huaxingao commented on a change in pull request #26415: [SPARK-18409][ML] LSH 
approxNearestNeighbors should use approxQuantile instead of sort
URL: https://github.com/apache/spark/pull/26415#discussion_r347149047
 
 

 ##########
 File path: mllib/src/main/scala/org/apache/spark/ml/feature/LSH.scala
 ##########
 @@ -137,14 +139,23 @@ private[ml] abstract class LSHModel[T <: LSHModel[T]]
       val hashDistUDF = udf((x: Seq[Vector]) => hashDistance(x, keyHash), 
DataTypes.DoubleType)
       val hashDistCol = hashDistUDF(col($(outputCol)))
 
-      // Compute threshold to get exact k elements.
-      // TODO: SPARK-18409: Use approxQuantile to get the threshold
-      val modelDatasetSortedByHash = 
modelDataset.sort(hashDistCol).limit(numNearestNeighbors)
-      val thresholdDataset = modelDatasetSortedByHash.select(max(hashDistCol))
-      val hashThreshold = thresholdDataset.take(1).head.getDouble(0)
-
-      // Filter the dataset where the hash value is less than the threshold.
-      modelDataset.filter(hashDistCol <= hashThreshold)
+      val modelDatasetWithDist = modelDataset.withColumn(distCol, hashDistCol)
+      var filtered: DataFrame = null
+      var requestedNum = numNearestNeighbors
+      do {
+        requestedNum *= 2
+        if (requestedNum > modelDataset.count()) {
+          requestedNum = modelDataset.count().toInt
+        }
+        var quantile = requestedNum.toDouble / modelDataset.count()
+        var hashThreshold = modelDatasetWithDist.stat
+          .approxQuantile(distCol, Array(quantile), 0.001)
+
+        // Filter the dataset where the hash value is less than the threshold.
+        filtered = modelDatasetWithDist.filter(hashDistCol <= hashThreshold(0))
 
 Review comment:
   I take back my last sentence. We should double the quantile to make it safer.

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