We introduce a neural network inspired by Google's Inception model to compute the Hodge number h (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. 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.

Inception neural network for complete intersection Calabi–Yau 3-folds

Erbin, H;Finotello, R
2021-01-01

Abstract

We introduce a neural network inspired by Google's Inception model to compute the Hodge number h (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. 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.
2021
2
2
1
9
Calabi-Yau manifold; deep learning; string theory compactification; algebraic topology
Erbin, H; Finotello, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/2028005
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