mlsanityData to 7 Oct 2026

The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning

arXiv 1812.02893 ↗First posted 7 Dec 2018hep-th math-ph math.AGcited by 19

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Abstract (arXiv)

We present a pedagogical introduction to the recent advances in the computational geometry, physical implications, and data science of Calabi-Yau manifolds. Aimed at the beginning research student and using Calabi-Yau spaces as an exciting play-ground, we intend to teach some mathematics to the budding physicist, some physics to the budding mathematician, and some machine-learning to both. Based on various lecture series, colloquia and seminars given by the author in the past year, this writing is a very preliminary draft of a book to appear with Springer, by whose kind permission we post to ArXiv for comments and suggestions.

Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Dec 2018.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 5; 2022: 6; 2023: 5; 2024: 2; 2025: 0; 2026: 1.

19 papers.

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  1. 2021Machine-Learning Mathematical Structurescited by 25
  2. 2021Machine Learning Calabi-Yau Hypersurfacescited by 15
  3. 2021Neurons on Amoebaecited by 11
  4. 2021Calabi-Yau Metrics, Energy Functionals and Machine-Learningcited by 9
  5. 2022Cluster Algebras: Network Science and Machine Learningcited by 9
  6. 2023Machine Learning Clifford invariants of ADE Coxeter elementscited by 6
  7. 2024A Triumvirate of AI Driven Theoretical Discoverycited by 5
  8. 2023Constructing and Machine Learning Calabi-Yau Five-foldscited by 4
  9. 2022Machine Learning Algebraic Geometry for Physicscited by 3
  10. 2022From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlookcited by 2
  11. 2022Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learningcited by 2
  12. 2024Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architecturescited by 2
7 more
  1. 2022Machine-Learning the Classification of Spacetimescited by 1
  2. 2022Machine Learning on generalized Complete Intersection Calabi-Yau Manifoldscited by 1
  3. 2023Deep learning complete intersection Calabi-Yau manifoldscited by 1
  4. 2021Measuring global properties of neural generative model outputs via generating mathematical objectscited by 0
  5. 2023Calabi-Yau Four/Five/Six-folds as mathbbPnw Hypersurfaces: Machine Learning, Approximation, and Generationcited by 0
  6. 2023Learning to be Simplecited by 0
  7. 2026Murmurations: a case study in AI-assisted mathematicscited by 0