{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Intro\n", "\n", "Decision tree (DT) is a non-linear ML model that can do regression or classification based on tree sturcture. The main idea of DT model is :\n", "*** maximize the Information gain (IG)*** within every iteration.\n", "\n", "- *** IG ***\n", "\n", "\n", "$$\n", "\\begin{equation}\n", "IG(D_p, f)=\\Delta I=I(D_p)-\\sum_{j=1}^{m}\\frac{N_j}{N_p}I(D_j)\\ ,\n", "\\end{equation}\n", "$$\n", "\n", "\n", "There are 3 impurity caculation methods:\n", " - Gini impurity $(I_{G})$ \n", " \n", "$$\n", "\\begin{equation}\n", "I_{G}(t)=\\sum_{i=1}^{c}p(i|t)\\left(1-p(i|t)\\right)\\ \n", "\\end{equation}\n", "$$ \n", " - Entropy $(I_{E})$\n", " \n", "$$\n", "\\begin{equation}\n", "I_{E}(t)=-\\sum_{i=1}^{c}p(i|t)\\log_{2}{p(i|t)}\\ .\n", "\\end{equation}\n", "$$\n", " - Classification error $(I_{\\epsilon})$\n", " \n", "$$\n", "\\begin{equation}\n", "I_{\\epsilon}(t)=1-\\max{\\left\\{p(i|t)\\right\\}}\\ .\n", "\\end{equation}\n", "$$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Information gain (IG) \n", " - entropy(parent) - sum(entropy(children))\n", " \n", " \n", "- Gini impurity :\n", " - Gini impurity is a measure of how often a randomly chosen element from the set would be incorrectly labeled if it was randomly labeled according to the distribution of labels in the subset. Gini impurity can be computed by summing the probability ${\\displaystyle p_{i}}$ of an item with label ${\\displaystyle i}$ being chosen times the probability ${\\displaystyle \\sum _{k\\neq i}p_{k}=1-p_{i}}$ \n", "\n", "\n", "\n", "- Entropy : \n", " - randomness of a dataset (randomness ↑ => entropy ↑), \n", " ***p(i|t)*** are fractions that add up to 1 and represent thepercentage of each class present in the child node that results from a split in the tree\n", "\n", "\n", "- Tree structre : a top-down binary tree classification \n", " that each parent has 2 child, each child as new parent and has 2 child .. and so on, finally can classify data into several groups based on some criterions. \n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "# analysis library\n", "import pandas as pd, numpy as np \n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "%pylab inline\n", "\n", "# ML\n", "from sklearn import datasets\n", "from sklearn.tree import DecisionTreeRegressor, DecisionTreeClassifier\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1) DT model demo (decision tree)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Entropy VS Entropy (scaled) VS Gini Impurity" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# plot style \n", "plt.style.use('classic')\n", "matplotlib.rcParams['figure.figsize'] = (20.0, 10.0)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2) Tuning DT " ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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RiUQQiUQ91n9tbS1WrVqFgQMHYuTIke3G7kkikQhubm7IyMiAUqkUjg8ZMqRH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GEkAMjQoEOGdtQLI3UzBd1ueZYiUBkpCjJEwci4guLMSColwbfAxkinc97OatOWIAh5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\nCoWRpoMPyAAAAKkKL2BjWQr4o9q0+azVLXtHGPn+5/31ftWfE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# DT regression \n", "\n", "# Create a random dataset\n", "rng = np.random.RandomState(1)\n", "X = np.sort(5 * rng.rand(80, 1), axis=0)\n", "y = np.sin(X).ravel()\n", "y[::5] += 3 * (0.5 - rng.rand(16))\n", "\n", "# Fit regression model\n", "regr_1 = DecisionTreeRegressor(max_depth=2)\n", "regr_2 = DecisionTreeRegressor(max_depth=5)\n", "regr_3 = DecisionTreeRegressor(max_depth=7)\n", "regr_4 = DecisionTreeRegressor(max_depth=30)\n", "\n", "regr_1.fit(X, y)\n", "regr_2.fit(X, y)\n", "regr_3.fit(X, y)\n", "regr_4.fit(X, y)\n", "\n", "# Predict\n", "X_test = np.arange(0.0, 5.0, 0.01)[:, np.newaxis]\n", "y_1 = regr_1.predict(X_test)\n", "y_2 = regr_2.predict(X_test)\n", "y_3 = regr_3.predict(X_test)\n", "y_4 = regr_4.predict(X_test)\n", "\n", "# Plot the results\n", "plt.figure()\n", "plt.scatter(X, y, s=20, edgecolor=\"black\",c=\"darkorange\", label=\"data\")\n", "plt.plot(X_test, y_1, color=\"cornflowerblue\",label=\"max_depth=2\", linewidth=2)\n", "plt.plot(X_test, y_2, color=\"yellowgreen\", label=\"max_depth=5\", linewidth=2)\n", "plt.plot(X_test, y_3, color=\"red\", label=\"max_depth=7\", linewidth=2)\n", "plt.plot(X_test, y_4, color=\"purple\", label=\"max_depth=30\", linewidth=2)\n", "\n", "plt.xlabel(\"data\")\n", "plt.ylabel(\"target\")\n", "plt.title(\"Decision Tree Regression\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "# DT classifier \n", "\n", "\n", "def data_preprocess(X,y):\n", " X_train, X_test, y_train, y_test = train_test_split( X, y, test_size=0.2 )\n", " sc = StandardScaler()\n", " sc.fit(X_train)\n", " X_train_std = sc.transform(X_train)\n", " X_test_std = sc.transform(X_test)\n", " return X_train_std,X_test_std ,X_train, X_test, y_train, y_test\n", "\n", "\n", "# load iris data \n", "\n", "iris = datasets.load_iris()\n", "X = iris.data[:, [2,3]]\n", "y = iris.target\n", "# pre-process data \n", "X_train_std,X_test_std,X_train, X_test, y_train, y_test = data_preprocess(X,y)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "#print(plt.style.available)" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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wcP36dUoHBtIqPp7QW85hBZa6u+MTGsqiZcsYOXIkS8PDSTGbqVyjBh9PmkTz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dnXlrwoRCuxL1mLFjSVSr+f2OIko2sA/Y6+jIlKlTbRidEKIoKVWqFKNHj2aVWs2lO45fBZar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\ngxKgBJcvpy/eeO3aNdLSUkn/LVn2cyHrIpDp0r+jhXF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fitting data with DT classifer and plot output \n", "plt.style.use('seaborn-muted')\n", "#matplotlib.rcParams['figure.figsize'] = (10.0, 6.0)\n", "\n", "# https://stackoverflow.com/questions/3584805/in-matplotlib-what-does-the-argument-mean-in-fig-add-subplot111\n", "# --------------------------------\n", "# |subplot(2,1,1) |subplot(2,1,2)|\n", "# |subplot(2,1,3) |subplot(2,1,4)|\n", "# --------------------------------\n", "\n", "\n", "\n", "N_d = 8\n", "r = int(N_d/4)\n", "fig = plt.figure(figsize=(16, N_d*1.5))\n", "\n", "\n", "for depth_ in range(1,10):\n", " fig.add_subplot( r if (N_d+2)%3 is 0 else r+1, 3, depth_ )\n", " DT_model = DecisionTreeClassifier(max_depth=depth_)\n", " DT_model.fit(X_train, y_train)\n", " plt.scatter(X_test[:,0:1],X_test[:,1:2],c=DT_model.predict(X_test),s=50)\n", " plt.title('DT model with depth = {}'.format(depth_))\n", " #print (DT_model.score(X_test,y_test))\n", "plt.show()\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 2 }