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Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds

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arxiv 2112.09117 v1 pith:XYBACJGI submitted 2021-12-16 hep-th cs.LGmath.AG

Per Berglund , Ben Campbell , Vishnu Jejjala This is my paper · ORCID
classification hep-thcs.LGmath.AG
keywords calabi--yaukreuzer--skarkeassociatedclassconnectedconstructeddatadatabase
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Using a fully connected feedforward neural network we study topological invariants of a class of Calabi--Yau manifolds constructed as hypersurfaces in toric varieties associated with reflexive polytopes from the Kreuzer--Skarke database. In particular, we find the existence of a simple expression for the Euler number that can be learned in terms of limited data extracted from the polytope and its dual.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hodge numbers for orbifolds of Calabi-Yau threefolds Fermat type and the Roan pairs

    hep-th 2026-07 reject novelty 5.0 of 10

    For all Fermat-type Calabi-Yau threefold orbifolds, a Roan-pair counting recipe is claimed to reproduce string-theoretic Euler numbers; for ten cases it matches Borcea-Voisin mirrors.

  2. Generative AI for Brane Configurations and Coamoeba

    hep-th 2024-11 conditional novelty 4.0 of 10

    A CVAE trained on F0 coamoeba generates new coamoeba at finer complex structure moduli, yielding a near-continuous phase diagram of toric phases and Seiberg duality transitions.

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