estimate_pcathr: PCA Thresholding with Accumulated Variance

In kisungyou/Rdimtools: Dimension Reduction and Estimation Methods

PCA Thresholding with Accumulated Variance

Description

Principal Component Analysis exploits sample covariance matrix whose eigenvectors and eigenvalues are principal components and projected variance, correspondingly. Given varratio, it thresholds the accumulated variance and selects the estimated dimension. Note that other than linear submanifold case, the naive selection scheme from this algorithm lacks flexibility in discovering intrinsic dimension.

Usage

est.pcathr(X, varratio = 0.95)

Arguments

X	an (n\times p) matrix or data frame whose rows are observations.
varratio	target explainability for accumulated variance in (0,1).

Value

a named list containing containing

estdim

estimated dimension according to varratio.

values

eigenvalues of sample covariance matrix.

Author(s)

Kisung You

See Also

do.pca

Examples

## generate 3-dimensional normal data
X = matrix(rnorm(100*3), nrow=100)

## replicate 3 times with translations
Y = cbind(X-10,X,X+10)

## use PCA thresholding estimation with 95% variance explainability
## desired return is for dimension 3.
output   = est.pcathr(Y)
pmessage = paste("* estimated dimension is ",output$estdim, sep="")
print(pmessage)

## use screeplot
opar <- par(no.readonly=TRUE)
plot(output$values, main="scree plot", type="b")
par(opar)

kisungyou/Rdimtools documentation built on Jan. 2, 2023, 9:55 a.m.