GAMathematica

Latest version of code: 9th June 2022.

This repository contains the code for a Genetic Algorithm (GA), implemented in Mathematica. This was intended for use in the paper: https://doi.org/10.1002/prop.202200034.

Installation

It's possible to use the package without installing, if you have access to the internet. Simply run

Get["https://raw.githubusercontent.com/harveyThomas4692/GAMathematica/\
main/Genetic.m"]

in the Mathematica Kernel.

Alternatively, if you wish to use the package without internet access, you will need to install it. To install the package, please copy "Genetic.m" into your Mathematica "Applications" folder. This can be found in "Home_Directory/.Mathematica/Applications", where your home directory can be found by running

$HomeDirectory

in the Mathematica kernel. The package can then be imported by running the line

Get["Genetic`"]

In either case, this has correctly imported the package if the following appears

Examples

There is currently one example notebook that can be found in the examples folder. This example demonstrated how GA can be used to find factors of integers.

Integer Factors

This simple example uses a this GA package to factorise a specified integer. This example may also be useful to some in demonstrating how one can connect custom functions to this package.

Monad Bundles (Code Not available)

This code has been used to find realistic string vacua from Heterotic String theory via Monad Bundles on smooth Calabi-Yau manifolds. All information on this can be found on SPIRES: https://inspirehep.net/literature/1953720

Building Potentials for Cosmic Inflation (Code Not available)

The code has been used to construct models of cosmic inflation by tuning the parameters of the potential to satisfy the constraints from observation. Several different types of inflation are considered. All information can be found on SPIRES: https://inspirehep.net/literature/2143723

Use

Documentation is built into the package. This can be accessed by running the following lines in Mathematica:

?Genetic

?GeneticOptions

?GeneticModules

Similarly, any function listed in this last command has their own documentation. This can be found by running

?"FunctionName"

I also suggest looking at the examples, as these demonstrate how one can connect custom functions to this package.

Citation

If you use this code, please cite the following bib entries:

@article{GApackage,
  author = "Abel, Steven and Constantin, Andrei and Harvey, Thomas R. and Lukas, Andre",
  title = "{Mathematica package for Genetic Algorithms}",
  url="https://github.com/harveyThomas4692/GAMathematica",
  note="https://github.com/harveyThomas4692/GAMathematica"
}

@article{Abel:2021rrj,
    author = "Abel, Steven and Constantin, Andrei and Harvey, Thomas R. and Lukas, Andre",
    title = "{Evolving Heterotic Gauge Backgrounds: Genetic Algorithms versus Reinforcement Learning}",
    eprint = "2110.14029",
    archivePrefix = "arXiv",
    primaryClass = "hep-th",
    doi = "10.1002/prop.202200034",
    journal = "Fortsch. Phys.",
    volume = "70",
    number = "5",
    pages = "2200034",
    year = "2022"
}

@article{Abel:2022nje,
    author = "Abel, Steven and Constantin, Andrei and Harvey, Thomas R. and Lukas, Andre",
    title = "{Cosmic Inflation and Genetic Algorithms}",
    eprint = "2208.13804",
    archivePrefix = "arXiv",
    primaryClass = "hep-th",
    reportNumber = "IPPP/22/64",
    month = "8",
    year = "2022"
}