Generalized Lyapunov exponents and aspects of the theory of deep learning

Abstract

We discuss certain recent metric space methods and some of the possibilities these methods provide, with special focus on various generalizations of Lyapunov exponents originally appearing in the theory of dynamical systems and differential equations. These generalizations appear for example in topology, group theory, probability theory, operator theory and deep learning.

arXiv comment19 pages, 3 figures