Possible Extensions to the DIRECT Global Optimization Algorithm Based on Space-Filling and Diagonal Curves

Daniela Lera
Second
;
2023-01-01

Abstract

In this paper, the Lipschitz global optimization problem is considered both in the cases of non-differentiable and differentiable objective functions over hyperintervals. It is shown that space-filling curves can be successfully used to extend promising one-dimensional methods to the multidimensional case. In particular, several DIRECT-based algorithms using Peano-Hilbert space-filling curves and adaptive diagonal curves are surveyed.
2023
Inglese
International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021
Theodore Simos, Charalambos Tsitouras
2849
1
4
International Conference of Numerical Analysis and Applied Mathematics 2021
Esperti anonimi
20-26 settembre 2021
Rodi, Grecia
internazionale
scientifica
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
Kvasov, Dimitri E.; Lera, Daniela; Sergeyev, Yaroslav D.
273
3
4.1 Contributo in Atti di convegno
embargoed_20240901
info:eu-repo/semantics/conferencePaper
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