GeneralizedUmatrix: Credible Visualization for Two-Dimensional Projections of Data

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>.

Version: 1.2.6
Depends: R (≥ 3.0)
Imports: Rcpp (≥ 1.0.8), RcppParallel (≥ 5.1.4), ggplot2
LinkingTo: Rcpp, RcppArmadillo, RcppParallel
Suggests: DataVisualizations, rgl, grid, mgcv, png, reshape2, fields, ABCanalysis, plotly, deldir, methods, knitr (≥ 1.12), rmarkdown (≥ 0.9)
Published: 2023-05-30
DOI: 10.32614/CRAN.package.GeneralizedUmatrix
Author: Michael Thrun ORCID iD [aut, cre, cph], Felix Pape [ctb, ctr], Tim Schreier [ctb, ctr], Luis Winckelman [ctb, ctr], Quirin Stier [ctb, ctr], Alfred Ultsch [ths]
Maintainer: Michael Thrun <m.thrun at>
License: GPL-3
NeedsCompilation: yes
SystemRequirements: GNU make, pandoc (>=1.12.3, needed for vignettes)
Citation: GeneralizedUmatrix citation info
Materials: README
CRAN checks: GeneralizedUmatrix results


Reference manual: GeneralizedUmatrix.pdf
Vignettes: Uncovering High-Dimensional Structures of Projections from Dimensionality Reduction Methods


Package source: GeneralizedUmatrix_1.2.6.tar.gz
Windows binaries: r-devel:, r-release:, r-oldrel:
macOS binaries: r-release (arm64): GeneralizedUmatrix_1.2.6.tgz, r-oldrel (arm64): GeneralizedUmatrix_1.2.6.tgz, r-release (x86_64): GeneralizedUmatrix_1.2.6.tgz, r-oldrel (x86_64): GeneralizedUmatrix_1.2.6.tgz
Old sources: GeneralizedUmatrix archive

Reverse dependencies:

Reverse imports: DatabionicSwarm, ProjectionBasedClustering
Reverse suggests: FCPS


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