Rigor with machine learning from field theory to the Poincaré conjecture

S Gukov, J Halverson, F Ruehle - Nature Reviews Physics, 2024 - nature.com
Despite their successes, machine learning techniques are often stochastic, error-prone and
blackbox. How could they then be used in fields such as theoretical physics and pure …

Moduli stabilization in string theory

L McAllister, F Quevedo - Handbook of Quantum Gravity, 2023 - Springer
We give an overview of moduli stabilization in compactifications of string theory. We
summarize current methods for construction and analysis of vacua with stabilized moduli …

Machine learning Calabi-Yau hypersurfaces

DS Berman, YH He, E Hirst - Physical Review D, 2022 - APS
We revisit the classic database of weighted-P 4 s which admit Calabi-Yau 3-fold
hypersurfaces equipped with a diverse set of tools from the machine-learning toolbox …

Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds

M Larfors, A Lukas, F Ruehle… - … Learning: Science and …, 2022 - iopscience.iop.org
We introduce neural networks (NNs) to compute numerical Ricci-flat Calabi–Yau (CY)
metrics for complete intersection and Kreuzer–Skarke (KS) CY manifolds at any point in …

Snowmass white paper: cosmology at the theory frontier

R Flauger, V Gorbenko, A Joyce, L McAllister… - arxiv preprint arxiv …, 2022 - arxiv.org
The precision cosmological model describing the origin and expansion history of the
universe, with observed structure seeded at the inflationary cosmic horizon, demands …

Lectures on Numerical and Machine Learning Methods for Approximating Ricci-flat Calabi-Yau Metrics

LB Anderson, J Gray, M Larfors - arxiv preprint arxiv:2312.17125, 2023 - arxiv.org
Calabi-Yau (CY) manifolds play a ubiquitous role in string theory. As a supersymmetry-
preserving choice for the 6 extra compact dimensions of superstring compactifications, these …

Machine-learning mathematical structures

YH He - International Journal of Data Science in the …, 2023 - World Scientific
We review, for a general audience, a variety of recent experiments on extracting structure
from machine-learning mathematical data that have been compiled over the years. Focusing …

Neural network approximations for Calabi-Yau metrics

V Jejjala, DKM Pena, C Mishra - Journal of High Energy Physics, 2022 - Springer
A bstract Ricci flat metrics for Calabi-Yau threefolds are not known analytically. In this work,
we employ techniques from machine learning to deduce numerical flat metrics for K3, the …

[HTML][HTML] Machine learning Sasakian and G2 topology on contact Calabi-Yau 7-manifolds

D Aggarwal, YH He, E Heyes, E Hirst, HNS Earp… - Physics Letters B, 2024 - Elsevier
We propose a machine learning approach to study topological quantities related to the
Sasakian and G 2-geometries of contact Calabi-Yau 7-manifolds. Specifically, we compute …

Calabi-Yau four-, five-, sixfolds as hypersurfaces: Machine learning, approximation, and generation

E Hirst, TS Gherardini - Physical Review D, 2024 - APS
Calabi-Yau fourfolds may be constructed as hypersurfaces in weighted projective spaces of
complex dimension five defined via weight systems of six weights. In this work, neural …