CalcUstarmatrix

calcUstarmatrix

Calculate the U*matrix for a given Umatrix and Pmatrix.

U*matrix

U*-matrix

Ustarmatrix

Ustar-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>.

Michael Thrun

GeneralizedUmatrix

Credible Visualization for Two-Dimensional Projections of Data

Felix Pape

Tim Schreier

Luis Winckelman

Quirin Stier

Alfred Ultsch

CalcUstarmatrix function

<dl><dt>Umatrix</dt>
<dd>[1:Lines,1:Column] Local averages of distances at each point of
the trainedGridWts[1:Lines,1:Column,1:variables] of ESOM or other SOM of same
format</dd><dt>Pmatrix</dt>
<dd>[1:Lines,1:Column] Local densities at each point of the
trainedGridWts[1:Lines,1:Column,1:variables] of ESOM or other SOM of same
format.</dd></dl>

Arguments

Author

Calculate the U*matrix for a given Umatrix and Pmatrix. — CalcUstarmatrix

<dl>

<dt>Umatrix</dt>
<dd>[1:Lines,1:Column] Local averages of distances at each point of
the trainedGridWts[1:Lines,1:Column,1:variables] of ESOM or other SOM of same
format</dd>

<dt>Pmatrix</dt>
<dd>[1:Lines,1:Column] Local densities at each point of the
trainedGridWts[1:Lines,1:Column,1:variables] of ESOM or other SOM of same
format.</dd>

</dl>

Calculate the U*matrix for a given Umatrix and Pmatrix.

CalcUstarmatrix: Calculate the U*matrix for a given Umatrix and Pmatrix.

Description

Value

Arguments

Author

References