From 4aae3ea0427a6c9e9a8519a38d9d9d0ac5f0ec9c Mon Sep 17 00:00:00 2001 From: Jan Aalmoes Date: Sat, 21 Sep 2024 16:27:27 +0200 Subject: fin intro --- classification_finie/ba.tex | 3 +- classification_finie/figure/ba/COMPAS.pdf | Bin 0 -> 13097 bytes classification_finie/figure/ba/LAW.pdf | Bin 0 -> 12684 bytes .../figure/cezanne/cezanne/colage.png | Bin 0 -> 27809765 bytes .../figure/cezanne/cezanne/collage.svg | 77 +++++++++++++++++++++ classification_finie/figure/cezanne/colage.png | Bin 0 -> 27809765 bytes classification_finie/figure/cezanne/collage.svg | 77 +++++++++++++++++++++ classification_finie/figure/time/COMPAS.pdf | Bin 0 -> 12220 bytes classification_finie/figure/time/LAW.pdf | Bin 0 -> 12458 bytes classification_finie/main.tex | 1 + classification_finie/tabular.tex | 16 +++-- 11 files changed, 167 insertions(+), 7 deletions(-) create mode 100644 classification_finie/figure/ba/COMPAS.pdf create mode 100644 classification_finie/figure/ba/LAW.pdf create mode 100644 classification_finie/figure/cezanne/cezanne/colage.png create mode 100644 classification_finie/figure/cezanne/cezanne/collage.svg create mode 100644 classification_finie/figure/cezanne/colage.png create mode 100644 classification_finie/figure/cezanne/collage.svg create mode 100644 classification_finie/figure/time/COMPAS.pdf create mode 100644 classification_finie/figure/time/LAW.pdf (limited to 'classification_finie') diff --git a/classification_finie/ba.tex b/classification_finie/ba.tex index 21e272c..ff0dacd 100644 --- a/classification_finie/ba.tex +++ b/classification_finie/ba.tex @@ -197,6 +197,7 @@ Bien qu'une \textit{balanced accuracy} égale à $\frac{1}{\#F}$ ne soit pas un En effet nous avons le resultat suivant : \begin{theorem} + \label{th:fini-bacca} En notant $BA(f)$ la \textit{balanced accuracy} de $f$. \begin{equation*} \forall f~BA(f)=\frac{1}{\#F} \iff @@ -262,7 +263,7 @@ En effet nous avons le resultat suivant : M_f(i,j) = P(f\circ X=y_i\mid Y=y_j) \end{equation*} Où $y_\square:\#F\rightarrow F$ est une bijection. - Alors la \textit{balanced accuracy} de $f$ est égale $\text{Tr}(M)$. + Alors la \textit{balanced accuracy} de $f$ est égale $\frac{\text{Tr}(M)}{\#F}$. $h_{z,z'}$ peut aussi s'exprimer en terme matriciel. La fonction suivainte est une bijection : \begin{equation*} diff --git a/classification_finie/figure/ba/COMPAS.pdf b/classification_finie/figure/ba/COMPAS.pdf new file mode 100644 index 0000000..0252902 Binary files /dev/null and b/classification_finie/figure/ba/COMPAS.pdf differ diff --git a/classification_finie/figure/ba/LAW.pdf b/classification_finie/figure/ba/LAW.pdf new file mode 100644 index 0000000..298a04e Binary files /dev/null and b/classification_finie/figure/ba/LAW.pdf differ diff --git a/classification_finie/figure/cezanne/cezanne/colage.png b/classification_finie/figure/cezanne/cezanne/colage.png new file mode 100644 index 0000000..ebe43f3 Binary files /dev/null and b/classification_finie/figure/cezanne/cezanne/colage.png differ diff --git a/classification_finie/figure/cezanne/cezanne/collage.svg b/classification_finie/figure/cezanne/cezanne/collage.svg new file mode 100644 index 0000000..2170529 --- /dev/null +++ b/classification_finie/figure/cezanne/cezanne/collage.svg @@ -0,0 +1,77 @@ + + + + diff --git a/classification_finie/figure/cezanne/colage.png b/classification_finie/figure/cezanne/colage.png new file mode 100644 index 0000000..ebe43f3 Binary files /dev/null and b/classification_finie/figure/cezanne/colage.png differ diff --git a/classification_finie/figure/cezanne/collage.svg b/classification_finie/figure/cezanne/collage.svg new file mode 100644 index 0000000..2170529 --- /dev/null +++ b/classification_finie/figure/cezanne/collage.svg @@ -0,0 +1,77 @@ + + + + diff --git a/classification_finie/figure/time/COMPAS.pdf b/classification_finie/figure/time/COMPAS.pdf new file mode 100644 index 0000000..b677e3a Binary files /dev/null and b/classification_finie/figure/time/COMPAS.pdf differ diff --git a/classification_finie/figure/time/LAW.pdf b/classification_finie/figure/time/LAW.pdf new file mode 100644 index 0000000..beb9fee Binary files /dev/null and b/classification_finie/figure/time/LAW.pdf differ diff --git a/classification_finie/main.tex b/classification_finie/main.tex index 91fdd27..901499a 100644 --- a/classification_finie/main.tex +++ b/classification_finie/main.tex @@ -1,2 +1,3 @@ \input{classification_finie/ba} \input{classification_finie/finit_classif} +\input{classification_finie/tabular} diff --git a/classification_finie/tabular.tex b/classification_finie/tabular.tex index ca2caaa..6112f77 100644 --- a/classification_finie/tabular.tex +++ b/classification_finie/tabular.tex @@ -1,12 +1,11 @@ -\FloatBarrier \begin{figure} \centering \begin{subfigure}{0.44\textwidth} - \includegraphics[width=\textwidth]{figure/ba/COMPAS.pdf} + \includegraphics[width=\textwidth]{classification_finie/figure/ba/COMPAS.pdf} \caption{COMPAS} \end{subfigure} \begin{subfigure}{0.44\textwidth} - \includegraphics[width=\textwidth]{figure/ba/LAW.pdf} + \includegraphics[width=\textwidth]{classification_finie/figure/ba/LAW.pdf} \caption{LAW} \end{subfigure} @@ -18,11 +17,11 @@ \begin{figure} \centering \begin{subfigure}{0.44\textwidth} - \includegraphics[width=\textwidth]{figure/time/COMPAS.pdf} + \includegraphics[width=\textwidth]{classification_finie/figure/time/COMPAS.pdf} \caption{COMPAS} \end{subfigure} \begin{subfigure}{0.44\textwidth} - \includegraphics[width=\textwidth]{figure/time/LAW.pdf} + \includegraphics[width=\textwidth]{classification_finie/figure/time/LAW.pdf} \caption{LAW} \end{subfigure} @@ -31,4 +30,9 @@ } \label{fig:time} \end{figure} -\FloatBarrier + +\begin{figure} + \centering + \includegraphics[width=\linewidth]{classification_finie/figure/cezanne/colage.png} + \caption{Classification du style des tableaux de Paul Cezanne}. +\end{figure} -- cgit v1.2.3