Github user rezazadeh commented on the pull request:

    https://github.com/apache/spark/pull/1778#issuecomment-53975250
  
    Style changes made. Experimental results below.
    
    We run DIMSUM daily on a production-scale ads dataset. After replacing the 
traditional cosine similarity computation in late June, we observe 40% 
improvement in several performance measures, plotted below. The top of the 
y-axis is around 100TB.
    
    
![image](https://cloud.githubusercontent.com/assets/3220351/4100690/56e4380c-30ab-11e4-99d8-73667837d447.png)
    
    
![image](https://cloud.githubusercontent.com/assets/3220351/4100691/618229f4-30ab-11e4-99ce-2056ed5ce2cf.png)
    
    For correctness proof, see Theorem 4.3 in 
http://stanford.edu/~rezab/papers/dimsum.pdf



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