frechet_func

An object representing a measure, for which the Frechet value should be computed. Should be one of the following: 
A matrix, representing an image; A path to a file containing an image; 
A <a rd-options="transport" href="/link/wpp-object?package=WSGeometry&version=1.2.1&to=transport" data-mini-rdoc="transport::wpp-object">wpp-object</a>; 
A <a rd-options="transport" href="/link/pp-object?package=WSGeometry&version=1.2.1&to=transport" data-mini-rdoc="transport::pp-object">pp-object</a>;
A list containing an entry named `positions` with the support of the measure and an entry named `weights` containing the weights of the support points;
A list containing en entry named `positions`` specifying the support of a measure with uniform weights.

bary

A list of objects which should be compared to bary. Each element should be one of the following:
A matrix, representing an image; A path to a file containing an image; 
A <a rd-options="transport" href="/link/wpp-object?package=WSGeometry&version=1.2.1&to=transport" data-mini-rdoc="transport::wpp-object">wpp-object</a>; 
A <a rd-options="transport" href="/link/pp-object?package=WSGeometry&version=1.2.1&to=transport" data-mini-rdoc="transport::pp-object">pp-object</a>;
A list containing an entry named `positions` with the support of the measure and an entry named `weights` containing the weights of the support points;
A list containing en entry named `positions`` specifying the support of a measure with uniform weights.

data

This function computes the objective value of the barycenter problem for a given measure and a given dataset of measures.

Includes a variety of methods to compute objects related to the 'Wasserstein distance' (also known as 'Kantorovich distance' or 'Earth-Mover distance'). The main effort of this package is to allow for computations of 'Wasserstein barycenter' using regularised, unregularised and stochastic methods. It also provides convenient wrappers to call the 'transport' package with more general inputs. Handy visual tools are provided to showcase, barycenters, animations of optimal transport geodesics and animations of principal components in the 'Wasserstein space'. It also includes tools to compute 'Kantorovich-Rubinstein' distances and barycenters.

Florian Heinemann

WSGeometry

Geometric Tools Based on Balanced/Unbalanced Optimal Transport

frechet_func function

An object representing a measure, for which the Frechet value should be computed. Should be one of the following: 
A matrix, representing an image; A path to a file containing an image; 
A <a rd-options='transport' href='wpp-object'>wpp-object</a>; 
A <a rd-options='transport' href='pp-object'>pp-object</a>;
A list containing an entry named `positions` with the support of the measure and an entry named `weights` containing the weights of the support points;
A list containing en entry named `positions`` specifying the support of a measure with uniform weights.

A list of objects which should be compared to bary. Each element should be one of the following:
A matrix, representing an image; A path to a file containing an image; 
A <a rd-options='transport' href='wpp-object'>wpp-object</a>; 
A <a rd-options='transport' href='pp-object'>pp-object</a>;
A list containing an entry named `positions` with the support of the measure and an entry named `weights` containing the weights of the support points;
A list containing en entry named `positions`` specifying the support of a measure with uniform weights.

frechet_func: Compute the Frechet functional/The objective value of the barycenter problem

Description

Usage

Arguments

Value