In this article, multi-dimensional global optimization problems are considered, where the objective function is supposed to be Lipschitz continuous, multiextremal and without a known analytic expression (black-box). Non-Univalent approximation of Peano curve to reduce the problem to a univariate one satisfying the Hölder condition is employed. Geometric frameworks for construction of global optimization algorithms are discussed. Numerical experiments executed on 100 test functions taken from the literature show a promising performance of the algorithms.

Non-Univalent Approximation of Peano Curve for Global Optimization

Daniela Lera
Primo
;
2023-01-01

Abstract

In this article, multi-dimensional global optimization problems are considered, where the objective function is supposed to be Lipschitz continuous, multiextremal and without a known analytic expression (black-box). Non-Univalent approximation of Peano curve to reduce the problem to a univariate one satisfying the Hölder condition is employed. Geometric frameworks for construction of global optimization algorithms are discussed. Numerical experiments executed on 100 test functions taken from the literature show a promising performance of the algorithms.
File in questo prodotto:
File Dimensione Formato  
AIP Lera Nasso Sergeyev published.pdf

Solo gestori archivio

Descrizione: File pdf
Tipologia: versione editoriale
Dimensione 1.82 MB
Formato Adobe PDF
1.82 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Non-Univalent Approximation of Peano Curve for Global Optimization.pdf

accesso aperto

Tipologia: versione post-print
Dimensione 1.24 MB
Formato Adobe PDF
1.24 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/324774
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact