Inverse() public method

The Cauchit mean (activation) function.
The inverse Cauchit link function is given by g(x) = tan(x) * B + A.
public Inverse ( double x ) : double
x double A transformed value.
return double
CauchitLinkFunction Class Documentation
Beispiel #1
0
        public void DerivativeTest()
        {
            double[] expected =
            {
                0.31831, 0.315158, 0.306067, 0.292027, 0.274405, 0.254648,
                0.234051, 0.213631, 0.194091, 0.175862, 0.159155
            };

            CauchitLinkFunction target = new CauchitLinkFunction();

            for (int i = 0; i < 11; i++)
            {
                double x = i / 10.0;
                double y = target.Inverse(x);

                double d1 = target.Derivative(x);
                double d2 = target.Derivative2(y);

                Assert.AreEqual(expected[i], d1, 1e-6);
                Assert.AreEqual(expected[i], d2, 1e-6);

                Assert.IsFalse(Double.IsNaN(d1));
                Assert.IsFalse(Double.IsNaN(d2));
            }
        }
Beispiel #2
0
        public void CauchitLinkFunctionConstructorTest()
        {
            CauchitLinkFunction target = new CauchitLinkFunction();
            Assert.AreEqual(0.5, target.A);
            Assert.AreEqual(1 / Math.PI, target.B);

            for (int i = 0; i < 11; i++)
            {
                double x = i / 10.0;
                double y = Math.Tan(Math.PI * (x - 0.5));

                Assert.AreEqual(y, target.Function(x), 1e-10);
                Assert.AreEqual(x, target.Inverse(y), 1e-10);
            }
        }