naive bayes

Bayes’ rule:

$$P(y|x)=\frac{P(x|y)P(y)}{P(x)}$$

chain rule of probability on the likelihood:

$$P(x|y)=\prod _{i}P(x_i|y)$$ $$\text{score}(y|x)=\log P(x)+\sum _i\log P(x_i|y)$$

→ Pick the largest $y$ as the class.

Finish fix the notation and finish after tidying up probability notes…