Among probabilistic classification algorithms is the Bayes classification, which is based on Bayes' theorem. It predicts the instance or the class as the one that makes the posterior probability maximal. The risk for Bayes classification is that it needs enough data to estimate the joint probability density more reliably.
Given a dataset D with a size
n, each instance or point
x belonging to
D with a dimension of m, for each . To predict the class of any
x, we use the following formula: ...