Struct opendp::metrics::DiscreteDistance

pub struct DiscreteDistance;

Indicates if two elements are equal to each other.

This is used in the context of randomized response, to capture the distance between adjacent inputs (they are either equivalent or not).

Proof Definition

d-closeness

For any two datasets $u, v \in$ AtomDomain<T> and any $d$ of type IntDistance, we say that $u, v$ are $d$-close under the discrete metric (abbreviated as $d_{Eq}$) whenever

d_{Eq}(u, v) = \mathbb{1}[u = v] \leq d

Notes

Clearly, d is bounded above by 1. 1 is the expected argument on measurements that use this distance.

Compatible Domains

• AtomDomain<T> for any valid T.

Trait Implementations

impl Clone for DiscreteDistance

fn clone(&self) -> DiscreteDistance

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for DiscreteDistance

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl Default for DiscreteDistance

fn default() -> Self

Returns the “default value” for a type.

impl Metric for DiscreteDistance

type Distance = u32

Proof Definition

impl PartialEq for DiscreteDistance

fn eq(&self, _other: &Self) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.