Adrian Riekert

activity

20202025

most citedA proof of convergence for gradient descent in the training of artificial neural networks for constant target functions

26 citations · 96 across the 22 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

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 $Φ_{n}$ is called its height $A (n)$ . In case $p$ is a fixed prime it turns out that as $q$ and $r$ 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.NA2023

Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations

Arnulf Jentzen, Adrian Riekert, Philippe von Wurstemberger

In this article we propose a new deep learning approach to approximate operators related to parametric partial differential equations (PDEs). In particular, we introduce a new stra…