3 papers
math.NT2023
A proof of the corrected Sister Beiter cyclotomic coefficient conjecture inspired by Zhao and Zhang
Branko Juran, Pieter Moree, Adrian Riekert +2
The largest coefficient (in absolute value) of a cyclotomic polynomial is called its height . In case is a fixed prime it turns out that as and range over a…
math.NA2023
Deep neural network approximation of composite functions without the curse of dimensionality
Adrian Riekert
In this article we identify a general class of high-dimensional continuous functions that can be approximated by deep neural networks (DNNs) with the rectified linear unit (ReLU) a…
math.OC2022
Normalized gradient flow optimization in the training of ReLU artificial neural networks
Simon Eberle, Arnulf Jentzen, Adrian Riekert +1
The training of artificial neural networks (ANNs) is nowadays a highly relevant algorithmic procedure with many applications in science and industry. Roughly speaking, ANNs can be…