{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MNIST 手寫數字辨識使用卷積神經網絡(CNN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![cnn](https://www.cntk.ai/jup/cntk103d_convonly2.png)\n",
    "\n",
    "圖片出處:[CNTK_103D_MNIST_ConvolutionalNeuralNetwork](https://cntk.ai/pythondocs/CNTK_103C_MNIST_MultiLayerPerceptron.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CNN 卷積神經網路簡介\n",
    "\n",
    "### STEP1. 卷積神經網路介紹\n",
    "\n",
    "CNN 卷積神經網路可以分成兩大部分:\n",
    "* 影像的特徵提取: 透過 Convolution 與 Max Pooling 提取影像特徵.\n",
    "* Fully connected Feedforward network: Flatten layers, hidden layers and output layers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![cnn](https://2.bp.blogspot.com/-lo4ANmafiQM/WVpEeo68VPI/AAAAAAAAWxE/7FJBUGp-GrQFL5fUYEg6tQAJWXUHrtgWgCLcBGAs/s1600/3812_1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP2. 卷積運算 (Convolution) \n",
    "\n",
    "卷積運算的原理是將一個影像透過卷積運算的 Filter weight(s) 產生多個影像, 在上面第一層的 Convolution 為例: \n",
    "1. 先以隨機方式產生 16 個 3x3 的 filter weight(s) \n",
    "2. 要轉換的影像由左而右, 由上而下透過 filter weight 產生新影像的值\n",
    "3. 使用 16 個 filter weight 產生 16 個影像 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![convolution](https://4.bp.blogspot.com/-65gO4Ylb-pU/WVpEj04De1I/AAAAAAAAWxI/Y3wX2OYjzJYddDYCaH24-Swmhj7Q9U8iACLcBGAs/s1600/3591_1.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP3. 池化運算 (Max-Pooling) \n",
    "Max-Pool 運算可以將影像縮減取樣 (downsampling), 如下圖: 原本影像是 4x4, 經過 Max-Pool 運算後, 影像大小為 2x2: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![maxpool](https://4.bp.blogspot.com/-HCaeeLJ9PSI/WVpEpg-qWiI/AAAAAAAAWxM/v4Qg8BAHuxAaC9Eoe2JZWY8jdt_vyCy8gCLcBGAs/s1600/3591_2.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "downsampling 有以下好處: \n",
    "* 減少需要處理的資料點: 減少後續運算所需時間.\n",
    "* 讓影像位置的差異變小: 例如手寫數字 7, 位置上下左右可能不同, 但是位置不同可能影響辨識. 減少影像大小讓數字的位置差異變小.\n",
    "* 參數的數量和計算量下降: 這在一定程度上也控制了 Overfitting 的狀況."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 進行資料前處理 (Preprocess) \n",
    "CNN (Convolution Neural Network) 與 MLP 進行資料的前處理方式有所不同, 說明如下: \n",
    "\n",
    "* MLP : image reshape (60000, 784): MLP 因為直接送進神經元處理, 所以 60,000 筆的每一筆圖像(28x28)轉換為 784 個神經元輸入。\n",
    "* CNN : image reshape (60000, 28, 28, 1): CNN 因為必須先進行卷積與池化 (Max-Pool) 運算, 所以必須保留影像的維度. 因此 60,000 筆的每一筆圖像(28x28)轉換成 28 (長) x 28(寬) x 1(圖像頻道) 的影像單位。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP1. 資料讀取與轉換"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "from keras.datasets import mnist  \n",
    "from keras.utils import np_utils  \n",
    "import numpy as np\n",
    "\n",
    "np.random.seed(10)  \n",
    "  \n",
    "# Read MNIST data  \n",
    "(X_Train, y_Train), (X_Test, y_Test) = mnist.load_data()  \n",
    "  \n",
    "# Translation of data  \n",
    "X_Train4D = X_Train.reshape(X_Train.shape[0], 28, 28, 1).astype('float32')  \n",
    "X_Test4D = X_Test.reshape(X_Test.shape[0], 28, 28, 1).astype('float32')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP2. 將 Features 進行標準化與 Label 的 Onehot encoding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Standardize feature data  \n",
    "X_Train4D_norm = X_Train4D / 255  \n",
    "X_Test4D_norm = X_Test4D /255  \n",
    "  \n",
    "# Label Onehot-encoding  \n",
    "y_TrainOneHot = np_utils.to_categorical(y_Train)\n",
    "y_TestOneHot = np_utils.to_categorical(y_Test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 建立模型(卷積神經網絡 CNN)\n",
    "\n",
    "接著會依照下面流程圖建立模型:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![cnn](https://4.bp.blogspot.com/-lo4ANmafiQM/WVpEeo68VPI/AAAAAAAAWxE/gVT33Q_dxqMxqZJfnbxS-fxl7ZdsntZcwCEwYBhgL/s1600/3812_1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP1. 建立卷積層與池化層"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from keras.models import Sequential  \n",
    "from keras.layers import Dense,Dropout,Flatten,Conv2D,MaxPool2D \n",
    "\n",
    "model = Sequential()  \n",
    "# Create CN layer 1  \n",
    "model.add(Conv2D(filters=16,  \n",
    "                 kernel_size=(5,5),  \n",
    "                 padding='same',  \n",
    "                 input_shape=(28,28,1),  \n",
    "                 activation='relu',\n",
    "                 name='conv2d_1')) \n",
    "# Create Max-Pool 1  \n",
    "model.add(MaxPool2D(pool_size=(2,2), name='max_pooling2d_1'))  \n",
    "  \n",
    "# Create CN layer 2  \n",
    "model.add(Conv2D(filters=36,  \n",
    "                 kernel_size=(5,5),  \n",
    "                 padding='same',  \n",
    "                 input_shape=(28,28,1),  \n",
    "                 activation='relu',\n",
    "                 name='conv2d_2'))  \n",
    "  \n",
    "# Create Max-Pool 2  \n",
    "model.add(MaxPool2D(pool_size=(2,2), name='max_pooling2d_2'))  \n",
    "  \n",
    "# Add Dropout layer  \n",
    "model.add(Dropout(0.25, name='dropout_1'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP2. 建立神經網路"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 建立平坦層 \n",
    "下面程式碼建立平坦層, 將之前步驟已經建立的池化層2, 共有 36 個 7x7 維度的影像轉換成 1 維向量, 長度是 36x7x7 = 1764, 也就是對應到 1764 個神經元: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model.add(Flatten(name='flatten_1'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 建立 Hidden layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model.add(Dense(128, activation='relu', name='dense_1'))  \n",
    "model.add(Dropout(0.5, name='dropout_2'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 建立輸出層\n",
    "\n",
    "最後建立輸出層, 共有 10 個神經元, 對應到 0~9 共 10 個數字. 並使用 softmax 激活函數 進行轉換 (softmax 函數可以將神經元的輸出轉換成每一個數字的機率):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model.add(Dense(10, activation='softmax', name='dense_2'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP3. 查看模型的摘要"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "conv2d_1 (Conv2D)            (None, 28, 28, 16)        416       \n",
      "_________________________________________________________________\n",
      "max_pooling2d_1 (MaxPooling2 (None, 14, 14, 16)        0         \n",
      "_________________________________________________________________\n",
      "conv2d_2 (Conv2D)            (None, 14, 14, 36)        14436     \n",
      "_________________________________________________________________\n",
      "max_pooling2d_2 (MaxPooling2 (None, 7, 7, 36)          0         \n",
      "_________________________________________________________________\n",
      "dropout_1 (Dropout)          (None, 7, 7, 36)          0         \n",
      "_________________________________________________________________\n",
      "flatten_1 (Flatten)          (None, 1764)              0         \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 128)               225920    \n",
      "_________________________________________________________________\n",
      "dropout_2 (Dropout)          (None, 128)               0         \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 10)                1290      \n",
      "=================================================================\n",
      "Total params: 242,062\n",
      "Trainable params: 242,062\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n",
      "\n"
     ]
    }
   ],
   "source": [
    "model.summary()  \n",
    "print(\"\")  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![cnn](https://3.bp.blogspot.com/-fHmURvhoPGE/WVpEw-lv1HI/AAAAAAAAWxQ/oClbewBNDTc6YRL9iWbzL67ZwZ2FAWyygCLcBGAs/s1600/3591_3.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 進行訓練\n",
    "接著我們使用 Back Propagation 進行訓練。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP1. 定義訓練並進行訓練"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 48000 samples, validate on 12000 samples\n",
      "Epoch 1/10\n",
      "48000/48000 [==============================] - 98s - loss: 0.4874 - acc: 0.8477 - val_loss: 0.0964 - val_acc: 0.9722\n",
      "Epoch 2/10\n",
      "48000/48000 [==============================] - 105s - loss: 0.1409 - acc: 0.9587 - val_loss: 0.0634 - val_acc: 0.9799\n",
      "Epoch 3/10\n",
      "48000/48000 [==============================] - 105s - loss: 0.1029 - acc: 0.9690 - val_loss: 0.0517 - val_acc: 0.9837\n",
      "Epoch 4/10\n",
      "48000/48000 [==============================] - 107s - loss: 0.0851 - acc: 0.9747 - val_loss: 0.0456 - val_acc: 0.9862\n",
      "Epoch 5/10\n",
      "48000/48000 [==============================] - 103s - loss: 0.0717 - acc: 0.9785 - val_loss: 0.0397 - val_acc: 0.9868\n",
      "Epoch 6/10\n",
      "48000/48000 [==============================] - 101s - loss: 0.0648 - acc: 0.9807 - val_loss: 0.0394 - val_acc: 0.9884\n",
      "Epoch 7/10\n",
      "48000/48000 [==============================] - 104s - loss: 0.0566 - acc: 0.9829 - val_loss: 0.0418 - val_acc: 0.9873\n",
      "Epoch 8/10\n",
      "48000/48000 [==============================] - 100s - loss: 0.0513 - acc: 0.9844 - val_loss: 0.0341 - val_acc: 0.9903\n",
      "Epoch 9/10\n",
      "48000/48000 [==============================] - 103s - loss: 0.0451 - acc: 0.9864 - val_loss: 0.0341 - val_acc: 0.9904\n",
      "Epoch 10/10\n",
      "48000/48000 [==============================] - 105s - loss: 0.0430 - acc: 0.9870 - val_loss: 0.0342 - val_acc: 0.9901\n"
     ]
    }
   ],
   "source": [
    "# 定義訓練方式  \n",
    "model.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])  \n",
    "  \n",
    "# 開始訓練  \n",
    "train_history = model.fit(x=X_Train4D_norm,  \n",
    "                          y=y_TrainOneHot, validation_split=0.2,  \n",
    "                          epochs=10, batch_size=300, verbose=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在 compile 方法中: \n",
    "* loss: 設定 Loss Function, 這邊選定 Cross Entropy 作為 Loss Function.\n",
    "* optimizer: 設定訓練時的優化方法, 在深度學習使用 adam (Adam: A Method for Stochastic Optimization) 可以更快收斂, 並提高準確率.\n",
    "* metrics: 設定評估模型的方式是 accuracy 準確率."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP2. 畫出 accuracy 執行結果\n",
    "\n",
    "之前的訓練步驟產生的 accuracy 與 loss 都會記錄在 train_history 變數. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt  \n",
    "def plot_image(image):  \n",
    "    fig = plt.gcf()  \n",
    "    fig.set_size_inches(2,2)  \n",
    "    plt.imshow(image, cmap='binary')  \n",
    "    plt.show()  \n",
    "  \n",
    "def plot_images_labels_predict(images, labels, prediction, idx, num=10):  \n",
    "    fig = plt.gcf()  \n",
    "    fig.set_size_inches(12, 14)  \n",
    "    if num > 25: num = 25  \n",
    "    for i in range(0, num):  \n",
    "        ax=plt.subplot(5,5, 1+i)  \n",
    "        ax.imshow(images[idx], cmap='binary')  \n",
    "        title = \"l=\" + str(labels[idx])  \n",
    "        if len(prediction) > 0:  \n",
    "            title = \"l={},p={}\".format(str(labels[idx]), str(prediction[idx]))  \n",
    "        else:  \n",
    "            title = \"l={}\".format(str(labels[idx]))  \n",
    "        ax.set_title(title, fontsize=10)  \n",
    "        ax.set_xticks([]); ax.set_yticks([])  \n",
    "        idx+=1  \n",
    "    plt.show()  \n",
    "  \n",
    "def show_train_history(train_history, train, validation):  \n",
    "    plt.plot(train_history.history[train])  \n",
    "    plt.plot(train_history.history[validation])  \n",
    "    plt.title('Train History')  \n",
    "    plt.ylabel(train)  \n",
    "    plt.xlabel('Epoch')  \n",
    "    plt.legend(['train', 'validation'], loc='upper left')  \n",
    "    plt.show() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用函數 show_train_history 顯示 accuracy 在 train 與 evaluation 的差異與 loss 在 train 與 evaluation 的差異如下: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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t8TbOnF9MWUFO1KWIiJwyBUaauTv18VaNvxCRWU+BkWYNR47SenRA/RciMusp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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x89c8b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_train_history(train_history, 'acc', 'val_acc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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egFAurH0/bLoNltSd//GziLtz6GRXvCWx9eAp9h3vAIIup9WLS9lYG7Qk6pdF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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x89c8b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_train_history(train_history, 'loss', 'val_loss')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 評估模型準確率與進行預測\n",
    "\n",
    "我們已經完成訓練, 接下來要使用 test 測試資料集來評估準確率。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP1. 評估模型準確率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 9984/10000 [============================>.] - ETA: 0s\n",
      "\t[Info] Accuracy of testing data = 99.1%\n"
     ]
    }
   ],
   "source": [
    "scores = model.evaluate(X_Test4D_norm, y_TestOneHot)  \n",
    "print()  \n",
    "print(\"\\t[Info] Accuracy of testing data = {:2.1f}%\".format(scores[1]*100.0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP2. 預測結果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t[Info] Making prediction of X_Test4D_norm\n",
      " 9984/10000 [============================>.] - ETA: 0s\n",
      "\t[Info] Show 10 prediction result (From 240):\n",
      "[5 9 8 7 2 3 0 4 4 2]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\"\\t[Info] Making prediction of X_Test4D_norm\")  \n",
    "prediction = model.predict_classes(X_Test4D_norm)  # Making prediction and save result to prediction  \n",
    "print()  \n",
    "print(\"\\t[Info] Show 10 prediction result (From 240):\")  \n",
    "print(\"%s\\n\" % (prediction[240:250]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP3. 顯示前 10 筆預測結果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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G1+Pu/clFRPr3769y69atVd65c2eg55w7d67KH3/8cdQx3333ncoTJkxQuUyZMoGeE/H1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\nAOCt/wc8f4gmZBTC+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x89c8a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_images_labels_predict(X_Test, y_Test, prediction, idx=240)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 總結 (Conclusion)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在這篇文章中有一些個人學習到的一些有趣的重點:\n",
    "\n",
    "* Mnist的手寫資料集雖然很簡單, 但對很多不熟悉把圖像處理的人來說, Mnist絕對是一個合適用來做練習與講解的好資料集\n",
    "* 需要了解網絡的結構與不同網絡層輸入輸出的張量的結構才能夠清楚地構建一個對的模型"
   ]
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    "參考:\n",
    "* [程式扎記-Keras - MNIST 手寫數字辨識使用 CNN](http://puremonkey2010.blogspot.tw/2017/06/toolkit-keras-mnist.html)\n",
    "* [林大貴 - TensorFlow+Keras深度學習人工智慧實務應用](http://tensorflowkeras.blogspot.com)"
   ]
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