elastic.distance: Calculates two elastic distance

In fdasrvf: Elastic Functional Data Analysis

Calculates two elastic distance

Description

This functions calculates the distances between functions, D_y and D_x, where function 1 is aligned to function 2

Usage

elastic.distance(f1, f2, time, lambda = 0, pen = "roughness")

Arguments

f1	sample function 1
f2	sample function 2
time	sample points of functions
lambda	controls amount of warping (default = 0)
pen	alignment penalty (default="roughness") options are second derivative ("roughness"), geodesic distance from id ("geodesic"), and norm from id ("norm")

Value

Returns a list containing

Dy	amplitude distance
Dx	phase distance

References

Srivastava, A., Wu, W., Kurtek, S., Klassen, E., Marron, J. S., May 2011. Registration of functional data using fisher-rao metric, arXiv:1103.3817v2.

Tucker, J. D., Wu, W., Srivastava, A., Generative Models for Function Data using Phase and Amplitude Separation, Computational Statistics and Data Analysis (2012), 10.1016/j.csda.2012.12.001.

Examples

distances <- elastic.distance(
  f1 = simu_data$f[, 1],
  f2 = simu_data$f[, 2],
  time = simu_data$time
)

fdasrvf documentation built on Nov. 19, 2023, 1:09 a.m.