Github user srowen commented on the issue:

    https://github.com/apache/spark/pull/14956
  
    @mateiz I was able to reproduce the result in Figure 5.3 very closely 
(Spambase data set) and the result in Figure 5.2  pretty closely (mixture of 
Gaussians). In each case it seems like the final cost doesn't change much after 
2 init steps. I didn't find as much of a jump in cost for 1 init step in 
mixture of Gaussians, but otherwise it matched well in terms of the log10 of 
sum of squares cost reported in the paper vs the implementation. (I have code 
if anyone cares.)
    
    For example here's number of steps vs log10 of cost for...
    
    k=20
    1   7.344
    2   7.404
    3   7.401
    4   7.389
    5   7.396
    6   7.423
    7   7.374
    8   7.442
    9   7.402
    10  7.345
    
    k=50
    1   6.940
    2   6.817
    3   6.831
    4   6.798
    5   6.888
    6   6.803
    7   6.838
    8   6.815
    9   6.818
    10  6.804
    
    k=100
    1   6.663
    2   6.359
    3   6.400
    4   6.345
    5   6.397
    6   6.407
    7   6.367
    8   6.452
    9   6.368
    10  6.413


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