21 citations · 67 across the 13 of their papers we have counts for
8 papers · 1 filter
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…
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…