FractionalDistance: Calculates fractional distances

In BIDistances: Bioinformatic Distances

Calculates fractional distances

Description

Calculates distance matrix, through \left( \sum_{i=1}^{n} |x_i - y_i|^p \right)^{1/p}

Usage

FractionalDistance(Data, p)

Arguments

Data	[1:n,1:d] Matrix, with n cases, d variables
p	Scalar, value for p

Details

Values of p < 1 can be used, which can be useful for high-dimensional data, see references.

Value

DistanceMatrix

[1:n,1:n] symmetric Matrix, containing the distances between the cases (rows) of the input matrix

Author(s)

Michael Thrun

References

Aggrawal, C. C., Hinneburg, A., Keim, D. (2001), On the Suprising Behavior of Distance Metrics in High Dimensional Space.

Examples

data(Hepta)
distMatrix = FractionalDistance(Hepta$Data, p = 1/2)

BIDistances documentation built on June 8, 2025, 10:01 a.m.