fdasrvf (version 2.3.6)

SqrtMean: SRVF transform of warping functions

Description

This function calculates the srvf of warping functions with corresponding shooting vectors and finds the mean

Usage

SqrtMean(gam)

Value

Returns a list containing

mu

Karcher mean psi function

gam_mu

Karcher mean warping function

psi

srvf of warping functions

vec

shooting vectors

Arguments

gam

matrix (\(N\) x \(M\)) of \(M\) warping functions with \(N\) samples

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

out <- SqrtMean(simu_warp$warping_functions)