Credible Visualization for Two-Dimensional Projections of Data
Projections from a high-dimensional data space onto a two-dimensional plane are used to detect structures, such as clusters, in multivariate data. The generalized Umatrix is able to visualize errors of these two-dimensional scatter plots by using a 3D topographic map.

matrixStats, rgl, grid, mgcv, png, ProjectionBasedClustering,
reshape2, fields

c(person("Michael", "Thrun", email= "m.thrun@gmx.net",role=c("aut","cre","cph")),person("Alfred", "Ultsch",role="ths"))
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]. 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 based on the book of Thrun, M.C.: "Projection Based Clustering through Self-Organization and Swarm Intelligence" (2018) <DOI:10.1007/978-3-658-20540-9>.
DataVisualizations, DatabionicSwarm, matrixStats, rgl, grid,
mgcv, png, ProjectionBasedClustering, reshape2, fields
Michael Thrun [aut, cre, cph],
Alfred Ultsch [ths]

DataVisualizations, DatabionicSwarm, matrixStats, rgl, grid,
mgcv, png, ProjectionBasedClustering, reshape2, fields,
ABCanalysis, knitr (>= 1.12), rmarkdown (>= 0.9)

c(person("Michael", "Thrun", email= "m.thrun@gmx.net",role=c("aut","cre","cph"), comment = c(ORCID = "0000-0001-9542-5543")),person("Felix", "Pape",role=c("ctb","ctr")),person("Tim", "Schreier",role=c("ctb","ctr")),person("Luis", "Winckelman",role=c("ctb","ctr")),person("Alfred", "Ultsch",role="ths"))
DataVisualizations, DatabionicSwarm, matrixStats, rgl, grid,
mgcv, png, ProjectionBasedClustering, reshape2, fields,
ABCanalysis, plotly, deldir, shiny, knitr (>= 1.12), rmarkdown
(>= 0.9)
Michael Thrun [aut, cre, cph] (<https://orcid.org/0000-0001-9542-5543>),
Felix Pape [ctb, ctr],
Tim Schreier [ctb, ctr],
Luis Winckelman [ctb, ctr],
Alfred Ultsch [ths]