Adaptive estimation of multivariate functions using conditionally Gaussian tensor-product spline priors
نویسندگان
چکیده
منابع مشابه
Adaptive estimation of multivariate functions using conditionally Gaussian tensor-product spline priors
We investigate posterior contraction rates for priors on multivariate functions that are constructed using tensor-product B-spline expansions. We prove that using a hierarchical prior with an appropriate prior distribution on the partition size and Gaussian prior weights on the Bspline coefficients, procedures can be obtained that adapt to the degree of smoothness of the unknown function up to ...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2012
ISSN: 1935-7524
DOI: 10.1214/12-ejs735