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Make a Measurement that adds noise from the Gaussian(scale) distribution to the input.

Usage

make_gaussian(
  input_domain,
  input_metric,
  scale,
  k = NULL,
  .MO = "ZeroConcentratedDivergence<.QO>"
)

Arguments

input_domain

Domain of the data type to be privatized.

input_metric

Metric of the data type to be privatized.

scale

Noise scale parameter for the gaussian distribution. scale == standard_deviation.

k

The noise granularity in terms of 2^k.

.MO

Output Measure. The only valid measure is ZeroConcentratedDivergence<T>.

Value

Measurement

Details

Valid inputs for input_domain and input_metric are:

input_domaininput typeinput_metric
atom_domain(T)Tabsolute_distance(QI)
vector_domain(atom_domain(T))Vec<T>l2_distance(QI)

make_gaussian in Rust documentation.

Supporting Elements:

  • Input Domain: D

  • Output Type: D::Carrier

  • Input Metric: D::InputMetric

  • Output Measure: MO

Examples

library(opendp)
enable_features("contrib")
gaussian <- make_gaussian(
  atom_domain(.T = f64),
  absolute_distance(.T = f64),
  scale = 1.0)
#> Error in .Call("domains__atom_domain", bounds, nullable, .T, rt_parse(.T.bounds),     log, PACKAGE = "opendp"): "domains__atom_domain" not available for .Call() for package "opendp"
gaussian(arg = 100.0)
#> Error in gaussian(arg = 100): unused argument (arg = 100)

# Or, more readably, define the space and then chain:
space <- c(atom_domain(.T = f64), absolute_distance(.T = f64))
#> Error in .Call("domains__atom_domain", bounds, nullable, .T, rt_parse(.T.bounds),     log, PACKAGE = "opendp"): "domains__atom_domain" not available for .Call() for package "opendp"
gaussian <- space |> then_gaussian(scale = 1.0)
#> Error: object 'space' not found
gaussian(arg = 100.0)
#> Error in gaussian(arg = 100): unused argument (arg = 100)

# Sensitivity of this measurment:
gaussian(d_in = 1)
#> Error in gaussian(d_in = 1): unused argument (d_in = 1)
gaussian(d_in = 2)
#> Error in gaussian(d_in = 2): unused argument (d_in = 2)
gaussian(d_in = 4)
#> Error in gaussian(d_in = 4): unused argument (d_in = 4)

# Typically will be used with vectors rather than individual numbers:
space <- c(vector_domain(atom_domain(.T = i32)), l2_distance(.T = i32))
#> Error in .Call("domains__atom_domain", bounds, nullable, .T, rt_parse(.T.bounds),     log, PACKAGE = "opendp"): "domains__atom_domain" not available for .Call() for package "opendp"
gaussian <- space |> then_gaussian(scale = 1.0)
#> Error: object 'space' not found
gaussian(arg = c(10L, 20L, 30L))
#> Error in gaussian(arg = c(10L, 20L, 30L)): unused argument (arg = c(10, 20, 30))