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 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