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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}
}

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 definingâ€¦Â CONTINUE READING