# A note on the complex and bicomplex valued neural networks

arXiv: https://arxiv.org/abs/2202.02354 · HTML: https://mlsanity.com/paper/2202.02354/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 41 references that are in the map.
- First posted on arXiv 4 Feb 2022.

## Builds on (most cited first, 3 of 3)

- [The Strategic Perceptron](https://mlsanity.com/paper/2008.01710/) (2020)
- [Neuronal Synchrony in Complex-Valued Deep Networks](https://mlsanity.com/paper/1312.6115/) (2013)
- [Simulating a perceptron on a quantum computer](https://mlsanity.com/paper/1412.3635/) (2014)

## Abstract (arXiv)

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.