zhengruifeng 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_r360766075
 
 

 ##########
 File path: mllib/src/main/scala/org/apache/spark/ml/feature/LSH.scala
 ##########
 @@ -138,24 +138,59 @@ 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
+
+      val spark = dataset.sparkSession
+      import spark.implicits._
+
+      if (numNearestNeighbors < 1000) {
+        val r = Random.nextInt
+        val distColIdx = 
modelDatasetWithDist.schema.fieldNames.indexOf(distCol)
+        val rows = modelDatasetWithDist
+          .rdd
+          .map { row =>
+            val dist = row.getDouble(distColIdx)
+            (r, (dist, row))
+          }.aggregateByKey(new BoundedPriorityQueue[(Double, 
Row)](numNearestNeighbors)(
+            Ordering.by[(Double, Row), Double](_._1).reverse))(
+            seqOp = (c, v) => c += v,
+            combOp = (c1, c2) => c1 ++= c2
+          ).flatMap { case (_, c) => c.iterator.map(_._2) }
+        spark.createDataFrame(rows, modelDatasetWithDist.schema)
 
 Review comment:
   The log of both methods in testsuites:
   `approxQuantile/QuantileSummaries`:
   numNearestNeighbors=100, modelSubset.size=231, threshold=0.0
   
   topK
   numNearestNeighbors=100, modelSubset.size=100, threshold=0.0

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