vpd-summarizers: Summarize topological data

In tdarec: A 'recipes' Extension for Persistent Homology and Its Vectorizations

Summarize topological data

Description

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

Usage

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).

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

Value

A vector of one or two numeric values.

tdarec documentation built on June 8, 2025, 10:41 a.m.