Harmonic Theory and Machine Learning

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...

Full description

Bibliographic Details
Main Authors: Jorge Nanclares, Ulises Mario Alberto Rapallini
Format: Article
Language:English
Published: Postgraduate Office, School of Computer Science, Universidad Nacional de La Plata 2007-10-01
Series:Journal of Computer Science and Technology
Subjects:
neural networks
machine learning
potential theory
polynomial approximation
Online Access:https://journal.info.unlp.edu.ar/JCST/article/view/778
Description
Summary: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.
ISSN:1666-6046
1666-6038

Similar Items