Computing the pairwise similarities of the rows of a matrix
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                 Key: MAHOUT-418
                 URL: https://issues.apache.org/jira/browse/MAHOUT-418
             Project: Mahout
          Issue Type: New Feature
          Components: Math
            Reporter: Sebastian Schelter


In response to the wish from MAHOUT-362 and the latest discussion on the 
mailing list started by Kris Jack about computing a document similarity matrix, 
I tried to generalize the approach we're already using to compute the 
item-item-similarities for collaborative filtering.

The job in the patch computes the pairwise similarity of the rows of a matrix 
in a distributed manner, is uses a SequenceFile<IntWritable,VectorWritable> as 
input and outputs such a file too. Custom similarity implementations can be 
supplied, I've already implemented tanimoto and cosine for demo and testing 
purposes. The algorithm is based on the one presented here: 
http://www.umiacs.umd.edu/~jimmylin/publications/Elsayed_etal_ACL2008_short.pdf

I'd be glad if someone could verify the applicability of this approach by 
running it with a reasonably large input, I'm also worried that it might buffer 
to much data in certain steps.

If you decide to include it in mahout, some more efforts and decisions (like 
more tests, more similarity measures, integration with DistributedRowMatrix) 
would need to be made, I guess.


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