diff --git a/content/ia/3_deep_learning/images/transformation.svg b/content/ia/3_deep_learning/images/transformation.svg
new file mode 100644
index 0000000..1821569
--- /dev/null
+++ b/content/ia/3_deep_learning/images/transformation.svg
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diff --git a/content/ia/3_deep_learning/index.md b/content/ia/3_deep_learning/index.md
index 80fb394..bb9d484 100644
--- a/content/ia/3_deep_learning/index.md
+++ b/content/ia/3_deep_learning/index.md
@@ -99,10 +99,38 @@ D'un neurone vers l'infini...
 
 ![Exemple d'un réseau de neurones](./images/reseau_neurones.svg)
 
-Dans un réseau de neurones, chacune a son propre poid et biais, les paramètres
+Dans un réseau de neurones, chacun a son propre poid et biais, les paramètres
 du réseau sont composés de l'ensemble des poids et biais. Tous les neurones
 d'une même couche ont **les mêmes fonctions**.
 
+Le réseaux est organisés en couche. Les **reseaux de neuronnes complètement
+connectés**, toutes les sorties des neuronnes de la couche 0 sont connectés aux
+entrées de tous les neurines de la couche 1.
+
+### Application de transformation
+
+Les résultats obtenus en sortie de notre réseaux noe sont pas forcément
+compatibles avec la séparation linéaires. Il est alors possible d'appliquer une
+**matrice de transformation**, ce qui reviens à appliquer une autre couche à
+notre réseau.
+
+![Schéma de transformation](./images/transformation.svg)
+
+Dans le schéma ci-dessus:
+
+ 1. La première transformation est \\(
+W = \begin{pmatrix}
++\frac{1}{2} -\frac{1}{2} \\\
+-\frac{1}{2} +\frac{1}{2}
+\end{pmatrix}
+ \\) ce qu nous donne \\(Wx\\)
+2. La seconde est \\(g(u) = max\\{0,x\\}\\) ce qu nous donne \\(h(x) = g(Wx)\\)
+
+Au final, nous avons \\({w_{2}}^{t}h(x)+ b_{2} = (4 4)h(x) - 1 \implies y = {w_{2}}^{t}h(x)+ b_{2} \\)
+
+Ce n'est rien d'autre qu'un réseaux de neurones avec une couche cachée \\(h\\)
+
+
 [wiki_neurone]:https://commons.wikimedia.org/w/index.php?title=User:Nicolas.Rougier
 [mcculloch]:https://fr.wikipedia.org/wiki/Warren_McCulloch
 [pitts]:https://fr.wikipedia.org/wiki/Walter_Pitts