zhengruifeng commented on a change in pull request #26858: [SPARK-30120][ML] 
Use BoundedPriorityQueue for small dataset in LSH approxNearestNeighbors
URL: https://github.com/apache/spark/pull/26858#discussion_r358620083
 
 

 ##########
 File path: mllib/src/main/scala/org/apache/spark/ml/feature/LSH.scala
 ##########
 @@ -138,21 +139,31 @@ 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
+      // for a small dataset, use BoundedPriorityQueue
+      if (count < 1000) {
+        val queue = new 
BoundedPriorityQueue[Double](count.toInt)(Ordering[Double])
 
 Review comment:
   I wrongly thought that the `approxNearestNeighbors` only return an 
approximate threshold, then we can use top-k to obtain an exact threshold.
   Since the `approxNearestNeighbors` already gaurantee an enough threshold 
which had already taken the relative error into account, so **I guess we no 
longer need a top-k solution.**
   A  `BoundedPriorityQueue` only maintains the topK entries, so it should be 
much smaller than a `QuantileSummaries`, however since there is only one column 
to process, so there should be no performance gain.
   

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