Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes
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DOI: 10.1016/j.amc.2017.06.036
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- Konstantin Barkalov & Victor Gergel, 2016. "Parallel global optimization on GPU," Journal of Global Optimization, Springer, vol. 66(1), pages 3-20, September.
- Edwin Dam & Bart Husslage & Dick Hertog, 2010.
"One-dimensional nested maximin designs,"
Journal of Global Optimization, Springer, vol. 46(2), pages 287-306, February.
- van Dam, E.R. & Husslage, B.G.M. & den Hertog, D., 2004. "One-Dimensional Nested Maximin Designs," Discussion Paper 2004-66, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Husslage, B.G.M. & den Hertog, D., 2010. "One-dimensional nested maximin designs," Other publications TiSEM cf47da9c-59f8-4533-a845-8, Tilburg University, School of Economics and Management.
- 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.
- Remigijus Paulavičius & Yaroslav Sergeyev & Dmitri Kvasov & Julius Žilinskas, 2014. "Globally-biased Disimpl algorithm for expensive global optimization," Journal of Global Optimization, Springer, vol. 59(2), pages 545-567, July.
- 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.
- Leyuan Shi & Sigurdur Ólafsson, 2000. "Nested Partitions Method for Global Optimization," Operations Research, INFORMS, vol. 48(3), pages 390-407, June.
- Antanas Žilinskas & Julius Žilinskas, 2010. "P-algorithm based on a simplicial statistical model of multimodal functions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(2), pages 396-412, December.
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- Konstantin Barkalov & Irek Gubaydullin & Evgeny Kozinov & Ilya Lebedev & Roza Faskhutdinova & Azamat Faskhutdinov & Leniza Enikeeva, 2022. "On Solving the Problem of Finding Kinetic Parameters of Catalytic Isomerization of the Pentane-Hexane Fraction Using a Parallel Global Search Algorithm," Mathematics, MDPI, vol. 10(19), pages 1-13, October.
- 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.
- Lera, Daniela & Posypkin, Mikhail & Sergeyev, Yaroslav D., 2021. "Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics," Applied Mathematics and Computation, Elsevier, vol. 390(C).
- 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.
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Keywords
Multiextremal functions; Global optimization; Numerical methods; Dimensionality reduction; Convergence; Comparison of efficiency;All these keywords.
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