- title = "Automated conjecturing of {Frobenius} numbers via grammatical evolution",
- note = "Comment: 8 pages, 2 tables; added a clear introduction, otherwise reduced text significantly",
- author = "Nikola Adzaga",
- year = "2014",
- month = feb # "~17",
- keywords = "genetic algorithms, genetic programming, grammatical evolution, mathematics, number theory, mathematics, combinatorics",
- bibsource = "OAI-PMH server at export.arxiv.org",
- oai = "oai:arXiv.org:1410.0532",
-
URL = "
http://arxiv.org/abs/1410.0532",
- abstract = "Conjecturing formulae and other symbolic relations occurs frequently in number theory and combinatorics. If we could automate conjecturing, we could benefit not only from speeding up, but also from finding conjectures previously out of our grasp. Grammatical evolution, a genetic programming technique, can be used for automated conjecturing in mathematics. Concretely, this work describes how one can interpret the Frobenius problem as a symbolic regression problem, and then apply grammatical evolution to it. In this manner, a few formulas for Frobenius numbers of specific quadruples were found automatically. The sketch of the proof for one conjectured formula, using lattice point enumeration method, is provided as well. Same method can easily be used on other problems to speed up and enhance the research process.",
-
notes = "See also \cite{Adzaga:2017:EM}
Faculty of Civil Engineering, University of Zagreb",
