3 papers
math.OC2023
Learning optimal smooth invariant subspaces for data approximation
Davide Barbieri, Eugenio Hernández, Carlos Cabrelli +1
In this article, we consider the problem of approximating a finite set of data (usually huge in applications) by invariant subspaces generated through a small set of smooth functio…
math.FA2020
The structure of group preserving operators
Davide Barbieri, Carlos Cabrelli, Diana Carbajal +2
In this paper, we prove the existence of a particular diagonalization for normal bounded operators defined on subspaces of where is a second coun…
math.FA2020
Data approximation with time-frequency invariant systems
D. Barbieri, C. Cabrelli, E. Hernández +1
In this paper we prove the existence of a time-frequency space that best approximates a given finite set of data. Here best approximation is in the least square sense, among all ti…