My view, in general, is that if a concise version is not competitive then it is 
J's fault ;) ...    T2=. 5000 40 $ ?.200000#5    fsdm0=: +/@:="1/~       NB. 
Tarmo Veskioja's original
   fsdm1=: +/"1@:(="1/~)   NB. Victor Cerovski's
   fsdm2=: +/@:(=/~"1)@:|: NB. Raul Miller's    fsdm3=. +/ .= |:    st=. 
7!:2@:] , 6!:2    1 st'fsdm0 T2'
135333632 14.5976951
   1 st'fsdm1 T2'
1.20796045e9 11.6368667
   1 st'fsdm2 T2'
1.24256371e9 11.2936644
   1 st'fsdm3 T2'
136652544 8.26036541   (fsdm0 -: fsdm3)T2
1… but so far it is competitive.       On Thu, May 17, 2012 at 1:44 PM, Devon 
McCormick <devon...@gmail.com> wrote:
> Depending on how you intend to use this, the following might suggest a
> more substantial speed-up.  I'll  first re-cap what we've seen so far
> to provide a basis for my timings, then I'll sketch out an unfinished
> idea for potentially speeding up the process.
>
>   findSDM=: +/@:="1/~        NB. Tarmo Veskioja's original
>   findSDMvc=: +/"1@:(="1/~)  NB. Victor Cerovski's
>   findSDMrm=: +/@:(=/~"1)    NB. Raul Miller's
>
>   (10) 6!:2 'findSDM t2'
> 5.68061
>   (10) 6!:2 'findSDMvc t2'
> 4.32129
>   (10) 6!:2 'findSDMrm T2' [ T2=: |:t2
> 4.21779
>
> NB. So, the two suggestions are both a little bit better on my machine.
>
> NB. A preliminary idea for speeding up process by reducing amount
> NB. of data processed per invocation by grouping "like" items:
>
>   <.%:#t2                         NB. Try to scale as square root of
> number of records...
> 70
>   refpts=: 70 40 ?@$ 5            NB. Random reference points...
>   $keys=. +/+/"1 refpts="1/t2     NB. Group by similarity to reference points
> 5000
>   $findSDM&.>keys </. t2
> 136
>
> NB. This gives matches within groups - a partial, approximate solution...
>   $&.>findSDM&.>keys </. t2
> +-----+-----+-------+-------+-----+-----+-----+-----...
> |57 57|73 73|107 107|116 116|76 76|29 29|74 74|65 65...
> +-----+-----+-------+-------+-----+-----+-----+-----...
>
> NB. Combining these ideas:
>   findSDMdhm=: 3 : 'refpts;findSDM &.> (+/+/"1 (refpts=:
> ((<.%:#y),1{$y)?@$5)="1/y) </. y'
>   (10) 6!:2 'findSDMdhm t2'
> 0.150275
>
> --
> Devon McCormick, CFA
> ^me^ at acm.
> org is my
> preferred e-mail
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm        
>                                           
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