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authorJan Aalmoes <jan.aalmoes@inria.fr>2024-11-07 11:36:14 +0100
committerJan Aalmoes <jan.aalmoes@inria.fr>2024-11-07 11:36:14 +0100
commit8bbc035c904791895e2f55245348b9f27af8ea9b (patch)
tree0332d03c55c27d80095ae5338425ff96c1bb123a
initial commit
-rw-r--r--aia.tex3
-rw-r--r--finie.tex52
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diff --git a/aia.tex b/aia.tex
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+\begin{frame}
+hello
+\end{frame}
diff --git a/finie.tex b/finie.tex
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+\begin{frame}
+ \frametitle{Etude des CCA}
+ \begin{definition}
+ Un CCA est un classifieur ayant une \emph{prédiction indépendante de l'étiquette}.
+ C'est-à-dire que pour un classifieur $f: E\rightarrow F$.
+ Avec une étiquette $Y:\Omega\rightarrow F$
+ et une entrée $X:\Omega\rightarrow E$.
+ Alors pour $\hat{Y}=f\circ X$, nous avons
+ \emph{$P_{(Y,\hat{Y})} = P_Y\otimes P_{\hat{Y}}$}
+ \end{definition}
+ \pause
+ \begin{lemma}
+ \label{lemme:aia-xycca}
+ Soit $(\Omega,\mathcal{T},P)$ un espace probabilisé.
+ Soient $X:(\Omega,\mathcal{T}) \rightarrow (E,\mathcal{E})$ et $Y:\Omega \rightarrow (F,\mathcal{F})$ des variables aléatoires.
+ Les deux propositions suivantes sont équivalentes :
+ \begin{enumerate}
+ \item $P_{(X,Y)} = P_X\otimes P_Y$.
+ \item Toute fonction mesurable $f:(E,\mathcal{T})\rightarrow (F,\mathcal{F})$ est un CCA pour prédire $Y$ à partir de $X$.
+ \end{enumerate}
+ \end{lemma}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Etude des CCA}
+ \begin{propriete}
+ \label{prop:CCA_BA}
+ Les CCA ayant comme image $ F$ ont une exactitude équilibrée égale à $\frac{1}{\# F}$.
+ \end{propriete}
+ \pause
+ \begin{theorem}
+ \label{th:fini-bacca}
+ En notant $BA(f)$ l'exactitude équilibrée de $f$.
+ \begin{equation*}
+ \forall f~BA(f)=\frac{1}{\#F} \iff
+ \forall f~\text{$f$ est un CCA}
+ \end{equation*}
+ \end{theorem}
+\end{frame}
+\begin{frame}
+ \frametitle{Nouvelle contribution : Classification finie}
+ \input{tikz/ef}
+ \vspace{20px}
+ $n^m$ applications à essayer !\\
+ \vspace{20px}
+ Plan:
+ \begin{itemize}
+ \item Problème introductif : Accuracy $P(Y=f\circ X)$
+ \item Balanced accuracy (plus dure !) $\frac{1}{n}\sum_{i\in F}P(f\circ X=i|Y=i)$
+ \item ?
+ \end{itemize}
+\end{frame}
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new file mode 100755
index 0000000..30cf44f
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+ <xmpMM:InstanceID>uuid:0285f3f4-3d08-8a4d-b7a1-496764b9efe9</xmpMM:InstanceID>
+ <xmpMM:OriginalDocumentID>uuid:F8F4CE92675CE0118929C679B0FB7E62</xmpMM:OriginalDocumentID>
+ <xmpMM:RenditionClass>proof:pdf</xmpMM:RenditionClass>
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+ <stRef:instanceID>uuid:942cc2c6-1b1a-7740-95da-c734532a5155</stRef:instanceID>
+ <stRef:documentID>xmp.did:b76c5bfa-3fdd-48c3-ba3e-702c618bfd7c</stRef:documentID>
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+ </xmpMM:DerivedFrom>
+ <xmpMM:History>
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+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118A6DF7D59A072218</stEvt:instanceID>
+ <stEvt:when>2012-01-10T14:52:37+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-03-14T17:28:51+01:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-17T17:22:08+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118A6DE3187DF50ADA</stEvt:instanceID>
+ <stEvt:when>2012-04-18T13:59:24+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-18T14:00:04+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>converted</stEvt:action>
+ <stEvt:parameters>from application/postscript to application/vnd.adobe.illustrator</stEvt:parameters>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>converted</stEvt:action>
+ <stEvt:parameters>from application/postscript to application/vnd.adobe.illustrator</stEvt:parameters>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-18T14:17:20+02:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118C14BCD8FA6B31FC</stEvt:instanceID>
+ <stEvt:when>2012-05-22T16:34:57+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118C14FFDBDFBE21D8</stEvt:instanceID>
+ <stEvt:when>2012-10-25T14:56:07+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118C14F1D62F0607AB</stEvt:instanceID>
+ <stEvt:when>2012-10-30T14:53:29+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:24B8B5B6552068118A6DAE93794406D0</stEvt:instanceID>
+ <stEvt:when>2012-11-14T19:18:22+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:5E2527DF392068118A6DC9D19A3FBDA4</stEvt:instanceID>
+ <stEvt:when>2012-11-15T16:01:54+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
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+ </rdf:li>
+ </rdf:Alt>
+ </xmp:Thumbnails>
+ <xmpMM:DocumentID>xmp.did:c8d0a58b-0fab-4076-aa5e-db9813d2d223</xmpMM:DocumentID>
+ <xmpMM:InstanceID>uuid:cd6ee9d4-8445-db47-8184-609f8d1cc85e</xmpMM:InstanceID>
+ <xmpMM:OriginalDocumentID>uuid:F8F4CE92675CE0118929C679B0FB7E62</xmpMM:OriginalDocumentID>
+ <xmpMM:RenditionClass>proof:pdf</xmpMM:RenditionClass>
+ <xmpMM:DerivedFrom rdf:parseType="Resource">
+ <stRef:instanceID>xmp.iid:40b65777-9415-45f9-ab68-0f8b7bb8d2ae</stRef:instanceID>
+ <stRef:documentID>xmp.did:40b65777-9415-45f9-ab68-0f8b7bb8d2ae</stRef:documentID>
+ <stRef:originalDocumentID>uuid:F8F4CE92675CE0118929C679B0FB7E62</stRef:originalDocumentID>
+ <stRef:renditionClass>proof:pdf</stRef:renditionClass>
+ </xmpMM:DerivedFrom>
+ <xmpMM:History>
+ <rdf:Seq>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118A6DF7D59A072218</stEvt:instanceID>
+ <stEvt:when>2012-01-10T14:52:37+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F97F1174072068118A6DEC3006152703</stEvt:instanceID>
+ <stEvt:when>2012-03-14T17:28:51+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118A6DA34251EC1D1D</stEvt:instanceID>
+ <stEvt:when>2012-04-17T17:22:08+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118A6DE3187DF50ADA</stEvt:instanceID>
+ <stEvt:when>2012-04-18T13:59:24+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118A6DE3187DF50ADA</stEvt:instanceID>
+ <stEvt:when>2012-04-18T14:00:04+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>converted</stEvt:action>
+ <stEvt:parameters>from application/postscript to application/vnd.adobe.illustrator</stEvt:parameters>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>converted</stEvt:action>
+ <stEvt:parameters>from application/postscript to application/vnd.adobe.illustrator</stEvt:parameters>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:FD7F1174072068118A6DE3187DF50ADA</stEvt:instanceID>
+ <stEvt:when>2012-04-18T14:17:20+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118C14BCD8FA6B31FC</stEvt:instanceID>
+ <stEvt:when>2012-05-22T16:34:57+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118C14FFDBDFBE21D8</stEvt:instanceID>
+ <stEvt:when>2012-10-25T14:56:07+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118C14F1D62F0607AB</stEvt:instanceID>
+ <stEvt:when>2012-10-30T14:53:29+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:24B8B5B6552068118A6DAE93794406D0</stEvt:instanceID>
+ <stEvt:when>2012-11-14T19:18:22+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:5E2527DF392068118A6DC9D19A3FBDA4</stEvt:instanceID>
+ <stEvt:when>2012-11-15T16:01:54+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118C14908E2686B555</stEvt:instanceID>
+ <stEvt:when>2012-12-06T10:52:22+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
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+ <xmpMM:OriginalDocumentID>uuid:F8F4CE92675CE0118929C679B0FB7E62</xmpMM:OriginalDocumentID>
+ <xmpMM:RenditionClass>proof:pdf</xmpMM:RenditionClass>
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+ <stEvt:action>saved</stEvt:action>
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+ </rdf:li>
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+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
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+ </rdf:li>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-10-30T14:53:29+01:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-11-15T16:01:54+01:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-12-06T10:52:22+01:00</stEvt:when>
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+ <xmpMM:OriginalDocumentID>uuid:F8F4CE92675CE0118929C679B0FB7E62</xmpMM:OriginalDocumentID>
+ <xmpMM:RenditionClass>proof:pdf</xmpMM:RenditionClass>
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+ <stRef:renditionClass>proof:pdf</stRef:renditionClass>
+ </xmpMM:DerivedFrom>
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+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
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+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-18T13:59:24+02:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-18T14:00:04+02:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>converted</stEvt:action>
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+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
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+ <stEvt:parameters>from application/postscript to application/vnd.adobe.illustrator</stEvt:parameters>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-04-18T14:17:20+02:00</stEvt:when>
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+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-05-22T16:34:57+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
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+ <stEvt:when>2012-10-25T14:56:07+02:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F87F1174072068118C14F1D62F0607AB</stEvt:instanceID>
+ <stEvt:when>2012-10-30T14:53:29+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:24B8B5B6552068118A6DAE93794406D0</stEvt:instanceID>
+ <stEvt:when>2012-11-14T19:18:22+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:5E2527DF392068118A6DC9D19A3FBDA4</stEvt:instanceID>
+ <stEvt:when>2012-11-15T16:01:54+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
+ <stEvt:action>saved</stEvt:action>
+ <stEvt:instanceID>xmp.iid:F77F1174072068118C14908E2686B555</stEvt:instanceID>
+ <stEvt:when>2012-12-06T10:52:22+01:00</stEvt:when>
+ <stEvt:softwareAgent>Adobe Illustrator CS5.1</stEvt:softwareAgent>
+ <stEvt:changed>/</stEvt:changed>
+ </rdf:li>
+ <rdf:li rdf:parseType="Resource">
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new file mode 100755
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diff --git a/images/soutenance/images/soutenance/images/soutenance/images/ckoi/gafam.png b/images/soutenance/images/soutenance/images/soutenance/images/ckoi/gafam.png
new file mode 100644
index 0000000..616b8c0
--- /dev/null
+++ b/images/soutenance/images/soutenance/images/soutenance/images/ckoi/gafam.png
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diff --git a/images/tikz/ckoi/function.tex b/images/tikz/ckoi/function.tex
new file mode 100644
index 0000000..93d2a58
--- /dev/null
+++ b/images/tikz/ckoi/function.tex
@@ -0,0 +1,14 @@
+\begin{tikzpicture}
+ \node[rectangle,draw] (ia) at (0,0) {IA};
+ \node (ent) at (-2,0) {Entrée};
+ \node (sor) at (2,0) {Sorties};
+ \node (par) at (0,-1) {Paramètres};
+
+ \draw[->] (ent) to (ia);
+ \draw[->] (ia) to (sor);
+ \draw[->] (par) to (ia);
+
+ \node[align=left] (par) at (4,0) {Prédiction\\Décision\\Contenu};
+ \draw [decorate,decoration = {brace}] (3,-0.6) -- (3,0.6);
+
+\end{tikzpicture}
diff --git a/main.pdf b/main.pdf
new file mode 100644
index 0000000..87c965f
--- /dev/null
+++ b/main.pdf
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diff --git a/main.tex b/main.tex
new file mode 100644
index 0000000..e05c724
--- /dev/null
+++ b/main.tex
@@ -0,0 +1,140 @@
+\documentclass[aspectratio=169]{beamer}
+
+\newtheorem{propriete}{Propriété}
+
+\usepackage[french]{babel}
+
+%Configuration des couleurs
+\usepackage[dvipsnames]{xcolor}
+\definecolor{principale}{RGB}{203, 127, 60}
+\definecolor{bonus}{RGB}{86, 38, 18}
+\definecolor{accent}{RGB}{198, 68, 9}
+\definecolor{background-light}{RGB}{248, 240, 221}
+\definecolor{background-dark}{RGB}{235, 211, 175}
+
+\setbeamertemplate{navigation symbols}{}
+\setbeamercolor{frametitle}{fg=bonus}
+\setbeamercolor{caption name}{fg=principale}
+\setbeamercolor{enumerate item}{fg=principale}
+\setbeamercolor{itemize item}{fg=principale}
+\setbeamercolor{itemize subitem}{fg=principale}
+\setbeamertemplate{itemize item}{}
+\setbeamertemplate{itemize subitem}{$\circ$}
+\setbeamercolor{itemize/enumerate body}{fg=bonus}
+
+%Couleurs des blocks (théorème, définitions ...)
+\AtBeginEnvironment{definition}{
+ \setbeamercolor{block body}{fg=bonus, bg=background-light}
+ \setbeamercolor{block title}{fg=principale, bg=background-dark}
+}
+
+\AtBeginEnvironment{lemma}{
+ \setbeamercolor{block body}{fg=bonus, bg=background-light}
+ \setbeamercolor{block title}{fg=principale, bg=background-dark}
+}
+
+\AtBeginEnvironment{propriete}{
+ \setbeamercolor{block body}{fg=bonus, bg=background-light}
+ \setbeamercolor{block title}{fg=principale, bg=background-dark}
+}
+
+\AtBeginEnvironment{theorem}{
+ \setbeamercolor{block body}{fg=bonus, bg=background-light}
+ \setbeamercolor{block title}{fg=principale, bg=background-dark}
+}
+%Configuration du \frametitle
+\usepackage{textpos}
+\addtobeamertemplate{frametitle}{
+ %\bfseries
+ \begin{textblock*}{\paperwidth}(-24pt,2pt)
+ \includegraphics[width=0.98\paperwidth]{images/background/frametitle.pdf}
+ \end{textblock*}
+ %\begin{textblock*}{\paperwidth}(40pt,10pt)
+ % \tiny
+ %\insertframenumber
+ %\end{textblock*}
+ \begin{textblock*}{\paperwidth}(405pt,24pt)
+ \tiny
+ \textcolor{white}{\insertframenumber/\inserttotalframenumber}
+ \end{textblock*}
+}
+
+%Configure de l'emphase
+\let\emph\relax
+\DeclareTextFontCommand{\emph}{\bfseries\color{accent}\em}
+
+\usepackage{graphicx}
+\usepackage{subcaption}
+\usepackage[french]{babel}
+\usepackage{csquotes}
+
+%Configure tikz
+\usepackage{tikz}
+\usetikzlibrary{math}
+\usetikzlibrary {shapes.geometric}
+\usetikzlibrary {shapes.symbols}
+\usetikzlibrary{decorations.pathreplacing}
+
+
+%Traduction des environements
+\deftranslation[to=french]{Theorem}{Théorème}
+\deftranslation[to=french]{Lemma}{Lemme}
+\deftranslation[to=french]{Definition}{Définition}
+
+\begin{document}
+
+%Couleur pour tout le document
+\color{bonus}
+
+\begin{frame}[plain]
+\begin{center}
+\includegraphics[width=100px]{images/logo/insa/Logo_INSALyon-pantone.pdf}
+\hspace{50px}
+\includegraphics[width=100px]{images/logo/inria/LOGOS_pack_global/pdf/inr_logo_rouge_rvb.pdf}
+
+\vspace{10px}
+\LARGE
+\textcolor{principale}{\textbf{IA pour des services moraux : concilier équité et confidentialité}}
+\vspace{10px}
+
+\Large
+\textcolor{bonus}{Thèse soutenue par Jan Aalmoes le 13 décembre 2024}
+
+\vspace{10px}
+\footnotesize
+\begin{tabular}{lll}
+ALLARD&Tristan&\textcolor{accent}{Rapporteur}\\
+SIHEM&Amer-Yahia&\textcolor{accent}{Rapporteur}\\
+BOUCHENAK&Sara&\textcolor{accent}{Examinatrice} \\
+HUGUET&Marie-José&\textcolor{accent}{Examinatrice}\\
+RUDAMETKIN&Walter&\textcolor{accent}{Examinateur}\\
+PERROT&Michael&\textcolor{accent}{Examinateur}\\
+BOUTET&Antoine&\textcolor{accent}{Examinateur}\\
+&&\\
+CUNCHE&Mathieu&\textcolor{accent}{Directeur de thèse}\\
+BOUTET&Antoine&\textcolor{accent}{Co-encadrant de thèse}\\
+\end{tabular}
+\end{center}
+\end{frame}
+
+\section{Introduction}
+\input{ckoi}
+
+\section{Classification finie}
+\input{finie}
+
+\section{Inférence d'attribut sensible}
+\input{aia}
+
+\section{Données synthétiques}
+\input{synth}
+
+\begin{frame}
+ \frametitle{Coucou}
+ qsdflkjqsdflkqsdlfk
+ \begin{theorem}
+ Si $a\leq b$ et $a\geq b$ alors $a=b$
+ \end{theorem}
+\end{frame}
+
+\end{document}
diff --git a/synth.tex b/synth.tex
new file mode 100644
index 0000000..a67b4d1
--- /dev/null
+++ b/synth.tex
@@ -0,0 +1,3 @@
+\begin{frame}
+hello
+\end{frame}
diff --git a/tikz/4att.tex b/tikz/4att.tex
new file mode 100644
index 0000000..009b58a
--- /dev/null
+++ b/tikz/4att.tex
@@ -0,0 +1,20 @@
+\begin{tikzpicture}
+
+ \def \h{4}
+ \def \s{1}
+
+ \draw (0,0) rectangle (\h,\h);
+ \node (a) at (1,1) {$id$};
+
+ \draw (\h+\s,0) rectangle (2*\h+\s,\h);
+ \node (a) at (1,1) {$1-id$};
+
+ \draw (0,\h+\s) rectangle (\h,2*\h+\s);
+ \node (a) at (1,1) {$0$};
+
+ \draw (\h+\s,\h+\s) rectangle (2*\h+\s,2*\h+\s);
+ \node (a) at (1,1) {$1$};
+
+
+\end{tikzpicture}
+
diff --git a/tikz/attack.tex b/tikz/attack.tex
new file mode 100644
index 0000000..14c605e
--- /dev/null
+++ b/tikz/attack.tex
@@ -0,0 +1,37 @@
+\begin{tikzpicture}
+
+ \def \h{-2}
+
+ %Donnée utilisateur
+ \node[color=gray] (ludata) at (0,1) {Donnée utilisateur};
+ \node (udata) at (0,-0.36) {};
+ \draw[color=gray] (-4,0.5) rectangle (4,-0.5);
+ \node[rectangle,draw] (x) at (-2,0) {Donnée d'entrée};
+ \node[rectangle,draw=red] (s) at (2,0) {Attribut sensible};
+
+ %Modèle cible
+ \draw[color=gray] (-4.5,\h+0.5) rectangle (1.5,\h-2);
+ \node[color=gray] (lmcible) at (-1.5,\h-2.5) {Modèle cible};
+
+ %Pipeline
+ \node[rectangle,draw] (model) at (0,\h) {Modèle};
+ \node[rectangle,draw=blue] (inf) at (0,\h-1) {Classification};
+ \node[rectangle,draw] (train) at (-3,\h) {Entrainement};
+
+ \draw[->] (udata) to (model);
+ \draw[->] (model) to (inf);
+ \draw[->] (train) to (model);
+
+ %Attaque
+ \node[rectangle,draw=blue] (att) at (5,\h) {Attaque};
+
+ %\draw[->,color=blue] (x) to (att);
+ %\draw[->,color=blue] (model) to (att);
+ \draw[->,color=blue] (inf) to (att);
+ \draw[->,color=red] (att) to (s);
+
+
+ %\draw[color=red] (-2,0.5) rectangle (2,-0.5);
+ %\node[color=red] (cible) at (0,1) {Cible de l'attaque};
+\end{tikzpicture}
+
diff --git a/tikz/bin.tex b/tikz/bin.tex
new file mode 100644
index 0000000..8bfb576
--- /dev/null
+++ b/tikz/bin.tex
@@ -0,0 +1,18 @@
+\begin{tikzpicture}
+
+ \def \h{4}
+
+ %Donnée utilisateur
+ \node[rectangle,draw=red] (s) at (2*\h,0) {Attribut sensible};
+
+ %Pipeline
+ \node[rectangle,draw=blue] (inf) at (0,0) {Classification};
+
+ %Attaque
+ \node[rectangle,draw=blue] (att) at (\h,0) {Attaque};
+
+ \draw[->,color=blue] (inf) to (att);
+ \draw[->,color=red] (att) to (s);
+
+\end{tikzpicture}
+
diff --git a/tikz/bin_ens.tex b/tikz/bin_ens.tex
new file mode 100644
index 0000000..3f66af5
--- /dev/null
+++ b/tikz/bin_ens.tex
@@ -0,0 +1,31 @@
+\begin{tikzpicture}
+
+ \def \h{4}
+
+ %Pipeline
+ \node[rectangle,draw=red] (s) at (2*\h,0) {Attribut sensible};
+ \node[rectangle,draw=blue] (inf) at (0,0) {Classification};
+ \node[rectangle,draw=blue] (att) at (\h,0) {Attaque};
+ \draw[->,color=blue] (inf) to (att);
+ \draw[->,color=red] (att) to (s);
+
+ %Ensembles
+ \node (c0) at (0,1) {$0$};
+ \node (c1) at (0,2) {$1$};
+ \node (c2) at (0,3) {$0$};
+ \node (c3) at (0,4) {$\vdots$};
+
+ \node (a0) at (2*\h,1) {$1$};
+ \node (a1) at (2*\h,2) {$0$};
+ \node (a2) at (2*\h,3) {$1$};
+ \node (a3) at (2*\h,4) {$\vdots$};
+
+ \draw[->] (c0) to (a0);
+ \draw[->] (c1) to (a1);
+ \draw[->] (c2) to (a2);
+ \draw[->] (c3) to (a3);
+
+
+
+\end{tikzpicture}
+
diff --git a/tikz/ef.tex b/tikz/ef.tex
new file mode 100644
index 0000000..9604d97
--- /dev/null
+++ b/tikz/ef.tex
@@ -0,0 +1,22 @@
+\begin{tikzpicture}
+
+ \def \h{4}
+
+ %Pipeline
+ \node[rectangle,draw=red] (s) at (2*\h,0) {Attribut sensible};
+ \node[rectangle,draw=blue] (inf) at (0,0) {Classification};
+ \node[rectangle,draw=blue] (att) at (\h,0) {Attaque};
+ \draw[->,color=blue] (inf) to (att);
+ \draw[->,color=red] (att) to (s);
+
+ %Ensembles
+ \node (c0) at (0,1) {$E=\{0,\cdots,m-1\}$};
+
+ \node (a0) at (2*\h,1) {$F=\{0,\cdots,n-1\}$};
+
+ \draw[->] (c0) to (a0);
+
+
+
+\end{tikzpicture}
+
diff --git a/tikz/nobin_ens.tex b/tikz/nobin_ens.tex
new file mode 100644
index 0000000..4bb041f
--- /dev/null
+++ b/tikz/nobin_ens.tex
@@ -0,0 +1,31 @@
+\begin{tikzpicture}
+
+ \def \h{4}
+
+ %Pipeline
+ \node[rectangle,draw=red] (s) at (2*\h,0) {Attribut sensible};
+ \node[rectangle,draw=blue] (inf) at (0,0) {Classification};
+ \node[rectangle,draw=blue] (att) at (\h,0) {Attaque};
+ \draw[->,color=blue] (inf) to (att);
+ \draw[->,color=red] (att) to (s);
+
+ %Ensembles
+ \node (c0) at (0,1) {$0$};
+ \node (c1) at (0,2) {$1$};
+ \node (c2) at (0,3) {$2$};
+ \node (c3) at (0,4) {$\vdots$};
+
+ \node (a0) at (2*\h,1) {$853$};
+ \node (a1) at (2*\h,2) {$22$};
+ \node (a2) at (2*\h,3) {$312$};
+ \node (a3) at (2*\h,4) {$\vdots$};
+
+ \draw[->] (c0) to (a0);
+ \draw[->] (c1) to (a1);
+ \draw[->] (c2) to (a2);
+ \draw[->] (c3) to (a3);
+
+
+
+\end{tikzpicture}
+