LowLand

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

LowLand function

<dl><dt>BestMatchingUnits</dt>
<dd>[1:n,1:n,1:n] BestMatchingUnits =[BMkey, BMLineCoords, BMColCoords]</dd><dt>GeneralizedUmatrix</dt>
<dd>[1:l,1:c] U-Matrix heights in Matrix form</dd><dt>Data</dt>
<dd>[1:n,1:d] data cases in lines, variables in Columns or [] or 0</dd><dt>Cls</dt>
<dd>[1:n] a possible classification of the data or [] or 0</dd><dt>Key</dt>
<dd>[1:n] the keys of the data or [] or 0</dd><dt>LowLimit</dt>
<dd>GeneralizedUmatrix heights up to this are considered to lie in
the low lands default: LowLimit = prctile(Uheights,80) nur die 80# tiefsten</dd></dl>

Arguments

ALU 2021 in matlab, MCT reimplemented in R

Author

LowLand — LowLand

<dl>

<dt>BestMatchingUnits</dt>
<dd>[1:n,1:n,1:n] BestMatchingUnits =[BMkey, BMLineCoords, BMColCoords]</dd>

<dt>GeneralizedUmatrix</dt>
<dd>[1:l,1:c] U-Matrix heights in Matrix form</dd>

<dt>Data</dt>
<dd>[1:n,1:d] data cases in lines, variables in Columns or [] or 0</dd>

<dt>Cls</dt>
<dd>[1:n] a possible classification of the data or [] or 0</dd>

<dt>Key</dt>
<dd>[1:n] the keys of the data or [] or 0</dd>

<dt>LowLimit</dt>
<dd>GeneralizedUmatrix heights up to this are considered to lie in
the low lands default: LowLimit = prctile(Uheights,80) nur die 80# tiefsten</dd>

</dl>

LowLand: LowLand

Description

Usage

Value

Arguments

Author