1 | /* |
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2 | * This program is free software; you can redistribute it and/or modify |
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3 | * it under the terms of the GNU General Public License as published by |
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4 | * the Free Software Foundation; either version 2 of the License, or |
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5 | * (at your option) any later version. |
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6 | * |
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7 | * This program is distributed in the hope that it will be useful, |
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8 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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9 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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10 | * GNU General Public License for more details. |
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11 | * |
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12 | * You should have received a copy of the GNU General Public License |
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13 | * along with this program; if not, write to the Free Software |
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14 | * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. |
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15 | */ |
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16 | |
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17 | /* |
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18 | * ItemSet.java |
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19 | * Copyright (C) 1999 University of Waikato, Hamilton, New Zealand |
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20 | * |
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21 | */ |
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22 | |
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23 | package weka.associations; |
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24 | |
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25 | import weka.core.FastVector; |
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26 | import weka.core.Instance; |
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27 | import weka.core.Instances; |
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28 | import weka.core.RevisionHandler; |
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29 | import weka.core.RevisionUtils; |
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30 | |
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31 | import java.io.Serializable; |
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32 | import java.util.Enumeration; |
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33 | import java.util.Hashtable; |
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34 | |
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35 | /** |
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36 | * Class for storing a set of items. Item sets are stored in a lexicographic |
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37 | * order, which is determined by the header information of the set of instances |
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38 | * used for generating the set of items. All methods in this class assume that |
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39 | * item sets are stored in lexicographic order. |
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40 | * The class provides the general methods used for item sets in class - and |
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41 | * standard association rule mining. |
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42 | * |
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43 | * @author Eibe Frank (eibe@cs.waikato.ac.nz) |
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44 | * @version $Revision: 5130 $ |
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45 | */ |
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46 | public class ItemSet |
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47 | implements Serializable, RevisionHandler { |
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48 | |
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49 | /** for serialization */ |
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50 | private static final long serialVersionUID = 2724000045282835791L; |
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51 | |
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52 | /** The items stored as an array of of ints. */ |
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53 | protected int[] m_items; |
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54 | |
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55 | /** Counter for how many transactions contain this item set. */ |
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56 | protected int m_counter; |
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57 | |
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58 | /** The total number of transactions */ |
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59 | protected int m_totalTransactions; |
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60 | |
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61 | /** |
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62 | * Treat zeros as missing (rather than a value in their |
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63 | * own right) |
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64 | */ |
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65 | protected boolean m_treatZeroAsMissing = false; |
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66 | |
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67 | /** |
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68 | * Constructor |
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69 | * @param totalTrans the total number of transactions in the data |
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70 | */ |
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71 | public ItemSet(int totalTrans) { |
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72 | m_totalTransactions = totalTrans; |
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73 | } |
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74 | |
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75 | /** |
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76 | * Constructor |
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77 | * @param totalTrans the total number of transactions in the data |
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78 | * @param array the attribute values encoded in an int array |
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79 | */ |
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80 | public ItemSet(int totalTrans, int[] array){ |
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81 | |
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82 | m_totalTransactions = totalTrans; |
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83 | m_items = array; |
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84 | m_counter =1; |
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85 | } |
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86 | |
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87 | /** Contsructor |
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88 | * @param array the item set represented as an int array |
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89 | */ |
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90 | public ItemSet(int[] array){ |
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91 | |
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92 | m_items = array; |
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93 | m_counter = 0; |
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94 | } |
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95 | |
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96 | /** |
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97 | * Checks if an instance contains an item set. |
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98 | * |
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99 | * @param instance the instance to be tested |
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100 | * @return true if the given instance contains this item set |
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101 | */ |
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102 | public boolean containedBy(Instance instance) { |
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103 | |
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104 | if (instance instanceof weka.core.SparseInstance && m_treatZeroAsMissing) { |
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105 | int numInstVals = instance.numValues(); |
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106 | int numItemSetVals = m_items.length; |
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107 | |
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108 | for (int p1 = 0, p2 = 0; p1 < numInstVals || p2 < numItemSetVals; ) { |
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109 | int instIndex = Integer.MAX_VALUE; |
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110 | if (p1 < numInstVals) { |
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111 | instIndex = instance.index(p1); |
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112 | } |
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113 | int itemIndex = p2; |
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114 | |
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115 | if (m_items[itemIndex] > -1) { |
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116 | if (itemIndex != instIndex) { |
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117 | return false; |
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118 | } else { |
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119 | if (instance.isMissingSparse(p1)) { |
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120 | return false; |
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121 | } |
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122 | if (m_items[itemIndex] != (int)instance.valueSparse(p1)) { |
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123 | return false; |
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124 | } |
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125 | } |
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126 | |
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127 | p1++; |
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128 | p2++; |
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129 | } else { |
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130 | if (itemIndex < instIndex) { |
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131 | p2++; |
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132 | } else if (itemIndex == instIndex){ |
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133 | p2++; |
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134 | p1++; |
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135 | } |
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136 | } |
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137 | } |
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138 | } else { |
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139 | for (int i = 0; i < instance.numAttributes(); i++) |
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140 | if (m_items[i] > -1) { |
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141 | if (instance.isMissing(i) || |
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142 | (m_treatZeroAsMissing && (int)instance.value(i) == 0)) |
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143 | return false; |
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144 | if (m_items[i] != (int)instance.value(i)) |
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145 | return false; |
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146 | } |
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147 | } |
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148 | |
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149 | return true; |
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150 | } |
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151 | |
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152 | /** Deletes all item sets that don't have minimum support. |
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153 | * @return the reduced set of item sets |
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154 | * @param maxSupport the maximum support |
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155 | * @param itemSets the set of item sets to be pruned |
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156 | * @param minSupport the minimum number of transactions to be covered |
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157 | */ |
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158 | public static FastVector deleteItemSets(FastVector itemSets, |
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159 | int minSupport, |
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160 | int maxSupport) { |
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161 | |
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162 | FastVector newVector = new FastVector(itemSets.size()); |
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163 | |
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164 | for (int i = 0; i < itemSets.size(); i++) { |
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165 | ItemSet current = (ItemSet)itemSets.elementAt(i); |
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166 | if ((current.m_counter >= minSupport) |
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167 | && (current.m_counter <= maxSupport)) |
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168 | newVector.addElement(current); |
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169 | } |
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170 | return newVector; |
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171 | } |
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172 | |
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173 | /** |
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174 | * Tests if two item sets are equal. |
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175 | * |
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176 | * @param itemSet another item set |
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177 | * @return true if this item set contains the same items as the given one |
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178 | */ |
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179 | public boolean equals(Object itemSet) { |
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180 | |
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181 | if ((itemSet == null) || !(itemSet.getClass().equals(this.getClass()))) { |
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182 | return false; |
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183 | } |
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184 | if (m_items.length != ((ItemSet)itemSet).m_items.length) |
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185 | return false; |
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186 | for (int i = 0; i < m_items.length; i++) |
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187 | if (m_items[i] != ((ItemSet)itemSet).m_items[i]) |
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188 | return false; |
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189 | return true; |
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190 | } |
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191 | |
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192 | /** |
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193 | * Return a hashtable filled with the given item sets. |
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194 | * |
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195 | * @param itemSets the set of item sets to be used for filling the hash table |
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196 | * @param initialSize the initial size of the hashtable |
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197 | * @return the generated hashtable |
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198 | */ |
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199 | public static Hashtable getHashtable(FastVector itemSets, int initialSize) { |
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200 | |
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201 | Hashtable hashtable = new Hashtable(initialSize); |
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202 | |
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203 | for (int i = 0; i < itemSets.size(); i++) { |
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204 | ItemSet current = (ItemSet)itemSets.elementAt(i); |
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205 | hashtable.put(current, new Integer(current.m_counter)); |
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206 | } |
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207 | return hashtable; |
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208 | } |
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209 | |
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210 | /** |
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211 | * Produces a hash code for a item set. |
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212 | * |
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213 | * @return a hash code for a set of items |
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214 | */ |
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215 | public int hashCode() { |
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216 | |
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217 | long result = 0; |
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218 | |
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219 | for (int i = m_items.length-1; i >= 0; i--) |
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220 | result += (i * m_items[i]); |
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221 | return (int)result; |
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222 | } |
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223 | |
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224 | /** Merges all item sets in the set of (k-1)-item sets |
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225 | * to create the (k)-item sets and updates the counters. |
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226 | * @return the generated (k)-item sets |
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227 | * @param totalTrans thetotal number of transactions |
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228 | * @param itemSets the set of (k-1)-item sets |
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229 | * @param size the value of (k-1) |
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230 | */ |
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231 | public static FastVector mergeAllItemSets(FastVector itemSets, int size, |
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232 | int totalTrans) { |
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233 | |
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234 | FastVector newVector = new FastVector(); |
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235 | ItemSet result; |
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236 | int numFound, k; |
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237 | |
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238 | for (int i = 0; i < itemSets.size(); i++) { |
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239 | ItemSet first = (ItemSet)itemSets.elementAt(i); |
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240 | out: |
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241 | for (int j = i+1; j < itemSets.size(); j++) { |
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242 | ItemSet second = (ItemSet)itemSets.elementAt(j); |
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243 | result = new ItemSet(totalTrans); |
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244 | result.m_items = new int[first.m_items.length]; |
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245 | |
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246 | // Find and copy common prefix of size 'size' |
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247 | numFound = 0; |
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248 | k = 0; |
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249 | while (numFound < size) { |
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250 | if (first.m_items[k] == second.m_items[k]) { |
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251 | if (first.m_items[k] != -1) |
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252 | numFound++; |
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253 | result.m_items[k] = first.m_items[k]; |
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254 | } else |
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255 | break out; |
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256 | k++; |
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257 | } |
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258 | |
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259 | // Check difference |
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260 | while (k < first.m_items.length) { |
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261 | if ((first.m_items[k] != -1) && (second.m_items[k] != -1)) |
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262 | break; |
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263 | else { |
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264 | if (first.m_items[k] != -1) |
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265 | result.m_items[k] = first.m_items[k]; |
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266 | else |
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267 | result.m_items[k] = second.m_items[k]; |
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268 | } |
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269 | k++; |
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270 | } |
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271 | if (k == first.m_items.length) { |
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272 | result.m_counter = 0; |
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273 | |
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274 | newVector.addElement(result); |
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275 | } |
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276 | } |
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277 | } |
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278 | return newVector; |
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279 | } |
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280 | |
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281 | /** |
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282 | * Prunes a set of (k)-item sets using the given (k-1)-item sets. |
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283 | * |
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284 | * @param toPrune the set of (k)-item sets to be pruned |
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285 | * @param kMinusOne the (k-1)-item sets to be used for pruning |
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286 | * @return the pruned set of item sets |
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287 | */ |
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288 | public static FastVector pruneItemSets(FastVector toPrune, Hashtable kMinusOne) { |
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289 | |
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290 | FastVector newVector = new FastVector(toPrune.size()); |
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291 | int help, j; |
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292 | |
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293 | for (int i = 0; i < toPrune.size(); i++) { |
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294 | ItemSet current = (ItemSet)toPrune.elementAt(i); |
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295 | for (j = 0; j < current.m_items.length; j++) |
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296 | if (current.m_items[j] != -1) { |
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297 | help = current.m_items[j]; |
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298 | current.m_items[j] = -1; |
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299 | if (kMinusOne.get(current) == null) { |
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300 | current.m_items[j] = help; |
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301 | break; |
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302 | } else{ |
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303 | current.m_items[j] = help; |
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304 | } |
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305 | } |
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306 | if (j == current.m_items.length) |
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307 | newVector.addElement(current); |
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308 | } |
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309 | return newVector; |
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310 | } |
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311 | |
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312 | /** |
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313 | * Prunes a set of rules. |
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314 | * |
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315 | * @param rules a two-dimensional array of lists of item sets. The first list |
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316 | * of item sets contains the premises, the second one the consequences. |
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317 | * @param minConfidence the minimum confidence the rules have to have |
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318 | */ |
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319 | public static void pruneRules(FastVector[] rules, double minConfidence) { |
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320 | |
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321 | FastVector newPremises = new FastVector(rules[0].size()), |
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322 | newConsequences = new FastVector(rules[1].size()), |
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323 | newConf = new FastVector(rules[2].size()); |
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324 | |
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325 | for (int i = 0; i < rules[0].size(); i++) |
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326 | if (!(((Double)rules[2].elementAt(i)).doubleValue() < |
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327 | minConfidence)) { |
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328 | newPremises.addElement(rules[0].elementAt(i)); |
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329 | newConsequences.addElement(rules[1].elementAt(i)); |
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330 | newConf.addElement(rules[2].elementAt(i)); |
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331 | } |
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332 | rules[0] = newPremises; |
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333 | rules[1] = newConsequences; |
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334 | rules[2] = newConf; |
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335 | } |
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336 | |
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337 | /** |
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338 | * Converts the header info of the given set of instances into a set |
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339 | * of item sets (singletons). The ordering of values in the header file |
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340 | * determines the lexicographic order. |
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341 | * |
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342 | * @param instances the set of instances whose header info is to be used |
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343 | * @return a set of item sets, each containing a single item |
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344 | * @exception Exception if singletons can't be generated successfully |
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345 | */ |
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346 | public static FastVector singletons(Instances instances) throws Exception { |
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347 | |
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348 | FastVector setOfItemSets = new FastVector(); |
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349 | ItemSet current; |
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350 | |
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351 | for (int i = 0; i < instances.numAttributes(); i++) { |
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352 | if (instances.attribute(i).isNumeric()) |
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353 | throw new Exception("Can't handle numeric attributes!"); |
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354 | for (int j = 0; j < instances.attribute(i).numValues(); j++) { |
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355 | current = new ItemSet(instances.numInstances()); |
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356 | current.m_items = new int[instances.numAttributes()]; |
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357 | for (int k = 0; k < instances.numAttributes(); k++) |
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358 | current.m_items[k] = -1; |
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359 | current.m_items[i] = j; |
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360 | |
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361 | setOfItemSets.addElement(current); |
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362 | } |
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363 | } |
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364 | return setOfItemSets; |
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365 | } |
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366 | |
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367 | /** |
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368 | * Outputs the support for an item set. |
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369 | * |
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370 | * @return the support |
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371 | */ |
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372 | public int support() { |
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373 | |
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374 | return m_counter; |
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375 | } |
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376 | |
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377 | /** |
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378 | * Returns the contents of an item set as a string. |
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379 | * |
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380 | * @param instances contains the relevant header information |
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381 | * @return string describing the item set |
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382 | */ |
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383 | public String toString(Instances instances) { |
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384 | |
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385 | StringBuffer text = new StringBuffer(); |
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386 | |
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387 | for (int i = 0; i < instances.numAttributes(); i++) |
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388 | if (m_items[i] != -1) { |
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389 | text.append(instances.attribute(i).name()+'='); |
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390 | text.append(instances.attribute(i).value(m_items[i])+' '); |
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391 | } |
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392 | text.append(m_counter); |
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393 | return text.toString(); |
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394 | } |
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395 | |
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396 | /** |
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397 | * Updates counter of item set with respect to given transaction. |
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398 | * |
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399 | * @param instance the instance to be used for ubdating the counter |
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400 | */ |
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401 | public void upDateCounter(Instance instance) { |
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402 | |
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403 | if (containedBy(instance)) |
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404 | m_counter++; |
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405 | } |
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406 | |
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407 | /** |
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408 | * Updates counters for a set of item sets and a set of instances. |
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409 | * |
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410 | * @param itemSets the set of item sets which are to be updated |
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411 | * @param instances the instances to be used for updating the counters |
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412 | */ |
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413 | public static void upDateCounters(FastVector itemSets, Instances instances) { |
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414 | |
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415 | for (int i = 0; i < instances.numInstances(); i++) { |
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416 | Enumeration enu = itemSets.elements(); |
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417 | while (enu.hasMoreElements()) |
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418 | ((ItemSet)enu.nextElement()).upDateCounter(instances.instance(i)); |
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419 | } |
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420 | } |
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421 | |
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422 | /** Gets the counter |
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423 | * @return the counter |
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424 | */ |
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425 | public int counter(){ |
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426 | |
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427 | return m_counter; |
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428 | } |
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429 | |
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430 | /** Gest the item set as an int array |
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431 | * @return int array represneting an item set |
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432 | */ |
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433 | public int[] items(){ |
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434 | |
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435 | return m_items; |
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436 | } |
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437 | |
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438 | /** Gest the index of the value of the specified attribute |
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439 | * @param k the attribute index |
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440 | * @return the index of the attribute value |
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441 | */ |
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442 | public int itemAt(int k){ |
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443 | |
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444 | return m_items[k]; |
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445 | } |
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446 | |
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447 | /** Sets the counter |
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448 | * @param count the counter |
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449 | */ |
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450 | public void setCounter(int count){ |
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451 | |
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452 | m_counter = count; |
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453 | } |
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454 | |
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455 | /** Sets an item sets |
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456 | * @param items an int array representing an item set |
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457 | */ |
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458 | public void setItem(int[] items){ |
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459 | |
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460 | m_items = items; |
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461 | } |
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462 | |
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463 | /** Sets the index of an attribute value |
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464 | * @param value the inex of the attribute value |
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465 | * @param k the index of the attribute |
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466 | */ |
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467 | public void setItemAt(int value, int k){ |
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468 | |
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469 | m_items[k] = value; |
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470 | } |
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471 | |
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472 | /** |
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473 | * Sets whether zeros (i.e. the first value of a nominal attribute) |
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474 | * should be treated as missing values. |
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475 | * |
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476 | * @param z true if zeros should be treated as missing values. |
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477 | */ |
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478 | public void setTreatZeroAsMissing(boolean z) { |
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479 | m_treatZeroAsMissing = z; |
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480 | } |
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481 | |
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482 | /** |
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483 | * Gets whether zeros (i.e. the first value of a nominal attribute) |
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484 | * is to be treated int he same way as missing values. |
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485 | * |
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486 | * @return true if zeros are to be treated like missing values. |
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487 | */ |
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488 | public boolean getTreatZeroAsMissing() { |
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489 | return m_treatZeroAsMissing; |
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490 | } |
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491 | |
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492 | /** |
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493 | * Returns the revision string. |
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494 | * |
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495 | * @return the revision |
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496 | */ |
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497 | public String getRevision() { |
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498 | return RevisionUtils.extract("$Revision: 5130 $"); |
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499 | } |
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500 | } |
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