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V-Splines and Bayes Estimate

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 نشر من قبل Zhanglong Cao
 تاريخ النشر 2018
  مجال البحث الاحصاء الرياضي
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Smoothing splines can be thought of as the posterior mean of a Gaussian process regression in a certain limit. By constructing a reproducing kernel Hilbert space with an appropriate inner product, the Bayesian form of the V-spline is derived when the penalty term is a fixed constant instead of a function. An extension to the usual generalized cross-validation formula is utilized to find the optimal V-spline parameters.

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