%0 Journal Article
%T Harmonic Functions on the closed cube: an application to Learning Theory
%A Faure
%A O.R.
%A Nanclares
%A J.
%A Rapallini
%A U.
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2007
%I Uni¨®n Matem¨¢tica Argentina
%X a natural inference mechanism is presented: the black box problem is transformed into a dirichlet problem on the closed cube. then it is solved in closed polynomial form, together with a mean-value theorem and a maximum principle. an algorithm for calculating the solution is suggested. a special feedforward neural net is deducted for each polynomial.
%K dirichlet problem
%K diffusion equation
%K black box
%K convex bodies.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322007000100008&lng=en&nrm=iso&tlng=en