236 citations
- London Institute for Mathematical SciencesGB33 papers
- University of OxfordGB22 papers
- City, University of LondonGB18 papers
- Nankai UniversityCN18 papers
- University College LondonGB9 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Queen Mary University of LondonGB6 papers
- Rutherford Appleton LaboratoryGB4 papers
- University of ConnecticutUS4 papers
- Institut de Mathématiques de BourgogneFR3 papers
- Institut Laue-LangevinFR3 papers
- National Institute for Theoretical PhysicsZA3 papers
4 papers · 1 filter
Machine Learning Class Numbers of Real Quadratic Fields
Malik Amir, Yang-Hui He, Kyu-Hwan Lee +2
We implement and interpret various supervised learning experiments involving real quadratic fields with class numbers 1, 2 and 3. We quantify the relative difficulties in separatin…
Murmurations of elliptic curves
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver +1
We investigate the average value of the Frobenius trace at p over elliptic curves in a fixed conductor range with given rank. Plotting this average as p varies over the primes yiel…
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 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…