Inheritance: IActivationFunction, ICloneable
        public void MulticlassTest1()
        {
            Accord.Math.Tools.SetupGenerator(0);
            // Neuron.RandGenerator = new ThreadSafeRandom(0);


            int numberOfInputs = 3;
            int numberOfClasses = 4;
            int hiddenNeurons = 5;

            double[][] input = 
            {
                new double[] { -1, -1, -1 }, // 0
                new double[] { -1,  1, -1 }, // 1
                new double[] {  1, -1, -1 }, // 1
                new double[] {  1,  1, -1 }, // 0
                new double[] { -1, -1,  1 }, // 2
                new double[] { -1,  1,  1 }, // 3
                new double[] {  1, -1,  1 }, // 3
                new double[] {  1,  1,  1 }  // 2
            };

            int[] labels =
            {
                0,
                1,
                1,
                0,
                2,
                3,
                3,
                2,
            };

            double[][] outputs = Accord.Statistics.Tools
                .Expand(labels, numberOfClasses, -1, 1);

            var function = new BipolarSigmoidFunction(2);
            var network = new ActivationNetwork(function,
                numberOfInputs, hiddenNeurons, numberOfClasses);

            new NguyenWidrow(network).Randomize();

            var teacher = new LevenbergMarquardtLearning(network);

            double error = Double.PositiveInfinity;
            for (int i = 0; i < 10; i++)
                error = teacher.RunEpoch(input, outputs);

            for (int i = 0; i < input.Length; i++)
            {
                int answer;
                double[] output = network.Compute(input[i]);
                double response = output.Max(out answer);

                int expected = labels[i];
                Assert.AreEqual(expected, answer);
            }
        }
        public void MulticlassTest1()
        {
            Accord.Math.Tools.SetupGenerator(0);

            // Suppose we would like to teach a network to recognize 
            // the following input vectors into 3 possible classes:
            //
            double[][] inputs =
            {
                new double[] { 0, 1, 1, 0 }, // 0
                new double[] { 0, 1, 0, 0 }, // 0
                new double[] { 0, 0, 1, 0 }, // 0
                new double[] { 0, 1, 1, 0 }, // 0
                new double[] { 0, 1, 0, 0 }, // 0
                new double[] { 1, 0, 0, 0 }, // 1
                new double[] { 1, 0, 0, 0 }, // 1
                new double[] { 1, 0, 0, 1 }, // 1
                new double[] { 0, 0, 0, 1 }, // 1
                new double[] { 0, 0, 0, 1 }, // 1
                new double[] { 1, 1, 1, 1 }, // 2
                new double[] { 1, 0, 1, 1 }, // 2
                new double[] { 1, 1, 0, 1 }, // 2
                new double[] { 0, 1, 1, 1 }, // 2
                new double[] { 1, 1, 1, 1 }, // 2
            };

            int[] classes =
            {
                0, 0, 0, 0, 0,
                1, 1, 1, 1, 1,
                2, 2, 2, 2, 2,
            };

            // First we have to convert this problem into a way that  the neural
            // network can handle. The first step is to expand the classes into 
            // indicator vectors, where a 1 into a position signifies that this
            // position indicates the class the sample belongs to.
            //
            double[][] outputs = Statistics.Tools.Expand(classes, -1, +1);

            // Create an activation function for the net
            var function = new BipolarSigmoidFunction();

            // Create an activation network with the function and
            //  4 inputs, 5 hidden neurons and 3 possible outputs:
            var network = new ActivationNetwork(function, 4, 5, 3);

            // Randomly initialize the network
            new NguyenWidrow(network).Randomize();

            // Teach the network using parallel Rprop:
            var teacher = new ParallelResilientBackpropagationLearning(network);

            double error = 1.0;
            while (error > 1e-5)
                error = teacher.RunEpoch(inputs, outputs);


            // Checks if the network has learned
            for (int i = 0; i < inputs.Length; i++)
            {
                double[] answer = network.Compute(inputs[i]);

                int expected = classes[i];
                int actual; answer.Max(out actual);

                Assert.AreEqual(expected, actual, 0.01);
            }
        }