호남수학학술지 (Honam Mathematical Journal)

  • 제35권4호
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  • Pages.729-738
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  • 2013
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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THE CAPABILITY OF LOCALIZED NEURAL NETWORK APPROXIMATION

  • Hahm, Nahmwoo (Department of Mathematics, Incheon National University) ;
  • Hong, Bum Il (Department of Applied Mathematics, Kyung Hee University)
  • 투고 : 2013.10.10
  • 심사 : 2013.10.16
  • 발행 : 2013.12.25
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초록

In this paper, we investigate a localized approximation of a continuously differentiable function by neural networks. To do this, we first approximate a continuously differentiable function by B-spline functions and then approximate B-spline functions by neural networks. Our proofs are constructive and we give numerical results to support our theory.

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참고문헌

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