mean.persistence_diagram_sample: Persistence Diagram Sample Mean

In rgudhi: An Interface to the GUDHI Library for Topological Data Analysis

Persistence Diagram Sample Mean

Description

Currently computes the Fréchet mean associated with the 2-Wasserstein distance, a.k.a Wasserstein barycenter.

Usage

## S3 method for class 'persistence_diagram_sample'
mean(x, initial_center = NULL, verbose = FALSE, ...)

Arguments

x	An object of class persistence_diagram_sample.
initial_center	Either an integer value specifying the index of a persistence diagram in the input list to be used as initial center or an object of class persistence_diagram to be used as initial center. Defaults to NULL, which randomly chooses a center from the input list.
verbose	A boolean specifying whether information should be displayed into the console. Defaults to FALSE.
...	Further arguments passed to or from other methods.

Value

An object of class persistence_diagram.

Examples

dg1 <- as_persistence_diagram(tibble::tibble(birth = 0.2, death = 0.5))
dg2 <- as_persistence_diagram(tibble::tibble(birth = 0.2, death = 0.7))
dg3 <- as_persistence_diagram(tibble::tibble(
  birth = c(0.3, 0.7, 0.2),
  death = c(0.6, 0.8, 0.3)
))
pdset <- as_persistence_diagram_sample(list(dg1, dg2, dg3))
bary <- mean(pdset)

rgudhi documentation built on March 31, 2023, 11:38 p.m.