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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.
1902
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K. Bull, Y.-H. He, V. Jejjala and C. Mishra, Getting CICY High , Phys. Lett. B 795
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M. Kreuzer and H. Skarke, Complete classification of reflexive polyhedra in four-dimensions , Adv. Theor. Math. Phys. 4
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2003
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M. Kreuzer and H. Skarke, PALP: A Package for analyzing lattice polytopes with applications to toric geometry , Comput. Phys. Commun. 157
2004
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V. Braun, Y.-H. He, B. A. Ovrut and T. Pantev, A Heterotic standard model , Phys. Lett. B 618
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V. Bouchard and R. Donagi, An SU(5) heterotic standard model , Phys. Lett. B 633
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2007
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2017
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D. Krefl and R.-K. Seong, Machine learning of Calabi-Yau volumes , Phys. Rev. D96
2017
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F. Ruehle, Evolving neural networks with genetic algorithms to study the string landscape , JHEP 08
2017
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2017
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2017
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K. Bull, Y.-H. He, V. Jejjala and C. Mishra, Machine Learning CICY Threefolds , Phys. Lett. B 785
2018
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2018
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M. Innes, Flux: Elegant machine learning with julia , Journal of Open Source Software (2018)
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2019
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F. Ruehle, Data science applications to string theory , Phys. Rept. 839
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2020
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A. Davies, P. Velickovic, L. Buesing, S. Blackwell, D. Zheng, N. Tomasev et al., Advancing mathematics by guiding human intuition with ai , Nature 600
2021
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