<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Approximation Error Bounds via Rademacher's Complexity "^^ . "Approximation properties of some connectionistic models, commonly used to construct approximation schemes for optimization problems with multivariable functions as admissible solutions, are investigated. Such models are made up of linear combinations of computational units\r\nwith adjustable parameters. The relationship between model complexity (number of computational units) and approximation error is investigated using tools from Statistical Learning Theory, such as Talagrand's\r\ninequality, fat-shattering dimension, and Rademacher's complexity. For some families of multivariable functions, estimates of the approximation accuracy of models with certain computational units are derived in dependence of the Rademacher's complexities of the families. The\r\nestimates improve previously-available ones, which were expressed in terms of V C dimension and derived by exploiting union-bound techniques. The results are applied to approximation schemes with certain radial-basis-functions as computational units, for which it is shown that\r\nthe estimates do not exhibit the curse of dimensionality with respect to the number of variables."^^ . "2008" . . "2" . "4" . . "Hikari Ltd"^^ . . . "Applied Mathematical Sciences"^^ . . . "1312885X" . . . . . . . . . . "Giorgio"^^ . "Gnecco"^^ . "Giorgio Gnecco"^^ . . "Marcello"^^ . "Sanguineti"^^ . "Marcello Sanguineti"^^ . . . . . . "Approximation Error Bounds via Rademacher's Complexity (PDF)"^^ . . . . . "Applied Mathematical Sciences_Gnecco_Sanguinetti_2008.pdf"^^ . . . "Approximation Error Bounds via Rademacher's Complexity (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Approximation Error Bounds via Rademacher's Complexity (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Approximation Error Bounds via Rademacher's Complexity (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Approximation Error Bounds via Rademacher's Complexity (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #1749 \n\nApproximation Error Bounds via Rademacher's Complexity \n\n" . "text/html" . . . "QA75 Electronic computers. Computer science"@en . .