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Sparse Biplots are modern variant of HJ-Biplot which attempts to find sparse loadings, i.e., weight vectors with only a few nonzero values. Introducing a penalty parameter helps improve the interpretation of the model because the axis are formed as a linear combination of only some of the original variables.
This package provides functions to perform the HJ-Biplot (Galindo, 1986) and modifications introducing Ridge, LASSO and Elastic Net penalty:
HJBiplot
: performs the HJ-Biplot .Ridge_HJBiplot
: performs the HJ-Biplot introducing
Ridge penalty.LASSO_HJBiplot
: performs the HJ-Biplot introducing
LASSO penalty.ElasticNet_HJBiplot
: performs the HJ-Biplot introducing
Elastic Net penalty. For this use the spca package.Plot_Biplot
: create the plot of the results obtained
with any of the above functions. It generates elegant data visualization
using ggplot2 with
little codeInstall SparseBiplots from CRAN:
{r Install from CRAN} install.packages("SparseBiplots")
Install SparseBiplots from GitHub using
devtools:
{r Install from GitHub} install.packages("devtools") devtools::install_github("mitzicubillamontilla/SparseBiplots")
X
: data frame which provides the data to be analyzed.
All the variables must be numeric.Transform.Data
: character indicating whether the
columns have to be scaled or centered. Allowed values are:
"center"
and "scale"
(default).lambda
: tuning parameter for each penalty. In Elastic
Net it refers to LASSO penalty.àlpha
: tuning parameter of the Ridge shrinkage (just
allowed with Elastic Net penalty).operator
: operator used to solve the norm L1 (just
allowed with LASSO penalty). Allowed values are:
'Hard-Thresholding'
and
'Soft-Thresholding'
.ind_name
: logical value which indicates if prints the
name for each row of X (FALSE by default).vec_name
: logical value which indicates if prints the
name for each column of X (TRUE by default).loadings
: loadings matrix.coord_ind
: row coordinates matrix (individuals).coord_var
: column coordinates matrix (variables).eigenvalues
: approximated eigenvalues vector.explvar
: vector containing the proportion of variance
explained by the k axis obtained.n_ceros
: matrix which indicates the number of loadings
equal to cero in each axis (output exclusive just for LASSO and Elastic
net penalties)X
: list containing the output of one of the functions
of the package.axis
: vector with lenght 2 which contains the axis
ploted in x and y axis.hide
: vector specifying the elements to be hidden on
the plot. Default value is “none”. Other allowed values are “ind” and
“var”.labels
: it indicates the label for points. If it is
“auto” the labels are the row names of the coordinates of individuals.
If it isn’t auto it would be a vector containing the labels.ind.shape
: points shapes. It can be a number to
indicate the shape of all the points or a factor to indicate different
shapes.ind.color
: points colors. It can be a character
indicating the color of all the points or a factor to use different
colors.ind.size
: numeric value indicating the size of
points.ind.label
: logical name indicating if prints the row
names.ind.label.size
: numeric value indicating the size of
the label of points.var.col
: character indicating the color of the
arrows.var.size
: size of arrow.var.label
: logical name indicating if prints the column
names.var.label.size
: numeric value indicating the size of
the labels of variables.var.label.angle
: logical value indicating if print the
vector names with orentation of the angle of the vector.{r Fit HJ-Biplot} library("SparseBiplots") hj.biplot <- HJBiplot(mtcars)
It fit the HJ-Biplot on the R data mtcars
returning a list
that contains the results of the fiting (hj_mtcars
). To
create the plot use the function Plot_Biplot
over the list
obtained.
{r Visualize HJ-Biplot} Plot_Biplot(hj.biplot, ind.label = TRUE)
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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