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https://issues.apache.org/jira/browse/MAHOUT-542?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13066826#comment-13066826
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Sebastian Schelter commented on MAHOUT-542:
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The problem with this naive approach is that the resulting matrix is going to 
be huge (millions of users times hundred thousands of items) and dense, which 
makes it uncomputable.

I'm not aware of a general approach of computing recommendations from matrix 
decompositions, in the scientific literature these are only used for measuring 
the prediction error on held out data (as far as I know)

> MapReduce implementation of ALS-WR
> ----------------------------------
>
>                 Key: MAHOUT-542
>                 URL: https://issues.apache.org/jira/browse/MAHOUT-542
>             Project: Mahout
>          Issue Type: New Feature
>          Components: Collaborative Filtering
>    Affects Versions: 0.5
>            Reporter: Sebastian Schelter
>            Assignee: Sebastian Schelter
>             Fix For: 0.5
>
>         Attachments: MAHOUT-452.patch, MAHOUT-542-2.patch, 
> MAHOUT-542-3.patch, MAHOUT-542-4.patch, MAHOUT-542-5.patch, 
> MAHOUT-542-6.patch, logs.zip
>
>
> As Mahout is currently lacking a distributed collaborative filtering 
> algorithm that uses matrix factorization, I spent some time reading through a 
> couple of the Netflix papers and stumbled upon the "Large-scale Parallel 
> Collaborative Filtering for the Netflix Prize" available at 
> http://www.hpl.hp.com/personal/Robert_Schreiber/papers/2008%20AAIM%20Netflix/netflix_aaim08(submitted).pdf.
> It describes a parallel algorithm that uses "Alternating-Least-Squares with 
> Weighted-λ-Regularization" to factorize the preference-matrix and gives some 
> insights on how the authors distributed the computation using Matlab.
> It seemed to me that this approach could also easily be parallelized using 
> Map/Reduce, so I sat down and created a prototype version. I'm not really 
> sure I got the mathematical details correct (they need some optimization 
> anyway), but I wanna put up my prototype implementation here per Yonik's law 
> of patches.
> Maybe someone has the time and motivation to work a little on this with me. 
> It would be great if someone could validate the approach taken (I'm willing 
> to help as the code might not be intuitive to read) and could try to 
> factorize some test data and give feedback then.

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