Discovering an Algebraic Structure

Project Overview

This project aims to discover an algebraic structure using a Neural Network.

Base Algorithm

The base algorithm used for this project can be found in the Base.py file in the repository.

Tools

In this project, we used:

Python as the programming language,
The PyTorch Library,
Mathematical Modeling.

For this project, we used the base document "Abstract_vector_space.pdf" which is in the git repo. The file base.py contains the implementation of the Neural Networks used to achieve the set objectives.

To reproduce the results of this project:

clone the git repo

Create a virtual environment

python3 -m venv env
source env/bin/activate

Install the necessary dependencies:
```
pip install -r requirements.txt
```

To buid the Project ,go to the directory and run

cd chemin/vers/mon_projet/make

This will generate the PDF version of the Notebook with the obtained results. The notebook contains two parts, one with the variables for the test chosen according to a normal distribution and we reproduce the same results this time with $\alpha$ taken between -5 and 5.

Contributors

Details

For more details, Kindly consult the report and the Notebook pdf files