Geometric Differential Evolution



Geometric Particle Swarm Optimization (GPSO) is a recently
introduced formal generalization of traditional Particle Swarm
Optimization (PSO) that applies naturally to both continuous and
combinatorial spaces. Differential Evolution (DE) is similar to PSO
but it uses different equations governing the motion of the
particles. This paper generalizes the DE algorithm to combinatorial
search spaces extending its geometric interpretation to these
spaces, analogously as what was done for the traditional PSO
algorithm. Using this formal algorithm, Geometric Differential
Evolution (GDE), we formally derive the specific GDE for the Hamming
space associated with binary strings and present experimental
results on a standard benchmark of problems.


Genetic and Evolutionary Computation Conference, January 2009

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