viirya 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_r343276447
 
 

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 File path: mllib/src/main/scala/org/apache/spark/ml/feature/LSH.scala
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 @@ -138,13 +143,13 @@ private[ml] abstract class LSHModel[T <: LSHModel[T]]
       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)
+      val quantile = numNearestNeighbors.toDouble / modelDataset.count()
+      val modelDatasetWithDist = modelDataset.withColumn(distCol, 
hashDistUDF(col($(outputCol))))
+      val hashThreshold = modelDatasetWithDist.stat
+        .approxQuantile(distCol, Array(quantile), $(relativeError))
 
       // Filter the dataset where the hash value is less than the threshold.
-      modelDataset.filter(hashDistCol <= hashThreshold)
+      modelDatasetWithDist.filter(hashDistCol <= hashThreshold(0))
 
 Review comment:
   since the threshold is approximate, we still need to put a limit here to 
return no more `numNearestNeighbors` items. 

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