Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Private Estimators   We present $\textit{universal}$ estimators for the statistical mean,
variance, and scale (in particular, the interquartile range) under pure
differential privacy. These estimators are universal in the sense that they
work on an arbitrary, unknown distribution $\mathcal{P}$ over $\mathbb{R}$,
while yielding strong utility guarantees except for ill-behaved $\mathcal{P}$.
For certain distribution families like Gaussians or heavy-tailed distributions,
we show that our universal estimators match or improve existing estimators,
which are often specifically designed for the given family and under
$\textit{priori}$ boundedness assumptions on the mean and variance of
$\mathcal{P}$. The removal of these boundedness assumptions is surprising, as
existing work believes that they are necessary under pure differential privacy.

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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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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: econ