lightgbm_pr_demo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "import pandas as pd  \n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "import lightgbm as gbm\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_boston\n",
    "boston_dataset = load_boston()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "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",
       "        vertical-align: top;\n",
       "    }\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>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1.0</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0  296.0   \n",
       "1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0  242.0   \n",
       "2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0  242.0   \n",
       "3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0  222.0   \n",
       "4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  \n",
       "0     15.3  396.90   4.98  \n",
       "1     17.8  396.90   9.14  \n",
       "2     17.8  392.83   4.03  \n",
       "3     18.7  394.63   2.94  \n",
       "4     18.7  396.90   5.33  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boston = pd.DataFrame(boston_dataset.data, columns=boston_dataset.feature_names)\n",
    "boston.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "trn_x, val_x, trn_y, val_y = train_test_split(boston.values,boston_dataset.target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1]\tvalid_0's l2: 73.9348\n",
      "[2]\tvalid_0's l2: 63.3708\n",
      "[3]\tvalid_0's l2: 54.8412\n",
      "[4]\tvalid_0's l2: 47.1469\n",
      "[5]\tvalid_0's l2: 41.7793\n",
      "[6]\tvalid_0's l2: 36.9581\n",
      "[7]\tvalid_0's l2: 32.7778\n",
      "[8]\tvalid_0's l2: 29.717\n",
      "[9]\tvalid_0's l2: 26.8261\n",
      "[10]\tvalid_0's l2: 24.3572\n",
      "[11]\tvalid_0's l2: 22.6849\n",
      "[12]\tvalid_0's l2: 21.0171\n",
      "[13]\tvalid_0's l2: 19.4292\n",
      "[14]\tvalid_0's l2: 18.2604\n",
      "[15]\tvalid_0's l2: 17.2405\n",
      "[16]\tvalid_0's l2: 16.2771\n",
      "[17]\tvalid_0's l2: 15.6395\n",
      "[18]\tvalid_0's l2: 15.0626\n",
      "[19]\tvalid_0's l2: 14.4002\n",
      "[20]\tvalid_0's l2: 13.9317\n",
      "[21]\tvalid_0's l2: 13.526\n",
      "[22]\tvalid_0's l2: 13.2994\n",
      "[23]\tvalid_0's l2: 12.9237\n",
      "[24]\tvalid_0's l2: 12.7652\n",
      "[25]\tvalid_0's l2: 12.5356\n",
      "[26]\tvalid_0's l2: 12.2051\n",
      "[27]\tvalid_0's l2: 12.0479\n",
      "[28]\tvalid_0's l2: 11.9217\n",
      "[29]\tvalid_0's l2: 11.7995\n",
      "[30]\tvalid_0's l2: 11.6403\n",
      "[31]\tvalid_0's l2: 11.5802\n",
      "[32]\tvalid_0's l2: 11.5021\n",
      "[33]\tvalid_0's l2: 11.3699\n",
      "[34]\tvalid_0's l2: 11.1036\n",
      "[35]\tvalid_0's l2: 11.0457\n",
      "[36]\tvalid_0's l2: 11.0304\n",
      "[37]\tvalid_0's l2: 11.0101\n",
      "[38]\tvalid_0's l2: 11.0023\n",
      "[39]\tvalid_0's l2: 10.9195\n",
      "[40]\tvalid_0's l2: 10.8115\n",
      "[41]\tvalid_0's l2: 10.8585\n",
      "[42]\tvalid_0's l2: 10.8965\n",
      "[43]\tvalid_0's l2: 10.8312\n",
      "[44]\tvalid_0's l2: 10.8369\n",
      "[45]\tvalid_0's l2: 10.763\n",
      "[46]\tvalid_0's l2: 10.7536\n",
      "[47]\tvalid_0's l2: 10.7406\n",
      "[48]\tvalid_0's l2: 10.6956\n",
      "[49]\tvalid_0's l2: 10.5035\n",
      "[50]\tvalid_0's l2: 10.5102\n",
      "[51]\tvalid_0's l2: 10.5344\n",
      "[52]\tvalid_0's l2: 10.5758\n",
      "[53]\tvalid_0's l2: 10.5866\n",
      "[54]\tvalid_0's l2: 10.5732\n",
      "[55]\tvalid_0's l2: 10.569\n",
      "[56]\tvalid_0's l2: 10.3973\n",
      "[57]\tvalid_0's l2: 10.4189\n",
      "[58]\tvalid_0's l2: 10.4536\n",
      "[59]\tvalid_0's l2: 10.4161\n",
      "[60]\tvalid_0's l2: 10.4248\n",
      "[61]\tvalid_0's l2: 10.2688\n",
      "[62]\tvalid_0's l2: 10.2895\n",
      "[63]\tvalid_0's l2: 10.3263\n",
      "[64]\tvalid_0's l2: 10.3473\n",
      "[65]\tvalid_0's l2: 10.3623\n",
      "[66]\tvalid_0's l2: 10.3765\n",
      "[67]\tvalid_0's l2: 10.4335\n",
      "[68]\tvalid_0's l2: 10.4766\n",
      "[69]\tvalid_0's l2: 10.3303\n",
      "[70]\tvalid_0's l2: 10.3769\n",
      "[71]\tvalid_0's l2: 10.4407\n",
      "[72]\tvalid_0's l2: 10.4518\n",
      "[73]\tvalid_0's l2: 10.4702\n",
      "[74]\tvalid_0's l2: 10.4905\n",
      "[75]\tvalid_0's l2: 10.5086\n",
      "[76]\tvalid_0's l2: 10.4157\n",
      "[77]\tvalid_0's l2: 10.2995\n",
      "[78]\tvalid_0's l2: 10.3002\n",
      "[79]\tvalid_0's l2: 10.3369\n",
      "[80]\tvalid_0's l2: 10.2522\n",
      "[81]\tvalid_0's l2: 10.2764\n",
      "[82]\tvalid_0's l2: 10.1763\n",
      "[83]\tvalid_0's l2: 10.2299\n",
      "[84]\tvalid_0's l2: 10.2832\n",
      "[85]\tvalid_0's l2: 10.3231\n",
      "[86]\tvalid_0's l2: 10.2929\n",
      "[87]\tvalid_0's l2: 10.3603\n",
      "[88]\tvalid_0's l2: 10.3271\n",
      "[89]\tvalid_0's l2: 10.3218\n",
      "[90]\tvalid_0's l2: 10.3\n",
      "[91]\tvalid_0's l2: 10.3162\n",
      "[92]\tvalid_0's l2: 10.2872\n",
      "[93]\tvalid_0's l2: 10.218\n",
      "[94]\tvalid_0's l2: 10.1085\n",
      "[95]\tvalid_0's l2: 10.1272\n",
      "[96]\tvalid_0's l2: 10.1407\n",
      "[97]\tvalid_0's l2: 10.1598\n",
      "[98]\tvalid_0's l2: 10.1343\n",
      "[99]\tvalid_0's l2: 10.1293\n",
      "[100]\tvalid_0's l2: 10.1221\n"
     ]
    }
   ],
   "source": [
    "evals_result = {}  # to record eval results for plotting\n",
    "\n",
    "trn_dataset = gbm.Dataset(trn_x,trn_y)\n",
    "val_dataset = gbm.Dataset(val_x,val_y)\n",
    "\n",
    "parameters = {\n",
    "    \"objective\": \"regression\",\n",
    "}\n",
    "\n",
    "reg = gbm.train(parameters,trn_dataset,valid_sets=val_dataset, feature_name=[fn for fn in boston.columns.values],\n",
    "               evals_result=evals_result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd30787fdd0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plotting.plot_importance(reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd3054a33d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plotting.plot_metric(evals_result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd3053c2850>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plotting.plot_tree(reg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PR demo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd3053668d0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2500x2500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plot_importance(reg, dpi=250, figsize=(10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd3042213d0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2500x2500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plotting.plot_metric(evals_result, dpi=250, figsize=(10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd30403cfd0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 5000x5000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbm.plotting.plot_tree(reg,dpi=500, figsize=(10,10))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}