/** * 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.mahout.cf.taste.impl.recommender.svd; import com.google.common.collect.Lists; import org.apache.mahout.cf.taste.common.TasteException; import org.apache.mahout.cf.taste.impl.common.FullRunningAverage; import org.apache.mahout.cf.taste.impl.common.LongPrimitiveIterator; import org.apache.mahout.cf.taste.impl.common.RunningAverage; import org.apache.mahout.cf.taste.model.DataModel; import org.apache.mahout.cf.taste.model.Preference; import org.apache.mahout.cf.taste.model.PreferenceArray; import org.apache.mahout.common.RandomUtils; import org.apache.mahout.math.DenseVector; import org.apache.mahout.math.Vector; import org.apache.mahout.math.als.AlternatingLeastSquaresSolver; import org.slf4j.Logger; import org.slf4j.LoggerFactory; import java.util.List; import java.util.Random; import java.util.concurrent.ExecutorService; import java.util.concurrent.Executors; import java.util.concurrent.TimeUnit; /** * factorizes the rating matrix using "Alternating-Least-Squares with Weighted-λ-Regularization" as described in * the paper * <a href="http://www.hpl.hp.com/personal/Robert_Schreiber/papers/2008%20AAIM%20Netflix/netflix_aaim08(submitted).pdf"> * "Large-scale Collaborative Filtering for the Netflix Prize"</a> */ public class ALSWRFactorizer extends AbstractFactorizer { private final DataModel dataModel; /** number of features used to compute this factorization */ private final int numFeatures; /** parameter to control the regularization */ private final double lambda; /** number of iterations */ private final int numIterations; private static final Logger log = LoggerFactory.getLogger(ALSWRFactorizer.class); public ALSWRFactorizer(DataModel dataModel, int numFeatures, double lambda, int numIterations) throws TasteException { super(dataModel); this.dataModel = dataModel; this.numFeatures = numFeatures; this.lambda = lambda; this.numIterations = numIterations; } static class Features { private final DataModel dataModel; private final int numFeatures; private final double[][] M; private final double[][] U; Features(ALSWRFactorizer factorizer) throws TasteException { dataModel = factorizer.dataModel; numFeatures = factorizer.numFeatures; Random random = RandomUtils.getRandom(); M = new double[dataModel.getNumItems()][numFeatures]; LongPrimitiveIterator itemIDsIterator = dataModel.getItemIDs(); while (itemIDsIterator.hasNext()) { long itemID = itemIDsIterator.nextLong(); int itemIDIndex = factorizer.itemIndex(itemID); M[itemIDIndex][0] = averateRating(itemID); for (int feature = 1; feature < numFeatures; feature++) { M[itemIDIndex][feature] = random.nextDouble() * 0.1; } } U = new double[dataModel.getNumUsers()][numFeatures]; } double[][] getM() { return M; } double[][] getU() { return U; } Vector getUserFeatureColumn(int index) { return new DenseVector(U[index]); } Vector getItemFeatureColumn(int index) { return new DenseVector(M[index]); } void setFeatureColumnInU(int idIndex, Vector vector) { setFeatureColumn(U, idIndex, vector); } void setFeatureColumnInM(int idIndex, Vector vector) { setFeatureColumn(M, idIndex, vector); } protected void setFeatureColumn(double[][] matrix, int idIndex, Vector vector) { for (int feature = 0; feature < numFeatures; feature++) { matrix[idIndex][feature] = vector.get(feature); } } protected double averateRating(long itemID) throws TasteException { PreferenceArray prefs = dataModel.getPreferencesForItem(itemID); RunningAverage avg = new FullRunningAverage(); for (Preference pref : prefs) { avg.addDatum(pref.getValue()); } return avg.getAverage(); } } @Override public Factorization factorize() throws TasteException { log.info("starting to compute the factorization..."); final AlternatingLeastSquaresSolver solver = new AlternatingLeastSquaresSolver(); final Features features = new Features(this); for (int iteration = 0; iteration < numIterations; iteration++) { log.info("iteration {}", iteration); /* fix M - compute U */ ExecutorService queue = createQueue(); LongPrimitiveIterator userIDsIterator = dataModel.getUserIDs(); try { while (userIDsIterator.hasNext()) { final long userID = userIDsIterator.nextLong(); final LongPrimitiveIterator itemIDsFromUser = dataModel.getItemIDsFromUser(userID).iterator(); final PreferenceArray userPrefs = dataModel.getPreferencesFromUser(userID); queue.execute(new Runnable() { @Override public void run() { List<Vector> featureVectors = Lists.newArrayList(); while (itemIDsFromUser.hasNext()) { long itemID = itemIDsFromUser.nextLong(); featureVectors.add(features.getItemFeatureColumn(itemIndex(itemID))); } Vector userFeatures = solver.solve(featureVectors, ratingVector(userPrefs), lambda, numFeatures); features.setFeatureColumnInU(userIndex(userID), userFeatures); } }); } } finally { queue.shutdown(); try { queue.awaitTermination(dataModel.getNumUsers(), TimeUnit.SECONDS); } catch (InterruptedException e) { log.warn("Error when computing user features", e); } } /* fix U - compute M */ queue = createQueue(); LongPrimitiveIterator itemIDsIterator = dataModel.getItemIDs(); try { while (itemIDsIterator.hasNext()) { final long itemID = itemIDsIterator.nextLong(); final PreferenceArray itemPrefs = dataModel.getPreferencesForItem(itemID); queue.execute(new Runnable() { @Override public void run() { List<Vector> featureVectors = Lists.newArrayList(); for (Preference pref : itemPrefs) { long userID = pref.getUserID(); featureVectors.add(features.getUserFeatureColumn(userIndex(userID))); } Vector itemFeatures = solver.solve(featureVectors, ratingVector(itemPrefs), lambda, numFeatures); features.setFeatureColumnInM(itemIndex(itemID), itemFeatures); } }); } } finally { queue.shutdown(); try { queue.awaitTermination(dataModel.getNumItems(), TimeUnit.SECONDS); } catch (InterruptedException e) { log.warn("Error when computing item features", e); } } } log.info("finished computation of the factorization..."); return createFactorization(features.getU(), features.getM()); } protected ExecutorService createQueue() { return Executors.newFixedThreadPool(Runtime.getRuntime().availableProcessors()); } protected Vector ratingVector(PreferenceArray prefs) { double[] ratings = new double[prefs.length()]; for (int n = 0; n < prefs.length(); n++) { ratings[n] = prefs.get(n).getValue(); } return new DenseVector(ratings); } }