Possible Extensions to the DIRECT Global Optimization Algorithm Based on Space-Filling and Diagonal Curves
Daniela LeraSecondo
;
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.File | Dimensione | Formato | |
---|---|---|---|
AIP Kvasov Lera Sergeyev published.pdf embargo fino al 01/09/2024
Tipologia: versione editoriale
Dimensione 947.64 kB
Formato Adobe PDF
|
947.64 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.