Date of Award
Bachelor of Science
Professor George Todd
real analysis, artificial neural network, universal approximation theorem, artificial intelligence
An artificial neural network is a biologically-inspired system that can be trained to perform computations. Recently, techniques from machine learning have trained neural networks to perform a variety of tasks. It can be shown that any continuous function can be approximated by an artificial neural network with arbitrary precision. This is known as the universal approximation theorem. In this thesis, we will introduce neural networks and one of the first versions of this theorem, due to Cybenko. He modeled artificial neural networks using sigmoidal functions and used tools from measure theory and functional analysis.
Ji, Zongliang, "Approximation of Continuous Functions by Artificial Neural Networks" (2019). Honors Theses. 2306.