transformPermCoding function

A function to generate a vector from an index-transformation vector from a permutation coding scheme

Generates a position vector to change the ordinal pattern distribution in the default permutation coding scheme (i.e. generated by ordinal_pattern_distribution(x, ndemb)) into a user-specified coding scheme. This is a required input for the function changePermCodingOPD.

transformPermCoding(target_pattern, ndemb)

Arguments

• target_pattern: A numeric matrix that specifies the pattern to be transformed into the position vector.
• ndemb: Embedding dimension of the ordinal patterns (i.e. sliding window size). Should be chosen such as length(x) >> ndemb

Returns

A numeric vector of length factorial(ndemb), which contains the positions of the corresponding patterns in the Keller Coding scheme.

Details

This function returns a character vector to transform the output of ordinal_pattern_distribution (permutation coding as of Keller and Sinn, 2005) into a user-specified permutation coding scheme. For example, pattern #5 in "lehmerperm" (ndemb = 5) is given by the ranks c(0, 1, 4, 2, 3). This corresponds to pattern #41 in the (original) Keller coding scheme, as given by transformPermCoding(target_pattern = "lehmerperm", ndemb = 5)[5].

Examples

transformPermCoding(target_pattern = "lehmerperm", ndemb = 4)

References

Olivares, F., Plastino, A. and Rosso, O.A., 2012. Ambiguities in Bandt-Pompe's methodology for local entropic quantifiers. Physica A: Statistical Mechanics and its Applications, 391(8), pp.2518-2526.

Author(s)

Sebastian Sippel