TY  - JOUR
VL  - 2008
EP  - 16
PB  - Springer
SP  - 1
JF  - Journal of Inequalities and Applications
UR  - http://www.journalofinequalitiesandapplications.com/content/2008/1/640758
Y1  - 2008///
ID  - eprints1707
N2  - For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated. Upper bounds on the approximation error are derived that depend on the Rademacher complexities of the families. The estimates exploit possible relationships among the components of the multivariable vector-valued functions. All such components are approximated simultaneously in such a way to use, for a desired approximation accuracy, less computational units than those required by componentwise approximation. An application to -stage optimization problems is discussed. 
AV  - public
SN  - 1025-5834
N1  - This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 
A1  - Gnecco, Giorgio
A1  - Sanguineti, Marcello
TI  - Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions
ER  -