Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confidence intervals for nonparametric regression   We demonstrate and discuss nonasymptotic bounds in probability for the cost
of a regression scheme with a general loss function from the perspective of the
Rademacher theory, and for the optimality with respect to the average
$L^{2}$-distance to the underlying conditional expectations of least squares
regression outcomes from the perspective of the Vapnik-Chervonenkis theory.
  The results follow from an analysis involving independent but possibly
nonstationary training samples and can be extended, in a manner that we explain
and illustrate, to relevant cases in which the training sample exhibits
dependence.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
14
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: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph