I would love to see some tests of pure XQuery implementations of both sparse and dense operations. I suspect performance of matrix multiply, inversion, etc, will be poorer than in C++ or Java, but I would expect performance comparable to Perl or Python (w/o its numpy extension) - just a wild guess. I'd also expect it might be easier to get good sparse performance. I don't know why, just a hunch.

But the more interesting question for me is whether language changes are really needed to support this. I would have thought that proper optimization of operations on sequences would be enough? So for example, an extension module using sequences as matrix datatypes could possibly optimize performance using a lower-level implementation. Does anyone see any reason why that wouldn't be possible?

-Mike

PS:
I reviewed the discussion you referred to, jean-marc, but it seems to have more to do with using functions as map keys, and I don't see any direct connection to linear algebra?

On 12/31/2013 9:55 AM, jean-marc Mercier wrote:
It is not due to the spec. It is rather due to the common usage of XQUERY, forcing vendor solutions (as BaseX) to focus primarily on XML Data Base requests more than algorithmic performances. There are actually some threads that are discussing these performance issues in the context of maps (maps are for instance used for sparse matrix representations) : look for instance to ""map module for XQUERY ?" that I initiated or "Higher-order XQuery Modules" by Leo from BaseX, on [email protected] <http://x-query.com> mailing list. Anyhow, to write a serious linear algebra modulus, the basic need is to have a vector containers. Unfortunately, XQUERY does not provide any performant vector containers at present time, and it is not possible to code them in pure XQUERY : I have tried, and more experienced xquery developpers than me have also tried, without success.

We have to wait for the XQUERY version that will give us these containers, a decision to be taken by the W3C.



2013/12/31 Andrew Welch <[email protected] <mailto:[email protected]>>


    Are you saying the spec as it stands somehow forces all
    implementations to be 1000x slower, or just what you have observed
    in some particular implementation?


    On 31 Dec 2013 14:27, "jean-marc Mercier"
    <[email protected] <mailto:[email protected]>>
    wrote:
    >
    > As far as I understand, you want to write a linear algebra
    module using XQUERY ?
    > If so, I opened a thread some months ago about this idea. My
    opinion today is that this is a false good idea at present time.
    >
    > 1) XQUERY would be really good for writing concise, efficient
    linear algebra modulus.
    > 2) However, I strongly recommend to wait a little bit for
    starting coding : the current version of XQUERY (3.0) suffers from
    performance issues. A linear algebra modulus written in XQUERY is
    expected to have performances performances 1000 X slower than its
    corresponding C++ or JAVA (you can measure it precisely). Any
    mathematician linear algebra modulus would probably trashed your
    modulus after the first test.
    >
    > Hope this helps
    >
    >
    >
    > 2013/12/31 Ihe Onwuka <[email protected]
    <mailto:[email protected]>>
    >>
    >> Assuming a sparse representation it is about 4 lines of SQL.
    This is known not least because you can read enough articles and
    papers that discuss it and it optimises well. The obvious google
    search does not reveal any corresponding XQuery discussion,
    neither does it appear to have surfaced on this or the eXist
    mailing list (allowing for my deficient search skills). For
    something so "trivial" I thought that was rather strange. Hence I
thought it would be prudent to ask before naively embarking on a 600k X 40k matrix multiplication.
    >>
    >>
    >>
    >> On Tue, Dec 31, 2013 at 11:31 AM, Andrew Welch
    <[email protected] <mailto:[email protected]>> wrote:
    >>>
    >>>
    >>> It should be pretty trivial...
    >>>
    >>> On 31 Dec 2013 11:07, "Ihe Onwuka" <[email protected]
    <mailto:[email protected]>> wrote:
    >>> >
    >>> > Has anybody tried this in XQuery or if I am so foolish (not
yet but give me time) would I be the courageous <culturalReference>http://www.youtube.com/watch?v=ik8JT2S-kBE</culturalReference>
    early adopter.
    >>> >
    >>> >
    >>> > _______________________________________________
    >>> > [email protected] <mailto:[email protected]>
    >>> > http://x-query.com/mailman/listinfo/talk
    >>
    >>
    >>
    >> _______________________________________________
    >> [email protected] <mailto:[email protected]>
    >> http://x-query.com/mailman/listinfo/talk
    >
    >




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