English

Inception Neural Network for Complete Intersection Calabi-Yau 3-folds

High Energy Physics - Theory 2021-02-18 v2 Machine Learning Algebraic Geometry

Abstract

We introduce a neural network inspired by Google's Inception model to compute the Hodge number h1,1h^{1,1} of complete intersection Calabi-Yau (CICY) 3-folds. This architecture improves largely the accuracy of the predictions over existing results, giving already 97% of accuracy with just 30% of the data for training. Moreover, accuracy climbs to 99% when using 80% of the data for training. This proves that neural networks are a valuable resource to study geometric aspects in both pure mathematics and string theory.

Keywords

Cite

@article{arxiv.2007.13379,
  title  = {Inception Neural Network for Complete Intersection Calabi-Yau 3-folds},
  author = {Harold Erbin and Riccardo Finotello},
  journal= {arXiv preprint arXiv:2007.13379},
  year   = {2021}
}

Comments

13 pages; improved ablation study, additional figures, references updated