Non-Univalent Approximation of Peano Curve for Global Optimization
Daniela Lera
First
;
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 | Size | Format | |
---|---|---|---|
AIP Lera Nasso Sergeyev published.pdf Solo gestori archivio
Description: File pdf
Type: versione editoriale
Size 1.82 MB
Format Adobe PDF
|
1.82 MB | Adobe PDF | & nbsp; View / Open Request a copy |
Non-Univalent Approximation of Peano Curve for Global Optimization.pdf open access
Type: versione post-print
Size 1.24 MB
Format Adobe PDF
|
1.24 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.