skip to main content
10.1145/1274000.1274075acmconferencesArticle/Chapter ViewAbstractPublication PagesgeccoConference Proceedingsconference-collections
Article

On the moments of the sampling distribution of particle swarm optimisers

Published: 07 July 2007 Publication History

Abstract

A method is presented that allows one to exactly determine all the characteristics of a PSO's sampling distribution and explain how it changes over time, in the presence stochasticity. The only assumption made is stagnation (particles are in search for a better personal best).

References

[1]
Kennedy, J. (1998). The behavior of particles. In V. W. Porto, N. Saravanan, D. Waagen, and A. E. Eiben, Eds. Evolutionary Programming VII: Proc. 7th Ann. Conf. on Evolutionary Programming Conf., San Diego, CA, 581--589. Berlin: Springer-Verlag.
[2]
Engelbrecht, A. P. (2005) Fundamentals of Computational Swarm Intelligence. Wiley, November 2005.
[3]
Ozcan, E. and Mohan, C. K. (1998). Analysis of a simple particle swarm optimization system. Intelligent Engineering Systems Through Artificial Neural Networks Vol. 8, pp. 253--258.
[4]
Ozcan, E., and Mohan, C. (1999). Particle swarm optimization: surfing the waves. Proc. 1999 Congress on Evolutionary Computation, 1939--1944. Piscataway, NJ: IEEE Service Center.
[5]
Clerc, M., and Kennedy, J. (2002) The particle swarm - explosion, stability, and convergence in a multidimensional complex space. IEEE Transaction on Evolutionary Computation, 6(1):58--73, February 2002.
[6]
van den Bergh, F. (2002) An Analysis of Particle Swarm Optimizers. PhD thesis, Department of Computer Science, University of Pretoria, Pretoria, South Africa.
[7]
K. Yasuda, A. Ide, and N. Iwasaki. Adaptive particle swarm optimization. Systems, Man and Cybernetics, 2003. IEEE International Conference on, 2:1554--1559, 2003.
[8]
Iwasaki, N., and Yasuda, K. (2005) Adaptive particle swarm optimization using velocity feedback. International Journal of Innovative Computing, Information and Control, 1(3):369--380, September.
[9]
Blackwell, T. M. (2003) Particle swarms and population diversity I: Analysis. In Alwyn M. Barry, editor, GECCO 2003: Proceedings of the Bird of a Feather Workshops, Genetic and Evolutionary Computation Conference, pages 103--107, Chigaco. AAAI.
[10]
Brandstatter, B., and Baumgartner, U. (2002) Particle swarm optimization-mass-spring system analogon. Magnetics, IEEE Transactions on, 38(2):997--1000, 2002.
[11]
Trelea, I. C. (2003) The particle swarm optimization algorithm: convergence analysis and parameter selection. Information Processing Letters, 85(6):317--325.
[12]
Campana, E. F., Fasano, G., and Pinto, A. (2006) Dynamic system analysis and initial particles position in particle swarm optimization. In IEEE Swarm Intelligence Symposium, Indianapolis.
[13]
Campana, E. F., Fasano, G., Peri, D., and Pinto, A. (2006) Particle swarm optimization: Efficient globally convergent modifications. In C. A. Mota Soares et al., editor, Proceedings of the III European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering, Lisbon, Portugal.
[14]
Kennedy, J. and Mendes, R. (2002). Population structure and particle swarm performance. IEEE Congress on Evolutionary Computation, 2002 Honolulu, Hawaii USA.
[15]
Mendes, R. (2004). Population Topologies and Their Influence in Particle Swarm Performance. PhD thesis, Departamento de Informatica, Escola de Engenharia, Universidade do Minho, 2004.
[16]
Clerc, M. (2006) Stagnation analysis in particle swarm optimisation or what happens when nothing happens. Technical Report CSM-460, Department of Computer Science, University of Essex, August 2006.
[17]
Kadirkamanathan, V., Selvarajah, K., and Fleming, P. J. (2006) Stability analysis of the particle dynamics in particle swarm optimizer. IEEE Trans. Evolutionary Computation, 10(3):245--255.
[18]
Poli, R., Langdon, W. B., Clerc, M., and Stephens, C. R. (2007) Continuous optimisation theory made easy? Finite-element models of evolutionary strategies, genetic algorithms and particle swarm optimizers. Proceedings of the Foundations of Genetic Algorithms (FOGA) workshop.
[19]
Kennedy, J. (2003) Bare bones particle swarms. Proceedings of the IEEE Swarm Intelligence Symposium, 80--87. Indianapolis, IN.
[20]
T. M. Blackwell. Particle swarms and population diversity. Soft Computing, 9:793--802, 2005.
[21]
AuYeung, S. W. M. (2003) Finding Probability Distributions from Moments, Master's Thesis, Imperial College, London.
[22]
Lakhany, A. and H. Mausser (2000), Estimating the Parameters of the Generalized Lambda Distribution, Algo Research Quarterly, 3(3): 47--58.
[23]
Ramberg, J. S., Dudewicz, E. J., Tadikamalla, P. R. and Mykytka, E. F. (1979), A probability distribution and its uses in fitting data, Technometrics, 21(2):201--214.
[24]
Poli, R. and Broomhead, D. (2007), Exact Analysis of the Sampling Distribution for the Canonical Particle Swarm Optimiser and its Convergence during Stagnation, Genetic and Evolutionary Computation Conference (GECCO), London (accepted).

Cited By

View all

Index Terms

  1. On the moments of the sampling distribution of particle swarm optimisers

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    GECCO '07: Proceedings of the 9th annual conference companion on Genetic and evolutionary computation
    July 2007
    1450 pages
    ISBN:9781595936981
    DOI:10.1145/1274000
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 07 July 2007

    Permissions

    Request permissions for this article.

    Check for updates

    Author Tags

    1. particle swarm optimisation
    2. theory

    Qualifiers

    • Article

    Conference

    GECCO07
    Sponsor:
    GECCO07: Genetic and Evolutionary Computation Conference
    July 7 - 11, 2007
    London, United Kingdom

    Acceptance Rates

    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)4
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 24 Dec 2024

    Other Metrics

    Citations

    Cited By

    View all

    View Options

    Login options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media