SqrtMean: SRVF transform of warping functions

In fdasrvf: Elastic Functional Data Analysis

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)

Arguments

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

Value

Returns a list containing

mu	Karcher mean psi function
gam_mu	Karcher mean warping function
psi	srvf of warping functions
vec	shooting vectors

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)

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