MakeMfdProcess: Simulate a manifold-valued process

In CrossD/RFPCA: Sparse and Dense Riemannian FPCA

Simulate a manifold-valued process

Description

Simulate a manifold-valued process

Usage

MakeMfdProcess(
  mfd,
  n,
  mu,
  pts = seq(0, 1, length.out = ncol(mu)),
  K = 2,
  lambda = rep(1, K),
  sigma2 = 0,
  xiFun = stats::rnorm,
  epsFun = stats::rnorm,
  epsBase = c("mu", "X"),
  basisType = c("cos", "sin", "fourier", "legendre01")
)

Arguments

mfd	An object whose class specifies the manifold to use
n	The number of curves
mu	A matrix that specifies the mean function. Each column stands for a manifold-valued data point
pts	The time points
K	The number of components to simulate
lambda	The eigenvalues
sigma2	The variance for the isotropic measurement errors
xiFun	The distribution of the RFPC scores
epsFun	The distribution of the measurement errors
epsBase	The base point of the (tangent) measurement errors.
basisType	The type of basis on the tangent spaces

CrossD/RFPCA documentation built on Aug. 24, 2023, 4:42 p.m.