hands-on/03_classification.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Chapter 3 – Classification**\n",
    "\n",
    "_This notebook contains all the sample code and solutions to the exercices in chapter 3._"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# To support both python 2 and python 3\n",
    "from __future__ import division, print_function, unicode_literals\n",
    "\n",
    "# Common imports\n",
    "import numpy as np\n",
    "import os\n",
    "\n",
    "# to make this notebook's output stable across runs\n",
    "np.random.seed(42)\n",
    "\n",
    "# To plot pretty figures\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.labelsize'] = 14\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "\n",
    "# Where to save the figures\n",
    "PROJECT_ROOT_DIR = \".\"\n",
    "CHAPTER_ID = \"classification\"\n",
    "\n",
    "def save_fig(fig_id, tight_layout=True):\n",
    "    path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
    "    print(\"Saving figure\", fig_id)\n",
    "    if tight_layout:\n",
    "        plt.tight_layout()\n",
    "    plt.savefig(path, format='png', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MNIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'COL_NAMES': ['label', 'data'],\n",
       " 'DESCR': 'mldata.org dataset: mnist-original',\n",
       " 'data': array([[0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        ..., \n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0],\n",
       "        [0, 0, 0, ..., 0, 0, 0]], dtype=uint8),\n",
       " 'target': array([ 0.,  0.,  0., ...,  9.,  9.,  9.])}"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_mldata\n",
    "mnist = fetch_mldata('MNIST original')\n",
    "mnist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000, 784)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X, y = mnist[\"data\"], mnist[\"target\"]\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(70000,)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "784"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "28*28"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure some_digit_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARoAAAEYCAYAAACDezmxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c31ed31d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "some_digit = X[36000]\n",
    "some_digit_image = some_digit.reshape(28, 28)\n",
    "plt.imshow(some_digit_image, cmap = matplotlib.cm.binary,\n",
    "           interpolation=\"nearest\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "save_fig(\"some_digit_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_digit(data):\n",
    "    image = data.reshape(28, 28)\n",
    "    plt.imshow(image, cmap = matplotlib.cm.binary,\n",
    "               interpolation=\"nearest\")\n",
    "    plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# EXTRA\n",
    "def plot_digits(instances, images_per_row=10, **options):\n",
    "    size = 28\n",
    "    images_per_row = min(len(instances), images_per_row)\n",
    "    images = [instance.reshape(size,size) for instance in instances]\n",
    "    n_rows = (len(instances) - 1) // images_per_row + 1\n",
    "    row_images = []\n",
    "    n_empty = n_rows * images_per_row - len(instances)\n",
    "    images.append(np.zeros((size, size * n_empty)))\n",
    "    for row in range(n_rows):\n",
    "        rimages = images[row * images_per_row : (row + 1) * images_per_row]\n",
    "        row_images.append(np.concatenate(rimages, axis=1))\n",
    "    image = np.concatenate(row_images, axis=0)\n",
    "    plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n",
    "    plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure more_digits_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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ao9eEJLVFilp44YWBkNR07NgxlbEpNdN7Tm099JlVU2gICVCc9riV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Rh2UdB3/csvvwBw+eWXA3DNNdcAcNhhh6XW1VXx/PPPn+QQa+X9998H0rfjxx57DIBx48alrdu0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\nkqj9Y4cddgBgl112A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YOkRy9Z3bzEEktUHt966635DaybvP766wCMGjUKCE0e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\nxhiTwheJxhhjjDEmhS8SjTHGGGNMiv8DNQurkwKdbjkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1b982b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,9))\n",
    "example_images = np.r_[X[:12000:600], X[13000:30600:600], X[30600:60000:590]]\n",
    "plot_digits(example_images, images_per_row=10)\n",
    "save_fig(\"more_digits_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y[36000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = X[:60000], X[60000:], y[:60000], y[60000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "shuffle_index = np.random.permutation(60000)\n",
    "X_train, y_train = X_train[shuffle_index], y_train[shuffle_index]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Binary classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_train_5 = (y_train == 5)\n",
    "y_test_5 = (y_test == 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SGDClassifier(alpha=0.0001, average=False, class_weight=None, epsilon=0.1,\n",
       "       eta0=0.0, fit_intercept=True, l1_ratio=0.15,\n",
       "       learning_rate='optimal', loss='hinge', n_iter=5, n_jobs=1,\n",
       "       penalty='l2', power_t=0.5, random_state=42, shuffle=True, verbose=0,\n",
       "       warm_start=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import SGDClassifier\n",
    "\n",
    "sgd_clf = SGDClassifier(random_state=42)\n",
    "sgd_clf.fit(X_train, y_train_5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True], dtype=bool)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.9502 ,  0.96565,  0.96495])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "cross_val_score(sgd_clf, X_train, y_train_5, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9502\n",
      "0.96565\n",
      "0.96495\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import StratifiedKFold\n",
    "from sklearn.base import clone\n",
    "\n",
    "skfolds = StratifiedKFold(n_splits=3, random_state=42)\n",
    "\n",
    "for train_index, test_index in skfolds.split(X_train, y_train_5):\n",
    "    clone_clf = clone(sgd_clf)\n",
    "    X_train_folds = X_train[train_index]\n",
    "    y_train_folds = (y_train_5[train_index])\n",
    "    X_test_fold = X_train[test_index]\n",
    "    y_test_fold = (y_train_5[test_index])\n",
    "\n",
    "    clone_clf.fit(X_train_folds, y_train_folds)\n",
    "    y_pred = clone_clf.predict(X_test_fold)\n",
    "    n_correct = sum(y_pred == y_test_fold)\n",
    "    print(n_correct / len(y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.base import BaseEstimator\n",
    "class Never5Classifier(BaseEstimator):\n",
    "    def fit(self, X, y=None):\n",
    "        pass\n",
    "    def predict(self, X):\n",
    "        return np.zeros((len(X), 1), dtype=bool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.909  ,  0.90715,  0.9128 ])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "never_5_clf = Never5Classifier()\n",
    "cross_val_score(never_5_clf, X_train, y_train_5, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_predict\n",
    "\n",
    "y_train_pred = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[53272,  1307],\n",
       "       [ 1077,  4344]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "confusion_matrix(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_train_perfect_predictions = y_train_5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[54579,     0],\n",
       "       [    0,  5421]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_train_5, y_train_perfect_predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.76871350203503808"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import precision_score, recall_score\n",
    "\n",
    "precision_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7687135020350381"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + 1307)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.80132816823464303"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.801328168234643"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + 1077)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.78468208092485547"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import f1_score\n",
    "f1_score(y_train_5, y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7846820809248555"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4344 / (4344 + (1077 + 1307)/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 161855.74572176])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_scores = sgd_clf.decision_function([some_digit])\n",
    "y_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "threshold = 0\n",
    "y_some_digit_pred = (y_scores > threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True], dtype=bool)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_some_digit_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False], dtype=bool)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "threshold = 200000\n",
    "y_some_digit_pred = (y_scores > threshold)\n",
    "y_some_digit_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_scores = cross_val_predict(sgd_clf, X_train, y_train_5, cv=3,\n",
    "                             method=\"decision_function\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import precision_recall_curve\n",
    "\n",
    "precisions, recalls, thresholds = precision_recall_curve(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure precision_recall_vs_threshold_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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MmDFordm+fXtK0dO+fXsuXLjA+++/n1LgvPHGG3h7e/PHH3/g6uoKQKtWrdK9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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c180ed748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_precision_recall_vs_threshold(precisions, recalls, thresholds):\n",
    "    plt.plot(thresholds, precisions[:-1], \"b--\", label=\"Precision\", linewidth=2)\n",
    "    plt.plot(thresholds, recalls[:-1], \"g-\", label=\"Recall\", linewidth=2)\n",
    "    plt.xlabel(\"Threshold\", fontsize=16)\n",
    "    plt.legend(loc=\"upper left\", fontsize=16)\n",
    "    plt.ylim([0, 1])\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plot_precision_recall_vs_threshold(precisions, recalls, thresholds)\n",
    "plt.xlim([-700000, 700000])\n",
    "save_fig(\"precision_recall_vs_threshold_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(y_train_pred == (y_scores > 0)).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_train_pred_90 = (y_scores > 70000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.86592051164915484"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "precision_score(y_train_5, y_train_pred_90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.69931746910164172"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred_90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure precision_vs_recall_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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pXVG50iRJUk8NHFiaYRzgrLOKq6UIPuhPkqQG9c1vwmGH5fbFFxdaSs2tNuBE\nxPKI2L6lvaJlvavXsuqXLEmSuuvII0vtv/2tuDpqrTtjcM4EZrZpp+qVI0mSKmmHHUrtW25pv97I\nIqXGyivNzc1p2rRpRZchSVLdOOgguPJKeOtb4Z//LLqa7omIu1NKzT39fLlzUQ2KiGFdvDcsIgb1\ntBBJklQdn/xkXt5zDyxfXmwttVLuIOMfAj/o4r3vt7wkSVId2XXXUnubbYqro5bKDTi7A7/q4r0b\ngD16VY0kSaq4QW2ur/z73/Dgg8XVUivlBpz1gRe7eG82MLp35UiSpGpYuLDUfstbiqujVsoNOC8C\nW3fx3tbA3N6VI0mSqmH4cDj//NL6KacUV0stlBtwbgROi4h2V/AiYmvgK8CvK1WYJEmqrOOOK7XP\nPbe4Omqh3IBzOvAScHdE3BURv4iIvwD/JM8k3k8nZZckqf5FwO9+V1p/7bXiaqm2sgJOSmkO8Hbg\nXCCAbVuWXwfe3vK+JEmqU7vvXmpvvHFhZVRdWbOJA6SUXiL35Jxe+XIkSVI1DRoE++wD118Ps2fD\nsmXQVHYaqH89mmwzItaNiA9ExKERMbJl25CIcPJOSZLq3HXXldrz5xdXRzWV+yTjiIjzyHNT3QD8\nCJjQ8vavyAONJUlSHYuAceNye06DDi4pt8flZOAY8qSb7yCPv2n1a+ADFapLkiRV0TPP5GWj3i5e\nbsD5FHBmSukc8p1TbT0GbFaRqiRJUlVtt11eNupTjcsNOGOAv3Xx3hKg04k4JUlSfTnvvLx89FG4\n9tpia6mGcgPOs0BXD3ieBMzoXTmSJKkW3vWuUvujHy2ujmopN+BcA5weETu32ZYiYgvgC8DVFatM\nkiRVTQT8+c+l9eeeK6yUqig34JwBPATcDjzasu0a4F8t6/9bscokSVJVvfOdpfanP11cHdVQ7pOM\nXwN2Bw4D7gJ+D0wFjgD2TCktqXB9kiSpilovT918c7F1VFq3n10YEYOA9wH3p5SuAK6oWlWSJKkm\nzjwTfvnL3H75ZVhrrWLrqZRu9+CklJYCv6D0YD9JktTHvelNpfaHPlRcHZVW7hicJ4D1q1GIJEkq\nxnvfm5e33w4vvVRsLZVSbsD5JvCViFivGsVIkqTau+GGUvvww4uro5LKnT/0v4CRwIyI+BvwPJDa\nvJ9SSodWqjhJklR9TU2w117w29+WpnDo68oNOLsCS4HZ5GkZOk7NkFb6hCRJqntHHpkDztSpkFJ+\nTk5fVm5IJY4RAAAT+ElEQVTAaQYWpZRer0YxkiSpGG2fifP5z8N3v1tcLZWw2jE4ETEwIs6IiPnA\nC8CCiLg2ItaufnmSJKkWRo7ML4B584qtpRK6M8j4M8DpwD3At4BfAXsD51exLkmSVGMnn5yX//pX\nsXVUQncuUX0a+EFK6cjWDRFxJHBRRBzp04slSWoMb3xjXt53X7F1VEJ3enA2Jc831dbPgYHAxuUe\nMCJGRsSUiHglIp6KiI+vZv81ImJ6RMws91iSJKn73va2Unvx4uLqqITuBJzhwIIO2xa2LNfswTEn\nA0uA0cCBwCURsdUq9j+RfNeWJEmqog03LLX7+uSb3X3Q35iI2LT1Re7VWWl7y3tdiohhwEeA01JK\ni1JKdwI3AAd3sf8mwEHAud2sU5Ik9cJuu+XlFX18xsnu3ib+yy62X9/JtoGr+J4tgGUppUfabLsP\neGcX+18InAK8tqriIuII8ozmjB8/flW7SpKkVbjqKhgzJrfvugt22qnYenqqOwHnExU8XmeXu16m\nk0tdEbEvMDClNCUidl/Vl6aULgUuBWhubvZhg5Ik9dBGG5XaX/4y3HFHcbX0xmoDTkrpJxU83iJg\nRIdtIyiN6QH+cynrm8D7KnhsSZLUDYccApdfDnPmFF1Jz5U72WZvPQI0RcTmbbZNAh7ssN/mwATg\njoiYBVwHbBgRsyJiQg3qlCSp3zqy5cEwL75YbB29Ue5UDb2SUnolIq4DzoyITwHbkh8a2PEK3wPA\nuDbrOwEXAdvhHVWSJFXVdtvl5bx5sGQJrLFGsfX0RK17cACOAoYCLwJXAZ9NKT0YEbtGxCKAlNKy\nlNKs1hcwD1jRsr68gJolSeo3hgwptZ9/vrg6eqOmPTgAKaV5wD6dbL+DPAi5s8/8GRhb3cokSVKr\nCRPgySfzU403LvuxvsUrogdHkiTVuaaWLpA//KHYOnrKgCNJklby9rfn5QUXFFtHTxlwJEnSSj7R\n5il4jzzS9X71yoAjSZJWsueepfY+K42crX8GHEmS1KmvfjUvp0/ve8/EMeBIkqROnXJKqX3MMcXV\n0RMGHEmS1Kk11ijNLv6b3xRbS7kMOJIkqUvHHpuXW21VbB3lMuBIkqQubbllXv7975BSsbWUw4Aj\nSZK69MY3ltozZhRXR7kMOJIkqUuDBsHo0bm9YEGxtZTDgCNJklZpbMtskN/5TrF1lMOAI0mSViki\nL6dPL7aOchhwJEnSKn3pS3n5j38UW0c5DDiSJGmV3vOeUvu114qroxwGHEmStEprrllq/+AHxdVR\nDgOOJElardZenHPPLbaO7jLgSJKk1dp777ycNatvPPDPgCNJklbr0ENL7a98pbg6usuAI0mSVmvo\nUBg3Lrf7wmUqA44kSeqWKVNK7X//u7g6usOAI0mSuuVtbyu1W8fk1CsDjiRJ6razz87Lxx6DuXOL\nrWVVDDiSJKnbTjml1K7nZ+IYcCRJUrdFwPbb5/bttxdby6oYcCRJUlkOPjgv58wpto5VMeBIkqSy\nbL55Xk6dWr8P/TPgSJKksuy2W6ldr7eLG3AkSVJZhg6FgQNz++KLi62lKwYcSZJUtj33zEsDjiRJ\nahhf/WqpvWxZcXV0xYAjSZLKtsMOpfallxZXR1cMOJIkqVeOPrroClZmwJEkST3Studmxozi6uiM\nAUeSJPXI4YeX2tdfX1wdnTHgSJKkHhkwAI48MrcvuKDYWjoy4EiSpB4bOjQvn3yy0DJWYsCRJEk9\n1vZ28eXLi6ujIwOOJEnqsbXXLvXi/PKXxdbSlgFHkiT1ypIleXnXXcXW0ZYBR5Ik9crHPpaX9TTQ\n2IAjSZJ65bTTSu05c4qroy0DjiRJ6pU3vanU/tSniqujLQOOJEnqtYkT8/JXvyq2jlYGHEmS1Gu3\n3JKXI0cWW0crA44kSeq10aPzct68YutoZcCRJEm9NmRIqX355cXV0cqAI0mSeq2pqdS+7rri6mhl\nwJEkSRVx0UV5WQ8DjQ04kiSpIt73vlL7sceKqwMMOJIkqUI22QQGDcrtn/yk2FoMOJIkqWK23z4v\nv/OdYusw4EiSpIo54oi8XLQIUiquDgOOJEmqmAMOKLWnTSuuDgOOJEmqmEGDSk8z/va3i6vDgCNJ\nkipq993z8uc/L64GA44kSaqo444rugIDjiRJqrAddyy1ixpobMCRJEkVNWgQDByY2y++WEwNBhxJ\nklRxy5fn5dSpxRzfgCNJkiqu9U6qV14p5vgGHEmSVHF7752XN91UzPENOJIkqWqmTCnmuDUPOBEx\nMiKmRMQrEfFURHy8i/1OjIgHImJhRMyIiBNrXaskSeqZD30oLxctKub4RfTgTAaWAKOBA4FLImKr\nTvYL4BBgHeA9wDERsX/NqpQkST22116l9rnn1v74kWp4g3pEDAPmA29JKT3Ssu0K4NmU0kmr+ewF\n5HqPXdV+zc3NaVqRk19IkiQA1lyz1INTbtyIiLtTSs09PXate3C2AJa1hpsW9wGd9eD8R0QEsCvw\nYBVrkyRJFXTvvaX24sW1PXatA85wYEGHbS8Da67mc2eQa/1xZ29GxBERMS0ips2ePbvXRUqSpN7b\nbDMYMiS3jzyytseudcBZBIzosG0EsLCrD0TEMeSxOO9PKXWa/1JKl6aUmlNKzeutt17FipUkSb2z\nxx552frgv1qpdcB5BGiKiM3bbJtEF5eeIuKTwEnAHimlmTWoT5IkVdAnPpGXf/1rbY9b04CTUnoF\nuA44MyKGRcTOwN7AFR33jYgDgXOAPVNKT9SyTkmSVBlDh+bl44/X9rhF3CZ+FDAUeBG4CvhsSunB\niNg1ItreLX82MAqYGhGLWl7fK6BeSZLUQ+94R6l94421O25T7Q6VpZTmAft0sv0O8iDk1vVNalmX\nJEmqvFGjYOJEeOwx+OAHy79dvKecqkGSJFXV1VeX2gu7vK2osgw4kiSpqt72tlL7sMNqc0wDjiRJ\nqrodd8zL666rzfEMOJIkqequuabUvuWW6h/PgCNJkqpuzBhYd93cPuGE6h/PgCNJkmri+OPzcvr0\n6h/LgCNJkmqi7XxUCzrOTFlhBhxJklQTo0bB+PG53fbW8Wow4EiSpJpZtiwvqz27uAFHkiTVzDnn\n1OY4BhxJklQz++5bai9eXL3jGHAkSVLNjBhRat97b/WOY8CRJEk1temmeVnN2cUNOJIkqaYmTMjL\nv/61escw4EiSpJr6wAfy8oknqncMA44kSaqp9743L2fMgAceqM4xDDiSJKmmttwSInL7ppuqcwwD\njiRJqqkIOPDA3J46tTrHMOBIkqSae/vb8/LaayGlyn+/AUeSJNXcJz5Rav/ud5X/fgOOJEmquTXX\nhGHDcvsnP6n89xtwJElSIVp7ca66qvLfbcCRJEmFOP74Unvhwsp+twFHkiQVonXKBoCxYyv73QYc\nSZJUmP32y8sFCyr7vQYcSZJUmPPPL7Xvvrty32vAkSRJhdlww1L7gAMq970GHEmSVKgvfzkvH320\nct9pwJEkSYVqezfVzTdX5jsNOJIkqVCjR8Paa+f2/vtX5jsNOJIkqXCnn56XCxfC/ff3/vsMOJIk\nqXCf/3ypPWlS77/PgCNJkgoXAVdfXbnvM+BIkqS6sN9+cOutlfkuA44kSaob7343/PGPvf8eA44k\nSaor73pX77/DgCNJkhqOAUeSJDUcA44kSWo4BhxJktRwDDiSJKnhGHAkSVLDMeBIkqSGY8CRJEkN\nx4AjSZIajgFHkiQ1HAOOJElqOAYcSZLUcAw4kiSp4RhwJElSwzHgSJKkhmPAkSRJDceAI0mSGo4B\nR5IkNRwDjiRJajgGHEmS1HAMOJIkqeEYcCRJUsMx4EiSpIZjwJEkSQ3HgCNJkhqOAUeSJDUcA44k\nSWo4BhxJktRwah5wImJkREyJiFci4qmI+HgX+0VEfCMi5ra8vhERUet6JUlS39NUwDEnA0uA0cC2\nwE0RcV9K6cEO+x0B7ANMAhJwKzAD+F4Na5UkSX1QTXtwImIY8BHgtJTSopTSncANwMGd7H4o8O2U\n0syU0rPAt4HDalasJEnqs2rdg7MFsCyl9EibbfcB7+xk361a3mu731adfWlEHEHu8QFYHBEPVKBW\nVca6wJyii9B/eD7qi+ejvng+6suWvflwrQPOcGBBh20vA2t2se/LHfYbHhGRUkptd0wpXQpcChAR\n01JKzZUrWb3h+agvno/64vmoL56P+hIR03rz+VoPMl4EjOiwbQSwsBv7jgAWdQw3kiRJHdU64DwC\nNEXE5m22TQI6DjCmZdukbuwnSZLUTk0DTkrpFeA64MyIGBYROwN7A1d0svvlwAkRMSYiNgK+AFzW\njcNcWql6VRGej/ri+agvno/64vmoL706H1HrKz4RMRL4EbAnMBc4KaX0s4jYFfhNSml4y34BfAP4\nVMtH/x/wZS9RSZKk1al5wJEkSao2p2qQJEkNx4AjSZIaTp8MOM5nVV/KOB8nRsQDEbEwImZExIm1\nrrU/6O75aLP/GhExPSJm1qrG/qKccxER20XE7RGxKCJeiIjjallrf1DGv1WDI+J7LedhXkT8OiLG\n1LreRhcRx0TEtIhYHBGXrWbf4yNiVkQsiIgfRcTg1X1/nww4tJ/P6kDgkojo7CnHbeez2gb4IHBk\nrYrsR7p7PgI4BFgHeA9wTETsX7Mq+4/uno9WJwKza1FYP9StcxER6wK3AN8HRgETgd/VsM7+ort/\nN44DdiT/3tgImA9cWKsi+5HngLPJNx51KSL2Ak4C9gA2BjYFvra6L+9zg4xb5rOaD7yldcqHiLgC\neDaldFKHfe8CLmt50jERcTjw6ZTSDjUuu2GVcz46+ewF5D+Dx1a/0v6h3PMREZsANwMnAD9IKY2t\nZb2NrMx/q84BxqWUOpuXTxVQ5vm4BFiYUvpSy/r7gf9LKfVq6gB1LiLOBsamlA7r4v2fAU+mlE5p\nWd8DuDKltMGqvrcv9uB0NZ9VZym82/NZqcfKOR//0XKpcFd8eGOllXs+LgROAV6rdmH9UDnnYgdg\nXkTcFREvtlwSGV+TKvuPcs7HD4GdI2KjiHgDubfnNzWoUZ3r7Hf56IgYtaoP9cWAU5H5rKpUW39U\nzvlo6wzyn78fV6Gm/qzb5yMi9gUGppSm1KKwfqicvxtjgUPJl0bGAzOAq6paXf9Tzvl4FHgGeLbl\nM28CzqxqdVqVzn6Xw2p+z/TFgON8VvWlnPMB5IFl5LE4708pLa5ibf1Rt85HS3f9N4HP1aiu/qic\nvxuvAVNSSlNTSq+TxxfsFBFrVbnG/qSc8zEZGEweDzWM/AR+e3CK09nvcljF7xnomwHH+azqSznn\ng4j4JC2DxVJK3rVTed09H5sDE4A7ImIW+R/wDVvuUphQgzr7g3L+btwPtP2Pl/8Jq7xyzse25PGb\n81r+E3YhsH3LYHDVXme/y19IKc1d1Yf6XMCp0XxW6qZyzkdEHAicA+yZUnqitpX2D2WcjweAceR/\nyLclT4nyQkv7mdpV3LjK/Lfqx8C+EbFtRAwCTgPuTCm93Mm+6oEyz8dU4JCIWKvlfBwFPJdSmlO7\nihtfRDRFxBBgIDAwIoZERFMnu14OHB4Rb46ItYFT6c7v8pRSn3sBI4HrgVeAp4GPt2zflXwJqnW/\nIHfDz2t5fZOWO8d8FXI+ZgBLyd2Nra/vFV1/o726ez46fGZ3YGbRtTfaq5xzAXyWPOZjPvBr8l1V\nhf8MjfQq49+qUcCVwIvAS8CdwPZF199oL/JYzNThdQZ5HNoiYHybfU8g/ydsAfk/BINX9/197jZx\nSZKk1elzl6gkSZJWx4AjSZIajgFHkiQ1HAOOJElqOAYcSZLUcAw4kiSp4RhwJFVFRBwWEanNa0lE\nPB4R57Q83KvI2p6MiMvarLfWOqGwoiRVVGdPDJSkSvofYCZ5Yrx9gZNb2scWWZSkxmbAkVRt96aU\nHmtp39oyF9AnI+K4lNKKIguT1Li8RCWp1v4JvAH4z8SFEbFJRFwZEbMjYnFE3BsR+3b8YERMiogp\nETE3Il6LiIcj4uQ27/93RNwcEc9HxKsR8UBEfCEiBtbmR5NUL+zBkVRrE4CXgbkAETEO+Dt53p/j\ngdnAfsC1EbFPSumGlv22B/4MPNay30zyrOjbtPnuTYE/kGd/fh1oJs9tsx55FntJ/YQBR1K1DWyZ\nIbh1DM5HgM+nlJa3vH8GeWLcd6aU5rZs+21L8DkTuKFl27fIoWiHlNKrLdv+2PZAKaXvtbYjIoA7\ngDWAL0bEKV4Sk/oPA46kanuow/rFKaWL2qy/B7gZeLklCLX6LXBeRIwAlgE7A+e1CTcriYgNyYHp\nPcBGtP83bn1gVk9/CEl9iwFHUrXtS76ctB5wAnBURPw9pXR5y/vrA4e0vDozClhCHjM4s6uDRMQA\ncm/PRuSQ8xDwGrAP8BWg0FvTJdWWAUdStT3QehdVRPwRuJ/cM3NtSukV8mWnO4BvdPH554CBwApg\nzCqOsxl5zM3BKaWftm6MiA/2/keQ1Nd4F5WkmkkpLQZOJPfaHNWy+RbyQOEHU0rTOnktbrksdSdw\nUEQM7eLr39CyXNq6ISIGAQdW5YeRVNfswZFUUymlGyJiKvCFiLgIOB34B3B7y/qTwDrAW4BNU0qf\nbPnoF4HbgL9GxLfJl6s2BbZNKR0LTAeeAr4eEcvJQef42v1kkuqJPTiSinAqMBr4TErpafKlpfuA\nc4BbgUuAd9LmLqmU0lTyQONnyLeB30zuDZrZ8v4S8nibWcDlwGTgduB/a/ITSaorkVIqugZJkqSK\nsgdHkiQ1HAOOJElqOAYcSZLUcAw4kiSp4RhwJElSwzHgSJKkhmPAkSRJDceAI0mSGs7/B/eK0as7\n3ll7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c180ed2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_precision_vs_recall(precisions, recalls):\n",
    "    plt.plot(recalls, precisions, \"b-\", linewidth=2)\n",
    "    plt.xlabel(\"Recall\", fontsize=16)\n",
    "    plt.ylabel(\"Precision\", fontsize=16)\n",
    "    plt.axis([0, 1, 0, 1])\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plot_precision_vs_recall(precisions, recalls)\n",
    "save_fig(\"precision_vs_recall_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ROC curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_curve\n",
    "\n",
    "fpr, tpr, thresholds = roc_curve(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure roc_curve_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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Zwt/+9jenIwWECk4d4PVasvIL+ejHXdzxzg9/eP34NvH85/K+tEqIdiCdiIjUVStWrOCi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c10e755f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_roc_curve(fpr, tpr, label=None):\n",
    "    plt.plot(fpr, tpr, linewidth=2, label=label)\n",
    "    plt.plot([0, 1], [0, 1], 'k--')\n",
    "    plt.axis([0, 1, 0, 1])\n",
    "    plt.xlabel('False Positive Rate', fontsize=16)\n",
    "    plt.ylabel('True Positive Rate', fontsize=16)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plot_roc_curve(fpr, tpr)\n",
    "save_fig(\"roc_curve_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.96244965559671547"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import roc_auc_score\n",
    "\n",
    "roc_auc_score(y_train_5, y_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "forest_clf = RandomForestClassifier(random_state=42)\n",
    "y_probas_forest = cross_val_predict(forest_clf, X_train, y_train_5, cv=3,\n",
    "                                    method=\"predict_proba\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_scores_forest = y_probas_forest[:, 1] # score = proba of positive class\n",
    "fpr_forest, tpr_forest, thresholds_forest = roc_curve(y_train_5,y_scores_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure roc_curve_comparison_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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q1SpuglBIFjhh51ngxMfDkiWQmOgGF4uIiGSkX79+jBkzhgEDBrBs2TJq1qzp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\nx9EERymllFKOowmOUkoppRzn/wMIdzaC2cBshwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1b9c2860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(fpr, tpr, \"b:\", linewidth=2, label=\"SGD\")\n",
    "plot_roc_curve(fpr_forest, tpr_forest, \"Random Forest\")\n",
    "plt.legend(loc=\"lower right\", fontsize=16)\n",
    "save_fig(\"roc_curve_comparison_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.99312433660038291"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "roc_auc_score(y_train_5, y_scores_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98529734474434938"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_pred_forest = cross_val_predict(forest_clf, X_train, y_train_5, cv=3)\n",
    "precision_score(y_train_5, y_train_pred_forest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.82826046854823832"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recall_score(y_train_5, y_train_pred_forest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiclass classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.fit(X_train, y_train)\n",
    "sgd_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-311402.62954431, -363517.28355739, -446449.5306454 ,\n",
       "        -183226.61023518, -414337.15339485,  161855.74572176,\n",
       "        -452576.39616343, -471957.14962573, -518542.33997148,\n",
       "        -536774.63961222]])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "some_digit_scores = sgd_clf.decision_function([some_digit])\n",
    "some_digit_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(some_digit_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9.])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.classes_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd_clf.classes_[5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsOneClassifier\n",
    "ovo_clf = OneVsOneClassifier(SGDClassifier(random_state=42))\n",
    "ovo_clf.fit(X_train, y_train)\n",
    "ovo_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "45"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(ovo_clf.estimators_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5.])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest_clf.fit(X_train, y_train)\n",
    "forest_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.1,  0. ,  0. ,  0.1,  0. ,  0.8,  0. ,  0. ,  0. ,  0. ]])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forest_clf.predict_proba([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.84063187,  0.84899245,  0.86652998])"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_val_score(sgd_clf, X_train, y_train, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.91011798,  0.90874544,  0.906636  ])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "X_train_scaled = scaler.fit_transform(X_train.astype(np.float64))\n",
    "cross_val_score(sgd_clf, X_train_scaled, y_train, cv=3, scoring=\"accuracy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5725,    3,   24,    9,   10,   49,   50,   10,   39,    4],\n",
       "       [   2, 6493,   43,   25,    7,   40,    5,   10,  109,    8],\n",
       "       [  51,   41, 5321,  104,   89,   26,   87,   60,  166,   13],\n",
       "       [  47,   46,  141, 5342,    1,  231,   40,   50,  141,   92],\n",
       "       [  19,   29,   41,   10, 5366,    9,   56,   37,   86,  189],\n",
       "       [  73,   45,   36,  193,   64, 4582,  111,   30,  193,   94],\n",
       "       [  29,   34,   44,    2,   42,   85, 5627,   10,   45,    0],\n",
       "       [  25,   24,   74,   32,   54,   12,    6, 5787,   15,  236],\n",
       "       [  52,  161,   73,  156,   10,  163,   61,   25, 5027,  123],\n",
       "       [  43,   35,   26,   92,  178,   28,    2,  223,   82, 5240]])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_pred = cross_val_predict(sgd_clf, X_train_scaled, y_train, cv=3)\n",
    "conf_mx = confusion_matrix(y_train, y_train_pred)\n",
    "conf_mx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_confusion_matrix(matrix):\n",
    "    \"\"\"If you prefer color and a colorbar\"\"\"\n",
    "    fig = plt.figure(figsize=(8,8))\n",
    "    ax = fig.add_subplot(111)\n",
    "    cax = ax.matshow(matrix)\n",
    "    fig.colorbar(cax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure confusion_matrix_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAEFCAYAAAAsdjEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1b935dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(conf_mx, cmap=plt.cm.gray)\n",
    "save_fig(\"confusion_matrix_plot\", tight_layout=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "row_sums = conf_mx.sum(axis=1, keepdims=True)\n",
    "norm_conf_mx = conf_mx / row_sums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure confusion_matrix_errors_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAEFCAYAAAAsdjEBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwKH6qmoAkLAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c10e06470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.fill_diagonal(norm_conf_mx, 0)\n",
    "plt.matshow(norm_conf_mx, cmap=plt.cm.gray)\n",
    "save_fig(\"confusion_matrix_errors_plot\", tight_layout=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure error_analysis_digits_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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RoShZsiTff/89ELqOTKJQKYzLL78c8MJafhRKP+GEE1xITGEwpbwnG/v37wdw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\nWLlyJQAff/wxALNmzYro8U8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n5fg5wxFsbs6NaK4+1Jwtc7M8bopCrFq1KhqKT0SY4mMY\nhmEYRsqQJxWf7BKuq29uRD4ngGLFigFeSng0UAqsMuiUdj9r1qwcZ6T5UaExocJcY8eOdWX/E4XS\n9StUqJBUik9WkRdO5QRUxv+nn35yWRjBnHXWWXHPrMtL/Pvvv4DnccgtFChQgAcffBDwFJ9wZR5i\ngVTI+fPnO79i48aNgUD2JQQyipSOHgk7duxw5QeCi//JLxNtgnuCZVfxCeXx0b+TtXeXSifEu5ck\n5PKFz+effw54k7ZMguEI1RdHF69E9MxRnQ5NfjIk5wRJ0j/88IO7Tc1NVZMjGshU+PLLLwNeA8FG\njRq5qq/qeSNZv0yZMhnq7+zfv5+ff/453W2jRo0CAlJ2cDq76ojUrl07au8lu2ihkN2+avFE5sPp\n06cDXmPV77//3l2EsxLOmj17NieddFKUR5ka/PHHH9x3331AIP3XzxlnnMHNN98MJEeJjWREv/3x\n48e7RYlqEuk6UKpUKV566SUAzjnnHICQCyGZt2+99dYMmxeZ95WWHW2Cm4xqkZLVxUqyLm7Coarv\naqyc3Qrc2cFCXYZhGIZhpAy5WvGRzKpKqdod+fsGqeiajh0wYECGwk4ygEbT+BsJs2fPpkuXLoCn\n0mSX77//ntdffx3wqo9qJV2kSJGohp6ECuIp3KECX+vWrXPVfZXaLTp06OCK5el72LlzZ8jCaZC+\ncrPS2BXeKlGiRNTeS6RIGenWrRvgqV358uVzO00VP0s2pIzefffdOXqeIUOGAF4ZiFTm4MGD7Nu3\nD8jYe+jgwYPu3zt37gRwhf+2bt2aaTmGrl27cuutt8ZiuIB3HuzYsYOKFSsCWUtDP3jwoBt7gQIF\ngPQlM+JJ7dq13TzQvn17wLsebNmyxYW/dIxM2H5kcZBiDZ5SrXBRsOocLRRSU8hLr7d48WKXaBNO\nzQkV4hKxCs9BQF1TeLNOnTpZeqxKbahUgIpgxvP6a4qPYRiGYRgpQ65WfBS3lWdBcd/y5cu7gl+K\nnytl3W+k0r+1e483+/fvd6qHipfNnDnTpWOqSFg43nzzTSAQ61a7ByHzcf/+/aPq7QlG7S/0Gv36\n9cu0M7Bf2ZFp+VC7KXl6pPSoaFo0UTfh//77L0M65tatWwEYNmyYO59UzMx/PjVv3hzwPGPJxkcf\nfZStx6nQmIyXUiNi1F05VzFixAinNEjpk4IQqiBhOG677TYgfSuRWPD7778DgbRvpRar2KbO/Wuv\nvdYdX7hwYcBLXujTp49rG6O5KtikG0/0uauchtSPHTt2uN6EMkCH87DVq1fPqSya02LddiYzM/Oi\nRYuc/0fvx39ssDco1HPG0vezdu1ap/TLKyhFXiqgH831X331lVOi9uzZA3jFIuOJzVyGYRiGYaQM\nubplxdy5c4FAJ2HApd2mpaWFTZHTe5YnRfHcROxgVYhLhb8KFCjgMmWyumMUyqiS/0SfTzwZO3Ys\n4HmrQr2XSBSfyy+/nMmTJwOx9fQo22PHjh2ceeaZQMA3BTgPh3wa4J1D+qxfeeUVGjRoACSvEqIs\niki6a8sv161bN2655RYgR+8rz7asuOOOO1xD3awif02LFi0AnN8vXm0ftm/f7or+BSu0K1eudIVI\ng316hQoVcuqU5phkRQqPfsNSqvz4vYrxzCwKRahmo1nhqquuylRtjzbKaFUGrpTxa665ximGKvyo\nNjfvvPOOU+jeeecdIOrzeup0Z1cKeOvWrYFAJ+RwCx/Vt5FErYtXIunXrx8QmPxk9gpOc/VTunRp\nIHSXdUmQif4R5yaqVasGwCeffOIWNeHOIf1Y582bB0S2mEg0Wviob506sVevXt311tEiR+89uPRA\nNsmzC58///zTLVx0LoRDv+0bbrjBmTnD9TUyUheFqhYvXgyEXgwpbKTwViIqP//333+Ad/6/8847\nbhG0YcMGwLNdnHHGGbRs2RKA4sWLx2I41qvLMAzDMAzDT55QfIQK9nXv3t2lHUsZUQ+QG264IV26\nu2EYMSfPKj6GYSQVpvgYhmEYhmH4yVOKj2EYSYkpPoZhxANTfAzDMAzDMPzYwscwDMMwjJTBFj6G\nYRiGYaQMtvAxDMMwDCNlsIWPYRiGYRgpgy18DMMwDMNIGWzhYxiGYRhGymALH8MwDMMwUoaodCA0\nDMMwjGSla9euQKCB5kUXXQR4DXmrVKkCQOHChRMzOCPu5NnKzepsK8J1uFVH2xo1aiS0y20k7Ny5\nE4AvvvgC8Lq6v//+++6YqVOnAtC0adM4jy7A6tWrefrppwGYMmVKhvtPO+00AAoWLAjAo48+SqtW\nreI3wCwyYcIEAF599VWaNGkCwP3335/IIUWdpUuXAjB8+HAAJk6cCECnTp3o1atXTp8+z1Vu3r9/\nPwArVqygc+fOAFxwwQVAYB4BuPDCCznxxBMByJ8/f44HamSfPXv2ALB+/XrefPNNAN59991091Wv\nXmTvSyUAACAASURBVN3Np8cdd1wCRpl3mDt3LgBbtmwB4L333gNgzZo1/O9//wPgiSeeAODxxx+P\n5ktb5WbDMAzDMAw/eUrxkZpz9dVX53gAUnx69OiR7v+JZNWqVTz66KMAfPDBBwAUKVIEgCuuuILv\nvvsOgJ9//hnwdu0NGzaMy/g0poYNG/Lvv/+GPOa8885j69atAPz666/u9tq1awMwduxYAE444YRY\nDjVL1KpVC4D58+dz2GGBvUKLFi0AqFq1KpA7FSCpoO3atWPjxo0A7N27N90xhx9+OM8++yyAO/ey\nQZ5TfKSMtW/fPuMT/v+cmi9fPq655hrAUxBq1qwJwF133ZWdl802Bw4c4LnnngNg+vTpgKca+5Hy\n2rhxYy699FIASpQoEadRxp69e/cycuRIAB577DEARo8eDUCHDh346quvAChdunRCxqd584MPPmD2\n7NkAbrw33XQTAK1bt3bzZTLw22+/AfDWW28B8NBDD/H333+nO0a/g2bNmrn32L17dwDefvttwFNK\nc4gpPoZhGIZhGH7ylOIjX89TTz2V6TFXXXVVSJ9PuOMBFi5cmJ0hRYVPPvkECKgKmzZtAuC+++4D\n4N577wWgZMmS/PTTTwCULVsW8GKn2rHHit9//x2A8uXLA4Gd7gMPPADgPDHi3HPPdYqP3stzzz3n\nVv16jgULFgDJofz0798fgM8++8ztaoI56aST3Pl3xhlnAFCtWrW4jC9S/vzzTwD69OkD4BSAfPm8\nTZK8KPv27QMC6kXx4sUBePnll4HAri2L5DnFRyrq0qVLncIsxVWqgf9zFUcddRQAgwYNol27dtl5\n6Wyxa9cujj32WACOPPJIAA477DAOP/xwwBvrrl273GPOPfdcIGAIBihVqlTcxhsrevXqlcH/KdW8\ndevWDBw4MAGjgr59+wIwa9YsIDDXZEaVKlX4/PPP4zKucGzfvh2AO++8E8ApVGeeeSYdOnQA4MYb\nbwQ8xfOwww7jhx9+AKBChQpAQCECovXZm+JjGIZhGIbhJ08pPsK/os9qllZmqlEiPicpPfXr13e3\nzZs3D4CLL74408dp9xYvxeevv/4C4OyzzwYC3oGTTjopS88hb0/r1q0BmDFjBgA33HBDtIaZY/bu\n3etUknHjxgG43UtaWpr73LWD1DH+7y9R9OzZ032mq1evBtJ7UbRrk6dNip0eA3D55ZcDsGTJkqy+\nfJ5TfB555BEg4IWRsidfg34PEMgiAlyWo9Tmyy+/PDufY7bZv3+/y7A866yzAChevLjbiR999NGA\nl4U5Y8YMJk2aBHiq8tChQ+M23mghFU6KyuTJk9m9ezcARYsWBbx5slWrVnHxM+l398svvzhFRFmV\nBw4cAAKqXNu2bQFPqVV26Yknnsi2bdtiPs5wbN++neuuuw7ARRrke2vUqJFTNkMxePBgALp06QJ4\n51yU5smI5po8WccnWMrMCloghQuXxRqZv4INs3PmzAm74EmUTKsLvUzV2UEpjpLjK1eunPOBRZn8\n+fO7FEwZDSXp+ssJ6MIn02QiFz4KzT399NMZFu8Kic6bN8+FGI844oh09xmhGTBgQIbbdO7qL0CZ\nMmUA+OijjwAvZL58+XJWrFgBBNLeY80RRxzhDPnh0IW4QYMGriyGQnfJihaQMm3rb/Xq1fnxxx8B\n7/OHQCgGvM1WuDk1Fvz3339A+tChQvqaTzTPgLdoSyaKFi3qrk+yM0RSAmDJkiV06tQJ8Mo/JGJ+\ntFCXYRiGYRgpQ55UfHJCNFLhc4oUH+1WBg0aBHihhszQTkcVSCVRJzsjR450BuJKlSoBXpHDZEUK\nicIcfsVHnHLKKXEdUyj8JmUZWZs3bw7AkCFDgNA7NT3OTzj52giNdu4vvPAC4IWh69evHxelJ6us\nWbMGCJQuUJHGX375JZFDCokK4/Xs2ZNXXnkFyGgmX7NmDd9//z0AJ598MgBt2rRxZRkKFSoUr+Gm\n4/nnn3f/Vtq8kjtkKPej70Qkw9zoD8VFwqpVq4CAUi5T87Rp02IytkgwxccwDMMwjJTBFB/Cp8En\nonChTHdaJZcsWfKQj5k0aZKLxd9+++1AcigO4ZAZ7vHHH3dl45PBCJwZP//8s/PtLFu2DAj4roKR\nohKFVg85RorUE0884bxYMuaGQkbDUaNGudt0HsmMaIRH5tn77ruPmTNnprtN5lmd+4lGqo6+b33H\nf/75p/NghGo7k2gaNGgAwJdffuluK1CgAOB9xq+++irffPMN4BVX3bBhQ8KUHqnCfg/qsGHDgNBK\njwoDSslXGQIV/ssNSOnUmMuUKeNahUiFSwSm+BiGYRiGkTKkjOKjVfbixYsjKmCYDIULIymbrmKA\n99xzj9tVBhcNTDbUKVkF8Xbu3OmUCXVMTgbUUkO789GjR7vUzWAKFy7M9ddfDwR2muA1YU0kKisQ\nTn3as2ePS7eW/0BKwFFHHeV+O0pfNbzU9VdffdWlfeu3qKydUN4Y+ffef/99br755ngMNSzK4lL2\n33nnnQcEdur6LapNSzKhrM89e/bw7bffhjymVq1aFCtWDIBy5coBsHLlSqdkaY5X0c477riD448/\nHohN4VQVgtRv67zzznOd4kOhQqGa11Xor06dOlEfWzSZP39+uqKv4JXJaNu2rVOeE0merOPjJ1T1\n1IgGkJyfi/sRSP5USuHOnTtd36AXX3wxMYMLg8yIrVq1crKzpOk77rjDSb7JhHoVhepppItB06ZN\nAXjwwQfd8cmKJlxdoJXOO2nSJBcSEDJvP/PMMy50lwNyfR0f/e40oSssHmp+8ddHCnefFj56TqW+\nx4t58+ZRt27ddONSReAqVarEdSw5QfXOVLPn9NNPd/edc8456Y79448/XLkBvXe957S0NBo3bgx4\n82s0UX8tbaZ//PHHTG0Mw4cPd7W0tJBWXbBbb7016mPLCfPnzwe8SvDz5893c40WlUrdb968Obfd\ndhvg1ZOKMla52TAMwzAMw48pPpkgaS4nxRCjzcCBA90uXdV3/agCqXoxJROvv/46EDBe6ztRevXN\nN9/s7k8mwik+Su2W/AzeOaNdTjKxZs0a7rnnHgA+/vhjILwyIWN98I45m+R6xeeOO+4AvPM43Gen\nc+PJJ5+kYsWK6e7r168fgCteCJ5CoZ1zvHpi7dixw5WPUL89hWdvuukmOnfuDHglJvI6V155pfut\ny5Su8HU0UBX6HTt2AOmLKgqlrlepUsWFRYXmlcKFCzv1SOUSZBSWih4PdC7LuqDq302aNHHnva5T\nCkf++uuvrhK13oPOs0OVa4kQU3wMwzAMwzD85HnFR/iVm3AqTvAOLpk+nyZNmrjeSSoCpV3ilClT\nXGEupaQqhVAr8UTyxx9/ANCxY0fn8VEK+86dO106p4ouSp1IJDJfK3atgpKh8PfqkvKmtHEZJhPJ\nU089lSX1UjvdqVOnRiP9N9crPtqNqqdSKMXnySefBLxU61AFCqWstG/fngULFqS7Ta0TwnXmjjba\nfUvR0vv75ZdfXFq4fGxqp5BXFaA777zTlauQ/0fd0qNh8FZLH5newxmbhw4d6tQSqa/y4f3zzz8Z\njj///POBgIoiZalq1apA9qMeh+KZZ54BvPIr9erVA+DUU0/N9DHbt29nw4YNgOdPXblyJRC4vr32\n2mtAjhJDTPExDMMwDMPwkzKKT6QEFzNMJq/PX3/95eLCl1xyCeClXe7bt4/LLrsM8PwDKjymtMhk\nY+3atQDcfffd7n1p5+IvTJZopExt3brVFeT68MMPAW835ld8hHZcM2fOjEvX53Ds3bvXKQw6Z5RR\n8uWXX7rdfHC6fseOHV035RyQ6xUfNcJU2vfBgweBgB9HWW8qHSDvWqTPqaKd/ozNRBXylCrRpUsX\nJk+eDHhZRVL+unTp4pr0KvsvL+BXfMT27duB5FBtv/76ayCQFabU+Hnz5mV6vBT/RDbcDofa4kjl\nf+2115xaJY9VNohorrGFTxDBC59kqOcTKcFjV8jl2WefTdSQIkaLNKU6Slp+7LHHkmLRGYw6sO/a\ntQuARYsWuTICSo8Vl112mXt/ujgmG5KbVddFPY6OOuooF5pUraVskOsXPrFk4MCBgBca7dChg+uj\nlkgUglNtp7lz5wKBxX6NGjUAL/wV79phCtEpzBKN56pRo4YLL6nf4caNG6P2OtFE6eKqGaYw/ODB\ng9m7dy/gLcDnzJkTVZN2tNFcevvtt7sFnc7/bPSbtFCXYRiGYRiGn5Sp3BwpixcvTvf/SKo8JwvJ\n3psrHFIaDhw4AOCM2r169XJKQ82aNRMzuBCo+qj+tmzZ0lVUVWEuVX7+9NNPXTpnsio+qtirqrZS\nfPbt2+d2xEZs2LZtG+CZUP2p7olE4R0pxgqdtG7d2imYMtyqQKkMq7FCIXFVIlf/q+yg81pm9FWr\nVrnv4JprrgGST+kRRxwRuHS3a9cu3e3nn3++65ouNTqzavPJgubQN954g7PPPhvwohXZUHwiwhQf\nwzAMwzBSBlN8fCxatCiDwiNzc25g/fr1iR5CjlEZf6UCn3feeUybNg1ILsUnFOoLpC7KuQml2Mrr\nIwoVKuR2YUZ02bRpEwBjxoxJd7u/5UIyoRTjN954w6XzT506FfCK2V177bWceeaZUX9tGaz1WcmE\nnZ3n0ZjbtGkDkK5QoNL6k9FXGAnNmzd3aeZS46ZPn85dd92VyGFFxLHHHkurVq0AYu5xM8XHMAzD\nMIyUwRQf4OqrrwbS+3mUzZWIlb9i/OoofNxxx0X0OMW/lZEQq/hoPFAJ9tNPP53//e9/CR5NZCxf\nvhzw0jRF4cKF3XeSTGgXPXjwYIYOHQp4KoS49dZbwxYkSzX0Hes3mpOdtLwYyp5S80w1p0xWjjzy\nSNcwU6Ue3n77bSCQUTpx4sSov6YK2ynd/MQTTwRg8+bNlC5dOuRj9u/f7zIs+/btC8C6desyKOPy\n9Tz//PPOo6S2I7kRFX/t2LEjALfccksihxMxf/zxh5uHYk2uXfiEWpBEskjxh7NC1TeId/q60hLH\njx8PBH6gSqGUZKk011AodbFfv3589dVXQCAtEHKn2VnfTe/evYGA4VBG50ShyV3fSyi6devmUjG1\noNBip0mTJjHtdu3vuq4FYzhk4JeBUNV6/eiCrguGEUDVdmWI/euvvzLU8ZHxNBQyuTdu3Nh1ExcN\nGzYEPKN5MqOeUEpK0MJHC8Noo5RnocSBnj17uppHSkXXGP755x9X2T5UpW39PrVQePjhh2My9nij\nz0YsXrw4Jh3dVRdM56sW7lldNKom1sqVK53hPNa/AQt1GYZhGIaRMuS6AobBRfrAU2lUVMuPdreR\npKX36NEjYtXI/7o5QdKeZEl/BWBVr9RO0I+qeGpnvnTpUsqWLQt47zmRis+cOXMAr8KxCFXhGLyu\n17/99hvgpbWXL1/eVctVmni8kVyuytihCPW+ZNSTTB9tpERdeeWVQOCcKF68OBAo/AjeTnnlypWu\nAJ1CcVKm8uXL5ypmK01YnZPDqRdZIM8VMNRu97rrrnO3qVdRrVq1gIA6NGnSJCCgxoFXqNN/rkix\nUE+4ZDM36xqhHlHa2ftvU5+xX375xXU4j2ZVZ80jUi785uZQak4wOqZChQqu7ES3bt0AEl5VPTOG\nDx8OeH0O1YMxHEuXLnXXJUUDZs2aFZNK4I0bNwa8wpbqH3nhhRe6bgH6rEMlfOjcUY+7QYMGub6S\n6pGWjYQWK2BoGIZhGIbhJ9d5fIILDIKnwGS12KBS1bVCjlTBiYbSI9QvKRTy6vhjptq5KAVTRapa\ntmzpduvJ4O3RLkW9raQuZKb4BO/a5FV5++23E74DVun3QoUKheyMDJA/f37ne5B35u67747puKQi\nSP3bu3cvmzdvBiIzyKqXWOfOnd3OTDsuIzxXXHEFEPCHjBgxAvB8LlI7wykQxYsXd49T0UgptsmG\nPGTqD1iyZElX4E8JGDr3//jjD/e++vfvH7UxSNWUEvDSSy9lOEYKh0oz+OfB1q1bA4HPOrec4+oT\npiiEvodWrVq5z1vz/4ABAwAYOXKkO04qSw46nYdlxowZgKfSK3qxdOlSGjVqBEClSpWA0CqmFGsV\noSxevLjzZJ177rkxGbPIdaEuLW6UiRUp/nBYMtVo0JcvSfzjjz92dSa0KFq3bp07Xt+Xfry6yHbp\n0iUp68eMGjUK8BaZmzdvDnlB0IVEEqlqbPhl9UTz+++/uxCQamTofV166aUhQ63x4OmnnwYCGS/B\nBmxdmJo1a+YWNyKrv6EckOdCXWLv3r3uAqW+SVoAharArOrH9913n8tMSnY054wdOxaArl27umrT\nwRuWtLQ0178rGfqN5WbUqFmGepE/f35XVVsVs/1o06i5NxH1z2Q0VwadNmdr1qxxBn+F3NWfsWvX\nrtF4aQt1GYZhGIZh+Ml1io9hGLmOPKv4pCJbt251FZSnT58OeCnk1157rau0noy1q3ITSvCQhUHK\nbiikmDdo0MBVn84timKUMcXHMAzDMAzDjyk+hmHEGlN8DMOIB6b4GIZhGIZh+LGFj2EYhmEYKYMt\nfAzDMAzDSBls4WMYhmEYRspgCx/DMAzDMFIGW/gYhmEYhpEy2MLHMAzDMIyUwRY+hmEYhmGkDLbw\nMQzDMAwjZTgi0QMwjGQiLS3NdZ4eNmxYhvtff/11gAxd0P0MHz4cgLvvvhsgZDd6wzAMIzGY4mMY\nhmEYRspgvbqShL179wKwdu1aPv/8cwC+/PJLAN544w0A/v77b3e8Ou927doVgFtuuYXixYvHbbzR\nZteuXQB06tQJ8NSWTp060a1bNwCKFCkS83Fs3LiR0047LeLjjzgiIJqmpaW5bspi1KhRALRu3Tp6\nA4wTq1evBmDChAn07ds33X233Xbb/7F35vEylu8ff59Ckoqyk5JIi6T4tggtliSVpc3aQtaESvST\nUpaOLKVSSoslUoS0aiESEgllzZolJMkhS53fH/P63M+cOXP22c6Z6/3PMNu5Z+Z57ue+P9fnui4A\nxo8fn9m3i2XJKypzzdy5c7n22muDPjZr1izWrVsHwMMPPxy2Mezdu5fExEQA/vrrLwB++eUXAMqX\nL8/8+fMBqF27NgDXXHMNAF26dAnbmDKL5ot//vmHY8eOATB8+HAAPv30U8D7LP4kJydTsmRJAObN\nmwdA5cqVwz7evMjIkSMB3Pywe/duwKdwa11xwQUXALj/r127lqlTpwLQrFmzcAzLenUZhmEYhmH4\nk6sVH+1K165dC8DHH3+c8RsnJ6fpuShatCg333wzAJdccglA2FWUX3/9FYCWLVsCsGTJkmy9T/Xq\n1d0KvE6dOqEZXJg4fPgwALNnzwZg2rRp/PzzzwAsW7YMSOmLqVChQorHwqn8HDhwgNtuuw3wjq/S\npUsDcP/996d6/jnnnAP4dqCPPPIIgPMItW/fHoDXXnstbOMNFXv37gWgf//+gKfmHDp0KNVzK1Wq\nBPiO1dNOOy0zbx/3is+YMWMAWLx4MQCTJ0+mQIECQZ/rr2IMGzYMgF69eoV8TN27d+ell17K8uue\nf/55unfvHvLxpMeGDRsAT83R8blx40b2798PeKqC5o4SJUo4FUIkJydz9tlnA/Ddd98B3vkdbqRS\nDRkyBIBBgwa5sQaO3f86Faie+M/vuj5J+S9UqFBYP4NYvXo1F110Uaox6//BPo/+f9lllwHZv9Zl\ngCk+hmEYhmEY/uS6rC7tTBs0aODi4MF2pWmRnuIDvt0MQPHixQEoV64cAL1796ZJkyZA6FbVK1as\n4H//+x8AR48eBaBs2bJuFS8vRTD0Pbz11luAzw9Ur149APbs2QNExhOTVaZPn85zzz0HwKJFi9J8\nXtWqVQEoUKAAS5cuBXw7YQjv5zrttNP4+uuvs/y65cuXO59WbuH48eMADBw4kDfffBOA3377LcPX\n6dzIpNoTd0jVWbt2LX369AHg999/B7ydL8CZZ54JQP369VO8/tChQ7z//vsp3isc/Pfff+7fmoc0\nlm+//dZ5ekaPHg3An3/+CfjmQmUsFixYMGzj80eqqXw8okyZMm7sgarY0qVLnT9QXHrppe7zRErp\nEVJ6dJuQkJDqWnThhRcCvt9Gisq0adMAL7KxZs2aNJWiZ555JpwfwXHBBRcwd+7cFH9bXjCAzz77\nDIB27doBnv+nePHiWfEGho1ct/CRgXTv3r3pLnhOPPFEwDOf6vbYsWPkz58f8C6kgaZU8BYPur37\n7rvdCdOpU6ccfw7wXThOPfVUAP744w8A3n77bW644YZMv0fFihUB6NChg7uQxTIffvhhugseTaQv\nv/wy4LsI3HjjjQCMGzcO8E28scaoUaPchUE0btw4SqNJH4Ua7777bgBmzpyZpZT7WA+lRgJN5AsW\nLHBzhELNWuTs37/fXZjOO+88wFvQ9+rVy4VczjrrrBTvvX37drfw0e2UKVNC/hkGDRrkQiRKltA8\n6Y8+6+uvv+6eqwWyPle4UZhHKIzcr18/9/2pjITCips2bXLPl4m7Xbt2buEeaTS3tWrVCgieHLB6\n9WrAt3DQQifQjpKcnOw+g8JGDz30UHgGnQ6B84DOgyFDhjgBQfNK3bp1ARgxYkSq3zIaWKjLMAzD\nMIy4IdcpPkpFHDNmjFvhFy1aFMAZkwHOOOMMAJeaLBPqzJkznRr05ZdfAr7demYYOnQoEDrF55xz\nznGGbK2QM5tKLUPfggUL3H0KwcVywbxixYo5JUSybps2bZzKpdCdPt8TTzzhXqvfMBZZvny5+7dC\nQDVr1ozWcNJFMvSHH36YrdfHouIWKSTvd+7cGfDCD/6cf/75gM9wqp2uFBWpPOkhIy9A165dczTe\n9Dj99NPTDRurjMakSZNS3F+4cOGIn4tt27YFPBW1SJEigC8Uft999wE+tRy8+e/RRx914S/ZB044\nIXp7/X79+qX5mFLrFRrasmWL+xy6bd68OeD7LB06dAA8xScabNmyBcCVPRg0aBDgOyd0LZKiqNtY\nwRQfwzAMwzDihlyn+IhGjRrRqFGjDJ8nY6yMyRs2bMi2CVU7uVAiY17griottOO85557ANi6dSvg\n24XpPWLZdCpjcyBPPvkkAB999BGQsl2EdjWx6Jn5/PPPgZQtLJQOX6ZMmWgMKUOUjq506gIFClCt\nWjXA87v5+7CkkKqYXiwfX5FCisMVV1zh/BY9evQAvIJ4SozIiIMHDwI4I+7777/vlKEaNWqEbtBZ\nYNasWc6YrTRs+RHHjBkT1AsUTnQMSjkTEyZMcEqPogFfffUV4CnKscrEiRPdOeVf/A98x1KVKlUA\nr/VNLDFw4EBefPFFwEu08Tday/8Ti2MHU3wMwzAMw4gjcq3ikxHaBSgWL5WncOHCbufSoEEDAFc8\nr3r16nzxxRcA3HHHHYCXulu5cmX3/EihImb79u0DYPDgwc7XpMf0WVq0aJHC45SbWLt2LStWrAC8\njAztfCpWrOiK6p1yyinRGWAQ5JNRhoY8SeD7LWKZiy++GPDUwx07dvDOO+8AvnIDgVSvXh0gVeuK\neERtJhYuXJil1+kcVsYXeMVLlaL9zTffAL4092+//RbIvOcvpxw4cACAp556CoCxY8c6JUqqtNRa\n/7TlWEBzhfwxsa70iL179zq1JNDPs3r16pjzxfgzc+bMVCqVf/aZCk1KodMx07RpUzdnRiu7DnJ5\n5eb0KFy4MODV+NGENX78+ExL0NFCi7SOHTsCKdMedZDJ9KsKqjJzxzpr1651izf10lm0aJHrQ6bj\nUTL7I4884uqdRJs1a9a4NHuFFQNT2ME71h577DEArrvuujSr9EYShRGVIq36IEePHk2zFEL16tVT\nTWLZIHbd9mGo3KxFcFJSkrt4yQStPnzpUa5cORfCDjdKS1fJCP/+VgrZqueckkhiiQkTJriwv84x\nLdBbt24dM3NHRsjcrNDXDz/84OZ6zf/qbRWp6szpsWbNmjTLyfzyyy8u6UYbKf9FkqwLmldC3B3B\nKjcbhmEYhmH4k+cVH92qMFQs7loC2bFjB+AVNgv2G8n45o9MqzJJamUdaSOiPxs3bgTghRdeAHw9\niiTvBkM7NFXljoXfS/L/6NGj0x17WvTo0cOlJavgZLhRJXCF5Hr37u1CK4EFO9OrZr5ixQoXGssB\ncaH4qBKywuuvv/56qsq6onDhwu58bdiwIeCFvE466SSnzoWzWOSLL77IiBEjAC81WVx55ZUu7KzQ\nkQzGscSff/7p5jspyfquzz33XDf/qwRJoUKFqFWrlns81tD80rFjR2bMmAF483/Tpk0Bn7E4FooA\nZgUpWjNmzHBlEvRZZYDu0KEDl19+eU7/lCk+hmEYhmEY/uRZxUcF8ebMmQN46kn//v25/fbbgdhP\ny1VsXX1qdu/e7cyRareRHkqJ7d27N3fddRcQOQVFxlntUv766y8gpbqg8d1xxx2uHch1110HZL+4\nXiiRuVNlE/yLRUqZClZAbOfOnQCsWrXK3SdfmbweJ598chhG7KFim/JKpUd6ik+3bt0yXeAzHeJC\n8dm+fTuQsgVFoOIjz0/Pnj1T+U+kWHTp0sWV35g5c2aohpeKbt26ufMukLp16zqvkpIKlFp/5ZVX\nuufJdxILHja1qND3+P7776dSspKTk13RRrWQkEeoX79+MZVA8cEHHwCeWiWFpFixYk6pa926dXQG\nlwNUYkZ+JqlBJUqUoFu3bkD6xR4zwBQfwzAMwzAMf/Ks4qOy72ob4K84qLGeVtKXXnopQJaag0aD\nPXv2OMUnsAjja6+9xvr16wFPbfFHpfO1gwy32qWCftrhTp48GfC1nZBnRumnAEuWLAF8ZebB8yup\nMWI0kGJzySWXAL60XhWp0zETzGulZn09e/YEfNlT+r3UTHD48OFhKZ+v1hlXXXUVkDllMD0uvfRS\nfvzxx5wOKy4UH6FzbPHixQwePDjLr2/Xrp3zd2jeCgddunRJUSg0J9x7772AT4G4/vrrQ/KeHGl/\n/AAAIABJREFUoUTK1p49e1xmZjC/nrLbunTpAnjd6k866aRIDDMoyvDTXDho0CCXYRkChSTqDBw4\nEPA1kpXKrs+TjW7zmZpr8uzCR6g+jKR/1SsJxv/+9z/XD0X9X0KcahdWZK7UZCkT2YgRI5zkq7o/\n+r8q0IYLmZu/++47IGNpVrKzDN6zZ88O3+AyQF3M16xZA/jMkOn1NkqL66+/PtVi9MiRI+TPnz/H\nYwxEoV0ZZoOlqVeoUAHwSiE0b96cYcOGAan71lWrVs0WPnhV22WkVe+ocLBx40YXQvWvDxVqjh07\nxg8//ADA1KlTgZTp7Np8aCzqybRjxw5X+0zp8OLEE090dVqU0JCdcyacqASF+iTqM0+YMMGFKxWa\nvP/++wHfhbh8+fKRHmpQ5s2blyLtHUiR+h5Lae9ZYfDgwe6aJUtAy5YtAd9vk0ks1GUYhmEYhuFP\nnld8ApkyZQqJiYmAlzIdrBCTqkrKWNyoUaOYMPBlh7Vr17qq09u2bQNw1ZAVdooVpEb477RyO6NH\nj3aStAiX4iNkEtexffnll7vdk1JG/Q3WKoipDsvi7LPPdmbEHBTJzNWKT/fu3V1ISKZjGU/Dwfbt\n2104XkXeVBQzVlD/Lim5b731FgDvvvuue47CROpnF+ts3rzZ/c4q8illvF69ei7hIpphL6EwnVQ1\nhVSTk5NdQokKlOYmZBOQoiWlp1+/fpkNe5niYxiGYRiG4U/cKT7+/PTTT4CnfnzxxRdpmkE7derk\nutHGYiGvjPjkk08AXD+vq6++GsD1BIoVbrrpJsBLCQ+BvyQo6nUmE3w4CoLJbN6wYUNn9laxrlde\neSXNFPLssmXLFmfc1HtL3cwImVPHjRuX4n7z+Pg8KmqpIgXy6aefDvlAFi1aBMDIkSOdShJOj08o\nUcHMSZMmOX+kDLg6D+QvjGU0L0hRUemThQsXulYYSsCIJVSgt1mzZs4fo/5YI0aMCEVhwIii718F\nPNeuXeuSTTKYq03xMQzDMAzD8CfPdmfPDNWqVQO89NP9+/e7svGBXodXX33VpQi3adMmgqPMOUeO\nHEnlilcmw6ZNm5yvJlqsWrWKW265xY0HvC7t4WDYsGFOvevVqxcQHsVHXdql9oCnLoZa7QGfaqPs\nMfmH9LmULeePOoaPHDnSZVMYHm+//TaQ0gOoTuXZRUrmkSNHnNr45ptvAl57kcOHD7t5KLcg/6OK\nHILXmFIlFmKtq3swdN6ULl0a8FoeQfD091hB5/nSpUsZMmQI4F3DGjdunOvS3pVNrQat//vf/1wm\npUqf5IS4XvgEUqRIEQYMGAB4NVi0ONq+fbsLU8TqwkdhOqWCK3V/yZIlrvePqFq1KkCmO9VL6pf5\nr0OHDjmuAq3aNsOGDXMLHhHObvMHDhxwJm8Zd3PKxo0bXTVVmQr/+OMP97iOnVKlSoXk7/lz4MAB\nIGVqsST7J598EkjZRX7lypUAfP3114AvRBa4EFNPMb0+HlEndf/eZu3btwe8ujDBzp9Zs2YBvtCV\nSkyoZpMWPkePHnULH9WCUvjs0ksv5ZprrgnthwnC4cOHXfq2qqjn1HCvOiz+76UKybkJ/TYKGyUn\nJ4e92nooKFSokDMBV69eHfDVhVKZCi0eYiU1PyM0L4V6o2ihLsMwDMMw4oa4NjcHcuTIEVe0Trs8\nKT5SUcArFBhKJN+ddNJJrlJweihUpZ3kypUrnTyunWowlIqpnUxmV/6S47XjLVOmjAsRZsU4t2PH\nDjd2GW+/+uor93jv3r0BnJEwHPTv399VC9VOQoUcmzRp4qoyB0MqmgoziuPHjztVLJBq1arx5Zdf\nAqTqzxRKWrZsmSKdOLP49+pSGrXSYxWuyyG50twcit2m5lcpmFJEypcv77qejx07FvBKaESKJ554\nwoVDNOdonE8++aSr9p4eUm1lzG7VqpWbK1UAUXNNKND8rHBOhw4dUvRGyykLFy4EPGVE5/ltt93m\nzv3cpmDVrFnTKdsKHeWWHl8jR44EfOntUkQzCNeZudkwDMMwDMOfXO3x0eo8sGw6eL2pvvnmmxT3\nJycnu+JjgYULt23b5oyo4eyR449S9Bo3bgz42gdo1y0filLRwduBy2Og3aj/eHWfSpZffvnl3Hbb\nbQDORJzVGK/ixUqD/+6777j11lsBeOmllwCvf9U555zjXqfdnxSjN954I1XHZPBSRMOp9ARDO3J5\nYMaPH+92Rdnl4osvBjyz6plnnhmRomfNmzfPluLjj36nSHhMYp2yZcsCvmJ9Or+021dqtgquZYTO\nFRUkvPPOO+ncuTPgpYJLzYiUl8Tf96XWPmLDhg2ce+65QV/nrxDqe1FpEPDS2NNrD5RdVHRWSlXN\nmjWzrPhImdX1Q7z66quuR5o+n1oYvfHGGyFXerZs2eIM05qPc6r6JSUluRY7+o6WLl3qWtiEU+lR\nl3X9/WA0a9YsU22gpMgrCSUhISGkxmxTfAzDMAzDiBtyjcdH6oV/R2vtlII1YtQOO7CLuf9uJavI\nGR/YfiAnSF0Ilm6cFa688koqV64MeKqOmtWFEnUKbt++vfOtiJIlS6a4BW9XKfXK//svU6YMADfc\ncINb2Ye7azz4/FvaXT/33HOAtxNX07/MosJ/5cqVo2PHjoC3482XL7KC6n///cedd94JZK1cfXJy\nssvqUSPKUPomyKUeH7Fy5UqnHCvbTareK6+84tRXoezKo0ePOkUxM3NOp06dAFK9X7iYN28ePXr0\nAHBNR5UNmB7B5lAVda1Ro4ZTgMNRNE/zT61atQCfai+1RN+1iqAWKlQo1XmQnJzsrglSj/zRdUMt\nOPRe4Si+WLJkSaf4PPTQQwAuMzQjFLXQ66dPnw74VCT/TDSACy+80JW5CGfTbaXUr127NtVx7/9/\n/VvPV1bjjBkzUr1O1/1mzZplVonPW93ZdSDqC9m4caMLcSktVyGWpUuXujBW4OfL6sJHF4BWrVo5\nqS2UXW+1MFDa8IoVK5zpMRiacANDEVWrVg1LbZi0OHLkiOsTo/RJGTfTG0fdunXdZ1VoLNwd4uMJ\nTYS6UGth5294V20SyfhXX32166vkH6YMIbl64ZNVZs+eDcCyZcuytPDRRkUbmEiiyr8K9bz//vtu\nDlW5hF27dgG+Rb7mHy1uatasCXiVdsONagNNnjzZJYbo4p7edx1s/m/Xrh3g68eonmiRMJrXrFnT\nhYUC585ixYq54yHwGBozZkzQBQX4rk1aUHTo0AHIfHgpp6jf3+DBg135Di3INM5mzZq5uSlwgea/\nKNI1UNcW9R/LBGZuNgzDMAzD8CfXKD6ZQTLt2rVrXfG4wNTzrCo+2sHkxv5chhEjxJXiYxiZRYqP\njOD+XdbTUnX81SAhRaR8+fIudBSnmOJjGIZhGIbhT55SfAzDiElM8TEMIxKY4mMYhmEYhuGPLXwM\nwzAMw4gbbOFjGIZhGEbcYAsfwzAMwzDihljt1RXLZkjDMPIONtcYRpxhio9hGIZhGHGDLXwMwzAM\nw4gbbOFjGIZhGEbcYAsfwzAMwzDiBlv4GIZhGIYRN9jCxzAMwzCMuMEWPoZhGIZhxA228DEMwzAM\nI26whY9hGIZhGHGDLXwMwzAMw4gbbOFjGIZhGEbcYAsfwzAMwzDiBlv4GIZhGIYRN9jCxzAMwzCM\nuMEWPoZhGIZhxA228DEMwzAMI26whY9hGIZhGHGDLXwMwzAMw4gbbOFjGIZhGEbcYAsfwzAMwzDi\nBlv4GIZhGIYRN9jCxzAMwzCMuMEWPoZhGIZhxA228DEMwzAMI26whY9hGIZhGHGDLXwMwzAMw4gb\nbOFjGIZhGEbcYAsfwzAMwzDiBlv4GIZhGIYRN9jCxzAMwzCMuMEWPoZhGIZhxA228DEMwzAMI26w\nhY9hGIZhGHGDLXwMwzAMw4gbbOFjGIZhGEbcYAsfwzAMwzDiBlv4GIZhGIYRN9jCxzAMwzCMuCFf\ntAeQBsnRHoBhGCEjIdoDSAebawwj75CpucYUH8MwDMMw4gZb+BiGYRiGETfYwscwDMMwjLjBFj6G\nYRiGYcQNtvAxDMMwDCNusIWPYRiGYRhxQ6ymsxtxyp49ewDYunUrAKtXr+aDDz4AYMaMGQAkJ/sy\nkJcuXcpll10WhVEahmEYoeTIkSPs3r07xX3PPPMMAGPHjuXmm28GcNeDfPmyv3wxxccwDMMwjLgh\n1yo+hw4dYsiQIUEfmzlzJrt27QKgY8eOqR5v27YtAOXLlwcgf/78AJxwgq0DI4nUnenTpzN//nwA\nvv32WwC2bNkCQEJCglN4EhJirw7e5s2bAXjhhRd4/vnn03zem2++CcC9994biWEFZenSpQD88ccf\nKe7/5Zdf2L9/PwAbN24EcP/ftGkTzZs3B+Cpp56K0EjzDosXLwbg2LFjgHd8r1+/nm3btgHwxRdf\nANCkSRMAmjZtyoUXXgjAFVdcEdHx+qM59LPPPgO8Yze98/DNN9+kcOHCALRo0SLMIwwfx48fB+Dw\n4cMAnHrqqVEby9y5c1PcDhgwgCeffBKAb775BoA5c+ZEY2gZsmPHDgBWrVoFwBtvvJHqOZrf//zz\nT77++uugjyUkJLhzad++fQCUKFEi2+NK0BvHGGkOSuPt1atXuhearHDPPfcAKb/ImjVrAtE5eVeu\nXAnA9ddfD8Bdd90F+BYI27dvB3AHfm68GA0cOBCAJ554Agi+uPH//+WXXw7ABRdcAMA111wDQLNm\nzShWrFjYx3v06FEA3nnnHR5//HEA/v33X8C7oP3111/pvsdJJ50EwIIFCwAiHqL77LPPaNq0KQD/\n/PMPEPwClt4ic8qUKQDcfvvtWf3zsbdi9Qj5BLhz507AN6/ogqQLaWYW8cnJyW4zVrFiRQAqVKgA\nwCeffBLq4aZA4/ztt9944IEHAO+iqmP+xBNPTPP1//77L6eddhoA48aNA+DWW28N23hDwd69ewH4\n7rvv3DXl77//BuDXX38FoGvXrm6uTe/zh4OsbPjmzJnDtddeG77BZJJXX30VgMTERCDlRjaQ9M4J\nPXb11VczePBgAOrUqZPen7bKzYZhGIZhGP7kulCXdt+hUnsA3n777VT3dejQAYiO4vPyyy8DXkhC\n/wdvVSzT17PPPgtAqVKlOP/88wEYOXIkgJPLY41169YB3mfxX+nr3wpRNm3alAYNGkR4hCmZNm0a\nAPfff3+23+PMM88EcGGA3MKJJ57oVLV69epFeTSxTe/evQEYM2YM4KkG2UG7dh0vdevWzdng0kAJ\nA8uXLwfgwIEDALz44otpvqZIkSI8+OCD6T4OsaX0JCUlAT4FYcmSJYAvPA2eoqXPHoyXX37ZhSaD\nXS9Czdy5cxkwYEDQx6T2A6meM3fu3KgrPp07d3bfka7XmaVy5coAzshcu3ZtAOrXr8/JJ58csjGa\n4mMYhmEYRtyQ6xSfcKNV5emnnx61MWjncfXVVwO+2HMgin3WqFHDPUc7TBnyYpXhw4cDuJ3X2rVr\nKVSoEAATJkwAcH6UWKBx48Y5fg/5HbSjiTQ33nij2x1Kkdi0aVOazy9atCjgM6vG0s491ti9ezed\nOnUCfB48SN+TIeWmcePGLrkimJIm1SScfpJFixY5f6PmnPT+no6XfPnyUbZs2bCNK5QsW7YM8HlC\nwec1UUJCIAULFnReqnLlygE+r5PQbxIJ5s6d68zMIpivU//WbTTVnokTJwI+Be3IkSMpHlM04oEH\nHnCe1dKlS0d2gH6Y4mMYhmEYRtyQ6xQfFS2666673M5KCofi1f7ccccdgJd1k1FGynnnnQeEL6ae\nGd566y0A/vvvP8DzmLRt29btRFTE6aKLLgJ86f3arUVyZ5IdtDNeu3Yt4Nshx6LSIwLTv/2RUuW/\ne9Hz77zzTsAXn77yyivDOMLMoR27Utb90Q5+3rx5AJx77rmRG1guZsKECUHnHdG1a1cA7r77bsBT\ncWOB0aNHO+9LMKpUqQLAo48+CsDZZ58dkXGFEn3/ixYtcvcpY+62224DPB9njRo1Yvq4T0/NiYXs\nXnmm1q9f767NZcqUATw1SBm60SbXLXx0cR8/fjwbNmwAPOOoTGr+qcXvvfceAMWLFwd8Kes6uGVg\njjXZVqnPwr+GhCZQhbhEKI1f4WTp0qUujV3huuLFi8fkgkcMHTo0zcd07NWrV8+FR5UuLuN5wYIF\nwzzCjOnQoYObfIQmp5YtWzoDfTRDvLmR3bt3E1gSpHr16gBUq1aNq666CoitBY+MzJ999plLUddn\n0P8BPvroIyB3LnjAl/qvzyqDfrFixdxvotpauYVom5bTYvLkyYBXJ8w/1Kt0dm22gm26qlWrBkTW\nBmChLsMwDMMw4oZcp/iI/Pnzu4J2YtKkSUBwM6qqBCukAvDaa68BuEJd999/P2eddVZYxhsqpHLl\nVnr16uUKhqlg5KeffhrNIeUIpbjKMOyP1JO00lIjgXrffPrpp6kMh/Xr1wd85Q9M6ckeK1eudDvc\nDz/8EMCVXyhQoEDUxpUeM2fOBHyVcqWgBytOqGKpUoNUubl48eJOBZWaWapUqQiMPHOowu8dd9zh\n1Ff9JlOmTIkJBTYvkV5RzS5dugCeeT6Y8V8FLydMmODS2MONKT6GYRiGYcQNua5lRXocOnQI8Ck+\nSgWUn8ff8Ku07/Xr16d4fbly5fj++++B6KbaBaIdWtOmTbn44osBr4Cj2lrEOm3atAF8Jjet+hV3\nb9asmfNbScWTaTiaKB6tVEx//0NmkBF/5syZNGrUKLSDyyQjRowA4JFHHnH3BZaIP+ecc2jYsKH7\nN3g+kEceeSQUhsQ827KiRIkSTsFUMkKsIwVSrWMg8+0oAp+jlHz1P/QvrhdppPTcdNNNgNfTCTzF\nIZo9t7LCU089lUopjtFrtfP2yHea3bYUZcuWdX3hdJ3LBtaywjAMwzAMw588pfiIn376ycWn1QzS\nPwatHVrnzp0Bz2OSlJTknPPaKStDI5pot1KrVi1+/vlnAE455RTAS2Ns1apVTMXZA1HT16VLlwZt\nRKp/q83G008/DfjUoGihBoWVKlXK0fsULlzYdSfWDjlSaDfWrFkztm7dmq33kGqq7yMb5FnFp1Kl\nSu57iXXFR/Oe/C5qhgzZV3wC6dGjB88991yOx5oVNNdXrVoV8HmXxKxZswDP95mVhp/R5rrrrgO8\nruyx3ph66tSpAHz88cepoik6N044IbXWogK9CQkJrtzMu+++m91hZOoHzpMLn6yiqrpdu3Z1dS2U\n4q4usw0bNnT1H6LFhx9+6Cqt7t+/P8Vj/fv3dxVkY3EBtHr1asBXH0kTcLCFT2AY7Icffoj4YkHs\n2LEDwKW/btu2zVXZ7devH5Ay/fv3338HfFWSA5EpPVp1QrZv3+4mE4VxFQrwNz3rM6vmz/fff+/u\nU8kB9eHJQtgglq82OZpr+vTp44y+a9asAaJXnTuzZDfUNXbsWMBXp+qxxx4L+pw2bdpENE384MGD\n7nxbsGBBqsc1F+qCmpiY6Eznke6ynlW04NECSMRKB/ZQ0bJlS8BnPNdcO3v2bCBblgcLdRmGYRiG\nYfhjio8fP/zwg9vV+vdoAejZs6fb2cm0Gg0kT6s7u+RF8CRsGcRika1btzrFxx9Vcx48eDDgqUHj\nx4+ndevWkRtgEKRWbd++3ZnJg0m2OmaCKVTRVnyyy48//ujMzfpNdu3aBUDJkiUz+zZ5VvGZNWsW\nt9xyC+Adu3379s35qMKIKk0r/R6837ZPnz6AZ+jPCPW22rJlC+ALx7///vtAeJVnqZRDhgzJcrmI\nVq1aAV45k1hIpEiPwJDXtdde64r15gU0b9avX59169YBuCK32QjrmeJjGIZhGIbhT64tYBgOatSo\n4cxw3bt3B2D+/PmAr8ibUrKjaXiWge/1118HvHT2Ll26uF1XLFO+fPmgioh6j2nnGUtKpFLsAwtm\n5mVkEFUBMiM4VapUcS1mpMJWrFgR8PoExhrqUaXbnCBPnvwyp556algKBKqv3xtvvAF4apXuB1w/\nvP/7v/8DfAkgMverj9Rvv/3GO++8A8CKFSsAn9IPsVtwUuqOv/Ljr/7kdlRexv+3DDem+BiGYRiG\nETeY4hPApZdeCngxRsXv//nnH6ZMmQLERoq7solipdttTli9erXzRwSmmyq9PTeTL1++XJVGC7jU\nd/+u1lIbVWLe8KWzyxcjr0nHjh0BqFOnTkxmWIaTUqVKpSgWGyqGDx8OeEq3VKUhQ4Y4j45KX5Qr\nV869TiqJCngOGzbM+UaUcq1SEyp9EqvUrVsX8Ck++lyxpIxnFyml/nNkuH8LW/ikgfoYKW1zwIAB\nTmbVDxXt9PZoo3RYVfvVxJNZs6Bk6JtuuinVCdyjRw8gupORTJoKXWQ0lq+++iro/e3bt3cm0FhH\n5sImTZoAvslIn79MmTIAnHzyydEZXIyihY/CKX/99RfgK4GhGmH67mKJNWvWUKVKlWy9VpXjVeog\n3Bw7dizF/9WD6/nnn3fh2KNHj2b4PklJSS45RaVLVIYiN6JFXKRr+yxcuJBhw4YBsHPnTsArb9G+\nfXu3+FR6enqozEYkFz4W6jIMwzAMI24wxScDpDy88MILqQrvxTOrV68mMTER8HZOMqdJEUvvteDr\n1A6+irJa7etWZQWiwZIlSwBcGr0UrCFDhrieYoHFz8aMGeMM8UJhyCFDhoR1vP7IlCx1UtXJVek7\nLaS+Sb3wL+egysQq5mmkRGEXFe5r3rw54Cs90bNnTwBGjRoFZKkEQNhQOvtjjz3mjpNrrrkm06/f\nu3cv48ePB7Levy67KNQllV22g99//91VNNZ5JnW1cePGfPHFF4CnBmnuAa/QpEJIRsZI4WvQoIHr\njSl0Xfzyyy+pVq0aAN988w0QvNip5iZ/9JuEu6eaKT6GYRiGYcQNeVbxkd9CpffF1q1b3W5FikPg\nTt0frXADY8yxwrRp06Lyd4sVK+baShw8eBCAQYMGAT5/VJ06dVI8f8+ePYCvO/uzzz4LwO7duwGf\nyiNVZcKECQDUrl07zJ8gbbRz1G8uz0aXLl247777gNSKz7Rp01IdI+oS7d/WItzcfffdAHz++ecA\nrgRDeorP+++/T9euXQHvd5LyVqhQIWcMveGGG8Iz6DyCVEoV/1uzZg3vvfceAIcPHwZSFg2MFsuX\nLwd85l6db5lRfNSqJDExMVXqsc7XcLWrOOOMMwCv6KBaxyQmJrJs2TLA8/1I1fFXd/yRIqQeUbFe\nwFBIPfEn0t4eKXxS+f2R4lOmTBkeeOABwGutpNf9/ffffPzxx4BPJfd/HcCDDz4IhH/ONMXHMAzD\nMIy4IU8qPg8++KBrqKddQDDkY9Aut3jx4u6xX375BfB2FklJSXTr1g2IjWwupWJOmjTJ3RdJZaF4\n8eIuY0Up51IJ2rVr57ww6sorL8GWLVtS+XkSEhLczjOa3h6h5p3BkAfm1ltvBbxMHvmCwNvx6zuI\nFH/99ZcryiaUcVGyZEnn41GRTrU7+fnnn1O9l3ZhlStXjtlu0NFAipq8VNdff73zJUjt2Lx5M5Ay\nS+Wjjz4CfIonENU2LEWLFgV8Bfs05hIlSgBeKr5/Sri8jf5qpxTPSy65BMApW5FCxSEbN27szj2l\npet4VoaiP7Vq1eLhhx8GIjtf5oTAlhVA1FpWnHnmmYBvjlebIRUgFDt37nQKsm4rVaoEkKJre2CJ\nj4cffpg777wzPAMPIE/26mrbtq27kGYGnQCXXHKJu1Do1l/SU1hJadvRRKa9hg0bAr4LlCREpR9H\nCpkDVeU6OTnZHdSBXdeTk5PdJCtZU53OYwUZJ/v37w+kPFnTQwtiLfIifXFLSkqiRo0agNcpXDV3\nChUq5GRnbQaC1RaSqVBSdf/+/UNhNIzlIkZZmmuUeqt+XP7V0gOP9WDUqlUL8M6VaHLuueeybds2\nwAtFaFHkH/6fOXMm4IXI/MO8I0aMALxz2cgaWsz4L2pEWj3IYqU7uxaaWtzomA52/Kd3btxzzz0A\nDB061C2scoD16jIMwzAMw/AnTyo+//zzj5NeFbJSMbqNGzdm6z27devmUlKjWYVXq+zGjRsDuB3b\njBkzXJXpSKMqv6qq+ssvv7iU2cCV/uOPP+5CQMF6dsUSknAV1gq2KxP58+fn0UcfBbzCjtFApn4V\nIAwW6g38TQoXLuxCFtplhtjInGcUH5mUlTQxefJkpwTLTJve/FC2bFkAli1bliK0Hg22b9/uEjw0\nPwaa9v3ReOvUqeNKWejzqCigkTUURs5Mh3mFt2JB7fFH8+T27dsBn+KtMKNCvMEUn1deeQXw1OUQ\nYYqPYRiGYRiGP3lS8QnG8ePHAZ/ZVunsgUpF5cqVmTdvXorXqQBZ/fr1adSoUaiHlSXWrl3rzNZa\nXWsFPXPmTG6++eaojS0vM3v2bMDXzfnxxx8HvONJ9OvXj6effjriY0sLKYPyfS1btszt6tU+QQpV\no0aNnEE3TOQZxSc9lB6thIPRo0c7o7vSv6WsLVy4MCZaf3z77beAV6TyueeeA4J3ypbikJVih0bm\nkJosIzPgCjNackGWMMXHMAzDMAzDn7hRfHIz8g4888wzLqtEKL1a3c0NIwaJC8XHMIyok6m5xhY+\nhmGEG1v4GIYRCSzUZRiGYRiG4Y8tfAzDMAzDiBts4WMYhmEYRtxgCx/DMAzDMOIGW/gYhmEYhhE3\n2MLHMAzDMIy4wRY+hmEYhmHEDbbwMQzDMAwjbrCFj2EYhmEYcYMtfAzDMAzDiBvyRXsARtZQN+Xa\ntWsDXnd2gE2bNgFw9tlnR35gRkwzY8YMhg8fDnjHUGZp2LAhAOeeey7gdZC++eabY6LDuBE7/Pvv\nv/z1118p7hs3bhwAu3btcvclJiZGdFyG4Y8pPoZhGIZhxA15vknpv//+C8DIkSMB2LhxIzfeeCMA\nt9xyS4rnfvbZZ9x6660AHD16NMVjY8aM4YEHHgjVsLLNfffdB8Dbb78NwIknnugeq1mEvzt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4Z0vP7ou+7evTsA7733XpYaNoqDBw+mufusWLEinTt3BsKTySBf1Ny5c51PIVCdSeu+QJKSkgCv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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1b9235f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cl_a, cl_b = 3, 5\n",
    "X_aa = X_train[(y_train == cl_a) & (y_train_pred == cl_a)]\n",
    "X_ab = X_train[(y_train == cl_a) & (y_train_pred == cl_b)]\n",
    "X_ba = X_train[(y_train == cl_b) & (y_train_pred == cl_a)]\n",
    "X_bb = X_train[(y_train == cl_b) & (y_train_pred == cl_b)]\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "plt.subplot(221); plot_digits(X_aa[:25], images_per_row=5)\n",
    "plt.subplot(222); plot_digits(X_ab[:25], images_per_row=5)\n",
    "plt.subplot(223); plot_digits(X_ba[:25], images_per_row=5)\n",
    "plt.subplot(224); plot_digits(X_bb[:25], images_per_row=5)\n",
    "save_fig(\"error_analysis_digits_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multilabel classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=1, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "y_train_large = (y_train >= 7)\n",
    "y_train_odd = (y_train % 2 == 1)\n",
    "y_multilabel = np.c_[y_train_large, y_train_odd]\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_multilabel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[False,  True]], dtype=bool)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.predict([some_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97709078477525002"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train_knn_pred = cross_val_predict(knn_clf, X_train, y_multilabel, cv=3)\n",
    "f1_score(y_multilabel, y_train_knn_pred, average=\"macro\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multioutput classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise = np.random.randint(0, 100, (len(X_train), 784))\n",
    "X_train_mod = X_train + noise\n",
    "noise = np.random.randint(0, 100, (len(X_test), 784))\n",
    "X_test_mod = X_test + noise\n",
    "y_train_mod = X_train\n",
    "y_test_mod = X_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure noisy_digit_example_plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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qYs1MT7mVlpa6uTpWvra2VtY4fvy4m3d0dLj5999/7+b79u2TNdra2txcHX3+/PPPu/lL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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c10165b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "some_index = 5500\n",
    "plt.subplot(121); plot_digit(X_test_mod[some_index])\n",
    "plt.subplot(122); plot_digit(y_test_mod[some_index])\n",
    "save_fig(\"noisy_digit_example_plot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving figure cleaned_digit_example_plot\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARoAAAEYCAYAAACDezmxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAABepJREFUeJzt3SGLlFscwOGZy9q22FxEBYNJi9isJoOwwWRQEASrsN/A\nZhCbYNFmMtpMJsMmnawGNSqKlgl7v8GcuTq/nXHv89Tz531P2P1xwuGd6cHBwQSg9M+6NwAcfUID\n5IQGyAkNkBMaICc0QE5ogJzQADmhAXJba3qv68hwNEyXGXKiAXJCA+SEBsgJDZATGiAnNEBOaICc\n0AA5oQFyQgPkhAbICQ2QExogJzRATmiAnNAAOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJC\nA+SEBsgJDZATGiAnNEBOaICc0AA5oQFyQgPkhAbICQ2QExogJzRATmiAnNAAOaEBckID5IQGyAkN\nkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiAnNEBOaICc0AA5oQFyQgPkhAbICQ2Q21r3BoD/\nZj6fD2eOHTt2CDtZnhMNkBMaICc0QE5ogJzQADmhAXJCA+Tco+G3fPz4ceH6bDYbPuP06dPDmTNn\nzgxnfv78uXB9Z2dn+IwHDx4MZ/b39xeuP3/+fPiM3d3d4cyvX78Wrt+8eXP4jHv37g1nvnz5MpxZ\nFScaICc0QE5ogJzQADmhAXJCA+SEBsgJDZCbHhwcrOO9a3kpk8l0Ol33FhhY0//k71rqD8qJBsgJ\nDZATGiAnNEBOaICc0AA5oQFyQgPkfGHviHn8+PG6t7C0vb294cyFCxcOYSeTyeXLl4czZ8+ePYSd\nHE1ONEBOaICc0AA5oQFyQgPkhAbICQ2Q8+Grv8jolxInk8nk0qVLf/ye+Xw+nNnacgWLyWTiw1fA\nphAaICc0QE5ogJzQADmhAXJCA+SEBsi5dbUh3r59O5xZxWW8p0+fDmdcxmPVnGiAnNAAOaEBckID\n5IQGyAkNkBMaICc0QM4X9jbEkydPhjN37tw5hJ1MJmv6m+Dv5At7wGYQGiAnNEBOaICc0AA5oQFy\nQgPk3KPZENPpUtcRDsXDhw+HM1evXl24fu7cuVVth83mHg2wGYQGyAkNkBMaICc0QE5ogJzQADmh\nAXIu7P1Fvn37Npx5+fLlwvUbN26sZC+z2Wzh+u3bt4fPuH79+nBmmY99bW9vD2fIuLAHbAahAXJC\nA+SEBsgJDZATGiAnNEBOaICcC3sknj17Npy5devWcGZ3d3c48+LFi2W2RMOFPWAzCA2QExogJzRA\nTmiAnNAAOaEBckID5FzYI/Hu3bvhzLVr14Yz79+/H87s7+8vXL948eLwGfw2F/aAzSA0QE5ogJzQ\nADmhAXJCA+SEBsi5R8PafP78eThz8uTJP37Ozs7O0nviP3OPBtgMQgPkhAbICQ2QExogJzRATmiA\nnNAAua11b4D/rzdv3gxnTpw4MZxxIW/zOdEAOaEBckID5IQGyAkNkBMaICc0QE5ogJwLeyS+fv06\nnLl///5w5u7du6vYDmvmRAPkhAbICQ2QExogJzRATmiAnNAAOb9USWI6XeoHDIfW9PfJ8vxSJbAZ\nhAbICQ2QExogJzRATmiAnNAAOaEBcj58tSHOnz8/nHn06NFw5sOHDwvXT506teyWFnr16tUfP+P1\n69cr2Al/AycaICc0QE5ogJzQADmhAXJCA+SEBsgJDZBzYW9DzGaz4cyVK1cOYSfL2dvbW7j+48eP\n4TO2t7dXtR02nBMNkBMaICc0QE5ogJzQADmhAXJCA+Tco9kQy/wi43w+H858//594fqnT5+Gzzh+\n/PhwZlUf0OL/wYkGyAkNkBMaICc0QE5ogJzQADmhAXJCA+Smy1wUC6zlpcDKTZcZcqIBckID5IQG\nyAkNkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiAnNEBOaICc0AA5oQFyQgPkhAbICQ2QExog\nJzRATmiAnNAAOaEBcltreu9Sv24HHA1ONEBOaICc0AA5oQFyQgPkhAbICQ2QExogJzRATmiAnNAA\nOaEBckID5IQGyAkNkBMaICc0QE5ogJzQADmhAXJCA+SEBsgJDZATGiAnNEBOaIDcv05ArrZeQ7Ze\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c10e84748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "knn_clf.fit(X_train_mod, y_train_mod)\n",
    "clean_digit = knn_clf.predict([X_test_mod[some_index]])\n",
    "plot_digit(clean_digit)\n",
    "save_fig(\"cleaned_digit_example_plot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Extra material"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dummy (ie. random) classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.dummy import DummyClassifier\n",
    "dmy_clf = DummyClassifier()\n",
    "y_probas_dmy = cross_val_predict(dmy_clf, X_train, y_train_5, cv=3, method=\"predict_proba\")\n",
    "y_scores_dmy = y_probas_dmy[:, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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x5K7M2iCS4FwOm32Wq6rm8FtUxvj49Vgkz8zfzLLnOiE5ctNo0BvMHNLJCjMa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\nk2qWTIwxxqTa/wM0SNQqcNuHIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1005c128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fprr, tprr, thresholdsr = roc_curve(y_train_5, y_scores_dmy)\n",
    "plot_roc_curve(fprr, tprr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KNN classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=-1, n_neighbors=4, p=2,\n",
       "           weights='distance')"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "knn_clf = KNeighborsClassifier(n_jobs=-1, weights='distance', n_neighbors=4)\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_knn_pred = knn_clf.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97140000000000004"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "accuracy_score(y_test, y_knn_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAD/CAYAAADxA2MgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncCIA4UQAwokAhBMBCCcCEO4/v0b1O9PfLL0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c1011bc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage.interpolation import shift\n",
    "def shift_digit(digit_array, dx, dy, new=0):\n",
    "    return shift(digit_array.reshape(28, 28), [dy, dx], cval=new).reshape(784)\n",
    "\n",
    "plot_digit(shift_digit(some_digit, 5, 1, new=100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((300000, 784), (300000,))"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_expanded = [X_train]\n",
    "y_train_expanded = [y_train]\n",
    "for dx, dy in ((1, 0), (-1, 0), (0, 1), (0, -1)):\n",
    "    shifted_images = np.apply_along_axis(shift_digit, axis=1, arr=X_train, dx=dx, dy=dy)\n",
    "    X_train_expanded.append(shifted_images)\n",
    "    y_train_expanded.append(y_train)\n",
    "\n",
    "X_train_expanded = np.concatenate(X_train_expanded)\n",
    "y_train_expanded = np.concatenate(y_train_expanded)\n",
    "X_train_expanded.shape, y_train_expanded.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=-1, n_neighbors=4, p=2,\n",
       "           weights='distance')"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.fit(X_train_expanded, y_train_expanded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_knn_expanded_pred = knn_clf.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97629999999999995"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy_score(y_test, y_knn_expanded_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.       ,  0.       ,  0.5053645,  0.       ,  0.       ,\n",
       "         0.       ,  0.       ,  0.4946355,  0.       ,  0.       ]])"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ambiguous_digit = X_test[2589]\n",
    "knn_clf.predict_proba([ambiguous_digit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAD/CAYAAADxA2MgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c10e43128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_digit(ambiguous_digit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Exercise solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Coming soon**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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    "version": 3
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   "file_extension": ".py",
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   "pygments_lexer": "ipython3",
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  }
 },
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}