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On similarities between two models of global optimization: statistical models and radial basis functions

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  • Antanas Žilinskas

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  • Antanas Žilinskas, 2010. "On similarities between two models of global optimization: statistical models and radial basis functions," Journal of Global Optimization, Springer, vol. 48(1), pages 173-182, September.
    • Handle: RePEc:spr:jglopt:v:48:y:2010:i:1:p:173-182
    DOI: 10.1007/s10898-009-9517-9
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    References listed on IDEAS

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    1. James M. Calvin, 2007. "Nonadaptive Univariate Optimization for Observations with Noise," Springer Optimization and Its Applications, in: Aimo Törn & Julius Žilinskas (ed.), Models and Algorithms for Global Optimization, pages 185-192, Springer.
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    Citations

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    Cited by:

    1. M. Rivier & P. M. Congedo, 2019. "Surrogate-assisted Bounding-Box approach for optimization problems with tunable objectives fidelity," Journal of Global Optimization, Springer, vol. 75(4), pages 1079-1109, December.
    2. Ma, Jichao & Wei, Gaofeng & Liu, Dandan & Liu, Gongtian, 2017. "The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 170-182.
    3. R. Cavoretto & A. Rossi & M. S. Mukhametzhanov & Ya. D. Sergeyev, 2021. "On the search of the shape parameter in radial basis functions using univariate global optimization methods," Journal of Global Optimization, Springer, vol. 79(2), pages 305-327, February.
    4. Grishagin, Vladimir & Israfilov, Ruslan & Sergeyev, Yaroslav, 2018. "Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 270-280.
    5. Albertas Gimbutas & Antanas Žilinskas, 2018. "An algorithm of simplicial Lipschitz optimization with the bi-criteria selection of simplices for the bi-section," Journal of Global Optimization, Springer, vol. 71(1), pages 115-127, May.
    6. Daniela Lera & Yaroslav D. Sergeyev, 2018. "GOSH: derivative-free global optimization using multi-dimensional space-filling curves," Journal of Global Optimization, Springer, vol. 71(1), pages 193-211, May.
    7. Sergeyev, Yaroslav D. & Kvasov, Dmitri E. & Mukhametzhanov, Marat S., 2017. "Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 96-109.
    8. H. Alwardi & S. Wang & L. Jennings & S. Richardson, 2012. "An adaptive least-squares collocation radial basis function method for the HJB equation," Journal of Global Optimization, Springer, vol. 52(2), pages 305-322, February.
    9. H. Alwardi & S. Wang & L. Jennings, 2013. "An adaptive domain decomposition method for the Hamilton–Jacobi–Bellman equation," Journal of Global Optimization, Springer, vol. 56(4), pages 1361-1373, August.
    10. Yaroslav D. Sergeyev & Marat S. Mukhametzhanov & Dmitri E. Kvasov & Daniela Lera, 2016. "Derivative-Free Local Tuning and Local Improvement Techniques Embedded in the Univariate Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 186-208, October.
    11. Ray-Bing Chen & Yuan Wang & C. F. Jeff Wu, 2020. "Finding optimal points for expensive functions using adaptive RBF-based surrogate model via uncertainty quantification," Journal of Global Optimization, Springer, vol. 77(4), pages 919-948, August.
    12. Kvasov, Dmitri E. & Mukhametzhanov, Marat S., 2018. "Metaheuristic vs. deterministic global optimization algorithms: The univariate case," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 245-259.

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