# NormalizeUmatrix: Normalize Umatrix In GeneralizedUmatrix: Credible Visualization for Two-Dimensional Projections of Data

 NormalizeUmatrix R Documentation

## Normalize Umatrix

### Description

Normalizing the U-matrix using the abstact U-Matrix concept [Loetsch/Ultsch, 2014].

### Usage

``````NormalizeUmatrix(Data, Umatrix, BestMatches)
``````

### Arguments

 `Data` [1:n,1:d] numerical matrix of data with n cases and d variables `Umatrix` [1:lines,1:Columns] matrix of U-heights `BestMatches` [1:n,1:2] Bestmatching units.

### Details

see publication [Loetsch/Ultsch, 2014]..

### Value

Normalized Umatrix[1:lines,1:Columns] using the abstact U-Matrix concept.

### Author(s)

Felix Pape, Michael Thrun

### References

Loetsch, J., Ultsch, A.: Exploiting the structures of the U-matrix, in Villmann, T., Schleif, F.-M., Kaden, M. & Lange, M. (eds.), Proc. Advances in Self-Organizing Maps and Learning Vector Quantization, pp. 249-257, Springer International Publishing, Mittweida, Germany, 2014.

### Examples

``````data("Chainlink")
InputDistances=as.matrix(dist(Data))
res=cmdscale(d=InputDistances, k = 2, eig = TRUE, add = FALSE, x.ret = FALSE)
ProjectedPoints=as.matrix(res\$points)

resUmatrix=GeneralizedUmatrix(Data,ProjectedPoints)
## Normalization
normalizedUmatrix=NormalizeUmatrix(Data,resUmatrix\$Umatrix,resUmatrix\$Bestmatches)
## visualization
TopviewTopographicMap(GeneralizedUmatrix = normalizedUmatrix,resUmatrix\$Bestmatches)

``````

GeneralizedUmatrix documentation built on May 31, 2023, 7:26 p.m.