{ "cells": [ { "cell_type": "raw", "metadata": {}, "source": [ "\n", "
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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "In this post, I demonstrate two broad techniques for engineering numeric features in the HDB resale flat dataset: data transformation and binning. The objective for engineering numeric features is to convert them into a form that facilitates machine learning. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import modules\n", "from IPython.display import Image \n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pydotplus\n", "from scipy import misc\n", "from scipy import stats\n", "import seaborn.apionly as sns\n", "from sklearn import tree\n", "from sklearn.tree import DecisionTreeRegressor\n", "import warnings\n", "\n", "# Settings\n", "%matplotlib inline\n", "warnings.filterwarnings('ignore')\n", "\n", "# Read data\n", "hdb = pd.read_csv('resale-flat-prices-based-on-registration-date-from-jan-2015-onwards.csv')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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monthtownflat_typeblockstreet_namestorey_rangefloor_area_sqmflat_modellease_commence_dateremaining_leaseresale_price
02015-01ANG MO KIO3 ROOM174ANG MO KIO AVE 407 TO 0960.0Improved198670255000.0
12015-01ANG MO KIO3 ROOM541ANG MO KIO AVE 1001 TO 0368.0New Generation198165275000.0
22015-01ANG MO KIO3 ROOM163ANG MO KIO AVE 401 TO 0369.0New Generation198064285000.0
32015-01ANG MO KIO3 ROOM446ANG MO KIO AVE 1001 TO 0368.0New Generation197963290000.0
42015-01ANG MO KIO3 ROOM557ANG MO KIO AVE 1007 TO 0968.0New Generation198064290000.0
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" ], "text/plain": [ " month town flat_type block street_name storey_range \\\n", "0 2015-01 ANG MO KIO 3 ROOM 174 ANG MO KIO AVE 4 07 TO 09 \n", "1 2015-01 ANG MO KIO 3 ROOM 541 ANG MO KIO AVE 10 01 TO 03 \n", "2 2015-01 ANG MO KIO 3 ROOM 163 ANG MO KIO AVE 4 01 TO 03 \n", "3 2015-01 ANG MO KIO 3 ROOM 446 ANG MO KIO AVE 10 01 TO 03 \n", "4 2015-01 ANG MO KIO 3 ROOM 557 ANG MO KIO AVE 10 07 TO 09 \n", "\n", " floor_area_sqm flat_model lease_commence_date remaining_lease \\\n", "0 60.0 Improved 1986 70 \n", "1 68.0 New Generation 1981 65 \n", "2 69.0 New Generation 1980 64 \n", "3 68.0 New Generation 1979 63 \n", "4 68.0 New Generation 1980 64 \n", "\n", " resale_price \n", "0 255000.0 \n", "1 275000.0 \n", "2 285000.0 \n", "3 290000.0 \n", "4 290000.0 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Preview\n", "hdb.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numeric Features in the Dataset\n", "To recap, there are four numeric features in the dataset: our target `resale_price`, and predictors `floor_area_sqm`, `lease_commence_date`, and `remaining_lease`. Let's extract these from the dataset and plot a correlation matrix:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Extract data\n", "df = hdb[['resale_price', 'floor_area_sqm', 'lease_commence_date', 'remaining_lease']]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "plt.figure(figsize = (10,8))\n", "sns.heatmap(df.corr(), annot = True,\n", " cmap=sns.light_palette((210, 90, 60), input=\"husl\", as_cmap = True))\n", "ax = plt.gca()\n", "ax.title.set_color('#3a3a3a')\n", "ax.set_xticklabels(['Resale Price', 'Floor Area', 'Lease Commence Date', 'Remaining Lease'], rotation = 'vertical')\n", "ax.set_yticklabels(['Resale Price', 'Floor Area', 'Lease Commence Date', 'Remaining Lease'])\n", "plt.title('Correlation of Numeric Features', fontdict = {'fontweight': 'bold', 'fontsize': 20})\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We find that the lease commence date and the remaining lease are highly correlated. Hence, we can simply pick one of them. Let's keep the remaining lease because it provides better intuition than the year that the lease commenced." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Drop lease commence date\n", "df = df.drop('lease_commence_date', axis = 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Two Techniques for Feature Generation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Transformation\n", "One key assumption in linear models is that their **errors** should follow a Gaussian or \"normal\" distribution. However, the features we obtain in real datasets are rarely normally distributed. This is what we observed in our exploratory data analysis (EDA) phase. Consequently, fitting models to the data without any form of normalisation may cause us to violate the stated assumption. Thus, to help our linear models fit better, we need to transform the data.\n", " \n", "### The Target\n", "First, let's perform a log transformation on the target (I'll refer to resale as \"the target\"). I've reproduced the histogram from the EDA phase below:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After applying the log transformation, the distribution appears more normal:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Create log price variable\n", "df['log_tgt'] = np.log(df.resale_price)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Floor Area\n", "In this post, I use floor area to demonstrate both transformations and binning. However, the same transformations ought to be performed on our final numeric feature: remaining lease. For now, we perform the same steps for floor area, and find that it does make the distribution more normal:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Create logged floor area\n", "df['log_floor_area'] = np.log(df.floor_area_sqm)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Binning\n", "Binning is the process of splitting up a numeric feature at specified thresholds to get categories or bins. In this way, numeric features can be recoded as categorical features, where they can be processed further (more on this in my upcoming post on categorical features). The whole point of doing so is to facilitate the detection of patterns in the data. This is achieved by making sure that the bins we create have some relation to the target. For example, the bins can help our models to distinguish between low, medium, and high levels of the target. There are several techniques we can apply: \n", " \n", "1. Fixed-width binning\n", "2. Quantile binning\n", "3. Binning with decision trees \n", " \n", "### A. Fixed-width Binning\n", "This concept is simple. We simply set up equidistant markers along the stretch of possible numeric values of a given feature. Let's use floor area as an example. Suppose we want to divide the area into 4 equal parts. We know that the minimum logged floor area was 3.43 sqm, and the maximum was 5.63 sqm. Thus, each marker must be about 0.55 sqm apart. Computing and superimposing these bins on the original graph, we have:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Create quantile bins\n", "df['log_floor_area_fwb'] = pd.cut(x=df.log_floor_area, bins=4)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4.534, 5.0846] 37050\n", "(3.984, 4.534] 31626\n", "(3.432, 3.984] 788\n", "(5.0846, 5.635] 303\n", "Name: log_floor_area_fwb, dtype: int64" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NOT RUN\n", "df.log_floor_area_fwb.value_counts()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks nice, but note that a large majority of observations will fall under bins 2 and 3 (orange and green). Increasing the number of fixed-width bins will not help much, because we will still have bins with large concentrations near the center and bins with low concentrations at the fringes. Hence, we turn to quantile binning." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### B. Quantile Binning\n", "Quantile binning splits the data into *n* equal portions. In other words, we create bins with approximately the same number of observations in them. Let's split the data into four quantiles:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Create quantile bins\n", "df['log_floor_area_qb'] = pd.qcut(x=df.log_floor_area, q=4)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4.564, 4.718] 17575\n", "[3.434, 4.331] 17489\n", "(4.331, 4.564] 17458\n", "(4.718, 5.635] 17245\n", "Name: log_floor_area_qb, dtype: int64" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# NOT RUN\n", "df.log_floor_area_qb.value_counts()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distances between the markers are no longer uniform now. But, we ensure that each bin has the same number of observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wait, What's the Point?\n", "It's important to remember why we're binning in the first place: to help our models predict the target. Thus far, I've demonstrated two techniques for binning numeric data without any assessment of how good these binning configurations are. Let's evaluate them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fixed-Width Bins" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Compute number of observations in each bin\n", "eval_fw_bins = pd.DataFrame()\n", "eval_fw_bins['count'] = df.log_floor_area_fwb.value_counts()\n", "\n", "# Compute mean of resale price for each bin\n", "eval_fw_bins['mean'] = df.groupby('log_floor_area_fwb').resale_price.mean()\n", "df['fw_bins_mean'] = df.log_floor_area_fwb.astype('str').map(df.groupby('log_floor_area_fwb').resale_price.mean())\n", "\n", "# Compute mean absolute error of resale price for each bin\n", "df['fw_bins_sq_err'] = (df.resale_price - df.fw_bins_mean) ** 2\n", "eval_fw_bins['rmse'] = np.sqrt(df.groupby('log_floor_area_fwb').fw_bins_sq_err.mean())\n", "\n", "# Compute standard error\n", "eval_fw_bins['std'] = df.groupby('log_floor_area_fwb').resale_price.std()\n", "\n", "# Sort\n", "eval_fw_bins = eval_fw_bins.sort_index()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Quantile Bins" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Compute number of observations in each bin\n", "eval_q_bins = pd.DataFrame()\n", "eval_q_bins['count'] = df.log_floor_area_qb.value_counts()\n", "\n", "# Compute mean of resale price for each bin\n", "eval_q_bins['mean'] = df.groupby('log_floor_area_qb').resale_price.mean()\n", "df['q_bins_mean'] = df.log_floor_area_qb.astype('str').map(df.groupby('log_floor_area_qb').resale_price.mean())\n", "\n", "# Compute mean absolute error of resale price for each bin\n", "df['q_bins_sq_err'] = (df.resale_price - df.q_bins_mean) ** 2\n", "eval_q_bins['rmse'] = np.sqrt(df.groupby('log_floor_area_qb').q_bins_sq_err.mean())\n", "\n", "# Compute standard error\n", "eval_q_bins['std'] = df.groupby('log_floor_area_qb').resale_price.std()\n", "\n", "# Sort\n", "eval_q_bins = eval_q_bins.sort_index()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the two graphs above, the blue bars represent the average prices of flats in the respective bins. The green bars represent the root mean squared errors (RMSE) - the standard deviation of prediction errors. The orange bar represents one standard deviation above and below the mean. \n", " \n", "First, we note that the trend in mean resale price is as expected: it increases with floor area. Second, we find that the RMSEs for both binning configurations are still fairly large. The only reason why RMSE is smaller for Bins 1 and 4 for the fixed-width configuration is that the bins contain much fewer observations. It is difficult to decide which of the two configurations would be more useful for predicting the target. A better way to optimise binning based on RMSE would be decision trees." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### C. Binning with Decision Trees\n", "Decision trees give us a set of rules for splitting a dataset into discrete bins. In our case, we have a data subset with just resale prices and floor area. Therefore, the algorithm will split the floor area feature based on variance (or MSE) in resale prices. Note that we don't need to use the logged values because trees are sensitive only to the **order** of the features. For example, splitting logged floor area at 4.56 sqm is the same as splitting floor area at 96 sqm: the algorithm would be splitting floor area at the median. \n", " \n", "The first thing we need to do is extract the target (resale prices) and the sole feature: floor area." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Separate data\n", "y_train = df.resale_price\n", "X_train = df[['floor_area_sqm']]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we fit a decision tree to the data. We must ensure that the algorithm creates bins that are not too narrowly defined. The problem with extremely small bins is that new, unseen data is noisy, and new observations may not fall into bins in a way that helps to improve predictions. We therefore need to (1) limit tree depth and (2) demand sufficiently large leaf (terminal) nodes. The parameters I chose were: \n", " \n", "1. **criterion = 'mse':** MSE stands for mean squared error. This parameter tells the model to minimise variance or L2 loss.\n", "2. **max_depth = 4:** Maximum depth controls the size of the tree in terms of the number of levels. For example, a family tree with (0) grandparents, (1) parents, (2) children, and (3) grandchildren has a depth of 3.\n", "3. **min_samples_leaf = 6500:** This parameter sets the minimum number of observations in the terminal nodes of the tree. I set it at slightly less than 10% of the number of observations to ensure that the bins are sufficiently large.\n", "4. **random_state = 123:** Just a random number to reproduce the same results. \n", " \n", "I have left all other parameters as the defaults. See the `sklearn` [documentation](http://scikit-learn.org/stable/modules/generated/sklearn.tree.DecisionTreeRegressor.html) for more details." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 25, "metadata": { "image/png": { "width": 750 } }, "output_type": "execute_result" } ], "source": [ "# Configure decision tree regressor\n", "dt_model = DecisionTreeRegressor(\n", " criterion = 'mse',\n", " max_depth = 4,\n", " min_samples_leaf = 6500,\n", " random_state = 123\n", ")\n", "\n", "# Fit data\n", "dt_model.fit(X_train, y_train)\n", "\n", "# Plot\n", "dot_data = tree.export_graphviz(\n", " dt_model, feature_names=['floor_area'],\n", " out_file=None, filled=True,\n", " rounded=True, precision = 0\n", ")\n", "\n", "# Draw graph\n", "graph = pydotplus.graph_from_dot_data(dot_data) \n", "\n", "# Show graph\n", "Image(graph.create_png(), width = 750)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the parameters above, the decision tree gives us 6 bins ranging in size from 6.5k to 16k observations. In each cell, `samples` states the number of observations, and `value` states the average price of flats in that node or bin.\n", " \n", "1. **Bin 1:** Floor area less than 68 sqm.\n", "2. **Bin 2:** Floor area of 68-84 sqm.\n", "3. **Bin 3:** Floor area of 84-100 sqm.\n", "4. **Bin 4:** Floor area of 100-106 sqm.\n", "5. **Bin 5:** Floor area of 106-112 sqm.\n", "6. **Bin 6:** Floor area of 112-130 sqm.\n", "7. **Bin 7:** Floor area of 130 sqm or more.\n", " " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Extract data\n", "dtree_means = [304573, 352248, 455199, 417629, 473161, 535979, 622046]\n", "dtree_rmse = np.sqrt([3064234485, 5847038654, 15725724858, 9086322813, 1608166731, 18479711760, 14380391098])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reproducing a similar chart for the decision tree bins, we see that, like the other binning configurations, the RMSE in each bin is still high. However, we have an interesting finding: Bin 3 appears to contain flats with a higher average price despite having a smaller floor area than Bin 4! This could give us some interesting results in the modeling phase." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CODE FOR CUSTOM GRAPHICS NOT INCLUDED" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Selecting a Binning Method\n", "How do we decide which binning method to use? The answer is that there is no quick, short, and easy way to select a binning method. The decision tree looks like it separates the data well, but it might end up giving the poorest prediction results. The only way to know which is the best method to use is to treat this as a hyperparameter in the pipeline. That is, we need to test many different binning configurations in our models and use cross validation to measure the prediction errors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# What's Next?\n", "In this post, I demonstrated two possible ways to transform numeric features in order to recode the data into a more useful form for machine learning. First, it is important to make the features as \"normal\" as possible. Second, it is useful to separate our numeric features into bins. I demonstrated fixed-width binning, quantile binning, and decision tree binning using the floor area feature. While the first two binning methods didn't generate any particularly interesting findings, the decision tree did. Yet, this doesn't mean that we should choose decision trees as *the* method to bin our data. We will never know exactly which technique is the best until we validate our models. \n", " \n", "Are we done engineering features? **Far from it**. Binning numeric features essentially converts them into **categorical features**, and there are many more ways to transform them. In fact, all techniques involve converting categorical features back into numeric features! I'll save engineering of categorical features for another post." ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }