Examination of Particle Tails | Zendy

Tim Blackwell | Zendy; Dan Bratton | Zendy

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Examination of Particle Tails

Author(s) -

Tim Blackwell,

Dan Bratton

Publication year - 2008

Publication title -

journal of artificial evolution and applications

Language(s) - English

Resource type - Journals

eISSN - 1687-6237

pISSN - 1687-6229

DOI - 10.1155/2008/893237

Subject(s) - randomness , multiplicative function , mathematics , power law , statistical physics , position (finance) , particle swarm optimization , particle (ecology) , distribution (mathematics) , physics , mathematical analysis , classical mechanics , mathematical optimization , statistics , economics , oceanography , finance , geology

The tail of the particle swarm optimisation (PSO) position distribution at stagnation is shown to be describable by a power law. This tail fattening is attributed to particle bursting on all length scales. The origin of the power law is concluded to lie in multiplicative randomness, previously encountered in the study of first-order stochastic difference equations, and generalised here to second-order equations. It is argued that recombinant PSO, a competitive PSO variant without multiplicative randomness, does not experience tail fattening at stagnation.

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