Document Type
Article
Author ORCID Identifier
Vladimir A. Kulyukin https://orcid.org/0000-0002-8778-5175
Journal/Book Title/Conference
Mathematics
Volume
11
Issue
20
Publisher
MDPI AG
Publication Date
10-16-2023
First Page
1
Last Page
16
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Abstract
We show that, for a primitive recursive function h(x, t), where x is a n-tuple of natural numbers and t is a natural number, there exists a feedforward artificial neural network π(x, t), such that for any n-tuple of natural numbers z and a positive natural number m, the first m + 1 terms of the sequence {h(z, t)} are the same as the terms of the tuple (π(z, 0), ... ,π(z, m)).
Recommended Citation
Kulyukin, V. A. On the Computability of Primitive Recursive Functions by Feedforward Artificial Neural Networks. Mathematics 2023, 11, 4309. https://doi.org/10.3390/math11204309
