Summarize topological data

Source: R/vpd-summarizers.R

These miscellaneous functions are used by various get_*_range() functions to finalize hyperparameter ranges.

ph_dim(x)

# Default S3 method
ph_dim(x)

# S3 method for class 'matrix'
ph_dim(x)

# S3 method for class 'array'
ph_dim(x)

# S3 method for class 'data.frame'
ph_dim(x)

# S3 method for class 'dist'
ph_dim(x)

# S3 method for class 'ts'
ph_dim(x)

pairs_min(x, hom_degrees)

# Default S3 method
pairs_min(x, hom_degrees)

# S3 method for class 'matrix'
pairs_min(x, hom_degrees)

# S3 method for class 'data.frame'
pairs_min(x, hom_degrees)

# S3 method for class 'diagram'
pairs_min(x, hom_degrees)

# S3 method for class 'PHom'
pairs_min(x, hom_degrees)

# S3 method for class 'persistence'
pairs_min(x, hom_degrees)

pairs_max(x, hom_degrees)

# Default S3 method
pairs_max(x, hom_degrees)

# S3 method for class 'matrix'
pairs_max(x, hom_degrees)

# S3 method for class 'data.frame'
pairs_max(x, hom_degrees)

# S3 method for class 'diagram'
pairs_max(x, hom_degrees)

# S3 method for class 'PHom'
pairs_max(x, hom_degrees)

# S3 method for class 'persistence'
pairs_max(x, hom_degrees)

birth_range(x, hom_degree)

# Default S3 method
birth_range(x, hom_degree)

# S3 method for class 'matrix'
birth_range(x, hom_degree)

# S3 method for class 'data.frame'
birth_range(x, hom_degree)

# S3 method for class 'diagram'
birth_range(x, hom_degree)

# S3 method for class 'PHom'
birth_range(x, hom_degree)

# S3 method for class 'persistence'
birth_range(x, hom_degree)

pers_max(x, hom_degree)

# Default S3 method
pers_max(x, hom_degree)

# S3 method for class 'matrix'
pers_max(x, hom_degree)

# S3 method for class 'data.frame'
pers_max(x, hom_degree)

# S3 method for class 'diagram'
pers_max(x, hom_degree)

# S3 method for class 'PHom'
pers_max(x, hom_degree)

# S3 method for class 'persistence'
pers_max(x, hom_degree)

pers_min(x, hom_degree)

# Default S3 method
pers_min(x, hom_degree)

# S3 method for class 'matrix'
pers_min(x, hom_degree)

# S3 method for class 'data.frame'
pers_min(x, hom_degree)

# S3 method for class 'diagram'
pers_min(x, hom_degree)

# S3 method for class 'PHom'
pers_min(x, hom_degree)

# S3 method for class 'persistence'
pers_min(x, hom_degree)

pers_range(x, hom_degree)

# Default S3 method
pers_range(x, hom_degree)

# S3 method for class 'matrix'
pers_range(x, hom_degree)

# S3 method for class 'data.frame'
pers_range(x, hom_degree)

# S3 method for class 'diagram'
pers_range(x, hom_degree)

# S3 method for class 'PHom'
pers_range(x, hom_degree)

# S3 method for class 'persistence'
pers_range(x, hom_degree)

life_support(x, hom_degree)

# Default S3 method
life_support(x, hom_degree)

# S3 method for class 'matrix'
life_support(x, hom_degree)

# S3 method for class 'data.frame'
life_support(x, hom_degree)

# S3 method for class 'diagram'
life_support(x, hom_degree)

# S3 method for class 'PHom'
life_support(x, hom_degree)

# S3 method for class 'persistence'
life_support(x, hom_degree)

Arguments

x

Persistence data in a recognizable format.

hom_degree, hom_degrees

Integer (vector) of homological degree(s).

Value

A vector of one or two numeric values.

Details

The functions compute the following summaries:

  • ph_dim(): Dimension of a data set for purposes of PH

  • pairs_min(): Minimum number of persistent pairs of any degree

  • pairs_max(): Maximum number of persistent pairs of any degree

  • birth_range(): Range of finite birth values for a given degree

  • pers_max(): Maximum positive finite persistence for a given degree

  • pers_min(): Minimum positive finite persistence for a given degree

  • pers_range(): Range of positive finite persistence for a given degree

  • life_support(): Range of union of birth–death ranges for a given degree