1 code implementation • 15 May 2024 • Francesco Costantino, Yang-Hui He, Elli Heyes, Edward Hirst
Real 3-manifold triangulations can be uniquely represented by isomorphism signatures.
1 code implementation • 28 Nov 2023 • Edward Hirst, Tancredi Schettini Gherardini
Using the knowledge of this classification, and the properties of the presented approximation, a novel dataset of transverse weight systems consisting of 7 weights was generated for a sum of weights $\leq 200$; producing a new database of Calabi-Yau five-folds, with their respective topological properties computed.
1 code implementation • 29 Sep 2023 • Siqi Chen, Pierre-Philippe Dechant, Yang-Hui He, Elli Heyes, Edward Hirst, Dmitrii Riabchenko
This provides the perfect setup for machine learning, and indeed we see that the datasets can be machine learned to very high accuracy.
no code implementations • 21 Apr 2022 • Jiakang Bao, Yang-Hui He, Elli Heyes, Edward Hirst
We review some recent applications of machine learning to algebraic geometry and physics.
1 code implementation • 25 Mar 2022 • Pierre-Philippe Dechant, Yang-Hui He, Elli Heyes, Edward Hirst
Network analysis methods are applied to the exchange graphs for cluster algebras of varying mutation types.
1 code implementation • 12 Dec 2021 • David S. Berman, Yang-Hui He, Edward Hirst
We revisit the classic database of weighted-P4s which admit Calabi-Yau 3-fold hypersurfaces equipped with a diverse set of tools from the machine-learning toolbox.
no code implementations • 7 Jun 2021 • Jiakang Bao, Yang-Hui He, Edward Hirst
We apply methods of machine-learning, such as neural networks, manifold learning and image processing, in order to study 2-dimensional amoebae in algebraic geometry and string theory.
no code implementations • 10 Apr 2020 • Yang-Hui He, Edward Hirst, Toby Peterken
We apply machine-learning to the study of dessins d'enfants.