From the 1 of 5 linked papers with an AI index.
5 papers
A Census of New Snake-in-the-Box Records
Paul Orland, Lucas Fagan, Michele Tarquini +7
The paper presents new longest induced (chordless) paths, called snakes, in hypercube graphs for dimensions 9 through 13, thereby improving the known lower bounds for the snake-in-…
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…
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…
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…