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- Title
On the Computability of Primitive Recursive Functions by Feedforward Artificial Neural Networks.
- Authors
Kulyukin, Vladimir A.
- 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 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)) .
- Subjects
ARTIFICIAL neural networks; FEEDFORWARD neural networks; COMPUTABLE functions; NATURAL numbers; RECURSIVE functions
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 20, p4309
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11204309