Abstract

FAURE, O.R.; NANCLARES, J.  and  RAPALLINI, U.. Harmonic Functions on the closed cube: an application to Learning Theory. Rev. Unión Mat. Argent. [online]. 2007, vol.48, n.1, pp.65-74. ISSN 0041-6932.

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.

Keywords : Dirichlet Problem; Diffusion Equation; Black Box; Convex Bodies.

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