English

Can machine learning identify interesting mathematics? An exploration using empirically observed laws

Machine Learning 2018-09-11 v3 Artificial Intelligence Machine Learning

Abstract

We explore the possibility of using machine learning to identify interesting mathematical structures by using certain quantities that serve as fingerprints. In particular, we extract features from integer sequences using two empirical laws: Benford's law and Taylor's law and experiment with various classifiers to identify whether a sequence is, for example, nice, important, multiplicative, easy to compute or related to primes or palindromes.

Keywords

Cite

@article{arxiv.1805.07431,
  title  = {Can machine learning identify interesting mathematics? An exploration using empirically observed laws},
  author = {Chai Wah Wu},
  journal= {arXiv preprint arXiv:1805.07431},
  year   = {2018}
}

Comments

9 pages, minor edits and fixed typos

R2 v1 2026-06-23T02:00:41.166Z