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AI-assisted mathematical discovery: murmurations of elliptic curves

组织者

沙伊莱什·拉尔 , 哈米德·莫菲迪 , 侯赛因·亚瓦尔塔努

演讲者

Kyu-Hwan Lee

时间

2023年12月05日 16:00 至 17:30

地点

A3-1a-204

线上

Zoom 230 432 7880 (BIMSA)

摘要

Elliptic curves have been studied for a long time for their importance in number theory and applications in cryptography. In this talk, I will explain how interpretable machine learning techniques led to the discovery of a new phenomenon from the dataset of elliptic curves, called "murmuration", which shows a striking oscillating pattern. Understanding this new phenomenon has been a challenge to the number theory community, resulting in a recent hot-topics workshop at ICERM and several papers on the subject. This talk is mainly based on the paper https://arxiv.org/pdf/2204.10140.pdf and it is a collaboration with He, Oliver, Pozdnyakov and Sutherland.