notebooks/mono_xgboost.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# License \n",
    "***\n",
    "Copyright 2017 J. Patrick Hall, phall@h2o.ai & Navdeep Gill, navdeep@h2o.ai\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Monotonic Gradient Boosting using XGBoost \n",
    "***\n",
    "http://xgboost.readthedocs.io/en/latest//tutorials/monotonic.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Monotonicity is an important facet of intepretability. Monotonicity constraints ensure that the modeled relationship between inputs and the target move in only direction, i.e. as an input increases the target can only increase or as input increases the target can only decrease. Such monotonic relationships are usually easier to explain and understand than non-monotonic relationships. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preliminaries: imports, start h2o, load and clean data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# imports\n",
    "import h2o\n",
    "from h2o.estimators.xgboost import H2OXGBoostEstimator\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import xgboost as xgb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Checking whether there is an H2O instance running at http://localhost:54321. connected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div style=\"overflow:auto\"><table style=\"width:50%\"><tr><td>H2O cluster uptime:</td>\n",
       "<td>2 mins 18 secs</td></tr>\n",
       "<tr><td>H2O cluster version:</td>\n",
       "<td>3.14.0.2</td></tr>\n",
       "<tr><td>H2O cluster version age:</td>\n",
       "<td>2 months and 11 days </td></tr>\n",
       "<tr><td>H2O cluster name:</td>\n",
       "<td>H2O_from_python_phall_we1k80</td></tr>\n",
       "<tr><td>H2O cluster total nodes:</td>\n",
       "<td>1</td></tr>\n",
       "<tr><td>H2O cluster free memory:</td>\n",
       "<td>3.545 Gb</td></tr>\n",
       "<tr><td>H2O cluster total cores:</td>\n",
       "<td>8</td></tr>\n",
       "<tr><td>H2O cluster allowed cores:</td>\n",
       "<td>8</td></tr>\n",
       "<tr><td>H2O cluster status:</td>\n",
       "<td>accepting new members, healthy</td></tr>\n",
       "<tr><td>H2O connection url:</td>\n",
       "<td>http://localhost:54321</td></tr>\n",
       "<tr><td>H2O connection proxy:</td>\n",
       "<td>None</td></tr>\n",
       "<tr><td>H2O internal security:</td>\n",
       "<td>False</td></tr>\n",
       "<tr><td>H2O API Extensions:</td>\n",
       "<td>XGBoost, Algos, AutoML, Core V3, Core V4</td></tr>\n",
       "<tr><td>Python version:</td>\n",
       "<td>3.5.2 final</td></tr></table></div>"
      ],
      "text/plain": [
       "--------------------------  ----------------------------------------\n",
       "H2O cluster uptime:         2 mins 18 secs\n",
       "H2O cluster version:        3.14.0.2\n",
       "H2O cluster version age:    2 months and 11 days\n",
       "H2O cluster name:           H2O_from_python_phall_we1k80\n",
       "H2O cluster total nodes:    1\n",
       "H2O cluster free memory:    3.545 Gb\n",
       "H2O cluster total cores:    8\n",
       "H2O cluster allowed cores:  8\n",
       "H2O cluster status:         accepting new members, healthy\n",
       "H2O connection url:         http://localhost:54321\n",
       "H2O connection proxy:\n",
       "H2O internal security:      False\n",
       "H2O API Extensions:         XGBoost, Algos, AutoML, Core V3, Core V4\n",
       "Python version:             3.5.2 final\n",
       "--------------------------  ----------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# start h2o\n",
    "h2o.init()\n",
    "h2o.remove_all()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Load and prepare data for modeling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parse progress: |█████████████████████████████████████████████████████████| 100%\n"
     ]
    }
   ],
   "source": [
    "# load clean data\n",
    "path = '../data/train.csv'\n",
    "frame = h2o.import_file(path=path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# assign target and inputs\n",
    "y = 'SalePrice'\n",
    "X = [name for name in frame.columns if name not in [y, 'Id']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Monotonic constraints are easier to understand for numeric inputs without missing values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# determine column types\n",
    "# impute\n",
    "reals, enums = [], []\n",
    "for key, val in frame.types.items():\n",
    "    if key in X:\n",
    "        if val == 'enum':\n",
    "            enums.append(key)\n",
    "        else: \n",
    "            reals.append(key)\n",
    "            \n",
    "_ = frame[reals].impute(method='median')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# split into training and validation\n",
    "train, valid = frame.split_frame([0.7], seed=12345)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# for convenience create a tuple for xgboost monotone_constraints parameter\n",
    "mono_constraints = tuple(int(i) for i in np.ones(shape=(int(1), len(reals))).tolist()[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train a monotonic predictive model\n",
    "In this XGBoost GBM all the modeled relationships between the inputs and the target are forced to be monotonically increasing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Log transform for better regression results and easy RMSLE in XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead>\n",
       "<tr><th style=\"text-align: right;\">  SalePrice</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr><td style=\"text-align: right;\">    12.2477</td></tr>\n",
       "<tr><td style=\"text-align: right;\">    12.109 </td></tr>\n",
       "<tr><td style=\"text-align: right;\">    12.3172</td></tr>\n",
       "</tbody>\n",
       "</table>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
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oHDQOt05oQ0Mdu4hZrUTJCXGy7tu3L3cJSUTpp3JKVTO5ffk+4AXAE4H/BFxpZmfMalWB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117fe4fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check log transform - looks good\n",
    "%matplotlib inline\n",
    "train['SalePrice'].log().as_data_frame().hist()\n",
    "\n",
    "# Execute log transform\n",
    "train['SalePrice'] = train['SalePrice'].log()\n",
    "valid['SalePrice'] = valid['SalePrice'].log()\n",
    "print(train[0:3, 'SalePrice'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Train XGBoost with monotonicity Constraints"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\ttrain-rmse:0.392431\teval-rmse:0.410079\n",
      "Multiple eval metrics have been passed: 'eval-rmse' will be used for early stopping.\n",
      "\n",
      "Will train until eval-rmse hasn't improved in 50 rounds.\n",
      "[1]\ttrain-rmse:0.391062\teval-rmse:0.408674\n",
      "[2]\ttrain-rmse:0.389529\teval-rmse:0.4069\n",
      "[3]\ttrain-rmse:0.38811\teval-rmse:0.405219\n",
      "[4]\ttrain-rmse:0.386611\teval-rmse:0.40371\n",
      "[5]\ttrain-rmse:0.385231\teval-rmse:0.402377\n",
      "[6]\ttrain-rmse:0.383691\teval-rmse:0.400755\n",
      "[7]\ttrain-rmse:0.382397\teval-rmse:0.399372\n",
      "[8]\ttrain-rmse:0.381199\teval-rmse:0.398078\n",
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      "[604]\ttrain-rmse:0.130281\teval-rmse:0.126105\n",
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      "[606]\ttrain-rmse:0.13021\teval-rmse:0.125987\n",
      "[607]\ttrain-rmse:0.130164\teval-rmse:0.125958\n",
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      "[609]\ttrain-rmse:0.130042\teval-rmse:0.125776\n",
      "[610]\ttrain-rmse:0.130022\teval-rmse:0.125736\n",
      "[611]\ttrain-rmse:0.129964\teval-rmse:0.125685\n",
      "[612]\ttrain-rmse:0.129913\teval-rmse:0.125641\n",
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      "[628]\ttrain-rmse:0.129457\teval-rmse:0.124994\n",
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      "[686]\ttrain-rmse:0.128102\teval-rmse:0.124271\n",
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      "[688]\ttrain-rmse:0.128105\teval-rmse:0.124467\n",
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      "[690]\ttrain-rmse:0.128055\teval-rmse:0.124517\n",
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      "[692]\ttrain-rmse:0.127978\teval-rmse:0.124445\n",
      "[693]\ttrain-rmse:0.127954\teval-rmse:0.124405\n",
      "[694]\ttrain-rmse:0.127945\teval-rmse:0.124423\n",
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      "[699]\ttrain-rmse:0.127913\teval-rmse:0.124479\n",
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      "[701]\ttrain-rmse:0.127918\teval-rmse:0.124508\n",
      "[702]\ttrain-rmse:0.12792\teval-rmse:0.124498\n",
      "[703]\ttrain-rmse:0.127901\teval-rmse:0.12449\n",
      "[704]\ttrain-rmse:0.127846\teval-rmse:0.124429\n",
      "[705]\ttrain-rmse:0.12782\teval-rmse:0.124413\n",
      "[706]\ttrain-rmse:0.127814\teval-rmse:0.124395\n",
      "[707]\ttrain-rmse:0.12782\teval-rmse:0.12447\n",
      "[708]\ttrain-rmse:0.127793\teval-rmse:0.124458\n",
      "[709]\ttrain-rmse:0.127766\teval-rmse:0.124431\n",
      "[710]\ttrain-rmse:0.127739\teval-rmse:0.124418\n",
      "[711]\ttrain-rmse:0.127734\teval-rmse:0.124449\n",
      "[712]\ttrain-rmse:0.127724\teval-rmse:0.124484\n",
      "[713]\ttrain-rmse:0.127728\teval-rmse:0.124503\n",
      "[714]\ttrain-rmse:0.127697\teval-rmse:0.124507\n",
      "[715]\ttrain-rmse:0.127705\teval-rmse:0.124513\n",
      "[716]\ttrain-rmse:0.127709\teval-rmse:0.124488\n",
      "[717]\ttrain-rmse:0.127725\teval-rmse:0.124546\n",
      "[718]\ttrain-rmse:0.127716\teval-rmse:0.124566\n",
      "[719]\ttrain-rmse:0.127709\teval-rmse:0.124548\n",
      "[720]\ttrain-rmse:0.127703\teval-rmse:0.124569\n",
      "[721]\ttrain-rmse:0.127712\teval-rmse:0.124528\n",
      "[722]\ttrain-rmse:0.127674\teval-rmse:0.12451\n",
      "[723]\ttrain-rmse:0.127662\teval-rmse:0.124498\n",
      "[724]\ttrain-rmse:0.127666\teval-rmse:0.124525\n",
      "Stopping. Best iteration:\n",
      "[674]\ttrain-rmse:0.128313\teval-rmse:0.124135\n",
      "\n"
     ]
    }
   ],
   "source": [
    "ave_y = train['SalePrice'].mean()[0]\n",
    "\n",
    "# XGBoost uses SVMLight data structure, not Numpy arrays or Pandas data frames \n",
    "dtrain = xgb.DMatrix(train.as_data_frame()[reals],\n",
    "                      train.as_data_frame()['SalePrice'])\n",
    "dvalid = xgb.DMatrix(valid.as_data_frame()[reals],\n",
    "                      valid.as_data_frame()['SalePrice'])\n",
    "\n",
    "# tuning parameters\n",
    "params = {\n",
    "    'objective': 'reg:linear',\n",
    "    'booster': 'gbtree', \n",
    "    'eval_metric': 'rmse',\n",
    "    'eta': 0.005,\n",
    "    'subsample': 0.1, \n",
    "    'colsample_bytree': 0.8,\n",
    "    'max_depth': 5,\n",
    "    'reg_alpha' : 0.01,\n",
    "    'reg_lambda' : 0.0,\n",
    "    'monotone_constraints':mono_constraints,\n",
    "    'base_score': ave_y,\n",
    "    'silent': 0,\n",
    "    'seed': 12345,\n",
    "}\n",
    "\n",
    "# watchlist is used for early stopping\n",
    "watchlist = [(dtrain, 'train'), (dvalid, 'eval')]\n",
    "\n",
    "# train model\n",
    "xgb_model1 = xgb.train(params, \n",
    "                       dtrain, \n",
    "                       1000,\n",
    "                       evals=watchlist, \n",
    "                       early_stopping_rounds=50, \n",
    "                       verbose_eval=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot variable importance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aynL0BV5S1f0ichQj5ZF+iZqaJdMXPPW8LyLXYrxVmRlqd4qI79K2/Jj9aS08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\nAiAi3TCiuuUx+my5vOkZ4QR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LDTV7e8BxVW0eEN8VowN2ifprk53Ntrtg1nrURm0D5gJ9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+l4FDOqg6wGOojIXCxLdVuMb9Z3grf/ya+BF7yNTo0aNXjxxRe54IILqF+/Pjt27OD111/ns88+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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ad3f320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = xgb.plot_importance(xgb_model1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examine monotonic behavior with partial dependence and ICE\n",
    "* Partial dependence is used to view the global, average behavior of a variable under the monotonic model.\n",
    "* ICE is used to view the local behavior of a single instance and single variable under the monotonic model.\n",
    "* Overlaying partial dependence onto ICE in a plot is a convenient way to validate and understand both global and local monotonic behavior."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Helper function for calculating partial dependence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def par_dep(xs, frame, model, resolution=20, bins=None):\n",
    "    \n",
    "    \"\"\" Creates Pandas dataframe containing partial dependence for a single variable.\n",
    "    \n",
    "    Args:\n",
    "        xs: Variable for which to calculate partial dependence.\n",
    "        frame: H2OFrame for which to calculate partial dependence.\n",
    "        model: XGBoost model for which to calculate partial dependence.\n",
    "        resolution: The number of points across the domain of xs for which to calculate partial dependence.\n",
    "    \n",
    "    Returns:\n",
    "        Pandas dataframe containing partial dependence values.\n",
    "        \n",
    "    \"\"\"\n",
    "    \n",
    "    # don't show progress bars for parse\n",
    "    h2o.no_progress()\n",
    "    \n",
    "    # init empty Pandas frame w/ correct col names\n",
    "    par_dep_frame = pd.DataFrame(columns=[xs, 'partial_dependence'])\n",
    "    \n",
    "    # cache original data \n",
    "    col_cache = h2o.deep_copy(frame[xs], xid='col_cache')\n",
    "  \n",
    "    # determine values at which to calculate partial dependency\n",
    "    if bins == None:\n",
    "        min_ = frame[xs].min()\n",
    "        max_ = frame[xs].max()\n",
    "        by = (max_ - min_)/resolution\n",
    "        bins = np.arange(min_, max_, by)\n",
    "        \n",
    "    # calculate partial dependency  \n",
    "    # by setting column of interest to constant \n",
    "    for j in bins:\n",
    "        frame[xs] = j\n",
    "        dframe = xgb.DMatrix(frame.as_data_frame(),)\n",
    "        par_dep_i = h2o.H2OFrame(model.predict(dframe).tolist())\n",
    "        par_dep_j = par_dep_i.mean()[0]\n",
    "        par_dep_frame = par_dep_frame.append({xs:j,\n",
    "                                              'partial_dependence': par_dep_j}, \n",
    "                                              ignore_index=True)\n",
    "        \n",
    "    # return input frame to original cached state    \n",
    "    frame[xs] = h2o.get_frame('col_cache')\n",
    "\n",
    "    return par_dep_frame\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate partial dependence for 3 important variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "par_dep_OverallCond = par_dep('OverallCond', valid[reals], xgb_model1)\n",
    "par_dep_GrLivArea = par_dep('GrLivArea', valid[reals], xgb_model1)\n",
    "par_dep_LotArea = par_dep('LotArea', valid[reals], xgb_model1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Helper function for finding decile indices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def get_quantile_dict(y, id_, frame):\n",
    "\n",
    "    \"\"\" Returns the percentiles of a column y as the indices for another column id_.\n",
    "    \n",
    "    Args:\n",
    "        y: Column in which to find percentiles.\n",
    "        id_: Id column that stores indices for percentiles of y.\n",
    "        frame: H2OFrame containing y and id_. \n",
    "    \n",
    "    Returns:\n",
    "        Dictionary of percentile values and index column values.\n",
    "    \n",
    "    \"\"\"\n",
    "    \n",
    "    quantiles_df = frame.as_data_frame()\n",
    "    quantiles_df.sort_values(y, inplace=True)\n",
    "    quantiles_df.reset_index(inplace=True)\n",
    "    \n",
    "    percentiles_dict = {}\n",
    "    percentiles_dict[0] = quantiles_df.loc[0, id_]\n",
    "    percentiles_dict[99] = quantiles_df.loc[quantiles_df.shape[0]-1, id_]\n",
    "    inc = quantiles_df.shape[0]//10\n",
    "    \n",
    "    for i in range(1, 10):\n",
    "        percentiles_dict[i * 10] = quantiles_df.loc[i * inc,  id_]\n",
    "\n",
    "    return percentiles_dict\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate deciles of SaleProce"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "quantile_dict = get_quantile_dict('SalePrice', 'Id', valid)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate values for ICE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "bins_OverallCond = list(par_dep_OverallCond['OverallCond'])\n",
    "bins_GrLivArea = list(par_dep_GrLivArea['GrLivArea'])\n",
    "bins_LotArea = list(par_dep_LotArea['LotArea'])\n",
    "\n",
    "for i in sorted(quantile_dict.keys()):\n",
    "    \n",
    "    col_name = 'Percentile_' + str(i)\n",
    "    \n",
    "    par_dep_OverallCond[col_name] = par_dep('OverallCond', \n",
    "                                            valid[valid['Id'] == int(quantile_dict[i])][reals], \n",
    "                                            xgb_model1, \n",
    "                                            bins=bins_OverallCond)['partial_dependence']\n",
    "    \n",
    "    par_dep_GrLivArea[col_name] = par_dep('GrLivArea', \n",
    "                                          valid[valid['Id'] == int(quantile_dict[i])][reals], \n",
    "                                          xgb_model1, \n",
    "                                          bins=bins_GrLivArea)['partial_dependence']\n",
    "    \n",
    "    par_dep_LotArea[col_name] = par_dep('LotArea', \n",
    "                                         valid[valid['Id'] == int(quantile_dict[i])][reals], \n",
    "                                         xgb_model1, \n",
    "                                         bins=bins_LotArea)['partial_dependence']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot Partial Dependence and ICE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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52/l32b1U+v9ZqYpTnO92sccEKKWUUkoppa5s2h1IKaWUUkqVm+PHjxe43el0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\nnxnysrOzee211+jRowf169e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rIyAAbQQopVQRGOPC/HIMc+4bXOeOYM4dwXXuG/v5COb8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\nEWMIkCRJkkbMvwG8a9SjTnSKOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11bd79e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# OverallCond\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "par_dep_OverallCond.drop('partial_dependence', axis=1).plot(x='OverallCond', colormap='gnuplot', ax=ax)\n",
    "\n",
    "par_dep_OverallCond.plot(title='Partial Dependence and ICE for OverallCond',\n",
    "                         x='OverallCond', \n",
    "                         y='partial_dependence',\n",
    "                         style='r-', \n",
    "                         linewidth=3, \n",
    "                         ax=ax)\n",
    "\n",
    "_ = plt.legend(bbox_to_anchor=(1.05, 0),\n",
    "               loc=3, \n",
    "               borderaxespad=0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0EqCUUkoppUrUvXt3evTo4Xt/8OBBXC4Xy5Ytq8JcqfLSSoBSSimlVCktXboU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11af7e2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GrLivArea\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "par_dep_GrLivArea.drop('partial_dependence', axis=1).plot(x='GrLivArea', colormap='gnuplot', ax=ax)\n",
    "\n",
    "par_dep_GrLivArea.plot(title='Partial Dependence and ICE for GrLivArea',\n",
    "                         x='GrLivArea', \n",
    "                         y='partial_dependence',\n",
    "                         style='r-', \n",
    "                         linewidth=3, \n",
    "                         ax=ax)\n",
    "\n",
    "_ = plt.legend(bbox_to_anchor=(1.05, 0),\n",
    "               loc=3, \n",
    "               borderaxespad=0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GG9fSqcaYSyKyH3hQRFKxvm/7sJaUBfgwn/L/jvW34xHgq0LqWtTv+d+w5hz9U0RWYf0e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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ad94240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LotArea\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "par_dep_LotArea.drop('partial_dependence', axis=1).plot(x='LotArea', colormap='gnuplot', ax=ax)\n",
    "\n",
    "par_dep_LotArea.plot(title='Partial Dependence and ICE for LotArea',\n",
    "                     x='LotArea', \n",
    "                     y='partial_dependence',\n",
    "                     style='r-', \n",
    "                     linewidth=3, \n",
    "                     ax=ax)\n",
    "\n",
    "_ = plt.legend(bbox_to_anchor=(1.05, 0),\n",
    "               loc=3, \n",
    "               borderaxespad=0.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Shutdown H2O"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Are you sure you want to shutdown the H2O instance running at http://localhost:54321 (Y/N)? y\n",
      "H2O session _sid_b9a9 closed.\n"
     ]
    }
   ],
   "source": [
    "h2o.cluster().shutdown(prompt=True)"
   ]
  }
 ],
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