Learning Capability of a Simple Neural Network

  • Dranreb Earl Juanico
  • Christopher Monterola
  • Caesar Saloma

Abstract

We demonstrate that a neural network composed of only three nodes and three connections arranged in a 2-inputs, 1-middle, 1-output architecture is able to perform differentiation of univariate functions (Đ). Using a proposed empirical technique, we assess the network’s generalization capability by approximating a functional form for the growth function ΔF(N). We calculated the probability of error to be ≈10^-7 allowing us to justify the effectiveness of the simplistic approach in modeling a non-trivial task such as Đ.
Published
2012-07-03
How to Cite
JUANICO, Dranreb Earl; MONTEROLA, Christopher; SALOMA, Caesar. Learning Capability of a Simple Neural Network. Science Diliman: A Journal of Pure and Applied Sciences, [S.l.], v. 13, n. 2, july 2012. ISSN 2012-0818. Available at: <https://journals.upd.edu.ph/index.php/sciencediliman/article/view/186>. Date accessed: 04 aug. 2025.
Section
Articles

Keywords

architecture; differentiation; generalization; growth function

Most read articles by the same author(s)

1 2 > >>