Classification Models

\(p(y=c|x,\theta) = \frac{p(x|y=c,\theta)p(y=c|\theta)}{\Sigma_{c'}{p(x|y=c',\theta)p(y=c'|\theta)}}\)

Note:

• Prior \(p(y=c|\theta) = \pi_c\)
• Class conditional density \(p(x|y=c,\theta)\)
• Generative classifier

Discriminative classifiers directly model \(p(y|x,\theta)\)