Topology is Connectedness

ken kpaulc at [remove]earthlink.net
Thu Mar 18 01:54:33 EST 2004


Where has 'dinosaur' gone?

'Interesting'.

K. P. Collins

"Doktor DynaSoar" <targeting at OMCL.mil> wrote in message
news:is0l30182sgrpuruft07ijlrdnej40u9v8 at 4ax.com...
> On Mon, 23 Feb 2004 08:26:01 GMT, "k p  Collins"
> <kpaulc@[----------]earthlink.net> wrote:
>
> } I stand on what =I've= posted.
>
> All of it?
>
> "You're missing some crucial data that cross-correlates
> your 'time' series to the cerebellar topology.
>
> The cerebellum is a topographically-mapped subsystem.
>
> Any analysis must preserve, and incorporate, that mapping
> if the correlations are to be meaningful."
>
>
>
> From: "k p  Collins" <kpaulc@[----------]earthlink.net>
> Newsgroups:
> sci.nonlinear,sci.bio.technology,sci.math,bionet.neuroscience,sci.fractals
> References: <235b9607.0401210500.3ebedda5 at posting.google.com>
> Subject: Re: Practical problems with correlation dimension
> Lines: 68
> Organization: sufficient
> X-Priority: 3
> X-MSMail-Priority: Normal
> X-Newsreader: Microsoft Outlook Express 6.00.2600.0000
> X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2600.0000
> Message-ID: <AhvPb.17594$q4.2672 at newsread3.news.atl.earthlink.net>
> Date: Wed, 21 Jan 2004 13:38:40 GMT
> NNTP-Posting-Host: 64.91.161.11
> X-Complaints-To: abuse at earthlink.net
> X-Trace: newsread3.news.atl.earthlink.net 1074692320 64.91.161.11
> (Wed, 21 Jan 2004 05:38:40 PST)
> NNTP-Posting-Date: Wed, 21 Jan 2004 05:38:40 PST
>
>
> "Karl" <karlknoblich at yahoo.de> wrote in message
> news:235b9607.0401210500.3ebedda5 at posting.google.com...
> > 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,
> so keep that in mind as you consider it.
>
> You're missing some crucial data that cross-correlates
> your 'time' series to the cerebellar topology.
>
> The cerebellum is a topographically-mapped subsystem.
>
> Any analysis must preserve, and incorporate, that mapping
> if the correlations are to be meaningful.
>
> And, then, to continue, one has to follow this mapping into
> the rest of the brain.
>
> It's a =big= problem, but the mapping is mapped :-] through
> the efforts of Neuroscientists, and all one has to do is 'grind'
> through it.
>
> There a couple of other things that make your analysis Difficult.
>
> One is that the data is virtually always, itself, a transformation.
>
> The other is that the activation that occurs within the cerebellum
> is extremely-dynamic, with a =lot= of different inputs converging
> and 'sliding' with respect to each other. There is such 'sliding'
> stuff with respect to every joint in the skelleton. [These enter
> into the way that the nervous system maintains it's 'awareness'
> of the body's orientation in 3-D space [climbing fibers from
> the inferior olive].] And this is only one set of such 'sliding-field'
> stuff that occurs within the cerebellum. There are hundreds
> [perhaps thousands] more.
>
> So your analysis is Hard.
>
>





More information about the Neur-sci mailing list