17 citations · 75 across the 17 of their papers we have counts for
4 papers · 1 filter
Machine-Learning Arithmetic Curves
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver
We show that standard machine-learning algorithms may be trained to predict certain invariants of low genus arithmetic curves. Using datasets of size around one hundred thousand, w…
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…
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…
Twisting moduli for GL(2)
Benjamin Bedert, George Cooper, Thomas Oliver +1
We prove various converse theorems for automorphic forms on Γ_0(N), each assuming fewer twisted functional equations than the last. We show that no twisting at all is needed for ho…