{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "_This notebook contains code and comments from Section 1.3 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", "## 1.3 Fit vs. Complexity in Machine-Learning Models \n", "\n", "We will explore fit vs. complexity (a simpler view of the bias-variance dilemma) through a regression task on the on a synthetic regression data set, ``Friedman-1``. This data set is a highly nonlinear regression problem, where the labels are related to the features through the relationship:\n", "\\\\[\n", "y = 10 \\sin{(\\pi x_1 x_2) + 20(x_3 - 0.5)^2 + 10 x_4 + 5 x_5 + GaussianNoise(0, \\sigma)}\n", "\\\\]" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_friedman1\n", "X, y = make_friedman1(n_samples=500, \n", " n_features=15, \n", " noise=0.3, \n", " random_state=23)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### 1.3.1 Regression with Decision Trees\n", "\n", "Perform 5 runs of the following:\n", "- Split the data into training (67%) and test (33%) sets randomly\n", "- Fit (train) decision trees of different depths in the range 1 to 10 on the training set \n", "- Evaluate each of the trees on both the training set (to get the training score) and test set (to get the test score) using [R2 coefficient](https://en.wikipedia.org/wiki/Coefficient_of_determination) as the scoring metric" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "from sklearn.model_selection import ShuffleSplit\n", "from sklearn.model_selection import validation_curve\n", "import numpy as np\n", "\n", "subsets = ShuffleSplit(n_splits=10, test_size=0.25, random_state=23)\n", "\n", "model = DecisionTreeRegressor()\n", "trn_scores, tst_scores = validation_curve(model, X, y, \\\n", " param_name='max_depth', param_range=range(1, 11), \\\n", " cv=subsets, scoring='r2')\n", "mean_train_score = np.mean(trn_scores, axis=1) \n", "mean_test_score = np.mean(tst_scores, axis=1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the training and test score curves." ] }, { "cell_type": "code", "execution_count": 3, "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": [ "import matplotlib.pyplot as plt\n", "\n", "fig = plt.figure()\n", "plt.plot(range(1, 11), mean_train_score, linewidth=1.5, marker='o', markersize=9, mfc='w');\n", "plt.plot(range(1, 11), mean_test_score, linewidth=1.5, marker='s', markersize=9, mfc='w');\n", "plt.legend(['training score', 'test score'], loc='lower center', ncol=2, fontsize=12)\n", "plt.xlabel('Decision Tree Complexity (maximum tree depth)', fontsize=12);\n", "plt.ylabel('$R^2$ coefficient', fontsize=12);\n", "plt.xticks(range(1, 11));\n", "plt.title('Decision Tree Regression')\n", "fig.tight_layout()\n", "\n", "# plt.savefig('./figures/CH01_F04_Kunapuli.png', format='png', dpi=300, bbox_inches='tight');\n", "# plt.savefig('./figures/CH01_F04_Kunapuli.pdf', format='pdf', dpi=300, bbox_inches='tight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An R2 score close to 1 means that the model achieves nearly zero error and is very good. \n", "\n", "As decision trees become deeper (more complex) the training scores increase and the resulting models **fit** the data increasingly better. However, the test scores do not correspondingly increase and the resulting models do not **generalize** better. Thus, the most complex model with the best fit on the training set is not necessarily the best model for future predictions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### 1.3.2 Regression with Support Vector Machines\n", "\n", "SVMs aim to minimize an objective function of the form \n", "\n", "\\\\[\n", "objective = complexity(model) + C*loss(model, data).\n", "\\\\]\n", "\n", "\n", "As C increases, the loss term becomes more dominant, forcing the SVM to minimize the loss and improve the fit. As it does so however, for larger values of C, the complexity term is increasingly ignored and the model becomes more complex. \n", "\n", "This behavior is visualized below for a simple 1d regression problem where the (synthetic) data is generated from the true function $y = \\frac{\\sin x}{x}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x648 with 6 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.svm import SVR\n", "from sklearn.metrics import r2_score\n", "\n", "n_syn = 100\n", "X_syn = np.linspace(-10.0, 10.0, n_syn).reshape(-1, 1)\n", "y_true = np.sin(X_syn) / X_syn\n", "y_true = y_true.ravel()\n", "y_syn = y_true + 0.125 * np.random.normal(0.0, 1.0, y_true.shape)\n", "y_syn[-1] = -0.5 # Add one very noisy point to illustrate (exaggeratedly), the impact of overfitting\n", "\n", "fig, ax = plt.subplots(nrows=2, ncols=3, figsize=(12, 9))\n", "for k, C in enumerate(10.0**np.arange(-3, 3)):\n", " # Find the correct axis row and column and plot the noisy data and the true function\n", " i, j = np.divmod(k, 3)\n", " ax[i, j].scatter(X_syn[:, 0], y_syn, edgecolors=None, alpha=0.5);\n", " ax[i, j].plot(X_syn[:, 0], y_true, linewidth=1, linestyle='-.', label='true');\n", " \n", " # Learn an SVM model for this value of C\n", " model = SVR(C=C, kernel='rbf', gamma=0.75)\n", " model.fit(X_syn, y_syn)\n", " y_pred = model.predict(X_syn)\n", " \n", " # Plot the learned SVM model for this value of C\n", " ax[i, j].plot(X_syn[:, 0], y_pred, linewidth=3, linestyle='-', label='learned');\n", " \n", " # Finish up the plots\n", " trn_score = r2_score(y_syn, y_pred)\n", " ax[i, j].set_title('C=$10^{{ {0} }}$, trn score = {1:3.2f}'.format(int(np.log10(C)), trn_score))\n", " \n", " # Put legend on one plot\n", " if k == 0:\n", " handles, labels = ax[i, j].get_legend_handles_labels()\n", " ax[i, j].legend(handles, labels, loc='upper left', fontsize=12);\n", " \n", " if i == 0:\n", " ax[i, j].set_xticks([])\n", " \n", "fig.tight_layout()\n", "\n", "# plt.savefig('./figures/CH01_F05_Kunapuli.png', format='png', dpi=300, bbox_inches='tight');\n", "# plt.savefig('./figures/CH01_F05_Kunapuli.pdf', format='pdf', dpi=300, bbox_inches='tight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As C increases, the model moves from underfit to \"good\" fit. However, as C keeps increasing, the fit ultimately plateaus, though the model continues to become more nonlinear and complex. This increasing complexity makes it start deviating from the true underlying function and leads to **overfitting**, which ultimately hurts generalization on future data points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we return to the Friedman data set and repeat the same experiment as we did with decision trees.\n", "\n", "Perform 5 runs of the following:\n", "- Use the same subsets from the previous experiment with decision trees\n", "- Fit (train) SVRs of different with different C values (10<sup>-2</sup>, 10<sup>-1</sup>, ..., 10<sup>3</sup>, 10<sup>4</sup>) on the training set \n", "- Evaluate each of the trees on both the training set (to get the training score) and test set (to get the test score) using [R2 coefficient](https://en.wikipedia.org/wiki/Coefficient_of_determination) as the scoring metric" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn.svm import SVR\n", "\n", "model = SVR(kernel='rbf', gamma=0.1)\n", "trn_scores, tst_scores = validation_curve(model, X, y.ravel(), \n", " param_name='C', \n", " param_range=np.logspace(-2, 4, 7), \n", " cv=subsets, scoring='r2')\n", "\n", "mean_train_score = np.mean(trn_scores, axis=1) \n", "mean_test_score = np.mean(tst_scores, axis=1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the training and test score curves." ] }, { "cell_type": "code", "execution_count": 8, "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.semilogx(np.logspace(-2, 4, 7), mean_train_score, linewidth=1.5, marker='o', markersize=9, mfc='w');\n", "plt.semilogx(np.logspace(-2, 4, 7), mean_test_score, linewidth=1.5, marker='s', markersize=9, mfc='w');\n", "plt.legend(['training score', 'test_score'], loc='lower center', ncol=2, fontsize=12);\n", "plt.xlabel('SVM Complexity (regularization parameter, C)', fontsize=12);\n", "plt.ylabel('$R^2$ coefficient', fontsize=12);\n", "plt.title('Support Vector Regression', fontsize=12)\n", "fig.tight_layout()\n", "\n", "# plt.savefig('./figures/CH01_F06_Kunapuli.png', format='png', dpi=300, bbox_inches='tight');\n", "# plt.savefig('./figures/CH01_F06_Kunapuli.pdf', format='pdf', dpi=300, bbox_inches='tight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with decision trees, a more complex model doesn fit the training data better, but without the corresponding generalization performance as indicated by the test score." ] } ], "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 }