• Media type: E-Article
  • Title: On connectionist models
  • Contributor: Hong, Jiawei
  • Published: Wiley, 1988
  • Published in: Communications on Pure and Applied Mathematics, 41 (1988) 8, Seite 1039-1050
  • Language: English
  • DOI: 10.1002/cpa.3160410804
  • ISSN: 0010-3640; 1097-0312
  • Keywords: Applied Mathematics ; General Mathematics
  • Origination:
  • Footnote:
  • Description: <jats:title>Abstract</jats:title><jats:p>We show that an arbitrary “connectionist” model of <jats:italic>n</jats:italic> neutrons, defined by an <jats:italic>n</jats:italic> X <jats:italic>n</jats:italic> real matrix, can be simulated by a system of <jats:italic>O(n</jats:italic><jats:sup>3</jats:sup>log <jats:italic>n</jats:italic>) Boolean gates with an <jats:italic>O</jats:italic>(log <jats:italic>n</jats:italic>) time slow‐down factor. This establishes that, even though <jats:italic>n</jats:italic><jats:sup>2</jats:sup> real numbers possibly of high precision are required to define it, connectionist models do not possess any basic properties different from those of other (nonuniform) highly parallel hardware models.</jats:p>