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# CITATION file created with {cffr} R package
# See also: https://docs.ropensci.org/cffr/
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cff-version: 1.2.0
message: 'To cite package "GeneralizedUmatrixGPU" in publications use:'
type: software
license: GPL-3.0-only
title: 'GeneralizedUmatrixGPU: Credible Visualization for Two-Dimensional Projections
  of Data'
version: 0.1.14
doi: 10.1016/j.mex.2020.101093
identifiers:
- type: doi
  value: 10.32614/CRAN.package.GeneralizedUmatrixGPU
abstract: '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 Thrun,
  M.C. and Ultsch, A.: "Uncovering High-dimensional Structures of Projections from
  Dimensionality Reduction Methods" (2020) <DOI:10.1016/j.mex.2020.101093>.'
authors:
- family-names: Stier
  given-names: Quirin
  email: Quirin_Stier@gmx.de
  orcid: https://orcid.org/0000-0002-7896-4737
- family-names: Thrun
  given-names: Michael
  orcid: https://orcid.org/0000-0001-9542-5543
preferred-citation:
  type: article
  title: Uncovering High-Dimensional Structures of Projections from Dimensionality
    Reduction Methods
  authors:
  - family-names: Thrun
    given-names: Michael Christoph
  - family-names: Ultsch
    given-names: Alfred
  journal: MethodsX
  volume: '7'
  year: '2020'
  issn: 2215-0161
  doi: 10.1016/j.mex.2020.101093
  url: https://doi.org/10.1016/j.mex.2020.101093
  start: '101093'
repository: https://cran.r-universe.dev
commit: 21e72a53305683f4b72fd54bc8b501bc8bd3b08c
date-released: '2026-01-26'
contact:
- family-names: Stier
  given-names: Quirin
  email: Quirin_Stier@gmx.de
  orcid: https://orcid.org/0000-0002-7896-4737