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math.NT2020★ 13 cited
Machine-Learning Number Fields
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver
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 train…
math.NT2020★ 17 cited
Machine-Learning the Sato--Tate Conjecture
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver
We apply some of the latest techniques from machine-learning to the arithmetic of hyperelliptic curves. More precisely we show that, with impressive accuracy and confidence (betwee…