GeneratePmatrix {GeneralizedUmatrix}

Generates the P-matrix

Description

Generates a P-matrix too visualize only density based structures of high-dimensional data.

Arguments

Data

[1:n,1:d], A [n,d] matrix containing the data

EsomNeurons

[1:Lines,Columns,1:Weights] 3D array of weights given by ESOM or sESOM algorithm.

Radius

The radius for measuring the density within the hypersphere.

PlotIt

If set the Pmatrix will also be plotted

...

If set the Pmatrix will also be plotted

Details

To set the Radius the ABCanalysis of high-dimensional distances can be used [Ultsch/Lötsch, 2015]. For a deteailed definition and equation of automated density estimation (Radius) see Thrun et al. 2016.

Value

PMatrix [1:Lines,1:Columns]

Author(s)

Michael Thrun

References

Ultsch, A.: Maps for the visualization of high-dimensional data spaces, Proc. Workshop on Self organizing Maps (WSOM), pp. 225-230, Kyushu, Japan, 2003.

Ultsch, A., Loetsch, J.: Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data, PloS one, Vol. 10(6), pp. e0129767. doi 10.1371/journal.pone.0129767, 2015.

Thrun, M. C., Lerch, F., Loetsch, J., Ultsch, A.: Visualization and 3D Printing of Multivariate Data of Biomarkers, in Skala, V. (Ed.), International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision,Plzen, 2016.