1 | /*
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2 | * SVM.NET Library
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3 | * Copyright (C) 2008 Matthew Johnson
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4 | *
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5 | * This program is free software: you can redistribute it and/or modify
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6 | * it under the terms of the GNU General Public License as published by
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7 | * the Free Software Foundation, either version 3 of the License, or
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8 | * (at your option) any later version.
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9 | *
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10 | * This program is distributed in the hope that it will be useful,
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11 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 | * GNU General Public License for more details.
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14 | *
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15 | * You should have received a copy of the GNU General Public License
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16 | * along with this program. If not, see <http://www.gnu.org/licenses/>.
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17 | */
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18 |
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19 |
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20 | using System;
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21 | using System.Collections.Generic;
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22 | using System.IO;
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23 |
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24 | namespace SVM
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25 | {
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26 | /// <summary>
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27 | /// This class contains routines which perform parameter selection for a model which uses C-SVC and
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28 | /// an RBF kernel.
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29 | /// </summary>
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30 | public static class ParameterSelection
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31 | {
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32 | /// <summary>
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33 | /// Default number of times to divide the data.
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34 | /// </summary>
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35 | public const int NFOLD = 5;
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36 | /// <summary>
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37 | /// Default minimum power of 2 for the C value (-5)
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38 | /// </summary>
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39 | public const int MIN_C = -5;
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40 | /// <summary>
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41 | /// Default maximum power of 2 for the C value (15)
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42 | /// </summary>
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43 | public const int MAX_C = 15;
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44 | /// <summary>
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45 | /// Default power iteration step for the C value (2)
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46 | /// </summary>
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47 | public const int C_STEP = 2;
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48 | /// <summary>
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49 | /// Default minimum power of 2 for the Gamma value (-15)
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50 | /// </summary>
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51 | public const int MIN_G = -15;
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52 | /// <summary>
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53 | /// Default maximum power of 2 for the Gamma Value (3)
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54 | /// </summary>
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55 | public const int MAX_G = 3;
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56 | /// <summary>
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57 | /// Default power iteration step for the Gamma value (2)
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58 | /// </summary>
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59 | public const int G_STEP = 2;
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60 |
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61 | /// <summary>
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62 | /// Returns a logarithmic list of values from minimum power of 2 to the maximum power of 2 using the provided iteration size.
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63 | /// </summary>
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64 | /// <param name="minPower">The minimum power of 2</param>
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65 | /// <param name="maxPower">The maximum power of 2</param>
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66 | /// <param name="iteration">The iteration size to use in powers</param>
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67 | /// <returns></returns>
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68 | public static List<double> GetList(double minPower, double maxPower, double iteration)
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69 | {
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70 | List<double> list = new List<double>();
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71 | for (double d = minPower; d <= maxPower; d += iteration)
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72 | list.Add(Math.Pow(2, d));
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73 | return list;
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74 | }
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75 |
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76 | /// <summary>
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77 | /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
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78 | /// combination which performed best. The default ranges of C and Gamma values are used. Use this method if there is no validation data available, and it will
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79 | /// divide it 5 times to allow 5-fold validation (training on 4/5 and validating on 1/5, 5 times).
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80 | /// </summary>
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81 | /// <param name="problem">The training data</param>
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82 | /// <param name="parameters">The parameters to use when optimizing</param>
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83 | /// <param name="outputFile">Output file for the parameter results.</param>
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84 | /// <param name="C">The optimal C value will be put into this variable</param>
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85 | /// <param name="Gamma">The optimal Gamma value will be put into this variable</param>
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86 | public static void Grid(
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87 | Problem problem,
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88 | Parameter parameters,
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89 | string outputFile,
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90 | out double C,
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91 | out double Gamma)
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92 | {
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93 | Grid(problem, parameters, GetList(MIN_C, MAX_C, C_STEP), GetList(MIN_G, MAX_G, G_STEP), outputFile, NFOLD, out C, out Gamma);
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94 | }
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95 | /// <summary>
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96 | /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
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97 | /// combination which performed best. Use this method if there is no validation data available, and it will
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98 | /// divide it 5 times to allow 5-fold validation (training on 4/5 and validating on 1/5, 5 times).
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99 | /// </summary>
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100 | /// <param name="problem">The training data</param>
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101 | /// <param name="parameters">The parameters to use when optimizing</param>
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102 | /// <param name="CValues">The set of C values to use</param>
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103 | /// <param name="GammaValues">The set of Gamma values to use</param>
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104 | /// <param name="outputFile">Output file for the parameter results.</param>
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105 | /// <param name="C">The optimal C value will be put into this variable</param>
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106 | /// <param name="Gamma">The optimal Gamma value will be put into this variable</param>
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107 | public static void Grid(
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108 | Problem problem,
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109 | Parameter parameters,
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110 | List<double> CValues,
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111 | List<double> GammaValues,
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112 | string outputFile,
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113 | out double C,
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114 | out double Gamma)
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115 | {
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116 | Grid(problem, parameters, CValues, GammaValues, outputFile, NFOLD, out C, out Gamma);
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117 | }
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118 | /// <summary>
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119 | /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
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120 | /// combination which performed best. Use this method if validation data isn't available, as it will
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121 | /// divide the training data and train on a portion of it and test on the rest.
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122 | /// </summary>
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123 | /// <param name="problem">The training data</param>
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124 | /// <param name="parameters">The parameters to use when optimizing</param>
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125 | /// <param name="CValues">The set of C values to use</param>
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126 | /// <param name="GammaValues">The set of Gamma values to use</param>
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127 | /// <param name="outputFile">Output file for the parameter results.</param>
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128 | /// <param name="nrfold">The number of times the data should be divided for validation</param>
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129 | /// <param name="C">The optimal C value will be placed in this variable</param>
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130 | /// <param name="Gamma">The optimal Gamma value will be placed in this variable</param>
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131 | public static void Grid(
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132 | Problem problem,
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133 | Parameter parameters,
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134 | List<double> CValues,
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135 | List<double> GammaValues,
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136 | string outputFile,
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137 | int nrfold,
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138 | out double C,
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139 | out double Gamma)
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140 | {
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141 | C = 0;
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142 | Gamma = 0;
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143 | double crossValidation = double.MinValue;
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144 | StreamWriter output = null;
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145 | if(outputFile != null)
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146 | output = new StreamWriter(outputFile);
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147 | for(int i=0; i<CValues.Count; i++)
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148 | for (int j = 0; j < GammaValues.Count; j++)
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149 | {
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150 | parameters.C = CValues[i];
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151 | parameters.Gamma = GammaValues[j];
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152 | double test = Training.PerformCrossValidation(problem, parameters, nrfold, true);
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153 | Console.Write("{0} {1} {2}", parameters.C, parameters.Gamma, test);
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154 | if(output != null)
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155 | output.WriteLine("{0} {1} {2}", parameters.C, parameters.Gamma, test);
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156 | if (test > crossValidation)
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157 | {
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158 | C = parameters.C;
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159 | Gamma = parameters.Gamma;
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160 | crossValidation = test;
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161 | Console.WriteLine(" New Maximum!");
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162 | }
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163 | else Console.WriteLine();
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164 | }
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165 | if(output != null)
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166 | output.Close();
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167 | }
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168 | /// <summary>
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169 | /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
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170 | /// combination which performed best. Uses the default values of C and Gamma.
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171 | /// </summary>
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172 | /// <param name="problem">The training data</param>
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173 | /// <param name="validation">The validation data</param>
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174 | /// <param name="parameters">The parameters to use when optimizing</param>
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175 | /// <param name="outputFile">The output file for the parameter results</param>
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176 | /// <param name="C">The optimal C value will be placed in this variable</param>
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177 | /// <param name="Gamma">The optimal Gamma value will be placed in this variable</param>
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178 | public static void Grid(
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179 | Problem problem,
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180 | Problem validation,
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181 | Parameter parameters,
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182 | string outputFile,
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183 | out double C,
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184 | out double Gamma)
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185 | {
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186 | Grid(problem, validation, parameters, GetList(MIN_C, MAX_C, C_STEP), GetList(MIN_G, MAX_G, G_STEP), outputFile, out C, out Gamma);
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187 | }
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188 | /// <summary>
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189 | /// Performs a Grid parameter selection, trying all possible combinations of the two lists and returning the
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190 | /// combination which performed best.
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191 | /// </summary>
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192 | /// <param name="problem">The training data</param>
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193 | /// <param name="validation">The validation data</param>
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194 | /// <param name="parameters">The parameters to use when optimizing</param>
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195 | /// <param name="CValues">The C values to use</param>
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196 | /// <param name="GammaValues">The Gamma values to use</param>
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197 | /// <param name="outputFile">The output file for the parameter results</param>
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198 | /// <param name="C">The optimal C value will be placed in this variable</param>
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199 | /// <param name="Gamma">The optimal Gamma value will be placed in this variable</param>
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200 | public static void Grid(
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201 | Problem problem,
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202 | Problem validation,
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203 | Parameter parameters,
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204 | List<double> CValues,
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205 | List<double> GammaValues,
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206 | string outputFile,
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207 | out double C,
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208 | out double Gamma)
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209 | {
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210 | C = 0;
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211 | Gamma = 0;
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212 | double maxScore = double.MinValue;
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213 | StreamWriter output = null;
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214 | if(outputFile != null)
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215 | output = new StreamWriter(outputFile);
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216 | for (int i = 0; i < CValues.Count; i++)
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217 | for (int j = 0; j < GammaValues.Count; j++)
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218 | {
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219 | parameters.C = CValues[i];
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220 | parameters.Gamma = GammaValues[j];
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221 | Model model = Training.Train(problem, parameters);
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222 | double test = Prediction.Predict(validation, "tmp.txt", model, false);
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223 | Console.Write("{0} {1} {2}", parameters.C, parameters.Gamma, test);
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224 | if(output != null)
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225 | output.WriteLine("{0} {1} {2}", parameters.C, parameters.Gamma, test);
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226 | if (test > maxScore)
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227 | {
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228 | C = parameters.C;
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229 | Gamma = parameters.Gamma;
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230 | maxScore = test;
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231 | Console.WriteLine(" New Maximum!");
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232 | }
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233 | else Console.WriteLine();
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234 | }
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235 | if(output != null)
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236 | output.Close();
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237 | }
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238 | }
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239 | }
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