Bayes Classifier

Using Bayes Theorem

$$\boxed{P(s=i\mid \mathbf{x})=\frac{p(\mathbf{x}\mid s=i)P(s=i)}{p(\mathbf{x})}}i\in \mathcal{S}=\{1,\dots ,N\}$$

• $P(s=i)$: Prior
• $p(\mathbf{x}\mid s=i)$: Likelihood
• $P(s=i\mid \mathbf{x})$: Posterior
• $p(\mathbf{x})$: Evidence