feature_PROCRUSTES: Feature Selection using PCA and Procrustes Analysis

In Rdimtools: Dimension Reduction and Estimation Methods

Feature Selection using PCA and Procrustes Analysis

Description

do.procrustes selects a set of features that best aligns PCA's coordinates in the embedded low dimension. It iteratively selects each variable that minimizes Procrustes distance between configurations.

Usage

do.procrustes(X, ndim = 2, intdim = (ndim - 1), cor = TRUE)

Arguments

X	an (n\times p) matrix whose rows are observations and columns represent independent variables.
ndim	an integer-valued target dimension.
intdim	intrinsic dimension of PCA to be applied. It should be smaller than ndim.
cor	mode of eigendecomposition. FALSE for decomposing covariance, and TRUE for correlation matrix in PCA.

Value

a named Rdimtools S3 object containing

Y

an (n\times ndim) matrix whose rows are embedded observations.

featidx

a length-ndim vector of indices with highest scores.

projection

a (p\times ndim) whose columns are basis for projection.

algorithm

name of the algorithm.

Author(s)

Kisung You

References

\insertRef

krzanowski_selection_1987aRdimtools

Examples

## use iris data
## it is known that feature 3 and 4 are more important.
data(iris)
iris.dat = as.matrix(iris[,1:4])
iris.lab = as.factor(iris[,5])

## try different strategy
out1 = do.procrustes(iris.dat, cor=TRUE)
out2 = do.procrustes(iris.dat, cor=FALSE)
out3 = do.mifs(iris.dat, iris.lab, beta=0)

## visualize
opar <- par(no.readonly=TRUE)
par(mfrow=c(1, 3))
plot(out1$Y, pch=19, col=iris.lab, main="PCA with Covariance")
plot(out2$Y, pch=19, col=iris.lab, main="PCA with Correlation")
plot(out3$Y, pch=19, col=iris.lab, main="MIFS")
par(opar)

Rdimtools documentation built on Dec. 28, 2022, 1:44 a.m.