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fastbook/clean/09_tabular.ipynb
Sylvain Gugger cf691f303b Treat TK
2020-04-23 07:48:40 -07:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"hide_input": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning: Your Kaggle API key is readable by other users on this system! To fix this, you can run 'chmod 600 /home/sgugger/.kaggle/kaggle.json'\n"
]
}
],
"source": [
"#hide\n",
"from utils import *\n",
"from kaggle import api\n",
"from pandas.api.types import is_string_dtype, is_numeric_dtype, is_categorical_dtype\n",
"from fastai2.tabular.all import *\n",
"from sklearn.ensemble import RandomForestRegressor\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"from dtreeviz.trees import *\n",
"from IPython.display import Image, display_svg, SVG\n",
"\n",
"pd.options.display.max_rows = 20\n",
"pd.options.display.max_columns = 8"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Tabular modelling deep dive"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Categorical embeddings"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Beyond deep learning"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The dataset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Kaggle Competitions"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"creds = ''"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cred_path = Path('~/.kaggle/kaggle.json').expanduser()\n",
"if not cred_path.exists():\n",
" cred_path.parent.mkdir(exist_ok=True)\n",
" cred_path.write(creds)\n",
" cred_path.chmod(0o600)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Path('/home/sgugger/.fastai/archive/bluebook')"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"path = URLs.path('bluebook')\n",
"path"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#hide\n",
"Path.BASE_PATH = path"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(#7) [Path('Valid.csv'),Path('Machine_Appendix.csv'),Path('ValidSolution.csv'),Path('TrainAndValid.csv'),Path('random_forest_benchmark_test.csv'),Path('Test.csv'),Path('median_benchmark.csv')]"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"if not path.exists():\n",
" path.mkdir()\n",
" api.competition_download_cli('bluebook-for-bulldozers', path=path)\n",
" file_extract(path/'bluebook-for-bulldozers.zip')\n",
"\n",
"path.ls(file_type='text')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Look at the data"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(path/'TrainAndValid.csv', low_memory=False)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['SalesID', 'SalePrice', 'MachineID', 'ModelID', 'datasource',\n",
" 'auctioneerID', 'YearMade', 'MachineHoursCurrentMeter', 'UsageBand',\n",
" 'saledate', 'fiModelDesc', 'fiBaseModel', 'fiSecondaryDesc',\n",
" 'fiModelSeries', 'fiModelDescriptor', 'ProductSize',\n",
" 'fiProductClassDesc', 'state', 'ProductGroup', 'ProductGroupDesc',\n",
" 'Drive_System', 'Enclosure', 'Forks', 'Pad_Type', 'Ride_Control',\n",
" 'Stick', 'Transmission', 'Turbocharged', 'Blade_Extension',\n",
" 'Blade_Width', 'Enclosure_Type', 'Engine_Horsepower', 'Hydraulics',\n",
" 'Pushblock', 'Ripper', 'Scarifier', 'Tip_Control', 'Tire_Size',\n",
" 'Coupler', 'Coupler_System', 'Grouser_Tracks', 'Hydraulics_Flow',\n",
" 'Track_Type', 'Undercarriage_Pad_Width', 'Stick_Length', 'Thumb',\n",
" 'Pattern_Changer', 'Grouser_Type', 'Backhoe_Mounting', 'Blade_Type',\n",
" 'Travel_Controls', 'Differential_Type', 'Steering_Controls'],\n",
" dtype='object')"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.columns"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([nan, 'Medium', 'Small', 'Large / Medium', 'Mini', 'Large', 'Compact'], dtype=object)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['ProductSize'].unique()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sizes = 'Large','Large / Medium','Medium','Small','Mini','Compact'"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df['ProductSize'] = df['ProductSize'].astype('category')\n",
"df['ProductSize'].cat.set_categories(sizes, ordered=True, inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"dep_var = 'SalePrice'"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df[dep_var] = np.log(df[dep_var])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Decision trees"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Handling dates"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df = add_datepart(df, 'saledate')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df_test = pd.read_csv(path/'Test.csv', low_memory=False)\n",
"df_test = add_datepart(df_test, 'saledate')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'saleYear saleMonth saleWeek saleDay saleDayofweek saleDayofyear saleIs_month_end saleIs_month_start saleIs_quarter_end saleIs_quarter_start saleIs_year_end saleIs_year_start saleElapsed'"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"' '.join(o for o in df.columns if o.startswith('sale'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using TabularPandas and TabularProc"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"procs = [Categorify, FillMissing]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cond = (df.saleYear<2011) | (df.saleMonth<10)\n",
"train_idx = np.where( cond)[0]\n",
"valid_idx = np.where(~cond)[0]\n",
"\n",
"splits = (list(train_idx),list(valid_idx))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cont,cat = cont_cat_split(df, 1, dep_var=dep_var)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"to = TabularPandas(df, procs, cat, cont, y_names=dep_var, splits=splits)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(404710, 7988)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(to.train),len(to.valid)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>UsageBand</th>\n",
" <th>fiModelDesc</th>\n",
" <th>fiBaseModel</th>\n",
" <th>fiSecondaryDesc</th>\n",
" <th>fiModelSeries</th>\n",
" <th>fiModelDescriptor</th>\n",
" <th>ProductSize</th>\n",
" <th>fiProductClassDesc</th>\n",
" <th>state</th>\n",
" <th>ProductGroup</th>\n",
" <th>ProductGroupDesc</th>\n",
" <th>Drive_System</th>\n",
" <th>Enclosure</th>\n",
" <th>Forks</th>\n",
" <th>Pad_Type</th>\n",
" <th>Ride_Control</th>\n",
" <th>Stick</th>\n",
" <th>Transmission</th>\n",
" <th>Turbocharged</th>\n",
" <th>Blade_Extension</th>\n",
" <th>Blade_Width</th>\n",
" <th>Enclosure_Type</th>\n",
" <th>Engine_Horsepower</th>\n",
" <th>Hydraulics</th>\n",
" <th>Pushblock</th>\n",
" <th>Ripper</th>\n",
" <th>Scarifier</th>\n",
" <th>Tip_Control</th>\n",
" <th>Tire_Size</th>\n",
" <th>Coupler</th>\n",
" <th>Coupler_System</th>\n",
" <th>Grouser_Tracks</th>\n",
" <th>Hydraulics_Flow</th>\n",
" <th>Track_Type</th>\n",
" <th>Undercarriage_Pad_Width</th>\n",
" <th>Stick_Length</th>\n",
" <th>Thumb</th>\n",
" <th>Pattern_Changer</th>\n",
" <th>Grouser_Type</th>\n",
" <th>Backhoe_Mounting</th>\n",
" <th>Blade_Type</th>\n",
" <th>Travel_Controls</th>\n",
" <th>Differential_Type</th>\n",
" <th>Steering_Controls</th>\n",
" <th>saleIs_month_end</th>\n",
" <th>saleIs_month_start</th>\n",
" <th>saleIs_quarter_end</th>\n",
" <th>saleIs_quarter_start</th>\n",
" <th>saleIs_year_end</th>\n",
" <th>saleIs_year_start</th>\n",
" <th>auctioneerID_na</th>\n",
" <th>MachineHoursCurrentMeter_na</th>\n",
" <th>SalesID</th>\n",
" <th>MachineID</th>\n",
" <th>ModelID</th>\n",
" <th>datasource</th>\n",
" <th>auctioneerID</th>\n",
" <th>YearMade</th>\n",
" <th>MachineHoursCurrentMeter</th>\n",
" <th>saleYear</th>\n",
" <th>saleMonth</th>\n",
" <th>saleWeek</th>\n",
" <th>saleDay</th>\n",
" <th>saleDayofweek</th>\n",
" <th>saleDayofyear</th>\n",
" <th>saleElapsed</th>\n",
" <th>SalePrice</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Low</td>\n",
" <td>521D</td>\n",
" <td>521</td>\n",
" <td>D</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>Wheel Loader - 110.0 to 120.0 Horsepower</td>\n",
" <td>Alabama</td>\n",
" <td>WL</td>\n",
" <td>Wheel Loader</td>\n",
" <td>#na#</td>\n",
" <td>EROPS w AC</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>2 Valve</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>None or Unspecified</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>Standard</td>\n",
" <td>Conventional</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1139246.0</td>\n",
" <td>999089.0</td>\n",
" <td>3157.0</td>\n",
" <td>121.0</td>\n",
" <td>3.0</td>\n",
" <td>2004.0</td>\n",
" <td>68.0</td>\n",
" <td>2006.0</td>\n",
" <td>11.0</td>\n",
" <td>46.0</td>\n",
" <td>16.0</td>\n",
" <td>3.0</td>\n",
" <td>320.0</td>\n",
" <td>1.163635e+09</td>\n",
" <td>11.097410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Low</td>\n",
" <td>950FII</td>\n",
" <td>950</td>\n",
" <td>F</td>\n",
" <td>II</td>\n",
" <td>#na#</td>\n",
" <td>Medium</td>\n",
" <td>Wheel Loader - 150.0 to 175.0 Horsepower</td>\n",
" <td>North Carolina</td>\n",
" <td>WL</td>\n",
" <td>Wheel Loader</td>\n",
" <td>#na#</td>\n",
" <td>EROPS w AC</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>2 Valve</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>23.5</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>Standard</td>\n",
" <td>Conventional</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1139248.0</td>\n",
" <td>117657.0</td>\n",
" <td>77.0</td>\n",
" <td>121.0</td>\n",
" <td>3.0</td>\n",
" <td>1996.0</td>\n",
" <td>4640.0</td>\n",
" <td>2004.0</td>\n",
" <td>3.0</td>\n",
" <td>13.0</td>\n",
" <td>26.0</td>\n",
" <td>4.0</td>\n",
" <td>86.0</td>\n",
" <td>1.080259e+09</td>\n",
" <td>10.950807</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>High</td>\n",
" <td>226</td>\n",
" <td>226</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>Skid Steer Loader - 1351.0 to 1601.0 Lb Operating Capacity</td>\n",
" <td>New York</td>\n",
" <td>SSL</td>\n",
" <td>Skid Steer Loaders</td>\n",
" <td>#na#</td>\n",
" <td>OROPS</td>\n",
" <td>None or Unspecified</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>Auxiliary</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>None or Unspecified</td>\n",
" <td>None or Unspecified</td>\n",
" <td>None or Unspecified</td>\n",
" <td>Standard</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>#na#</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1139249.0</td>\n",
" <td>434808.0</td>\n",
" <td>7009.0</td>\n",
" <td>121.0</td>\n",
" <td>3.0</td>\n",
" <td>2001.0</td>\n",
" <td>2838.0</td>\n",
" <td>2004.0</td>\n",
" <td>2.0</td>\n",
" <td>9.0</td>\n",
" <td>26.0</td>\n",
" <td>3.0</td>\n",
" <td>57.0</td>\n",
" <td>1.077754e+09</td>\n",
" <td>9.210340</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"to.show(3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>state</th>\n",
" <th>ProductGroup</th>\n",
" <th>Drive_System</th>\n",
" <th>Enclosure</th>\n",
" <th>SalePrice</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Alabama</td>\n",
" <td>WL</td>\n",
" <td>#na#</td>\n",
" <td>EROPS w AC</td>\n",
" <td>11.097410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>North Carolina</td>\n",
" <td>WL</td>\n",
" <td>#na#</td>\n",
" <td>EROPS w AC</td>\n",
" <td>10.950807</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>New York</td>\n",
" <td>SSL</td>\n",
" <td>#na#</td>\n",
" <td>OROPS</td>\n",
" <td>9.210340</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"to1 = TabularPandas(df, procs, ['state', 'ProductGroup', 'Drive_System', 'Enclosure'], [], y_names=dep_var, splits=splits)\n",
"to1.show(3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" <th>ModelID</th>\n",
" <th>...</th>\n",
" <th>saleDay_na</th>\n",
" <th>saleDayofweek_na</th>\n",
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" SalesID SalePrice MachineID ModelID ... saleDay_na saleDayofweek_na \\\n",
"0 1139246 11.097410 999089 3157 ... 1 1 \n",
"1 1139248 10.950807 117657 77 ... 1 1 \n",
"2 1139249 9.210340 434808 7009 ... 1 1 \n",
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"[3 rows x 79 columns]"
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},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"to.items.head(3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
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"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(#7) ['#na#','Large','Large / Medium','Medium','Small','Mini','Compact']"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"to.classes['ProductSize']"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"(path/'to.pkl').save(to)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Creating the decision tree"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"to = (path/'to.pkl').load()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs,y = to.train.xs,to.train.y\n",
"valid_xs,valid_y = to.valid.xs,to.valid.y"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"m = DecisionTreeRegressor(max_leaf_nodes=4)\n",
"m.fit(xs, y);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
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"\n",
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"text/plain": [
"<dtreeviz.trees.DTreeViz at 0x7f7b15b5c290>"
]
},
"execution_count": null,
"metadata": {},
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}
],
"source": [
"samp_idx = np.random.permutation(len(y))[:500]\n",
"dtreeviz(m, xs.iloc[samp_idx], y.iloc[samp_idx], xs.columns, dep_var,\n",
" fontname='DejaVu Sans', scale=1.6, label_fontsize=10,\n",
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]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs.loc[xs['YearMade']<1900, 'YearMade'] = 1950\n",
"valid_xs.loc[valid_xs['YearMade']<1900, 'YearMade'] = 1950"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
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},
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"metadata": {},
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],
"source": [
"m = DecisionTreeRegressor(max_leaf_nodes=4).fit(xs, y)\n",
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"dtreeviz(m, xs.iloc[samp_idx], y.iloc[samp_idx], xs.columns, dep_var,\n",
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{
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"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"m = DecisionTreeRegressor()\n",
"m.fit(xs, y);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def r_mse(pred,y): return round(math.sqrt(((pred-y)**2).mean()), 6)\n",
"def m_rmse(m, xs, y): return r_mse(m.predict(xs), y)"
]
},
{
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{
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{
"data": {
"text/plain": [
"0.337727"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m_rmse(m, valid_xs, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(340909, 404710)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m.get_n_leaves(), len(xs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.248562, 0.32368)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = DecisionTreeRegressor(min_samples_leaf=25)\n",
"m.fit(to.train.xs, to.train.y)\n",
"m_rmse(m, xs, y), m_rmse(m, valid_xs, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12397"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m.get_n_leaves()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Categorical variables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random forests"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#hide\n",
"# pip install --pre -f https://sklearn-nightly.scdn8.secure.raxcdn.com scikit-learn --U"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Creating a random forest"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def rf(xs, y, n_estimators=40, max_samples=200_000,\n",
" max_features=0.5, min_samples_leaf=5, **kwargs):\n",
" return RandomForestRegressor(n_jobs=-1, n_estimators=n_estimators,\n",
" max_samples=max_samples, max_features=max_features,\n",
" min_samples_leaf=min_samples_leaf, oob_score=True).fit(xs, y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"m = rf(xs, y);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.170896, 0.233502)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m_rmse(m, xs, y), m_rmse(m, valid_xs, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"preds = np.stack([t.predict(valid_xs) for t in m.estimators_])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.233502"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r_mse(preds.mean(0), valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"plt.plot([r_mse(preds[:i+1].mean(0), valid_y) for i in range(40)]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Out-of-bag error"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.210686"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r_mse(m.oob_prediction_, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model interpretation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Tree variance for prediction confidence"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"preds = np.stack([t.predict(valid_xs) for t in m.estimators_])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(40, 7988)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"preds.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"preds_std = preds.std(0)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.21529149, 0.10351274, 0.08901878, 0.28374773, 0.11977206])"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"preds_std[:5]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Feature importance"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def rf_feat_importance(m, df):\n",
" return pd.DataFrame({'cols':df.columns, 'imp':m.feature_importances_}\n",
" ).sort_values('imp', ascending=False)"
]
},
{
"cell_type": "code",
"execution_count": null,
"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>cols</th>\n",
" <th>imp</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>69</th>\n",
" <td>YearMade</td>\n",
" <td>0.182890</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>ProductSize</td>\n",
" <td>0.127268</td>\n",
" </tr>\n",
" <tr>\n",
" <th>30</th>\n",
" <td>Coupler_System</td>\n",
" <td>0.117698</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>fiProductClassDesc</td>\n",
" <td>0.069939</td>\n",
" </tr>\n",
" <tr>\n",
" <th>66</th>\n",
" <td>ModelID</td>\n",
" <td>0.057263</td>\n",
" </tr>\n",
" <tr>\n",
" <th>77</th>\n",
" <td>saleElapsed</td>\n",
" <td>0.050113</td>\n",
" </tr>\n",
" <tr>\n",
" <th>32</th>\n",
" <td>Hydraulics_Flow</td>\n",
" <td>0.047091</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>fiSecondaryDesc</td>\n",
" <td>0.041225</td>\n",
" </tr>\n",
" <tr>\n",
" <th>31</th>\n",
" <td>Grouser_Tracks</td>\n",
" <td>0.031988</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>fiModelDesc</td>\n",
" <td>0.031838</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" cols imp\n",
"69 YearMade 0.182890\n",
"6 ProductSize 0.127268\n",
"30 Coupler_System 0.117698\n",
"7 fiProductClassDesc 0.069939\n",
"66 ModelID 0.057263\n",
"77 saleElapsed 0.050113\n",
"32 Hydraulics_Flow 0.047091\n",
"3 fiSecondaryDesc 0.041225\n",
"31 Grouser_Tracks 0.031988\n",
"1 fiModelDesc 0.031838"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fi = rf_feat_importance(m, xs)\n",
"fi[:10]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_fi(fi):\n",
" return fi.plot('cols', 'imp', 'barh', figsize=(12,7), legend=False)\n",
"\n",
"plot_fi(fi[:30]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Removing low-importance variables"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"21"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"to_keep = fi[fi.imp>0.005].cols\n",
"len(to_keep)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs_imp = xs[to_keep]\n",
"valid_xs_imp = valid_xs[to_keep]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"m = rf(xs_imp, y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.181208, 0.232323)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m_rmse(m, xs_imp, y), m_rmse(m, valid_xs_imp, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(78, 21)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(xs.columns), len(xs_imp.columns)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_fi(rf_feat_importance(m, xs_imp));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Removing redundant features"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"cluster_columns(xs_imp)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def get_oob(df):\n",
" m = RandomForestRegressor(n_estimators=40, min_samples_leaf=15,\n",
" max_samples=50000, max_features=0.5, n_jobs=-1, oob_score=True)\n",
" m.fit(df, y)\n",
" return m.oob_score_"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8771039618198545"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"get_oob(xs_imp)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'saleYear': 0.8759666979317242,\n",
" 'saleElapsed': 0.8728423449081594,\n",
" 'ProductGroupDesc': 0.877877012281002,\n",
" 'ProductGroup': 0.8772503407182847,\n",
" 'fiModelDesc': 0.8756415073829513,\n",
" 'fiBaseModel': 0.8765165299438019,\n",
" 'Hydraulics_Flow': 0.8778545895742573,\n",
" 'Grouser_Tracks': 0.8773718142788077,\n",
" 'Coupler_System': 0.8778016988955392}"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"{c:get_oob(xs_imp.drop(c, axis=1)) for c in (\n",
" 'saleYear', 'saleElapsed', 'ProductGroupDesc','ProductGroup',\n",
" 'fiModelDesc', 'fiBaseModel',\n",
" 'Hydraulics_Flow','Grouser_Tracks', 'Coupler_System')}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8739605718147015"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"to_drop = ['saleYear', 'ProductGroupDesc', 'fiBaseModel', 'Grouser_Tracks']\n",
"get_oob(xs_imp.drop(to_drop, axis=1))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs_final = xs_imp.drop(to_drop, axis=1)\n",
"valid_xs_final = valid_xs_imp.drop(to_drop, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"(path/'xs_final.pkl').save(xs_final)\n",
"(path/'valid_xs_final.pkl').save(valid_xs_final)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs_final = (path/'xs_final.pkl').load()\n",
"valid_xs_final = (path/'valid_xs_final.pkl').load()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.183263, 0.233846)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = rf(xs_final, y)\n",
"m_rmse(m, xs_final, y), m_rmse(m, valid_xs_final, valid_y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Partial dependence"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EXpjkuf1FL/smOaW9oGdckmOA5VV103SFV1X1+/np/nnbtgX4FPAHSQ5IsleSY5OMnxL+IPBfkxyRZBVwzhS7+hLd55lHJVkJ/PfpapMkjZ6ZBuOVdCE4/lgPbAAeDdwFXMPUvzYx7lXA04C76S6yuZRuxkZVbQZeBPwGcCfdbO5Nk9T4AmZ2GpV+7Bur6sZJmk8DHgV8le5XOT5MN8MEeDfwf4EvA9cBH51iH5/uX8/1wLXAJ2ZanyRpdGRgErW4O08uBW6qqilnmxNsdyXwjqqacTjuKZYfdlwddvqGBRnbu2tI2lMlubaq1s2k76L+SbgkJ/enKvdK8jy6GeJlsxjqKia/KEeSpFlb7PsxHkp3OvIg4Fbg9VX1xd0dpKreNt+FLRUnrFnJmDM7SVowixqMVXU53e8VSpI0kry7hiRJDYNRkqSGwShJUsNglCSpYTBKktQwGCVJahiMkiQ1DEZJkhoGoyRJDYNRkqSGwShJUsNglCSpYTBKktRY7NtOaY5uuG0ba8+5YthlTMgbHUvaEzhjlCSpYTBKktQwGCVJahiMkiQ1DMYBSW5J8uxh1yFJGg6DcZ6l43GVpCXKN/AZSLIqySeS3Jnk3v75EU37VUnOT3I1sBN4XJJjknwuyfYkn0nyziQbm22emuQLSbYm+XKSU4bw0iRJAwzGmdkLuBA4GjgKeAB4x0Cf1wBnAvsDm4BLgL8HDgLW9+0AJFkDXAGcB6wGzgY+kuSQiXae5MwkY0nGdu3cNn+vSpL0fQzGGaiqu6vqI1W1s6q2A+cDzxrodlFV3VhVDwOHAScDb66qb1fV54GPN31fDVxZVVdW1Xer6tPAGHDqJPu/oKrWVdW6ZStWzvvrkyT9O4NxBpKsSPInSTYluQ/4HHBgkmVNt83N88OBe6pq5yTtRwMv7U+jbk2yFXg6XaBKkobIPwk3M2cBTwSeUlXfTHIS8EUgTZ9qnm8BVidZ0YTjkU37ZuDiqnrdQhYtSdp9zhgntk+SfccfwCq6zxW3JlkNvGWqjatqE92p0fVJHpXkacALmy4bgRcmeW6SZf1+Tmkv6JEkDYfBOLEr6YJw/HEg8GjgLuAa4C9nMMargKcBd9NdZHMp8BBAVW0GXgT8BnAn3QzyTfj1kKSh81TqgKpaO8Ouf9Jsc8oE49wMPGN8OcmlwE1N+9/x/RfwSJKGzBnKAklycpJjk+yV5Hl0M8TLhl2XJGlqzhgXzqHAR+l+j/FW4PVV9cW5DnrCmpWMed9DSVowBuMCqarLgcuHXYckafd4KlWSpIbBKElSw2CUJKlhMEqS1DAYJUlqGIySJDUMRkmSGgajJEkNg1GSpIbBKElSw2CUJKlhMEqS1DAYJUlqGIySJDW87dQSc8Nt21h7zhXDLkOSFtUti3gfWmeMkiQ1DEZJkhoGoyRJDYNxCkn+PslxSR6X5LoFGP+DSZ6TZHmSb873+JKk3WcwTiLJPsDRwL8ATwbmPRibcX8Y+MoCjC9J2k0G4+R+CPhqVRWwjiYYk9yS5Owk1yfZluTSJPv2bauSfCLJnUnu7Z8fMTh4klVAquruwfElScNjMA5I8vNJtgJXA0/rn58F/F6SrUmO6bu+DHgecAzdjO+Mfv1ewIV0s82jgAeAdzTj/0Q/5mbgiP75HwG/0o//rAlqOjPJWJKxXTu3zf+LliT9G4NxQFVdWFUHAtcCT+XfT3MeUFUHVtXX+67/u6pur6p7gMuBk/rt766qj1TVzqraDpwPPKsZ///1418GvBRYA9wCHNKP/9cT1HRBVa2rqnXLVqxcqJcuScJf8P8eSVYD/woE2A+4CljeN9+bZH1VbeiX24tldgKH92OsAN5ON5tc1bfvn2RZVe1Kcms/9v7ATwH70H0dbk/yZ1X1xoV6fZKk6TljbFTVPf1s7r8Af9o//0vghf1sbsPUIwDdadcnAk+pqgOAZ/br0+/jCLrQ/Ew//gXAr/TjG4qSNGQG48Taq1B/hO606kztT/e54tZ+BvqWacb/UWBslnVKkuaZwTixJwPXJTkI2FVV9+7GthuARwN3AdfQzTgnGz/Ak4Ab51ivJGme+BnjBKrqx5vFYydoXzuwvL55fjtwysAmfzLQ/xeaxcfOskxJ0gJwxihJUsMZ4xJzwpqVjC3i7Vck6ZHGGaMkSQ2DUZKkhsEoSVLDYJQkqWEwSpLUMBglSWoYjJIkNdLdh1dLRZLtwD8Nu45pHEz3J/FG1ajXB6Nf46jXB6Nf46jXB3tWjUdX1SEzGdBf8F96/qmq1g27iKkkGRvlGke9Phj9Gke9Phj9Gke9Pnjk1uipVEmSGgajJEkNg3HpuWDYBczAqNc46vXB6Nc46vXB6Nc46vXBI7RGL76RJKnhjFGSpIbBKElSw2CUJKlhMC4RSVYn+ViSHUk2JXnlEGq4KsmDSe7vH//UtL2yr2tHksuSrF7o2pO8IclYkoeSXDTQ9hNJbkqyM8lnkxzdtC1P8mdJ7kvyzSRvnOm281VjkrVJqjmW9yf5rcWusd/Pe/qvy/YkX0zy/JnsZxRqHKHjuDHJln4/X0vy2pnsY5G/FyescVSOYTPeceneZzY262b9/jLVtpOqKh9L4AG8H7gU2A94OrANOH6Ra7gKeO0E648HtgPP7Ou7BPjAQtcO/CzwYuD/ABc16w/u9/FSYF/gfwHXNO1vBf4GWAX8IPBN4Hkz2XYea1wLFLD3JNstSo3AY4D1fT17AT/Vfy3XjspxnKbGUTmOxwPL++dP6vfz5FE5htPUOBLHsNnfp/r9bWzqntX7y3TbTlrDXF6Aj8V59G8M3wae0Ky7GPjdRa7jKiYOxt8BLmmWj+3r3X8xagfO43tD50zgCwPH7wHgSf3ybcBPNu2/Pf7DMt2281jjdG9Gi15jM971wEtG8ThOUOPIHUfgicAW4GWjegwHahyZYwj8HPBBuv8IjQfjrN9fptp2qjo8lbo0PAHYVVVfa9Z9me5/Q4vtrUnuSnJ1klP6dcf39QBQVTfTf7MynNoH69kB3Awcn2QVcHjbPlDPpNsuUK2bktya5MIkBwMMs8Ykj6X7mt041X5GqMZxQz+OSf44yU7gJrrQuXKqfQzjGE5S47ihHsMkBwDnAmcNNM3l/WWqbSdlMC4N+9GdHmhto/sf02L6deBxwBq6X6q9PMmxTF3fMGqfrh4G2tt6Fqveu4CTgaPpTmftD/x5U8Oi15hkn76G91bVTdPsZ1RqHJnjWFW/3G/7DOCjwEPT7GPRj+EkNY7KMfxt4D1VtXlg/VzeX2ZVn8G4NNwPHDCw7gC6c+eLpqr+rqq2V9VDVfVe4Grg1GnqG0bt09XDQHtbz6LUW1X3V9VYVT1cVXcAbwB+sv9f86LXmGQvulNQ3+5rmW4/I1HjqB3HqtpVVZ8HjgBeP80+hvK9OFjjKBzDJCcBzwbePkHzXN5fZlWfwbg0fA3YO8lxzboT+d5TScNQQPo6ThxfmeRxwHK6uodR+2A9j6H7bOHGqrqX7hTSiU3/tp5Jt13AeqE7ltD9NapFrTFJgPcAjwVeUlXfmW4/I1TjoKEdxwF7N2ONxDGcosZBwziGp9B91vmNJN8EzgZekuS6CfaxO+8vU207ubl+iOtjcR7AB+iuvnoM8J9Y5KtSgQOB59JdebY38CpgB92H+McD99GdnnkMsJHvvWpsQWrv69iX7qq5i5vaDun38ZJ+3e/xvVcC/i7w13RX2T2J7gd//Cq7Kbedxxqf0h+7vYCD6K6q++yQanwXcA2w38D6UTqOk9U49OMI/ADdRSP7Acv6n5MdwItG5RhOU+MoHMMVwKHN4/eBD/fjz/r9ZbptJ61ntt+oPhb3AawGLuu/mb8BvHKR938I8A90pyC29m9Sz2naX9nXtQP4C2D1QtdOd+VaDTzW923PprvA4AG6q2nXNtstB/6s/4G5A3jjwLiTbjtfNQKvAL7eH5MtwPuAQxe7RrrPlQp4kO600/jjVaNyHKeqcRSOI93Pxl/T/VzcB9wAvG4m+1jEYzhpjaNwDCf5udnYLM/6/WWqbSd7+EfEJUlq+BmjJEkNg1GSpIbBKElSw2CUJKlhMEqS1DAYJUlqGIySJDUMRkmSGv8fgG3NpoQZaYMAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"p = valid_xs_final['ProductSize'].value_counts(sort=False).plot.barh()\n",
"c = to.classes['ProductSize']\n",
"plt.yticks(range(len(c)), c);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"ax = valid_xs_final['YearMade'].hist()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sklearn.inspection import plot_partial_dependence\n",
"\n",
"fig,ax = plt.subplots(figsize=(12, 4))\n",
"plot_partial_dependence(m, valid_xs_final, ['YearMade','ProductSize'],\n",
" grid_resolution=20, ax=ax);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data leakage"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Tree interpreter"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#hide\n",
"import warnings\n",
"warnings.simplefilter('ignore', FutureWarning)\n",
"\n",
"from treeinterpreter import treeinterpreter\n",
"from waterfall_chart import plot as waterfall"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"row = valid_xs_final.iloc[:5]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"prediction,bias,contributions = treeinterpreter.predict(m, row.values)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([9.98234598]), 10.104309759725059, -0.12196378442186026)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prediction[0], bias[0], contributions[0].sum()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"waterfall(valid_xs_final.columns, contributions[0], threshold=0.08, \n",
" rotation_value=45,formatting='{:,.3f}');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extrapolation and neural networks"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The extrapolation problem"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#hide\n",
"np.random.seed(42)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"x_lin = torch.linspace(0,20, steps=40)\n",
"y_lin = x_lin + torch.randn_like(x_lin)\n",
"plt.scatter(x_lin, y_lin);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(torch.Size([40]), torch.Size([40, 1]))"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xs_lin = x_lin.unsqueeze(1)\n",
"x_lin.shape,xs_lin.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([40, 1])"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_lin[:,None].shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"m_lin = RandomForestRegressor().fit(xs_lin[:30],y_lin[:30])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"plt.scatter(x_lin, y_lin, 20)\n",
"plt.scatter(x_lin, m_lin.predict(xs_lin), color='red', alpha=0.5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Finding out of domain data"
]
},
{
"cell_type": "code",
"execution_count": null,
"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>cols</th>\n",
" <th>imp</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>saleElapsed</td>\n",
" <td>0.859446</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>SalesID</td>\n",
" <td>0.119325</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>MachineID</td>\n",
" <td>0.014259</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>YearMade</td>\n",
" <td>0.001793</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>fiModelDesc</td>\n",
" <td>0.001740</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>Enclosure</td>\n",
" <td>0.000657</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" cols imp\n",
"5 saleElapsed 0.859446\n",
"9 SalesID 0.119325\n",
"13 MachineID 0.014259\n",
"0 YearMade 0.001793\n",
"8 fiModelDesc 0.001740\n",
"11 Enclosure 0.000657"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_dom = pd.concat([xs_final, valid_xs_final])\n",
"is_valid = np.array([0]*len(xs_final) + [1]*len(valid_xs_final))\n",
"\n",
"m = rf(df_dom, is_valid)\n",
"rf_feat_importance(m, df_dom)[:6]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"orig 0.232795\n",
"SalesID 0.23109\n",
"saleElapsed 0.236221\n",
"MachineID 0.233492\n"
]
}
],
"source": [
"m = rf(xs_final, y)\n",
"print('orig', m_rmse(m, valid_xs_final, valid_y))\n",
"\n",
"for c in ('SalesID','saleElapsed','MachineID'):\n",
" m = rf(xs_final.drop(c,axis=1), y)\n",
" print(c, m_rmse(m, valid_xs_final.drop(c,axis=1), valid_y))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.231307"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"time_vars = ['SalesID','MachineID']\n",
"xs_final_time = xs_final.drop(time_vars, axis=1)\n",
"valid_xs_time = valid_xs_final.drop(time_vars, axis=1)\n",
"\n",
"m = rf(xs_final_time, y)\n",
"m_rmse(m, valid_xs_time, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"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": [
"xs['saleYear'].hist();"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"filt = xs['saleYear']>2004\n",
"xs_filt = xs_final_time[filt]\n",
"y_filt = y[filt]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.17768, 0.230631)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = rf(xs_filt, y_filt)\n",
"m_rmse(m, xs_filt, y_filt), m_rmse(m, valid_xs_time, valid_y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using a neural network"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df_nn = pd.read_csv(path/'TrainAndValid.csv', low_memory=False)\n",
"df_nn['ProductSize'] = df_nn['ProductSize'].astype('category')\n",
"df_nn['ProductSize'].cat.set_categories(sizes, ordered=True, inplace=True)\n",
"df_nn[dep_var] = np.log(df_nn[dep_var])\n",
"df_nn = add_datepart(df_nn, 'saledate')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df_nn_final = df_nn[list(xs_final_time.columns) + [dep_var]]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cont_nn,cat_nn = cont_cat_split(df_nn_final, max_card=9000, dep_var=dep_var)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cont_nn.append('saleElapsed')\n",
"cat_nn.remove('saleElapsed')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"YearMade 73\n",
"ProductSize 6\n",
"Coupler_System 2\n",
"fiProductClassDesc 74\n",
"ModelID 5281\n",
"Hydraulics_Flow 3\n",
"fiSecondaryDesc 177\n",
"fiModelDesc 5059\n",
"ProductGroup 6\n",
"Enclosure 6\n",
"fiModelDescriptor 140\n",
"Drive_System 4\n",
"Hydraulics 12\n",
"Tire_Size 17\n",
"dtype: int64"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_nn_final[cat_nn].nunique()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.176706, 0.230642)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xs_filt2 = xs_filt.drop('fiModelDescriptor', axis=1)\n",
"valid_xs_time2 = valid_xs_time.drop('fiModelDescriptor', axis=1)\n",
"m2 = rf(xs_filt2, y_filt)\n",
"m_rmse(m, xs_filt2, y_filt), m_rmse(m2, valid_xs_time2, valid_y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"cat_nn.remove('fiModelDescriptor')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"procs_nn = [Categorify, FillMissing, Normalize]\n",
"to_nn = TabularPandas(df_nn_final, procs_nn, cat_nn, cont_nn,\n",
" splits=splits, y_names=dep_var)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"dls = to_nn.dataloaders(1024)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(8.465899897028686, 11.863582336583399)"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y = to_nn.train.y\n",
"y.min(),y.max()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"from fastai2.tabular.all import *"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"learn = tabular_learner(dls, y_range=(8,12), layers=[500,250],\n",
" n_out=1, loss_func=F.mse_loss)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(0.005754399299621582, 0.0002754228771664202)"
]
},
"execution_count": null,
"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": [
"learn.lr_find()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: left;\">\n",
" <th>epoch</th>\n",
" <th>train_loss</th>\n",
" <th>valid_loss</th>\n",
" <th>time</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <td>0</td>\n",
" <td>0.069705</td>\n",
" <td>0.062389</td>\n",
" <td>00:11</td>\n",
" </tr>\n",
" <tr>\n",
" <td>1</td>\n",
" <td>0.056253</td>\n",
" <td>0.058489</td>\n",
" <td>00:11</td>\n",
" </tr>\n",
" <tr>\n",
" <td>2</td>\n",
" <td>0.048385</td>\n",
" <td>0.052256</td>\n",
" <td>00:11</td>\n",
" </tr>\n",
" <tr>\n",
" <td>3</td>\n",
" <td>0.043400</td>\n",
" <td>0.050743</td>\n",
" <td>00:11</td>\n",
" </tr>\n",
" <tr>\n",
" <td>4</td>\n",
" <td>0.040358</td>\n",
" <td>0.050986</td>\n",
" <td>00:11</td>\n",
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"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"learn.fit_one_cycle(5, 1e-2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"0.2258"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"preds,targs = learn.get_preds()\n",
"r_mse(preds,targs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"learn.save('nn')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sidebar: fastai's Tabular classes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### End sidebar"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ensembling"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"rf_preds = m.predict(valid_xs_time)\n",
"ens_preds = (to_np(preds.squeeze()) + rf_preds) /2"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.22291"
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r_mse(ens_preds,valid_y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Boosting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Combining embeddings with other methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion: our advice for tabular modeling"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Questionnaire"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. What is a continuous variable?\n",
"1. What is a categorical variable?\n",
"1. Provide 2 of the words that are used for the possible values of a categorical variable.\n",
"1. What is a \"dense layer\"?\n",
"1. How do entity embeddings reduce memory usage and speed up neural networks?\n",
"1. What kind of datasets are entity embeddings especially useful for?\n",
"1. What are the two main families of machine learning algorithms?\n",
"1. Why do some categorical columns need a special ordering in their classes? How do you do this in pandas?\n",
"1. Summarize what a decision tree algorithm does.\n",
"1. Why is a date different from a regular categorical or continuous variable, and how can you preprocess it to allow it to be used in a model?\n",
"1. Should you pick a random validation set in the bulldozer competition? If no, what kind of validation set should you pick?\n",
"1. What is pickle and what is it useful for?\n",
"1. How are `mse`, `samples`, and `values` calculated in the decision tree drawn in this chapter?\n",
"1. How do we deal with outliers, before building a decision tree?\n",
"1. How do we handle categorical variables in a decision tree?\n",
"1. What is bagging?\n",
"1. What is the difference between `max_samples` and `max_features` when creating a random forest?\n",
"1. If you increase `n_estimators` to a very high value, can that lead to overfitting? Why or why not?\n",
"1. What is *out of bag error*?\n",
"1. Make a list of reasons why a model's validation set error might be worse than the OOB error. How could you test your hypotheses?\n",
"1. How can you answer each of these things with a random forest? How do they work?:\n",
" - How confident are we in our projections using a particular row of data?\n",
" - For predicting with a particular row of data, what were the most important factors, and how did they influence that prediction?\n",
" - Which columns are the strongest predictors?\n",
" - How do predictions vary, as we vary these columns?\n",
"1. What's the purpose of removing unimportant variables?\n",
"1. What's a good type of plot for showing tree interpreter results?\n",
"1. What is the *extrapolation problem*?\n",
"1. How can you tell if your test or validation set is distributed in a different way to your training set?\n",
"1. Why do we make `saleElapsed` a continuous variable, even although it has less than 9000 distinct values?\n",
"1. What is boosting?\n",
"1. How could we use embeddings with a random forest? Would we expect this to help?\n",
"1. Why might we not always use a neural net for tabular modeling?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Further research"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Pick a competition on Kaggle with tabular data (current or past) and try to adapt the techniques seen in this chapter to get the best possible results. Compare yourself to the private leaderboard.\n",
"1. Implement the decision tree algorithm in this chapter from scratch yourself, and try it on this dataset.\n",
"1. Use the embeddings from the neural net in this chapter in a random forest, and see if you can improve on the random forest results we saw.\n",
"1. Explain what each line of the source of `TabularModel` does (with the exception of the `BatchNorm1d` and `Dropout` layers)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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