\n",
" \n",
"\n",
"Boosting is one the most powerful learning algorithms developed in recent decades. In most settings, a carefully tuned boosting model is likely to be among the best algorithms immediately available for prediction, if not the best. A large scale empirical study by [Caruana and Niculescu-Mizil (2006)](https://dl.acm.org/ft_gateway.cfm?id=1143865&ftid=364245&dwn=1&CFID=7573757&CFTOKEN=aea5af1b7b29f94-E2D75B9E-EE4F-186B-FF2FDBF1F8C435D1) found that boosting was overall the most accurate algorithm for supervised learning across a variety of datasets, among competitors that included random forests, support vector machines, and neural networks. Boosting is also behind the [winning solutions](https://github.com/dmlc/xgboost/tree/master/demo#machine-learning-challenge-winning-solutions) to several machine learning competitions. \n",
"\n",
"In this lesson we will study a regression problem to illustrate how to using boosting with Python. Due to the importance of this topic, we will move beyond Scikit-Learn to consider two specialised packages for gradient boosting: [XGBoost](http://xgboost.readthedocs.io/en/latest/model.html) and [LightGBM](https://github.com/Microsoft/LightGBM). \n",
"\n",
"California Housing Data \n",
"Exploratory Data Analysis \n",
"Boosting \n",
"XGBoost \n",
"LightGBM \n",
"Benchmark Models \n",
"Model Evaluation \n",
"\n",
"This notebook relies on the following libraries and settings."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Packages\n",
"import numpy as np\n",
"from scipy import stats\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import warnings\n",
"warnings.filterwarnings('ignore') "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Plot settings\n",
"sns.set_context('notebook') \n",
"sns.set_style('ticks') \n",
"colours = ['#1F77B4', '#FF7F0E', '#2CA02C', '#DB2728', '#9467BD', '#8C564B', '#E377C2','#7F7F7F', '#BCBD22', '#17BECF']\n",
"crayon = ['#4E79A7','#F28E2C','#E15759','#76B7B2','#59A14F', '#EDC949','#AF7AA1','#FF9DA7','#9C755F','#BAB0AB']\n",
"sns.set_palette(colours)\n",
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = (9, 6)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Methods\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"# Model selection and evaluation tools\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.model_selection import RandomizedSearchCV\n",
"from sklearn.metrics import mean_squared_error, r2_score, mean_absolute_error"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##California Housing Data\n",
"\n",
"###Data Processing\n",
"\n",
"We use the California housing dataset, which we can obtain directly from the Scikit-Learn distribution. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Downloading Cal. housing from https://ndownloader.figshare.com/files/5976036 to C:\\Users\\Marcel\\scikit_learn_data\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"California housing dataset.\n",
"\n",
"The original database is available from StatLib\n",
"\n",
" http://lib.stat.cmu.edu/datasets/\n",
"\n",
"The data contains 20,640 observations on 9 variables.\n",
"\n",
"This dataset contains the average house value as target variable\n",
"and the following input variables (features): average income,\n",
"housing average age, average rooms, average bedrooms, population,\n",
"average occupation, latitude, and longitude in that order.\n",
"\n",
"References\n",
"----------\n",
"\n",
"Pace, R. Kelley and Ronald Barry, Sparse Spatial Autoregressions,\n",
"Statistics and Probability Letters, 33 (1997) 291-297.\n",
"\n",
"\n"
]
}
],
"source": [
"from sklearn.datasets import fetch_california_housing\n",
"raw = fetch_california_housing()\n",
"print(raw.DESCR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I prefer to work with pandas, so that the next cells stores the dataset in a dataframe. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
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" \n",
"
\n",
"
\n",
"
MedInc
\n",
"
HouseAge
\n",
"
AveRooms
\n",
"
AveBedrms
\n",
"
Population
\n",
"
AveOccup
\n",
"
Latitude
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"
Longitude
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"
MedianHouseValue
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"
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0
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8.3252
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8.3014
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"text/plain": [
" MedInc HouseAge AveRooms AveBedrms Population AveOccup Latitude \\\n",
"0 8.3252 41.0 6.984127 1.023810 322.0 2.555556 37.88 \n",
"1 8.3014 21.0 6.238137 0.971880 2401.0 2.109842 37.86 \n",
"2 7.2574 52.0 8.288136 1.073446 496.0 2.802260 37.85 \n",
"3 5.6431 52.0 5.817352 1.073059 558.0 2.547945 37.85 \n",
"4 3.8462 52.0 6.281853 1.081081 565.0 2.181467 37.85 \n",
"\n",
" Longitude MedianHouseValue \n",
"0 -122.23 4.526 \n",
"1 -122.22 3.585 \n",
"2 -122.24 3.521 \n",
"3 -122.25 3.413 \n",
"4 -122.25 3.422 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = pd.DataFrame(raw.data, columns=raw.feature_names)\n",
"data['MedianHouseValue']=raw.target\n",
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some of the predictors have severe outliers, which we remove for simplicity. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data=data[data['AveRooms']\n",
"\n",
"ii. The response is very right skewed, so that we work with work with its log transformation. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"response = data.columns[-1] # last column in the dataframe\n",
"predictors= list(data.columns[:-1]) # all columns except the last\n",
" \n",
"index_train, index_test = train_test_split(np.array(data.index), train_size=0.2, random_state=1)\n",
"\n",
"train = data.loc[index_train,:].copy()\n",
"test = data.loc[index_test,:].copy()\n",
"\n",
"y_train = np.log(train[response])\n",
"y_test = np.log(test[response])\n",
"\n",
"X_train = train[predictors].copy()\n",
"X_test = test[predictors].copy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Exploratory data analysis\n",
"\n",
"A key feature of this dataset is the presence of geographical information. The next cell draws a map to allow us to visualise the relationship between location and median house prices. Warmer colours indicate higher prices, while the size of the bubbles indicates the population of the area. \n",
"\n",
"The house prices are higher near the coast, around the Bay area, and around Los Angeles. As we will see, the geographical patterns will be crucial for predictive accurarcy. \n",
"\n",
"Note the following technical details:\n",
"\n",
"(a) You need to install the basemap package to run the cell and render the map, with additional installation required for the full resolution option (you can remove it). \n",
"\n",
"(b) The cell will take nearly a minute to run because of the full resolution option. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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9XS0CU7quB2goRxvScClt7f0uNvae15/rRUfE9ALtzjTt4DsNnx+tD+loxG4NftTefC9W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KSXcr6G6orB2/VLdkXPL2jlzP+kxW0t4L6IIlK2H5MkFNjfPbmqxUVlZy7NixfJsx4TjC7jBl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\nlOD6FQb/Y7tJyJqf1zgzqnjkGzAzClND0P9C7ec32ltbTti+fTsPPfTQvMQ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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.basemap import Basemap\n",
"\n",
"def california_map(ax=None, lllat=31.5, urlat=42.5,\n",
" lllon=-124,urlon=-113):\n",
"# This function is based on \"Data Analytics Using Open-Source Tools\" by Jeffrey Strickland\n",
" \n",
" m = Basemap(ax=ax, projection='stere',\n",
" lon_0=(urlon + lllon) / 2,\n",
" lat_0=(urlat + lllat) / 2,\n",
" llcrnrlat=lllat, urcrnrlat=urlat,\n",
" llcrnrlon=lllon, urcrnrlon=urlon, resolution='f')\n",
" m.drawstates()\n",
" m.drawcountries()\n",
" m.drawcoastlines(color='lightblue')\n",
" return m\n",
"\n",
"\n",
"# Plot Figure\n",
"fig, ax = plt.subplots(figsize=(9,9))\n",
"m = california_map()\n",
"x, y = m(train['Longitude'].as_matrix(), train['Latitude'].as_matrix())\n",
"\n",
"cmap = sns.diverging_palette(220, 10, as_cmap=True)\n",
"m.scatter(x,y,s=train['Population']/30, c=train['MedianHouseValue'], edgecolors='none', cmap=plt.get_cmap('rainbow'),\n",
" alpha=0.5)\n",
"\n",
"ax.set_title('Median house values in California (training data)', fontsize=17, y=1.01, fontweight='bold')\n",
"ax.spines['bottom'].set_color('#DDDDDD')\n",
"ax.spines['top'].set_color('#DDDDDD')\n",
"ax.spines['right'].set_color('#DDDDDD')\n",
"ax.spines['left'].set_color('#DDDDDD')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The two variables with strongest linear relationship with house values are the median income of the area, and the average number of rooms. Further exploration through the scatter plots below reveal nonlinear patterns for the median income, average rooms, and average occupancy. Population, housing average age, and average bedrooms seem to have only weak relationships with house values. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"