[13646] | 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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[13653] | 28 | using HeuristicLab.Algorithms.OffspringSelectionGeneticAlgorithm;
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[13646] | 29 | using HeuristicLab.Common;
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| 30 | using HeuristicLab.Core;
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| 31 | using HeuristicLab.Data;
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| 32 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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| 33 | using HeuristicLab.Optimization;
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| 34 | using HeuristicLab.Parameters;
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| 35 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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| 36 | using HeuristicLab.Problems.DataAnalysis;
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| 37 | using HeuristicLab.Problems.DataAnalysis.Symbolic;
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| 38 | using HeuristicLab.Problems.DataAnalysis.Symbolic.Regression;
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| 39 | using HeuristicLab.Random;
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[13653] | 40 | using HeuristicLab.Selection;
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[13646] | 41 |
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| 42 | namespace HeuristicLab.Algorithms.DataAnalysis.MctsSymbolicRegression {
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| 43 | [Item("Gradient Boosting Machine Regression (GBM)",
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| 44 | "Gradient boosting for any regression base learner (e.g. MCTS symbolic regression)")]
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| 45 | [StorableClass]
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| 46 | [Creatable(CreatableAttribute.Categories.DataAnalysisRegression, Priority = 350)]
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| 47 | public class GradientBoostingRegressionAlgorithm : BasicAlgorithm {
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| 48 | public override Type ProblemType {
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| 49 | get { return typeof(IRegressionProblem); }
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| 50 | }
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| 51 |
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| 52 | public new IRegressionProblem Problem {
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| 53 | get { return (IRegressionProblem)base.Problem; }
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| 54 | set { base.Problem = value; }
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| 55 | }
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| 56 |
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| 57 | #region ParameterNames
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| 58 |
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| 59 | private const string IterationsParameterName = "Iterations";
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| 60 | private const string NuParameterName = "Nu";
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| 61 | private const string MParameterName = "M";
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| 62 | private const string RParameterName = "R";
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| 63 | private const string RegressionAlgorithmParameterName = "RegressionAlgorithm";
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| 64 | private const string SeedParameterName = "Seed";
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| 65 | private const string SetSeedRandomlyParameterName = "SetSeedRandomly";
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| 66 | private const string CreateSolutionParameterName = "CreateSolution";
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| 67 | private const string RegressionAlgorithmSolutionResultParameterName = "RegressionAlgorithmResult";
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| 68 |
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| 69 | #endregion
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| 70 |
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| 71 | #region ParameterProperties
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| 72 |
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| 73 | public IFixedValueParameter<IntValue> IterationsParameter {
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| 74 | get { return (IFixedValueParameter<IntValue>)Parameters[IterationsParameterName]; }
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| 75 | }
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| 76 |
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| 77 | public IFixedValueParameter<DoubleValue> NuParameter {
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| 78 | get { return (IFixedValueParameter<DoubleValue>)Parameters[NuParameterName]; }
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| 79 | }
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| 80 |
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| 81 | public IFixedValueParameter<DoubleValue> RParameter {
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| 82 | get { return (IFixedValueParameter<DoubleValue>)Parameters[RParameterName]; }
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| 83 | }
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| 84 |
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| 85 | public IFixedValueParameter<DoubleValue> MParameter {
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| 86 | get { return (IFixedValueParameter<DoubleValue>)Parameters[MParameterName]; }
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| 87 | }
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| 88 |
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| 89 | // regression algorithms are currently: DataAnalysisAlgorithms, BasicAlgorithms and engine algorithms with no common interface
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| 90 | public IConstrainedValueParameter<IAlgorithm> RegressionAlgorithmParameter {
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| 91 | get { return (IConstrainedValueParameter<IAlgorithm>)Parameters[RegressionAlgorithmParameterName]; }
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| 92 | }
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| 93 |
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| 94 | public IFixedValueParameter<StringValue> RegressionAlgorithmSolutionResultParameter {
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| 95 | get { return (IFixedValueParameter<StringValue>)Parameters[RegressionAlgorithmSolutionResultParameterName]; }
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| 96 | }
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| 97 |
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| 98 | public IFixedValueParameter<IntValue> SeedParameter {
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| 99 | get { return (IFixedValueParameter<IntValue>)Parameters[SeedParameterName]; }
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| 100 | }
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| 101 |
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| 102 | public FixedValueParameter<BoolValue> SetSeedRandomlyParameter {
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| 103 | get { return (FixedValueParameter<BoolValue>)Parameters[SetSeedRandomlyParameterName]; }
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| 104 | }
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| 105 |
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| 106 | public IFixedValueParameter<BoolValue> CreateSolutionParameter {
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| 107 | get { return (IFixedValueParameter<BoolValue>)Parameters[CreateSolutionParameterName]; }
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| 108 | }
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| 109 |
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| 110 | #endregion
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| 111 |
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| 112 | #region Properties
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| 113 |
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| 114 | public int Iterations {
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| 115 | get { return IterationsParameter.Value.Value; }
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| 116 | set { IterationsParameter.Value.Value = value; }
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| 117 | }
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| 118 |
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| 119 | public int Seed {
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| 120 | get { return SeedParameter.Value.Value; }
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| 121 | set { SeedParameter.Value.Value = value; }
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| 122 | }
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| 123 |
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| 124 | public bool SetSeedRandomly {
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| 125 | get { return SetSeedRandomlyParameter.Value.Value; }
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| 126 | set { SetSeedRandomlyParameter.Value.Value = value; }
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| 127 | }
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| 128 |
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| 129 | public double Nu {
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| 130 | get { return NuParameter.Value.Value; }
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| 131 | set { NuParameter.Value.Value = value; }
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| 132 | }
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| 133 |
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| 134 | public double R {
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| 135 | get { return RParameter.Value.Value; }
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| 136 | set { RParameter.Value.Value = value; }
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| 137 | }
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| 138 |
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| 139 | public double M {
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| 140 | get { return MParameter.Value.Value; }
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| 141 | set { MParameter.Value.Value = value; }
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| 142 | }
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| 143 |
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| 144 | public bool CreateSolution {
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| 145 | get { return CreateSolutionParameter.Value.Value; }
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| 146 | set { CreateSolutionParameter.Value.Value = value; }
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| 147 | }
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| 148 |
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| 149 | public IAlgorithm RegressionAlgorithm {
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| 150 | get { return RegressionAlgorithmParameter.Value; }
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| 151 | }
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| 152 |
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| 153 | public string RegressionAlgorithmResult {
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| 154 | get { return RegressionAlgorithmSolutionResultParameter.Value.Value; }
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| 155 | set { RegressionAlgorithmSolutionResultParameter.Value.Value = value; }
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| 156 | }
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| 157 |
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| 158 | #endregion
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| 159 |
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| 160 | [StorableConstructor]
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| 161 | protected GradientBoostingRegressionAlgorithm(bool deserializing)
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| 162 | : base(deserializing) {
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| 163 | }
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| 164 |
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| 165 | protected GradientBoostingRegressionAlgorithm(GradientBoostingRegressionAlgorithm original, Cloner cloner)
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| 166 | : base(original, cloner) {
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| 167 | }
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| 168 |
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| 169 | public override IDeepCloneable Clone(Cloner cloner) {
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| 170 | return new GradientBoostingRegressionAlgorithm(this, cloner);
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| 171 | }
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| 172 |
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| 173 | public GradientBoostingRegressionAlgorithm() {
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| 174 | Problem = new RegressionProblem(); // default problem
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| 175 | var mctsSymbReg = new MctsSymbolicRegressionAlgorithm();
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[13653] | 176 | mctsSymbReg.Iterations = 10000;
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| 177 | mctsSymbReg.StoreAlgorithmInEachRun = false;
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| 178 | var sgp = CreateOSGP();
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[13646] | 179 | var regressionAlgs = new ItemSet<IAlgorithm>(new IAlgorithm[] {
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[13653] | 180 | new RandomForestRegression(),
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| 181 | sgp,
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[13646] | 182 | mctsSymbReg
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| 183 | });
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| 184 | foreach (var alg in regressionAlgs) alg.Prepare();
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| 185 |
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| 186 |
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| 187 | Parameters.Add(new FixedValueParameter<IntValue>(IterationsParameterName,
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| 188 | "Number of iterations", new IntValue(100)));
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| 189 | Parameters.Add(new FixedValueParameter<IntValue>(SeedParameterName,
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| 190 | "The random seed used to initialize the new pseudo random number generator.", new IntValue(0)));
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| 191 | Parameters.Add(new FixedValueParameter<BoolValue>(SetSeedRandomlyParameterName,
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| 192 | "True if the random seed should be set to a random value, otherwise false.", new BoolValue(true)));
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| 193 | Parameters.Add(new FixedValueParameter<DoubleValue>(NuParameterName,
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| 194 | "The learning rate nu when updating predictions in GBM (0 < nu <= 1)", new DoubleValue(0.5)));
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| 195 | Parameters.Add(new FixedValueParameter<DoubleValue>(RParameterName,
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| 196 | "The fraction of rows that are sampled randomly for the base learner in each iteration (0 < r <= 1)",
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| 197 | new DoubleValue(1)));
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| 198 | Parameters.Add(new FixedValueParameter<DoubleValue>(MParameterName,
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| 199 | "The fraction of variables that are sampled randomly for the base learner in each iteration (0 < m <= 1)",
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| 200 | new DoubleValue(0.5)));
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| 201 | Parameters.Add(new ConstrainedValueParameter<IAlgorithm>(RegressionAlgorithmParameterName,
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| 202 | "The regression algorithm to use as a base learner", regressionAlgs, mctsSymbReg));
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| 203 | Parameters.Add(new FixedValueParameter<StringValue>(RegressionAlgorithmSolutionResultParameterName,
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| 204 | "The name of the solution produced by the regression algorithm", new StringValue("Solution")));
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| 205 | Parameters[RegressionAlgorithmSolutionResultParameterName].Hidden = true;
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| 206 | Parameters.Add(new FixedValueParameter<BoolValue>(CreateSolutionParameterName,
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| 207 | "Flag that indicates if a solution should be produced at the end of the run", new BoolValue(true)));
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| 208 | Parameters[CreateSolutionParameterName].Hidden = true;
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| 209 | }
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| 210 |
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| 211 | protected override void Run(CancellationToken cancellationToken) {
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| 212 | // Set up the algorithm
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| 213 | if (SetSeedRandomly) Seed = new System.Random().Next();
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| 214 | var rand = new MersenneTwister((uint)Seed);
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| 215 |
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| 216 | // Set up the results display
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| 217 | var iterations = new IntValue(0);
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| 218 | Results.Add(new Result("Iterations", iterations));
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| 219 |
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| 220 | var table = new DataTable("Qualities");
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| 221 | table.Rows.Add(new DataRow("Loss (train)"));
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| 222 | table.Rows.Add(new DataRow("Loss (test)"));
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| 223 | Results.Add(new Result("Qualities", table));
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| 224 | var curLoss = new DoubleValue();
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| 225 | var curTestLoss = new DoubleValue();
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| 226 | Results.Add(new Result("Loss (train)", curLoss));
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| 227 | Results.Add(new Result("Loss (test)", curTestLoss));
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| 228 | var runCollection = new RunCollection();
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| 229 | Results.Add(new Result("Runs", runCollection));
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| 230 |
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| 231 | // init
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| 232 | var problemData = Problem.ProblemData;
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| 233 | var targetVarName = Problem.ProblemData.TargetVariable;
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| 234 | var modifiableDataset = new ModifiableDataset(
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| 235 | problemData.Dataset.VariableNames,
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| 236 | problemData.Dataset.VariableNames.Select(v => problemData.Dataset.GetDoubleValues(v).ToList()));
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| 237 |
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| 238 | var trainingRows = problemData.TrainingIndices;
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| 239 | var testRows = problemData.TestIndices;
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| 240 | var yPred = new double[trainingRows.Count()];
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| 241 | var yPredTest = new double[testRows.Count()];
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| 242 | var y = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TrainingIndices).ToArray();
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| 243 | var curY = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TrainingIndices).ToArray();
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| 244 |
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| 245 | var yTest = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TestIndices).ToArray();
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| 246 | var curYTest = problemData.Dataset.GetDoubleValues(problemData.TargetVariable, problemData.TestIndices).ToArray();
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| 247 | var nu = Nu;
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| 248 | var mVars = (int)Math.Ceiling(M * problemData.AllowedInputVariables.Count());
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| 249 | var rRows = (int)Math.Ceiling(R * problemData.TrainingIndices.Count());
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| 250 | var alg = RegressionAlgorithm;
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| 251 | List<IRegressionModel> models = new List<IRegressionModel>();
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| 252 | try {
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| 253 |
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| 254 | // Loop until iteration limit reached or canceled.
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| 255 | for (int i = 0; i < Iterations; i++) {
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| 256 | cancellationToken.ThrowIfCancellationRequested();
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| 257 |
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| 258 | modifiableDataset.RemoveVariable(targetVarName);
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| 259 | modifiableDataset.AddVariable(targetVarName, curY.Concat(curYTest));
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| 260 |
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| 261 | 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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| 262 | var modifiableProblemData = new RegressionProblemData(modifiableDataset,
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| 263 | problemData.AllowedInputVariables.SampleRandomWithoutRepetition(rand, mVars),
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| 264 | problemData.TargetVariable);
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| 265 | modifiableProblemData.TrainingPartition.Start = 0;
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| 266 | modifiableProblemData.TrainingPartition.End = rRows;
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| 267 | modifiableProblemData.TestPartition.Start = problemData.TestPartition.Start;
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| 268 | modifiableProblemData.TestPartition.End = problemData.TestPartition.End;
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| 269 |
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| 270 | if (!TrySetProblemData(alg, modifiableProblemData))
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| 271 | throw new NotSupportedException("The algorithm cannot be used with GBM.");
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| 272 |
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| 273 | IRegressionModel model;
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| 274 | IRun run;
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| 275 | // 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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| 276 | if (TryExecute(alg, RegressionAlgorithmResult, out model, out run)) {
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| 277 | int row = 0;
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| 278 | // update predictions for training and test
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| 279 | // update new targets (in the case of squared error loss we simply use negative residuals)
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| 280 | foreach (var pred in model.GetEstimatedValues(problemData.Dataset, trainingRows)) {
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| 281 | yPred[row] = yPred[row] + nu * pred;
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| 282 | curY[row] = y[row] - yPred[row];
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| 283 | row++;
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| 284 | }
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| 285 | row = 0;
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| 286 | foreach (var pred in model.GetEstimatedValues(problemData.Dataset, testRows)) {
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| 287 | yPredTest[row] = yPredTest[row] + nu * pred;
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| 288 | curYTest[row] = yTest[row] - yPredTest[row];
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| 289 | row++;
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| 290 | }
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| 291 | // determine quality
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| 292 | OnlineCalculatorError error;
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| 293 | var trainR = OnlinePearsonsRCalculator.Calculate(yPred, y, out error);
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| 294 | var testR = OnlinePearsonsRCalculator.Calculate(yPredTest, yTest, out error);
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| 295 |
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| 296 | // iteration results
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| 297 | curLoss.Value = error == OnlineCalculatorError.None ? trainR * trainR : 0.0;
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| 298 | curTestLoss.Value = error == OnlineCalculatorError.None ? testR * testR : 0.0;
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| 299 |
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| 300 | models.Add(model);
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| 301 |
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| 302 |
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| 303 | }
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| 304 |
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| 305 | runCollection.Add(run);
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| 306 | table.Rows["Loss (train)"].Values.Add(curLoss.Value);
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| 307 | table.Rows["Loss (test)"].Values.Add(curTestLoss.Value);
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| 308 | iterations.Value = i + 1;
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| 309 | }
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| 310 |
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| 311 | // produce solution
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| 312 | if (CreateSolution) {
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| 313 | // when all our models are symbolic models we can easily combine them to a single model
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| 314 | if (models.All(m => m is ISymbolicRegressionModel)) {
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| 315 | Results.Add(new Result("Solution", CreateSymbolicSolution(models, Nu, (IRegressionProblemData)problemData.Clone())));
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| 316 | }
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| 317 | // just produce an ensemble solution for now (TODO: correct scaling or linear regression for ensemble model weights)
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| 318 | Results.Add(new Result("EnsembleSolution", new RegressionEnsembleSolution(models, (IRegressionProblemData)problemData.Clone())));
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| 319 | }
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| 320 | } finally {
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| 321 | // reset everything
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| 322 | alg.Prepare(true);
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| 323 | }
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| 324 | }
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| 325 |
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[13653] | 326 |
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| 327 | private IAlgorithm CreateOSGP() {
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| 328 | // configure strict osgp
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| 329 | var alg = new OffspringSelectionGeneticAlgorithm.OffspringSelectionGeneticAlgorithm();
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| 330 | var prob = new SymbolicRegressionSingleObjectiveProblem();
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| 331 | prob.MaximumSymbolicExpressionTreeDepth.Value = 7;
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| 332 | prob.MaximumSymbolicExpressionTreeLength.Value = 15;
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| 333 | alg.Problem = prob;
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| 334 | alg.SuccessRatio.Value = 1.0;
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| 335 | alg.ComparisonFactorLowerBound.Value = 1.0;
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| 336 | alg.ComparisonFactorUpperBound.Value = 1.0;
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| 337 | alg.MutationProbability.Value = 0.15;
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| 338 | alg.PopulationSize.Value = 200;
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| 339 | alg.MaximumSelectionPressure.Value = 100;
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| 340 | alg.MaximumEvaluatedSolutions.Value = 20000;
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| 341 | alg.SelectorParameter.Value = alg.SelectorParameter.ValidValues.OfType<GenderSpecificSelector>().First();
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| 342 | alg.MutatorParameter.Value = alg.MutatorParameter.ValidValues.OfType<MultiSymbolicExpressionTreeManipulator>().First();
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| 343 | alg.StoreAlgorithmInEachRun = false;
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| 344 | return alg;
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| 345 | }
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| 346 |
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[13646] | 347 | private void SampleTrainingData(MersenneTwister rand, ModifiableDataset ds, int rRows,
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| 348 | IDataset sourceDs, double[] curTarget, string targetVarName, IEnumerable<int> trainingIndices) {
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| 349 | var selectedRows = trainingIndices.SampleRandomWithoutRepetition(rand, rRows).ToArray();
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| 350 | int t = 0;
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| 351 | object[] srcRow = new object[ds.Columns];
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| 352 | var varNames = ds.DoubleVariables.ToArray();
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| 353 | foreach (var r in selectedRows) {
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| 354 | // take all values from the original dataset
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| 355 | for (int c = 0; c < srcRow.Length; c++) {
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| 356 | var col = sourceDs.GetReadOnlyDoubleValues(varNames[c]);
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| 357 | srcRow[c] = col[r];
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| 358 | }
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| 359 | ds.ReplaceRow(t, srcRow);
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| 360 | // but use the updated target values
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| 361 | ds.SetVariableValue(curTarget[r], targetVarName, t);
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| 362 | t++;
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| 363 | }
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| 364 | }
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| 365 |
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| 366 | private static ISymbolicRegressionSolution CreateSymbolicSolution(List<IRegressionModel> models, double nu, IRegressionProblemData problemData) {
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| 367 | var symbModels = models.OfType<ISymbolicRegressionModel>();
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| 368 | var lowerLimit = symbModels.Min(m => m.LowerEstimationLimit);
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| 369 | var upperLimit = symbModels.Max(m => m.UpperEstimationLimit);
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| 370 | var interpreter = new SymbolicDataAnalysisExpressionTreeLinearInterpreter();
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| 371 | var progRootNode = new ProgramRootSymbol().CreateTreeNode();
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| 372 | var startNode = new StartSymbol().CreateTreeNode();
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| 373 |
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| 374 | var addNode = new Addition().CreateTreeNode();
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| 375 | var mulNode = new Multiplication().CreateTreeNode();
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| 376 | var scaleNode = (ConstantTreeNode)new Constant().CreateTreeNode(); // all models are scaled using the same nu
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| 377 | scaleNode.Value = nu;
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| 378 |
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| 379 | foreach (var m in symbModels) {
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| 380 | var relevantPart = m.SymbolicExpressionTree.Root.GetSubtree(0).GetSubtree(0); // skip root and start
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| 381 | addNode.AddSubtree((ISymbolicExpressionTreeNode)relevantPart.Clone());
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| 382 | }
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| 383 |
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| 384 | mulNode.AddSubtree(addNode);
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| 385 | mulNode.AddSubtree(scaleNode);
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| 386 | startNode.AddSubtree(mulNode);
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| 387 | progRootNode.AddSubtree(startNode);
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| 388 | var t = new SymbolicExpressionTree(progRootNode);
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| 389 | var combinedModel = new SymbolicRegressionModel(t, interpreter, lowerLimit, upperLimit);
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| 390 | var sol = new SymbolicRegressionSolution(combinedModel, problemData);
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| 391 | return sol;
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| 392 | }
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| 393 |
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| 394 | private static bool TrySetProblemData(IAlgorithm alg, IRegressionProblemData problemData) {
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| 395 | var prob = alg.Problem as IRegressionProblem;
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| 396 | // there is already a problem and it is compatible -> just set problem data
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| 397 | if (prob != null) {
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| 398 | prob.ProblemDataParameter.Value = problemData;
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| 399 | return true;
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[13653] | 400 | } else return false;
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[13646] | 401 | }
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| 402 |
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| 403 | private static bool TryExecute(IAlgorithm alg, string regressionAlgorithmResultName, out IRegressionModel model, out IRun run) {
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| 404 | model = null;
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| 405 | using (var wh = new AutoResetEvent(false)) {
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| 406 | EventHandler<EventArgs<Exception>> handler = (sender, args) => wh.Set();
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| 407 | EventHandler handler2 = (sender, args) => wh.Set();
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| 408 | alg.ExceptionOccurred += handler;
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| 409 | alg.Stopped += handler2;
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| 410 | try {
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| 411 | alg.Prepare();
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| 412 | alg.Start();
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| 413 | wh.WaitOne();
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| 414 |
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| 415 | run = alg.Runs.Last();
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| 416 | var sols = alg.Results.Select(r => r.Value).OfType<IRegressionSolution>();
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| 417 | if (!sols.Any()) return false;
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| 418 | var sol = sols.First();
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| 419 | if (sols.Skip(1).Any()) {
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| 420 | // more than one solution => use regressionAlgorithmResult
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| 421 | if (alg.Results.ContainsKey(regressionAlgorithmResultName)) {
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| 422 | sol = (IRegressionSolution)alg.Results[regressionAlgorithmResultName].Value;
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| 423 | }
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| 424 | }
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| 425 | var symbRegSol = sol as SymbolicRegressionSolution;
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| 426 | // only accept symb reg solutions that do not hit the estimation limits
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| 427 | // 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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| 428 | if (symbRegSol == null ||
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| 429 | (symbRegSol.TrainingLowerEstimationLimitHits == 0 && symbRegSol.TrainingUpperEstimationLimitHits == 0 &&
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| 430 | symbRegSol.TestLowerEstimationLimitHits == 0 && symbRegSol.TestUpperEstimationLimitHits == 0) &&
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| 431 | symbRegSol.TrainingNaNEvaluations == 0 && symbRegSol.TestNaNEvaluations == 0) {
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| 432 | model = sol.Model;
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| 433 | }
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| 434 | } finally {
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| 435 | alg.ExceptionOccurred -= handler;
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| 436 | alg.Stopped -= handler2;
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| 437 | }
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| 438 | }
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| 439 | return model != null;
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| 440 | }
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| 441 | }
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| 442 | }
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