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Re: Automatic Binsize Calculations [message #76406 is a reply to message #76260] Mon, 30 May 2011 11:26 Go to previous messageGo to previous message
manodeep@gmail.com is currently offline  manodeep@gmail.com
Messages: 33
Registered: June 2006
Member
On May 30, 8:47 am, Craig Markwardt <craig.markwa...@gmail.com> wrote:
> On May 29, 12:42 pm, David Fanning <n...@idlcoyote.com> wrote:
>
>
>
>
>
>
>
>
>
>> Gianguido Cianci writes:
>>> Here's what I came up with, using sshist_2d.pro
>>> (http://tinyurl.com/3on7bzx) that automagically finds bin size:
>
>> I don't have a television, so while I listened to Djokovic
>> defeat Gasquet on the French Open Radio I was fooling
>> around using the 1D version of sshist to calculate
>> a default bin size for cgHistoplot. What I discovered
>> is that I get completely different results depending
>> on the data type of the input data!
>
>> I modified sshist a bit to get the bin size out of it
>> as a keyword:
>
>> ; Author: Shigenobu Hirose at JAMSTEC
>> ; based on original paper
>> ; Shimazaki and Shinomoto, Neural Computation 19, 1503-1527, 2007
>> ; http://toyoizumilab.brain.riken.jp/hideaki/res/histogram.htm l
>> ;
>> function sshist, data, x=x, cost=cost, nbin=nbin, binsize=binsize
>
>>   COMPILE_OPT idl2
>
>>   nbin_min = 2
>>   nbin_max = 200
>
>>   ntrial = nbin_max - nbin_min + 1
>
>>   nbin  = INDGEN(ntrial) + nbin_min
>
>>   delta = FLTARR(ntrial)
>>   cost  = FLTARR(ntrial)
>
>>   for n = 0, ntrial-1  do begin
>>      delta[n] = (MAX(data) - MIN(data)) / (nbin[n] - 1)
>
>>      k = HISTOGRAM(data, nbins=nbin[n])
>
>>      kmean = MEAN(k)
>>      kvari = MEAN((k - kmean)^2)
>>      cost[n] = (2. * kmean - kvari) / delta[n]^2
>>   endfor
>
>>   n = (WHERE(cost eq MIN(cost)))[0]
>>   k = HISTOGRAM(data, nbins=nbin[n], locations=x, reverse_indices=ri)
>
>>   if arg_present(binsize) then binsize = delta[n]
>>   return, k
>
>> end
>
>> But, look at this:
>
>> IDL> void = sshist(cgdemodata(21), binsize=bs) & print, bs
>>       9.00000
>> IDL> void = sshist(fix(cgdemodata(21)), binsize=bs) & print, bs
>>       1.00000
>> IDL> void = sshist(long(cgdemodata(21)), binsize=bs) & print, bs
>>       1.00000
>> IDL> void = sshist(float(cgdemodata(21)), binsize=bs) & print, bs
>>       1.33684
>
>> I have NO idea why this is occurring. :-(
>
> I think you have more than one thing going on, which is making things
> more confusing than otherwise.
>
> First, it looks like there is a serious bug in HISTOGRAM, which
> produces *negative* counts for byte data.  Check this out:
> IDL> print, histogram(cgdemodata(21), nbins=nbin[n])
>        13591       43618      108702       55359       37621
> 15767
>         9343  -975994564
> Huh?? *Negative* 1 billion?  This bug exists in IDL7, so it's been
> around for a while.  I can't believe this hasn't showed up before!
>

It gets even more weird:


IDL> print,!version
{ x86_64 linux unix linux 8.0 Jun 18 2010 64 64}

IDL> xx = cgdemodata(21)
IDL> print,total(histogram(xx,nbin=16b,min=0b,max=255b),/pres)
1798093803
IDL> print,total(histogram(cgdemodata(21),nbin=16b,min=0b,max=255 b),/
pres)
-2145213021

IDL> print,total(histogram(cgdemodata(21),nbin=16b,min=0b,max=255 b),/
pres)
-2145229853

And the last one output changes arbitrarily. So now the result is
dependent on whether a named variable is passed into histogram or not.
Now if I just change the min keyword for histogram, I get:


IDL> print,total(histogram(cgdemodata(21),nbin=16b,min=1b,max=255 b),/
pres)
168048
IDL> print,total(histogram(xx,nbin=16b,min=1b,max=255b),/pres)
168048
IDL> print,n_elements(xx)
168048

So that looks good, i.e., no negative histogram counts. Histogram
(with min=0b) still produces negative counts - so the bug is intrinsic
to the way histogram is handling byte data. Setting some of the xx
values to 0b doesn't change the billion particle count in the final
bin. I guess what's happening is that the binwidth is > 1b, therefore
the last bin actually also contains numbers that are also between
[0b-15b].

IDL> print,total(histogram(xx,nbin=256,min=0b,max=255b),/pres)
168048

Voila. The binsize now means no wrapping and there are no issues with
histogram. Note that you can not set nbins > 256, since binsize will
become 0b (and histogram will complain about illegal binsize).


Cheers,
Manodeep
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