Result: Two acceleration mechanisms in verified global optimization
Title:
Two acceleration mechanisms in verified global optimization
Authors:
Source:
Scientific Computing, Computer arithmetic, and Validated Numerics (SCAN 2004)Journal of computational and applied mathematics. 199(2):390-396
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 11 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Analyse de l'erreur, Error analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Accélération, Acceleration, Aceleración, Algorithme, Algorithm, Algoritmo, Amélioration, Improvement, Mejora, Analyse numérique, Numerical analysis, Análisis numérico, Arithmétique intervalle, Interval arithmetic, Aritmética intervalo, Calcul automatique, Computing, Cálculo automático, Charge, Load, Carga, En parallèle, Parallel, En paralelo, Equilibrage charge, Load balancing, Equilibrio de carga, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Minimum, Mínimo, Méthode Newton, Newton method, Método Newton, Méthode optimisation, Optimization method, Método optimización, Parallélisation, Parallelization, Paralelisacíon, Programmation mathématique, Mathematical programming, Programación matemática, Rendement, Yield, Rendimiento, Optimisation globale, Global optimization, Interval Newton method, Parallel computing
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Bergische Universität Wuppertal, Applied Computer Science and Scientific Computing, 42097 Wuppertal, Germany
ISSN:
0377-0427
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18411503
Database:
PASCAL Archive
Further Information
Acceleration devices are very important to speed up interval global optimization algorithms. We propose here two techniques which can be applied in addition to other known techniques. Firstly, we propose a test based on the one-dimensional Newton iteration to discard or split the current box. This test is usually cheap and it is likely to be successful when a good approximation of the minimum is known early. The other technique proposed deals with parallelization. We propose to share the task of the manager process among other non-idle processes in such a way that not only one process is responsible for the load balancing. Experimental results presented show that both techniques yield significant improvements in many cases.