{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Chapter 10 – Introduction to Artificial Neural Networks with Keras**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_This notebook contains all the sample code and solutions to the exercises in chapter 10._"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<table align=\"left\">\n",
    "  <td>\n",
    "    <a href=\"https://colab.research.google.com/github/ageron/handson-ml3/blob/main/10_neural_nets_with_keras.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://kaggle.com/kernels/welcome?src=https://github.com/ageron/handson-ml3/blob/main/10_neural_nets_with_keras.ipynb\"><img src=\"https://kaggle.com/static/images/open-in-kaggle.svg\" /></a>\n",
    "  </td>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This project requires Python 3.7 or above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "assert sys.version_info >= (3, 7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It also requires Scikit-Learn ≥ 1.0.1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from packaging import version\n",
    "import sklearn\n",
    "\n",
    "assert version.parse(sklearn.__version__) >= version.parse(\"1.0.1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And TensorFlow ≥ 2.8:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n",
      "I0000 00:00:1774940204.155672  439194 cudart_stub.cc:31] Could not find cuda drivers on your machine, GPU will not be used.\n",
      "I0000 00:00:1774940204.616145  439194 cpu_feature_guard.cc:227] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n",
      "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n",
      "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n",
      "I0000 00:00:1774940207.042758  439194 cudart_stub.cc:31] Could not find cuda drivers on your machine, GPU will not be used.\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "\n",
    "assert version.parse(tf.__version__) >= version.parse(\"2.8.0\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we did in previous chapters, let's define the default font sizes to make the figures prettier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rc('font', size=14)\n",
    "plt.rc('axes', labelsize=14, titlesize=14)\n",
    "plt.rc('legend', fontsize=14)\n",
    "plt.rc('xtick', labelsize=10)\n",
    "plt.rc('ytick', labelsize=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And let's create the `images/ann` folder (if it doesn't already exist), and define the `save_fig()` function which is used through this notebook to save the figures in high-res for the book:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path\n",
    "\n",
    "IMAGES_PATH = Path() / \"images\" / \"ann\"\n",
    "IMAGES_PATH.mkdir(parents=True, exist_ok=True)\n",
    "\n",
    "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n",
    "    path = IMAGES_PATH / f\"{fig_id}.{fig_extension}\"\n",
    "    if tight_layout:\n",
    "        plt.tight_layout()\n",
    "    plt.savefig(path, format=fig_extension, dpi=resolution)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# From Biological to Artificial Neurons\n",
    "## The Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.linear_model import Perceptron\n",
    "\n",
    "iris = load_iris(as_frame=True)\n",
    "X = iris.data[[\"petal length (cm)\", \"petal width (cm)\"]].values\n",
    "y = (iris.target == 0)  # Iris setosa\n",
    "\n",
    "per_clf = Perceptron(random_state=42)\n",
    "per_clf.fit(X, y)\n",
    "\n",
    "X_new = [[2, 0.5], [3, 1]]\n",
    "y_pred = per_clf.predict(X_new)  # predicts True and False for these 2 flowers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True, False])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `Perceptron` is equivalent to a `SGDClassifier` with `loss=\"perceptron\"`, no regularization, and a constant learning rate equal to 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# extra code – shows how to build and train a Perceptron\n",
    "\n",
    "from sklearn.linear_model import SGDClassifier\n",
    "\n",
    "sgd_clf = SGDClassifier(loss=\"perceptron\", penalty=None,\n",
    "                        learning_rate=\"constant\", eta0=1, random_state=42)\n",
    "sgd_clf.fit(X, y)\n",
    "assert (sgd_clf.coef_ == per_clf.coef_).all()\n",
    "assert (sgd_clf.intercept_ == per_clf.intercept_).all()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the Perceptron finds a decision boundary that properly separates the classes, it stops learning. This means that the decision boundary is often quite close to one class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code – plots the decision boundary of a Perceptron on the iris dataset\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "a = -per_clf.coef_[0, 0] / per_clf.coef_[0, 1]\n",
    "b = -per_clf.intercept_ / per_clf.coef_[0, 1]\n",
    "axes = [0, 5, 0, 2]\n",
    "x0, x1 = np.meshgrid(\n",
    "    np.linspace(axes[0], axes[1], 500).reshape(-1, 1),\n",
    "    np.linspace(axes[2], axes[3], 200).reshape(-1, 1),\n",
    ")\n",
    "X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "y_predict = per_clf.predict(X_new)\n",
    "zz = y_predict.reshape(x0.shape)\n",
    "custom_cmap = ListedColormap(['#9898ff', '#fafab0'])\n",
    "\n",
    "plt.figure(figsize=(7, 3))\n",
    "plt.plot(X[y == 0, 0], X[y == 0, 1], \"bs\", label=\"Not Iris setosa\")\n",
    "plt.plot(X[y == 1, 0], X[y == 1, 1], \"yo\", label=\"Iris setosa\")\n",
    "plt.plot([axes[0], axes[1]], [a * axes[0] + b, a * axes[1] + b], \"k-\",\n",
    "         linewidth=3)\n",
    "plt.contourf(x0, x1, zz, cmap=custom_cmap)\n",
    "plt.xlabel(\"Petal length\")\n",
    "plt.ylabel(\"Petal width\")\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.axis(axes)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Activation functions**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x310 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code – this cell generates and saves Figure 10–8\n",
    "\n",
    "from scipy.special import expit as sigmoid\n",
    "\n",
    "def relu(z):\n",
    "    return np.maximum(0, z)\n",
    "\n",
    "def derivative(f, z, eps=0.000001):\n",
    "    return (f(z + eps) - f(z - eps))/(2 * eps)\n",
    "\n",
    "max_z = 4.5\n",
    "z = np.linspace(-max_z, max_z, 200)\n",
    "\n",
    "plt.figure(figsize=(11, 3.1))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.plot([-max_z, 0], [0, 0], \"r-\", linewidth=2, label=\"Heaviside\")\n",
    "plt.plot(z, relu(z), \"m-.\", linewidth=2, label=\"ReLU\")\n",
    "plt.plot([0, 0], [0, 1], \"r-\", linewidth=0.5)\n",
    "plt.plot([0, max_z], [1, 1], \"r-\", linewidth=2)\n",
    "plt.plot(z, sigmoid(z), \"g--\", linewidth=2, label=\"Sigmoid\")\n",
    "plt.plot(z, np.tanh(z), \"b-\", linewidth=1, label=\"Tanh\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Activation functions\")\n",
    "plt.axis([-max_z, max_z, -1.65, 2.4])\n",
    "plt.gca().set_yticks([-1, 0, 1, 2])\n",
    "plt.legend(loc=\"lower right\", fontsize=13)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(z, derivative(np.sign, z), \"r-\", linewidth=2, label=\"Heaviside\")\n",
    "plt.plot(0, 0, \"ro\", markersize=5)\n",
    "plt.plot(0, 0, \"rx\", markersize=10)\n",
    "plt.plot(z, derivative(sigmoid, z), \"g--\", linewidth=2, label=\"Sigmoid\")\n",
    "plt.plot(z, derivative(np.tanh, z), \"b-\", linewidth=1, label=\"Tanh\")\n",
    "plt.plot([-max_z, 0], [0, 0], \"m-.\", linewidth=2)\n",
    "plt.plot([0, max_z], [1, 1], \"m-.\", linewidth=2)\n",
    "plt.plot([0, 0], [0, 1], \"m-.\", linewidth=1.2)\n",
    "plt.plot(0, 1, \"mo\", markersize=5)\n",
    "plt.plot(0, 1, \"mx\", markersize=10)\n",
    "plt.grid(True)\n",
    "plt.title(\"Derivatives\")\n",
    "plt.axis([-max_z, max_z, -0.2, 1.2])\n",
    "\n",
    "save_fig(\"activation_functions_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing MLPs with Keras\n",
    "## Building an Image Classifier Using the Sequential API\n",
    "### Using Keras to load the dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by loading the fashion MNIST dataset. Keras has a number of functions to load popular datasets in `tf.keras.datasets`. The dataset is already split for you between a training set (60,000 images) and a test set (10,000 images), but it can be useful to split the training set further to have a validation set. We'll use 55,000 images for training, and 5,000 for validation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "\n",
    "fashion_mnist = tf.keras.datasets.fashion_mnist.load_data()\n",
    "(X_train_full, y_train_full), (X_test, y_test) = fashion_mnist\n",
    "X_train, y_train = X_train_full[:-5000], y_train_full[:-5000]\n",
    "X_valid, y_valid = X_train_full[-5000:], y_train_full[-5000:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The training set contains 60,000 grayscale images, each 28x28 pixels:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(55000, 28, 28)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each pixel intensity is represented as a byte (0 to 255):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('uint8')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.dtype"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's scale the pixel intensities down to the 0-1 range and convert them to floats, by dividing by 255:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_valid, X_test = X_train / 255., X_valid / 255., X_test / 255."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can plot an image using Matplotlib's `imshow()` function, with a `'binary'`\n",
    " color map:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code\n",
    "\n",
    "plt.imshow(X_train[0], cmap=\"binary\")\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The labels are the class IDs (represented as uint8), from 0 to 9:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9, 0, 0, ..., 9, 0, 2], shape=(55000,), dtype=uint8)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the corresponding class names:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class_names = [\"T-shirt/top\", \"Trouser\", \"Pullover\", \"Dress\", \"Coat\",\n",
    "               \"Sandal\", \"Shirt\", \"Sneaker\", \"Bag\", \"Ankle boot\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So the first image in the training set is an ankle boot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Ankle boot'"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class_names[y_train[0]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at a sample of the images in the dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x480 with 40 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code – this cell generates and saves Figure 10–10\n",
    "\n",
    "n_rows = 4\n",
    "n_cols = 10\n",
    "plt.figure(figsize=(n_cols * 1.2, n_rows * 1.2))\n",
    "for row in range(n_rows):\n",
    "    for col in range(n_cols):\n",
    "        index = n_cols * row + col\n",
    "        plt.subplot(n_rows, n_cols, index + 1)\n",
    "        plt.imshow(X_train[index], cmap=\"binary\", interpolation=\"nearest\")\n",
    "        plt.axis('off')\n",
    "        plt.title(class_names[y_train[index]])\n",
    "plt.subplots_adjust(wspace=0.2, hspace=0.5)\n",
    "\n",
    "save_fig(\"fashion_mnist_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating the model using the Sequential API"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/madhavan/python-venv/lib/python3.13/site-packages/keras/src/layers/core/input_layer.py:27: UserWarning: Argument `input_shape` is deprecated. Use `shape` instead.\n",
      "  warnings.warn(\n",
      "E0000 00:00:1774940212.237376  439194 cuda_platform.cc:52] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)\n"
     ]
    }
   ],
   "source": [
    "tf.random.set_seed(42)\n",
    "model = tf.keras.Sequential()\n",
    "model.add(tf.keras.layers.InputLayer(input_shape=[28, 28]))\n",
    "model.add(tf.keras.layers.Flatten())\n",
    "model.add(tf.keras.layers.Dense(300, activation=\"relu\"))\n",
    "model.add(tf.keras.layers.Dense(100, activation=\"relu\"))\n",
    "model.add(tf.keras.layers.Dense(10, activation=\"softmax\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/madhavan/python-venv/lib/python3.13/site-packages/keras/src/layers/reshaping/flatten.py:37: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n",
      "  super().__init__(**kwargs)\n"
     ]
    }
   ],
   "source": [
    "# extra code – clear the session to reset the name counters\n",
    "tf.keras.backend.clear_session()\n",
    "tf.random.set_seed(42)\n",
    "\n",
    "model = tf.keras.Sequential([\n",
    "    tf.keras.layers.Flatten(input_shape=[28, 28]),\n",
    "    tf.keras.layers.Dense(300, activation=\"relu\"),\n",
    "    tf.keras.layers.Dense(100, activation=\"relu\"),\n",
    "    tf.keras.layers.Dense(10, activation=\"softmax\")\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<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\"</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1mModel: \"sequential\"\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
       "┃<span style=\"font-weight: bold\"> Layer (type)                    </span>┃<span style=\"font-weight: bold\"> Output Shape           </span>┃<span style=\"font-weight: bold\">       Param # </span>┃\n",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
       "│ flatten (<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",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense (<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\">300</span>)            │       <span style=\"color: #00af00; text-decoration-color: #00af00\">235,500</span> │\n",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense_1 (<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\">100</span>)            │        <span style=\"color: #00af00; text-decoration-color: #00af00\">30,100</span> │\n",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense_2 (<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\">1,010</span> │\n",
       "└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
       "</pre>\n"
      ],
      "text/plain": [
       "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n",
       "┃\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",
       "┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n",
       "│ flatten (\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",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense (\u001b[38;5;33mDense\u001b[0m)                   │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m300\u001b[0m)            │       \u001b[38;5;34m235,500\u001b[0m │\n",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense_1 (\u001b[38;5;33mDense\u001b[0m)                 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m100\u001b[0m)            │        \u001b[38;5;34m30,100\u001b[0m │\n",
       "├─────────────────────────────────┼────────────────────────┼───────────────┤\n",
       "│ dense_2 (\u001b[38;5;33mDense\u001b[0m)                 │ (\u001b[38;5;45mNone\u001b[0m, \u001b[38;5;34m10\u001b[0m)             │         \u001b[38;5;34m1,010\u001b[0m │\n",
       "└─────────────────────────────────┴────────────────────────┴───────────────┘\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<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\">266,610</span> (1.02 MB)\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m Total params: \u001b[0m\u001b[38;5;34m266,610\u001b[0m (1.02 MB)\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<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\">266,610</span> (1.02 MB)\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m Trainable params: \u001b[0m\u001b[38;5;34m266,610\u001b[0m (1.02 MB)\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<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",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m Non-trainable params: \u001b[0m\u001b[38;5;34m0\u001b[0m (0.00 B)\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You must install pydot (`pip install pydot`) for `plot_model` to work.\n"
     ]
    }
   ],
   "source": [
    "# extra code – another way to display the model's architecture\n",
    "tf.keras.utils.plot_model(model, \"my_fashion_mnist_model.png\", show_shapes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<Flatten name=flatten, built=True>,\n",
       " <Dense name=dense, built=True>,\n",
       " <Dense name=dense_1, built=True>,\n",
       " <Dense name=dense_2, built=True>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'dense'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hidden1 = model.layers[1]\n",
    "hidden1.name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.get_layer('dense') is hidden1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.01503324, -0.01729074, -0.0209767 , ...,  0.01256161,\n",
       "        -0.01029796, -0.01812954],\n",
       "       [ 0.04807831, -0.05462622, -0.06968277, ..., -0.07118641,\n",
       "        -0.03634901, -0.00619955],\n",
       "       [-0.02758568,  0.0021318 ,  0.01136191, ..., -0.06439991,\n",
       "        -0.06434148,  0.01817922],\n",
       "       ...,\n",
       "       [ 0.02835793, -0.0673513 ,  0.00254125, ..., -0.02448661,\n",
       "        -0.04257814,  0.03686985],\n",
       "       [ 0.07074963, -0.07194687, -0.06052938, ...,  0.02105471,\n",
       "         0.05061468,  0.0740158 ],\n",
       "       [ 0.05856735, -0.00792463,  0.03314552, ...,  0.04626872,\n",
       "         0.01818854, -0.0170098 ]], shape=(784, 300), dtype=float32)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights, biases = hidden1.get_weights()\n",
    "weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(784, 300)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.], dtype=float32)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "biases"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300,)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "biases.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compiling the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.compile(loss=\"sparse_categorical_crossentropy\",\n",
    "              optimizer=\"sgd\",\n",
    "              metrics=[\"accuracy\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is equivalent to:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# extra code – this cell is equivalent to the previous cell\n",
    "model.compile(loss=tf.keras.losses.sparse_categorical_crossentropy,\n",
    "              optimizer=tf.keras.optimizers.SGD(),\n",
    "              metrics=[tf.keras.metrics.sparse_categorical_accuracy])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0., 1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n",
       "       [1., 0., 0., 0., 0., 0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# extra code – shows how to convert class ids to one-hot vectors\n",
    "tf.keras.utils.to_categorical([0, 5, 1, 0], num_classes=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: it's important to set `num_classes` when the number of classes is greater than the maximum class id in the sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 5, 1, 0])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# extra code – shows how to convert one-hot vectors to class ids\n",
    "np.argmax(\n",
    "    [[1., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n",
    "     [0., 0., 0., 0., 0., 1., 0., 0., 0., 0.],\n",
    "     [0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n",
    "     [1., 0., 0., 0., 0., 0., 0., 0., 0., 0.]],\n",
    "    axis=1\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training and evaluating the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/30\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "W0000 00:00:1774940213.361692  439194 cpu_allocator_impl.cc:82] Allocation of 172480000 exceeds 10% of free system memory.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.7012 - sparse_categorical_accuracy: 0.7671 - val_loss: 0.5043 - val_sparse_categorical_accuracy: 0.8250\n",
      "Epoch 2/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.4883 - sparse_categorical_accuracy: 0.8299 - val_loss: 0.4526 - val_sparse_categorical_accuracy: 0.8362\n",
      "Epoch 3/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.4440 - sparse_categorical_accuracy: 0.8452 - val_loss: 0.4284 - val_sparse_categorical_accuracy: 0.8478\n",
      "Epoch 4/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.4167 - sparse_categorical_accuracy: 0.8544 - val_loss: 0.4121 - val_sparse_categorical_accuracy: 0.8536\n",
      "Epoch 5/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.3969 - sparse_categorical_accuracy: 0.8608 - val_loss: 0.4021 - val_sparse_categorical_accuracy: 0.8546\n",
      "Epoch 6/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.3811 - sparse_categorical_accuracy: 0.8661 - val_loss: 0.3945 - val_sparse_categorical_accuracy: 0.8574\n",
      "Epoch 7/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.3679 - sparse_categorical_accuracy: 0.8705 - val_loss: 0.3860 - val_sparse_categorical_accuracy: 0.8582\n",
      "Epoch 8/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.3564 - sparse_categorical_accuracy: 0.8745 - val_loss: 0.3800 - val_sparse_categorical_accuracy: 0.8618\n",
      "Epoch 9/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.3460 - sparse_categorical_accuracy: 0.8779 - val_loss: 0.3754 - val_sparse_categorical_accuracy: 0.8630\n",
      "Epoch 10/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.3366 - sparse_categorical_accuracy: 0.8801 - val_loss: 0.3711 - val_sparse_categorical_accuracy: 0.8642\n",
      "Epoch 11/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.3279 - sparse_categorical_accuracy: 0.8829 - val_loss: 0.3664 - val_sparse_categorical_accuracy: 0.8658\n",
      "Epoch 12/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.3199 - sparse_categorical_accuracy: 0.8857 - val_loss: 0.3630 - val_sparse_categorical_accuracy: 0.8672\n",
      "Epoch 13/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.3123 - sparse_categorical_accuracy: 0.8878 - val_loss: 0.3610 - val_sparse_categorical_accuracy: 0.8680\n",
      "Epoch 14/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.3054 - sparse_categorical_accuracy: 0.8902 - val_loss: 0.3575 - val_sparse_categorical_accuracy: 0.8692\n",
      "Epoch 15/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2988 - sparse_categorical_accuracy: 0.8926 - val_loss: 0.3541 - val_sparse_categorical_accuracy: 0.8698\n",
      "Epoch 16/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2925 - sparse_categorical_accuracy: 0.8953 - val_loss: 0.3528 - val_sparse_categorical_accuracy: 0.8706\n",
      "Epoch 17/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2866 - sparse_categorical_accuracy: 0.8976 - val_loss: 0.3517 - val_sparse_categorical_accuracy: 0.8706\n",
      "Epoch 18/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.2809 - sparse_categorical_accuracy: 0.8995 - val_loss: 0.3506 - val_sparse_categorical_accuracy: 0.8704\n",
      "Epoch 19/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.2755 - sparse_categorical_accuracy: 0.9012 - val_loss: 0.3500 - val_sparse_categorical_accuracy: 0.8726\n",
      "Epoch 20/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2703 - sparse_categorical_accuracy: 0.9034 - val_loss: 0.3500 - val_sparse_categorical_accuracy: 0.8734\n",
      "Epoch 21/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 2ms/step - loss: 0.2653 - sparse_categorical_accuracy: 0.9050 - val_loss: 0.3484 - val_sparse_categorical_accuracy: 0.8732\n",
      "Epoch 22/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2604 - sparse_categorical_accuracy: 0.9071 - val_loss: 0.3483 - val_sparse_categorical_accuracy: 0.8732\n",
      "Epoch 23/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2558 - sparse_categorical_accuracy: 0.9087 - val_loss: 0.3482 - val_sparse_categorical_accuracy: 0.8742\n",
      "Epoch 24/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2513 - sparse_categorical_accuracy: 0.9104 - val_loss: 0.3483 - val_sparse_categorical_accuracy: 0.8740\n",
      "Epoch 25/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2470 - sparse_categorical_accuracy: 0.9121 - val_loss: 0.3479 - val_sparse_categorical_accuracy: 0.8750\n",
      "Epoch 26/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2427 - sparse_categorical_accuracy: 0.9137 - val_loss: 0.3470 - val_sparse_categorical_accuracy: 0.8746\n",
      "Epoch 27/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2386 - sparse_categorical_accuracy: 0.9153 - val_loss: 0.3469 - val_sparse_categorical_accuracy: 0.8748\n",
      "Epoch 28/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2346 - sparse_categorical_accuracy: 0.9170 - val_loss: 0.3470 - val_sparse_categorical_accuracy: 0.8758\n",
      "Epoch 29/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2306 - sparse_categorical_accuracy: 0.9189 - val_loss: 0.3470 - val_sparse_categorical_accuracy: 0.8760\n",
      "Epoch 30/30\n",
      "\u001b[1m1719/1719\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m4s\u001b[0m 2ms/step - loss: 0.2266 - sparse_categorical_accuracy: 0.9200 - val_loss: 0.3457 - val_sparse_categorical_accuracy: 0.8760\n"
     ]
    }
   ],
   "source": [
    "history = model.fit(X_train, y_train, epochs=30,\n",
    "                    validation_data=(X_valid, y_valid))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'verbose': 'auto', 'epochs': 30, 'steps': 1719}"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history.params"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]\n"
     ]
    }
   ],
   "source": [
    "print(history.epoch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "pd.DataFrame(history.history).plot(\n",
    "    figsize=(8, 5), xlim=[0, 29], ylim=[0, 1], grid=True, xlabel=\"Epoch\",\n",
    "    style=[\"r--\", \"r--.\", \"b-\", \"b-*\"])\n",
    "plt.legend(loc=\"lower left\")  # extra code\n",
    "save_fig(\"keras_learning_curves_plot\")  # extra code\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code – shows how to shift the training curve by -1/2 epoch\n",
    "plt.figure(figsize=(8, 5))\n",
    "for key, style in zip(history.history, [\"r--\", \"r--.\", \"b-\", \"b-*\"]):\n",
    "    epochs = np.array(history.epoch) + (0 if key.startswith(\"val_\") else -0.5)\n",
    "    plt.plot(epochs, history.history[key], style, label=key)\n",
    "plt.xlabel(\"Epoch\")\n",
    "plt.axis([-0.5, 29, 0., 1])\n",
    "plt.legend(loc=\"lower left\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m109/313\u001b[0m \u001b[32m━━━━━━\u001b[0m\u001b[37m━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 1ms/step - loss: 0.3542 - sparse_categorical_accuracy: 0.8762"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "W0000 00:00:1774940320.596303  439194 cpu_allocator_impl.cc:82] Allocation of 31360000 exceeds 10% of free system memory.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m313/313\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 2ms/step - loss: 0.3672 - sparse_categorical_accuracy: 0.8712\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[0.36717379093170166, 0.8712000250816345]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.evaluate(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the model to make predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 50ms/step\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[0.  , 0.  , 0.  , 0.  , 0.  , 0.3 , 0.  , 0.01, 0.  , 0.69],\n",
       "       [0.  , 0.  , 1.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 1.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ]],\n",
       "      dtype=float32)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_new = X_test[:3]\n",
    "y_proba = model.predict(X_new)\n",
    "y_proba.round(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9, 2, 1])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = y_proba.argmax(axis=-1)\n",
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Ankle boot', 'Pullover', 'Trouser'], dtype='<U11')"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(class_names)[y_pred]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9, 2, 1], dtype=uint8)"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_new = y_test[:3]\n",
    "y_new"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x240 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extra code – this cell generates and saves Figure 10–12\n",
    "plt.figure(figsize=(7.2, 2.4))\n",
    "for index, image in enumerate(X_new):\n",
    "    plt.subplot(1, 3, index + 1)\n",
    "    plt.imshow(image, cmap=\"binary\", interpolation=\"nearest\")\n",
    "    plt.axis('off')\n",
    "    plt.title(class_names[y_test[index]])\n",
    "plt.subplots_adjust(wspace=0.2, hspace=0.5)\n",
    "save_fig('fashion_mnist_images_plot', tight_layout=False)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.13.5"
  },
  "nav_menu": {
   "height": "264px",
   "width": "369px"
  },
  "toc": {
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 6,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
