TY - JOUR JF - Journal of Applied Mathematics N2 - 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 ID - eprints1723 SP - 1 SN - 1110-757X AV - public EP - 17 UR - http://dx.doi.org/10.1155/2012/806945 A1 - Gnecco, Giorgio PB - Hindawi Publishing Corporation TI - A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization VL - 2012 Y1 - 2012/// ER -