Particle Convergence Expected Time in The PSO Model with Inertia Weight

Krzysztof Trojanowski; Tomasz Kulpa

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Paper

Particle Convergence Expected Time in The PSO Model with Inertia Weight

Topics: Swarm/Collective Intelligence

In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 0IJCCI, 69-77, 2016 , Porto, Portugal

Authors: Krzysztof Trojanowski and Tomasz Kulpa

Affiliation: Cardinal Stefan Wyszynski University, Poland

Keyword(s): Particle Swarm with Inertia Weight, Particle Location Convergence Expected Time, Location Variance Convergence Expected Time.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Evolutionary Computing ; Soft Computing ; Swarm/Collective Intelligence

Abstract: Theoretical properties of particle swarm optimization approach with inertia weight are investigated. Particularly, we focus on the convergence analysis of the expected value of the particle location and the variance of the location. Four new measures of the expected particle convergence time are defined: (1) convergence of the expected location of the particle, (2) the particle location variance convergence and (3-4) their respective weak versions. For the first measure an explicit formula of its upper bound is also given. For the weak versions of the measures graphs of recorded values are presented.

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Paper citation in several formats:

Trojanowski, K. and Kulpa, T. (2016). Particle Convergence Expected Time in The PSO Model with Inertia Weight. In Proceedings of the 8th International Joint Conference on Computational Intelligence (IJCCI 2016) - ECTA; ISBN 978-989-758-201-1, SciTePress, pages 69-77. DOI: 10.5220/0006048700690077

@conference{ecta16,
author={Krzysztof Trojanowski. and Tomasz Kulpa.},
title={Particle Convergence Expected Time in The PSO Model with Inertia Weight},
booktitle={Proceedings of the 8th International Joint Conference on Computational Intelligence (IJCCI 2016) - ECTA},
year={2016},
pages={69-77},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006048700690077},
isbn={978-989-758-201-1},
}

TY - CONF

JO - Proceedings of the 8th International Joint Conference on Computational Intelligence (IJCCI 2016) - ECTA
TI - Particle Convergence Expected Time in The PSO Model with Inertia Weight
SN - 978-989-758-201-1
AU - Trojanowski, K.
AU - Kulpa, T.
PY - 2016
SP - 69
EP - 77
DO - 10.5220/0006048700690077
PB - SciTePress