This repository contains code which evaluates the abilities of Real, Complex, and quaternion based Dense Layers to solve the 4-bit parity check problem. It demonstrates the effectiveness of using other algebras to reduce the size of Neural Networks for a given task.

Install requirements for experiments with pip:

pip install numpy Theano keras tensorflow

Depending on your Python installation you might want to use anaconda or other tools.

1. Run models:

python xor.py

Parameters can be modified directly in xor.py, such as:

• Number of epochs
• Batch Size
• Optimizer

This work is based on the original paper of Tohru Nitta: "A Solution to the 4-bit Parity Problem with a Single Quaternary Neuron"