Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds

16 Dec 2021  ·  Per Berglund, Ben Campbell, Vishnu Jejjala ·

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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