Abstract
Neural networks calledtangent networks are constructed by explicit reference to the geometry of a set, and then blended intocascades which approximate characteristic functions of closed balls. In this way some known results about approximation by single hidden layer neural networks are re-proved in a very constructive and geometrical fashion.
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Noakes, J.L. Networks and closed balls. Adv Comput Math 5, 153–161 (1996). https://doi.org/10.1007/BF02124740
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DOI: https://doi.org/10.1007/BF02124740