Rigor with machine learning from field theory to the Poincaré conjecture
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 …
blackbox. How could they then be used in fields such as theoretical physics and pure …
Moduli stabilization in string theory
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 …
summarize current methods for construction and analysis of vacua with stabilized moduli …
Machine learning Calabi-Yau hypersurfaces
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 …
hypersurfaces equipped with a diverse set of tools from the machine-learning toolbox …
Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds
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 …
metrics for complete intersection and Kreuzer–Skarke (KS) CY manifolds at any point in …
Snowmass white paper: cosmology at the theory frontier
The precision cosmological model describing the origin and expansion history of the
universe, with observed structure seeded at the inflationary cosmic horizon, demands …
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
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 …
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 …
from machine-learning mathematical data that have been compiled over the years. Focusing …
Neural network approximations for Calabi-Yau metrics
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 …
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
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 …
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
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 …
complex dimension five defined via weight systems of six weights. In this work, neural …