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Bibliographic record number: 891466


Authors: Mariot, Luca; Picek, Stjepan; Jakobović, Domagoj; Leporati, Alberto
Title: Evolutionary algorithms for the design of orthogonal latin squares based on cellular automata
( Evolutionary algorithms for the design of orthogonal latin squares based on cellular automata )
Source: Proceedings of the Genetic and Evolutionary Computation Conference Pages
Meeting: Genetic and Evolutionary Computation Conference, GECCO 2017
Location and date: Berlin, Njemačka, 15-19.07.2017.
Keywords: Orthogonal Latin Squares
( Orthogonal Latin Squares )
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.
Type of meeting: Predavanje
Type of presentation in a journal: Full-text (1500 words and more)
Type of peer-review: International peer-review
Project / theme: HRZZ-IP-2014-09-4882
Original language: eng
Category: Znanstveni
Research fields:
Computer science
Full paper text: 891466.CAandLatinSquares.pdf (tekst priložen 15. Ruj. 2017. u 09:04 sati)
Contrib. to CROSBI by: Karlo Knežević (, 12. Ruj. 2017. u 12:42 sati

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