Treffer: Estimates of Variation with Respect to a Set and Applications to Optimization Problems
Title:
Estimates of Variation with Respect to a Set and Applications to Optimization Problems
Authors:
Source:
Journal of optimization theory and applications. 145(1):53-75
Publisher Information:
New York, NY: Springer, 2010.
Publication Year:
2010
Physical Description:
print, 48 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Programmation mathématique, Mathematical programming, Algorithme approximation, Approximation algorithm, Algoritmo aproximación, Apprentissage, Learning, Aprendizaje, Borne supérieure, Upper bound, Cota superior, Calcul variationnel, Variational calculus, Cálculo de variaciones, Dimensionnalité, Dimensionality, Dimensionalidad, Effet non linéaire, Non linear effect, Efecto no lineal, Enveloppe convexe, Convex hull, Cápsula convexa, Fonction base radiale, Radial basis function, Función radial base, Intelligence artificielle, Artificial intelligence, Inteligencia artificial, Inégalité variationnelle, Variational inequality, Desigualdad variacional, Méthode Ritz, Ritz method, Método Ritz, Processus Gauss, Gaussian process, Proceso Gauss, Programmation fonctionnelle, Functional programming, Programación funcional, Système paramètre variable, Time varying system, Sistema parámetro variable, Approximation schemes, Convex hulls, Curse of dimensionality, Functional optimization, Learning from data, Radial-basis functions, Ritz-type methods, Variational norms
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Communications, Computer, and System Sciences (DIST), University of Genoa, Via Opera Pia 13, 16145 Genova, Italy
Department of Mathematics (DIMA), University of Genoa, Via Dodecaneso 35, 16146 Genova, Italy
Department of Mathematics (DIMA), University of Genoa, Via Dodecaneso 35, 16146 Genova, Italy
ISSN:
0022-3239
Rights:
Copyright 2015 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:
Operational research. Management
Accession Number:
edscal.22685016
Database:
PASCAL Archive
Weitere Informationen
A variational norm that plays a role in functional optimization and learning from data is investigated. For sets of functions obtained by varying some parameters in fixed-structure computational units (e.g., Gaussians with variable centers and widths), upper bounds on the variational norms associated with such units are derived. The results are applied to functional optimization problems arising in nonlinear approximation by variable-basis functions and in learning from data. They are also applied to the construction of minimizing sequences by an extension of the Ritz method.