the controls, and we use the corresponding flow to approximate the action of a …