Showing 2025Show all
2 papers · 1 filter
math.FA2025
Quantum Harmonic Analysis and the Structure in Data: Augmentation
Monika Doerfler, Franz Luef, Henry McNulty
In this short note, we study the impact of data augmentation on the smoothness of principal components of high-dimensional datasets. Using tools from quantum harmonic analysis, we…
math.FA2025
Approximation properties of operator coorbit spaces and sparsity classes
Monika Dörfler, Lukas Köhldorfer, Franz Luef +1
Extensions of coorbit spaces for functions to operators have been introduced by two different groups in \cite{doelumcskr24} and \cite{köbaLOC25}, where one is based on the coorbit…