We use machine learning to predict the dimension of a lattice polytope directly from its Ehrhart series. This is highly effective, achieving almost 100% accuracy. We also use machine learning to recover the volume of a lattice polytope from its Ehrhart series, and to recover the dimension, volume, and quasi-period of a rational polytope from its Ehrhart series. In each case we achieve very high accuracy, and we propose mathematical explanations for why this should be so.
@article{arxiv.2207.07717,
title = {Machine Learning the Dimension of a Polytope},
author = {Tom Coates and Johannes Hofscheier and Alexander Kasprzyk},
journal= {arXiv preprint arXiv:2207.07717},
year = {2022}
}