Well, I am sure that these algorithms can be parallelized, using 28.io, or
other vendor solutions.
However, honestly, today, you would have to spend tons of processors,
watts, intelligence, to perform a matrix multiplication over a 4000x4000
matrix with JSONiq or XQUERY 3.0.
I can compute such a multiplication within a second using BLAS over a
single threaded process.


2014-02-03 Ghislain Fourny <[email protected]>:

> Hi,
>
> With a naive parallelism approach (on $i and $j), I think it's possible to
> bring it down to O(N) with a constant cost (in dollars), assuming "full
> cloud elasticity" (i.e., the number of instances that can be triggered up
> is not the bottleneck).
>
> The 28.io platform should supports this (disclaimer: it's my employer).
>
> Kind regards,
> Ghislain
>
>
> On 03 Feb 2014, at 12:30, jean-marc Mercier <[email protected]>
> wrote:
>
> > Hi all,
> >
> > I've tried the following JSON query with zorba, mimicking a NxN, with
> N=200, matrix multiplications. Time is 10 sec on http://try.zorba.io/,
> behaving with a cubic N^3 complexitity.
> > Do you really want to know what are the performances of standard linear
> algebra library for such matrix multiplications ?
> >
> >
> >
> >
> > import module namespace datetime = "
> http://www.zorba-xquery.com/modules/datetime";;
> >
> > declare variable $size := 200;
> >
> > declare variable $A := [ for $i in 1 to $size return
> >     [
> >         for $j in 1 to $size return $i*$size+$j
> >     ]
> > ];
> >
> > let $R := ( datetime:current-time(),
> >   [
> >     for $i in 1 to count(jn:members($A)) return
> >     [
> >       for $k in 1 to count(jn:members($A)) return
> >         fn:sum(
> >           for $j in 1 to count(jn:members($A)) return
> >             $A($i)($j) * $A($j)($k)
> >         )
> >     ]
> >   ]
> > , datetime:current-time() )
> >
> > return $R[count($R)] - $R[1]
> >
> >
> > 2014-02-03 David Carlisle <[email protected]>:
> > On 03/02/2014 10:56, Hermann Stamm-Wilbrandt wrote:
> > PT1.713634S (JSONiq) versus PT9.77805S (XQuery)
> >
> >
> > ooh interesting , I wonder where the bottleneck in the xquery is.
> > Probably as Michael commented at some point earlier in the thread, the
> > time to access the ith element of a sequence $a[$i].
> >
> >
> > But the language doesn't _need_ to change, just if more people did it
> > the xquery compilers would perhaps look out for sequences that are
> > exclusively accessed via numeric filters and implement them in a way
> > that gives constant time access. Having a separate array type does give
> > them a big hint though:-)
> >
> > David
> >
> >
> > ________________________________________________________________________
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>
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