srowen commented on a change in pull request #26948: [SPARK-30120][ML] LSH 
approxNearestNeighbors should use BoundedPriorityQueue when numNearestNeighbors 
is small
URL: https://github.com/apache/spark/pull/26948#discussion_r360402434
 
 

 ##########
 File path: mllib/src/main/scala/org/apache/spark/ml/feature/LSH.scala
 ##########
 @@ -138,21 +137,37 @@ private[ml] abstract class LSHModel[T <: LSHModel[T]]
       // Limit the use of hashDist since it's controversial
       val hashDistUDF = udf((x: Seq[Vector]) => hashDistance(x, keyHash), 
DataTypes.DoubleType)
       val hashDistCol = hashDistUDF(col($(outputCol)))
-
-      // Compute threshold to get around k elements.
-      // To guarantee to have enough neighbors in one pass, we need (p - err) 
* N >= M
-      // so we pick quantile p = M / N + err
-      // M: the number of nearest neighbors; N: the number of elements in 
dataset
-      val relativeError = 0.05
-      val approxQuantile = numNearestNeighbors.toDouble / count + relativeError
       val modelDatasetWithDist = modelDataset.withColumn(distCol, hashDistCol)
-      if (approxQuantile >= 1) {
-        modelDatasetWithDist
+
+      if (numNearestNeighbors < 1000) {
 
 Review comment:
   Hm, why would we predicate this on numNearestNeighbors? I'm not clear why a 
priority queue helps particularly when this is small, vs a quantile; both are 
doing something kinda similar. I'd expect one or the other to be consistently 
faster or slower. I also generally imagine this argument will be smallish, so, 
if this approach is good for < 1000, and not bad for 10000 or something, just 
use the queue?
   
   I understood when the idea was to collect() small data sets and just pick 
directly the top k.

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