Abstract
We show that sums of separable functions achieve similar error bound as single layer neural networks for functions in Barron’s space.
Keywords:
Artificial neural networks, Sums of separable functions, approximation power, Barron's space, mathematics
Status
Graduate
Department
Mathematics
College
College of Arts and Sciences
Campus
Athens
Faculty Mentor
Mohlenkamp, Dr. Martin J.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
COinS
Approximation of functions in Barron’s space using sums of separable functions.
We show that sums of separable functions achieve similar error bound as single layer neural networks for functions in Barron’s space.