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Update ddasp_exercise_slides.tex
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- PCA typo
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fs446 committed Dec 10, 2024
1 parent 0149039 commit 87dd563
Showing 1 changed file with 7 additions and 3 deletions.
10 changes: 7 additions & 3 deletions slides/ddasp_exercise_slides.tex
Original file line number Diff line number Diff line change
Expand Up @@ -2678,6 +2678,10 @@ \subsection{Exercise 07}

\end{frame}

\begin{frame}{Ex07: Audio Features}
% empty slide for clever touch
\end{frame}




Expand Down Expand Up @@ -2773,9 +2777,9 @@ \subsection{Exercise 08}

Mapping

$\bm{X}_r = \bm{V} \cdot \bm{\Sigma}^\mathrm{T} \bm{U}^\mathrm{T} = \bm{L} \cdot \bm{F}_r$
$\bm{X}_r = \bm{X}_c^\mathrm{T} = \bm{V} \cdot \bm{\Sigma}^\mathrm{T} \bm{U}^\mathrm{T} = \bm{L} \cdot \bm{F}_r$

$\bm{F}_r = \bm{L}^\mathrm{T} \bm{X}_r = \bm{V}^\mathrm{T} \bm{X}_r = \bm{\Sigma}^\mathrm{T} \bm{U}^\mathrm{T} = (\bm{\Sigma} \bm{U})^\mathrm{T}$
$\bm{F}_r = \bm{L}^\mathrm{T} \bm{X}_r = \bm{V}^\mathrm{T} \bm{X}_r = \bm{\Sigma}^\mathrm{T} \bm{U}^\mathrm{T} = ( \bm{U} \bm{\Sigma})^\mathrm{T}$

PC scores $\bm{F}_r =
\begin{bmatrix}
Expand All @@ -2785,7 +2789,7 @@ \subsection{Exercise 08}
- \bm{f}_F -
\end{bmatrix}
=
(\bm{\Sigma} \bm{U})^\mathrm{T}$
(\bm{U} \bm{\Sigma})^\mathrm{T}$

PC loadings $\bm{L} = \bm{V} $

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