Github user mengxr commented on a diff in the pull request:

    https://github.com/apache/spark/pull/166#discussion_r10739905
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/optimization/GradientDescentWithLocalUpdate.scala
 ---
    @@ -0,0 +1,147 @@
    +/*
    + * 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.optimization
    +
    +import org.apache.spark.Logging
    +import org.apache.spark.rdd.RDD
    +
    +import org.jblas.DoubleMatrix
    +
    +import scala.collection.mutable.ArrayBuffer
    +import scala.util.Random
    +
    +/**
    + * Class used to solve an optimization problem using Gradient Descent.
    + * @param gradient Gradient function to be used.
    + * @param updater Updater to be used to update weights after every 
iteration.
    + */
    +class GradientDescentWithLocalUpdate(gradient: Gradient, updater: Updater)
    +  extends GradientDescent(gradient, updater) with Logging
    +{
    +  private var numLocalIterations: Int = 1
    +
    +  /**
    +   * Set the number of local iterations. Default 1.
    +   */
    +  def setNumLocalIterations(numLocalIter: Int): this.type = {
    +    this.numLocalIterations = numLocalIter
    +    this
    +  }
    +
    +  override def optimize(data: RDD[(Double, Array[Double])], 
initialWeights: Array[Double])
    +    : Array[Double] = {
    +
    +    val (weights, stochasticLossHistory) = 
GradientDescentWithLocalUpdate.runMiniBatchSGD(
    +        data,
    +        gradient,
    +        updater,
    +        stepSize,
    +        numIterations,
    +        numLocalIterations,
    +        regParam,
    +        miniBatchFraction,
    +        initialWeights)
    +    weights
    +  }
    +
    +}
    +
    +// Top-level method to run gradient descent.
    +object GradientDescentWithLocalUpdate extends Logging {
    +   /**
    +   * Run BSP+ gradient descent in parallel using mini batches.
    +   *
    +   * @param data - Input data for SGD. RDD of form (label, [feature 
values]).
    +   * @param gradient - Gradient object that will be used to compute the 
gradient.
    +   * @param updater - Updater object that will be used to update the model.
    +   * @param stepSize - stepSize to be used during update.
    +   * @param numOuterIterations - number of outer iterations that SGD 
should be run.
    +   * @param numInnerIterations - number of inner iterations that SGD 
should be run.
    +   * @param regParam - regularization parameter
    +   * @param miniBatchFraction - fraction of the input data set that should 
be used for
    +   *                            one iteration of SGD. Default value 1.0.
    +   *
    +   * @return A tuple containing two elements. The first element is a 
column matrix containing
    +   *         weights for every feature, and the second element is an array 
containing the stochastic
    +   *         loss computed for every iteration.
    +   */
    +  def runMiniBatchSGD(
    +      data: RDD[(Double, Array[Double])],
    +      gradient: Gradient,
    +      updater: Updater,
    +      stepSize: Double,
    +      numOuterIterations: Int,
    +      numInnerIterations: Int,
    +      regParam: Double,
    +      miniBatchFraction: Double,
    +      initialWeights: Array[Double]) : (Array[Double], Array[Double]) = {
    +
    +    val stochasticLossHistory = new ArrayBuffer[Double](numOuterIterations)
    +
    +    val numExamples: Long = data.count()
    +    val numPartition = data.partitions.length
    +    val miniBatchSize = numExamples * miniBatchFraction / numPartition
    +
    +    // Initialize weights as a column vector
    +    var weights = new DoubleMatrix(initialWeights.length, 1, 
initialWeights: _*)
    +    var regVal = 0.0
    +
    +    for (i <- 1 to numOuterIterations) {
    +      val weightsAndLosses = data.mapPartitions { iter =>
    +        var iterReserved = iter
    +        val localLossHistory = new ArrayBuffer[Double](numInnerIterations)
    +
    +        for (j <- 1 to numInnerIterations) {
    +          val (iterCurrent, iterNext) = iterReserved.duplicate
    --- End diff --
    
    @yinxusen I think this approach will certainly run OOM if data is too big 
to fit into memory. You can set a small executor memory and test some data 
without caching.


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