naive Bayes

Naive Bayes classifiers is used in classification based on applying Bayes’ theorem with strong (naïve) independence assumptions between the features. They are among the simplest Bayesian network models.

The corresponding classifier, is the function that assigns a class label $\hat{y}=C_k$ for some $k$ as follow $\hat{y}=\arg {\max }_{k\in \{1,\dots ,K\}}p(C_k){\prod }_{i=1}^{n}p(x_i|C_k)$