1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2016 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.Random;
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26 |
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27 | namespace HeuristicLab.Problems.Instances.DataAnalysis {
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28 | public class RippleFunction : ArtificialRegressionDataDescriptor {
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29 |
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30 | public override string Name { get { return "Vladislavleva-7 F7(X1, X2) = (X1 - 3)(X2 - 3) + 2 * sin((X1 - 4)(X2 - 4))"; } }
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31 | public override string Description {
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32 | get {
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33 | return "Paper: Order of Nonlinearity as a Complexity Measure for Models Generated by Symbolic Regression via Pareto Genetic Programming " + Environment.NewLine
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34 | + "Authors: Ekaterina J. Vladislavleva, Member, IEEE, Guido F. Smits, Member, IEEE, and Dick den Hertog" + Environment.NewLine
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35 | + "Function: F7(X1, X2) = (X1 - 3)(X2 - 3) + 2 * sin((X1 - 4)(X2 - 4))" + Environment.NewLine
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36 | + "Training Data: 300 points X1, X2 = Rand(0.05, 6.05)" + Environment.NewLine
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37 | + "Test Data: 1000 points X1, X2 = Rand(-0.25, 6.35)" + Environment.NewLine
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38 | + "Function Set: +, -, *, /, square, e^x, e^-x, sin(x), cos(x), x^eps, x + eps, x + eps";
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39 | }
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40 | }
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41 | protected override string TargetVariable { get { return "Y"; } }
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42 | protected override string[] VariableNames { get { return new string[] { "X1", "X2", "Y" }; } }
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43 | protected override string[] AllowedInputVariables { get { return new string[] { "X1", "X2" }; } }
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44 | protected override int TrainingPartitionStart { get { return 0; } }
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45 | protected override int TrainingPartitionEnd { get { return 300; } }
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46 | protected override int TestPartitionStart { get { return 300; } }
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47 | protected override int TestPartitionEnd { get { return 300 + 1000; } }
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48 | public int Seed { get; private set; }
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49 |
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50 | public RippleFunction() : this((int)DateTime.Now.Ticks) { }
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51 |
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52 | public RippleFunction(int seed) : base() {
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53 | Seed = seed;
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54 | }
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55 | protected override List<List<double>> GenerateValues() {
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56 | List<List<double>> data = new List<List<double>>();
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57 | var rand = new MersenneTwister((uint)Seed);
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58 | for (int i = 0; i < AllowedInputVariables.Count(); i++) {
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59 | data.Add(ValueGenerator.GenerateUniformDistributedValues(rand.Next(), 300, 0.05, 6.05).ToList());
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60 | }
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61 |
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62 | for (int i = 0; i < AllowedInputVariables.Count(); i++) {
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63 | data[i].AddRange(ValueGenerator.GenerateUniformDistributedValues(rand.Next(), 1000, -0.25, 6.35));
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64 | }
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65 |
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66 | double x1, x2;
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67 | List<double> results = new List<double>();
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68 | for (int i = 0; i < data[0].Count; i++) {
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69 | x1 = data[0][i];
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70 | x2 = data[1][i];
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71 | results.Add((x1 - 3) * (x2 - 3) + 2 * Math.Sin((x1 - 4) * (x2 - 4)));
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72 | }
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73 | data.Add(results);
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74 |
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75 | return data;
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76 | }
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77 | }
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78 | }
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