Revisit the parallel ALS matrix factorization
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                 Key: MAHOUT-872
                 URL: https://issues.apache.org/jira/browse/MAHOUT-872
             Project: Mahout
          Issue Type: Improvement
          Components: Collaborative Filtering
    Affects Versions: 0.6
            Reporter: Sebastian Schelter
            Assignee: Sebastian Schelter


Our current code for computing a decomposition of a rating matrix with 
Alternating Least Squares (ALS) uses a lot of highly unefficient reduce side 
joins. 

The rating matrix A is decomposed into a matrix U of users x features and a 
matrix M of items x features. Each of these matrices is iteratively recomputed 
until a maximum number of iterations is reached

If we assume that U and M fit into the memory of a single mapper instance, each 
iteration can be implemented as single map-only job, which greatly improves the 
runtime of this job.

Note that in spite of these improvements this job is still rather slow as 
Hadoop is a poor fit for iterative algorithms. Each iteration has to be 
scheduled again and data is always read from and written to disk.


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