Search Results for author: Edward Hirst

Found 8 papers, 5 papers with code

Learning 3-Manifold Triangulations

1 code implementation15 May 2024 Francesco Costantino, Yang-Hui He, Elli Heyes, Edward Hirst

Real 3-manifold triangulations can be uniquely represented by isomorphism signatures.

Calabi-Yau Four/Five/Six-folds as $\mathbb{P}^n_\textbf{w}$ Hypersurfaces: Machine Learning, Approximation, and Generation

1 code implementation28 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.

Symbolic Regression

Machine Learning Clifford invariants of ADE Coxeter elements

1 code implementation29 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.

Machine Learning Algebraic Geometry for Physics

no code implementations21 Apr 2022 Jiakang Bao, Yang-Hui He, Elli Heyes, Edward Hirst

We review some recent applications of machine learning to algebraic geometry and physics.

BIG-bench Machine Learning

Cluster Algebras: Network Science and Machine Learning

1 code implementation25 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.

Graph Embedding

Machine Learning Calabi-Yau Hypersurfaces

1 code implementation12 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.

BIG-bench Machine Learning Clustering

Neurons on Amoebae

no code implementations7 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.

BIG-bench Machine Learning

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