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Merge pull request #219 from slds-lmu/fix-figure-paths
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jemus42 authored Oct 23, 2024
2 parents aac25fa + 90c1b9e commit fd4570b
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Showing 3 changed files with 8 additions and 8 deletions.
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\vspace{-0.4cm}
\begin{figure}
\centering
\includegraphics[width = 0.5\textwidth]{slides/advriskmin/figure_man/expected-risk-decomp.png}
\includegraphics[width = 0.5\textwidth]{figure_man/expected-risk-decomp.png}
\tiny{\\ Credit: \cite{BROWN2024BIAS}}
\end{figure}

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\vspace{-0.2cm}

\begin{center}
\includegraphics[width = 0.62\textwidth]{slides/advriskmin/figure/quantile-regression.pdf}
\includegraphics[width = 0.62\textwidth]{figure/quantile-regression.pdf}
\end{center}

\end{vbframe}
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12 changes: 6 additions & 6 deletions slides/regularization/slides-regu-bias-variance.tex
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}{% Lecture title
Bias-variance Tradeoff
}{% Relative path to title page image: Can be empty but must not start with slides/
slides/regularization/figure_man/bv_anim_1.pdf
figure_man/bv_anim_1.pdf
}{
\item Understand the bias-variance trade-off
\item Know the definition of model bias, estimation bias, and estimation variance
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$\fbayes \in \Hspace$ is closest to $\fbayes_0$, and we call $d(\fbayes_0, \fbayes)$ the model bias.

\begin{center}
\includegraphics[width=0.5\textwidth]{slides/regularization/figure_man/bv_anim_6.pdf}
\includegraphics[width=0.5\textwidth]{figure_man/bv_anim_6.pdf}
\end{center}
\framebreak
By regularizing our model, we further restrict the model space so that $\Hspace_R$ is a proper subset of $\Hspace.$
We define $\fbayes_R$ as the risk minimizer in $\Hspace_R,$ i.e.,
$$\fbayes_R \in \argmin_{f \in \Hspace_R} \E_{\xy \sim \Pxy}\left[L(f(\xv, y)\right].$$
$\fbayes_R \in \Hspace_R$ is closest to $\ftrue$, and we call $d(\fbayes_R, \fbayes)$ the estimation bias.
\begin{center}
\includegraphics[width=0.49\textwidth]{slides/regularization/figure_man/bv_anim_5.pdf}
\includegraphics[width=0.49\textwidth]{figure_man/bv_anim_5.pdf}
\end{center}
\framebreak

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\begin{columns}[onlytextwidth,T]
\column{0.5\linewidth}

\includegraphics[width=1.0\textwidth]{slides/regularization/figure_man/bv_anim_4.pdf}
\includegraphics[width=1.0\textwidth]{figure_man/bv_anim_4.pdf}

\column{0.45\linewidth}
\lz
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\begin{columns}[onlytextwidth,T]
\column{0.5\linewidth}

\includegraphics[width=1.0\textwidth]{slides/regularization/figure_man/bv_anim_3.pdf}
\includegraphics[width=1.0\textwidth]{figure_man/bv_anim_3.pdf}

\column{0.5\linewidth}
\lz
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\begin{columns}[onlytextwidth,T]
\column{0.48\linewidth}

\includegraphics[width=1.0\textwidth]{slides/regularization/figure_man/bv_anim_2.pdf}
\includegraphics[width=1.0\textwidth]{figure_man/bv_anim_2.pdf}

\column{0.5\linewidth}
\lz
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