Provide a non-distributed counterpart of the sampling which is applied in the 
distributed item similarity computation
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                 Key: MAHOUT-914
                 URL: https://issues.apache.org/jira/browse/MAHOUT-914
             Project: Mahout
          Issue Type: New Feature
          Components: Collaborative Filtering
    Affects Versions: 0.6
            Reporter: Sebastian Schelter
            Assignee: Sebastian Schelter
         Attachments: downsampling.png

The distributed item similarity computation applies a so-called 
'interaction-cut': it selectively down samples 'power users' in 
org.apache.mahout.cf.taste.hadoop.preparation.ToItemVectorsMapper. This is done 
because the users with the most interactions usually dominate the runtime 
without providing much benefit to the quality, as users with an enormous amount 
of interactions are very often crawlers or people sharing an account.

Mahout should have an exact counterpart of this strategy for the 
non-distributed code.

I also attach a figure that shows experiments with this strategy for the 
movielens 1M dataset. The dataset was split into 90% training and 10% test set. 
An interaction cut of size k was applied and the prediction quality (using mean 
average error) was measured. The prediction in the unsampled dataset 
corresponds to using k = 1000 as this is the maximum number of interactions per 
user. We see that with k > 300 the error seems to converge and we get a quality 
that sufficiently replicates the unsampled quality.

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