DRquality (version 0.2.1)

TopologicalCorrelation: Topological Correlation

Description

Calculates the Topological Correlation

Usage

TopologicalCorrelation(Data,ProjectedPoints,type='norm',method,Kn=0)

Value

TC value

Arguments

Data

[1:n, 1:d] a numeric matrix of the given n-dim. points: the rows represent the points and the columns represent the coordinates in the d-dim. space.

ProjectedPoints

[1:n, 1:2] numeric matrix of Projected Points, if missing, method should be set!

method

Determines whether the selected projections method for a given set of d-dim. points is a good choice. Therefor, a result of 1 means the selected projection method is good, and a result value of 0 means that the Visualization of the given Data in the two-dim. space doesnt fit the problem.

type

How the paths in the adjacency matrix should be weighted. 'norm' representes path lenthgs of 1 and eucldidean represents the distance in the euclidean metric.

Kn

k nearest neighbours in the graph. only needed in method is isomap and LocallyLinearEmbedding

Author

Hermann Tafo, Laukert Schlichting 07/2015

Examples

#requires DatabionicSwarm v2.2.1

# \donttest{
if(requireNamespace("FCPS")){
#data(Hepta,package="FCPS")
#projection=cmdscale(dist(Hepta$Data), k=2)
#TopologicalCorrelation(Hepta$Data,projection)
}
# }
# \dontshow{
#n=100
#Data=cbind(rnorm(100),rnorm(100,2,3))
#TopologicalCorrelation(Data,cbind(runif(n),runif(n)))
# }