{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "_This notebook contains code and comments from Sections 4.1 and 4.2 of the book [Ensemble Methods for Machine Learning](https://www.manning.com/books/ensemble-methods-for-machine-learning). Please see the book for additional details on this topic. This notebook and code are released under the [MIT license](https://github.com/gkunapuli/ensemble-methods-notebooks/blob/master/LICENSE)._\n", "\n", "---\n", "\n", "## 4.1 Sequential Ensembles of Weak Learners\n", "Decision stumps (trees of depth 1, left) are commonly used as weak learners in sequential ensemble methods such as boosting. As tree depth increases, it becomes a stronger classifier, and its performance improves. However, it is not possible to arbitrarily increase the strength of classifiers as they will begin to overfit during training, which decreases their prediction performance when deployed.\n", "\n", "Below, we visualize the decision boundaries of a weak tree and a strong tree. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_circles\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import accuracy_score\n", "import matplotlib.pyplot as plt\n", "from plot_utils import plot_2d_data, plot_2d_classifier" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x252 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate the data\n", "X, y = make_circles(n_samples=500, noise=0.15, factor=0.2, random_state=13)\n", "X, Xtst, y, ytst = train_test_split(X, y, train_size=450, random_state=13)\n", "\n", "# Train the classifiers\n", "weak_learner = DecisionTreeClassifier(max_depth=1)\n", "weak_learner.fit(X, y)\n", "weak_learner_err = accuracy_score(ytst, weak_learner.predict(Xtst))\n", "\n", "strong_learner = DecisionTreeClassifier(max_depth=4)\n", "strong_learner.fit(X, y)\n", "strong_learner_err = accuracy_score(ytst, strong_learner.predict(Xtst))\n", "\n", "# Plot the two trees\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 3.5))\n", "\n", "\n", "title = 'Weak Learner (depth=1, acc={0:3.1f}%)'.format(100 * weak_learner_err)\n", "plot_2d_classifier(ax[0], X, y, predict_function=weak_learner.predict, \n", " alpha=0.2, xlabel='$x_1$', ylabel='$x_2$', s=80,\n", " title=title, colormap='Blues')\n", " \n", "title = 'Strong Learner (depth=4, acc={0:3.1f}%)'.format(100 * strong_learner_err)\n", "plot_2d_classifier(ax[1], X, y, predict_function=strong_learner.predict, \n", " alpha=0.2, xlabel='$x_1$', ylabel=None, s=80, \n", " title=title, colormap='Blues')\n", "\n", "\n", "fig.tight_layout()\n", "# plt.savefig('./figures/CH04_F02_Kunapuli.png', format='png', dpi=300, bbox_inches='tight', pad_inches=0)\n", "# plt.savefig('./figures/CH04_F02_Kunapuli.pdf', format='pdf', dpi=300, bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## 4.2 AdaBoost: Adaptive Boosting\n", "AdaBoost is an adaptive algorithm: at every iteration, it trains a new base estimator that fixes the mistakes made by the previous base estimator. Thus, it needs some way to ensure that the base learning algorithm prioritizes misclassified training examples. AdaBoost does this by maintaining weights over individual training examples. \n", "\n", "### 4.2.1 Intuition: Learning with Weighted Examples\n", "\n", "Let’s visualize the first few iterations of boosting. Each iteration performs the same steps:\n", "1.\ttrain a weak learner (here, a decision stump) that learns a model to ensure training examples with higher weights are prioritized;\n", "2.\tupdate the weights of the training examples such that misclassified examples are assigned higher weights; the worse the error, the higher the weight." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.cm as cm\n", "import matplotlib.colors as col\n", "from sklearn.ensemble import AdaBoostClassifier\n", "from sklearn.datasets import make_moons\n", "\n", "X, y = make_moons(n_samples=100, noise=0.05, random_state=13)\n", "y = 2 * y - 1 # Convert labels from [0, 1] to [-1, 1]\n", "\n", "n_samples, n_features = X.shape\n", "n_estimators = 3 # Set the number of weak learners in the ensemble\n", "D = np.ones((n_samples, )) # Initialize example weights\n", "ensemble = [] # Initialize an empty ensemble\n", "\n", "cmap = cm.get_cmap('Blues')\n", "colors = cmap(np.linspace(0, 0.5, num=2))\n", "\n", "for t in range(n_estimators):\n", " # -- Initialize plotting\n", " fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n", " # --\n", "\n", " D = D / np.sum(D) # Normalize the sample weights\n", "\n", " # -- Plot the training examples in different sizes proportional to their weights\n", " s = D / np.max(D)\n", " s[(0.00 <= s) & (s < 0.25)] = 16\n", " s[(0.25 <= s) & (s < 0.50)] = 32\n", " s[(0.50 <= s) & (s < 0.75)] = 64\n", " s[(0.75 <= s) & (s <= 1.00)] = 128\n", "\n", " ax[0].scatter(X[y <= 0, 0], X[y <= 0, 1], s=s[y <= 0], marker='o', c=col.rgb2hex(colors[0]), edgecolors='k', alpha=0.5)\n", " ax[0].scatter(X[y > 0, 0], X[y > 0, 1], s=s[y > 0], marker='s', c=col.rgb2hex(colors[1]), edgecolors='k', alpha=0.5)\n", " ax[0].set_title('Iteration {0}: Sample weights'.format(t + 1))\n", " ax[0].set_xticks([])\n", " ax[0].set_yticks([])\n", " # --\n", "\n", " h = DecisionTreeClassifier(max_depth=1) # Initialize a decision stump\n", " h.fit(X, y, sample_weight=D) # Train a weak learner using sample weights\n", " ypred = h.predict(X) # Predict using the weak learner\n", "\n", " # -- Plot the individual weak learner\n", " err = (1 - accuracy_score(y, ypred)) * 100\n", " title = 'Iteration {0}: Weak Learner (err = {1:3.1f}%)'.format(t + 1, err)\n", " plot_2d_classifier(ax[1], X, y, predict_function=h.predict, \n", " alpha=0.25, xlabel=None, ylabel=None, \n", " title=title, colormap='Blues')\n", "\n", " pos_err = (y > 0) & (y != ypred)\n", " pos_cor = (y > 0) & (y == ypred)\n", " neg_err = (y <= 0) & (y != ypred)\n", " neg_cor = (y <= 0) & (y == ypred)\n", " ax[1].scatter(X[neg_err, 0], X[neg_err, 1], marker='o', c=col.rgb2hex(colors[0]), edgecolors='k', s=80)\n", " # ax[1].scatter(X[neg_cor, 0], X[neg_cor, 1], marker='o', c='lightgray', edgecolors='k')\n", " ax[1].scatter(X[pos_err, 0], X[pos_err, 1], marker='s', c=col.rgb2hex(colors[1]), edgecolors='k', s=80)\n", " # ax[1].scatter(X[pos_cor, 0], X[pos_cor, 1], marker='s', c='lightgray', edgecolors='k')\n", " ax[1].set_xticks([])\n", " ax[1].set_yticks([])\n", " # --\n", "\n", " e = 1 - accuracy_score(y, ypred, sample_weight=D) # Weighted error of the weak learner\n", " a = 0.5 * np.log((1 - e) / e) # Weak learner weight\n", "\n", " m = (y == ypred) * 1 + (y != ypred) * -1 # Identify correctly classified and misclassified points\n", " D *= np.exp(-a * m) # Update the sample weights\n", "\n", " ensemble.append((a, h)) # Save the weighted weak hypothesis\n", "\n", "\n", " # Save the figure\n", " fig.tight_layout()\n", "# plt.savefig('./figures/CH04_F0{0}_Kunapuli.png'.format(t + 3), format='png', dpi=300)\n", "# plt.savefig('./figures/CH04_F0{0}_Kunapuli.pdf'.format(t + 3), format='pdf', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After three iterations, we can combine the three individual weak learners into a strong learner. We next visualize this is the boosted ensemble. We define a function ``predict_boosting`` here to make predictions using this boosted ensemble. However, we will revisit this function more formally in Section 4.2 below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def predict_boosting(X, estimators):\n", " pred = np.zeros((X.shape[0], ))\n", "\n", " for a, h in estimators:\n", " pred += a * h.predict(X)\n", " y = np.sign(pred)\n", "\n", " return y" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Overall ensemble (err = 9.0%)')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 288x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ypred = predict_boosting(X, ensemble)\n", "err = (1 - accuracy_score(y, ypred)) * 100\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(4, 4))\n", "plot_2d_classifier(ax, X, y, predict_function=predict_boosting, predict_args=(ensemble), \n", " boundary_level=[0.0], alpha=0.25, xlabel='$x_1$', ylabel='$x_2$', s=80,\n", " title=title, colormap='Blues')\n", "\n", "fig.tight_layout()\n", "ax.set_title('Overall ensemble (err = {0:3.1f}%)'.format(err), fontsize=12)\n", "# plt.savefig('./figures/CH04_F06_Kunapuli.png', dpi=300, format='png', bbox_inches='tight', pad_inches=0)\n", "# plt.savefig('./figures/CH04_F06_Kunapuli.pdf', dpi=300, format='pdf', bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### 4.2.2\tImplementing AdaBoost\n", "\n", "AdaBoost is fairly straightforward to implement. The basic algorithmic outline at the t-th iteration can be described by the following steps:\n", "1. Train a weak learner $h_t (x)$ using the weighted training examples, $(x_i,y_i,D_i)$\n", "\t1. Compute the training error $\\epsilon_t$ of the weak learner $h_t(x)$\n", "\t2. Compute the weight of the weak learner $\\alpha_t$ that depends on $\\epsilon_t$\n", " \n", "2. Update the weights of the training examples\n", " 1. Increase the weight of misclassified examples to $D_i e^{\\alpha_t}$ \n", " 2. Decrease the weight of correctly classified examples to $D_i⁄e^{\\alpha_t}$\n", "\n", "At the end of $T$ iterations, we have weak learners $h_t$ along with the corresponding weak learner weights $\\alpha_t$. The overall classifier after t iterations is just a weighted ensemble: \n", "\n", "\\\\[ H(x)= \\sum_{t=1}^T \\alpha_t h_t (x). \\\\]\n", "\n", "Two key questions we now need to answer are: (1) how do we update the weights on the training examples, $D_i$; and (2) how do we compute the weight of each base estimator, $\\alpha_t$? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Weak Learner Weights ($\\alpha_t$)\n", "At each iteration $t$, we obtain a base estimator $h_t(x)$. The training error $\\epsilon_t$ of $h_t(x)$ is a measure of its performance. AdaBoost computes its weight as \n", "\n", "\\\\[ \\alpha_t = \\frac{1}{2} \\log \\frac{(1-\\epsilon_t)}{\\epsilon_t}. \\\\] \n", "\n", "Why this particular formulation? Let’s look at the relationship between $\\alpha_t$ and the error $\\epsilon_t$. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 504x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "epsilon = np.linspace(0.01, 0.5, num=50)\n", "alpha = 0.5 * np.log((1 - epsilon) / epsilon)\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(7, 4))\n", "ax.plot(epsilon, alpha, linewidth=3)\n", "ax.set_xlabel('Training error, $\\\\epsilon_t$', fontsize=12)\n", "ax.set_ylabel('Estimator weight, $\\\\alpha_t$', fontsize=12)\n", "ax.set_title('Error vs. Weight, $\\\\alpha_t \\\\, = \\\\, \\\\frac{1}{2} \\\\log{\\\\frac{1 - \\\\epsilon_t}{\\\\epsilon_t}}$')\n", "ax.text(0.04, 1.75, 'classifiers with the lowest errors ($\\epsilon_t \\\\approx 0$)\\n'\n", " 'are the strongest learners; they will have\\n'\n", " 'the highest weights', fontsize=12)\n", "\n", "ax.text(0.29, 0.5, 'classifiers that are only slightly better than\\n'\n", " 'random guessing ($\\epsilon_t \\\\approx 0.5$) are the weakest\\n'\n", " 'learners; they will have the lowest weights', fontsize=12)\n", "# Hide the right and top spines\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "\n", "# Only show ticks on the left and bottom spines\n", "ax.yaxis.set_ticks_position('left')\n", "ax.xaxis.set_ticks_position('bottom')\n", "\n", "fig.tight_layout()\n", "# plt.savefig('./figures/CH04_F07_Kunapuli.png', dpi=300, format='png', bbox_inches='tight')\n", "# plt.savefig('./figures/CH04_F07_Kunapuli.pdf', dpi=300, format='pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Training Example Weights ($D_i$)\n", "\n", "The base estimator weight ($\\alpha_t$) can also be used to update the weights of each training example. AdaBoost updates example weights as\n", "\n", "\\\\[ D_i^{t+1} \\, = \\, D_i^t \\cdot \\left\\{ \\right. \\begin{array}{cl} e^{\\alpha_t} & \\textrm{if misclassified,} \\\\ e^{-\\alpha_t} & \\textrm{if correctly classified.} \\end{array} \\\\]\n", "\n", "For example, let's say we have two training examples $x_1$ and $x_2$, both with weights $D_1 = D_2 = 0.75$. The current weak learner $h_t$ has weight $\\alpha_t = 1.5$. $x_1$ is **correctly classified**, so its **weight should decrease** by a factor of $e^{\\alpha_t}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.16734762011132237\n" ] } ], "source": [ "D1 = 0.75\n", "alpha_t = 1.5\n", "\n", "new_D1 = D1 / np.exp(alpha_t)\n", "print(new_D1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conversely, $x_2$ is **misclassified**, so its weight should **increase** by a factor of $e^{\\alpha_t}$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.3612668027535486\n" ] } ], "source": [ "D2 = 0.75\n", "alpha_t = 1.5\n", "\n", "new_D2 = D2 * np.exp(alpha_t)\n", "print(new_D2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Training with AdaBoost\n", "\n", "**Listing 4.1**: Training an ensemble of weak learners using AdaBoost\n", "\n", "This listing is essentially the same listing that was used to generate the figures for Section 4.1.1, but with the plotting code removed." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.metrics import accuracy_score\n", "\n", "def fit_boosting(X, y, n_estimators=10):\n", " n_samples, n_features = X.shape\n", " D = np.ones((n_samples, ))\n", " estimators = []\n", "\n", " for t in range(n_estimators):\n", " D = D / np.sum(D) \n", "\n", " h = DecisionTreeClassifier(max_depth=1) \n", " h.fit(X, y, sample_weight=D) \n", "\n", " ypred = h.predict(X) \n", " e = 1 - accuracy_score(y, ypred, sample_weight=D) \n", " a = 0.5 * np.log((1 - e) / e) \n", "\n", " m = (y == ypred) * 1 + (y != ypred) * -1 \n", " D *= np.exp(-a * m)\n", " \n", " estimators.append((a, h)) \n", "\n", " return estimators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Listing 4.2**: Making predictions with AdaBoost\n", "\n", "This listing is exactly the same listing that was used to generate the figure for the final boosting ensemble for Section 4.1.1 above, and is replicated here again. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def predict_boosting(X, estimators):\n", " pred = np.zeros((X.shape[0], ))\n", "\n", " for a, h in estimators:\n", " pred += a * h.predict(X)\n", "\n", " y = np.sign(pred)\n", "\n", " return y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us see how this works on a simple, synthetic data set.\n", "\n", "**NOTE**: The boosting algorithm we have implemented requires negative examples and positive examples to be labeled -1 and 1 respectively. In the example above, since the function make_moons returns labels y with negative examples and positive examples labeled 0 and 1 respectively, we convert them to -1 and 1 with ``y = (2 * y) – 1``. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "X, y = make_moons(n_samples=200, noise=0.1, random_state=13)\n", "y = (2 * y) - 1 \n", "Xtrn, Xtst, ytrn, ytst = train_test_split(X, y, test_size=0.25, random_state=13)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.020000000000000018" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "estimators = fit_boosting(Xtrn, ytrn)\n", "ypred = predict_boosting(Xtst, estimators)\n", "\n", "from sklearn.metrics import accuracy_score\n", "tst_err = 1 - accuracy_score(ytst, ypred)\n", "tst_err" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we visualize the performance of AdaBoost as the number of base estimators increases in the figure below. As we add more and more weak learners into the mix, the overall ensemble is increasingly boosted into a stronger, more complex and more nonlinear classifier." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 864x576 with 6 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_samples, n_features = X.shape\n", "n_estimators = 20\n", "D = np.ones((n_samples, )) # Initialize example weights\n", "ensemble = [] # Initialize an empty ensemble\n", "\n", "fig, ax = plt.subplots(nrows=2, ncols=3, figsize=(12, 8))\n", "subplot_id = -1\n", "for t in range(n_estimators):\n", " D = D / np.sum(D) # Normalize the sample weights\n", "\n", " h = DecisionTreeClassifier(max_depth=1) # Initialize a decision stump\n", " h.fit(X, y, sample_weight=D) # Train a weak learner using sample weights\n", "\n", " ypred = h.predict(X) # Predict using the weak learner\n", " e = 1 - accuracy_score(y, ypred, sample_weight=D) # Weighted error of the weak learner\n", " a = 0.5 * np.log((1 - e) / e) # Weak learner weight\n", "\n", " m = (y == ypred) * 1 + (y != ypred) * -1 # Identify correctly classified and misclassified points\n", " D *= np.exp(-a * m) # Update the sample weights\n", "\n", " ensemble.append((a, h)) # Save the weighted weak hypothesis\n", "\n", " # Plot the ensemble\n", " if t in [0, 2, 4, 9, 14, 19]:\n", " subplot_id += 1\n", " r, c = np.divmod(subplot_id, 3)\n", " err = (1 - accuracy_score(y, predict_boosting(X, ensemble))) * 100\n", "\n", " title = 'Iteration {0}: err = {1:4.2f}%'.format(t + 1, err)\n", " plot_2d_classifier(ax[r, c], X, y, \n", " predict_function=predict_boosting, predict_args=ensemble,\n", " alpha=0.25, xlabel=None, ylabel=None, s=80, \n", " title=title, colormap='Blues')\n", " ax[r, c].set_xticks([])\n", " ax[r, c].set_yticks([])\n", " \n", "fig.tight_layout()\n", "# plt.savefig('./figures/CH04_F09_Kunapuli.png', dpi=300, format='png', bbox_inches='tight');\n", "# plt.savefig('./figures/CH04_F09_Kunapuli.pdf', dpi=300, format='pdf', bbox_inches='tight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### 4.2.3\tAdaBoost with scikit-learn\n", "\n", "``scikit-learn``’s [``AdaBoostClassifier``](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.AdaBoostClassifier.html) provides additional functionality including support for multi-class classification, as well as other base learning algorithms beyond decision trees. There are three important arguments that the AdaBoostClassifier package takes:\n", "* ``base_estimator``, the base learning algorithm AdaBoost uses to train weak learners,\n", "* ``n_estimators``, the number of weak learners that will be trained sequentially by AdaBoost, and\n", "* ``learning_rate``, an additional parameter that progressively shrinks the contribution of each successive weak learner\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_breast_cancer\n", "from sklearn.model_selection import train_test_split\n", "X, y = load_breast_cancer(return_X_y=True)\n", "Xtrn, Xtst, ytrn, ytst = train_test_split(X, y, test_size=0.25, random_state=13)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>AdaBoostClassifier(base_estimator=DecisionTreeClassifier(max_depth=2),\n", " learning_rate=0.75, n_estimators=20)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" ><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">AdaBoostClassifier</label><div class=\"sk-toggleable__content\"><pre>AdaBoostClassifier(base_estimator=DecisionTreeClassifier(max_depth=2),\n", " learning_rate=0.75, n_estimators=20)</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" ><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">base_estimator: DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(max_depth=2)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" ><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(max_depth=2)</pre></div></div></div></div></div></div></div></div></div></div>" ], "text/plain": [ "AdaBoostClassifier(base_estimator=DecisionTreeClassifier(max_depth=2),\n", " learning_rate=0.75, n_estimators=20)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shallow_tree = DecisionTreeClassifier(max_depth=2)\n", "ensemble = AdaBoostClassifier(base_estimator=shallow_tree, \n", " n_estimators=20, learning_rate=0.75)\n", "ensemble.fit(Xtrn, ytrn)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.05594405594405594\n" ] } ], "source": [ "ypred = ensemble.predict(Xtst)\n", "err = 1 - accuracy_score(ytst, ypred)\n", "print(err)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``AdaBoostClassifier`` also contains a multi-class implementation of AdaBoost called SAMME." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 1, 2])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn.utils.multiclass import unique_labels\n", "X, y = load_iris(return_X_y=True)\n", "Xtrn, Xtst, ytrn, ytst = train_test_split(X, y, test_size=0.25, random_state=13)\n", "\n", "unique_labels(y)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.07894736842105265\n" ] } ], "source": [ "ensemble = AdaBoostClassifier(base_estimator=shallow_tree,\n", " n_estimators=20, \n", " learning_rate=0.75, algorithm='SAMME.R')\n", "ensemble.fit(Xtrn, ytrn)\n", "ypred = ensemble.predict(Xtst)\n", "err = 1 - accuracy_score(ytst, ypred)\n", "print(err)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 2 }