check_Bmatrix {archetypal}

Function which checks B matrix of Archetypal Analysis Y ~ A B Y in order to find the used rows for creating each archetype and the relevant used weights.

Description

Function which checks B matrix of Archetypal Analysis Y ~ A B Y in order to find the used rows for creating each archetype and the relevant used weights.

Usage

check_Bmatrix(B, chvertices = NULL, verbose = TRUE)

Arguments

B

The kappas \times n matrix such that Y ~ ABY or Frobenius norm ||Y-ABY|| is minimum

chvertices

The vector of rows which represent the Convex Hull of data frame

verbose

If set to TRUE, then results are printed out.

Value

A list with members:

1. used_rows, a list with used rows for creating each archetype

2. used_weights, a list with the relevant weights that have been used

3. leading_rows, the rows for each archetype with greatest weight

4. leading_weights, the weights of leading rows

5. used_on_convexhull, the portion of used rows which lie on Convex Hull (if given)

See Also

archetypal, check_Bmatrix, find_closer_points
& study_AAconvergence

Examples

{
	# Load data "wd2"
	data("wd2")
	df = wd2
	# Run AA:
	aa = archetypal(df = df, kappas = 3, verbose = FALSE)
	# Check B matrix:
	B = aa$B
	yy = check_Bmatrix(B, verbose = TRUE)
	yy$used_rows
	yy$used_weights
	yy$leading_rows
	yy$leading_weights
	# Check if used rows lie on ConvexHull
	ch = chull(df)
	yy = check_Bmatrix(B, chvertices = ch, verbose = FALSE)
	yy$used_on_convexhull
	#

}