Advanced Logistic Regression

The figure below shows the corresponding posterior distribution \(p(\mathcal{C}_1|\mathbf{x})\)

posterior-two-class-example The class-conditional densities for two classes, denoted red and blue. Here the class-conditional densities \(p(\mathbf{x}|\mathcal{C}_1)\) and \(p(\mathbf{x}|\mathcal{C}_2)\) are Gaussian

posterior-two-class-example The corresponding posterior probability for the red class, which is given by a logistic sigmoid of a linear function of \(\mathbf{x}\).