# AI for real* *quadratic fields

Supervised learning experiments involving real quadratic fields lead to machine-learned formulas for class numbers 1, 2 and 3, for our dataset.

## Machine learning class numbers of real quadratic fields

*International Journal of Data Science in the Mathematical Sciences* (2023)

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 separating class numbers of matching/different parity from a data-scientific perspective, apply the methodology of feature analysis and principal component analysis, and use symbolic classification to develop machine-learned formulas for class numbers 1, 2 and 3 that apply to our dataset.

*International Journal of Data Science in the Mathematical Sciences* (2023)