[26] | 1 | /*************************************************************************/ |
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| 2 | /* */ |
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| 3 | /* Calculate information, information gain, and print dists */ |
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| 4 | /* -------------------------------------------------------- */ |
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| 5 | /* */ |
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| 6 | /*************************************************************************/ |
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| 7 | |
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| 8 | #include "buildex.i" |
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| 9 | |
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| 10 | |
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| 11 | /*************************************************************************/ |
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| 12 | /* */ |
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| 13 | /* Determine the worth of a particular split according to the */ |
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| 14 | /* operative criterion */ |
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| 15 | /* */ |
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| 16 | /* Parameters: */ |
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| 17 | /* SplitInfo: potential info of the split */ |
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| 18 | /* SplitGain: gain in info of the split */ |
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| 19 | /* MinGain: gain above which the Gain Ratio */ |
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| 20 | /* may be used */ |
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| 21 | /* */ |
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| 22 | /* If the Gain criterion is being used, the information gain of */ |
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| 23 | /* the split is returned, but if the Gain Ratio criterion is */ |
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| 24 | /* being used, the ratio of the information gain of the split to */ |
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| 25 | /* its potential information is returned. */ |
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| 26 | /* */ |
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| 27 | /*************************************************************************/ |
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| 28 | |
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| 29 | float Worth(ThisInfo, ThisGain, MinGain) |
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[69] | 30 | /* ----- */ |
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| 31 | float ThisInfo, ThisGain, MinGain; { |
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| 32 | if (GAINRATIO) { |
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| 33 | if (ThisGain >= MinGain - Epsilon && ThisInfo > Epsilon) { |
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| 34 | return ThisGain / ThisInfo; |
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| 35 | } else { |
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| 36 | return -Epsilon; |
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| 37 | } |
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| 38 | } else { |
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| 39 | return (ThisInfo > 0 && ThisGain > -Epsilon ? ThisGain : -Epsilon); |
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[26] | 40 | } |
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| 41 | } |
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| 42 | |
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| 43 | /*************************************************************************/ |
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| 44 | /* */ |
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| 45 | /* Zero the frequency tables Freq[][] and ValFreq[] up to MaxVal */ |
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| 46 | /* */ |
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| 47 | /*************************************************************************/ |
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| 48 | |
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[69] | 49 | ResetFreq(MaxVal, Freq, ValFreq) |
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| 50 | /* --------- */ |
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[85] | 51 | DiscrValue MaxVal; ItemCount** Freq; ItemCount* ValFreq; { |
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[69] | 52 | DiscrValue v; |
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| 53 | ClassNo c; |
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[26] | 54 | |
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[69] | 55 | ForEach(v, 0, MaxVal) { |
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| 56 | ForEach(c, 0, MaxClass) { |
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| 57 | Freq[v][c] = 0; |
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| 58 | } |
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| 59 | ValFreq[v] = 0; |
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[26] | 60 | } |
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| 61 | } |
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| 62 | |
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[85] | 63 | void ResetFreq_discr(MaxVal, Freq_discr, ValFreq_discr) |
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| 64 | DiscrValue MaxVal; ItemCount** Freq_discr; ItemCount* ValFreq_discr;{ |
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| 65 | DiscrValue v; |
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| 66 | ClassNo c; |
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| 67 | |
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| 68 | ForEach(v, 0, MaxVal) { |
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| 69 | ForEach(c, 0, MaxClass) { |
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| 70 | Freq_discr[v][c] = 0; |
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| 71 | } |
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| 72 | ValFreq_discr[v] = 0; |
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| 73 | } |
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| 74 | } |
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| 75 | |
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[26] | 76 | /*************************************************************************/ |
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| 77 | /* */ |
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| 78 | /* Given tables Freq[][] and ValFreq[], compute the information gain. */ |
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| 79 | /* */ |
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| 80 | /* Parameters: */ |
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| 81 | /* BaseInfo: average information for all items with */ |
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| 82 | /* known values of the test attribute */ |
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| 83 | /* UnknownRate: fraction of items with unknown ditto */ |
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| 84 | /* MaxVal: number of forks */ |
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| 85 | /* TotalItems: number of items with known values of */ |
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| 86 | /* test att */ |
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| 87 | /* */ |
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| 88 | /* where Freq[x][y] contains the no. of cases with value x for a */ |
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| 89 | /* particular attribute that are members of class y, */ |
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| 90 | /* and ValFreq[x] contains the no. of cases with value x for a */ |
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| 91 | /* particular attribute */ |
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| 92 | /* */ |
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| 93 | /*************************************************************************/ |
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| 94 | |
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| 95 | float ComputeGain(BaseInfo, UnknFrac, MaxVal, TotalItems) |
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[69] | 96 | /* ----------- */ |
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| 97 | float BaseInfo, UnknFrac;DiscrValue MaxVal;ItemCount TotalItems; { |
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| 98 | DiscrValue v; |
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| 99 | float ThisInfo = 0.0, ThisGain, TotalInfo(); |
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| 100 | short ReasonableSubsets = 0; |
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[26] | 101 | |
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[69] | 102 | /* Check whether all values are unknown or the same */ |
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[26] | 103 | |
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[69] | 104 | if (!TotalItems) |
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| 105 | return -Epsilon; |
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[26] | 106 | |
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[69] | 107 | /* There must be at least two subsets with MINOBJS items */ |
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[26] | 108 | |
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[69] | 109 | ForEach(v, 1, MaxVal) { |
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| 110 | if (ValFreq[v] >= MINOBJS) |
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| 111 | ReasonableSubsets++; |
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| 112 | } |
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| 113 | if (ReasonableSubsets < 2) |
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| 114 | return -Epsilon; |
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[26] | 115 | |
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[69] | 116 | /* Compute total info after split, by summing the |
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| 117 | info of each of the subsets formed by the test */ |
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[26] | 118 | |
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[69] | 119 | ForEach(v, 1, MaxVal) { |
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| 120 | ThisInfo += TotalInfo(Freq[v], 0, MaxClass); |
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| 121 | } |
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[26] | 122 | |
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[69] | 123 | /* Set the gain in information for all items, adjusted for unknowns */ |
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[26] | 124 | |
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[69] | 125 | ThisGain = (1 - UnknFrac) * (BaseInfo - ThisInfo / TotalItems); |
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[26] | 126 | |
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[69] | 127 | Verbosity(5) |
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| 128 | printf( |
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| 129 | "ComputeThisGain: items %.1f info %.3f base %.3f unkn %.3f result %.3f\n", |
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| 130 | TotalItems + ValFreq[0], ThisInfo, BaseInfo, UnknFrac, ThisGain); |
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[26] | 131 | |
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[69] | 132 | return ThisGain; |
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[26] | 133 | } |
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| 134 | |
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[85] | 135 | float ComputeGain_Discr(BaseInfo, UnknFrac, MaxVal, TotalItems, Freq_discr,ValFreq_discr) |
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| 136 | /* --------- */ |
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| 137 | float BaseInfo, UnknFrac;DiscrValue MaxVal;ItemCount TotalItems; ItemCount** Freq_discr; ItemCount* ValFreq_discr;{ |
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[69] | 138 | DiscrValue v; |
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| 139 | float ThisInfo = 0.0, ThisGain, TotalInfo(); |
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| 140 | short ReasonableSubsets = 0; |
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[26] | 141 | |
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[69] | 142 | /* Check whether all values are unknown or the same */ |
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[26] | 143 | |
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[69] | 144 | if (!TotalItems) |
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| 145 | return -Epsilon; |
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| 146 | |
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| 147 | /* There must be at least two subsets with MINOBJS items */ |
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| 148 | |
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| 149 | ForEach(v, 1, MaxVal) { |
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[85] | 150 | if (ValFreq_discr[v] >= MINOBJS) |
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[69] | 151 | ReasonableSubsets++; |
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| 152 | } |
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| 153 | if (ReasonableSubsets < 2) |
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| 154 | return -Epsilon; |
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| 155 | |
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| 156 | /* Compute total info after split, by summing the |
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| 157 | info of each of the subsets formed by the test */ |
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| 158 | |
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| 159 | ForEach(v, 1, MaxVal) { |
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[85] | 160 | ThisInfo += TotalInfo(Freq_discr[v], 0, MaxClass); |
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[69] | 161 | } |
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| 162 | |
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| 163 | /* Set the gain in information for all items, adjusted for unknowns */ |
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| 164 | |
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| 165 | ThisGain = (1 - UnknFrac) * (BaseInfo - ThisInfo / TotalItems); |
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| 166 | |
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| 167 | Verbosity(5) |
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| 168 | printf( |
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| 169 | "ComputeThisGain: items %.1f info %.3f base %.3f unkn %.3f result %.3f\n", |
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[85] | 170 | TotalItems + ValFreq_discr[0], ThisInfo, BaseInfo, UnknFrac, ThisGain); |
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[69] | 171 | |
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| 172 | return ThisGain; |
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| 173 | } |
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| 174 | |
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[26] | 175 | /*************************************************************************/ |
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| 176 | /* */ |
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| 177 | /* Compute the total information in V[ MinVal..MaxVal ] */ |
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| 178 | /* */ |
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| 179 | /*************************************************************************/ |
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| 180 | |
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| 181 | float TotalInfo(V, MinVal, MaxVal) |
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[69] | 182 | /* --------- */ |
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[85] | 183 | ItemCount* V;DiscrValue MinVal, MaxVal; { |
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[69] | 184 | DiscrValue v; |
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| 185 | float Sum = 0.0; |
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| 186 | ItemCount N, TotalItems = 0; |
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[26] | 187 | |
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[69] | 188 | ForEach(v, MinVal, MaxVal) { |
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| 189 | N = V[v]; |
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[26] | 190 | |
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[69] | 191 | Sum += N * Log(N); |
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| 192 | TotalItems += N; |
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| 193 | } |
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[26] | 194 | |
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[69] | 195 | return TotalItems * Log(TotalItems) - Sum; |
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[26] | 196 | } |
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| 197 | |
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[85] | 198 | |
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[26] | 199 | /*************************************************************************/ |
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| 200 | /* */ |
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| 201 | /* Print distribution table for given attribute */ |
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| 202 | /* */ |
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| 203 | /*************************************************************************/ |
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| 204 | |
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[69] | 205 | PrintDistribution(Att, MaxVal, ShowNames) |
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| 206 | /* ----------------- */ |
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| 207 | Attribute Att;DiscrValue MaxVal;Boolean ShowNames; { |
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| 208 | DiscrValue v; |
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| 209 | ClassNo c; |
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| 210 | String Val; |
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[26] | 211 | |
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[69] | 212 | printf("\n\t\t\t "); |
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| 213 | ForEach(c, 0, MaxClass) { |
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| 214 | printf("%7.6s", ClassName[c]); |
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| 215 | } |
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| 216 | printf("\n"); |
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[26] | 217 | |
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[69] | 218 | ForEach(v, 0, MaxVal) { |
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| 219 | if (ShowNames) { |
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| 220 | Val = (!v ? "unknown" : MaxAttVal[Att] ? AttValName[Att][v] : v |
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| 221 | == 1 ? "below" : "above"); |
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| 222 | printf("\t\t[%-7.7s:", Val); |
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| 223 | } else { |
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| 224 | printf("\t\t[%-7d:", v); |
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| 225 | } |
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[26] | 226 | |
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[69] | 227 | ForEach(c, 0, MaxClass) { |
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| 228 | printf(" %6.1f", Freq[v][c]); |
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| 229 | } |
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| 230 | |
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| 231 | printf("]\n"); |
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[26] | 232 | } |
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[69] | 233 | } |
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| 234 | |
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[85] | 235 | PrintDistribution_Discr(Att, MaxVal, ShowNames, Freq_discr) |
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[69] | 236 | /* ----------------- */ |
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[85] | 237 | Attribute Att;DiscrValue MaxVal;Boolean ShowNames; ItemCount** Freq_discr;{ |
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[69] | 238 | DiscrValue v; |
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| 239 | ClassNo c; |
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| 240 | String Val; |
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| 241 | |
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| 242 | printf("\n\t\t\t "); |
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| 243 | ForEach(c, 0, MaxClass) { |
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| 244 | printf("%7.6s", ClassName[c]); |
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[26] | 245 | } |
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[69] | 246 | printf("\n"); |
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[26] | 247 | |
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[69] | 248 | ForEach(v, 0, MaxVal) { |
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| 249 | if (ShowNames) { |
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| 250 | Val = (!v ? "unknown" : MaxAttVal[Att] ? AttValName[Att][v] : v |
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| 251 | == 1 ? "below" : "above"); |
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| 252 | printf("\t\t[%-7.7s:", Val); |
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| 253 | } else { |
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| 254 | printf("\t\t[%-7d:", v); |
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| 255 | } |
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| 256 | |
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| 257 | ForEach(c, 0, MaxClass) { |
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[85] | 258 | printf(" %6.1f", Freq_discr[v][c]); |
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[69] | 259 | } |
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| 260 | |
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| 261 | printf("]\n"); |
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[26] | 262 | } |
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| 263 | } |
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