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

    https://github.com/apache/flink/pull/579#discussion_r28412522
  
    --- Diff: 
flink-staging/flink-ml/src/main/scala/org/apache/flink/ml/preprocessing/StandardScaler.scala
 ---
    @@ -0,0 +1,178 @@
    +/*
    + * 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.flink.ml.preprocessing
    +
    +import java.lang.Iterable
    +import breeze.linalg
    +import breeze.linalg.DenseVector
    +import breeze.numerics.sqrt
    +import breeze.numerics.sqrt._
    +import org.apache.flink.api.common.functions._
    +import org.apache.flink.api.scala._
    +import org.apache.flink.configuration.Configuration
    +import org.apache.flink.ml.common.{Parameter, ParameterMap, Transformer}
    +import org.apache.flink.ml.math.Breeze._
    +import org.apache.flink.ml.math.Vector
    +import org.apache.flink.ml.preprocessing.StandardScaler.{Mean, Std}
    +import org.apache.flink.util.Collector
    +
    +/** Scales observations, so that all features have mean equal to zero
    +  * and standard deviation equal to one
    +  *
    +  * This transformer takes a a Vector of values and maps it into the
    +  * scaled Vector that each feature has a user-specified mean and standard 
deviation.
    +  *
    +  * This transformer can be prepended to all [[Transformer]] and
    +  * [[org.apache.flink.ml.common.Learner]] implementations which expect an 
input of
    +  * [[Vector]].
    +  *
    +  * @example
    +  * {{{
    +  *                              val trainingDS: DataSet[Vector] = 
env.fromCollection(data)
    +  *
    +  *                              val transformer = 
StandardScaler().setMean(10.0).setStd(2.0)
    +  *
    +  *                              transformer.transform(trainingDS)
    +  * }}}
    +  *
    +  * =Parameters=
    +  *
    +  * - [[StandardScaler.Mean]]: The mean value of transformed data set; by 
default equal to 0
    +  * - [[StandardScaler.Std]]: The standard deviation of the transformed 
data set; by default
    +  * equal to 1
    +  */
    +class StandardScaler extends Transformer[Vector, Vector] with Serializable 
{
    +
    +  def setMean(mu: Double): StandardScaler = {
    +    parameters.add(Mean, mu)
    +    this
    +  }
    +
    +  def setStd(std: Double): StandardScaler = {
    +    parameters.add(Std, std)
    +    this
    +  }
    +
    +  override def transform(input: DataSet[Vector], parameters: ParameterMap):
    +  DataSet[Vector] = {
    +    val resultingParameters = this.parameters ++ parameters
    +    val mean = resultingParameters(Mean)
    +    val std = resultingParameters(Std)
    +
    +    val featureMetrics = extractFeatureMetrics(input)
    +
    +    input.map(new RichMapFunction[Vector, Vector]() {
    +
    +      var broadcastMeanSet: Vector = null
    +      var broadcastStdSet: Vector = null
    +
    +      override def open(parameters: Configuration): Unit = {
    +        val broadcastedMetrics = 
getRuntimeContext().getBroadcastVariable[(Vector,
    +          Vector)]("broadcastedMetrics").get(0)
    +        broadcastMeanSet = broadcastedMetrics._1
    +        broadcastStdSet = broadcastedMetrics._2
    +      }
    +
    +      override def map(vector: Vector): Vector = {
    +        var myVector = vector.asBreeze
    +
    +        myVector :-= broadcastMeanSet.asBreeze
    +        myVector :/= broadcastStdSet.asBreeze
    +        myVector = (myVector :* std) :+ mean
    +        return myVector.fromBreeze
    +      }
    +    }).withBroadcastSet(featureMetrics, "broadcastedMetrics")
    +  }
    +
    +  /** Calculates in one pass over the data the features' mean and standard 
deviation.
    +    * For the calculation of the Standard deviation with one pas over the 
data,
    +    * the Youngs & Cramer algorithm was used
    --- End diff --
    
    Maybe we can put the link 
http://www.cs.yale.edu/publications/techreports/tr222.pdf here, too.


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