Github user neggert commented on the issue:

    https://github.com/apache/spark/pull/15018
  
    Alright, the PAV algorithm has been completely re-written to follow what's 
outlined in "Minimizing Separable Convex Functions Subject to Simple Chain 
Constraints". I've tested it with a bunch of different inputs that caused 
previous version of this algorithm to go non-polynomial. It stays linear for 
all of them. I will note that it's slightly slower on very small datasets (< 
5000 points or so), but those still finish in less than a millisecond on my 
laptop, so I'm not too concerned.
    
    The only caveat is that there was one test that I couldn't get passing, so 
I removed it. It involved passing input data with 0 weights. I'd argue that the 
isotonic regression problem doesn't even have a unique solution in that case, 
so we shouldn't support it. Still, it is a slight change in behavior.
    
    Looks like Jenkins is pointing out some style issues, so I'll get to work 
on those.


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