Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics
Hilbert series, machine learning, and applications to physics

Machine learning Hilbert series

Neural networks find efficient ways to compute the Hilbert series, an important counting function in algebraic geometry and gauge theory.

Hilbert series, machine learning, and applications to physics

Physics Letters B 827, 136966 (2022)

J. Bao, Y. He, E. Hirst, J. Hofscheier, A .Kasprzyk, S. Majumder

Physics Letters B 827, 136966 (2022)

J. Bao, Y. He, E. Hirst, J. Hofscheier, A .Kasprzyk, S. Majumder

  • Placeholder

    Physics Letters B

    AI classifies space-time

    A neural network learns to classify different types of spacetime in general relativity according to their algebraic Petrov classification.

  • Placeholder

    Physics Letters B

    Line bundle connections

    Neural networks find numerical solutions to Hermitian Yang-Mills equations, a difficult system of PDEs crucial to mathematics and physics.

  • Placeholder

    Physical Review D

    Calabi-Yau anomalies

    Unsupervised machine-learning of the Hodge numbers of Calabi-Yau hypersurfaces detects new patterns with an unexpected linear dependence.