1 | #include "mixef.h" |
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2 | #include <vector> |
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3 | |
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4 | using namespace itpp; |
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5 | |
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6 | |
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7 | void MixEF::init ( BMEF* Com0, const mat &Data, int c ) { |
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8 | //prepare sizes |
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9 | Coms.set_size ( c ); |
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10 | n=c; |
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11 | weights.set_parameters ( ones ( c ) ); //assume at least one observation in each comp. |
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12 | //est will be done at the end |
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13 | // |
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14 | int i; |
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15 | int ndat = Data.cols(); |
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16 | //Estimate Com0 from all data |
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17 | Coms ( 0 ) = ( BMEF* ) Com0->_copy_(); |
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18 | // Coms(0)->set_evalll(false); |
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19 | Coms ( 0 )->bayesB ( Data ); |
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20 | // Flatten it to its original shape |
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21 | Coms ( 0 )->flatten ( Com0 ); |
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22 | |
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23 | //Copy it to the rest |
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24 | for ( i=1;i<n;i++ ) { |
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25 | //copy Com0 and create new rvs for them |
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26 | Coms ( i ) = ( BMEF* ) Coms ( 0 )->_copy_ ( true ); |
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27 | } |
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28 | //Pick some data for each component and update it |
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29 | for ( i=0;i<n;i++ ) { |
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30 | //pick one datum |
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31 | int ind=floor(ndat*UniRNG.sample()); |
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32 | Coms ( i )->bayes ( Data.get_col ( ind ),1.0 ); |
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33 | } |
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34 | |
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35 | //est already exists - must be deleted before build_est() can be used |
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36 | delete est; |
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37 | build_est(); |
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38 | |
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39 | } |
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40 | |
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41 | void MixEF::bayesB ( const mat &data , const vec &wData ) { |
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42 | int ndat=data.cols(); |
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43 | int t,i,niter; |
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44 | bool converged=false; |
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45 | |
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46 | multiBM weights0 ( weights ); |
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47 | |
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48 | Array<BMEF*> Coms0 ( n ); |
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49 | for ( i=0;i<n;i++ ) {Coms0 ( i ) = ( BMEF* ) Coms ( i )->_copy_();} |
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50 | |
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51 | niter=0; |
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52 | mat W=ones ( n,ndat ) / n; |
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53 | mat Wlast=ones ( n,ndat ) / n; |
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54 | vec w ( n ); |
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55 | vec ll ( n ); |
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56 | // tmp for weights |
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57 | vec wtmp = zeros ( n ); |
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58 | int maxi; |
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59 | double maxll; |
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60 | //Estim |
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61 | while ( !converged ) { |
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62 | // Copy components back to their initial values |
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63 | // All necessary information is now in w and Coms0. |
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64 | Wlast = W; |
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65 | // |
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66 | for ( t=0;t<ndat;t++ ) { |
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67 | for ( i=0;i<n;i++ ) { |
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68 | ll ( i ) =Coms ( i )->logpred ( data.get_col ( t ) ); |
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69 | wtmp =0.0; wtmp ( i ) =1.0; |
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70 | ll ( i ) += weights.logpred ( wtmp ); |
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71 | } |
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72 | |
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73 | maxll = max(ll,maxi); |
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74 | switch (method) { |
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75 | case QB: |
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76 | w = exp ( ll-maxll ); |
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77 | w/=sum(w); |
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78 | break; |
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79 | case EM: |
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80 | w = 0.0; |
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81 | w(maxi) = 1.0; |
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82 | break; |
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83 | } |
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84 | |
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85 | W.set_col ( t, w ); |
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86 | } |
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87 | |
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88 | // copy initial statistics |
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89 | for ( i=0;i<n;i++ ) { |
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90 | Coms ( i )-> set_statistics ( Coms0 ( i ) ); |
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91 | } |
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92 | weights.set_statistics ( &weights0 ); |
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93 | |
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94 | // Update statistics |
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95 | // !!!! note wData ==> this is extra weight of the data record |
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96 | // !!!! For typical cases wData=1. |
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97 | for ( t=0;t<ndat;t++ ) { |
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98 | for ( i=0;i<n;i++ ) { |
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99 | Coms ( i )-> bayes ( data.get_col ( t ),W ( i,t ) * wData ( t ) ); |
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100 | } |
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101 | weights.bayes ( W.get_col ( t ) * wData ( t ) ); |
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102 | } |
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103 | |
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104 | niter++; |
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105 | //TODO better convergence rule. |
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106 | converged = ( sumsum ( abs ( W-Wlast ) ) /n<0.001 ); |
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107 | } |
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108 | |
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109 | //Clean Coms0 |
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110 | for ( i=0;i<n;i++ ) {delete Coms0 ( i );} |
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111 | } |
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112 | |
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113 | void MixEF::bayes ( const vec &data ) { |
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114 | |
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115 | }; |
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116 | |
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117 | void MixEF::bayes ( const mat &data ) { |
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118 | this->bayesB ( data, ones ( data.cols() ) ); |
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119 | }; |
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120 | |
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121 | |
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122 | double MixEF::logpred ( const vec &dt ) const { |
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123 | |
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124 | vec w=weights._epdf().mean(); |
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125 | double exLL=0.0; |
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126 | for ( int i=0;i<n;i++ ) { |
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127 | exLL+=w ( i ) *exp ( Coms ( i )->logpred ( dt ) ); |
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128 | } |
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129 | return log ( exLL ); |
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130 | } |
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131 | |
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132 | emix* MixEF::predictor ( const RV &rv ) { |
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133 | Array<epdf*> pC ( n ); |
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134 | for ( int i=0;i<n;i++ ) {pC ( i ) =Coms ( i )->predictor ( rv );} |
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135 | emix* tmp; |
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136 | tmp = new emix ( rv ); |
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137 | tmp->set_parameters ( weights._epdf().mean(), pC, false ); |
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138 | tmp->ownComs(); |
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139 | return tmp; |
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140 | } |
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