Github user freeman-lab commented on a diff in the pull request:

    https://github.com/apache/spark/pull/5267#discussion_r32356016
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/clustering/HierarchicalClustering.scala
 ---
    @@ -0,0 +1,631 @@
    +/*
    + * Licensed to the Apache Software Foundation (ASF) under one or more
    + * contributor license agreements.  See the NOTICE file distributed with
    + * this work for additional information regarding copyright ownership.
    + * The ASF licenses this file to You under the Apache License, Version 2.0
    + * (the "License"); you may not use this file except in compliance with
    + * the License.  You may obtain a copy of the License at
    + *
    + *    http://www.apache.org/licenses/LICENSE-2.0
    + *
    + * Unless required by applicable law or agreed to in writing, software
    + * distributed under the License is distributed on an "AS IS" BASIS,
    + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    + * See the License for the specific language governing permissions and
    + * limitations under the License.
    + */
    +
    +package org.apache.spark.mllib.clustering
    +
    +import breeze.linalg.{DenseVector => BDV, SparseVector => BSV, Vector => 
BV, norm => breezeNorm}
    +import org.apache.spark.mllib.linalg.{Vector, Vectors}
    +import org.apache.spark.rdd.RDD
    +import org.apache.spark.util.random.XORShiftRandom
    +import org.apache.spark.{Logging, SparkException}
    +
    +import scala.collection.{Map, mutable}
    +
    +
    +object HierarchicalClustering extends Logging {
    +
    +  private[clustering] val ROOT_INDEX_KEY: Long = 1
    +
    +  /**
    +   * Finds the closes cluster's center
    +   *
    +   * @param metric a distance metric
    +   * @param centers centers of the clusters
    +   * @param point a target point
    +   * @return an index of the array of clusters
    +   */
    +  private[mllib]
    +  def findClosestCenter(metric: Function2[BV[Double], BV[Double], Double])
    +        (centers: Seq[BV[Double]])(point: BV[Double]): Int = {
    +    val (closestCenter, closestIndex) =
    +      centers.zipWithIndex.map { case (center, idx) => (metric(center, 
point), idx)}.minBy(_._1)
    +    closestIndex
    +  }
    +}
    +
    +/**
    + * This is a divisive hierarchical clustering algorithm based on bi-sect 
k-means algorithm.
    + *
    + * The main idea of this algorithm is based on "A comparison of document 
clustering techniques",
    + * M. Steinbach, G. Karypis and V. Kumar. Workshop on Text Mining, KDD, 
2000.
    + * http://cs.fit.edu/~pkc/classes/ml-internet/papers/steinbach00tr.pdf
    + *
    + * @param numClusters tne number of clusters you want
    + * @param clusterMap the pairs of cluster and its index as Map
    + * @param maxIterations the number of maximal iterations
    + * @param maxRetries the number of maximum retries
    + * @param seed a random seed
    + */
    +class HierarchicalClustering private (
    +  private var numClusters: Int,
    +  private var clusterMap: Map[Long, ClusterTree],
    +  private var maxIterations: Int,
    +  private var maxRetries: Int,
    +  private var seed: Long) extends Logging {
    +
    +  /**
    +   * Constructs with the default configuration
    +   */
    +  def this() = this(20, mutable.ListMap.empty[Long, ClusterTree], 20, 10, 
1)
    +
    +  /**
    +   * Sets the number of clusters you want
    +   */
    +  def setNumClusters(numClusters: Int): this.type = {
    +    this.numClusters = numClusters
    +    this
    +  }
    +
    +  def getNumClusters: Int = this.numClusters
    +
    +  /**
    +   * Sets the number of maximal iterations in each clustering step
    +   */
    +  def setMaxIterations(maxIterations: Int): this.type = {
    +    this.maxIterations = maxIterations
    +    this
    +  }
    +
    +  def getMaxIterations: Int = this.maxIterations
    +
    +  /**
    +   * Sets the number of maximum retries of each clustering step
    +   */
    +  def setMaxRetries(maxRetries: Int): this.type = {
    +    this.maxRetries = maxRetries
    +    this
    +  }
    +
    +  def getMaxRetries: Int = this.maxRetries
    +
    +  /**
    +   * Sets the random seed
    +   */
    +  def setSeed(seed: Long): this.type = {
    +    this.seed = seed
    +    this
    +  }
    +
    +  def getSeed: Long = this.seed
    +
    +  /**
    +   * Runs the hierarchical clustering algorithm
    +   * @param input RDD of vectors
    +   * @return model for the hierarchical clustering
    +   */
    +  def run(input: RDD[Vector]): HierarchicalClusteringModel = {
    +    val sc = input.sparkContext
    +    log.info(s"${sc.appName} starts a hierarchical clustering algorithm")
    +
    +    var data = initData(input).cache()
    +    val startTime = System.currentTimeMillis()
    +
    +    // `clusters` is described as binary tree structure
    +    // `clusters(1)` means the root of a binary tree
    +    var clusters = summarizeAsClusters(data)
    +    var leafClusters = clusters
    +    var step = 1
    +    var numDividedClusters = 0
    +    var noMoreDividable = false
    +    var rddArray = Array.empty[RDD[(Long, BV[Double])]]
    +    // the number of maximum nodes of a binary tree by given parameter
    +    val multiplier = math.ceil(math.log10(this.numClusters) / 
math.log10(2.0)) + 1
    +    val maxAllNodesInTree = math.pow(2, multiplier).toInt
    +
    +    while (clusters.size < maxAllNodesInTree && noMoreDividable == false) {
    +      log.info(s"${sc.appName} starts step ${step}")
    +
    +      // enough to be clustered if the number of divided clusters is equal 
to 0
    +      val divided = getDividedClusters(data, leafClusters)
    +      if (divided.size == 0) {
    +        noMoreDividable = true
    +      }
    +      else {
    +        // update each index
    +        val newData = updateClusterIndex(data, divided).cache()
    +        rddArray = rddArray ++ Array(data)
    +        data = newData
    +
    +        // keep recent 2 cached RDDs in order to run more quickly
    +        if (rddArray.size > 1) {
    +          val head = rddArray.head
    +          head.unpersist()
    +          rddArray = rddArray.filterNot(_.hashCode() == head.hashCode())
    +        }
    +
    +        // merge the divided clusters with the map as the cluster tree
    +        clusters = clusters ++ divided
    +        numDividedClusters = data.map(_._1).distinct().count().toInt
    +        leafClusters = divided
    +        step += 1
    +
    +        log.info(s"${sc.appName} adding ${divided.size} new clusters at 
step:${step}")
    +      }
    +    }
    +    // unpersist kept RDDs
    +    rddArray.foreach(_.unpersist())
    +
    +    // build a cluster tree by Map class which is expressed
    --- End diff --
    
    what does `which is expressed` mean here?


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