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A Comparison between Fixed-Basis and Variable-Basis Schemes forFunction Approximation and Functional Optimization
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Fixed-basis and variable-basis approximation schemes are compared for the problems of function approximation and functional optimization (also known as infinite programming).
Classes of problems are investigated for which variable-basis schemes with sigmoidal computational units perform better than fixed-basis ones, in terms of the minimum number of computational units needed to achieve a desired error in function approximation or approximate optimization.
Previously known bounds on the accuracy are extended, with better rates, to families of d-variable functions whose actual dependence is on a subset of d′≪d variables, where the indices of these d′ variables are not known a priori.
American Psychological Association (APA)
Gnecco, Giorgio. 2012. A Comparison between Fixed-Basis and Variable-Basis Schemes forFunction Approximation and Functional Optimization. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993713
Modern Language Association (MLA)
Gnecco, Giorgio. A Comparison between Fixed-Basis and Variable-Basis Schemes forFunction Approximation and Functional Optimization. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993713
American Medical Association (AMA)
Gnecco, Giorgio. A Comparison between Fixed-Basis and Variable-Basis Schemes forFunction Approximation and Functional Optimization. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993713
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993713