21 citations · 80 across the 14 of their papers we have counts for
15 papers
The Kähler-Einstein metric on the third Del Pezzo surface
Timothy Buttsworth, William Hadden, Elli Heyes +2
The compact four-dimensional manifold is known to admit a toric Kähler-Einstein metric , but the metric is not known in c…
New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction
Paul Orland, Lucas Fagan, Michele Tarquini +7
The snake-in-the-box problem asks for a longest induced path in the hypercube graph . We find a length-191 snake in dimension , the lowest dimension where the maximum is…
Neural and numerical methods for -structures on contact Calabi-Yau 7-manifolds
Elli Heyes, Edward Hirst, Henrique N. Sá Earp +1
A numerical framework for approximating -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…
Bayesian inference on Calabi--Yau moduli spaces and the axiverse: experimental data meets string theory
Mudit Jain, Elijah Sheridan, David J. E. Marsh +3
We develop tools of Bayesian inference on the moduli space of Calabi--Yau (CY) manifolds. We sample from the invariant Weil--Petersson (WP) measure using Markov Chain Monte Carlo a…
Generating Triangulations and Fibrations with Reinforcement Learning
Per Berglund, Giorgi Butbaia, Yang-Hui He +3
We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate tha…
Learning 3-Manifold Triangulations
Francesco Costantino, Yang-Hui He, Elli Heyes +1
Real 3-manifold triangulations can be uniquely represented by isomorphism signatures. Databases of these isomorphism signatures are generated for a variety of 3-manifolds and knot…
Machine learning Sasakian and topology on contact Calabi-Yau -manifolds
Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3
We propose a machine learning approach to study topological quantities related to the Sasakian and -geometries of contact Calabi-Yau -manifolds. Specifically, we compute da…
Machine Learning Clifford invariants of ADE Coxeter elements
Siqi Chen, Pierre-Philippe Dechant, Yang-Hui He +3
There has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric…
New Calabi-Yau Manifolds from Genetic Algorithms
Per Berglund, Yang-Hui He, Elli Heyes +3
Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algor…
Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Anthony Ashmore, Yang-Hui He, Elli Heyes +1
We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approxim…
Machine Learning in Physics and Geometry
Yang-Hui He, Elli Heyes, Edward Hirst
We survey some recent applications of machine learning to problems in geometry and theoretical physics. Pure mathematical data has been compiled over the last few decades by the co…
Clustering Cluster Algebras with Clusters
Man-Wai Cheung, Pierre-Philippe Dechant, Yang-Hui He +3
Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct application to computations of scat…
Machine Learning Algebraic Geometry for Physics
Jiakang Bao, Yang-Hui He, Elli Heyes +1
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 ten…
Cluster Algebras: Network Science and Machine Learning
Pierre-Philippe Dechant, Yang-Hui He, Elli Heyes +1
Cluster algebras have recently become an important player in mathematics and physics. In this work, we investigate them through the lens of modern data science, specifically with t…
Brain Webs for Brane Webs
Guillermo Arias-Tamargo, Yang-Hui He, Elli Heyes +2
We propose a new technique for classifying 5d Superconformal Field Theories arising from brane webs in Type IIB String Theory, using technology from Machine Learning to identify di…