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Naive Bayes description

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Jip J. Dekker 2018-05-25 12:32:39 +10:00
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\paragraph{Naive Bayes Classifier} \paragraph{Naive Bayes Classifier}
\cite{naivebayes} \cite{naivebayes} is a classification method according to Bayes' theorem,
shown in \Cref{eq:bayes}. Bayes' theorem allows us to calculate the
probability of an event taking into account prior knowledge of conditions of
the event in question. In classification this allows us to calculate the
probability that a new instance has a certain class based its features. We
then assign the class that has the highest probability.
\begin{equation}
\label{eq:bayes}
P(A\mid B)=\frac {P(B\mid A)\,P(A)}{P(B)}
\end{equation}
\paragraph{$k$-Nearest Neighbors} \paragraph{$k$-Nearest Neighbors}