Mathematical Data Science
History and Overview
2025-02-14 v1 Machine Learning
Combinatorics
Number Theory
Representation Theory
Abstract
Can machine learning help discover new mathematical structures? In this article we discuss an approach to doing this which one can call "mathematical data science". In this paradigm, one studies mathematical objects collectively rather than individually, by creating datasets and doing machine learning experiments and interpretations. After an overview, we present two case studies: murmurations in number theory and loadings of partitions related to Kronecker coefficients in representation theory and combinatorics.
Cite
@article{arxiv.2502.08620,
title = {Mathematical Data Science},
author = {Michael R. Douglas and Kyu-Hwan Lee},
journal= {arXiv preprint arXiv:2502.08620},
year = {2025}
}