mirror of
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864 lines
497 KiB
Plaintext
864 lines
497 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Séance 1 - Réseau de neurones dense\n",
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"\n",
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"On se propose de classifier les chiffres manuscrit du dataset [MNIST](https://yann.lecun.com/exdb/mnist/) en définissant ses propres réseaux de neurones denses. L'objectif est de découvrir la manière d'entraîner ces algorithmes et observer en pratique les bases théoriques discutées en cours.\n",
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"\n",
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"## Exploration des données\n",
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"\n",
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"Commençons par importer les données."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 39,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd\n",
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"\n",
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"%matplotlib inline\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"sns.set(style='whitegrid')\n",
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"\n",
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"import tensorflow as tf\n",
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"from tensorflow import keras\n",
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"\n",
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"(X_train_full, y_train_full), (X_test, y_test) = (keras.datasets.mnist.load_data())"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Consigne** : À l'aide de la fonction [`train_test_split`](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html), séparer le jeu d'entraînement complet en un dataset d'entraînement et un dataset de validation. Afficher les tailles des datasets respectifs."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 40,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"(48000, 28, 28) (48000,)\n",
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"(12000, 28, 28) (12000,)\n"
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]
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}
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],
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"source": [
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"from sklearn.model_selection import train_test_split\n",
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"\n",
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"X_train, X_valid, y_train, y_valid = train_test_split(X_train_full, y_train_full, test_size=0.2, random_state=42)\n",
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"print(X_train.shape, y_train.shape)\n",
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"print(X_valid.shape, y_valid.shape)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Consigne** : Afficher plusieurs images du dataset d'entraînement aléatoirement. On pourra utiliser la fonction [`imshow`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.imshow.html)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 41,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x1000 with 25 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(10,10))\n",
|
|
"for i in range(25):\n",
|
|
" plt.subplot(5,5,i+1)\n",
|
|
" plt.xticks([])\n",
|
|
" plt.yticks([])\n",
|
|
" plt.grid(False)\n",
|
|
" plt.imshow(X_train[i], cmap=plt.cm.binary)\n",
|
|
" plt.xlabel(y_train[i])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Les images sont en niveau de gris, donc de valeurs entre 0 et 255. Pour entraîner correctement un réseau de neurones, il est préférable que les inputs soit standardisés.\n",
|
|
"\n",
|
|
"**Consigne** : Standardiser les données en utilisant la classe [`StandardScaler`](https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.StandardScaler.html). On commencera par applatir les images en utilisant la méthode [`reshape`](https://numpy.org/doc/stable/reference/generated/numpy.reshape.html), puis on applique le pré-processing et on termine par reformer la matrice."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.preprocessing import StandardScaler\n",
|
|
"\n",
|
|
"scaler = StandardScaler()\n",
|
|
"X_train_flat = X_train.reshape(X_train.shape[0], -1).astype(np.float32)\n",
|
|
"X_valid_flat = X_valid.reshape(X_valid.shape[0], -1).astype(np.float32)\n",
|
|
"X_test_flat = X_test.reshape(X_test.shape[0], -1).astype(np.float32)\n",
|
|
"\n",
|
|
"X_train = scaler.fit_transform(X_train_flat).reshape(X_train.shape)\n",
|
|
"X_valid = scaler.transform(X_valid_flat).reshape(X_valid.shape)\n",
|
|
"X_test = scaler.transform(X_test_flat).reshape(X_test.shape)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
|
|
"## Modélisation du réseau de neurones\n",
|
|
"\n",
|
|
"Pour le moment, nous travaillons avec des images de tailles $28\\times28$, mais nous ne savons pas définir (pour le moment) de réseau de neurones capable de travailler directement avec une image. Nous allons utiliser une couche nommée [`Flatten`](https://keras.io/api/layers/reshaping_layers/flatten/) dont le but est *d'applatir* une matrice de dimension *(height, width, channel)* en un vecteur de taille *height $\\times$ width $\\times$ channel*. Dans le cadre des données MNIST, *channel*=1 puisque nous sommes en niveau de gris, et *height=width=28*. On aura un vecteur de 784 dimensions.\n",
|
|
"\n",
|
|
"Une fois que nous aurons décrit l'ensemble du réseau, nous devrons terminer le réseau par une couche avec dix neurones : un pour chaque classe. Pour s'assurer que l'on aura une estimation de probabilité d'appartenance à la classe, on utilisera la fonction softmax. Pour un vecteur $x = (x_0, x_1, \\ldots, x_n)$ on a:\n",
|
|
"\n",
|
|
"$$\\text{softmax}(x)_j = \\frac{e^{x_j}}{\\displaystyle \\sum_{i=0}^n e^{x_i}}$$\n",
|
|
"\n",
|
|
"On veut définir le réseau suivant:\n",
|
|
"* **Couche cachée 1** : 256 neurones avec fonction d'activation ReLU\n",
|
|
"* **Couche cachée 2** : 128 neurones avec fonction d'activation ReLU\n",
|
|
"\n",
|
|
"On peut définir de plusieurs manières un réseau de neurones. La première est de la même manière qu'une liste à laquelle on ajoute des couches en utilisation le template de modèle *Sequential* :"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"model = keras.models.Sequential()\n",
|
|
"model.add(keras.layers.Input(shape=[28, 28]))\n",
|
|
"model.add(keras.layers.Flatten())\n",
|
|
"model.add(keras.layers.Dense(256, activation=\"relu\"))\n",
|
|
"model.add(keras.layers.Dense(128, activation=\"relu\"))\n",
|
|
"model.add(keras.layers.Dense(10, activation=\"softmax\"))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"En début de réseau de neurones on doit définir la dimension de l'input: ici (28, 28). Le reste des dimensions pour l'ensemble des couches qui lui succède sont calculées automatiquement.\n",
|
|
"\n",
|
|
"La deuxième manière est directement sous le format d'une liste:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"model = keras.models.Sequential([\n",
|
|
" keras.layers.Input(shape=[28, 28]),\n",
|
|
" keras.layers.Flatten(),\n",
|
|
" keras.layers.Dense(256, activation=\"relu\"),\n",
|
|
" keras.layers.Dense(128, activation=\"relu\"),\n",
|
|
" keras.layers.Dense(10, activation=\"softmax\")\n",
|
|
"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne** : Calculer à la main le nombre de neurones du modèle, couche par couche. Puis utiliser la méthode [`summary`](https://keras.io/api/models/model/#summary-method) pour vérifier les calculs."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 45,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"784\n",
|
|
"256\n",
|
|
"128\n",
|
|
"10\n",
|
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"235146\n"
|
|
]
|
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},
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{
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"data": {
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"text/html": [
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">Model: \"sequential_15\"</span>\n",
|
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"</pre>\n"
|
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],
|
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"text/plain": [
|
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"\u001b[1mModel: \"sequential_15\"\u001b[0m\n"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/html": [
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
|
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"┃<span style=\"font-weight: bold\"> Layer (type) </span>┃<span style=\"font-weight: bold\"> Output Shape </span>┃<span style=\"font-weight: bold\"> Param # </span>┃\n",
|
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"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
|
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"│ flatten_15 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Flatten</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">784</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_45 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">256</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">200,960</span> │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_46 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">128</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">32,896</span> │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_47 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>) │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">10</span>) │ <span style=\"color: #00af00; text-decoration-color: #00af00\">1,290</span> │\n",
|
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"└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
|
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"</pre>\n"
|
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],
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"text/plain": [
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"┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
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"┃\u001b[1m \u001b[0m\u001b[1mLayer (type) \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mOutput Shape \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1m Param #\u001b[0m\u001b[1m \u001b[0m┃\n",
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"┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
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"│ flatten_15 (\u001b[38;5;33mFlatten\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m784\u001b[0m) │ \u001b[38;5;34m0\u001b[0m │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_45 (\u001b[38;5;33mDense\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m256\u001b[0m) │ \u001b[38;5;34m200,960\u001b[0m │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_46 (\u001b[38;5;33mDense\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m128\u001b[0m) │ \u001b[38;5;34m32,896\u001b[0m │\n",
|
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"├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
|
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"│ dense_47 (\u001b[38;5;33mDense\u001b[0m) │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m10\u001b[0m) │ \u001b[38;5;34m1,290\u001b[0m │\n",
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"└─────────────────────────────────┴────────────────────────┴───────────────┘\n"
|
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]
|
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},
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"metadata": {},
|
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"output_type": "display_data"
|
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},
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{
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"data": {
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"text/html": [
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Total params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">235,146</span> (918.54 KB)\n",
|
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"</pre>\n"
|
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],
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"text/plain": [
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"\u001b[1m Total params: \u001b[0m\u001b[38;5;34m235,146\u001b[0m (918.54 KB)\n"
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]
|
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},
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"metadata": {},
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"output_type": "display_data"
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},
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"data": {
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"text/html": [
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">235,146</span> (918.54 KB)\n",
|
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"</pre>\n"
|
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],
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"text/plain": [
|
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"\u001b[1m Trainable params: \u001b[0m\u001b[38;5;34m235,146\u001b[0m (918.54 KB)\n"
|
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]
|
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},
|
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"metadata": {},
|
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"output_type": "display_data"
|
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},
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{
|
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"data": {
|
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"text/html": [
|
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"<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Non-trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> (0.00 B)\n",
|
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"</pre>\n"
|
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],
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"text/plain": [
|
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"\u001b[1m Non-trainable params: \u001b[0m\u001b[38;5;34m0\u001b[0m (0.00 B)\n"
|
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]
|
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},
|
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"metadata": {},
|
|
"output_type": "display_data"
|
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}
|
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],
|
|
"source": [
|
|
"print(28*28)\n",
|
|
"print(256)\n",
|
|
"print(128)\n",
|
|
"print(10)\n",
|
|
"\n",
|
|
"print(28 * 28 * 256 + 256 + 256 * 128 + 128 + 128 * 10 + 10)\n",
|
|
"\n",
|
|
"model.summary()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Nous avons décrit l'architecture du réseau de neurones. Il faut maintenant définir comment il va s'entraîner. Nous devons spécifier:\n",
|
|
"\n",
|
|
"* **Loss** : Quelle fonction de perte est à minimiser ?\n",
|
|
"* **Optimizer** Quel schéma de descente de gradient est à utiliser ?\n",
|
|
"* **Metrics** : Quelles métrique de performance souhaite-on observer pendant l'entraînement ?\n",
|
|
"\n",
|
|
"Puisque nous travaillons sur un problème de classification avec plusieurs classes, la fonction de perte [`sparse_categorical_crossentropy`](https://keras.io/api/losses/probabilistic_losses/#sparsecategoricalcrossentropy-class) est celle qu'il nous faut.\n",
|
|
"\n",
|
|
"Concernant l'*optimizer* il y a plusieurs possibilités que nous verrons dans une prochaine séance. Pour le moment nous travaillerons avec une descente de gradient stochastique par mini-batch [`SGD`](https://keras.io/api/optimizers/sgd/). Pour la définir, nous devons statuer sur:\n",
|
|
"* **Learning rate** : pas de descente, on décide de choisir la valeur 0.001\n",
|
|
"* **Batch size** : nombre d'observations à considérer pour chacune des passes. On décide de prendre 32 images par batch. Cette valeur sera à renseigner un peu plus tard.\n",
|
|
"\n",
|
|
"Pour les métriques, nous suivrons l'accuracy parce que la distribution des catégories à prédire n'est pas déséquilibrées."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 46,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"model.compile(\n",
|
|
" loss=\"sparse_categorical_crossentropy\",\n",
|
|
" optimizer=keras.optimizers.SGD(learning_rate=1e-3),\n",
|
|
" metrics=[\"accuracy\"],\n",
|
|
")\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Entraînement\n",
|
|
"\n",
|
|
"Le modèle est maintenant prêt à être entraîné, il nous reste à lui indiquer:\n",
|
|
"* **Données** : jeu d'entraînement et jeu de validation\n",
|
|
"* **Époques** : le nombre de passes à réaliser sur l'ensemble du dataset\n",
|
|
"* **Batch size** : le nombre d'observations pour chaque batch, nous avions décidé juste avant que ce serait 32"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 47,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Epoch 1/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 894us/step - accuracy: 0.6465 - loss: 1.3067 - val_accuracy: 0.8153 - val_loss: 0.7515\n",
|
|
"Epoch 2/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 855us/step - accuracy: 0.8520 - loss: 0.5812 - val_accuracy: 0.8685 - val_loss: 0.4952\n",
|
|
"Epoch 3/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 843us/step - accuracy: 0.8845 - loss: 0.4272 - val_accuracy: 0.8891 - val_loss: 0.4029\n",
|
|
"Epoch 4/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 845us/step - accuracy: 0.9007 - loss: 0.3586 - val_accuracy: 0.9006 - val_loss: 0.3550\n",
|
|
"Epoch 5/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 857us/step - accuracy: 0.9109 - loss: 0.3177 - val_accuracy: 0.9082 - val_loss: 0.3242\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"epochs = 5\n",
|
|
"batch_size = 32\n",
|
|
"\n",
|
|
"history = model.fit(\n",
|
|
" X_train,\n",
|
|
" y_train,\n",
|
|
" epochs=epochs,\n",
|
|
" batch_size=batch_size,\n",
|
|
" validation_data=(X_valid, y_valid),\n",
|
|
")\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Nous avons des informations disponible dans l'objet *history*, plus précisement dans *history.history*\n",
|
|
"\n",
|
|
"**Consigne** : Créer un [`DataFrame`](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.html) à partir de *history.history* puis inspecter-le."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 48,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" accuracy loss val_accuracy val_loss\n",
|
|
"0 0.646479 1.306706 0.815333 0.751453\n",
|
|
"1 0.852000 0.581246 0.868500 0.495204\n",
|
|
"2 0.884479 0.427247 0.889083 0.402895\n",
|
|
"3 0.900729 0.358558 0.900583 0.354972\n",
|
|
"4 0.910875 0.317710 0.908250 0.324167\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"history_df = pd.DataFrame(history.history)\n",
|
|
"\n",
|
|
"print(history_df)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne**: Définir une fonction `plot_learning_curves` qui prend en paramètre l'objet *history* et qui renvoie un graphique. Le graphique correspondra à deux graphiques côte à côte :\n",
|
|
"1. Le premier montre l'évolution de la fonction de perte en fonction des époques\n",
|
|
"2. Le second montre l'évolution de l'accuracy en fonction des époques\n",
|
|
"Dans les deux cas, les valeurs de performance sur le dataset de validation doivent être en pointillé. "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 49,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def plot_learning_curves(history_df: pd.DataFrame) -> None:\n",
|
|
" plt.figure(figsize=(12, 4))\n",
|
|
"\n",
|
|
" plt.subplot(1, 2, 1)\n",
|
|
" plt.plot(history_df['loss'], label='Training Loss')\n",
|
|
" plt.plot(history_df[\"val_loss\"], label=\"Validation Loss\")\n",
|
|
" plt.xlabel(\"Epochs\")\n",
|
|
" plt.ylabel(\"Loss\")\n",
|
|
" plt.legend()\n",
|
|
"\n",
|
|
" plt.subplot(1, 2, 2)\n",
|
|
" plt.plot(history_df['accuracy'], label='Accuracy')\n",
|
|
" plt.plot(history_df[\"val_accuracy\"], label=\"Validation Accuracy\")\n",
|
|
" plt.xlabel('Epochs')\n",
|
|
" plt.ylabel('Accuracy')\n",
|
|
" plt.legend()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne** : Exploiter la fonction précédente pour observer les courbes d'apprentissage du l'entraînement précédent."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 50,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
|
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"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot_learning_curves(history_df)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Exploitation des prédictions\n",
|
|
"\n",
|
|
"On souhaite à présent utiliser le modèle pour prédire le chiffre présent dans une image.\n",
|
|
"\n",
|
|
"**Consigne** : Prédire sur le jeu de test à l'aide de la méthode [`predict`](https://keras.io/api/models/model_training_apis/#predict-method), puis observer le résultat sur la première image."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 59,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"\u001b[1m313/313\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 712us/step\n",
|
|
"[9.3210938e-06 9.0745144e-04 9.9405009e-01 1.4055278e-03 5.0518427e-08\n",
|
|
" 8.1401318e-05 3.4974131e-03 2.3491805e-07 4.7366044e-05 1.1456490e-06]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"predictions = model.predict(X_test)\n",
|
|
"\n",
|
|
"print(predictions[1])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne** : Après avoir vérifier que si l'on somme les chiffres affichés pour la première image vaut bien 1, identifier la classe prédite par le modèle. Vérifier visuellement."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 63,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"1.0\n",
|
|
"2\n",
|
|
"2\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(np.sum(predictions[1]))\n",
|
|
"print(np.argmax(predictions[1]))\n",
|
|
"print(y_test[1])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Quel est l'impact du learning rate ?\n",
|
|
"\n",
|
|
"On s'intéresse à présent à l'importance du choix du learning rate. On se propose de tester plusieurs valeurs pour obtenir les meilleurs performances.\n",
|
|
"\n",
|
|
"**Consigne** : Définir une fonction `get_model` qui prend en paramètre un `float` qui correspond à un learning rate. La fonction renvoie un modèle compilé avec les mêmes paramètres que précédemment, sauf la valeur du learning rate qui est renseignée par l'utilisateur."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 53,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def get_model(learning_rate: float) -> keras.Model:\n",
|
|
" model = keras.models.Sequential(\n",
|
|
" [\n",
|
|
" keras.layers.Input(shape=[28, 28]),\n",
|
|
" keras.layers.Flatten(),\n",
|
|
" keras.layers.Dense(256, activation=\"relu\"),\n",
|
|
" keras.layers.Dense(128, activation=\"relu\"),\n",
|
|
" keras.layers.Dense(10, activation=\"softmax\"),\n",
|
|
" ]\n",
|
|
" )\n",
|
|
" model.compile(\n",
|
|
" loss=\"sparse_categorical_crossentropy\",\n",
|
|
" optimizer=keras.optimizers.SGD(learning_rate=learning_rate),\n",
|
|
" metrics=[\"accuracy\"],\n",
|
|
" )\n",
|
|
"\n",
|
|
" return model"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Avant de lancer sur plusieurs époques, commençons par écrire une ébauche de la boucle de comparaison avec 5 époques."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 54,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Learning rate: 0.1 - époques: 5\n",
|
|
"Epoch 1/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 883us/step - accuracy: 0.9287 - loss: 0.2629 - val_accuracy: 0.9580 - val_loss: 0.1933\n",
|
|
"Epoch 2/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 898us/step - accuracy: 0.9687 - loss: 0.1150 - val_accuracy: 0.9620 - val_loss: 0.1606\n",
|
|
"Epoch 3/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 989us/step - accuracy: 0.9794 - loss: 0.0718 - val_accuracy: 0.9653 - val_loss: 0.1609\n",
|
|
"Epoch 4/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 928us/step - accuracy: 0.9868 - loss: 0.0462 - val_accuracy: 0.9696 - val_loss: 0.1677\n",
|
|
"Epoch 5/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 877us/step - accuracy: 0.9912 - loss: 0.0315 - val_accuracy: 0.9726 - val_loss: 0.1526\n",
|
|
"Learning rate: 0.01 - époques: 5\n",
|
|
"Epoch 1/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 931us/step - accuracy: 0.8749 - loss: 0.4608 - val_accuracy: 0.9308 - val_loss: 0.2622\n",
|
|
"Epoch 2/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 1ms/step - accuracy: 0.9425 - loss: 0.2001 - val_accuracy: 0.9458 - val_loss: 0.2155\n",
|
|
"Epoch 3/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 996us/step - accuracy: 0.9567 - loss: 0.1507 - val_accuracy: 0.9509 - val_loss: 0.1999\n",
|
|
"Epoch 4/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 875us/step - accuracy: 0.9656 - loss: 0.1201 - val_accuracy: 0.9563 - val_loss: 0.1791\n",
|
|
"Epoch 5/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 900us/step - accuracy: 0.9720 - loss: 0.0990 - val_accuracy: 0.9603 - val_loss: 0.1710\n",
|
|
"Learning rate: 0.001 - époques: 5\n",
|
|
"Epoch 1/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m2s\u001b[0m 923us/step - accuracy: 0.6258 - loss: 1.3463 - val_accuracy: 0.8145 - val_loss: 0.7882\n",
|
|
"Epoch 2/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 882us/step - accuracy: 0.8475 - loss: 0.6002 - val_accuracy: 0.8703 - val_loss: 0.5113\n",
|
|
"Epoch 3/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 881us/step - accuracy: 0.8821 - loss: 0.4359 - val_accuracy: 0.8918 - val_loss: 0.4138\n",
|
|
"Epoch 4/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 876us/step - accuracy: 0.8988 - loss: 0.3634 - val_accuracy: 0.9038 - val_loss: 0.3621\n",
|
|
"Epoch 5/5\n",
|
|
"\u001b[1m1500/1500\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 880us/step - accuracy: 0.9095 - loss: 0.3199 - val_accuracy: 0.9118 - val_loss: 0.3286\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"n_epochs = 5\n",
|
|
"batch_size = 32\n",
|
|
"learning_rates = [10 ** (-power) for power in range(1, 4)]\n",
|
|
"\n",
|
|
"results = []\n",
|
|
"for learning_rate in learning_rates:\n",
|
|
" print(f\"Learning rate: {learning_rate} - époques: {n_epochs}\")\n",
|
|
" model = get_model(learning_rate=learning_rate)\n",
|
|
" history = model.fit(\n",
|
|
" X_train,\n",
|
|
" y_train,\n",
|
|
" epochs=n_epochs,\n",
|
|
" batch_size=batch_size,\n",
|
|
" validation_data=(X_valid, y_valid),\n",
|
|
" )\n",
|
|
" result = {\n",
|
|
" \"learning_rate\": learning_rate,\n",
|
|
" \"n_epochs\": n_epochs,\n",
|
|
" \"history\": pd.DataFrame(history.history),\n",
|
|
" }\n",
|
|
" results.append(result)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne** : Définir une fonction `show_results` qui prend en paramètre l'objet *results* construit précédemment et qui renvoie un graphique similaire à celui renvoyé par `plot_learning_curves`. Cependant, les différentes itérations doivent être présente sur chaque graphique, ici les courbes d'entraînement pour chaque learning rate, avec la bonne légende pour chaque graphique."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 55,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def show_results(results: list) -> None:\n",
|
|
" for _, result in enumerate(results):\n",
|
|
" plt.figure(figsize=(12, 4))\n",
|
|
" history_df = result[\"history\"]\n",
|
|
" learning_rate = result[\"learning_rate\"]\n",
|
|
"\n",
|
|
" plt.subplot(1, 2, 1)\n",
|
|
" plt.plot(\n",
|
|
" history_df[\"val_loss\"],\n",
|
|
" label=f\"Val Loss (LR={learning_rate})\",\n",
|
|
" linestyle=\"--\",\n",
|
|
" )\n",
|
|
" plt.plot(\n",
|
|
" history_df[\"loss\"], label=f\"Train Loss (LR={learning_rate})\", alpha=0.5\n",
|
|
" )\n",
|
|
" plt.xlabel(\"Epochs\")\n",
|
|
" plt.ylabel(\"Loss\")\n",
|
|
" plt.legend()\n",
|
|
"\n",
|
|
" plt.subplot(1, 2, 2)\n",
|
|
" plt.plot(\n",
|
|
" history_df[\"val_accuracy\"],\n",
|
|
" label=f\"Val Accuracy (LR={learning_rate})\",\n",
|
|
" linestyle=\"--\",\n",
|
|
" )\n",
|
|
" plt.plot(\n",
|
|
" history_df[\"accuracy\"],\n",
|
|
" label=f\"Train Accuracy (LR={learning_rate})\",\n",
|
|
" alpha=0.5,\n",
|
|
" )\n",
|
|
" plt.xlabel(\"Epochs\")\n",
|
|
" plt.ylabel(\"Accuracy\")\n",
|
|
" plt.legend()\n",
|
|
"\n",
|
|
" plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Consigne**: Lancer l'entraînement pour plus d'époques afin de comparer avec la fonction `show_results` les différences d'entraînement. Commenter.\n",
|
|
"\n",
|
|
"Pour gagner du temps, on pourra augmenter le batch_size à 256 voire 528. Pour éviter de surcharger l'affichage, on peut utiliser le paramètre *verbose* de la méthode `fit` : s'il vaut 0 alors il n'y a aucun affichage."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 56,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"show_results(results)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 57,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Learning rate: 0.1 - époques: 50\n",
|
|
"Learning rate: 0.01 - époques: 50\n",
|
|
"Learning rate: 0.001 - époques: 50\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"n_epochs = 50\n",
|
|
"batch_size = 256\n",
|
|
"learning_rates = [10 ** (-power) for power in range(1, 4)]\n",
|
|
"\n",
|
|
"results = []\n",
|
|
"for learning_rate in learning_rates:\n",
|
|
" print(f\"Learning rate: {learning_rate} - époques: {n_epochs}\")\n",
|
|
" model = get_model(learning_rate=learning_rate)\n",
|
|
" history = model.fit(\n",
|
|
" X_train,\n",
|
|
" y_train,\n",
|
|
" epochs=n_epochs,\n",
|
|
" batch_size=batch_size,\n",
|
|
" validation_data=(X_valid, y_valid),\n",
|
|
" verbose=0,\n",
|
|
" )\n",
|
|
" result = {\n",
|
|
" \"learning_rate\": learning_rate,\n",
|
|
" \"n_epochs\": n_epochs,\n",
|
|
" \"history\": pd.DataFrame(history.history),\n",
|
|
" }\n",
|
|
" results.append(result)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 58,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 1200x400 with 2 Axes>"
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"show_results(results)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Pour continuer\n",
|
|
"\n",
|
|
"Choisir une ou plusieurs pistes de recherche parmi les suivantes. Il est possible de choisir une autre direction, mais elle doit être validé auparavant.\n",
|
|
"\n",
|
|
"1. L'initialisation des réseaux de neurones étant aléatoire, et la mise à jour des poids étant réalisées avec SGD, on ne peut pas considérer un exemple comme une généralité. Reproduire l'étude précédente en lançant plusieurs fois le même modèle pour être capable de générer un graphique avec des intervalles de confiance.\n",
|
|
"2. Nous avons vu en cours que l'initialisation des poids peut avoir un impact fort sur la suite de l'entraînement. En exploitant le paramètre `kernel_initializer` présent dans la définition de la couche [`Dense`](https://keras.io/api/layers/core_layers/dense/), proposer et réaliser une étude pour vérifier ou infirmer cela.\n",
|
|
"3. Les réseaux de neurones peuvent sur-apprendre. Il est important de pouvoir les régulariser. En exploitant le paramètre `kernel_regularizer` présent dans la définition de la couche [`Dense`](https://keras.io/api/layers/core_layers/dense/), proposer une étude pour visualiser son impact sur l'apprentissage."
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "studies",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.13.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|