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https://issues.apache.org/jira/browse/FLINK-2131?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15537379#comment-15537379
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ASF GitHub Bot commented on FLINK-2131:
---------------------------------------

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

    https://github.com/apache/flink/pull/757#discussion_r81433030
  
    --- Diff: 
flink-staging/flink-ml/src/main/scala/org/apache/flink/ml/clustering/KMeans.scala
 ---
    @@ -0,0 +1,614 @@
    +/*
    + * 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.clustering
    +
    +import org.apache.flink.api.common.functions.RichFilterFunction
    +import 
org.apache.flink.api.java.functions.FunctionAnnotation.ForwardedFields
    +import org.apache.flink.api.scala.{DataSet, _}
    +import org.apache.flink.configuration.Configuration
    +import org.apache.flink.ml._
    +import org.apache.flink.ml.common.FlinkMLTools.ModuloKeyPartitioner
    +import org.apache.flink.ml.common.{LabeledVector, _}
    +import org.apache.flink.ml.math.Breeze._
    +import org.apache.flink.ml.math.{BLAS, Vector}
    +import org.apache.flink.ml.metrics.distances.EuclideanDistanceMetric
    +import org.apache.flink.ml.pipeline._
    +
    +import scala.collection.JavaConverters._
    +import scala.util.Random
    +
    +
    +/**
    + * Implements the KMeans algorithm which calculates cluster centroids 
based on set of training data
    + * points and a set of k initial centroids.
    + *
    + * [[KMeans]] is a [[Predictor]] which needs to be trained on a set of 
data points and can then be
    + * used to assign new points to the learned cluster centroids.
    + *
    + * The KMeans algorithm works as described on Wikipedia
    + * (http://en.wikipedia.org/wiki/K-means_clustering):
    + *
    --- End diff --
    
    Add reference for kmeans|| too.  eg. Bahmani et al 
    Same for kmeans++.



> Add Initialization schemes for K-means clustering
> -------------------------------------------------
>
>                 Key: FLINK-2131
>                 URL: https://issues.apache.org/jira/browse/FLINK-2131
>             Project: Flink
>          Issue Type: Task
>          Components: Machine Learning Library
>            Reporter: Sachin Goel
>            Assignee: Sachin Goel
>
> The Lloyd's [KMeans] algorithm takes initial centroids as its input. However, 
> in case the user doesn't provide the initial centers, they may ask for a 
> particular initialization scheme to be followed. The most commonly used are 
> these:
> 1. Random initialization: Self-explanatory
> 2. kmeans++ initialization: http://ilpubs.stanford.edu:8090/778/1/2006-13.pdf
> 3. kmeans|| : http://theory.stanford.edu/~sergei/papers/vldb12-kmpar.pdf
> For very large data sets, or for large values of k, the kmeans|| method is 
> preferred as it provides the same approximation guarantees as kmeans++ and 
> requires lesser number of passes over the input data.



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