arXiv Open Access 2025

Mathematical Data Science

Michael R. Douglas Kyu-Hwan Lee

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.HO cs.LG math.CO math.NT math.RT

Penulis (2)

Michael R. Douglas

Kyu-Hwan Lee

Format Sitasi

APA MLA BibTeX

Douglas, M.R., Lee, K. (2025). Mathematical Data Science. https://arxiv.org/abs/2502.08620

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓