# Bayesian inference

**Bayesian inference** is

statistical inference in which probabilities are interpreted not as frequencies or proportions or the like, but rather as degrees of belief. In other words, it attempts to reduce statistical inference to

Bayesian probability. Bayesian inference has applications in

artificial intelligence and

expert systems.

For a worked example of one form of Bayesian inference, see naive Bayesian classification.

In some applications fuzzy logic is an alternative to Bayesian inference. Fuzzy logic and Bayesian inference, however, are mathematically and semantically not compatible: You cannot, in general, understand the *degree of truth* in fuzzy logic as probability and vice versa.

Bayesian inference techniques have been a fundamental part of computerized pattern recognition techniques since the late 1950s. There is growing interest in using Bayesian inference to filter

spam. For example:

Bogofilter,

SpamAssassin and

Mozilla.

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