DPMechNumeric-class function

A virtual S4 class for differentially-private numeric mechanisms.

A virtual class that implements common features of Laplace, Gaussian mechanisms from differential privacy, for privatizing numeric vector releases. class

## S4 method for signature 'DPMechNumeric'
show(object)

## S4 method for signature 'DPMechNumeric'
sensitivityNorm(mechanism, X1, X2)

## S4 method for signature 'DPMechNumeric,DPParamsEps'
releaseResponse(mechanism, privacyParams,
  X)

Arguments

• object: an instance of class DPMech.
• mechanism: an object of class DPMechNumeric-class.
• X1: a privacy-sensitive dataset.
• X2: a privacy-sensitive dataset.
• privacyParams: an object of class DPParamsEps.
• X: a privacy-sensitive dataset, if using sensitivity sampler a: list, matrix, data frame, numeric/character vector.

Returns

scalar numeric norm of non-private target on datasets.

list with slots per argument, actual privacy parameter; mechanism response with length of target release: privacyParams, sensitivity, dims, target, response.

Methods (by generic)

• show: automatically prints the object.
• sensitivityNorm: measures sensitivity of non-private target.
• releaseResponse: releases mechanism responses.

Slots

• sensitivity: non-negative scalar numeric target sensitivity. Defaults to Inf for use with sensitivitySampler().
• target: the target non-private function to be privatized, takes lists. Defaults to a constant function. Laplace mechanism assumes functions that release numeric vectors of fixed dimension dims.
• gammaSensitivity: NA_real_ if deactive, or scalar in [0,1) indicating that responses must be RDP with specific confidence.
• dims: positive scalar numeric dimension of responses. Defaults to NA_integer_ for use with sensitivitySampler() which can probe target to determine dimension.

Examples

f <- function(xs) mean(xs)
n <- 100
m <- DPMechLaplace(sensitivity = 1/n, target = f, dims = 1)
X1 <- runif(n)
X2 <- runif(n)
sensitivityNorm(m, X1, X2)
f <- function(xs) mean(xs)
n <- 100
m <- DPMechLaplace(sensitivity = 1/n, target = f, dims = 1)
X <- runif(n)
p <- DPParamsEps(epsilon = 1)
releaseResponse(m, p, X)