The estimate for approximation error of neural network with two weights.

The neural network with two weights is constructed and its approximation ability to any continuous functions is proved. For this neural network, the activation function is not confined to the odd functions. We prove that it can limitlessly approach any continuous function from limited close subset o...

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Publicado en:Scientific World Journal pp. 935312 - 935313
Autores principales: Zeng, Fanzi, Tang, Yuting
Formato: Journal Article
Publicado: Wiley-Blackwell 2013
Acceso en línea:Ver este registro en EBSCOhost
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        atl: The estimate for approximation error of neural network with two weights.
      aug:
        au:
          Zeng, Fanzi
          Tang, Yuting
        affil: Key Laboratory for Embedded and Network Computing of Hunan Province, Hunan University, Changsha 410082, China.
      sug:
        subj:
          Algorithms
          Neural Networks (Computer)
      ab: The neural network with two weights is constructed and its approximation ability to any continuous functions is proved. For this neural network, the activation function is not confined to the odd functions. We prove that it can limitlessly approach any continuous function from limited close subset of R(m) to R(n) and any continuous function, which has limit at infinite place, from limitless close subset of R(m) to R(n). This extends the nonlinear approximation ability of traditional BP neural network and RBF neural network.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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