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Nonasymptotic Bounds on the L 2 Error of Neural Network Regression Estimates

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  • Michael Hamers
  • Michael Kohler

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  • Michael Hamers & Michael Kohler, 2006. "Nonasymptotic Bounds on the L 2 Error of Neural Network Regression Estimates," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(1), pages 131-151, March.
  • Handle: RePEc:spr:aistmt:v:58:y:2006:i:1:p:131-151
    DOI: 10.1007/s10463-005-0005-9
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    References listed on IDEAS

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    1. repec:cup:etheor:v:6:y:1990:i:4:p:466-79 is not listed on IDEAS
    2. Hamers, Michael & Kohler, Michael, 2003. "A bound on the expected maximal deviation of averages from their means," Statistics & Probability Letters, Elsevier, vol. 62(2), pages 137-144, April.
    3. Andrews, Donald W.K. & Whang, Yoon-Jae, 1990. "Additive Interactive Regression Models: Circumvention of the Curse of Dimensionality," Econometric Theory, Cambridge University Press, vol. 6(4), pages 466-479, December.
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    Cited by:

    1. Hongxia Wang & Xiao Jin & Jianian Wang & Hongxia Hao, 2023. "Nonparametric Estimation for High-Dimensional Space Models Based on a Deep Neural Network," Mathematics, MDPI, vol. 11(18), pages 1-37, September.

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