Machine Learning Algebraic Geometry for Physics
Not on the map. Why?
Abstract (arXiv)
We review some recent applications of machine learning to algebraic geometry and physics. Since problems in algebraic geometry can typically be reformulated as mappings between tensors, this makes them particularly amenable to supervised learning. Additionally, unsupervised methods can provide insight into the structure of such geometrical data. At the heart of this programme is the question of how geometry can be machine learned, and indeed how AI helps one to do mathematics. This is a chapter contribution to the book Machine learning and Algebraic Geometry, edited by A. Kasprzyk et al.
Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 20 of its 100 references that are in the map. First posted on arXiv 21 Apr 2022.
Builds on
20 of 100 references.
References · 20
- 2022Generative Adversarial Networkscited by 5,603
- 2020Neural Network Approximations for Calabi-Yau Metricscited by 32
- 2017A Geometric View of Optimal Transportation and Generative Modelcited by 31
- 2021Learning Size and Shape of Calabi-Yau Spacescited by 28
- 2021Machine-Learning Mathematical Structurescited by 25
- 2018Machine Learning CICY Threefoldscited by 22
- 2017Deep-Learning the Landscapecited by 21
- 2018The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learningcited by 19
- 2020Quiver Mutations, Seiberg Duality and Machine Learningcited by 19
- 2020Machine Learning Calabi-Yau Four-foldscited by 17
- 2019Learning Algebraic Structures: Preliminary Investigationscited by 15
- 2021Machine Learning Calabi-Yau Hypersurfacescited by 15
8 more
- 2020Graph Laplacians, Riemannian Manifolds and their Machine-Learningcited by 12
- 2021Neurons on Amoebaecited by 11
- 2021Deep multi-task mining Calabi-Yau four-foldscited by 11
- 2020Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curvescited by 10
- 2021Heterotic String Model Building with Monad Bundles and Reinforcement Learningcited by 10
- 2022Cluster Algebras: Network Science and Machine Learningcited by 9
- 2022From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlookcited by 2
- 2019Realizing Continual Learning through Modeling a Learning System as a Fiber Bundlecited by 1
Built on by
Citing papers per year: 2023: 2; 2024: 0; 2025: 1.
3 papers.
- 2023Machine Learning Clifford invariants of ADE Coxeter elementscited by 6
- 2025Machine Learning meets Algebraic Combinatorics: A Suite of Datasets Capturing Research-level Conjecturing Ability in Pure Mathematicscited by 5
- 2023Calabi-Yau Four/Five/Six-folds as mathbbPnw Hypersurfaces: Machine Learning, Approximation, and Generationcited by 0
- 2025Machine Learning meets Algebraic Combinatorics: A Suite of Datasets Capturing Research-level Conjecturing Ability in Pure Mathematics9 Mar 2025
- 2023Calabi-Yau Four/Five/Six-folds as mathbbPnw Hypersurfaces: Machine Learning, Approximation, and Generation28 Nov 2023
- 2023Machine Learning Clifford invariants of ADE Coxeter elements29 Sep 2023