Order Analysis, Deep Learning, and Connections to Optimization

Johannes Jahn is a retired university professor at the Department of Mathematics of the Friedrich-Alexander-University Erlangen-Nürnberg (Germany). His research interests are theory and numerical methods in nonlinear optimization, vector optimization and set optimization. Johannes Jahn is the editor of the book series on "Vector Optimization" published with Springer.

• Preliminaries.- C Representing Functionals.- Application in Nonlinear Optimization.- Application in Vector Optimization.- Application in Set Optimization.- Basics of Deep Learning.- Deep Learning with Set-Valued Inputs.