1 | // $Id: ROC.cc 1275 2008-04-11 06:10:12Z jari $ |
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2 | |
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3 | /* |
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4 | Copyright (C) 2004, 2005 Peter Johansson |
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5 | Copyright (C) 2006, 2007 Jari Häkkinen, Peter Johansson |
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6 | Copyright (C) 2008 Peter Johansson |
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7 | |
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8 | This file is part of the yat library, http://trac.thep.lu.se/yat |
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9 | |
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10 | The yat library is free software; you can redistribute it and/or |
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11 | modify it under the terms of the GNU General Public License as |
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12 | published by the Free Software Foundation; either version 2 of the |
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13 | License, or (at your option) any later version. |
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14 | |
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15 | The yat library is distributed in the hope that it will be useful, |
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16 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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18 | General Public License for more details. |
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19 | |
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20 | You should have received a copy of the GNU General Public License |
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21 | along with this program; if not, write to the Free Software |
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22 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
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23 | 02111-1307, USA. |
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24 | */ |
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25 | |
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26 | #include "ROC.h" |
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27 | #include "AUC.h" |
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28 | #include "yat/classifier/DataLookupWeighted1D.h" |
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29 | #include "yat/classifier/Target.h" |
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30 | #include "yat/utility/stl_utility.h" |
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31 | #include "yat/utility/VectorBase.h" |
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32 | |
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33 | #include <gsl/gsl_cdf.h> |
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34 | |
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35 | #include <cassert> |
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36 | #include <cmath> |
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37 | #include <utility> |
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38 | #include <vector> |
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39 | |
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40 | namespace theplu { |
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41 | namespace yat { |
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42 | namespace statistics { |
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43 | |
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44 | ROC::ROC(void) |
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45 | :minimum_size_(10) |
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46 | { |
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47 | reset(); |
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48 | } |
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49 | |
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50 | ROC::~ROC(void) |
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51 | { |
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52 | } |
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53 | |
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54 | |
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55 | void ROC::add(double x, bool target, double w) |
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56 | { |
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57 | if (!w) |
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58 | return; |
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59 | multimap_.insert(std::make_pair(x, std::make_pair(target, w))); |
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60 | if (target) |
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61 | w_pos_+=w; |
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62 | else |
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63 | w_neg_+=w; |
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64 | area_=-1; |
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65 | } |
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66 | |
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67 | |
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68 | double ROC::area(void) |
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69 | { |
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70 | if (area_==-1){ |
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71 | AUC auc(false); |
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72 | area_=auc.score(multimap_); |
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73 | } |
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74 | return area_; |
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75 | } |
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76 | |
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77 | |
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78 | double ROC::get_p_approx(double x) const |
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79 | { |
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80 | // make x standard normal |
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81 | x -= 0.5; |
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82 | // Not integrating from the middle of the bin, but from the inner edge. |
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83 | if (x>0) |
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84 | x -= 0.5/(n_pos()*n_neg()); |
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85 | else if(x<0) |
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86 | x += 0.5/(n_pos()*n_neg()); |
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87 | else if (x==0) |
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88 | return 0.5; |
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89 | double sigma = std::sqrt( ( n()+1.0 )/(12*n_pos()*n_neg()) ); |
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90 | return gsl_cdf_gaussian_Q(x, sigma); |
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91 | } |
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92 | |
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93 | double ROC::get_p_exact(const double block, const double nof_pos, |
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94 | const double nof_neg) const |
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95 | { |
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96 | if (block <= 0.0) |
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97 | return 1.0; |
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98 | if (block > nof_neg*nof_pos) |
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99 | return 0.0; |
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100 | double p1 = get_p_exact(block-nof_neg, nof_pos-1, nof_neg); |
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101 | double p2 = get_p_exact(block, nof_pos, nof_neg-1); |
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102 | return nof_pos/(nof_pos+nof_neg)*p1 + nof_neg/(nof_pos+nof_neg)*p2; |
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103 | } |
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104 | |
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105 | unsigned int& ROC::minimum_size(void) |
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106 | { |
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107 | return minimum_size_; |
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108 | } |
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109 | |
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110 | |
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111 | const unsigned int& ROC::minimum_size(void) const |
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112 | { |
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113 | return minimum_size_; |
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114 | } |
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115 | |
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116 | |
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117 | double ROC::n(void) const |
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118 | { |
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119 | return n_pos()+n_neg(); |
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120 | } |
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121 | |
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122 | |
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123 | double ROC::n_neg(void) const |
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124 | { |
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125 | return w_neg_; |
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126 | } |
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127 | |
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128 | |
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129 | double ROC::n_pos(void) const |
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130 | { |
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131 | return w_pos_; |
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132 | } |
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133 | |
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134 | |
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135 | double ROC::p_value() const |
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136 | { |
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137 | double p = 2*p_value_one_sided(); |
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138 | return std::min(p, 2-p); |
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139 | } |
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140 | |
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141 | |
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142 | double ROC::p_value_one_sided() const |
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143 | { |
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144 | double area(area_); |
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145 | if (area_==-1){ |
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146 | AUC auc(false); |
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147 | area = auc.score(multimap_); |
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148 | } |
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149 | if (n_pos() < minimum_size_ && n_neg() < minimum_size_) { |
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150 | // for small areas we calculate probabilitu to get larger area - |
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151 | // not larger or equal. |
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152 | if (area<0.5) |
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153 | return 1-get_p_exact((1-area)*n_pos()*n_neg(), n_pos(), n_neg()); |
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154 | return get_p_exact(area*n_pos()*n_neg(), n_pos(), n_neg()); |
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155 | } |
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156 | return get_p_approx(area); |
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157 | } |
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158 | |
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159 | |
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160 | void ROC::reset(void) |
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161 | { |
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162 | area_=-1; |
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163 | w_pos_=0; |
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164 | w_neg_=0; |
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165 | multimap_.clear(); |
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166 | } |
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167 | |
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168 | }}} // of namespace statistics, yat, and theplu |
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