Github user jkbradley commented on a diff in the pull request:

    https://github.com/apache/spark/pull/12106#discussion_r58335017
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/clustering/LDAOptimizer.scala ---
    @@ -451,10 +451,10 @@ final class OnlineLDAOptimizer extends LDAOptimizer {
           }
           Iterator((stat, gammaPart))
         }
    -    val statsSum: BDM[Double] = stats.map(_._1).reduce(_ += _)
    +    val statsSum: BDM[Double] = stats.map(_._1).treeReduce(_ += _)
         expElogbetaBc.unpersist()
         val gammat: BDM[Double] = breeze.linalg.DenseMatrix.vertcat(
    -      stats.map(_._2).reduce(_ ++ _).map(_.toDenseMatrix): _*)
    +      stats.map(_._2).treeReduce(_ ++ _).map(_.toDenseMatrix): _*)
    --- End diff --
    
    aggregate would send stats.numPartitions elements back to the driver, 
whereas treeAggregate would send fewer (for large enough numPartitions), right?


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