| pair_align_functions {fdasrvf} | R Documentation |
This function aligns two functions using SRSF framework. It will align f2 to f1
pair_align_functions( f1, f2, time, lambda = 0, method = "DP", w = 0.01, iter = 2000 )
f1 |
function 1 |
f2 |
function 2 |
time |
sample points of functions |
lambda |
controls amount of warping (default = 0) |
method |
controls which optimization method (default="DP") options are Dynamic Programming ("DP"), Coordinate Descent ("DP2"), Riemannian BFGS ("RBFGS"), Simultaneous Alignment ("SIMUL"), Dirichlet Bayesian ("dBayes"), and Expo-Map Bayesian ("expBayes") |
w |
controls LRBFGS (default = 0.01) |
iter |
number of mcmc iterations for mcmc method (default 2000) |
Returns a list containing
f2tilde |
aligned f2 |
gam |
warping function |
Srivastava, A., Wu, W., Kurtek, S., Klassen, E., Marron, J. S., May 2011. Registration of functional data using fisher-rao metric, arXiv:1103.3817v2 [math.ST].
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.
Cheng, W., Dryden, I. L., and Huang, X. (2016). Bayesian registration of functions and curves. Bayesian Analysis, 11(2), 447-475.
Lu, Y., Herbei, R., and Kurtek, S. (2017). Bayesian registration of functions with a Gaussian process prior. Journal of Computational and Graphical Statistics, DOI: 10.1080/10618600.2017.1336444.
data("simu_data")
out = pair_align_functions(simu_data$f[,1],simu_data$f[,2],simu_data$time)