Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding Kolmogorov distances through Wasserstein and related integral
  probability metrics   We establish general upper bounds on the Kolmogorov distance between two
probability distributions in terms of the distance between these distributions
as measured with respect to the Wasserstein or smooth Wasserstein metrics.
These bounds provide a significant generalisation of existing results from the
literature. To illustrate the broad applicability of our general bounds, we
apply them to extract Kolmogorov distance bounds from multivariate normal, beta
and variance-gamma approximations that have been established in the Stein's
method literature.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph