Mathematics of Deep Learning

Rene Vidal, Joan Bruna, Raja Giryes, Stefano Soatto

Published 2017-12-13Version 1

Recently there has been a dramatic increase in the performance of recognition systems due to the introduction of deep architectures for representation learning and classification. However, the mathematical reasons for this success remain elusive. This tutorial will review recent work that aims to provide a mathematical justification for several properties of deep networks, such as global optimality, geometric stability, and invariance of the learned representations.