Optimization of coefficients of lists of polynomials by evolutionary algorithms
Editor
Líceum University Press
Fecha de publicación
2015Patrocinadores
Ministerio de Ciencia e Innovación
Cita bibliográfica
Annales Mathematicae et Informaticae, 2015, v. 44, p. 177-185
Palabras clave
Optimization of parametrizations
symbolic computation
evolutionary computation
evolution strategies
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/publishedVersion
Versión del editor
http://ami.ektf.huDerechos
(c) Annales Mathematicae et Informaticae, 2015
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We here discuss the optimization of coefficients of lists of polynomials
using evolutionary computation. The given polynomials have 5 variables,
namely t, a1, a2, a3, a4, and integer coefficients. The goal is to find integer
values i, with i 2 {1, 2, 3, 4}, substituting ai such that, after crossing out
the gcd (greatest common divisor) of all coefficients of the polynomials, the
resulting integers are minimized in absolute value. Evolution strategies, a
special class of heuristic, evolutionary algorithms, are here used for solving
this problem. In this paper we describe this approach in detail and analyze
test results achieved for two benchmark problem instances; we also show a
visual analysis of the fitness landscapes of these problem instances
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- MATEMATIC - Artículos [172]