Corpus ID: 227012583

Machine-Learning Number Fields

@article{He2020MachineLearningNF,
  title={Machine-Learning Number Fields},
  author={Yanghui He and K. Lee and T. Oliver},
  journal={arXiv: Number Theory},
  year={2020}
}

Yanghui He, K. Lee, T. Oliver

Published 2020

Mathematics, Physics

arXiv: Number Theory

We show that standard machine-learning algorithms may be trained to predict certain invariants of algebraic number fields to high accuracy. A random-forest classifier that is trained on finitely many Dedekind zeta coefficients is able to distinguish between real quadratic fields with class number 1 and 2, to 0.96 precision. Furthermore, the classifier is able to extrapolate to fields with discriminant outside the range of the training data. When trained on the coefficients of defining… CONTINUE READING

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