NoiseTangent: Generate noise on the tangent space

In CrossD/RFPCA: Sparse and Dense Riemannian FPCA

Generate noise on the tangent space

Description

For each time point (column in mu), generate n isotropic noises distributed as epsFun on the tangent space at mu(t)

Usage

NoiseTangent(mfd, n, mu, sigma2 = 0, epsFun = rnorm)

## S3 method for class 'Sphere'
NoiseTangent(mfd, n, mu, sigma2 = 0, epsFun = stats::rnorm)

## S3 method for class 'Euclidean'
NoiseTangent(mfd, n, mu, sigma2 = 0, epsFun = stats::rnorm)

## S3 method for class 'SPD'
NoiseTangent(mfd, n, mu, sigma2 = 0, epsFun = stats::rnorm)

Arguments

mfd	A manifold object created by createM
n	Sample size
mu	A matrix or a vector containing the base point(s)
sigma2	Noise variance
epsFun	The distribution for generating the univariate errors with unit variance for the tangent space coordinates

Value

An array with size (n, dimIntrinsic, nPts)

Methods (by class)

• NoiseTangent(Sphere): Method

• NoiseTangent(Euclidean): Method

• NoiseTangent(SPD): Method

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