/*********************************************************************************************************************** * * Copyright (C) 2010-2013 by the Stratosphere project (http://stratosphere.eu) * * Licensed 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 eu.stratosphere.example.java.clustering; import java.io.Serializable; import java.util.Collection; import eu.stratosphere.api.java.DataSet; import eu.stratosphere.api.java.ExecutionEnvironment; import eu.stratosphere.api.java.IterativeDataSet; import eu.stratosphere.api.java.functions.MapFunction; import eu.stratosphere.api.java.functions.ReduceFunction; import eu.stratosphere.api.java.tuple.Tuple2; import eu.stratosphere.api.java.tuple.Tuple3; import eu.stratosphere.configuration.Configuration; import eu.stratosphere.example.java.clustering.util.KMeansData; /** * This example implements a basic K-Means clustering algorithm. * * <p> * K-Means is an iterative clustering algorithm and works as follows:<br> * K-Means is given a set of data points to be clustered and an initial set of <i>K</i> cluster centers. * In each iteration, the algorithm computes the distance of each data point to each cluster center. * Each point is assigned to the cluster center which is closest to it. * Subsequently, each cluster center is moved to the center (<i>mean</i>) of all points that have been assigned to it. * The moved cluster centers are fed into the next iteration. * The algorithm terminates after a fixed number of iterations (as in this implementation) * or if cluster centers do not (significantly) move in an iteration.<br> * This is the Wikipedia entry for the <a href="http://en.wikipedia.org/wiki/K-means_clustering">K-Means Clustering algorithm</a>. * * <p> * This implementation works on two-dimensional data points. <br> * It computes an assignment of data points to cluster centers, i.e., * each data point is annotated with the id of the final cluster (center) it belongs to. * * <p> * Input files are plain text files and must be formatted as follows: * <ul> * <li>Data points are represented as two double values separated by a blank character. * Data points are separated by newline characters.<br> * For example <code>"1.2 2.3\n5.3 7.2\n"</code> gives two data points (x=1.2, y=2.3) and (x=5.3, y=7.2). * <li>Cluster centers are represented by an integer id and a point value.<br> * For example <code>"1 6.2 3.2\n2 2.9 5.7\n"</code> gives two centers (id=1, x=6.2, y=3.2) and (id=2, x=2.9, y=5.7). * </ul> * * <p> * Usage: <code>KMeans <points path> <centers path> <result path> <num iterations></code><br> * If no parameters are provided, the program is run with default data from {@link KMeansData} and 10 iterations. * * <p> * This example shows how to use: * <ul> * <li>Bulk iterations * <li>Broadcast variables in bulk iterations * <li>Custom Java objects (PoJos) * </ul> */ @SuppressWarnings("serial") public class KMeans { // ************************************************************************* // PROGRAM // ************************************************************************* public static void main(String[] args) throws Exception { if(!parseParameters(args)) { return; } // set up execution environment ExecutionEnvironment env = ExecutionEnvironment.getExecutionEnvironment(); // get input data DataSet<Point> points = getPointDataSet(env); DataSet<Centroid> centroids = getCentroidDataSet(env); // set number of bulk iterations for KMeans algorithm IterativeDataSet<Centroid> loop = centroids.iterate(numIterations); DataSet<Centroid> newCentroids = points // compute closest centroid for each point .map(new SelectNearestCenter()).withBroadcastSet(loop, "centroids") // count and sum point coordinates for each centroid .map(new CountAppender()) .groupBy(0).reduce(new CentroidAccumulator()) // compute new centroids from point counts and coordinate sums .map(new CentroidAverager()); // feed new centroids back into next iteration DataSet<Centroid> finalCentroids = loop.closeWith(newCentroids); DataSet<Tuple2<Integer, Point>> clusteredPoints = points // assign points to final clusters .map(new SelectNearestCenter()).withBroadcastSet(finalCentroids, "centroids"); // emit result if(fileOutput) { clusteredPoints.writeAsCsv(outputPath, "\n", " "); } else { clusteredPoints.print(); } // execute program env.execute("KMeans Example"); } // ************************************************************************* // DATA TYPES // ************************************************************************* /** * A simple two-dimensional point. */ public static class Point implements Serializable { public double x, y; public Point() {} public Point(double x, double y) { this.x = x; this.y = y; } public Point add(Point other) { x += other.x; y += other.y; return this; } public Point div(long val) { x /= val; y /= val; return this; } public double euclideanDistance(Point other) { return Math.sqrt((x-other.x)*(x-other.x) + (y-other.y)*(y-other.y)); } public void clear() { x = y = 0.0; } @Override public String toString() { return x + " " + y; } } /** * A simple two-dimensional centroid, basically a point with an ID. */ public static class Centroid extends Point { public int id; public Centroid() {} public Centroid(int id, double x, double y) { super(x,y); this.id = id; } public Centroid(int id, Point p) { super(p.x, p.y); this.id = id; } @Override public String toString() { return id + " " + super.toString(); } } // ************************************************************************* // USER FUNCTIONS // ************************************************************************* /** Converts a Tuple2<Double,Double> into a Point. */ public static final class TuplePointConverter extends MapFunction<Tuple2<Double, Double>, Point> { @Override public Point map(Tuple2<Double, Double> t) throws Exception { return new Point(t.f0, t.f1); } } /** Converts a Tuple3<Integer, Double,Double> into a Centroid. */ public static final class TupleCentroidConverter extends MapFunction<Tuple3<Integer, Double, Double>, Centroid> { @Override public Centroid map(Tuple3<Integer, Double, Double> t) throws Exception { return new Centroid(t.f0, t.f1, t.f2); } } /** Determines the closest cluster center for a data point. */ public static final class SelectNearestCenter extends MapFunction<Point, Tuple2<Integer, Point>> { private Collection<Centroid> centroids; /** Reads the centroid values from a broadcast variable into a collection. */ @Override public void open(Configuration parameters) throws Exception { this.centroids = getRuntimeContext().getBroadcastVariable("centroids"); } @Override public Tuple2<Integer, Point> map(Point p) throws Exception { double minDistance = Double.MAX_VALUE; int closestCentroidId = -1; // check all cluster centers for (Centroid centroid : centroids) { // compute distance double distance = p.euclideanDistance(centroid); // update nearest cluster if necessary if (distance < minDistance) { minDistance = distance; closestCentroidId = centroid.id; } } // emit a new record with the center id and the data point. return new Tuple2<Integer, Point>(closestCentroidId, p); } } /** Appends a count variable to the tuple. */ public static final class CountAppender extends MapFunction<Tuple2<Integer, Point>, Tuple3<Integer, Point, Long>> { @Override public Tuple3<Integer, Point, Long> map(Tuple2<Integer, Point> t) { return new Tuple3<Integer, Point, Long>(t.f0, t.f1, 1L); } } /** Sums and counts point coordinates. */ public static final class CentroidAccumulator extends ReduceFunction<Tuple3<Integer, Point, Long>> { @Override public Tuple3<Integer, Point, Long> reduce(Tuple3<Integer, Point, Long> val1, Tuple3<Integer, Point, Long> val2) { return new Tuple3<Integer, Point, Long>(val1.f0, val1.f1.add(val2.f1), val1.f2 + val2.f2); } } /** Computes new centroid from coordinate sum and count of points. */ public static final class CentroidAverager extends MapFunction<Tuple3<Integer, Point, Long>, Centroid> { @Override public Centroid map(Tuple3<Integer, Point, Long> value) { return new Centroid(value.f0, value.f1.div(value.f2)); } } // ************************************************************************* // UTIL METHODS // ************************************************************************* private static boolean fileOutput = false; private static String pointsPath = null; private static String centersPath = null; private static String outputPath = null; private static int numIterations = 10; private static boolean parseParameters(String[] programArguments) { if(programArguments.length > 0) { // parse input arguments fileOutput = true; if(programArguments.length == 4) { pointsPath = programArguments[0]; centersPath = programArguments[1]; outputPath = programArguments[2]; numIterations = Integer.parseInt(programArguments[3]); } else { System.err.println("Usage: KMeans <points path> <centers path> <result path> <num iterations>"); return false; } } else { System.out.println("Executing K-Means example with default parameters and built-in default data."); System.out.println(" Provide parameters to read input data from files."); System.out.println(" See the documentation for the correct format of input files."); System.out.println(" We provide a data generator to create synthetic input files for this program."); System.out.println(" Usage: KMeans <points path> <centers path> <result path> <num iterations>"); } return true; } private static DataSet<Point> getPointDataSet(ExecutionEnvironment env) { if(fileOutput) { // read points from CSV file return env.readCsvFile(pointsPath) .fieldDelimiter(' ') .includeFields(true, true) .types(Double.class, Double.class) .map(new TuplePointConverter()); } else { return KMeansData.getDefaultPointDataSet(env); } } private static DataSet<Centroid> getCentroidDataSet(ExecutionEnvironment env) { if(fileOutput) { return env.readCsvFile(centersPath) .fieldDelimiter(' ') .includeFields(true, true, true) .types(Integer.class, Double.class, Double.class) .map(new TupleCentroidConverter()); } else { return KMeansData.getDefaultCentroidDataSet(env); } } }