Inception Neural Network for Complete Intersection Calabi-Yau 3-folds
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Abstract (arXiv)
We introduce a neural network inspired by Google's Inception model to compute the Hodge number h1,1 of complete intersection Calabi-Yau (CICY) 3-folds. This architecture improves largely the accuracy of the predictions over existing results, giving already 97% of accuracy with just 30% of the data for training. Moreover, accuracy climbs to 99% when using 80% of the data for training. This proves that neural networks are a valuable resource to study geometric aspects in both pure mathematics and string theory.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Jul 2020.
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Citing papers per year: 2021: 4; 2022: 4; 2023: 5; 2024: 1.
14 papers.
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- 2021Machine-Learning Mathematical Structurescited by 25
- 2021Machine Learning Calabi-Yau Hypersurfacescited by 15
- 2021Deep multi-task mining Calabi-Yau four-foldscited by 11
- 2022Group invariant machine learning by fundamental domain projectionscited by 11
- 2021Machine Learning Kreuzer--Skarke Calabi--Yau Threefoldscited by 8
- 2023Machine learning the dimension of a Fano varietycited by 7
- 2023Constructing and Machine Learning Calabi-Yau Five-foldscited by 4
- 2022Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learningcited by 2
- 2024Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architecturescited by 2
- 2023Deep learning complete intersection Calabi-Yau manifoldscited by 1
- 2022Trustworthiness of Laser-Induced Breakdown Spectroscopy Predictions via Simulation-based Synthetic Data Augmentation and Multitask Learningcited by 0
- 2022Characterizing 4-string contact interaction using machine learningcited by 0
- 2024Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architectures27 May 2024
- 2023Calabi-Yau Four/Five/Six-folds as mathbbPnw Hypersurfaces: Machine Learning, Approximation, and Generation28 Nov 2023
- 2023Deep learning complete intersection Calabi-Yau manifolds20 Nov 2023
- 2023Constructing and Machine Learning Calabi-Yau Five-folds24 Oct 2023
- 2023Machine learning the dimension of a Fano variety11 Sep 2023
- 2023Black holes and the loss landscape in machine learning26 Jun 2023
- 2022Characterizing 4-string contact interaction using machine learning16 Nov 2022
- 2022Trustworthiness of Laser-Induced Breakdown Spectroscopy Predictions via Simulation-based Synthetic Data Augmentation and Multitask Learning7 Oct 2022
- 2022Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learning15 Feb 2022
- 2022Group invariant machine learning by fundamental domain projections4 Feb 2022
- 2021Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds16 Dec 2021
- 2021Machine Learning Calabi-Yau Hypersurfaces12 Dec 2021
2 more
- 2021Deep multi-task mining Calabi-Yau four-folds4 Aug 2021
- 2021Machine-Learning Mathematical Structures15 Jan 2021
- 2021Machine-Learning Mathematical Structurescited by 25
- 2021Machine Learning Calabi-Yau Hypersurfacescited by 15
- 2021Deep multi-task mining Calabi-Yau four-foldscited by 11
- 2022Group invariant machine learning by fundamental domain projectionscited by 11
- 2021Machine Learning Kreuzer--Skarke Calabi--Yau Threefoldscited by 8
- 2023Machine learning the dimension of a Fano varietycited by 7
- 2023Constructing and Machine Learning Calabi-Yau Five-foldscited by 4
- 2022Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learningcited by 2
- 2024Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architecturescited by 2
- 2023Deep learning complete intersection Calabi-Yau manifoldscited by 1
- 2022Trustworthiness of Laser-Induced Breakdown Spectroscopy Predictions via Simulation-based Synthetic Data Augmentation and Multitask Learningcited by 0
- 2022Characterizing 4-string contact interaction using machine learningcited by 0
12 most cited of 14 All 14 (JSON)
- 2024Deep Learning Calabi-Yau four folds with hybrid and recurrent neural network architectures27 May 2024
- 2023Calabi-Yau Four/Five/Six-folds as mathbbPnw Hypersurfaces: Machine Learning, Approximation, and Generation28 Nov 2023
- 2023Deep learning complete intersection Calabi-Yau manifolds20 Nov 2023
- 2023Constructing and Machine Learning Calabi-Yau Five-folds24 Oct 2023
- 2023Machine learning the dimension of a Fano variety11 Sep 2023
- 2023Black holes and the loss landscape in machine learning26 Jun 2023
- 2022Characterizing 4-string contact interaction using machine learning16 Nov 2022
- 2022Trustworthiness of Laser-Induced Breakdown Spectroscopy Predictions via Simulation-based Synthetic Data Augmentation and Multitask Learning7 Oct 2022
- 2022Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learning15 Feb 2022
- 2022Group invariant machine learning by fundamental domain projections4 Feb 2022
- 2021Machine Learning Kreuzer--Skarke Calabi--Yau Threefolds16 Dec 2021
- 2021Machine Learning Calabi-Yau Hypersurfaces12 Dec 2021
12 newest of 14 All 14 (JSON)