Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Posterior contraction in Gaussian process regression using Wasserstein
  approximations   We study posterior rates of contraction in Gaussian process regression with
unbounded covariate domain. Our argument relies on developing a Gaussian
approximation to the posterior of the leading coefficients of a
Karhunen--Lo\'{e}ve expansion of the Gaussian process. The salient feature of
our result is deriving such an approximation in the $L^2$ Wasserstein distance
and relating the speed of the approximation to the posterior contraction rate
using a coupling argument. Specific illustrations are provided for the Gaussian
or squared-exponential covariance kernel.

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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: math-ph