Machine Learning Class Numbers of Real Quadratic Fields

Oliver, T., Amir, M., He, Y.-H., Lee, K.-H. and Sultanow, E. 2023. Machine Learning Class Numbers of Real Quadratic Fields. International Journal of Data Science in the Mathematical Sciences. 1 (2), pp. 107-134. https://doi.org/10.1142/s2810939223500016

TitleMachine Learning Class Numbers of Real Quadratic Fields
TypeJournal article
AuthorsOliver, T., Amir, M., He, Y.-H., Lee, K.-H. and Sultanow, E.
Abstract

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.

JournalInternational Journal of Data Science in the Mathematical Sciences
Journal citation1 (2), pp. 107-134
ISSN2810-9392
2810-9406
Year2023
PublisherWorld Scientific Publishing
Accepted author manuscript
File Access Level
Open (open metadata and files)
Digital Object Identifier (DOI)https://doi.org/10.1142/s2810939223500016
Publication dates
Published online09 Dec 2023

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