Harmonic Functions on the closed cube: an application to Learning Theory
Omar R. Faure, Jorge González Nanclares, Ulises Mario Alberto Rapallini · Revista de la Unión Matemática Argentina · 2007
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.