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Update ddasp_exercise_slides.tex
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- proejction matrix comment
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fs446 committed Nov 29, 2024
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3 changes: 2 additions & 1 deletion slides/ddasp_exercise_slides.tex
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Expand Up @@ -2874,7 +2874,7 @@ \subsection{Exercise 08}


\begin{frame}[t]{Ex08: Principal Component Analysis (PCA) Feature Representation}

\vspace{-1.5em}
$\cdot$ for $\bm{X}_c \in\mathbb{R}$, $\bm{X}_c = \bm{X}_r^\mathrm{T}$, $\bm{F}_c = \bm{F}_r^\mathrm{T}$, SVD matrices $\bm{U} \bm{\Sigma} \bm{V}^\mathrm{T}$ for $\bm{X}_c$

\begin{minipage}[t]{0.49\textwidth}
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$\tilde{\bm{X}}_{c,N \times F} = (\bm{X}_c \bm{V}_K) \bm{V}_K^\mathrm{T} = \sum_{i=1}^{K} \sigma_i \bm{u}_i \bm{v}_i^\mathrm{T}$

$\bm{V}_K \bm{V}_K^\mathrm{T}$ is a projection matrix into $\text{span}(\bm{v}_1...\bm{v}_K)$
\end{minipage}
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\begin{minipage}[t]{0.49\textwidth}
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