| Texto completo | |
| Autor(es): |
Aggarwal, Daattavya
;
He, Yang-Hui
;
Heyes, Elli
;
Hirst, Edward
;
Earp, Henrique N. Sa
;
Silva, Tomas S. R.
Número total de Autores: 6
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Physics Letters B; v. 850, p. 10-pg., 2024-02-20. |
| Resumo | |
We propose a machine learning approach to study topological quantities related to the Sasakian and G(2)-geometries of contact Calabi-Yau 7-manifolds. Specifically, we compute datasets for certain Sasakian Hodge numbers and for the Crowley-N & ouml;rdstrom invariant of the natural G(2)-structure of the 7-dimensional link of a weighted projective Calabi-Yau 3-fold hypersurface singularity, for 7549 of the 7555 possible P-4(w) projective spaces. These topological quantities are then machine learnt with high performance scores, where learning the Sasakian Hodge numbers from the P-4(w) weights alone, using both neural networks and a symbolic regressor which achieve R-2 scores of 0.969 and 0.993 respectively. Additionally, properties of the respective Gr & ouml;bner bases are well-learnt, leading to a vast improvement in computation speeds which may be of independent interest. The data generation and analysis further induced novel conjectures to be raised. (AU) | |
| Processo FAPESP: | 21/04065-6 - BRIDGES: interações França-Brasil em Teoria de Calibres, estruturas extremais e estabilidade |
| Beneficiário: | Henrique Nogueira de Sá Earp |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 22/09891-4 - Geometria, topologia e ciência de dados |
| Beneficiário: | Tomas dos Santos Rodrigues e Silva |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado Direto |
| Processo FAPESP: | 18/21391-1 - Teoria de calibre e geometria algébrica |
| Beneficiário: | Marcos Benevenuto Jardim |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 20/09838-0 - BI0S - Brazilian Institute of Data Science |
| Beneficiário: | João Marcos Travassos Romano |
| Modalidade de apoio: | Auxílio à Pesquisa - Programa Centros de Pesquisa Aplicada |