enclosing_radius: Compute the enclosing radius for a dataset.

In shaelebrown/TDAML: Machine Learning and Inference for Topological Data Analysis

Compute the enclosing radius for a dataset.

Description

The enclosing radius is the minimum (Euclidean distance) radius beyond which no topological changes will occur.

Usage

enclosing_radius(X, distance_mat = FALSE)

Arguments

X	the input dataset, must either be a matrix or data frame.
distance_mat	whether or not 'X' is a distance matrix, default FALSE.

Value

the numeric enclosing radius.

Author(s)

Shael Brown - [e-mail]

Examples

# create a persistence diagram from a 2D Gaussian
df = data.frame(x = rnorm(n = 20,mean = 0,sd = 1),y = rnorm(n = 20,mean = 0,sd = 1))
  
# compute the enclosing radius from the point cloud
enc_rad <- enclosing_radius(df, distance_mat = FALSE)
  
# compute the distance matrix manually, stored as a matrix
dist_df <- as.matrix(dist(df))
  
# compute the enclosing radius from the distance matrix
enc_rad <- enclosing_radius(dist_df, distance_mat = TRUE)

shaelebrown/TDAML documentation built on Nov. 1, 2024, 8:59 a.m.