![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
![Image for the paper "Machine learning class numbers of real quadratic fields"](/media/lmobc0gjte5mprao.png)
AI for real quadratic fields
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)