Syntax with type parameter `{m}` in `OrdinalPatterns` is not harmonious with the rest of the library

[Datseris]

Making the ordinal patterns take m as a type parameter, as opposted to a keyowrd, was likely a mistake. Does it have a perforamnce benefit? If it does, it can only have one if m is given as a constant literal, 3, and not if it is given as a variable m, because in the later case the type can anyways not be inferred.

However, there are so many other types/outcome spaces that do delay embedding, yet m is a keyword. E.g., Dispersion, Cosine, etc. This is not harmonious and can even be confusing to a user ("why does one take m in one way and the other in another way...?").

I think we should revert the ordinal pattern decision and make it be a keyword there as well...

[kahaaga]

This would not be breaking, so should be fine. Either alternative is good with me.

[Datseris]

This is high priority now, because that is the syntax we use in the paper. ANother thing I am taken aback we haven't closed yet. Damn, I should have gone thorugh the issues list before putting the paper online.

[kahaaga]

Are you on it, or should I do it, @Datseris ?

[kahaaga]

Note that we also need to change BubbleSortSwapsEncoding, because it uses the same syntax.

[Datseris]

haven't started yet!

[kahaaga]

Actually, the syntax OrdinalPatternEncoding(m=3) already works - we did that for backwards compatibility when releasing 3.0. We just need to update the docstring.

[kahaaga]

For BubbleSortSwapsEncoding, we do, however, need another constructor

[Datseris]

We just need to update the docstring.

and probably also move the code from deprecated.jl into the main source.

[kahaaga]

Decision to be made: should m, tau, etc be keywords or positional arguments? Currently we have

Dispersion(; c = 5, m = 2, τ = 1, check_unique = true)
 CosineSimilarityBinning(; m::Int, τ::Int, nbins::Int)
 SequentialPairDistances(x::AbstractVector; n = 3, metric = Chebyshev(), m = 3, τ = 1)
 etc...

while (after updating syntax) we have

OrdinalPatterns(m = 3, τ = 1, lt::Function = ComplexityMeasures.isless_rand) # positional
# and the same for the other ordinal pattern outcomes spaces

I like keyword arguments better. Any objections?

[Datseris]

Keyword arguments are fine!