Principal component particle swarm optimization: a step towards topological swarm intelligence

Particle swarm optimization (PSO) is based on the notion of particles flying through solution space. Each particle is assumed to have n-dimensions that are mapped to the variables of the function that is being evaluated. The standard PSO algorithm updates a particle´s position by moving towards the particle´s past personal best and the best particle that has been found. This paper introduces the principal component particle swarm optimization (PCPSO) procedure. The PCPSO flies the particles in two separates spaces at the same time; the traditional n-dimensional x space and a rotated m-dimensional z space where mlesn