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Networks and closed balls

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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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Authors and Affiliations

  1. Department of Mathematics, The University of Western Australia, 6907, Nedlands, WA, Australia

    J. Lyle Noakes

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  1. J. Lyle Noakes
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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

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