1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2015 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | * and the BEACON Center for the Study of Evolution in Action.
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5 | *
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6 | * This file is part of HeuristicLab.
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7 | *
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8 | * HeuristicLab is free software: you can redistribute it and/or modify
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9 | * it under the terms of the GNU General Public License as published by
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10 | * the Free Software Foundation, either version 3 of the License, or
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11 | * (at your option) any later version.
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12 | *
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13 | * HeuristicLab is distributed in the hope that it will be useful,
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14 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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15 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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16 | * GNU General Public License for more details.
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17 | *
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18 | * You should have received a copy of the GNU General Public License
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19 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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20 | */
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21 | #endregion
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22 |
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23 | using System;
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24 | using System.Collections.Generic;
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25 | using System.Linq;
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26 | using System.Threading;
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27 | using HeuristicLab.Analysis;
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28 | using HeuristicLab.Common;
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29 | using HeuristicLab.Core;
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30 | using HeuristicLab.Data;
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31 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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32 | using HeuristicLab.Optimization;
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33 | using HeuristicLab.Parameters;
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34 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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35 | using HeuristicLab.Problems.DataAnalysis;
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36 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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37 | using HeuristicLab.Problems.DataAnalysis.Symbolic.Regression;
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38 | using HeuristicLab.Random;
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39 |
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40 | namespace HeuristicLab.Algorithms.DataAnalysis.MctsSymbolicRegression {
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41 | [Item("Gradient Boosting Machine Regression (GBM)",
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42 | "Gradient boosting for any regression base learner (e.g. MCTS symbolic regression)")]
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43 | [StorableClass]
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44 | [Creatable(CreatableAttribute.Categories.DataAnalysisRegression, Priority = 350)]
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45 | public class GradientBoostingRegressionAlgorithm : BasicAlgorithm {
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46 | public override Type ProblemType {
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47 | get { return typeof(IRegressionProblem); }
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48 | }
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49 |
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50 | public new IRegressionProblem Problem {
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51 | get { return (IRegressionProblem)base.Problem; }
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52 | set { base.Problem = value; }
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53 | }
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54 |
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55 | #region ParameterNames
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56 |
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57 | private const string IterationsParameterName = "Iterations";
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58 | private const string NuParameterName = "Nu";
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59 | private const string MParameterName = "M";
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60 | private const string RParameterName = "R";
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61 | private const string RegressionAlgorithmParameterName = "RegressionAlgorithm";
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62 | private const string SeedParameterName = "Seed";
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63 | private const string SetSeedRandomlyParameterName = "SetSeedRandomly";
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64 | private const string CreateSolutionParameterName = "CreateSolution";
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65 | private const string RegressionAlgorithmSolutionResultParameterName = "RegressionAlgorithmResult";
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66 |
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67 | #endregion
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68 |
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69 | #region ParameterProperties
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70 |
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71 | public IFixedValueParameter<IntValue> IterationsParameter {
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72 | get { return (IFixedValueParameter<IntValue>)Parameters[IterationsParameterName]; }
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73 | }
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74 |
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75 | public IFixedValueParameter<DoubleValue> NuParameter {
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76 | get { return (IFixedValueParameter<DoubleValue>)Parameters[NuParameterName]; }
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77 | }
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78 |
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79 | public IFixedValueParameter<DoubleValue> RParameter {
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80 | get { return (IFixedValueParameter<DoubleValue>)Parameters[RParameterName]; }
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81 | }
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82 |
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83 | public IFixedValueParameter<DoubleValue> MParameter {
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84 | get { return (IFixedValueParameter<DoubleValue>)Parameters[MParameterName]; }
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85 | }
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86 |
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87 | // regression algorithms are currently: DataAnalysisAlgorithms, BasicAlgorithms and engine algorithms with no common interface
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88 | public IConstrainedValueParameter<IAlgorithm> RegressionAlgorithmParameter {
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89 | get { return (IConstrainedValueParameter<IAlgorithm>)Parameters[RegressionAlgorithmParameterName]; }
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90 | }
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91 |
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92 | public IFixedValueParameter<StringValue> RegressionAlgorithmSolutionResultParameter {
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93 | get { return (IFixedValueParameter<StringValue>)Parameters[RegressionAlgorithmSolutionResultParameterName]; }
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94 | }
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95 |
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96 | public IFixedValueParameter<IntValue> SeedParameter {
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97 | get { return (IFixedValueParameter<IntValue>)Parameters[SeedParameterName]; }
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98 | }
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99 |
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100 | public FixedValueParameter<BoolValue> SetSeedRandomlyParameter {
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101 | get { return (FixedValueParameter<BoolValue>)Parameters[SetSeedRandomlyParameterName]; }
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102 | }
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103 |
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104 | public IFixedValueParameter<BoolValue> CreateSolutionParameter {
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105 | get { return (IFixedValueParameter<BoolValue>)Parameters[CreateSolutionParameterName]; }
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106 | }
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107 |
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108 | #endregion
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109 |
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110 | #region Properties
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111 |
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112 | public int Iterations {
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113 | get { return IterationsParameter.Value.Value; }
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114 | set { IterationsParameter.Value.Value = value; }
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115 | }
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116 |
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117 | public int Seed {
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118 | get { return SeedParameter.Value.Value; }
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119 | set { SeedParameter.Value.Value = value; }
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120 | }
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121 |
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122 | public bool SetSeedRandomly {
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123 | get { return SetSeedRandomlyParameter.Value.Value; }
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124 | set { SetSeedRandomlyParameter.Value.Value = value; }
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125 | }
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126 |
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127 | public double Nu {
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128 | get { return NuParameter.Value.Value; }
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129 | set { NuParameter.Value.Value = value; }
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130 | }
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131 |
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132 | public double R {
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133 | get { return RParameter.Value.Value; }
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134 | set { RParameter.Value.Value = value; }
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135 | }
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136 |
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137 | public double M {
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138 | get { return MParameter.Value.Value; }
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139 | set { MParameter.Value.Value = value; }
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140 | }
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141 |
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142 | public bool CreateSolution {
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143 | get { return CreateSolutionParameter.Value.Value; }
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144 | set { CreateSolutionParameter.Value.Value = value; }
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145 | }
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146 |
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147 | public IAlgorithm RegressionAlgorithm {
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148 | get { return RegressionAlgorithmParameter.Value; }
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149 | }
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150 |
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151 | public string RegressionAlgorithmResult {
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152 | get { return RegressionAlgorithmSolutionResultParameter.Value.Value; }
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153 | set { RegressionAlgorithmSolutionResultParameter.Value.Value = value; }
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154 | }
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155 |
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156 | #endregion
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157 |
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158 | [StorableConstructor]
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159 | protected GradientBoostingRegressionAlgorithm(bool deserializing)
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160 | : base(deserializing) {
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161 | }
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162 |
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163 | protected GradientBoostingRegressionAlgorithm(GradientBoostingRegressionAlgorithm original, Cloner cloner)
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164 | : base(original, cloner) {
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165 | }
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166 |
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167 | public override IDeepCloneable Clone(Cloner cloner) {
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168 | return new GradientBoostingRegressionAlgorithm(this, cloner);
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169 | }
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170 |
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171 | public GradientBoostingRegressionAlgorithm() {
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172 | Problem = new RegressionProblem(); // default problem
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173 | var mctsSymbReg = new MctsSymbolicRegressionAlgorithm();
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174 | // var sgp = CreateSGP();
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175 | var regressionAlgs = new ItemSet<IAlgorithm>(new IAlgorithm[] {
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176 | new LinearRegression(), new RandomForestRegression(), new NearestNeighbourRegression(),
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177 | // sgp,
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178 | mctsSymbReg
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179 | });
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180 | foreach (var alg in regressionAlgs) alg.Prepare();
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181 |
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182 |
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183 | Parameters.Add(new FixedValueParameter<IntValue>(IterationsParameterName,
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184 | "Number of iterations", new IntValue(100)));
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185 | Parameters.Add(new FixedValueParameter<IntValue>(SeedParameterName,
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186 | "The random seed used to initialize the new pseudo random number generator.", new IntValue(0)));
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187 | Parameters.Add(new FixedValueParameter<BoolValue>(SetSeedRandomlyParameterName,
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188 | "True if the random seed should be set to a random value, otherwise false.", new BoolValue(true)));
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189 | Parameters.Add(new FixedValueParameter<DoubleValue>(NuParameterName,
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190 | "The learning rate nu when updating predictions in GBM (0 < nu <= 1)", new DoubleValue(0.5)));
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191 | Parameters.Add(new FixedValueParameter<DoubleValue>(RParameterName,
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192 | "The fraction of rows that are sampled randomly for the base learner in each iteration (0 < r <= 1)",
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193 | new DoubleValue(1)));
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194 | Parameters.Add(new FixedValueParameter<DoubleValue>(MParameterName,
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195 | "The fraction of variables that are sampled randomly for the base learner in each iteration (0 < m <= 1)",
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196 | new DoubleValue(0.5)));
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197 | Parameters.Add(new ConstrainedValueParameter<IAlgorithm>(RegressionAlgorithmParameterName,
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198 | "The regression algorithm to use as a base learner", regressionAlgs, mctsSymbReg));
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199 | Parameters.Add(new FixedValueParameter<StringValue>(RegressionAlgorithmSolutionResultParameterName,
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200 | "The name of the solution produced by the regression algorithm", new StringValue("Solution")));
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201 | Parameters[RegressionAlgorithmSolutionResultParameterName].Hidden = true;
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202 | Parameters.Add(new FixedValueParameter<BoolValue>(CreateSolutionParameterName,
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203 | "Flag that indicates if a solution should be produced at the end of the run", new BoolValue(true)));
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204 | Parameters[CreateSolutionParameterName].Hidden = true;
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205 | }
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206 |
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207 | protected override void Run(CancellationToken cancellationToken) {
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208 | // Set up the algorithm
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209 | if (SetSeedRandomly) Seed = new System.Random().Next();
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210 | var rand = new MersenneTwister((uint)Seed);
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211 |
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212 | // Set up the results display
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213 | var iterations = new IntValue(0);
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214 | Results.Add(new Result("Iterations", iterations));
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215 |
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216 | var table = new DataTable("Qualities");
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217 | table.Rows.Add(new DataRow("Loss (train)"));
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218 | table.Rows.Add(new DataRow("Loss (test)"));
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219 | Results.Add(new Result("Qualities", table));
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220 | var curLoss = new DoubleValue();
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221 | var curTestLoss = new DoubleValue();
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222 | Results.Add(new Result("Loss (train)", curLoss));
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223 | Results.Add(new Result("Loss (test)", curTestLoss));
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224 | var runCollection = new RunCollection();
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225 | Results.Add(new Result("Runs", runCollection));
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226 |
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227 | // init
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228 | var problemData = Problem.ProblemData;
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229 | var targetVarName = Problem.ProblemData.TargetVariable;
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230 | var modifiableDataset = new ModifiableDataset(
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231 | problemData.Dataset.VariableNames,
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232 | problemData.Dataset.VariableNames.Select(v => problemData.Dataset.GetDoubleValues(v).ToList()));
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233 |
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234 | var trainingRows = problemData.TrainingIndices;
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235 | var testRows = problemData.TestIndices;
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236 | var yPred = new double[trainingRows.Count()];
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237 | var yPredTest = new double[testRows.Count()];
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238 | var y = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TrainingIndices).ToArray();
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239 | var curY = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TrainingIndices).ToArray();
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240 |
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241 | var yTest = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TestIndices).ToArray();
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242 | var curYTest = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TestIndices).ToArray();
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243 | var nu = Nu;
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244 | var mVars = (int)Math.Ceiling(M * problemData.AllowedInputVariables.Count());
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245 | var rRows = (int)Math.Ceiling(R * problemData.TrainingIndices.Count());
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246 | var alg = RegressionAlgorithm;
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247 | List<IRegressionModel> models = new List<IRegressionModel>();
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248 | try {
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249 |
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250 | // Loop until iteration limit reached or canceled.
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251 | for (int i = 0; i < Iterations; i++) {
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252 | cancellationToken.ThrowIfCancellationRequested();
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253 |
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254 | modifiableDataset.RemoveVariable(targetVarName);
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255 | modifiableDataset.AddVariable(targetVarName, curY.Concat(curYTest));
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256 |
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257 | SampleTrainingData(rand, modifiableDataset, rRows, problemData.Dataset, curY, problemData.TargetVariable, problemData.TrainingIndices); // all training indices from the original problem data are allowed
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258 | var modifiableProblemData = new RegressionProblemData(modifiableDataset,
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259 | problemData.AllowedInputVariables.SampleRandomWithoutRepetition(rand, mVars),
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260 | problemData.TargetVariable);
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261 | modifiableProblemData.TrainingPartition.Start = 0;
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262 | modifiableProblemData.TrainingPartition.End = rRows;
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263 | modifiableProblemData.TestPartition.Start = problemData.TestPartition.Start;
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264 | modifiableProblemData.TestPartition.End = problemData.TestPartition.End;
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265 |
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266 | if (!TrySetProblemData(alg, modifiableProblemData))
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267 | throw new NotSupportedException("The algorithm cannot be used with GBM.");
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268 |
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269 | IRegressionModel model;
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270 | IRun run;
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271 | // try to find a model. The algorithm might fail to produce a model. In this case we just retry until the iterations are exhausted
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272 | if (TryExecute(alg, RegressionAlgorithmResult, out model, out run)) {
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273 | int row = 0;
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274 | // update predictions for training and test
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275 | // update new targets (in the case of squared error loss we simply use negative residuals)
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276 | foreach (var pred in model.GetEstimatedValues(problemData.Dataset, trainingRows)) {
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277 | yPred[row] = yPred[row] + nu * pred;
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278 | curY[row] = y[row] - yPred[row];
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279 | row++;
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280 | }
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281 | row = 0;
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282 | foreach (var pred in model.GetEstimatedValues(problemData.Dataset, testRows)) {
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283 | yPredTest[row] = yPredTest[row] + nu * pred;
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284 | curYTest[row] = yTest[row] - yPredTest[row];
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285 | row++;
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286 | }
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287 | // determine quality
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288 | OnlineCalculatorError error;
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289 | var trainR = OnlinePearsonsRCalculator.Calculate(yPred, y, out error);
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290 | var testR = OnlinePearsonsRCalculator.Calculate(yPredTest, yTest, out error);
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291 |
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292 | // iteration results
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293 | curLoss.Value = error == OnlineCalculatorError.None ? trainR * trainR : 0.0;
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294 | curTestLoss.Value = error == OnlineCalculatorError.None ? testR * testR : 0.0;
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295 |
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296 | models.Add(model);
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297 |
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298 |
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299 | }
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300 |
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301 | runCollection.Add(run);
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302 | table.Rows["Loss (train)"].Values.Add(curLoss.Value);
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303 | table.Rows["Loss (test)"].Values.Add(curTestLoss.Value);
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304 | iterations.Value = i + 1;
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305 | }
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306 |
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307 | // produce solution
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308 | if (CreateSolution) {
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309 | // when all our models are symbolic models we can easily combine them to a single model
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310 | if (models.All(m => m is ISymbolicRegressionModel)) {
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311 | Results.Add(new Result("Solution", CreateSymbolicSolution(models, Nu, (IRegressionProblemData)problemData.Clone())));
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312 | }
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313 | // just produce an ensemble solution for now (TODO: correct scaling or linear regression for ensemble model weights)
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314 | Results.Add(new Result("EnsembleSolution", new RegressionEnsembleSolution(models, (IRegressionProblemData)problemData.Clone())));
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315 | }
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316 | } finally {
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317 | // reset everything
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318 | alg.Prepare(true);
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319 | }
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320 | }
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321 |
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322 | // this is probably slow as hell
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323 | private void SampleTrainingData(MersenneTwister rand, ModifiableDataset ds, int rRows,
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324 | IDataset sourceDs, double[] curTarget, string targetVarName, IEnumerable<int> trainingIndices) {
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325 | var selectedRows = trainingIndices.SampleRandomWithoutRepetition(rand, rRows).ToArray();
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326 | int t = 0;
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327 | object[] srcRow = new object[ds.Columns];
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328 | var varNames = ds.DoubleVariables.ToArray();
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329 | foreach (var r in selectedRows) {
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330 | // take all values from the original dataset
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331 | for (int c = 0; c < srcRow.Length; c++) {
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332 | var col = sourceDs.GetReadOnlyDoubleValues(varNames[c]);
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333 | srcRow[c] = col[r];
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334 | }
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335 | ds.ReplaceRow(t, srcRow);
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336 | // but use the updated target values
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337 | ds.SetVariableValue(curTarget[r], targetVarName, t);
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338 | t++;
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339 | }
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340 | }
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341 |
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342 | private static ISymbolicRegressionSolution CreateSymbolicSolution(List<IRegressionModel> models, double nu, IRegressionProblemData problemData) {
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343 | var symbModels = models.OfType<ISymbolicRegressionModel>();
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344 | var lowerLimit = symbModels.Min(m => m.LowerEstimationLimit);
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345 | var upperLimit = symbModels.Max(m => m.UpperEstimationLimit);
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346 | var interpreter = new SymbolicDataAnalysisExpressionTreeLinearInterpreter();
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347 | var progRootNode = new ProgramRootSymbol().CreateTreeNode();
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348 | var startNode = new StartSymbol().CreateTreeNode();
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349 |
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350 | var addNode = new Addition().CreateTreeNode();
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351 | var mulNode = new Multiplication().CreateTreeNode();
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352 | var scaleNode = (ConstantTreeNode)new Constant().CreateTreeNode(); // all models are scaled using the same nu
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353 | scaleNode.Value = nu;
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354 |
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355 | foreach (var m in symbModels) {
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356 | var relevantPart = m.SymbolicExpressionTree.Root.GetSubtree(0).GetSubtree(0); // skip root and start
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357 | addNode.AddSubtree((ISymbolicExpressionTreeNode)relevantPart.Clone());
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358 | }
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359 |
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360 | mulNode.AddSubtree(addNode);
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361 | mulNode.AddSubtree(scaleNode);
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362 | startNode.AddSubtree(mulNode);
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363 | progRootNode.AddSubtree(startNode);
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364 | var t = new SymbolicExpressionTree(progRootNode);
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365 | var combinedModel = new SymbolicRegressionModel(t, interpreter, lowerLimit, upperLimit);
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366 | var sol = new SymbolicRegressionSolution(combinedModel, problemData);
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367 | return sol;
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368 | }
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369 |
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370 | private static bool TrySetProblemData(IAlgorithm alg, IRegressionProblemData problemData) {
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371 | var prob = alg.Problem as IRegressionProblem;
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372 | // there is already a problem and it is compatible -> just set problem data
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373 | if (prob != null) {
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374 | prob.ProblemDataParameter.Value = problemData;
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375 | return true;
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376 | } else if (alg.Problem != null) {
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377 | // a problem is set and it is not compatible
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378 | return false;
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379 | } else {
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380 | try {
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381 | // we try to use a symbolic regression problem (works for simple regression algs and GP)
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382 | alg.Problem = new SymbolicRegressionSingleObjectiveProblem();
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383 | } catch (Exception) {
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384 | return false;
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385 | }
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386 | return true;
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387 | }
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388 | }
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389 |
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390 | private static bool TryExecute(IAlgorithm alg, string regressionAlgorithmResultName, out IRegressionModel model, out IRun run) {
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391 | model = null;
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392 | using (var wh = new AutoResetEvent(false)) {
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393 | EventHandler<EventArgs<Exception>> handler = (sender, args) => wh.Set();
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394 | EventHandler handler2 = (sender, args) => wh.Set();
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395 | alg.ExceptionOccurred += handler;
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396 | alg.Stopped += handler2;
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397 | try {
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398 | alg.Prepare();
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399 | alg.Start();
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400 | wh.WaitOne();
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401 |
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402 | run = alg.Runs.Last();
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403 | var sols = alg.Results.Select(r => r.Value).OfType<IRegressionSolution>();
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404 | if (!sols.Any()) return false;
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405 | var sol = sols.First();
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406 | if (sols.Skip(1).Any()) {
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407 | // more than one solution => use regressionAlgorithmResult
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408 | if (alg.Results.ContainsKey(regressionAlgorithmResultName)) {
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409 | sol = (IRegressionSolution)alg.Results[regressionAlgorithmResultName].Value;
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410 | }
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411 | }
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412 | var symbRegSol = sol as SymbolicRegressionSolution;
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413 | // only accept symb reg solutions that do not hit the estimation limits
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414 | // NaN evaluations would not be critical but are problematic if we want to combine all symbolic models into a single symbolic model
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415 | if (symbRegSol == null ||
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416 | (symbRegSol.TrainingLowerEstimationLimitHits == 0 && symbRegSol.TrainingUpperEstimationLimitHits == 0 &&
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417 | symbRegSol.TestLowerEstimationLimitHits == 0 && symbRegSol.TestUpperEstimationLimitHits == 0) &&
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418 | symbRegSol.TrainingNaNEvaluations == 0 && symbRegSol.TestNaNEvaluations == 0) {
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419 | model = sol.Model;
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420 | }
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421 | } finally {
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422 | alg.ExceptionOccurred -= handler;
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423 | alg.Stopped -= handler2;
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424 | }
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425 | }
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426 | return model != null;
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427 | }
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428 | }
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429 | }
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