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