GeneratePmatrix

[1:n,1:d], A <code>[n,d]</code> matrix containing the data

Data

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

EsomNeurons

The radius for measuring the density within the hypersphere.

Radius

If set the Pmatrix will also be plotted

PlotIt

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

pmatrix

P-matrix

Projections are common dimensionality reduction methods, which represent high-dimensional data in a two-dimensional space. However, when restricting the output space to two dimensions, which results in a two dimensional scatter plot (projection) of the data, low dimensional similarities do not represent high dimensional distances coercively [Thrun, 2018] <DOI: 10.1007/978-3-658-20540-9>. This could lead to a misleading interpretation of the underlying structures [Thrun, 2018]. By means of the 3D topographic map the generalized Umatrix is able to depict errors of these two-dimensional scatter plots. The package is derived from the book of Thrun, M.C.: "Projection Based Clustering through Self-Organization and Swarm Intelligence" (2018) <DOI:10.1007/978-3-658-20540-9> and the main algorithm called simplified self-organizing map for dimensionality reduction methods is published in <DOI: 10.1016/j.mex.2020.101093>.

GeneratePmatrix: Generates the P-matrix

Description

Arguments

Value

Details

References