# Naive Bayes classifier

## Probabilistic classification algorithm / From Wikipedia, the free encyclopedia

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In statistics, **naive Bayes classifiers** are a family of linear "probabilistic classifiers" which assumes that the features are conditionally independent, given the target class. The strength (naivety) of this assumption is what gives the classifier its name. These classifiers are among the simplest Bayesian network models.^{[1]}

Naive Bayes classifiers are highly scalable, requiring a number of parameters linear in the number of variables (features/predictors) in a learning problem. Maximum-likelihood training can be done by evaluating a closed-form expression,^{[2]}^{: 718 } which takes linear time, rather than by expensive iterative approximation as used for many other types of classifiers.

In the statistics literature, naive Bayes models are known under a variety of names, including **simple Bayes** and **independence Bayes**.^{[3]} All these names reference the use of Bayes' theorem in the classifier's decision rule, but naive Bayes is not (necessarily) a Bayesian method.^{[2]}^{[3]}