1. ANN/1.1.1 Perceptron and Adaline.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### (exceprt from Python Machine Learning Essentials, Supplementary Materials)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sections\n",
    "\n",
    "- [Implementing a perceptron learning algorithm in Python](#Implementing-a-perceptron-learning-algorithm-in-Python)\n",
    "    - [Training a perceptron model on the Iris dataset](#Training-a-perceptron-model-on-the-Iris-dataset)\n",
    "- [Adaptive linear neurons and the convergence of learning](#Adaptive-linear-neurons-and-the-convergence-of-learning)\n",
    "    - [Implementing an adaptive linear neuron in Python](#Implementing-an-adaptive-linear-neuron-in-Python)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Display plots in notebook \n",
    "%matplotlib inline\n",
    "# Define plot's default figure size\n",
    "import matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementing a perceptron learning algorithm in Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "class Perceptron(object):\n",
    "    \"\"\"Perceptron classifier.\n",
    "\n",
    "    Parameters\n",
    "    ------------\n",
    "    eta : float\n",
    "        Learning rate (between 0.0 and 1.0)\n",
    "    n_iter : int\n",
    "        Passes over the training dataset.\n",
    "\n",
    "    Attributes\n",
    "    -----------\n",
    "    w_ : 1d-array\n",
    "        Weights after fitting.\n",
    "    errors_ : list\n",
    "        Number of misclassifications in every epoch.\n",
    "\n",
    "    \"\"\"\n",
    "    def __init__(self, eta=0.01, n_iter=10):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        \"\"\"Fit training data.\n",
    "\n",
    "        Parameters\n",
    "        ----------\n",
    "        X : {array-like}, shape = [n_samples, n_features]\n",
    "            Training vectors, where n_samples is the number of samples and\n",
    "            n_features is the number of features.\n",
    "        y : array-like, shape = [n_samples]\n",
    "            Target values.\n",
    "\n",
    "        Returns\n",
    "        -------\n",
    "        self : object\n",
    "\n",
    "        \"\"\"\n",
    "        self.w_ = np.zeros(1 + X.shape[1])\n",
    "        self.errors_ = []\n",
    "\n",
    "        for _ in range(self.n_iter):\n",
    "            errors = 0\n",
    "            for xi, target in zip(X, y):\n",
    "                update = self.eta * (target - self.predict(xi))\n",
    "                self.w_[1:] += update * xi\n",
    "                self.w_[0] += update\n",
    "                errors += int(update != 0.0)\n",
    "            self.errors_.append(errors)\n",
    "        return self\n",
    "\n",
    "    def net_input(self, X):\n",
    "        \"\"\"Calculate net input\"\"\"\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def predict(self, X):\n",
    "        \"\"\"Return class label after unit step\"\"\"\n",
    "        return np.where(self.net_input(X) >= 0.0, 1, -1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training a perceptron model on the Iris dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Reading-in the Iris data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "      <th>label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>6.7</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.3</td>\n",
       "      <td>virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.9</td>\n",
       "      <td>virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>6.5</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.2</td>\n",
       "      <td>2.0</td>\n",
       "      <td>virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>6.2</td>\n",
       "      <td>3.4</td>\n",
       "      <td>5.4</td>\n",
       "      <td>2.3</td>\n",
       "      <td>virginica</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>5.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.1</td>\n",
       "      <td>1.8</td>\n",
       "      <td>virginica</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)  \\\n",
       "145                6.7               3.0                5.2               2.3   \n",
       "146                6.3               2.5                5.0               1.9   \n",
       "147                6.5               3.0                5.2               2.0   \n",
       "148                6.2               3.4                5.4               2.3   \n",
       "149                5.9               3.0                5.1               1.8   \n",
       "\n",
       "         label  \n",
       "145  virginica  \n",
       "146  virginica  \n",
       "147  virginica  \n",
       "148  virginica  \n",
       "149  virginica  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "iris = load_iris()\n",
    "X = iris.data\n",
    "y = iris.target\n",
    "data = np.hstack((X, y[:, np.newaxis]))\n",
    "\n",
    "labels = iris.target_names\n",
    "features = iris.feature_names\n",
    "\n",
    "df = pd.DataFrame(data, columns=iris.feature_names+['label'])\n",
    "df.label = df.label.map({k:v for k,v in enumerate(labels)})\n",
    "df.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plotting the Iris data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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YB916USQhkjwVQ1KvHQhzviNsvyb1MyaNEr9IRJI+FUNNTXAUPGdO8BzVecK45dOvHfUz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fcf72e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# select setosa and versicolor\n",
    "y = df.iloc[0:100, 4].values\n",
    "y = np.where(y == 'setosa', -1, 1)\n",
    "\n",
    "# extract sepal length and petal length\n",
    "X = df.iloc[0:100, [0, 2]].values\n",
    "\n",
    "# plot data\n",
    "plt.scatter(X[:50, 0], X[:50, 1],\n",
    "            color='red', marker='o', label='setosa')\n",
    "plt.scatter(X[50:100, 0], X[50:100, 1],\n",
    "            color='blue', marker='x', label='versicolor')\n",
    "\n",
    "plt.xlabel('petal length [cm]')\n",
    "plt.ylabel('sepal length [cm]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Training the perceptron model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/HmbMgIcfTjqJSHrEVaSWAb2TWK+vTg4VKSkaH38Me+0FkyeHi31FJL4VJ+YB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\n4toAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c5f6d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ppn = Perceptron(eta=0.1, n_iter=10)\n",
    "\n",
    "ppn.fit(X, y)\n",
    "\n",
    "plt.plot(range(1, len(ppn.errors_) + 1), ppn.errors_, marker='o')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Number of misclassifications')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### A function for plotting decision regions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "\n",
    "def plot_decision_regions(X, y, classifier, resolution=0.02):\n",
    "\n",
    "    # setup marker generator and color map\n",
    "    markers = ('s', 'x', 'o', '^', 'v')\n",
    "    colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
    "    cmap = ListedColormap(colors[:len(np.unique(y))])\n",
    "\n",
    "    # plot the decision surface\n",
    "    x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "    x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
    "    xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n",
    "                         np.arange(x2_min, x2_max, resolution))\n",
    "    Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
    "    Z = Z.reshape(xx1.shape)\n",
    "    plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n",
    "    plt.xlim(xx1.min(), xx1.max())\n",
    "    plt.ylim(xx2.min(), xx2.max())\n",
    "\n",
    "    # plot class samples\n",
    "    for idx, cl in enumerate(np.unique(y)):\n",
    "        plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1],\n",
    "                    alpha=0.8, c=cmap(idx),\n",
    "                    marker=markers[idx], label=cl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ISH4pJ5UDGpsjInmlIJUDGpsjInmVmSC1ctWqwe8XtrWxcPbsOrZGRETStKar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\nzPr/iF/1CqfAEx4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111fc1be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X, y, classifier=ppn)\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.ylabel('petal length [cm]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adaptive linear neurons and the convergence of learning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementing an adaptive linear neuron in Python"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class AdalineGD(object):\n",
    "    \"\"\"ADAptive LInear NEuron classifier.\n",
    "\n",
    "    Parameters\n",
    "    ------------\n",
    "    eta : float\n",
    "        Learning rate (between 0.0 and 1.0)\n",
    "    n_iter : int\n",
    "        Passes over the training dataset.\n",
    "\n",
    "    Attributes\n",
    "    -----------\n",
    "    w_ : 1d-array\n",
    "        Weights after fitting.\n",
    "    errors_ : list\n",
    "        Number of misclassifications in every epoch.\n",
    "\n",
    "    \"\"\"\n",
    "    def __init__(self, eta=0.01, n_iter=50):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        \"\"\" Fit training data.\n",
    "\n",
    "        Parameters\n",
    "        ----------\n",
    "        X : {array-like}, shape = [n_samples, n_features]\n",
    "            Training vectors, where n_samples is the number of samples and\n",
    "            n_features is the number of features.\n",
    "        y : array-like, shape = [n_samples]\n",
    "            Target values.\n",
    "\n",
    "        Returns\n",
    "        -------\n",
    "        self : object\n",
    "\n",
    "        \"\"\"\n",
    "        self.w_ = np.zeros(1 + X.shape[1])\n",
    "        self.cost_ = []\n",
    "\n",
    "        for i in range(self.n_iter):\n",
    "            output = self.net_input(X)\n",
    "            errors = (y - output)\n",
    "            self.w_[1:] += self.eta * X.T.dot(errors)\n",
    "            self.w_[0] += self.eta * errors.sum()\n",
    "            cost = (errors**2).sum() / 2.0\n",
    "            self.cost_.append(cost)\n",
    "        return self\n",
    "\n",
    "    def net_input(self, X):\n",
    "        \"\"\"Calculate net input\"\"\"\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def activation(self, X):\n",
    "        \"\"\"Compute linear activation\"\"\"\n",
    "        return self.net_input(X)\n",
    "\n",
    "    def predict(self, X):\n",
    "        \"\"\"Return class label after unit step\"\"\"\n",
    "        return np.where(self.activation(X) >= 0.0, 1, -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ae+8kzzQ7yWlqKweRbDJ7NgwYAH37wu23a5PCHLCGu98N1AG4+yLglzSuuxI4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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e3ed128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n",
    "\n",
    "ada1 = AdalineGD(n_iter=10, eta=0.01).fit(X, y)\n",
    "ax[0].plot(range(1, len(ada1.cost_) + 1), np.log10(ada1.cost_), marker='o')\n",
    "ax[0].set_xlabel('Epochs')\n",
    "ax[0].set_ylabel('log(Sum-squared-error)')\n",
    "ax[0].set_title('Adaline - Learning rate 0.01')\n",
    "\n",
    "ada2 = AdalineGD(n_iter=10, eta=0.0001).fit(X, y)\n",
    "ax[1].plot(range(1, len(ada2.cost_) + 1), ada2.cost_, marker='o')\n",
    "ax[1].set_xlabel('Epochs')\n",
    "ax[1].set_ylabel('Sum-squared-error')\n",
    "ax[1].set_title('Adaline - Learning rate 0.0001')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Standardizing features and re-training adaline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# standardize features\n",
    "X_std = np.copy(X)\n",
    "X_std[:,0] = (X[:,0] - X[:,0].mean()) / X[:,0].std()\n",
    "X_std[:,1] = (X[:,1] - X[:,1].mean()) / X[:,1].std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NahpZmW8usLq24ZiZmXXIk6SWRsS1NY/EzMysizxJaqak75DdE7XmORIRcVfN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\nKz52ZFq+L7A0IpaTld6eSu/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fd9b668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Pr2D+/PYnZezYAVu3Bjcw7/1o63hBQVCsPviggm3bWp7/uOPmctll5eyzD20+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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1120486a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ada = AdalineGD(n_iter=15, eta=0.01)\n",
    "ada.fit(X_std, y)\n",
    "\n",
    "plot_decision_regions(X_std, y, classifier=ada)\n",
    "plt.title('Adaline - Gradient Descent')\n",
    "plt.xlabel('sepal length [standardized]')\n",
    "plt.ylabel('petal length [standardized]')\n",
    "plt.legend(loc='upper left')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Sum-squared-error')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Large scale machine learning and stochastic gradient descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from numpy.random import seed\n",
    "\n",
    "class AdalineSGD(object):\n",
    "    \"\"\"ADAptive LInear NEuron classifier.\n",
    "\n",
    "    Parameters\n",
    "    ------------\n",
    "    eta : float\n",
    "        Learning rate (between 0.0 and 1.0)\n",
    "    n_iter : int\n",
    "        Passes over the training dataset.\n",
    "\n",
    "    Attributes\n",
    "    -----------\n",
    "    w_ : 1d-array\n",
    "        Weights after fitting.\n",
    "    errors_ : list\n",
    "        Number of misclassifications in every epoch.\n",
    "    shuffle : bool (default: True)\n",
    "        Shuffles training data every epoch if True to prevent cycles.\n",
    "    random_state : int (default: None)\n",
    "        Set random state for shuffling and initializing the weights.\n",
    "        \n",
    "    \"\"\"\n",
    "    def __init__(self, eta=0.01, n_iter=10, shuffle=True, random_state=None):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "        self.w_initialized = False\n",
    "        self.shuffle = shuffle\n",
    "        if random_state:\n",
    "            seed(random_state)\n",
    "        \n",
    "    def fit(self, X, y):\n",
    "        \"\"\" Fit training data.\n",
    "\n",
    "        Parameters\n",
    "        ----------\n",
    "        X : {array-like}, shape = [n_samples, n_features]\n",
    "            Training vectors, where n_samples is the number of samples and\n",
    "            n_features is the number of features.\n",
    "        y : array-like, shape = [n_samples]\n",
    "            Target values.\n",
    "\n",
    "        Returns\n",
    "        -------\n",
    "        self : object\n",
    "\n",
    "        \"\"\"\n",
    "        self._initialize_weights(X.shape[1])\n",
    "        self.cost_ = []\n",
    "        for i in range(self.n_iter):\n",
    "            if self.shuffle:\n",
    "                X, y = self._shuffle(X, y)\n",
    "            cost = []\n",
    "            for xi, target in zip(X, y):\n",
    "                cost.append(self._update_weights(xi, target))\n",
    "            avg_cost = sum(cost)/len(y)\n",
    "            self.cost_.append(avg_cost)\n",
    "        return self\n",
    "\n",
    "    def partial_fit(self, X, y):\n",
    "        \"\"\"Fit training data without reinitializing the weights\"\"\"\n",
    "        if not self.w_initialized:\n",
    "            self._initialize_weights(X.shape[1])\n",
    "        if y.ravel().shape[0] > 1:\n",
    "            for xi, target in zip(X, y):\n",
    "                self._update_weights(xi, target)\n",
    "        else:\n",
    "            self._update_weights(X, y)\n",
    "        return self\n",
    "\n",
    "    def _shuffle(self, X, y):\n",
    "        \"\"\"Shuffle training data\"\"\"\n",
    "        r = np.random.permutation(len(y))\n",
    "        return X[r], y[r]\n",
    "    \n",
    "    def _initialize_weights(self, m):\n",
    "        \"\"\"Initialize weights to zeros\"\"\"\n",
    "        self.w_ = np.zeros(1 + m)\n",
    "        self.w_initialized = True\n",
    "        \n",
    "    def _update_weights(self, xi, target):\n",
    "        \"\"\"Apply Adaline learning rule to update the weights\"\"\"\n",
    "        output = self.net_input(xi)\n",
    "        error = (target - output)\n",
    "        self.w_[1:] += self.eta * xi.dot(error)\n",
    "        self.w_[0] += self.eta * error\n",
    "        cost = 0.5 * error**2\n",
    "        return cost\n",
    "    \n",
    "    def net_input(self, X):\n",
    "        \"\"\"Calculate net input\"\"\"\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def activation(self, X):\n",
    "        \"\"\"Compute linear activation\"\"\"\n",
    "        return self.net_input(X)\n",
    "\n",
    "    def predict(self, X):\n",
    "        \"\"\"Return class label after unit step\"\"\"\n",
    "        return np.where(self.activation(X) >= 0.0, 1, -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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R4Vd7TDezPurP7eNr6Q7gDZLGAH8FPgp8rLEhWbPozaCi5ZIPAJuTvvsztsxK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\n20i6JW3jPkkHSJoKbJSWXZn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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc9c588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Szy2KY46BlSuTQRRmZtZ7lYTUZ4DnSJaK/7/Aj4F/qfD8JwJrI6ItIrYBC4HppTtExFMR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\nIWVmZoX1/wFJD5f9DSScgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112454748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ada = AdalineSGD(n_iter=15, eta=0.01, random_state=1)\n",
    "ada.fit(X_std, y)\n",
    "\n",
    "plot_decision_regions(X_std, y, classifier=ada)\n",
    "plt.title('Adaline - Stochastic Gradient Descent')\n",
    "plt.xlabel('sepal length [standardized]')\n",
    "plt.ylabel('petal length [standardized]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Average Cost')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<__main__.AdalineSGD at 0x112023cf8>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ada.partial_fit(X_std[0, :], y[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}