@article{eprints1723,
       publisher = {Hindawi Publishing Corporation},
          author = {Giorgio Gnecco},
           title = {A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization},
            year = {2012},
         journal = {Journal of Applied Mathematics},
           pages = {1--17},
          volume = {2012},
             url = {http://eprints.imtlucca.it/1723/},
        abstract = {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 }
}