public static double[][] Transform(double[][] input)
{
double[][] output = model.Transform(input);
return(output);
}
public void learn_test()
{
#region doc_learn
// Create some sample input data instances. This is the same
// data used in the Gutierrez-Osuna's example available on:
// http://research.cs.tamu.edu/prism/lectures/pr/pr_l10.pdf
double[][] inputs =
{
// Class 0
new double[] { 4, 1 },
new double[] { 2, 4 },
new double[] { 2, 3 },
new double[] { 3, 6 },
new double[] { 4, 4 },
// Class 1
new double[] { 9, 10 },
new double[] { 6, 8 },
new double[] { 9, 5 },
new double[] { 8, 7 },
new double[] { 10, 8 }
};
int[] output =
{
0, 0, 0, 0, 0, // The first five are from class 0
1, 1, 1, 1, 1 // The last five are from class 1
};
// We'll create a KDA using a Linear kernel
var kda = new KernelDiscriminantAnalysis()
{
Kernel = new Linear() // We can choose any kernel function
};
// Compute the analysis and create a classifier
var classifier = kda.Learn(inputs, output);
// Now we can project the data into KDA space:
double[][] projection = kda.Transform(inputs);
// Or perform classification using:
int[] results = kda.Classify(inputs);
// Note: The classifier generated by the KDA analysis is composed
// of a two-step transformation. The first transformation projects
// the input data into a new space using a kernel regression:
MultivariateKernelRegression kernelRegression = classifier.First;
// While the second is a classifier that attempts to map the outputs
// of the kernel regression to each class according to their average:
MinimumMeanDistanceClassifier meanClassifier = classifier.Second;
// As such, calling kda.Classify is equivalent to calling:
int[] results2 = classifier.Decide(inputs);
// which in turn is equivalent to calling:
int[] results3 = meanClassifier.Decide(kernelRegression.Transform(inputs));
#endregion
Assert.AreEqual(results, results2);
Assert.AreEqual(results, results3);
double[][] classifierProjection = kda.Classifier.First.Transform(inputs);
Assert.IsTrue(projection.IsEqual(classifierProjection));
double[][] expected = new double[][] {
new double[] { 80.7607049998409, -5.30485371541545E-06, 6.61304584781419E-06, 4.52807990036774E-06, -3.44409628150189E-06, 3.69094504515388E-06, -1.33641000168438E-05, -0.000132874977040842, -0.000261921590627878, 1.22137997452386 },
new double[] { 67.6629612351861, 6.80622743409742E-06, -8.48466262226566E-06, -5.80961187779394E-06, 4.4188405141643E-06, -4.73555212510135E-06, 1.71463925084936E-05, 0.000170481102685471, 0.000336050342774286, -1.5670535522193 },
new double[] { 59.8679301679674, 4.10375477777336E-06, -5.11575246520124E-06, -3.50285421113483E-06, 2.66430090034575E-06, -2.85525936627451E-06, 1.03382660725515E-05, 0.00010279007663172, 0.000202618589039361, -0.944841112367518 },
new double[] { 101.494441852779, 1.02093411395998E-05, -1.27269939227403E-05, -8.71441780958548E-06, 6.62826077091339E-06, -7.10332818965043E-06, 2.57195887591877E-05, 0.000255721654028207, 0.000504075514164981, -2.35058032832894 },
new double[] { 104.145798201497, 2.80256425000402E-06, -3.49368461627364E-06, -2.39219308895144E-06, 1.81952256639306E-06, -1.94993321933623E-06, 7.06027928387698E-06, 7.01981011275166E-05, 0.000138373670580449, -0.645257345031474 },
new double[] { 242.123077020588, 9.00824221261587E-06, -1.12297005614437E-05, -7.689192102589E-06, 5.84846541151762E-06, -6.26764250277745E-06, 2.26937548148953E-05, 0.000225636753569347, 0.000444772512580016, -2.07404146617259 },
new double[] { 171.808759436683, 9.60879168943052E-06, -1.19783472456447E-05, -8.2018049702981E-06, 6.23836308744075E-06, -6.68548535731617E-06, 2.42066717959233E-05, 0.000240679203812988, 0.000474424013376051, -2.21231089725078 },
new double[] { 203.147921684494, -4.5041210583463E-06, 5.61485022387842E-06, 3.8445962076139E-06, -2.92423269243614E-06, 3.13382127359318E-06, -1.13468773577097E-05, -0.000112818376692303, -0.000222386256126583, 1.03702073308629 },
new double[] { 200.496565335776, 2.90265583302585E-06, -3.61845908969372E-06, -2.47762852723099E-06, 1.88450551963371E-06, -2.01957368695105E-06, 7.31243213181187E-06, 7.27051762225983E-05, 0.000143315587422421, -0.668302250211177 },
new double[] { 244.774433369306, 1.60146531058558E-06, -1.99639123366069E-06, -1.36696743169296E-06, 1.0397271781315E-06, -1.11424755644407E-06, 4.03444536090092E-06, 4.01132006970784E-05, 7.90706689741683E-05, -0.368718482875124 }
};
Assert.IsTrue(expected.Get(null, 0, 2).IsEqual(projection, 1e-6));
// Test the classify method
for (int i = 0; i < 5; i++)
{
int actual = results[i];
Assert.AreEqual(0, actual);
}
for (int i = 5; i < 10; i++)
{
int actual = results[i];
Assert.AreEqual(1, actual);
}
}