Projection2Bestmatches {ProjectionBasedClustering}

Projection to Bestmatches

Description

Transformation of projected points to bestmatches defined by generalized Umatrix

Usage

Projection2Bestmatches(ProjectedPoints)

Arguments

ProjectedPoints

[1:n,1:2] n projected points in two-dimensional space.

Details

It is assumed that an unambiguous assignment between projected points and data points is given.

Value

Bestmatches

[1:n,1:2] Positions of GridConverted Projected Points, which can be used for the generalized Umatrix, to the predefined Grid by Lines and Columns. First Columns has the content of the Line No and second Column of the Column number.

LC

[1:2] vector if Line No. and ColumnNo. which defines the size of the grid of the generalized Umatrix

Note

Details of the equations used are written down in [Thrun, 2018, p. 47].

Author(s)

Michael Thrun

References

[Thrun, 2018] Thrun, M. C.: Projection Based Clustering through Self-Organization and Swarm Intelligence, doctoral dissertation 2017, Springer, Heidelberg, ISBN: 978-3-658-20539-3, doi:10.1007/978-3-658-20540-9, 2018.

See Also

XYcoords2LinesColumns

Examples

data('Hepta')
ProjList=MDS(Hepta$Data)
trafo=Projection2Bestmatches(ProjList$ProjectedPoints)