A genetic algorithm for the 1D electron gas

Formation of Regression Model for Analysis of Complex Systems Using Methodology of Genetic Algorithms

“…In the case when the number of the input factors is not large, such problems are solved by the so called brute force method [16]. However, when there are a sufficiently large number of the input factors, solution to this problem can be obtained using the machine learning methods, for example, using the genetic algorithms [5,[17][18][19][20][21][22].…”

Genetic algorithm for the pair distribution function of the electron gas

“…It is worth mentioning that in the genetic algorithm me have develop for the 1D electron gas in Ref. [32], instead of using the RPA pseudopotential in Eq. ( 9) we assume that u (r) is an unknown function and the algorithm is designed to completely obtain it.…”

“…In Physics they have been used in calculations that involve from simple quantum systems [27] to astrophysical systems [28], running through lattice models for spin glasses [29], molecules [30] and clusters [31]. More recently [32] we have developed a genetic algorithm for the PDF of the one-dimensional electron gas in what, at our knowledge, is the first application of this kind of algorithm to describe many-body systems in the thermodynamic limit..…”

High-dimensional objective optimizer: An evolutionary algorithm and its nonlinear analysis

“…Recent years have witnessed significant progress in the development of evolutionary algorithms (EAs) for multi-objective optimization problems (Huang & Liu, 2010;Knowles & Corne, 2000;Lara, Sanchez, Coello Coello, & Schütze, 2010;Li & Zhang, 2009;Siegfried, Bleuler, Laumanns, Zitzler, & Kinzelbach, 2009;Soylu & Köksalan, 2010;Stoico, Renzi, & Vericat, 2008;Wanner, Guimaraes, Takahashi, Lowther, & Ramirez, 2008;Xue, Sanderson, & Graves, 2009;Yang, Kwan, & Chang, 2008). Multi-objective evolutionary algorithms (MOEAs) aim at finding a set of representative Pareto optimal solutions in a single run.…”