Struct WassersteinDensitySpace 

pub struct WassersteinDensitySpace {
    pub argvals: Vec<f64>,
}

The 1D-Wasserstein (density-response) metric space.

Objects are probability densities sampled on the shared strictly-increasing grid argvals; the metric is the 1D 2-Wasserstein distance and the weighted Fréchet mean is the Wasserstein barycenter (quantile average).

Fields

argvals: Vec<f64>

Shared strictly-increasing evaluation grid for all density objects.

Implementations

impl WassersteinDensitySpace

pub fn new(argvals: Vec<f64>) -> Result<Self, FdarError>

Construct a density space over a strictly-increasing argvals grid.

Errors

Returns FdarError::InvalidDimension if argvals has fewer than 2 points, or FdarError::InvalidParameter if it is not strictly increasing.

Trait Implementations

impl Clone for WassersteinDensitySpace

fn clone(&self) -> WassersteinDensitySpace

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for WassersteinDensitySpace

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

Formats the value using the given formatter.

impl MetricSpace for WassersteinDensitySpace

type Object = Vec<f64>

The object type living in this metric space (e.g. a density on a grid).

fn distance(&self, a: &Self::Object, b: &Self::Object) -> Result<f64, FdarError>

Distance between two objects.

fn weighted_frechet_mean( &self, objects: &[Self::Object], weights: &[f64], ) -> Result<Self::Object, FdarError>

Weighted Fréchet mean (barycenter) of objects under non-negative weights.

impl PartialEq for WassersteinDensitySpace

fn eq(&self, other: &WassersteinDensitySpace) -> bool

Equality operator ==.

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

Inequality operator !=.

impl StructuralPartialEq for WassersteinDensitySpace