Evolutionary Algorithms for the Design of Orthogonal Latin Squares Based on Cellular Automata

Created by W.Langdon from gp-bibliography.bib Revision:1.7630

@InProceedings{Mariot:2017:GECCO,

• author = "Luca Mariot and Stjepan Picek and Domagoj Jakobovic and Alberto Leporati",
• title = "Evolutionary Algorithms for the Design of Orthogonal Latin Squares Based on Cellular Automata",
• booktitle = "Proceedings of the Genetic and Evolutionary Computation Conference",
• series = "GECCO '17",
• year = "2017",
• isbn13 = "978-1-4503-4920-8",
• address = "Berlin, Germany",
• pages = "306--313",
• size = "8 pages",
• URL = "http://doi.acm.org/10.1145/3071178.3071284",
• DOI = "doi:10.1145/3071178.3071284",
• acmid = "3071284",
• publisher = "ACM",
• publisher_address = "New York, NY, USA",
• keywords = "genetic algorithms, genetic programming, boolean functions, cellular automata, nonlinearity, orthogonal latin squares, pairwise balancedness, quaternary strings",
• month = "15-19 " # jul,
• abstract = "We investigate the design of Orthogonal Latin Squares (OLS) by means of Genetic Algorithms (GA) and Genetic Programming (GP). Since we focus on Latin squares generated by Cellular Automata (CA), the problem can be reduced to the search of pairs of Boolean functions that give rise to OLS when used as CA local rules. As it is already known how to design CA-based OLS with linear Boolean functions, we adopt the evolutionary approach to address the nonlinear case, experimenting with different encodings for the candidate solutions. In particular, for GA we consider single bitstring, double bitstring and quaternary string encodings, while for GP we adopt a double tree representation. We test the two metaheuristics on the spaces of local rules pairs with n = 7 and n = 8 variables, using two fitness functions. The results show that GP is always able to generate OLS, even if the optimal solutions found with the first fitness function are mostly linear. On the other hand, GA achieves a remarkably lower success rate than GP in evolving OLS, but the corresponding Boolean functions are always nonlinear.",
• notes = "Also known as \cite{Mariot:2017:EAD:3071178.3071284} GECCO-2017 A Recombination of the 26th International Conference on Genetic Algorithms (ICGA-2017) and the 22nd Annual Genetic Programming Conference (GP-2017)",

}

Genetic Programming entries for Luca Mariot Stjepan Picek Domagoj Jakobovic Alberto Leporati

Citations