{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-02T06:06:35.469482Z",
     "start_time": "2018-04-02T06:06:35.465370Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:46:58.856793Z",
     "start_time": "2017-12-13T16:46:58.851412Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from zwml.datasets import make_regression\n",
    "from zwml.linear_models import linear_regression\n",
    "mr = make_regression()\n",
    "X,y = mr.build_dataset()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:46:59.020534Z",
     "start_time": "2017-12-13T16:46:59.015943Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lr = linear_regression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:46:59.237129Z",
     "start_time": "2017-12-13T16:46:59.156959Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lr.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:46:59.325464Z",
     "start_time": "2017-12-13T16:46:59.315708Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.1401831554579134"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:46:59.701637Z",
     "start_time": "2017-12-13T16:46:59.697476Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "preds = lr.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:00.302487Z",
     "start_time": "2017-12-13T16:47:00.140695Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VH6v0cUnPS3pU0gVJLyRps6QxSWMTExM5DM36VSmHPz45NddLp1o75KSdsdLUu+WiWSfK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\nm5n1IQd/M7M+5OBvZtaHHPzNzPrQ/wef1VsmdXjBAAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b279630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "plt.scatter(lr.predict(X),y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:00.761545Z",
     "start_time": "2017-12-13T16:47:00.756511Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "new_X = mr.muck_up_data(X, add_nan=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:01.556399Z",
     "start_time": "2017-12-13T16:47:01.551930Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from zwml.linear_models import sgd_regressor\n",
    "sgd = sgd_regressor(regularize=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:02.037220Z",
     "start_time": "2017-12-13T16:47:01.940618Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sgd.fit(new_X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:02.164334Z",
     "start_time": "2017-12-13T16:47:02.157457Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.0084843458557672252"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd.score(new_X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:02.975953Z",
     "start_time": "2017-12-13T16:47:02.827415Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gK8B1wGXAzZIuS2j6QES8u/zlwG9dp94irumZ4JMPHGTd5//BBdWsL+Rx5X8lcCwingOQ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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114d9f588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(sgd.predict(new_X),y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# KDE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:03.704839Z",
     "start_time": "2017-12-13T16:47:03.697198Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(250,)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from zwml.neighbors import kde_approximator\n",
    "import numpy as np\n",
    "\n",
    "X = np.hstack((np.random.normal(0,0.5,100), np.random.normal(5,1,100), np.random.normal(-5,2,50)))\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:22.120859Z",
     "start_time": "2017-12-13T16:47:21.953678Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kde = kde_approximator(bandwidth=1, grid_fineness=60)\n",
    "kde.fit(X)\n",
    "kde.make_surface()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:22.561801Z",
     "start_time": "2017-12-13T16:47:22.277255Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xAEOHDr3jPKGs1rNnTzZv3szEiRMpXbq0/am/c+fOcejQIX777Teef/55Jk2aBKSEj+HD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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115250b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "\n",
    "plt.hist(X, label=\"Binned data\", alpha=0.8, zorder=1)\n",
    "plt.plot(kde.region, kde.probs, c='k', lw=3, label=\"KDE\", zorder=2);\n",
    "plt.scatter(X, [5]*len(X), marker='o', c='r', s=30, alpha=0.3,label='Actual Data', zorder=3)\n",
    "plt.legend(fontsize=20, loc='upper left', frameon=True, facecolor='#FFFFFF', edgecolor='#333333');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-13T16:47:50.616688Z",
     "start_time": "2017-12-13T16:47:50.406925Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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BYoqICMCl9UuQdyFRbvd65K/oGBLT7HXWtvaImTQXEAIAkHchEWXZqQbLSUSm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\nKYqiKIqiTMD/AMqKuEW1X3o0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114fc0550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samp = kde.sample(num_samples=250, random_state=42)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.hist(samp, label=\"Samples from KDE\", alpha=0.8, zorder=1)\n",
    "plt.plot(kde.region, kde.probs, c='k', lw=3, label=\"KDE\", zorder=2);\n",
    "plt.scatter(X, [5]*len(X), marker='o', c='r', s=30, alpha=0.3,label='Actual Data', zorder=3)\n",
    "plt.legend(fontsize=16, loc='upper left', frameon=True, facecolor='#FFFFFF', edgecolor='#333333');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-08T23:07:57.462989Z",
     "start_time": "2018-02-08T23:07:57.442193Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from zwml.clustering import dbscan\n",
    "\n",
    "\n",
    "np.random.seed(24)\n",
    "def get_data(n_clust = 3, n_points=50):\n",
    "    X1 = np.random.normal(0,.3,n_points).reshape(-1,1)\n",
    "    y1 = np.random.normal(0,.3,n_points).reshape(-1,1)\n",
    "    for _ in range(n_clust-1):\n",
    "        X2 = np.random.normal(np.random.randint(0,10),.3,n_points).reshape(-1,1)\n",
    "        y2 = np.random.normal(np.random.randint(0,10),.3,n_points).reshape(-1,1)\n",
    "        X1 = np.vstack((X1,X2)).reshape(-1,1)\n",
    "        y1 = np.vstack((y1,y2)).reshape(-1,1)\n",
    "    X = np.hstack((X1,y1))\n",
    "    return X\n",
    "\n",
    "X = get_data(n_clust = 5, n_points=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-08T23:07:57.959557Z",
     "start_time": "2018-02-08T23:07:57.779953Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x11ef43588>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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A31fVH6rqTQCfB/DhhNfkSVW/AeD1pNcRhKr+WFVfWv31/6L6wu/aObpa9X+r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\nbiIiw/w/5UNpv+GoYMoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11df733c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "X = np.append(X,[[5,8]], axis=0)\n",
    "plt.scatter(X[:,0], X[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-08T23:08:03.187524Z",
     "start_time": "2018-02-08T23:08:01.422371Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LNkOraXtNqTH0rOXl0YjfXFtjOUn4s4cO8R8fOsSn5+f3rHrbD1ld85WNDUrvOTeZYIBP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jnNvWPumss82g+0/abai6UP7DbruXmRmc2rMzK+ii7eEt5J/nuRfNXddK5d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HbefXUK9zDN/n+pXLwLe/zYCPsTGC1mqVjyAAXnstB4PLy3x/de+8JOH5w5DjNZvc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\nawDmwYyaxwBo5FAC8L8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h89ks5F9DA7aza9fy19bVhcfnPgdxotfW48F1bWxceJLy2jWR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XNTAQ1hCKv5EnBZp52FViLXu+D4mXV7EaJa16GFJ2FXWjiU0squAxt63GphDbP4x3ZiEQbC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\nez8rV46dNt/c7PtTxWpqjJHW5CudKpuqAs+cycZSWzs2oB8ayoLVd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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e4cc2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "db = dbscan(epsilon=0.6, min_points=5)\n",
    "db.fit(X)\n",
    "\n",
    "color_possibilities = 'rbcmyg'\n",
    "colors = []\n",
    "for i in db.labels_:\n",
    "    # For Noise points!\n",
    "    if i == -1:\n",
    "        colors.append('k')\n",
    "    else:\n",
    "        colors.append(color_possibilities[i%len(color_possibilities)])\n",
    "        \n",
    "plt.figure(dpi=250)\n",
    "plt.scatter(X[:,0],X[:,1], c=colors, alpha=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-22T17:52:10.618541Z",
     "start_time": "2018-02-22T17:52:10.131100Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from zwml.tree_models import random_forest_classifier\n",
    "from zwml.datasets import load_iris\n",
    "\n",
    "X, y = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-22T17:52:12.959610Z",
     "start_time": "2018-02-22T17:52:10.621903Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rf = random_forest_classifier()\n",
    "rf.fit(X,y)\n",
    "pred = rf.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-22T17:53:45.135840Z",
     "start_time": "2018-02-22T17:53:44.750631Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YE4Rab+/TR+vkh25Wdm6up/UOPfcknfzg3z2t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\n1SzNXbRKW7dtV8Pi+urZubWOHNZPXds7/+3Z6fr7X9eX0+cmHWsqfTb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0n8fbu1da1bsnqTp30tXbvZta5vV/c4gLrEGPOsMaaw8qPSaeGcE+wOlS+OKUmJkt4xxrxqjDnV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\nHwD8x4KYt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d2a21d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[ 50.,   0.,   0.],\n",
       "       [  0.,  50.,   0.],\n",
       "       [  0.,   1.,  49.]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from zwml.metrics import pretty_confusion_matrix, classification_report\n",
    "\n",
    "pretty_confusion_matrix(y, pred, show_text=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-02-22T17:53:04.316402Z",
     "start_time": "2018-02-22T17:53:04.272511Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- Label 0 ---\n",
      "Precision: 1.000\n",
      "Recall: 1.000\n",
      "F1: 1.000\n",
      "\n",
      "--- Label 1 ---\n",
      "Precision: 0.980\n",
      "Recall: 1.000\n",
      "F1: 0.990\n",
      "\n",
      "--- Label 2 ---\n",
      "Precision: 1.000\n",
      "Recall: 0.980\n",
      "F1: 0.990\n",
      "\n",
      "--- Average ---\n",
      "Precision: 0.993\n",
      "Recall: 0.993\n",
      "F1: 0.993\n",
      "Accuracy: 0.993\n"
     ]
    }
   ],
   "source": [
    "classification_report(y,pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Distance Metrics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's find the 5 closest points to a new_point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-21T17:49:01.379965Z",
     "start_time": "2018-03-21T17:49:01.353254Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.92484689,  1.41469338],\n",
       "       [ 0.19383649,  2.9138271 ],\n",
       "       [ 4.76088191,  2.77186905],\n",
       "       [ 4.33139631,  3.65616636],\n",
       "       [ 4.2162711 ,  4.89566043]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from zwml.metrics import euclidean_distance\n",
    "\n",
    "data = np.random.uniform(0,10,size=(20,2))\n",
    "new_point = np.random.uniform(0,1, size=(1,2))\n",
    "distance = np.zeros(20)\n",
    "for idx, pt in enumerate(data):\n",
    "    distance[idx] = euclidean_distance(pt, new_point)\n",
    "points_with_distance = np.hstack((data, distance.reshape(-1,1)))\n",
    "sorted_points_by_distance = np.array(sorted(points_with_distance, key=lambda x: x[2]))\n",
    "sorted_points_by_distance[:5,:2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Anomaly Detection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-02T06:06:46.371509Z",
     "start_time": "2018-04-02T06:06:39.063811Z"
    }
   },
   "outputs": [],
   "source": [
    "from zwml.anomaly_detection import isolation_forest\n",
    "\n",
    "iso = isolation_forest(n_trees=50, threshold=1.)\n",
    "\n",
    "X = 0.3 * np.random.randn(100, 2)\n",
    "X_train = np.r_[X + 2, X - 2]\n",
    "X_outliers = np.random.uniform(low=-4, high=4, size=(20, 2))\n",
    "\n",
    "iso.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-02T06:09:39.450655Z",
     "start_time": "2018-04-02T06:07:19.860142Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "preds = iso.predict(X_train)\n",
    "xx, yy = np.meshgrid(np.linspace(-4, 4, 30), np.linspace(-4, 4, 30))\n",
    "Z = iso.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-02T06:11:46.071020Z",
     "start_time": "2018-04-02T06:11:42.935667Z"
    }
   },
   "outputs": [
    {
     "data": {
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0zSpdcXG+XnljpT/wyHJuafVau+JGhaVmHK/p88XI0IPAI/RSDu1R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\nZ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FgEEZRFFgcYZXcdUHCcYTzzDsf3IEc9cyn8ZvQ47gIO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AAACg6Qg7AMS0BXMeVYfUlAYDD4thVsekRC2cMaWFKwvM6I4d5A7BxfmmLvt0ei3B9Em3mpo+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\n138Q5opa1oI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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cce8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use('seaborn')\n",
    "\n",
    "plt.figure(dpi=250)\n",
    "plt.contourf(xx, yy, Z, cmap=plt.cm.coolwarm)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.scatter(X_train[0,0], X_train[0,1], c='k', label=\"Predicted Inlier\", s=10)\n",
    "plt.scatter(X_train[1,0], X_train[1,1], c='r', label=\"Predicted Outlier\", s=10)\n",
    "for pt,label in zip(X_train,preds):\n",
    "    if label > 0:\n",
    "        plt.scatter(pt[0], pt[1],c='k', s=10)\n",
    "    else:\n",
    "        plt.scatter(pt[0], pt[1],c='r',s=10) \n",
    "for pt,label in zip(X_outliers,iso.predict(X_outliers)):\n",
    "    if label > 0:\n",
    "        plt.scatter(pt[0], pt[1],c='k',s=10)\n",
    "    else:\n",
    "        plt.scatter(pt[0], pt[1],c='r',s=10)  \n",
    "        \n",
    "plt.legend(loc='lower right', frameon=True, facecolor='#FFFFFF', edgecolor='#333333');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "3.6.2"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}