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#########################################################################/**
# @set "class=matrix"
# @RdocMethod normalizePrincipalCurve
#
# \encoding{latin1}
#
# @title "Normalizes data in K dimensions using principal curves"
#
# \description{
# @get "title" such that afterward the data cluster (approximately
# linearly) along the diagonal (in K dimensions).
# }
#
# @synopsis
#
# \arguments{
# \item{x}{An NxK @matrix where the columns represent the
# (K >= 2) dimensions.}
# \item{...}{Additional arguments passed to
# @see "aroma.light::fitPrincipalCurve" used for fitting the model.}
# \item{center}{If @TRUE, normalized data is centered such that the median
# signal in each dimension is at zero.}
# \item{returnFit}{If @TRUE, the fitted principal curve parameters are
# returned as an attribute.}
# }
#
# \value{
# Returns an NxK @matrix.
# }
#
# \references{
# [1] Hastie, T. and Stuetzle, W, \emph{Principal Curves}, JASA, 1989.
# }
#
# \seealso{
# @see "aroma.light::fitPrincipalCurve" and
# @see "aroma.light::backtransformPrincipalCurve".
# }
#
# @author "HB"
#
# @keyword internal
#*/#########################################################################
setMethodS3("normalizePrincipalCurve", "matrix", function(x, ..., center=TRUE, returnFit=FALSE) {
# Fit principal curve
fit <- .fitPrincipalCurve(x, ...)
# Flip direction of 'lambda'?
rho <- cor(fit$lambda, x[,1L], use="complete.obs")
flip <- (rho < 0)
# Sanity check
.stop_if_not(identical(dim(fit$s), dim(x)))
dx <- (fit$s - x)
# Sanity check
.stop_if_not(identical(dim(dx), dim(x)))
.stop_if_not(identical(nrow(dx), length(fit$lambda)))
xN <- fit$lambda + dx
.stop_if_not(identical(dim(xN), dim(x)))
if (flip) {
xN <- -xN
}
if (center) {
# Same center for each column
for (cc in seq_len(ncol(x))) {
mu <- median(x[,cc], na.rm=TRUE)
muN <- median(xN[,cc], na.rm=TRUE)
xN[,cc] <- xN[,cc] - (muN-mu)
}
}
# Return fit?
if (returnFit)
attr(xN, "fit") <- fit
xN
}) # normalizePrincipalCurve()
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