1  #region License Information


2  /* HeuristicLab


3  * Copyright (C) 20022011 Heuristic and Evolutionary Algorithms Laboratory (HEAL)


4  *


5  * This file is part of HeuristicLab.


6  *


7  * HeuristicLab is free software: you can redistribute it and/or modify


8  * it under the terms of the GNU General Public License as published by


9  * the Free Software Foundation, either version 3 of the License, or


10  * (at your option) any later version.


11  *


12  * HeuristicLab is distributed in the hope that it will be useful,


13  * but WITHOUT ANY WARRANTY; without even the implied warranty of


14  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the


15  * GNU General Public License for more details.


16  *


17  * You should have received a copy of the GNU General Public License


18  * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.


19  */


20  #endregion


21 


22  using System;


23  using System.Collections.Generic;


24  using HeuristicLab.Data;


25 


26  namespace HeuristicLab.Problems.DataAnalysis.Benchmarks {


27  public class KornFunctionEight : RegressionToyBenchmark {


28 


29  public KornFunctionEight() {


30  Name = "Korn 8 y = 6.87 + (11 * sqrt(7.23 * X0 * X3 * X4))";


31  Description = "Paper: Accuracy in Symbolic Regression" + Environment.NewLine


32  + "Authors: Michael F. Korns" + Environment.NewLine


33  + "Function: y = 6.87 + (11 * sqrt(7.23 * X0 * X3 * X4))" + Environment.NewLine


34  + "Real Numbers: 3.45, .982, 100.389, and all other real constants" + Environment.NewLine


35  + "Row Features: x1, x2, x9, and all other features" + Environment.NewLine


36  + "Binary Operators: +, , *, /" + Environment.NewLine


37  + "Unary Operators: sqrt, square, cube, cos, sin, tan, tanh, log, exp" + Environment.NewLine


38  + "\"Our testing regimen uses only statistical best practices outofsample testing techniques. "


39  + "We test each of the test cases on matrices of 10000 rows by 1 to 5 columns with no noise. "


40  + "For each test a training matrix is filled with random numbers between 50 and +50. The test case "


41  + "target expressions are limited to one basis function whose maximum depth is three grammar nodes.\"" + Environment.NewLine + Environment.NewLine


42  + "Note: Because of the square root only nonnegatic values are created for the input variables!";


43  targetVariable = "Y";


44  inputVariables = new List<string>() { "X0", "X1", "X2", "X3", "X4" };


45  trainingPartition = new IntRange(0, 5000);


46  testPartition = new IntRange(5001, 10000);


47  }


48 


49  protected override List<double> GenerateTarget(List<List<double>> data) {


50  double x0, x3, x4;


51  List<double> results = new List<double>();


52  for (int i = 0; i < data[0].Count; i++) {


53  x0 = data[0][i];


54  x3 = data[3][i];


55  x4 = data[4][i];


56  results.Add(6.87 + (11 * Math.Sqrt(7.23 * x0 * x3 * x4)));


57  }


58  return results;


59  }


60 


61  protected override List<List<double>> GenerateInput() {


62  List<List<double>> dataList = new List<List<double>>();


63  DoubleRange range = new DoubleRange(0, 50);


64  for (int i = 0; i < inputVariables.Count; i++) {


65  dataList.Add(RegressionBenchmark.GenerateUniformDistributedValues(testPartition.End, range));


66  }


67 


68  return dataList;


69  }


70  }


71  }

