%0 Journal Article %J IEEJ Transactions on Electrical and Electronic Engineering %D 2020 %T An Overview of Some Issues in the Theory of Deep Networks %A Tomaso Poggio %A Andrzej Banburski %X

During the last few years, significant progress has been made in the theoretical understanding of deep networks. We review our contributions in the areas of approximation theory and optimization. We also introduce a new approach based on cross‐validation leave‐one‐out stability to estimate bounds on the expected error of overparametrized classifiers, such as deep networks.

%B IEEJ Transactions on Electrical and Electronic Engineering %V 15 %P 1560 - 1571 %8 10/2020 %G eng %U https://onlinelibrary.wiley.com/toc/19314981/15/11 %N 11 %! IEEJ Trans Elec Electron Eng %R 10.1002/tee.23243