Learning Algebraic Structures: Preliminary Investigations
@article{He2019LearningAS, title={Learning Algebraic Structures: Preliminary Investigations}, author={Y. He and M. Kim}, journal={ArXiv}, year={2019}, volume={abs/1905.02263} }
We employ techniques of machine-learning, exemplified by support vector machines and neural classifiers, to initiate the study of whether AI can "learn" algebraic structures. Using finite groups and finite rings as a concrete playground, we find that questions such as identification of simple groups by "looking" at the Cayley table or correctly matching addition and multiplication tables for finite rings can, at least for structures of small size, be performed by the AI, even after having been… CONTINUE READING
12 Citations
Machine Learning meets Number Theory: The Data Science of Birch-Swinnerton-Dyer
- Mathematics, Computer Science
- ArXiv
- 2019
- 11
- PDF
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