On the Computability of Primitive Recursive Functions by Feedforward Artificial Neural Networks

Autor: Vladimir A. Kulyukin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 20, p 4309 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11204309
Popis: 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 N(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 (N(z,0),…,N(z,m)).
Databáze: Directory of Open Access Journals
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