relation: http://eprints.imtlucca.it/1723/ title: A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization creator: Gnecco, Giorgio subject: QA75 Electronic computers. Computer science description: 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 publisher: Hindawi Publishing Corporation date: 2012 type: Article type: PeerReviewed format: application/pdf language: en rights: cc_by identifier: http://eprints.imtlucca.it/1723/1/Journal%20of%20Applied%20Mathematics_Gnecco_2012.pdf identifier: Gnecco, Giorgio A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization. Journal of Applied Mathematics, 2012. pp. 1-17. ISSN 1110-757X (2012) relation: http://dx.doi.org/10.1155/2012/806945 relation: 10.1155/2012/806945