English

A note on the complex and bicomplex valued neural networks

Machine Learning 2022-02-08 v1 Information Theory math.IT Optimization and Control

Abstract

In this paper we first write a proof of the perceptron convergence algorithm for the complex multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the perceptron convergence algorithm for the bicomplex multivalued neural networks (BMVNNs) and other important results in the theory of neural networks based on a bicomplex algebra.

Keywords

Cite

@article{arxiv.2202.02354,
  title  = {A note on the complex and bicomplex valued neural networks},
  author = {Daniel Alpay and Kamal Diki and Mihaela Vajiac},
  journal= {arXiv preprint arXiv:2202.02354},
  year   = {2022}
}
R2 v1 2026-06-24T09:20:52.918Z