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A Comparison of Genetic Algorithms and Particle Swarm Optimization to Estimate Cluster-Based Kriging Parameters

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11804))

Abstract

Kriging is one of the most used spatial estimation methods in real-world applications. Some kriging parameters must be estimated in order to reach a good accuracy in the interpolation process, however, this task remains a challenge. Various optimization methods have been tested to find good parameters of the kriging process. In recent years, many authors are using bio-inspired techniques and achieving good results in estimating these parameters in comparison with traditional techniques. This paper presents a comparison between well known bio-inspired techniques such as Genetic Algorithms and Particle Swarm Optimization in the estimation of the essential kriging parameters: nugget, sill, range, angle, and factor. In order to perform the tests, we proposed a methodology based on the cluster-based kriging method. Considering the Friedman test, the results showed no statistical difference between the evaluated algorithms in optimizing kriging parameters. On the other hand, the Particle Swarm Optimization approach presented a faster convergence, which is important in this high-cost computational problem.

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References

  1. Abedini, M., Nasseri, M., Ansari, A.: Cluster-based ordinary kriging of piezometric head in west texas/new mexico-testing of hypothesis. J. Hydrol. 351(3–4), 360–367 (2008)

    Article  Google Scholar 

  2. Abedini, M., Nasseri, M., Burn, D.: The use of a genetic algorithm-based search strategy in geostatistics: application to a set of anisotropic piezometric head data. Comput. Geosci. 41, 136–146 (2012)

    Article  Google Scholar 

  3. Cressie, N.: Fitting variogram models by weighted least squares. J. Int. Assoc. Math. Geol. 17(5), 563–586 (1985)

    Article  MathSciNet  Google Scholar 

  4. Deep, K., Thakur, M.: A new crossover operator for real coded genetic algorithms. Appl. Math. Comput. 188(1), 895–911 (2007)

    MathSciNet  MATH  Google Scholar 

  5. Deep, K., Thakur, M.: A new mutation operator for real coded genetic algorithms. Appl. Math. Comput. 193(1), 211–230 (2007)

    MathSciNet  MATH  Google Scholar 

  6. Fouedjio, F.: A spectral clustering approach for multivariate geostatistical data. Int. J. Data Sci. Anal. 4(4), 301–312 (2017)

    Article  Google Scholar 

  7. Gibbons, J.D., Fielden, J.D.G.: Nonparametric Statistics: An Introduction, vol. 90. Sage, Newbury Park (1993)

    Book  Google Scholar 

  8. Gonçalves, Í.G., Kumaira, S., Guadagnin, F.: A machine learning approach to the potential-field method for implicit modeling of geological structures. Comput. Geosci. 103, 173–182 (2017)

    Article  Google Scholar 

  9. Hengl, T.: A Practical Guide to Geostatistical Mapping, vol. 52. Hengl, Amsterdam (2009)

    Google Scholar 

  10. Li, Z., Zhang, X., Clarke, K.C., Liu, G., Zhu, R.: An automatic variogram modeling method with high reliability fitness and estimates. Comput. Geosci. 120, 48–59 (2018)

    Article  Google Scholar 

  11. Scrucca, L., et al.: GA: a package for genetic algorithms in R. J. Stat. Softw. 53(4), 1–37 (2013)

    Article  Google Scholar 

  12. Wang, Z., Chang, Z., Luo, Q., Hua, S., Zhao, H., Kang, Y.: Optimization of riveting parameters using kriging and particle swarm optimization to improve deformation homogeneity in aircraft assembly. Adv. Mech. Eng. 9(8) (2017). https://doi.org/10.1177/1687814017719003

    Article  Google Scholar 

  13. Wei, Z., Liu, Z., Chen, Q.: GA-based kriging for isoline drawing. In: 2010 International Conference on Environmental Science and Information Application Technology (ESIAT), vol. 2, pp. 170–173. IEEE (2010)

    Google Scholar 

  14. Witten, I.H., Frank, E., Hall, M.A., Pal, C.J.: Data Mining: Practical Machine Learning Tools and Techniques. Morgan Kaufmann, Cambridge (2016)

    Google Scholar 

  15. Xialin, Z., Zhengping, W., Zhanglin, L., Chonglong, W.: An intelligent improvement on the reliability of ordinary kriging estimates by a GA. In: 2010 Second WRI Global Congress on Intelligent Systems (GCIS), vol. 2, pp. 61–64. IEEE (2010)

    Google Scholar 

  16. Yasojima, E.K.K., de Oliveira, R.C.L., Teixeira, O.N., Pereira, R.L.: CAM-ADX: a new genetic algorithm with increased intensification and diversification for design optimization problems with real variables. Robotica 37, 1–46 (2019)

    Article  Google Scholar 

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Correspondence to Carlos Yasojima .

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Yasojima, C., Araújo, T., Meiguins, B., Neto, N., Morais, J. (2019). A Comparison of Genetic Algorithms and Particle Swarm Optimization to Estimate Cluster-Based Kriging Parameters. In: Moura Oliveira, P., Novais, P., Reis, L. (eds) Progress in Artificial Intelligence. EPIA 2019. Lecture Notes in Computer Science(), vol 11804. Springer, Cham. https://doi.org/10.1007/978-3-030-30241-2_62

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  • DOI: https://doi.org/10.1007/978-3-030-30241-2_62

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-30240-5

  • Online ISBN: 978-3-030-30241-2

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