Github user zapletal-martin commented on the pull request:

    https://github.com/apache/spark/pull/3519#issuecomment-71986438
  
    @mengxr thanks for very valuable feedback!
    
    Can you please clarify your high-level comment 1)? It is true that by 
flipping the sign the algorithm can be applied to calculate the antitonic case. 
But would you like to see `isotonic` removed just from the algorithm or also 
from the public api? If the former I am not sure if that would actually 
simplify the algorithm, because the sign would have to be flipped twice making 
it a bit more intricate to understand. The latter would potentially make it a 
bit more difficult to use for a user for the antitonic case.


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