2 papers
math.OC2024
How Stringent is the Linear Independence Kink Qualification in Abs-Smooth Optimization?
Lukas Baumgärtner, Franz Bethke, Ganna Shyshkanova +1
Abs-smooth functions are given by compositions of smooth functions and the evaluation of the absolute value. The linear independence kink qualification (LIKQ) is a fundamental assu…
math.OC2024
Computation of Generalized Derivatives for Abs-Smooth Functions by Backward Mode Algorithmic Differentiation and Implications to Deep Learning
Lukas Baumgärtner, Franz Bethke
Algorithmic differentiation (AD) tools allow to obtain gradient information of a continuously differentiable objective function in a computationally cheap way using the so-called b…