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Merge overleaf-2024-11-08-1929 into master
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ludwigbothmann authored Nov 8, 2024
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We use a univariate Gaussian for $p(x_j | y=k)$, and estimate $(\mu_{kj}, \sigma^2_{kj})$ in the standard manner. Because of $\pdfxyk = \prodjp p(x_j|y = k)$, the joint conditional density is Gaussian with diagonal but non-isotropic covariance structure, and potentially different across classes.

\lz

\begin{center}
\includegraphics[width=0.2\textwidth]{figure/nb-db.png}
\includegraphics[width=0.6\textwidth, clip = true, trim = {0 100 0 120}]{figure/nb-db.png}
\end{center}

$\Rightarrow$ \textbf{NB is a} (specific) \textbf{QDA model}, with a quadratic decision boundary.
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