Ex9.PDP.and.ICE.ipynb

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    "<img src=\"https://www.th-koeln.de/img/logo.svg\" style=\"float:right;\" width=\"200\">"
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    "# 9th exercise: <font color=\"#C70039\">Interpretable Machine Learning by means of Partial Dependence (PDP) and Individual Conditional Expectation (ICE) Plots</font>\n",
    "* Course: AML\n",
    "* Lecturer: <a href=\"https://www.gernotheisenberg.de/\">Gernot Heisenberg</a>\n",
    "* Author of notebook: <a href=\"https://www.gernotheisenberg.de/\">Gernot Heisenberg</a>\n",
    "* Date:   27.12.2022\n",
    "* Editor: Tobias Esser\n",
    "* matriculation number: 11134729\n",
    "\n",
    "<img src=\"https://scikit-learn.org/stable/_images/sphx_glr_plot_partial_dependence_003.png\" style=\"float: center;\" width=\"800\">\n",
    "\n",
    "---------------------------------\n",
    "**GENERAL NOTE 1**: \n",
    "Please make sure you are reading the entire notebook, since it contains a lot of information on your tasks (e.g. regarding the set of certain paramaters or a specific computational trick), and the written mark downs as well as comments contain a lot of information on how things work together as a whole. \n",
    "\n",
    "**GENERAL NOTE 2**: \n",
    "* Please, when commenting source code, just use English language only. \n",
    "* When describing an observation please use English language, too.\n",
    "* This applies to all exercises throughout this course.\n",
    "\n",
    "---------------------------------\n",
    "\n",
    "### <font color=\"ce33ff\">DESCRIPTION</font>:\n",
    "\n",
    "Partial dependence plots (PDP) and individual conditional expectation (ICE) plots can be used to visualize and analyze the interaction between the target response and a set of input features of interest.\n",
    "Both PDPs [H2009] and ICEs [G2015] assume that the input features of interest are independent from the complement features and this assumption is often violated in practice. Thus, in the case of correlated features, we will create absurd data points to compute the PDP/ICE.\n",
    "\n",
    "[H2009]\n",
    "T. Hastie, R. Tibshirani and J. Friedman, The Elements of Statistical Learning, Second Edition, Section 10.13.2, Springer, 2009.\n",
    "\n",
    "[G2015]\n",
    "A. Goldstein, A. Kapelner, J. Bleich, and E. Pitkin, “Peeking Inside the Black Box: Visualizing Statistical Learning With Plots of Individual Conditional Expectation” Journal of Computational and Graphical Statistics, 24(1): 44-65, Springer, 2015.\n",
    "\n",
    "---------------------------------\n",
    "\n",
    "### <font color=\"FFC300\">TASKS</font>:\n",
    "The tasks that you need to work on within this notebook are always indicated below as bullet points. \n",
    "If a task is more challenging and consists of several steps, this is indicated as well. \n",
    "Make sure you have worked down the task list and commented your doings. \n",
    "This should be done by using markdown.<br> \n",
    "<font color=red>Make sure you don't forget to specify your name and your matriculation number in the notebook.</font>\n",
    "\n",
    "**YOUR TASKS in this exercise are as follows**:\n",
    "1. import the notebook to Google Colab or use your local machine.\n",
    "2. make sure you specified you name and your matriculation number in the header below my name and date. \n",
    "    * set the date too and remove mine.\n",
    "3. read the entire notebook carefully \n",
    "    * add comments whereever you feel it necessary for better understanding\n",
    "    * run the notebook for the first time.\n",
    "    * try to follow the interpretations by printing out the decision tree and look for the feature patterns that the PDPs indicate.\n",
    "\n",
    "**PART I**<br>\n",
    "4. download an interesting data set from Kaggle and do the preprocessing.<br>\n",
    "5. change the classifier according to the data set. The more blackbox the better.<br>\n",
    "6. use PDP to identify the most relevant features explaining the target response of the data set.<br> \n",
    "7. comment your entire code and your findings.<br>  \n",
    "\n",
    "**PART II**<br>\n",
    "8. use the data set and the classifer from steps 4 and 5<br>\n",
    "9. plot ICE curves with parameter (kind='both')<br>\n",
    "10. comment your entire code and your findings.<br>  \n",
    "\n",
    "---------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# <font color=\"ce33ff\">PART I (Partial Dependence Plots)</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "L1MnrZSd06ED"
   },
   "source": [
    "## Imports\n",
    "Import all necessary python utilities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'pdpbox'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[2], line 9\u001b[0m\n\u001b[0;32m      6\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01msklearn\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mensemble\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m RandomForestClassifier\n\u001b[0;32m      8\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m pyplot \u001b[38;5;28;01mas\u001b[39;00m plt\n\u001b[1;32m----> 9\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mpdpbox\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m pdp, get_dataset, info_plots\n\u001b[0;32m     11\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mwarnings\u001b[39;00m \n\u001b[0;32m     12\u001b[0m warnings\u001b[38;5;241m.\u001b[39mfilterwarnings(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mignore\u001b[39m\u001b[38;5;124m'\u001b[39m)\n",
      "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'pdpbox'"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "from pdpbox import pdp, get_dataset, info_plots\n",
    "\n",
    "import warnings \n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "40910\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>hypertension</th>\n",
       "      <th>heart_disease</th>\n",
       "      <th>ever_married</th>\n",
       "      <th>work_type</th>\n",
       "      <th>Residence_type</th>\n",
       "      <th>avg_glucose_level</th>\n",
       "      <th>bmi</th>\n",
       "      <th>smoking_status</th>\n",
       "      <th>stroke</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>63.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>228.69</td>\n",
       "      <td>36.6</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>42.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>105.92</td>\n",
       "      <td>32.5</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>61.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>171.23</td>\n",
       "      <td>34.4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   sex   age  hypertension  heart_disease  ever_married  work_type  \\\n",
       "0  1.0  63.0             0              1             1          4   \n",
       "1  1.0  42.0             0              1             1          4   \n",
       "2  0.0  61.0             0              0             1          4   \n",
       "\n",
       "   Residence_type  avg_glucose_level   bmi  smoking_status  stroke  \n",
       "0               1             228.69  36.6               1       1  \n",
       "1               0             105.92  32.5               0       1  \n",
       "2               1             171.23  34.4               1       1  "
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv('./data/stroke_data.csv')\n",
    "print(len(data))\n",
    "data.head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['sex', 'age', 'hypertension', 'heart_disease', 'ever_married', 'work_type', 'Residence_type', 'avg_glucose_level', 'bmi', 'smoking_status', 'stroke']\n"
     ]
    }
   ],
   "source": [
    "# all features are:\n",
    "print(data.columns.tolist())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preprocessing\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "40907\n"
     ]
    }
   ],
   "source": [
    "data = data.dropna()\n",
    "# Convert from string “Yes”/”No” to binary\n",
    "y = (data['stroke']) \n",
    "float_feature_names = [i for i in data.columns if data[i].dtype in [np.float]]\n",
    "for col in float_feature_names:\n",
    "     data[col] = data[col].astype('int64')\n",
    "feature_names = [i for i in data.columns if data[i].dtype in [np.int64]]\n",
    "\n",
    "x = data[feature_names]\n",
    "print(len(data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train the classifier\n",
    "\n",
    "Start with a simple decision tree model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_x, val_x, train_y, val_y = train_test_split(x, y, random_state=1)\n",
    "tree_model = DecisionTreeClassifier(random_state=0, max_depth=2, min_samples_split=2).fit(train_x, train_y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Dependence Plots (PDP)\n",
    "\n",
    "<font color=red>Note:</font> The calculation of a partial dependence can happen obviously, only after a model has been trained. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 1500x950 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create the data to be plotted\n",
    "pdp_age = pdp.pdp_isolate(model=tree_model, dataset=val_x, model_features=feature_names, feature='age')\n",
    "# plot PDP for feature 'bmi'\n",
    "pdp.pdp_plot(pdp_age, 'age')\n",
    "plt.show( )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A few items are worth pointing out for interpreting this plot.\n",
    "\n",
    "The y axis is interpreted as change in the prediction from what it would be predicted at the baseline or leftmost value.\n",
    "A nice PDP plot feature, when using the PDPBox package, is that the plot shows the confidence interval by the light blue shade.\n",
    "\n",
    "From this particular graph you can interpret, that scoring one goal substantially increases the chances of winning \"Man of The Match.\" \n",
    "But extra goals beyond that show little to no impact on predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x950 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_to_plot = 'smoking_status'\n",
    "pdp_smoking = pdp.pdp_isolate(model=tree_model, dataset=val_x, model_features=feature_names, feature=feature_to_plot)\n",
    "\n",
    "pdp.pdp_plot(pdp_smoking, feature_to_plot)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This PDP plot seems to be too simple to represent reality. \n",
    "Maybe that's because the model is so simple. Print the decision tree to compare that finding to the decision tree structure.\n",
    "For the purpose of \n",
    "Let's back up our theory and do the same plot with a Random Forest model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x950 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_to_plot = 'age'\n",
    "# Build Random Forest model\n",
    "rf_model = RandomForestClassifier(random_state=0).fit(train_x, train_y)\n",
    "\n",
    "pdp_dist = pdp.pdp_isolate(model=rf_model, dataset=val_x, model_features=feature_names, feature=feature_to_plot)\n",
    "\n",
    "pdp.pdp_plot(pdp_dist, feature_to_plot)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color=red>Interpretation:</font> \n",
    "This model says that it is more likely to win 'Man of the Match', if the players run a total of 100km during the game. More running causes lower predictions.\n",
    "Generally spoken, the smoother shape of this curve seems to be more plausible than the step function from the decision tree model. \n",
    "However, this data set is far too small. Be very careful in when interpreting any model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2D Partial Depedence Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, plotting the PDP for two features can be done by using the **pdp_interact** and **pdp_interact_plot** functions.\n",
    "\n",
    "First, switch back to the simple decision tree model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_x, val_x, train_y, val_y = train_test_split(x, y, random_state=1)\n",
    "tree_model = DecisionTreeClassifier(random_state=0, max_depth=5, min_samples_split=5).fit(train_x, train_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 750x950 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Similar to previous PDP plot.\n",
    "# However, use pdp_interact instead of pdp_isolate and pdp_interact_plot instead of pdp_isolate_plot\n",
    "\n",
    "# plot PDP for the two features\n",
    "features_to_plot = ['age', 'smoking_statusdata = data.dropna()']\n",
    "\n",
    "inter1 = pdp.pdp_interact(model=tree_model, dataset=val_x, model_features=feature_names, features=features_to_plot)\n",
    "\n",
    "pdp.pdp_interact_plot(pdp_interact_out=inter1, feature_names=features_to_plot, plot_type='contour')\n",
    "plt.show( )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color=red>Interpretation:</font> \n",
    "This **2D PDP** shows predictions for any combination of **Goals Scored** and **Distance Covered (Kms)**.\n",
    "\n",
    "For example, it seems to yield the highest predictions when a team scores at least one (1) goal and they run a total distance close to 100km. \n",
    "If the players score 0 goals, the covered distance does not matter. \n",
    "\n",
    "Try to see this by tracing through the decision tree with 0 goals!\n",
    "\n",
    "But distance can impact predictions if the players score goals. \n",
    "Make sure you can see this from the 2D PDP. \n",
    "Can you find this pattern in the decision tree too?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# <font color=\"ce33ff\">PART II (Individual Conditional Expectation)</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ICE is also a model-agnostic method that can be applied to any model. \n",
    "In fact, it is basically the same concept as PDP but is different in that it displays the marginal effect of feature(s) \n",
    "for each instance instead of calculating the average effect in a overall data context as the PDP does. \n",
    "Thus, it can understood as the equivalent to a PDP for individual data instances. \n",
    "Visually, an ICE plot displays the dependence of the prediction on a feature for each instance separately, \n",
    "resulting in one line per instance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are multiple packages and libraries that can be used to compute ICE plots. \n",
    "\n",
    "The PartialDependenceDisplay function in the sklearn.inspection module, the PyCEBox package and H2O package’s ice_plot function are available.\n",
    "\n",
    "Let’s take a look at an example in Sklearn’s documentation (https://scikit-learn.org/stable/modules/partial_dependence.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports\n",
    "Import all necessary python utilities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from sklearn.datasets import make_hastie_10_2\n",
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "# make sure you have installed scikit-learn of version > 1.0 \n",
    "# since the method from_estimator() is not available in previous versions\n",
    "from sklearn.inspection import PartialDependenceDisplay"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<sklearn.inspection._plot.partial_dependence.PartialDependenceDisplay at 0x7febebfc5090>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read some inbuild data set as part of the Sklearn data sets being offered\n",
    "# To get more information on the data set please refer to \n",
    "''' https://scikit-learn.org/stable/modules/generated/sklearn.datasets.make_hastie_10_2.html '''\n",
    "\n",
    "x, y = make_hastie_10_2(random_state=0) # set a seed with random_state\n",
    "clf = GradientBoostingClassifier(n_estimators=100, learning_rate=1.0, max_depth=1, random_state=0).fit(x, y)\n",
    "features = [0, 1]\n",
    "PartialDependenceDisplay.from_estimator(clf, x, features, kind='individual')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is evident that, similar to PDPs, ICE curves can be computed only after a model has been trained.\n",
    "\n",
    "If you specify the parameter kind='both', then a PDP and an ICE curve is plotted in one canvas at the same time. \n",
    "This will be meaningful when looking at both, the marginal average effect and marginal individual effects at once!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<sklearn.inspection._plot.partial_dependence.PartialDependenceDisplay at 0x2c7faaada58>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PartialDependenceDisplay.from_estimator(clf, x, features, kind='both')"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "lime_image.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.7.16 (default, Dec  7 2022, 12:54:52) \n[GCC 12.2.1 20221121 (Red Hat 12.2.1-4)]"
  },
  "vscode": {
   "interpreter": {
    "hash": "fd69f43f58546b570e94fd7eba7b65e6bcc7a5bbc4eab0408017d18902915d69"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}