Ajout figures AIA

67 files changed, 240 insertions, 56 deletions

diff --git a/aia.tex b/aia.tex
index 76cb80e..6d4c129 100644
--- a/aia.tex
+++ b/aia.tex
@@ -1,3 +1,44 @@
+
+\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}
     \begin{definition}[DemParLvl]
         Soit $(\Omega,\mathcal{T},P$) un espace probabilisé.
@@ -110,3 +151,80 @@
         \label{fig:aia-data}
     \end{figure}
 \end{frame}
+
+\begin{frame}
+    \frametitle{Experimental validation on prediction: results}
+    \begin{figure}
+        \captionsetup{singlelinecheck=off}
+        \centering
+        \begin{subfigure}{0.4\textwidth}
+            \centering
+            \scriptsize
+            \begin{itemize}
+                \item \emph{Labeled Faces in the Wild (images)}
+                \item ML = Convolutional Neural Network 
+            \end{itemize}
+            \includegraphics[width=150px]{images/figures/advdebias/lfw/lfw_advdeb_attack_hard_sex.pdf}
+        \end{subfigure}
+        \hspace{0.1\textwidth}
+        \begin{subfigure}{0.4\textwidth}
+            \centering
+            \scriptsize
+            \begin{itemize}
+                \item \emph{COMPAS recidivism dataset (tabular)}
+                \item ML = Random Forest
+            \end{itemize}
+            \includegraphics[width=150px]{images/figures/advdebias/compas/compas_advdeb_attack_hard_sex.pdf}
+        \end{subfigure}
+    \end{figure}
+    \vspace{10px}
+
+    \scriptsize
+    \begin{tabular}{lll}
+        &\emph{Regularization}&\emph{Value}\\ 
+        \emph{Baseline}&None&Attack result\\
+        \emph{Theoretical}&Adversarial debiasing&$\frac{1}{2}(1+DemParLvl)$\\
+        \emph{Empirical}&Adversarial debiasing&Attack result\\
+    \end{tabular}
+\normalsize
+    \hspace{10px}
+Attack surface = $1_{[\tau,1]}\circ f\circ X$.
+\end{frame}
+
+\begin{frame}
+    \frametitle{Experimental validation on logit: results}
+    \begin{figure}
+        \captionsetup{singlelinecheck=off}
+        \centering
+        \begin{subfigure}{0.4\textwidth}
+            \centering
+            \scriptsize
+            \begin{itemize}
+                \item \emph{Labeled Faces in the Wild (images)}
+                \item ML = Convolutional Neural Network 
+            \end{itemize}
+            \includegraphics[width=150px]{images/figures/advdebias/lfw/lfw_advdeb_attack_soft_experimental_sex.pdf}
+        \end{subfigure}
+        \hspace{0.1\textwidth}
+        \begin{subfigure}{0.4\textwidth}
+            \centering
+            \scriptsize
+            \begin{itemize}
+                \item \emph{COMPAS recidivism dataset (tabular)}
+                \item ML = Random Forest
+            \end{itemize}
+            \includegraphics[width=150px]{images/figures/advdebias/compas/compas_advdeb_attack_soft_experimental_sex.pdf}
+        \end{subfigure}
+    \end{figure}
+    \vspace{10px}
+
+    \scriptsize
+    \begin{tabular}{lll}
+        &\emph{Regularization}&\emph{Value}\\ 
+        \emph{Baseline}&None&Attack result\\
+        \emph{AdvDebias}&Adversarial debiasing&Attack result\\
+    \end{tabular}
+\normalsize
+    \hspace{10px}
+Attack surface = $f\circ X$.
+\end{frame}
diff --git a/background.tex b/background.tex
index 1cc38d6..05b96b3 100644
--- a/background.tex
+++ b/background.tex
@@ -11,7 +11,7 @@
         \item $Y:(\Omega,\mathcal{T})\rightarrow (F,\mathcal{F})$ Les étiquettes
         \item $S:(\Omega,\mathcal{T})\rightarrow (G,\mathcal{G})$ L'attribut sensible
         \item $f:(E,\mathcal{E})\rightarrow (F,\mathcal{F})$ Le modèle d'apprentissag automatique
-        \item $\hat{Y}=f\circ X$ La prédiction
+        \item $\hat{Y}=f\circ X$ La sortie (prédiction, logit, etc.)
     \end{itemize}
 \end{frame}
 \begin{frame}
@@ -21,7 +21,7 @@
             P(f\circ X=Y)
         \end{equation*}
     \end{definition}
-
+    \pause
     \begin{definition}[Exactitude équilibrée\footnote{\textit{Balanced accuracy}}]
         \begin{equation*}
             \frac{1}{\#F}\sum_{i\in F}P(f\circ X=i\mid Y=i)
@@ -34,7 +34,7 @@
     \label{def:background-eq-dp}
         $\hat{Y}$ satisfait la \emph{parité démographique} pour $S$ si et seulement si : $\forall (y,s_1,s_2)\in F\times G\times G~P(\hat{Y}=y | S=s_1) = P(\hat{Y}=y | S=s_2)$.
     \end{definition}
-
+    \pause
     \begin{definition}
         \label{def:background-eq-eoo}
         $\hat{Y}$ satisfait l'\emph{équité des chances} pour $S$ si et seulement si : $\forall (\hat{y},y,s_1,s_2)\in E\times E\times G\times G \quad 
@@ -43,6 +43,17 @@
 \end{frame}
 
 \begin{frame}
+    \frametitle{Imposer l'équitée}
+    \emph{L'algorithme d'entraînement peut être modifié pour imposer l'équitée au modèle finale.}
+    \begin{itemize}
+        \item \textit{FairGrad: Fairness Aware Gradient Descent}, Gaurav Maheshwari and Michaël Perrot, 2022.
+        \item \textit{Mitigating Unwanted Biases with Adversarial Learning}, Brian Hu Zhang and Blake Lemoine and Margaret Mitchell, 2018.
+        \item \textit{Deep Learning with Differential Privacy},
+             Martín Abadi and Andy Chu and Ian Goodfellow, 2016.
+    \end{itemize}
+\end{frame}
+
+\begin{frame}
     \frametitle{Confidentialité : Inférence de l'appartenance (MIA)}
     \input{tikz/attack_mia}
 \end{frame}
@@ -50,11 +61,6 @@
     \frametitle{Confidentialité : Inférence d'un attribut sensible (AIA)}
     \input{tikz/attack}
 \end{frame}
-
-\begin{frame}
-    \frametitle{Intersection intre confidentialité et equitée}
-\end{frame}
-
 \begin{frame}
     \frametitle{Pourquoi se concentrer sur ces deux enjeux ?}
     \begin{itemize}
@@ -62,6 +68,56 @@
             \pause
         \item Deux notions capitales pour tous les aspects de l'IA.
             \pause
-        \item La confidentialité est uniquement étudiée sous l'angle de la MIA.
+        \item La confidentialité est surtout étudiée sous l'angle de la MIA.
     \end{itemize}
 \end{frame}
+
+\begin{frame}
+    \frametitle{Confidentialtié différentielle}
+    \begin{definition}[$\varepsilon,\delta$-DP]
+        Soit $\mathcal{D}$ un ensemble avec la relation $\sim$.
+        Soit $M$ une fonction sur $\mathcal{D}$.
+        On dit que $M$ satisfait $\varepsilon,\delta$-DP si et seulement si
+
+        \begin{equation}
+            \forall D\in\mathcal{D}~\forall D\in[D]_\sim~
+            P(M(D)\in S)\leq e^{\varepsilon}P(M(D')\in S)+\delta
+        \end{equation}
+    \end{definition}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Intersection entre confidentialité et equitée}
+    \begin{itemize}
+        \item  \emph{Il y a un compromis à faire entre équitée et MIA.}
+            \begin{itemize}
+                \item \textit{On the Privacy Risks of Algorithmic Fairness},
+                Hongyan Chang and Reza Shokri, 2021.
+                \item \textit{Differential Privacy Has Disparate Impact on Model Accuracy}, Eugene Bagdasaryan and Cornell Tech and Omid Poursaeed and Cornell Tech and Vitaly Shmatikov, 2019.
+            \end{itemize}
+        \pause
+        \item \emph{L'équitée et l'AIA présentent des similariées.}
+            \begin{itemize}
+                \item \textit{Mitigating Unwanted Biases with Adversarial Learning}, Brian Hu Zhang and Blake Lemoine and Margaret Mitchell, 2018.
+            \end{itemize}
+    \end{itemize}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Intuition}
+    \begin{figure}
+        \begin{subfigure}{0.4\textwidth}
+            \includegraphics[width=150px]{images/figures/before.pdf}
+            \caption{Avant rééquilibrage adverse\textsuperscript{1}}
+        \end{subfigure}
+        \begin{subfigure}{0.4\textwidth}
+            \includegraphics[width=150px]{images/figures/after.pdf}
+            \caption{Après rééquilibrage adverse}
+        \end{subfigure}
+    \end{figure}
+    \textit{Mitigating Unwanted Biases with Adversarial Learning}, Brian Hu Zhang and Blake Lemoine and Margaret Mitchell, 2018.
+
+    \vspace{50px} 
+    \footnotesize
+    \textsuperscript{1}\textit{Adversarial debiasing}
+\end{frame}
diff --git a/finie.tex b/finie.tex
index ea42988..171d23c 100644
--- a/finie.tex
+++ b/finie.tex
@@ -1,43 +1,23 @@
-
 \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}
+    \frametitle{Précisions sur l'AIA}
+    \begin{itemize}
+        \item 
+            Le modèle cible est 
+            $
+                f : E\rightarrow F
+            $
+            avec $\#F = m<\infty$.
+        \item
+            Le modèle d'attaque est 
+            $
+                a : F\rightarrow G
+            $
+            avec $\#G=n<\infty$.
+    \end{itemize}
 
-\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}
@@ -49,14 +29,14 @@
     Plan:
     \begin{enumerate}
         \item Problème introductif : Exactitude $P(Y=f\circ X)$
-        \item Exactitude équilibrée $\frac{1}{n}\sum_{i\in F}P(f\circ X=i|Y=i)$
+        \item Exactitude équilibrée $\frac{1}{n}\sum_{i\in G}P(f\circ X=i|Y=i)$
     \end{enumerate}
 \end{frame}
 \begin{frame}
     \frametitle{Classification finie}
     \begin{minipage}[t]{0.2\linewidth}
         \begin{tabular}{cc}
-        \textbf{X}&\textbf{Y}\\
+        \textbf{Y}&\textbf{S}\\
         0&$\bigcirc$\\
         2&$\times$\\
         1&$\bigcirc$\\
@@ -74,7 +54,7 @@
         \end{tabular}
     \end{minipage}
     \begin{minipage}[t]{0.75\linewidth}
-        On cherche une fonction $f$ de $E = \{0,1,2\}$ dans $F = \{\bigcirc,\bigtriangleup,\times\}$.
+        On cherche une fonction $a$ de $F = \{0,1,2\}$ dans $G = \{\bigcirc,\bigtriangleup,\times\}$.
         \\\vspace{0.5cm}\\
         Nous n'allons pas essayer les \emph{$3^3=27$ fonctions}.
         \\\vspace{0.5cm}\\
@@ -90,10 +70,10 @@
     \begin{theorem}
         L'application qui maximise l'éxactitude est  
     \begin{equation*}
-        f: \left\{
+        a: \left\{
             \begin{matrix}
-                E\rightarrow F\\
-                e\mapsto \text{argmax}_{i\in F} P(Y=i|X=e)
+                F\rightarrow G\\
+                e\mapsto \text{argmax}_{i\in G} P(S=i|Y=e)
             \end{matrix}
             \right.
     \end{equation*}
@@ -116,10 +96,10 @@
     \begin{theorem}
         L'application qui maximise l'exactitude équilibrée est 
         \begin{equation*}
-            f:\left\{
+            a:\left\{
                 \begin{matrix}
-                    E \rightarrow F\\
-                    e\mapsto \text{argmax}_{i\in F}P(X=e|Y=i)
+                    F \rightarrow G\\
+                    e\mapsto \text{argmax}_{i\in G}P(Y=e|S=i)
                 \end{matrix}
                 \right.
         \end{equation*}
diff --git a/images/figures/advdebias/census/census_advdeb_attack_hard_race.pdf b/images/figures/advdebias/census/census_advdeb_attack_hard_race.pdf
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diff --git a/images/figures/advdebias/census/census_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/census/census_advdeb_attack_hard_sex.pdf
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diff --git a/images/figures/advdebias/census/census_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/census/census_advdeb_attack_soft_experimental_race.pdf
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+++ b/images/figures/advdebias/census/census_advdeb_attack_soft_experimental_race.pdf
diff --git a/images/figures/advdebias/census/census_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/census/census_advdeb_attack_soft_experimental_sex.pdf
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diff --git a/images/figures/advdebias/census/census_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/census/census_advdeb_dp_lvl_race.pdf
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diff --git a/images/figures/advdebias/census/census_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/census/census_advdeb_dp_lvl_sex.pdf
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diff --git a/images/figures/advdebias/census/census_advdeb_utility.pdf b/images/figures/advdebias/census/census_advdeb_utility.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_attack_hard_race.pdf b/images/figures/advdebias/census/old_format/census_advdeb_attack_hard_race.pdf
new file mode 100644
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/census/old_format/census_advdeb_attack_hard_sex.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/census/old_format/census_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/census/old_format/census_advdeb_attack_soft_experimental_sex.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/census/old_format/census_advdeb_dp_lvl_race.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/census/old_format/census_advdeb_dp_lvl_sex.pdf
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diff --git a/images/figures/advdebias/census/old_format/census_advdeb_utility.pdf b/images/figures/advdebias/census/old_format/census_advdeb_utility.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_attack_hard_race.pdf b/images/figures/advdebias/compas/compas_advdeb_attack_hard_race.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/compas/compas_advdeb_attack_hard_sex.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/compas/compas_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/compas/compas_advdeb_attack_soft_experimental_sex.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/compas/compas_advdeb_dp_lvl_race.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/compas/compas_advdeb_dp_lvl_sex.pdf
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diff --git a/images/figures/advdebias/compas/compas_advdeb_utility.pdf b/images/figures/advdebias/compas/compas_advdeb_utility.pdf
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diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_attack_hard_race.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_attack_hard_race.pdf
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diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_attack_hard_sex.pdf
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diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_attack_soft_experimental_sex.pdf
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diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_race.pdf
new file mode 100644
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+++ b/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_race.pdf
diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_sex.pdf
new file mode 100644
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+++ b/images/figures/advdebias/compas/old_format/compas_advdeb_dp_lvl_sex.pdf
diff --git a/images/figures/advdebias/compas/old_format/compas_advdeb_utility.pdf b/images/figures/advdebias/compas/old_format/compas_advdeb_utility.pdf
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+++ b/images/figures/advdebias/compas/old_format/compas_advdeb_utility.pdf
diff --git a/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_race.pdf b/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_race.pdf
new file mode 100644
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+++ b/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_race.pdf
diff --git a/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_sex.pdf
new file mode 100644
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+++ b/images/figures/advdebias/lfw/lfw_advdeb_attack_hard_sex.pdf
diff --git a/images/figures/advdebias/lfw/lfw_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/lfw/lfw_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/lfw/lfw_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/lfw/lfw_advdeb_attack_soft_experimental_sex.pdf
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diff --git a/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_race.pdf
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+++ b/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_race.pdf
diff --git a/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_sex.pdf
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+++ b/images/figures/advdebias/lfw/lfw_advdeb_dp_lvl_sex.pdf
diff --git a/images/figures/advdebias/lfw/lfw_advdeb_utility.pdf b/images/figures/advdebias/lfw/lfw_advdeb_utility.pdf
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+++ b/images/figures/advdebias/lfw/lfw_advdeb_utility.pdf
diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_hard_race.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_hard_race.pdf
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diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_hard_sex.pdf
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diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_soft_experimental_sex.pdf
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+++ b/images/figures/advdebias/lfw/old_format/lfw_advdeb_attack_soft_experimental_sex.pdf
diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_dp_lvl_race.pdf
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diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_dp_lvl_sex.pdf
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diff --git a/images/figures/advdebias/lfw/old_format/lfw_advdeb_utility.pdf b/images/figures/advdebias/lfw/old_format/lfw_advdeb_utility.pdf
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+++ b/images/figures/advdebias/lfw/old_format/lfw_advdeb_utility.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_attack_hard_race.pdf b/images/figures/advdebias/meps/meps_advdeb_attack_hard_race.pdf
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index 0000000..f127522
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+++ b/images/figures/advdebias/meps/meps_advdeb_attack_hard_race.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/meps/meps_advdeb_attack_hard_sex.pdf
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+++ b/images/figures/advdebias/meps/meps_advdeb_attack_hard_sex.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/meps/meps_advdeb_attack_soft_experimental_race.pdf
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diff --git a/images/figures/advdebias/meps/meps_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/meps/meps_advdeb_attack_soft_experimental_sex.pdf
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+++ b/images/figures/advdebias/meps/meps_advdeb_attack_soft_experimental_sex.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/meps/meps_advdeb_dp_lvl_race.pdf
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+++ b/images/figures/advdebias/meps/meps_advdeb_dp_lvl_race.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/meps/meps_advdeb_dp_lvl_sex.pdf
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index 0000000..feee72c
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+++ b/images/figures/advdebias/meps/meps_advdeb_dp_lvl_sex.pdf
diff --git a/images/figures/advdebias/meps/meps_advdeb_utility.pdf b/images/figures/advdebias/meps/meps_advdeb_utility.pdf
new file mode 100644
index 0000000..4ed4f87
--- /dev/null
+++ b/images/figures/advdebias/meps/meps_advdeb_utility.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_race.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_race.pdf
new file mode 100644
index 0000000..ec398e9
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+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_race.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_sex.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_sex.pdf
new file mode 100644
index 0000000..40b080f
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_hard_sex.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_race.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_race.pdf
new file mode 100644
index 0000000..8c51e72
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_race.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_sex.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_sex.pdf
new file mode 100644
index 0000000..5791e29
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_attack_soft_experimental_sex.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_race.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_race.pdf
new file mode 100644
index 0000000..0b10830
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_race.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_sex.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_sex.pdf
new file mode 100644
index 0000000..5145848
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_dp_lvl_sex.pdf
diff --git a/images/figures/advdebias/meps/old_format/meps_advdeb_utility.pdf b/images/figures/advdebias/meps/old_format/meps_advdeb_utility.pdf
new file mode 100644
index 0000000..ab1e523
--- /dev/null
+++ b/images/figures/advdebias/meps/old_format/meps_advdeb_utility.pdf
diff --git a/images/figures/after.pdf b/images/figures/after.pdf
new file mode 100644
index 0000000..79b48ca
--- /dev/null
+++ b/images/figures/after.pdf
diff --git a/images/figures/before.pdf b/images/figures/before.pdf
new file mode 100644
index 0000000..4dc956e
--- /dev/null
+++ b/images/figures/before.pdf
diff --git a/images/figures/synth/aia.pdf b/images/figures/synth/aia.pdf
new file mode 100644
index 0000000..3510fa9
--- /dev/null
+++ b/images/figures/synth/aia.pdf
diff --git a/images/figures/synth/mia.pdf b/images/figures/synth/mia.pdf
new file mode 100644
index 0000000..58b81ae
--- /dev/null
+++ b/images/figures/synth/mia.pdf
diff --git a/images/figures/synth/utility.pdf b/images/figures/synth/utility.pdf
new file mode 100644
index 0000000..2359440
--- /dev/null
+++ b/images/figures/synth/utility.pdf
diff --git a/main.pdf b/main.pdf
index fecfd50..3433dd6 100644
--- a/main.pdf
+++ b/main.pdf
diff --git a/main.tex b/main.tex
index 0552057..b92e7c9 100644
--- a/main.tex
+++ b/main.tex
@@ -1,5 +1,8 @@
 \documentclass[aspectratio=169]{beamer}
 
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+
 \newtheorem{propriete}{Propriété}
 
 \usepackage[french]{babel}
@@ -65,7 +68,7 @@
     %    \tiny
         %\insertframenumber
     %\end{textblock*}
-    \begin{textblock*}{\paperwidth}(405pt,24pt)
+    \begin{textblock*}{\paperwidth}(400pt,24pt)
         \tiny
         \textcolor{white}{\insertframenumber/\inserttotalframenumber}
     \end{textblock*}
diff --git a/synth.tex b/synth.tex
index 430c1e0..5d3c2f7 100644
--- a/synth.tex
+++ b/synth.tex
@@ -5,3 +5,30 @@
         \label{fig:synth-split}
     \end{figure}
 \end{frame}
+
+\begin{frame}
+    \frametitle{Résultats préliminaires : impact des données synthétiques}
+    \begin{figure}
+        \begin{subfigure}{0.3\textwidth}
+            \includegraphics[width=\linewidth]{images/figures/synth/utility.pdf}
+            \caption{Utilité}
+        \end{subfigure}
+        \begin{subfigure}{0.3\textwidth}
+            \includegraphics[width=\linewidth]{images/figures/synth/mia.pdf}
+            \caption{MIA}
+        \end{subfigure}
+        \begin{subfigure}{0.3\textwidth}
+            \includegraphics[width=\linewidth]{images/figures/synth/aia.pdf}
+            \caption{AIA}
+        \end{subfigure}
+        \caption{Recensement USA (ADULT). Prédiction du salaire ($>\$50K$).}
+    \end{figure}
+\end{frame}
+
+\begin{frame}
+    \begin{figure}
+    \centering
+    \input{tikz/synth/data_cor}
+        \label{fig:synth-split}
+    \end{figure}
+\end{frame}