fsnorm {TDAkit}

L_p Norm of a Single Functional Summary

Description

Given a functional summary \Lambda (t), compute the p-norm.

Usage

fsnorm(fsobj, p = 2)

Arguments

fsobj

a functional summary object.

p

an exponent in [1,\infty) (default: 2).

Value

an L_p-norm value.

Examples

## Generate Toy Data from 'gen2circles()'
dat = gen2circles(n=100)$data

## Compute PD, Landscapes, and Silhouettes
myPD  = diagRips(dat, maxdim=1)
myPL0 = diag2landscape(myPD, dimension=0)
myPL1 = diag2landscape(myPD, dimension=1)
myPS0 = diag2silhouette(myPD, dimension=0)
myPS1 = diag2silhouette(myPD, dimension=1)

## Compute 2-norm
fsnorm(myPL0, p=2)
fsnorm(myPL1, p=2)
fsnorm(myPS0, p=2)
fsnorm(myPS1, p=2)