quantileDataAccess

This function performs the data access step in the computation of a
differentially private quantile. The utility vector is computed as in
Smith2011a;textualDPpack, while the sensitivities are
calculated based on bounded and unbounded differential privacy
Kifer2011DPpack according to the theoretical values
Gillenwater2021DPpack.

internal

An implementation of common statistical analysis and models with
differential privacy (Dwork et al., 2006a) <doi:10.1007/11681878_14>
guarantees. The package contains, for example, functions providing
differentially private computations of mean, variance, median, histograms,
and contingency tables. It also implements some statistical models and
machine learning algorithms such as linear regression (Kifer et al., 2012)
<https://proceedings.mlr.press/v23/kifer12.html>
and SVM (Chaudhuri et al., 2011)
<https://jmlr.org/papers/v12/chaudhuri11a.html>. In addition, it implements
some popular randomization mechanisms, including
the Laplace mechanism (Dwork et al., 2006a)
<doi:10.1007/11681878_14>, Gaussian mechanism (Dwork et al., 2006b)
<doi:10.1007/11761679_29>, analytic Gaussian mechanism (Balle & Wang, 2018)
<https://proceedings.mlr.press/v80/balle18a.html>, and exponential mechanism
(McSherry & Talwar, 2007) <doi:10.1109/FOCS.2007.66>.

Spencer Giddens

DPpack

Differentially Private Statistical Analysis and Machine Learning

Fang Liu

quantileDataAccess function

<dl><dt>x</dt>
<dd>Numeric vector.</dd>
<dt>quant</dt>
<dd>Real number between 0 and 1 indicating which quantile to return.</dd>
<dt>lower.bound</dt>
<dd>Real number giving the lower bound of the input data.</dd>
<dt>upper.bound</dt>
<dd>Real number giving the upper bound of the input data.</dd></dl>

Arguments

Differentially Private Quantile Data Access Function — quantileDataAccess

<dl>

<dt>x</dt>
<dd>Numeric vector.</dd>


<dt>quant</dt>
<dd>Real number between 0 and 1 indicating which quantile to return.</dd>


<dt>lower.bound</dt>
<dd>Real number giving the lower bound of the input data.</dd>


<dt>upper.bound</dt>
<dd>Real number giving the upper bound of the input data.</dd>

</dl>

quantileDataAccess: Differentially Private Quantile Data Access Function

Description

Usage

Value

Arguments

References

Examples