<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Supervised Learning from Regions and Box Kernels"^^ . "A supervised learning paradigm is investigated, in which the data are represented by labeled regions of\r\nthe input space. This learning model is motivated by real-world applications, such as problems of medical\r\ndiagnosis and image categorization. The associated optimization framework entails the minimization of a\r\nfunctional obtained by introducing a loss function that involves the labeled regions. A regularization term\r\nexpressed via differential operators, modeling smoothness properties of the desired input/output relationship,\r\nis included. It is shown that the optimization problem associated to supervised learning from regions has\r\na unique solution, represented as a linear combination of kernel functions determined by the differential\r\noperators together with the regions themselves. The case of regions given by multi-dimensional intervals (i.e.,\r\n“boxes”) is investigated as an interesting instance of learning from regions, which models prior knowledge\r\nexpressed by logical propositions. The proposed approach covers as a particular case the classical learning\r\ncontext, which corresponds to the situation where regions degenerate to single points. Applications and\r\nnumerical examples are discussed."^^ . "2014" . . . . . . . . . . . . . . . . "Giorgio"^^ . "Gnecco"^^ . "Giorgio Gnecco"^^ . . "Marco"^^ . "Gori"^^ . "Marco Gori"^^ . . "Marcello"^^ . "Sanguineti"^^ . "Marcello Sanguineti"^^ . . "Stefano"^^ . "Melacci"^^ . "Stefano Melacci"^^ . . . . "44th Conference of Italian Operational Research Society (AIRO 2014)"^^ . . . . . "Como, Italy"^^ . . . . . "HTML Summary of #3133 \n\nSupervised Learning from Regions and Box Kernels\n\n" . "text/html" . . . "QA75 Electronic computers. Computer science"@en . .