1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2010 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System;
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23 | using System.Collections.Generic;
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24 | using System.Linq;
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25 | using HeuristicLab.Analysis;
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26 | using HeuristicLab.Common;
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27 | using HeuristicLab.Core;
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28 | using HeuristicLab.Data;
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29 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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30 | using HeuristicLab.Operators;
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31 | using HeuristicLab.Optimization;
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32 | using HeuristicLab.Parameters;
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33 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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34 | using HeuristicLab.Problems.DataAnalysis.Evaluators;
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35 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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36 |
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37 | namespace HeuristicLab.Problems.DataAnalysis.Regression.Symbolic.Analyzers {
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38 | /// <summary>
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39 | /// "An operator for analyzing the quality of symbolic regression solutions symbolic expression tree encoding."
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40 | /// </summary>
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41 | [Item("SymbolicRegressionModelQualityAnalyzer", "An operator for analyzing the quality of symbolic regression solutions symbolic expression tree encoding.")]
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42 | [StorableClass]
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43 | public sealed class SymbolicRegressionModelQualityAnalyzer : SingleSuccessorOperator, ISymbolicRegressionAnalyzer {
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44 | private const string SymbolicExpressionTreeInterpreterParameterName = "SymbolicExpressionTreeInterpreter";
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45 | private const string SymbolicExpressionTreeParameterName = "SymbolicExpressionTree";
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46 | private const string ProblemDataParameterName = "ProblemData";
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47 | private const string ResultsParameterName = "Results";
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48 |
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49 | private const string TrainingMeanSquaredErrorQualityParameterName = "Mean squared error (training)";
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50 | private const string MinTrainingMeanSquaredErrorQualityParameterName = "Min mean squared error (training)";
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51 | private const string MaxTrainingMeanSquaredErrorQualityParameterName = "Max mean squared error (training)";
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52 | private const string AverageTrainingMeanSquaredErrorQualityParameterName = "Average mean squared error (training)";
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53 | private const string BestTrainingMeanSquaredErrorQualityParameterName = "Best mean squared error (training)";
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54 |
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55 | private const string TrainingAverageRelativeErrorQualityParameterName = "Average relative error (training)";
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56 | private const string MinTrainingAverageRelativeErrorQualityParameterName = "Min average relative error (training)";
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57 | private const string MaxTrainingAverageRelativeErrorQualityParameterName = "Max average relative error (training)";
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58 | private const string AverageTrainingAverageRelativeErrorQualityParameterName = "Average average relative error (training)";
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59 | private const string BestTrainingAverageRelativeErrorQualityParameterName = "Best average relative error (training)";
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60 |
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61 | private const string TrainingRSquaredQualityParameterName = "R² (training)";
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62 | private const string MinTrainingRSquaredQualityParameterName = "Min R² (training)";
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63 | private const string MaxTrainingRSquaredQualityParameterName = "Max R² (training)";
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64 | private const string AverageTrainingRSquaredQualityParameterName = "Average R² (training)";
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65 | private const string BestTrainingRSquaredQualityParameterName = "Best R² (training)";
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66 |
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67 | private const string TestMeanSquaredErrorQualityParameterName = "Mean squared error (test)";
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68 | private const string MinTestMeanSquaredErrorQualityParameterName = "Min mean squared error (test)";
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69 | private const string MaxTestMeanSquaredErrorQualityParameterName = "Max mean squared error (test)";
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70 | private const string AverageTestMeanSquaredErrorQualityParameterName = "Average mean squared error (test)";
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71 | private const string BestTestMeanSquaredErrorQualityParameterName = "Best mean squared error (test)";
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72 |
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73 | private const string TestAverageRelativeErrorQualityParameterName = "Average relative error (test)";
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74 | private const string MinTestAverageRelativeErrorQualityParameterName = "Min average relative error (test)";
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75 | private const string MaxTestAverageRelativeErrorQualityParameterName = "Max average relative error (test)";
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76 | private const string AverageTestAverageRelativeErrorQualityParameterName = "Average average relative error (test)";
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77 | private const string BestTestAverageRelativeErrorQualityParameterName = "Best average relative error (test)";
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78 |
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79 | private const string TestRSquaredQualityParameterName = "R² (test)";
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80 | private const string MinTestRSquaredQualityParameterName = "Min R² (test)";
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81 | private const string MaxTestRSquaredQualityParameterName = "Max R² (test)";
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82 | private const string AverageTestRSquaredQualityParameterName = "Average R² (test)";
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83 | private const string BestTestRSquaredQualityParameterName = "Best R² (test)";
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84 |
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85 | private const string RSquaredValuesParameterName = "R²";
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86 | private const string MeanSquaredErrorValuesParameterName = "Mean squared error";
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87 | private const string RelativeErrorValuesParameterName = "Average relative error";
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88 |
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89 | private const string UpperEstimationLimitParameterName = "UpperEstimationLimit";
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90 | private const string LowerEstimationLimitParameterName = "LowerEstimationLimit";
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91 |
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92 | #region parameter properties
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93 | public ScopeTreeLookupParameter<SymbolicExpressionTree> SymbolicExpressionTreeParameter {
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94 | get { return (ScopeTreeLookupParameter<SymbolicExpressionTree>)Parameters[SymbolicExpressionTreeParameterName]; }
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95 | }
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96 | public IValueLookupParameter<ISymbolicExpressionTreeInterpreter> SymbolicExpressionTreeInterpreterParameter {
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97 | get { return (IValueLookupParameter<ISymbolicExpressionTreeInterpreter>)Parameters[SymbolicExpressionTreeInterpreterParameterName]; }
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98 | }
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99 | public IValueLookupParameter<DataAnalysisProblemData> ProblemDataParameter {
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100 | get { return (IValueLookupParameter<DataAnalysisProblemData>)Parameters[ProblemDataParameterName]; }
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101 | }
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102 | public IValueLookupParameter<DoubleValue> UpperEstimationLimitParameter {
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103 | get { return (IValueLookupParameter<DoubleValue>)Parameters[UpperEstimationLimitParameterName]; }
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104 | }
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105 | public IValueLookupParameter<DoubleValue> LowerEstimationLimitParameter {
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106 | get { return (IValueLookupParameter<DoubleValue>)Parameters[LowerEstimationLimitParameterName]; }
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107 | }
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108 | public ILookupParameter<ResultCollection> ResultsParameter {
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109 | get { return (ILookupParameter<ResultCollection>)Parameters[ResultsParameterName]; }
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110 | }
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111 | #endregion
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112 | #region properties
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113 | public DoubleValue UpperEstimationLimit {
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114 | get { return UpperEstimationLimitParameter.ActualValue; }
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115 | }
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116 | public DoubleValue LowerEstimationLimit {
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117 | get { return LowerEstimationLimitParameter.ActualValue; }
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118 | }
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119 | #endregion
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120 |
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121 | [StorableConstructor]
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122 | private SymbolicRegressionModelQualityAnalyzer(bool deserializing) : base(deserializing) { }
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123 | private SymbolicRegressionModelQualityAnalyzer(SymbolicRegressionModelQualityAnalyzer original, Cloner cloner) : base(original, cloner) { }
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124 | public SymbolicRegressionModelQualityAnalyzer()
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125 | : base() {
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126 | Parameters.Add(new ScopeTreeLookupParameter<SymbolicExpressionTree>(SymbolicExpressionTreeParameterName, "The symbolic expression trees to analyze."));
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127 | Parameters.Add(new ValueLookupParameter<ISymbolicExpressionTreeInterpreter>(SymbolicExpressionTreeInterpreterParameterName, "The interpreter that should be used to calculate the output values of the symbolic expression tree."));
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128 | Parameters.Add(new ValueLookupParameter<DataAnalysisProblemData>(ProblemDataParameterName, "The problem data containing the input varaibles for the symbolic regression problem."));
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129 | Parameters.Add(new ValueLookupParameter<DoubleValue>(UpperEstimationLimitParameterName, "The upper limit that should be used as cut off value for the output values of symbolic expression trees."));
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130 | Parameters.Add(new ValueLookupParameter<DoubleValue>(LowerEstimationLimitParameterName, "The lower limit that should be used as cut off value for the output values of symbolic expression trees."));
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131 | Parameters.Add(new ValueLookupParameter<DataTable>(MeanSquaredErrorValuesParameterName, "The data table to collect mean squared error values."));
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132 | Parameters.Add(new ValueLookupParameter<DataTable>(RSquaredValuesParameterName, "The data table to collect R² correlation coefficient values."));
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133 | Parameters.Add(new ValueLookupParameter<DataTable>(RelativeErrorValuesParameterName, "The data table to collect relative error values."));
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134 | Parameters.Add(new LookupParameter<ResultCollection>(ResultsParameterName, "The result collection where the best symbolic regression solution should be stored."));
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135 | }
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136 |
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137 | public override IDeepCloneable Clone(Cloner cloner) {
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138 | return new SymbolicRegressionModelQualityAnalyzer(this, cloner);
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139 | }
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140 |
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141 | public override IOperation Apply(IExecutionContext context) {
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142 | Analyze(SymbolicExpressionTreeParameter.ActualValue, SymbolicExpressionTreeInterpreterParameter.ActualValue,
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143 | UpperEstimationLimit.Value, LowerEstimationLimit.Value, ProblemDataParameter.ActualValue,
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144 | ResultsParameter.ActualValue);
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145 | return base.Apply(context);
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146 | }
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147 |
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148 | public static void Analyze(IEnumerable<SymbolicExpressionTree> trees, ISymbolicExpressionTreeInterpreter interpreter,
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149 | double upperEstimationLimit, double lowerEstimationLimit,
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150 | DataAnalysisProblemData problemData, ResultCollection results) {
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151 | int targetVariableIndex = problemData.Dataset.GetVariableIndex(problemData.TargetVariable.Value);
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152 | IEnumerable<double> originalTrainingValues = problemData.Dataset.GetEnumeratedVariableValues(targetVariableIndex, problemData.TrainingIndizes);
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153 | IEnumerable<double> originalTestValues = problemData.Dataset.GetEnumeratedVariableValues(targetVariableIndex, problemData.TestIndizes);
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154 | List<double> trainingMse = new List<double>();
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155 | List<double> trainingR2 = new List<double>();
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156 | List<double> trainingRelErr = new List<double>();
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157 | List<double> testMse = new List<double>();
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158 | List<double> testR2 = new List<double>();
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159 | List<double> testRelErr = new List<double>();
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160 |
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161 | OnlineMeanSquaredErrorEvaluator mseEvaluator = new OnlineMeanSquaredErrorEvaluator();
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162 | OnlineMeanAbsolutePercentageErrorEvaluator relErrEvaluator = new OnlineMeanAbsolutePercentageErrorEvaluator();
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163 | OnlinePearsonsRSquaredEvaluator r2Evaluator = new OnlinePearsonsRSquaredEvaluator();
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164 |
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165 | foreach (var tree in trees) {
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166 | #region training
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167 | var estimatedTrainingValues = interpreter.GetSymbolicExpressionTreeValues(tree, problemData.Dataset, problemData.TrainingIndizes);
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168 | mseEvaluator.Reset();
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169 | r2Evaluator.Reset();
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170 | relErrEvaluator.Reset();
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171 | var estimatedEnumerator = estimatedTrainingValues.GetEnumerator();
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172 | var originalEnumerator = originalTrainingValues.GetEnumerator();
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173 | while (estimatedEnumerator.MoveNext() & originalEnumerator.MoveNext()) {
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174 | double estimated = estimatedEnumerator.Current;
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175 | if (double.IsNaN(estimated)) estimated = upperEstimationLimit;
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176 | else estimated = Math.Min(upperEstimationLimit, Math.Max(lowerEstimationLimit, estimated));
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177 | mseEvaluator.Add(originalEnumerator.Current, estimated);
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178 | r2Evaluator.Add(originalEnumerator.Current, estimated);
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179 | relErrEvaluator.Add(originalEnumerator.Current, estimated);
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180 | }
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181 | if (estimatedEnumerator.MoveNext() || originalEnumerator.MoveNext()) {
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182 | throw new InvalidOperationException("Number of elements in estimated and original enumeration doesn't match.");
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183 | }
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184 | trainingMse.Add(mseEvaluator.MeanSquaredError);
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185 | trainingR2.Add(r2Evaluator.RSquared);
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186 | trainingRelErr.Add(relErrEvaluator.MeanAbsolutePercentageError);
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187 | #endregion
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188 | #region test
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189 | var estimatedTestValues = interpreter.GetSymbolicExpressionTreeValues(tree, problemData.Dataset, problemData.TestIndizes);
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190 |
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191 | mseEvaluator.Reset();
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192 | r2Evaluator.Reset();
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193 | relErrEvaluator.Reset();
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194 | estimatedEnumerator = estimatedTestValues.GetEnumerator();
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195 | originalEnumerator = originalTestValues.GetEnumerator();
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196 | while (estimatedEnumerator.MoveNext() & originalEnumerator.MoveNext()) {
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197 | double estimated = estimatedEnumerator.Current;
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198 | if (double.IsNaN(estimated)) estimated = upperEstimationLimit;
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199 | else estimated = Math.Min(upperEstimationLimit, Math.Max(lowerEstimationLimit, estimated));
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200 | mseEvaluator.Add(originalEnumerator.Current, estimated);
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201 | r2Evaluator.Add(originalEnumerator.Current, estimated);
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202 | relErrEvaluator.Add(originalEnumerator.Current, estimated);
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203 | }
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204 | if (estimatedEnumerator.MoveNext() || originalEnumerator.MoveNext()) {
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205 | throw new InvalidOperationException("Number of elements in estimated and original enumeration doesn't match.");
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206 | }
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207 | testMse.Add(mseEvaluator.MeanSquaredError);
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208 | testR2.Add(r2Evaluator.RSquared);
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209 | testRelErr.Add(relErrEvaluator.MeanAbsolutePercentageError);
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210 | #endregion
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211 | }
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212 |
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213 | AddResultTableValues(results, MeanSquaredErrorValuesParameterName, "mean squared error (training)", trainingMse.Min(), trainingMse.Average(), trainingMse.Max());
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214 | AddResultTableValues(results, MeanSquaredErrorValuesParameterName, "mean squared error (test)", testMse.Min(), testMse.Average(), testMse.Max());
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215 | AddResultTableValues(results, RelativeErrorValuesParameterName, "mean relative error (training)", trainingRelErr.Min(), trainingRelErr.Average(), trainingRelErr.Max());
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216 | AddResultTableValues(results, RelativeErrorValuesParameterName, "mean relative error (test)", testRelErr.Min(), testRelErr.Average(), testRelErr.Max());
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217 | AddResultTableValues(results, RSquaredValuesParameterName, "Pearson's R² (training)", trainingR2.Min(), trainingR2.Average(), trainingR2.Max());
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218 | AddResultTableValues(results, RSquaredValuesParameterName, "Pearson's R² (test)", testR2.Min(), testR2.Average(), testR2.Max());
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219 | }
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220 |
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221 | private static void AddResultTableValues(ResultCollection results, string tableName, string valueName, double minValue, double avgValue, double maxValue) {
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222 | if (!results.ContainsKey(tableName)) {
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223 | results.Add(new Result(tableName, new DataTable(tableName)));
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224 | }
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225 | DataTable table = (DataTable)results[tableName].Value;
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226 | AddValue(table, minValue, "Min. " + valueName, string.Empty);
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227 | AddValue(table, avgValue, "Avg. " + valueName, string.Empty);
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228 | AddValue(table, maxValue, "Max. " + valueName, string.Empty);
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229 | }
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230 |
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231 | private static void AddValue(DataTable table, double data, string name, string description) {
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232 | DataRow row;
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233 | table.Rows.TryGetValue(name, out row);
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234 | if (row == null) {
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235 | row = new DataRow(name, description);
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236 | row.Values.Add(data);
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237 | table.Rows.Add(row);
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238 | } else {
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239 | row.Values.Add(data);
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240 | }
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241 | }
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242 |
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243 |
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244 | private static void SetResultValue(ResultCollection results, string name, double value) {
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245 | if (results.ContainsKey(name))
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246 | results[name].Value = new DoubleValue(value);
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247 | else
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248 | results.Add(new Result(name, new DoubleValue(value)));
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249 | }
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250 | }
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251 | }
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