package ca.pfv.spmf.algorithms.sequentialpatterns.BIDE_and_prefixspan; import java.io.BufferedWriter; import java.io.FileWriter; import java.io.IOException; import java.util.ArrayList; import java.util.HashMap; import java.util.HashSet; import java.util.List; import java.util.Map; import java.util.Map.Entry; import java.util.Set; import ca.pfv.spmf.input.sequence_database_list_integers.Sequence; import ca.pfv.spmf.input.sequence_database_list_integers.SequenceDatabase; import ca.pfv.spmf.patterns.itemset_list_integers_without_support.Itemset; import ca.pfv.spmf.tools.MemoryLogger; /*** * This is an implementation of the PrefixSpan algorithm. * PrefixSpan was proposed by Pei et al. 2001. * * NOTE: This implementation saves the pattern to a file as soon * as they are found or can keep the pattern into memory, depending * on what the user choose. * * Copyright (c) 2008-2012 Philippe Fournier-Viger * * This file is part of the SPMF DATA MINING SOFTWARE * (http://www.philippe-fournier-viger.com/spmf). * * SPMF is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * SPMF is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with SPMF. If not, see <http://www.gnu.org/licenses/>. */ public class AlgoPrefixSpan{ // for statistics long startTime; long endTime; // the number of pattern found int patternCount; // absolute minimum support private int minsuppAbsolute; // writer to write output file BufferedWriter writer = null; // The sequential patterns that are found // (if the user want to keep them into memory) private SequentialPatterns patterns = null; // maximum pattern length in terms of item count private int maximumPatternLength = Integer.MAX_VALUE; /** if true, sequence identifiers of each pattern will be shown*/ boolean showSequenceIdentifiers = false; /** * Default constructor */ public AlgoPrefixSpan(){ } /** * Run the algorithm * @param database : a sequence database * @param minsupRelative : the minimum support as a percentage (e.g. 50%) as a value in [0,1] * @param outputFilePath : the path of the output file to save the result * or null if you want the result to be saved into memory * @return return the result, if saved into memory, otherwise null * @throws IOException exception if error while writing the file */ public SequentialPatterns runAlgorithm(SequenceDatabase database, double minsupRelative, String outputFilePath) throws IOException { // convert to a absolute minimum support this.minsuppAbsolute = (int) Math.ceil(minsupRelative * database.size()); if(this.minsuppAbsolute == 0){ // protection this.minsuppAbsolute = 1; } // record start time startTime = System.currentTimeMillis(); // run the algorithm prefixSpan(database, outputFilePath); // record end time endTime = System.currentTimeMillis(); // close the output file if the result was saved to a file if(writer != null){ writer.close(); } return patterns; } /** * Run the algorithm * @param database : a sequence database * @param minsupPercent : the minimum support as an integer * @param outputFilePath : the path of the output file to save the result * or null if you want the result to be saved into memory * @return return the result, if saved into memory, otherwise null * @throws IOException exception if error while writing the file */ public SequentialPatterns runAlgorithm(SequenceDatabase database, String outputFilePath, int minsup) throws IOException { // initialize variables for statistics patternCount =0; MemoryLogger.getInstance().reset(); // save the minsup chosen by the user this.minsuppAbsolute = minsup; // save the start time startTime = System.currentTimeMillis(); // run the algorithm prefixSpan(database, outputFilePath); // save the end time endTime = System.currentTimeMillis(); // close the output file if the result was saved to a file if(writer != null){ writer.close(); } return patterns; } /** * This is the main method for the PrefixSpan algorithm that is called * to start the algorithm * @param outputFilePath an output file path if the result should be saved to a file * or null if the result should be saved to memory. * @param database a sequence database * @throws IOException exception if an error while writing the output file */ private void prefixSpan(SequenceDatabase database, String outputFilePath) throws IOException{ // if the user want to keep the result into memory if(outputFilePath == null){ writer = null; patterns = new SequentialPatterns("FREQUENT SEQUENTIAL PATTERNS"); }else{ // if the user want to save the result to a file patterns = null; writer = new BufferedWriter(new FileWriter(outputFilePath)); } // We have to scan the database to find all frequent sequential patterns of size 1. // We note the sequences in which the items appear. Map<Integer, Set<Integer>> mapSequenceID = findSequencesContainingItems(database); // WE CONVERT THE DATABASE ITON A PSEUDO-DATABASE, AND REMOVE // THE ITEMS OF SIZE 1 THAT ARE NOT FREQUENT, SO THAT THE ALGORITHM // WILL NOT CONSIDER THEM ANYMORE. // Create a list of pseudosequence List<PseudoSequence> initialDatabase = new ArrayList<PseudoSequence>(); // for each sequence in the database for(Sequence sequence : database.getSequences()){ // remove infrequent items Sequence optimizedSequence = sequence.cloneSequenceMinusItems(mapSequenceID, minsuppAbsolute); if(optimizedSequence.size() != 0){ // if the size is > 0, create a pseudo sequence with this sequence initialDatabase.add(new PseudoSequence(optimizedSequence, 0, 0)); } } // For each item for(Entry<Integer, Set<Integer>> entry : mapSequenceID.entrySet()){ // if the item is frequent (has a support >= minsup) if(entry.getValue().size() >= minsuppAbsolute){ Integer item = entry.getKey(); // Create the prefix for this projected database SequentialPattern prefix = new SequentialPattern(); prefix.addItemset(new Itemset(item)); prefix.setSequenceIDs(entry.getValue()); // The prefix is a frequent sequential pattern. // We save it in the result. savePattern(prefix); // build the projected database for that item List<PseudoSequence> projectedContext = buildProjectedDatabaseForSingleItem(item, initialDatabase, entry.getValue()); // We make a recursive call to try to find larger sequential // patterns starting with this prefix if(maximumPatternLength >1){ recursion(prefix, projectedContext, 2); } } } } /** * This method saves a sequential pattern to the output file or * in memory, depending on if the user provided an output file path or not * when he launched the algorithm * @param prefix the pattern to be saved. * @throws IOException exception if error while writing the output file. */ private void savePattern(SequentialPattern prefix) throws IOException { // increase the number of pattern found for statistics purposes patternCount++; // if the result should be saved to a file if(writer != null){ // create a StringBuilder StringBuilder r = new StringBuilder(""); // for each itemset in this sequential pattern for(Itemset itemset : prefix.getItemsets()){ // for each item for(Integer item : itemset.getItems()){ r.append(item.toString()); // add the item r.append(' '); } r.append("-1 "); // add the itemset separator } // add the support r.append("#SUP: "); r.append(prefix.getAbsoluteSupport()); if(showSequenceIdentifiers) { r.append(" #SID: "); for (Integer sid: prefix.getSequenceIDs()) { r.append(sid); r.append(" "); } } // write the string to the file writer.write(r.toString()); // start a new line writer.newLine(); } // otherwise the result is kept into memory else{ patterns.addSequence(prefix, prefix.size()); } } /** * For each item, calculate the sequence id of sequences containing that item * @param database the current sequence database * @return Map of items to sequence IDs that contains each item */ private Map<Integer, Set<Integer>> findSequencesContainingItems(SequenceDatabase database) { // We use a map to store the sequence IDs where an item appear // Key : item Value : a set of sequence IDs Map<Integer, Set<Integer>> mapSequenceID = new HashMap<Integer, Set<Integer>>(); // for each sequence in the current database for(Sequence sequence : database.getSequences()){ // for each itemset in this sequence for(List<Integer> itemset : sequence.getItemsets()){ // for each item for(Integer item : itemset){ // get the set of sequence IDs for this item until now Set<Integer> sequenceIDs = mapSequenceID.get(item); if(sequenceIDs == null){ // if the set does not exist, create one sequenceIDs = new HashSet<Integer>(); mapSequenceID.put(item, sequenceIDs); } // add the sequence ID of the current sequence to the // set of sequences IDs of this item sequenceIDs.add(sequence.getId()); } } } return mapSequenceID; } /** * Create a projected database by pseudo-projection with the initial database and a given item. * @param item The item to use to make the pseudo-projection * @param initialDatabase The current database. * @param sidSet The set of sequence ids containing the item * @return the projected database. */ private List<PseudoSequence> buildProjectedDatabaseForSingleItem(Integer item, List<PseudoSequence> initialDatabase,Set<Integer> sidSet) { // We create a new projected database List<PseudoSequence> sequenceDatabase = new ArrayList<PseudoSequence>(); // for each sequence in the database received as parameter loopSeq:for(PseudoSequence sequence : initialDatabase){ // if this sequence do not contain the current prefix, then skip it. if(!sidSet.contains(sequence.getId())){ continue; } // for each itemset of the sequence for(int i = 0; i< sequence.size(); i++){ // check if the itemset contains the item that is used for the projection int index = sequence.indexOfBis(i, item); // if it does not, and the current item is part of a suffix if inSuffix is true // and vice-versa if(index == -1 ){ continue; } // if the item is the last item of this itemset if(index == sequence.getSizeOfItemsetAt(i)-1){ // if it is not the last itemset if ((i != sequence.size()-1)){ // create new pseudo sequence // add it to the projected database. sequenceDatabase.add(new PseudoSequence( sequence, i+1, 0)); } }else{ // create a new pseudo sequence and // add it to the projected database. sequenceDatabase.add(new PseudoSequence(sequence, i, index+1)); } } } // // for(PseudoSequence seq : sequenceDatabase){ // System.out.println(seq); // System.out.println("original seq: " + seq.sequence); // } // return sequenceDatabase; // return the projected database } /** * Create a projected database by pseudo-projection * @param item The item to use to make the pseudo-projection * @param database The current sequence database. * @param inPostFix This boolean indicates if the item "item" is part of a suffix or not. * @param sidset the set of sequence IDs of sequence containing this item * @return the projected database. */ private List<PseudoSequence> buildProjectedDatabase(Integer item, List<PseudoSequence> database, Set<Integer> sidset, boolean inPostFix) { // We create a new projected database List<PseudoSequence> sequenceDatabase = new ArrayList<PseudoSequence>(); // for each sequence in the database received as parameter for(PseudoSequence sequence : database){ if(sidset.contains(sequence.getId()) == false){ continue; } // for each itemset of the sequence for(int i = 0; i< sequence.size(); i++){ if (sequence.isPostfix(i) != inPostFix){ // if the item is not in a postfix, but this itemset // is a postfix, then we can continue scanning from the next itemset continue; } // check if the itemset contains the item that we use for the projection int index = sequence.indexOfBis(i, item); // if it does not, move to next itemset if(index == -1 ){ continue; } // if the item is the last item of this itemset if(index == sequence.getSizeOfItemsetAt(i)-1){ // if it is not the last itemset if ((i != sequence.size()-1)){ // create new pseudo sequence // add it to the projected database. sequenceDatabase.add(new PseudoSequence( sequence, i+1, 0)); //System.out.println(sequence.getId() + "--> "+ newSequence.toString()); // break itemsetLoop; } }else{ // create a new pseudo sequence and // add it to the projected database. sequenceDatabase.add(new PseudoSequence(sequence, i, index+1)); //System.out.println(sequence.getId() + "--> "+ newSequence.toString()); // break itemsetLoop; } } } return sequenceDatabase; // return the projected database } /** * Method to recursively grow a given sequential pattern. * @param prefix the current sequential pattern that we want to try to grow * @param database the current projected sequence database * @param k the prefix length in terms of items * @throws IOException exception if there is an error writing to the output file */ private void recursion(SequentialPattern prefix, List<PseudoSequence> database, int k) throws IOException { // find frequent items of size 1 in the current projected database. Set<Pair> pairs = findAllFrequentPairs(database); // For each pair found (a pair is an item with a boolean indicating if it // appears in an itemset that is cut (a postfix) or not, and the sequence IDs // where it appears in the projected database). for(Pair pair : pairs){ // if the item is frequent in the current projected database if(pair.getCount() >= minsuppAbsolute){ // create the new postfix by appending this item to the prefix SequentialPattern newPrefix; // if the item is part of a postfix if(pair.isPostfix()){ // we append it to the last itemset of the prefix newPrefix = appendItemToPrefixOfSequence(prefix, pair.getItem()); }else{ // else, we append it as a new itemset to the sequence newPrefix = appendItemToSequence(prefix, pair.getItem()); } newPrefix.setSequenceIDs(pair.getSequenceIDs()); // build the projected database with this item List<PseudoSequence> projectedDatabase = buildProjectedDatabase(pair.getItem(), database, pair.getSequenceIDs(), pair.isPostfix()); // save the pattern savePattern(newPrefix); // make a recursive call if( k < maximumPatternLength){ recursion(newPrefix, projectedDatabase, k+1); } } } // check the current memory usage MemoryLogger.getInstance().checkMemory(); } /** * Method to find all frequent items in a projected sequence database * @param sequences the set of sequences * @return A list of pairs, where a pair is an item with (1) a boolean indicating if it * is in an itemset that is "cut" and (2) the sequence IDs where it occurs. */ protected Set<Pair> findAllFrequentPairs(List<PseudoSequence> sequences){ // We use a Map the store the pairs. Map<Pair, Pair> mapPairs = new HashMap<Pair, Pair>(); // for each sequence for(PseudoSequence sequence : sequences){ // for each itemset for(int i=0; i< sequence.size(); i++){ // for each item for(int j=0; j < sequence.getSizeOfItemsetAt(i); j++){ Integer item = sequence.getItemAtInItemsetAt(j, i); // create the pair corresponding to this item Pair pair = new Pair(sequence.isPostfix(i), item); // get the pair object store in the map if there is one already Pair oldPair = mapPairs.get(pair); // if there is no pair object yet if(oldPair == null){ // store the pair object that we created mapPairs.put(pair, pair); }else{ // otherwise use the old one pair = oldPair; } // record the current sequence id for that pair pair.getSequenceIDs().add(sequence.getId()); } } } MemoryLogger.getInstance().checkMemory(); // check the memory for statistics. // return the map of pairs return mapPairs.keySet(); } /** * This method creates a copy of the sequence and add a given item * as a new itemset to the sequence. * It sets the support of the sequence as the support of the item. * @param prefix the sequence * @param item the item * @return the new sequence */ private SequentialPattern appendItemToSequence(SequentialPattern prefix, Integer item) { SequentialPattern newPrefix = prefix.cloneSequence(); // isSuffix newPrefix.addItemset(new Itemset(item)); // cr�� un nouvel itemset + decalage return newPrefix; } /** * This method creates a copy of the sequence and add a given item * to the last itemset of the sequence. * It sets the support of the sequence as the support of the item. * @param prefix the sequence * @param item the item * @return the new sequence */ private SequentialPattern appendItemToPrefixOfSequence(SequentialPattern prefix, Integer item) { SequentialPattern newPrefix = prefix.cloneSequence(); Itemset itemset = newPrefix.get(newPrefix.size()-1); // ajoute au dernier itemset itemset.addItem(item); return newPrefix; } /** * Print statistics about the algorithm execution to System.out. * @param size the size of the database */ public void printStatistics(int size) { StringBuilder r = new StringBuilder(200); r.append("============= PREFIXSPAN - STATISTICS =============\n Total time ~ "); r.append(endTime - startTime); r.append(" ms\n"); r.append(" Frequent sequences count : " + patternCount); r.append('\n'); r.append(" Max memory (mb) : " ); r.append(MemoryLogger.getInstance().getMaxMemory()); r.append(patternCount); r.append('\n'); r.append("===================================================\n"); // if the result was save into memory, print it if(patterns !=null){ patterns.printFrequentPatterns(size, showSequenceIdentifiers); } System.out.println(r.toString()); } /** * Get the maximum length of patterns to be found (in terms of item count) * @return the maximumPatternLength */ public int getMaximumPatternLength() { return maximumPatternLength; } /** * Set the maximum length of patterns to be found (in terms of item count) * @param maximumPatternLength the maximumPatternLength to set */ public void setMaximumPatternLength(int maximumPatternLength) { this.maximumPatternLength = maximumPatternLength; } /** * Set that the sequence identifiers should be shown (true) or not (false) for each * pattern found * @param showSequenceIdentifiers true or false */ public void setShowSequenceIdentifiers(boolean showSequenceIdentifiers) { this.showSequenceIdentifiers = showSequenceIdentifiers; } }