Harmonic Theory and Machine Learning

A natural inference mechanism is presented : the Black Box problem is transformed into a Dirichlet's problem on the closed cube. Then it is solved in closed polynomial form, together with a Mean-Value theorem and a Maximum Principle.A generalization to Polytopes and a reduction of any Dirichlet...

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Autores principales: Nanclares, Jorge, Rapallini, Ulises Mario Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/9564
http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Oct07-8.pdf
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Sumario:A natural inference mechanism is presented : the Black Box problem is transformed into a Dirichlet's problem on the closed cube. Then it is solved in closed polynomial form, together with a Mean-Value theorem and a Maximum Principle.A generalization to Polytopes and a reduction of any Dirichlet problem on compacta is mapp ed into a unit cub e in more dimensions.An algorithm for calculating the solution is suggested.