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https://issues.apache.org/jira/browse/MAHOUT-1507?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13961343#comment-13961343
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Ted Dunning commented on MAHOUT-1507:
-------------------------------------


Just a warning that the last time that Mahout made a serious run at this sort 
of thing, the effort ran off the rails when it came to doing matrix 
multiplications (or any join-like operation) on labeled matrices and vectors 
which had the data in different orders.  The general feeling back then was that 
we saw a rat-hole looming.

Since then, the general approach has been to use external dictionaries and to 
require that data be forced into the canonical ordering defined by the 
dictionary by the user.  The user, item input format used by the recommendation 
stuff is effectively doing that implicitly.

Looking forward, the approach that Pat is recommending seems pretty plausible.  
The internal indices will take precedence, but if a mapping dictionary can be 
carried around, the user may be able to pretend ignorance of these indexes.  
The only problem is the creation of such a dictionary, but since the dictionary 
itself is pretty small, it is easy to do a map-reduce style aggregation pass 
over the data to produce a consensus dictionary.  This is pain in a world 
limited to Hadoop MapReduce, but not a massive deal on Spark or h2o.

I do think that the alternative to translation on input and output is untenably 
complex.

> Support External/Foreign Keys/IDs for Vectors and Matrices
> ----------------------------------------------------------
>
>                 Key: MAHOUT-1507
>                 URL: https://issues.apache.org/jira/browse/MAHOUT-1507
>             Project: Mahout
>          Issue Type: Bug
>          Components: Math
>    Affects Versions: 0.9
>         Environment: Spark Scala
>            Reporter: Pat Ferrel
>              Labels: spark
>             Fix For: 1.0
>
>
> All users of Mahout have data which is addressed by keys or IDs of their own 
> devise. In order to use much of Mahout they must translate these IDs into 
> Mahout IDs, then run their jobs and translate back again when retrieving the 
> output. If the ID space is very large this is a difficult problem for users 
> to solve at scale.
> For many Mahout operations this would not be necessary if these external keys 
> could be maintained for vectors and dimensions, or for rows and columns of a 
> DRM.
> The reason I bring this up now is that much groundwork is being laid for 
> Mahout's future on Spark so getting this notion in early could be 
> fundamentally important and used to build on.
> If external IDs for rows and columns were maintained then RSJ, DRM Transpose 
> (and other DRM ops), vector extraction, clustering, and recommenders would 
> need no ID translation steps, a big user win.
> A partial solution might be to support external row IDs alone somewhat like 
> the NamedVector and PropertyVector in the Mahout hadoop code.
> On Apr 3, 2014, at 11:00 AM, Pat Ferrel <[email protected]> wrote:
> Perhaps this is best phrased as a feature request.
> On Apr 2, 2014, at 2:55 PM, Dmitriy Lyubimov <[email protected]> wrote:
> PS.
> sequence file keys have also special meaning if they are Ints. .E.g. A'
> physical operator requires keys to be ints, in which case it interprets
> them as row indexes that become column indexes. This of course isn't always
> the case, e.g. (Aexpr).t %*% Aexpr doesn't require int indices because in
> reality optimizer will never choose actual transposition as a physical step
> in such pipeline. This interpretation is consistent with interpretation of
> long-existing Hadoop-side DistributedRowMatrix#transpose.
> On Wed, Apr 2, 2014 at 2:45 PM, Dmitriy Lyubimov <[email protected]> wrote:
> On Wed, Apr 2, 2014 at 1:56 PM, Pat Ferrel <[email protected]> wrote:
> On Apr 2, 2014, at 1:39 PM, Dmitriy Lyubimov <[email protected]> wrote:
> I think this duality, names and keys, is not very healthy really, and
> just
> creates addtutiinal hassle. Spark drm takes care of keys automatically
> thoughout, but propagating names from name vectors is solely algorithm
> concern as it stands.
> Not sure what you mean.
> Not what you think, it looks like.
> I mean that Mahout DRM structure is a bag of (key -> Vector) pairs. When
> persisted, key goes to the key of a sequence file. In particular, it means
> that there is a case of Bag[ key -> NamedVector]. Which means, external
> anchor could be saved to either key or name of a row. In practice it causes
> compatibility mess, e.g. we saw those numerous cases where e.g. seq2sparse
> saves external keys (file paths) into  key, whereas e.g. clustering
> algorithms are not seeing them because they expect them to be the name part
> of the vector. I am just saying we have two ways to name the rows, and it
> is generally not a healthy choice for the aforementioned reason.
> In my experience Names and Properties are primarily used to store
> external keys, which are quite healthy.
> Users never have data with Mahout keys, they must constantly go back and
> forth. This is exactly what the R data frame does, no? I'm not so concerned
> with being able to address an element by the external key
> drmB["pat"]["iPad'] like a HashMap. But it would sure be nice to have the
> external ids follow the data through any calculation that makes sense.
> I am with you on this.
> This would mean clustering, recommendations, transpose, RSJ would require
> no id transforming steps. This would make dealing with Mahout much easier.
> Data frames is a little bit a different thing, right now we work just with
> matrices. Although, yes, our in-core matrices support row and column names
> (just like in R) and distributed matrices support row keys only.  what i
> mean is that algebraic expression e.g.
> Aexpr %*% Bexpr will automatically propagate _keys_ from Aexpr as implied
> above, but not necessarily named vectors, because internally algorithms
> blockify things into matrix blocks, and i am far from sure that Mahout
> in-core stuff works correctly with named vectors as part of a matrix block
> in all situations. I may be wrong. I always relied on sequence file keys to
> identify data points.
> Note that sequence file keys are bigger than just a name, it is anything
> Writable. I.e. you could save a data structure there, as long as you have a
> Writable for it.
> On Apr 2, 2014 1:08 PM, "Pat Ferrel" <[email protected]> wrote:
> Are the Spark efforts supporting all Mahout Vector types? Named,
> Property
> Vectors? It occurred to me that data frames in R is a related but more
> general solution. If all rows and columns of a DRM and their
> coresponding
> Vectors (row or column vectors) were to support arbitrary properties
> attached to them in such a way that they are preserved during
> transpose,
> Vector extraction, and any other operations that make sense there
> would be
> a huge benefit for users.
> One of the constant problems with input to Mahout is translation of
> IDs.
> External to Mahout going in, Mahout to external coming out. Most of
> this
> would be unneeded if Mahout supported data frames, some would be
> avoided by
> supporting named or property vectors universally.



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