# Practical problems with correlation dimension

k p Collins kpaulc at [----------]earthlink.net
Fri Jan 23 22:59:50 EST 2004

```targeting at OMCL.mil,

I stand on what I've posted.

So do you :-]

K. P. Collins

"Doktor DynaSoar" <targeting at OMCL.mil> wrote in message
news:ak3v009or613sdcgnesmum5eg25nh9h9n4 at 4ax.com...
> On Wed, 21 Jan 2004 13:38:40 GMT, "k p  Collins"
> <kpaulc@[----------]earthlink.net>, apparently tired of ranting to
> those as cognitively diverse as he, chose to annoy newsgroups
> typically free of idiocy like his, with:
>
> } "Karl" <karlknoblich at yahoo.de> wrote in message
> } > Hallo!
> } >
> } > I want to calculate the correlation dimension of a time serie.
> } >
> } > What I have done
> } > I calculated the correlation integral C(r) (number of point having a
> } > distance smaller than r) for different embedding dimensions. Taking
> } > the slopes of the curve of log C(r) against log r for the different
> } > embedding dimensions and plotting them against the embedding dimension
> } > should result in a limes of the slopes: the correlation dimension.
> } >
> } > My problem
> } > Which slope shall I take?
> } >
> } > In examples I saw in text books there is a nice limit of the slopes
> } > with higher embedding dimensions. In my data I do not know which slope
> } > I should take because the slope of the curve varies. If I take the
> } > slope at a certain value of log r I can not get a limes.
> } >
> } > My curves (log C(r) against log r) can be seen in
> } > http://karlknoblich.4t.com/korrdim.jpg
> } >
> } >
> } > What to do? Does anybody knows such data and how to handle it?
> } >
> } > Hope somebody can help!
> } >
> } > Karl
> }
> } What I will say has not yet been accepted by others,
>
> That's because you're about to prove to everyone not already aware of
> the fact that you're a complete moron. Watch:
>
> } You're missing some crucial data that cross-correlates
> } your 'time' series to the cerebellar topology.
>
> I couldn't possibly add anything to prove the point better.
>