Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal approximation for sums of discrete $U$-statistics - application
  to Kolmogorov bounds in random subgraph counting   We derive normal approximation bounds in the Kolmogorov distance for sums of
discrete multiple integrals and $U$-statistics made of independent Bernoulli
random variables. Such bounds are applied to normal approximation for the
renormalized subgraphs counts in the Erd{\H o}s-R\'enyi random graph. This
approach completely solves a long-standing conjecture in the general setting of
arbitrary graph counting, while recovering and improving recent results derived
for triangles as well as results using the Wasserstein distance.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org