XGBoost_Whales.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Data Analysis using XGBoost\n",
    "We are going to use boosted trees. The question is: why don't we use the gradient boosted in Spark?\n",
    "\n",
    "THe reason is that, in our experience, XGBoost running on a single machine is much faster than Spark running on 10 machines. So we use XGBoost and am showing you how to use it here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## Importing Required Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import xgboost as xgb\n",
    "from sklearn.model_selection import train_test_split\n",
    "import matplotlib.pyplot as plt\n",
    "from lib import XGBHelper as xgbh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Loading Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The data files were preprocessed on PySpark (10 nodes) cluster. The code for the same can be found [here](Data_Processing_Whales.ipynb). The preprocessed is a numpy array with `4175` rows (for the 10mb file) with following columns (zero-indexed):\n",
    "* Col 0-9: projections on first 10 eigen vectors\n",
    "* Col 10: rmse\n",
    "* Col 11: peak2peak\n",
    "* Col 12: label (`0 if row.species==u'Gervais' else 1`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "#Use Data/processed_data_150mb.np for a slightly bigger file\n",
    "data  = np.load(\"Data/processed_data_15mb.np\")\n",
    "X = data[:, :-1]\n",
    "y = np.array(data[:, -1], dtype=int)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Train - Test - Validation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The data is shuffled and divided as follow:\n",
    "* Training: 70%\n",
    "* Validation: 15%\n",
    "* Testing: 15%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.30)\n",
    "X_test, X_val, y_test, y_val = train_test_split(X_test, y_test, test_size=0.5)\n",
    "\n",
    "dtrain = xgb.DMatrix(X_train, label=y_train)\n",
    "dval = xgb.DMatrix(X_val, y_val)\n",
    "dtest = xgb.DMatrix(X_test, label=y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Model Training and Feature Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Setting Parameters for XG Boost\n",
    "* Maximum Depth of the Tree = 3 _(maximum depth of each decision trees)_\n",
    "* Step size shrinkage used in update to prevents overfitting = 0.3 _(how to weigh trees in subsequent iterations)_\n",
    "* Evaluation Criterion= Maximize Loglikelihood according to the logistic regression _(logitboost)_\n",
    "* Maximum Number of Iterations = 1000 _(total number trees for boosting)_\n",
    "* Early Stop if score on Validation does not improve for 5 iterations\n",
    "\n",
    "[Full description of options](https://xgboost.readthedocs.io/en/latest//parameter.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'max_depth': 3, 'eta': 0.3, 'silent': 0, 'objective': 'binary:logistic', 'nthread': 7, 'eval_metric': 'logloss'}\n"
     ]
    }
   ],
   "source": [
    "\n",
    "param = {}\n",
    "param['max_depth']= 3   # depth of tree\n",
    "param['eta'] = 0.3      # shrinkage parameter\n",
    "param['silent'] = 0     # not silent\n",
    "param['objective'] = 'binary:logistic'\n",
    "param['nthread'] = 7 # Number of threads used\n",
    "param['eval_metric'] = 'logloss'\n",
    "\n",
    "plst = param.items()\n",
    "print(param)\n",
    "evallist = [(dtrain, 'train'), (dtest, 'eval')]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Training the model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Note: Running XGBoost for 1000 iterations **On the full data** takes about 70-80 minutes to train. Use **verbose_eval=True** to track number of iterations complete."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "[967]\ttrain-logloss:0.006955\teval-logloss:0.47899\n",
      "[968]\ttrain-logloss:0.006927\teval-logloss:0.479707\n",
      "[969]\ttrain-logloss:0.006913\teval-logloss:0.47997\n",
      "[970]\ttrain-logloss:0.006894\teval-logloss:0.480414\n",
      "[971]\ttrain-logloss:0.006875\teval-logloss:0.48061\n",
      "[972]\ttrain-logloss:0.006861\teval-logloss:0.480374\n",
      "[973]\ttrain-logloss:0.006847\teval-logloss:0.480649\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[974]\ttrain-logloss:0.006828\teval-logloss:0.481585\n",
      "[975]\ttrain-logloss:0.006824\teval-logloss:0.481624\n",
      "[976]\ttrain-logloss:0.006816\teval-logloss:0.481404\n",
      "[977]\ttrain-logloss:0.006811\teval-logloss:0.48146\n",
      "[978]\ttrain-logloss:0.006802\teval-logloss:0.481974\n",
      "[979]\ttrain-logloss:0.006792\teval-logloss:0.482275\n",
      "[980]\ttrain-logloss:0.00678\teval-logloss:0.482181\n",
      "[981]\ttrain-logloss:0.006774\teval-logloss:0.482282\n",
      "[982]\ttrain-logloss:0.006766\teval-logloss:0.482358\n",
      "[983]\ttrain-logloss:0.006753\teval-logloss:0.482727\n",
      "[984]\ttrain-logloss:0.006749\teval-logloss:0.482907\n",
      "[985]\ttrain-logloss:0.006742\teval-logloss:0.482866\n",
      "[986]\ttrain-logloss:0.006728\teval-logloss:0.482989\n",
      "[987]\ttrain-logloss:0.006711\teval-logloss:0.483304\n",
      "[988]\ttrain-logloss:0.006696\teval-logloss:0.483531\n",
      "[989]\ttrain-logloss:0.00668\teval-logloss:0.483355\n",
      "[990]\ttrain-logloss:0.006661\teval-logloss:0.483595\n",
      "[991]\ttrain-logloss:0.006652\teval-logloss:0.484033\n",
      "[992]\ttrain-logloss:0.006637\teval-logloss:0.483978\n",
      "[993]\ttrain-logloss:0.006622\teval-logloss:0.484301\n",
      "[994]\ttrain-logloss:0.006604\teval-logloss:0.483875\n",
      "[995]\ttrain-logloss:0.006588\teval-logloss:0.483825\n",
      "[996]\ttrain-logloss:0.006568\teval-logloss:0.483829\n",
      "[997]\ttrain-logloss:0.006556\teval-logloss:0.484212\n",
      "[998]\ttrain-logloss:0.006536\teval-logloss:0.484709\n",
      "[999]\ttrain-logloss:0.006525\teval-logloss:0.484711\n"
     ]
    }
   ],
   "source": [
    "%time\n",
    "# bst1000 is model with 1000 iterations\n",
    "num_round = 1000\n",
    "# Use early_stopping_rounds=5 to enable early stopping\n",
    "bst1000 = xgb.train(plst, dtrain, num_round, evallist, verbose_eval=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "       1.78457242e-07, 9.99894619e-01, 9.99957085e-01, 9.93982613e-01,\n",
       "       8.16793414e-04, 9.83427584e-01, 1.56404130e-04, 9.94873703e-01,\n",
       "       9.96926486e-01, 2.21786629e-02, 9.99954820e-01, 9.99999046e-01,\n",
       "       8.12061171e-06, 1.04485020e-01, 8.06614935e-01, 9.97882187e-01,\n",
       "       9.99922514e-01, 9.95782256e-01, 1.75168008e-01, 2.27232413e-05,\n",
       "       1.70167044e-01, 7.23855774e-05], dtype=float32)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = bst1000.predict(dtest, ntree_limit=bst1000.best_ntree_limit, output_margin=False)\n",
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "       -5.18935823e+00,  5.68728018e+00, -8.37810040e-01,  6.14639139e+00,\n",
       "        5.63392210e+00, -6.58171844e+00,  2.13303256e+00,  7.18875742e+00,\n",
       "        1.02696066e+01,  1.29124832e+01,  6.75303650e+00, -1.44544268e+01,\n",
       "        8.31624699e+00,  7.91525602e+00, -8.54586315e+00, -1.42587080e+01,\n",
       "       -5.11819315e+00,  1.44641268e+00,  2.37693381e+00,  8.17069340e+00,\n",
       "       -6.77309227e+00, -1.11489134e+01, -3.92032242e+00, -9.82999897e+00,\n",
       "        9.56258202e+00,  1.06713390e+01, -1.29795876e+01,  1.37644696e+00,\n",
       "       -7.83251572e+00,  1.13920012e+01,  1.73148727e+00,  8.37501335e+00,\n",
       "       -4.43999100e+00, -1.56959915e+00,  5.76060772e+00, -6.11191845e+00,\n",
       "       -4.73112440e+00,  1.05036936e+01, -1.06278915e+01, -8.26407337e+00,\n",
       "        1.32317305e-01,  8.60746145e-01,  1.13557453e+01, -4.49886942e+00,\n",
       "        2.58178890e-01,  5.03544331e+00,  5.24293327e+00, -1.84763360e+00,\n",
       "        1.14116898e+01,  3.64755481e-01, -5.16391802e+00,  7.71254492e+00,\n",
       "       -7.00985622e+00, -5.17318392e+00,  2.75930285e+00,  8.38513851e+00,\n",
       "       -1.16221199e+01, -1.43825138e+00,  8.08950806e+00, -1.53468323e+00,\n",
       "       -8.42164040e+00,  4.30445719e+00, -5.44872570e+00,  1.28839855e+01,\n",
       "        1.61665034e+00,  8.06773376e+00, -2.13149166e+00, -8.93359601e-01,\n",
       "        1.47742157e+01, -7.70745564e+00,  9.11353111e+00,  6.76894140e+00,\n",
       "       -4.89796191e-01,  1.12619746e+00,  1.83682358e+00,  5.07138014e+00,\n",
       "        1.21100390e+00,  4.47742271e+00, -9.31149960e+00,  1.03831835e+01,\n",
       "        1.42386665e+01,  8.75030994e+00, -8.95236206e+00,  4.99331665e+00,\n",
       "       -3.47037077e+00, -2.66151810e+00,  5.49233532e+00, -3.81424308e+00,\n",
       "        8.27881622e+00, -1.70556335e+01, -4.10576686e-02, -4.89719057e+00,\n",
       "        1.13481283e+01,  1.24864798e+01], dtype=float32)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Visualize the Feature Importance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "features_map = {'f0' : 'Eigen Projection 1', 'f1' : 'Eigen Projection 2',\n",
    "                'f2' : 'Eigen Projection 3', 'f3' : 'Eigen Projection 4',\n",
    "                'f4' : 'Eigen Projection 5', 'f5' : 'Eigen Projection 6',\n",
    "                'f6' : 'Eigen Projection 7', 'f7' : 'Eigen Projection 8',\n",
    "                'f8' : 'Eigen Projection 9', 'f9' : 'Eigen Projection 10',\n",
    "                'f10' : 'RMSE', 'f11' : 'Peak2Peak'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 Iterations\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x27edf477128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Feature Mapping:\n",
      "f0 \t:  Eigen Projection 1\n",
      "f1 \t:  Eigen Projection 2\n",
      "f2 \t:  Eigen Projection 3\n",
      "f3 \t:  Eigen Projection 4\n",
      "f4 \t:  Eigen Projection 5\n",
      "f5 \t:  Eigen Projection 6\n",
      "f6 \t:  Eigen Projection 7\n",
      "f7 \t:  Eigen Projection 8\n",
      "f8 \t:  Eigen Projection 9\n",
      "f9 \t:  Eigen Projection 10\n",
      "f10 \t:  RMSE\n",
      "f11 \t:  Peak2Peak\n"
     ]
    }
   ],
   "source": [
    "print(\"100 Iterations\")\n",
    "xgbh.visualize_features(bst1000, features_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000 Iterations\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Feature Mapping:\n",
      "f0 \t:  Eigen Projection 1\n",
      "f1 \t:  Eigen Projection 2\n",
      "f2 \t:  Eigen Projection 3\n",
      "f3 \t:  Eigen Projection 4\n",
      "f4 \t:  Eigen Projection 5\n",
      "f5 \t:  Eigen Projection 6\n",
      "f6 \t:  Eigen Projection 7\n",
      "f7 \t:  Eigen Projection 8\n",
      "f8 \t:  Eigen Projection 9\n",
      "f9 \t:  Eigen Projection 10\n",
      "f10 \t:  RMSE\n",
      "f11 \t:  Peak2Peak\n"
     ]
    }
   ],
   "source": [
    "print(\"1000 Iterations\")\n",
    "xgbh.visualize_features(bst1000, features_map)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Margin Plots on Test Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "\n",
    "y_pred_1000 = bst1000.predict(dtest, ntree_limit=bst1000.best_ntree_limit, output_margin=True)\n",
    "y_test = dtest.get_label()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# #Uncomment this part if you want to load directly from the pickle file instead of running XGBoost for 1000 iterations on the entire data.\n",
    "# #Processed pickle file (xgboost_output_full_data.pk) has been provided. \n",
    "# import pickle\n",
    "\n",
    "# #Processed output after running them on a model\n",
    "# p = pickle.load(open('Data/xgboost_output_full_data.pk', 'rb'))\n",
    "\n",
    "# y_test = np.array(p['y_test'], dtype = int)\n",
    "# y_pred_100 = p['y_pred_100']\n",
    "# y_pred_1000 = p['y_pred_1000']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f7c22a1240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f7c2ca5c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f7c23aaf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_round = 100\n",
    "for _train_size in [0.03,0.1,0.8]:\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    for i in range(10):\n",
    "        X_train, X_test, y_train, y_test = train_test_split(X, y, train_size=_train_size,test_size=1-_train_size)\n",
    "        X_test, X_val, y_test, y_val = train_test_split(X_test, y_test, test_size=0.5)\n",
    "\n",
    "        dtrain = xgb.DMatrix(X_train, label=y_train)\n",
    "        dval = xgb.DMatrix(X_val, y_val)\n",
    "        dtest = xgb.DMatrix(X_test, label=y_test)\n",
    "        legends=[]\n",
    "        # Use early_stopping_rounds=5 to enable early stopping\n",
    "        for num_round in [10,100]:\n",
    "            bst = xgb.train(plst, dtrain, num_round, evallist, verbose_eval=False)\n",
    "            y_pred = bst.predict(dtest, ntree_limit=bst.best_ntree_limit, output_margin=True)\n",
    "            thresholds = sorted(np.unique(np.round(y_pred, 2)))\n",
    "            error_cuv, error_ger = xgbh.get_error_values(y_pred, y_test, thresholds)\n",
    "            legends += ['Cuviers %d'%num_round, 'Gervais %d'%num_round]\n",
    "            _style=['y','g'] if num_round==100 else ['b', 'r']\n",
    "            xgbh.get_margin_plot(error_cuv, error_ger, thresholds, legends = legends, style=_style)\n",
    "        \n",
    "        plt.grid(which='major', linestyle='-', linewidth='0.5', color='gray')\n",
    "        plt.grid(which='minor', linestyle=':', linewidth='0.5', color='gray')\n",
    "        thr = thresholds/(np.max(thresholds) - np.min(thresholds))\n",
    "    plt.title('data_size=%4.3f'%(X_train.shape[0]))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
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       " 1.0]"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "error_cuv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Per example variation analysis\n",
    "The CDFs provide information on the variation of the aggregate. If we want to estimate of the confidence on a single examples we need to compute the variance **per example**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4175, 13)"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data  = np.load(\"Data/processed_data_15mb.np\")\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f7c23d7b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import roc_curve\n",
    "plt.figure(figsize=(8, 6))\n",
    "fpr, tpr, thresholds = roc_curve(y_test, y_pred)\n",
    "#plt.plot(fpr, tpr)\n",
    "#fpr, tpr, thresholds = roc_curve(y_test, y_pred_1000)\n",
    "plt.plot(fpr, tpr)\n",
    "plt.xlabel('FPR')\n",
    "plt.ylabel('TPR')\n",
    "plt.title(\"ROC Curve after 100 iterations\")\n",
    "plt.grid()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def get_error_ranges(error_cuv_samp, error_ger_samp, thresholds_samp, num_chunks=20):\n",
    "    error_cuv_bin = np.array(np.array(error_cuv_samp) * num_chunks, dtype=int)\n",
    "    error_cuv_bin[error_cuv_bin == num_chunks] = num_chunks - 1\n",
    "    error_ger_bin = np.array(np.array(error_ger_samp) * num_chunks, dtype=int)\n",
    "    error_ger_bin[error_ger_bin == num_chunks] = num_chunks - 1\n",
    "    \n",
    "    min_cuv = np.zeros(num_chunks, dtype=float)\n",
    "    max_cuv = np.zeros(num_chunks, dtype=float)\n",
    "    min_ger = np.zeros(num_chunks, dtype=float)\n",
    "    max_ger = np.zeros(num_chunks, dtype=float)\n",
    "    \n",
    "    normalizing_factor = (max(thresholds_samp) - min(thresholds_samp))\n",
    "    \n",
    "    for i in range(num_chunks):\n",
    "        min_cuv[i] = thresholds_samp[np.min(np.where(error_cuv_bin == i))]/normalizing_factor\n",
    "        max_cuv[i] = thresholds_samp[np.max(np.where(error_cuv_bin == i))]/normalizing_factor\n",
    "        min_ger[i] = thresholds_samp[np.max(np.where(error_ger_bin == i))]/normalizing_factor\n",
    "        max_ger[i] = thresholds_samp[np.min(np.where(error_ger_bin == i))]/normalizing_factor\n",
    "            \n",
    "    return min_cuv, max_cuv, min_ger, max_ger"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def generate_samples(data, size=500, num_chunks=20):\n",
    "    for i in range(200):\n",
    "        if i == 0:\n",
    "            min_cuv = np.zeros(num_chunks, dtype=float)\n",
    "            max_cuv = np.zeros(num_chunks, dtype=float)\n",
    "            min_ger = np.zeros(num_chunks, dtype=float)\n",
    "            max_ger = np.zeros(num_chunks, dtype=float)\n",
    "        \n",
    "        #Sampling Random indices for selection\n",
    "        samp_indices = np.random.randint(len(data), size=size)\n",
    "        \n",
    "        #Test data and labels\n",
    "        X_samp = data[samp_indices, :-1]\n",
    "        y_samp = np.array(data[samp_indices, -1], dtype=int)\n",
    "        \n",
    "        #Test predictions\n",
    "        dsamp = xgb.DMatrix(X_samp, label=y_samp)    \n",
    "        y_samp_pred = bst.predict(dsamp, ntree_limit=bst.best_ntree_limit, output_margin=True)\n",
    "\n",
    "        thresholds_samp = sorted(np.unique(np.round(y_samp_pred, 2)))\n",
    "        error_cuv_samp, error_ger_samp = xgbh.get_error_values(y_samp_pred, y_samp, thresholds_samp)\n",
    "        \n",
    "        min_cuv_samp, max_cuv_samp, min_ger_samp, max_ger_samp = get_error_ranges(error_cuv_samp, error_ger_samp, thresholds_samp)\n",
    "        \n",
    "        if i == 0:\n",
    "            min_cuv = min_cuv_samp\n",
    "            max_cuv = max_cuv_samp\n",
    "            min_ger = min_ger_samp\n",
    "            max_ger = max_ger_samp\n",
    "        else:\n",
    "            min_cuv[min_cuv > min_cuv_samp] = min_cuv_samp[min_cuv > min_cuv_samp]\n",
    "            max_cuv[max_cuv < max_cuv_samp] = max_cuv_samp[max_cuv < max_cuv_samp]\n",
    "            min_ger[min_ger > min_ger_samp] = min_ger_samp[min_ger > min_ger_samp]\n",
    "            max_ger[max_ger < max_ger_samp] = max_ger_samp[max_ger < max_ger_samp]         \n",
    "    \n",
    "    for i in range(20):\n",
    "        plt.plot([min_cuv[i], max_cuv[i]], [i/20.0, i/20.0], 'b')\n",
    "        plt.plot([min_ger[i], max_ger[i]], [i/20.0, i/20.0], 'r')\n",
    "    #print(min_cuv, max_cuv, min_ger, max_ger)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "hide_input": false,
    "scrolled": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Thresholds (lower, upper): -0.10643545 0.16115725\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f7c22a1128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "#legends = ['Cuviers', 'Gervais']\n",
    "\n",
    "#Best thresholds from the ROC Analysis\n",
    "thr_lower_index = np.min(np.where((tpr > 0.95)))\n",
    "thr_upper_index = np.max(np.where((tpr  < 0.6)))\n",
    "thr_lower, thr_upper = thresholds[thr_lower_index], thresholds[thr_upper_index]\n",
    "thr_lower_norm = thr_lower/(np.max(thresholds) - np.min(thresholds))\n",
    "thr_upper_norm = thr_upper/(np.max(thresholds) - np.min(thresholds))\n",
    "print(\"Thresholds (lower, upper):\", thr_lower_norm, thr_upper_norm)\n",
    "\n",
    "\n",
    "generate_samples(data, num_chunks=20)\n",
    "\n",
    "#xgbh.get_margin_plot(error_cuv_100, error_ger_100, thresholds_100, legends = legends, style=['y', 'g'])\n",
    "plt.plot([thr_lower_norm, thr_lower_norm], [0, 1], 'm:')\n",
    "plt.plot([thr_upper_norm, thr_upper_norm], [0, 1], 'm:')\n",
    "plt.grid(which='major', linestyle='-', linewidth='0.5', color='gray')\n",
    "plt.grid(which='minor', linestyle=':', linewidth='0.5', color='gray')\n",
    "plt.xlabel('Margin Score')\n",
    "plt.ylabel('Error %')\n",
    "legends = ['Cuviers_100', 'Gervais_100']\n",
    "plt.legend(legends)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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