{ "cells": [ { "cell_type": "markdown", "id": "a929ba18", "metadata": {}, "source": [ "# Generalized Additive Model\n", "\n", "The following is a brief illustrative example of how generalized additive models (GAMs) can be implemented in `delicatessen`. For demonstration, we use data on motorcycle impacts from Silverman (1985). \n", "\n", "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "faeca36f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Versions\n", "NumPy: 2.3.5\n", "SciPy: 1.16.3\n", "Pandas: 2.3.3\n", "Matplotlib: 3.10.8\n", "Delicatessen: 4.1\n" ] } ], "source": [ "import numpy as np\n", "import scipy as sp\n", "import pandas as pd\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "import delicatessen as deli\n", "from delicatessen import MEstimator\n", "from delicatessen.estimating_equations import (ee_regression, \n", " ee_ridge_regression, \n", " ee_additive_regression)\n", "from delicatessen.utilities import additive_design_matrix, regression_predictions\n", "\n", "%matplotlib inline\n", "mpl.rcParams['figure.dpi']= 200\n", "np.random.seed(202301)\n", "\n", "print(\"Versions\")\n", "print(\"NumPy: \", np.__version__)\n", "print(\"SciPy: \", sp.__version__)\n", "print(\"Pandas: \", pd.__version__)\n", "print(\"Matplotlib: \", mpl.__version__)\n", "print(\"Delicatessen:\", deli.__version__)" ] }, { "cell_type": "markdown", "id": "9bd5a57f", "metadata": {}, "source": [ "Loading the motorcycle data (the data can be found in a few different R libraries and other online resources about GAMs). " ] }, { "cell_type": "code", "execution_count": 2, "id": "20bf63c8", "metadata": {}, "outputs": [], "source": [ "# Loading data\n", "d = pd.read_csv(\"data/silverman.csv\")\n", "d['intercept'] = 1\n", "\n", "# Formating data for delicatessen\n", "X = np.asarray(d[['intercept', 'times']])\n", "y = np.asarray(d['accel'])\n", "\n", "# Formating data for plots\n", "p = pd.DataFrame()\n", "p['times'] = np.linspace(np.min(d['times']), np.max(d['times']), 200)\n", "p['intercept'] = 1\n", "Xp = np.asarray(p[['intercept', 'times']])" ] }, { "cell_type": "markdown", "id": "8df4d1a4", "metadata": {}, "source": [ "Now let's visualize the relationship in the data" ] }, { "cell_type": "code", "execution_count": 3, "id": "98c29cb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(d['times'], d['accel'], '.', color='k')\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Acceleration (g)\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "699fac56", "metadata": {}, "source": [ "As easily seen in the scatterplot, the relationship between time and acceleration is non-linear. \n", "\n", "We can show this even further by fitting a regression model with a linear relationship between the variables. We will do that here" ] }, { "cell_type": "code", "execution_count": 4, "id": "88e09bad", "metadata": {}, "outputs": [], "source": [ "def psi(theta):\n", " return ee_regression(theta=theta, X=X, y=y, model='linear')" ] }, { "cell_type": "code", "execution_count": 5, "id": "08166eb5", "metadata": {}, "outputs": [], "source": [ "estr = MEstimator(psi, init=[0, 0])\n", "estr.estimate(solver='lm')" ] }, { "cell_type": "code", "execution_count": 6, "id": "2e157eda", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Predicted values and confidence intervals for plot\n", "pred_y = regression_predictions(Xp, estr.theta, estr.variance)\n", "\n", "# Plot\n", "plt.plot(d['times'], d['accel'], '.', color='k')\n", "plt.plot(p['times'], pred_y[:, 0], color='orange')\n", "plt.fill_between(p['times'],\n", " pred_y[:, 2], pred_y[:, 3],\n", " color='orange', alpha=0.3)\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Acceleration (g)\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "d628e122", "metadata": {}, "source": [ "As we can clearly see, a linear relationship is very different from the observed data\n", "\n", "## Implementing a GAM\n", "\n", "As of v1.1, `delicatessen` has a built-in functionality for GAMs. We will use that built-in functionality here. GAMs are implemented through the use of $L_2$-penalized splines. For implementation, the user needs to provide the knots (number or locations). Other optional arguments include the power of the splines, whether to restrict, and the strength of the penalty. Stronger penalties move the model closer to the fit of a linear model.\n", "\n", "First, we define our estimating equations. The ``ee_additive_regression`` model builds the additive model design matrix for us, so we only need to pass the design matrix for the linear model above. However, we also need to specify some spline options. For the intercept term, we do not want any splines. For times, we will specify use of 12 knots and a rather strong penalty of 2000. This penalty will prevent the GAM from being too 'wiggly'." ] }, { "cell_type": "code", "execution_count": 7, "id": "555455b9", "metadata": {}, "outputs": [], "source": [ "# Defining specifications for splines to built the additive design matrix\n", "knot_locs = np.percentile(d['times'], q=np.linspace(2.5, 97.5, 11)).tolist()\n", "specs = [None, # Spec for 1st term (intercept)\n", " {\"knots\": knot_locs, \"penalty\": 2000, \"power\": 3}] # Spec for 2nd term (times)\n", "\n", "# Defining the estimating equation\n", "def psi(theta):\n", " return ee_additive_regression(theta=theta, \n", " X=X, y=y, \n", " model='linear',\n", " specifications=specs)" ] }, { "cell_type": "code", "execution_count": 8, "id": "0e2853c8", "metadata": {}, "outputs": [], "source": [ "estr = MEstimator(psi, init=[0, 0, ] + [0, ]*10)\n", "estr.estimate(solver='lm', maxiter=2000)" ] }, { "cell_type": "code", "execution_count": 9, "id": "eb2e6d1e", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creating the corresponding additive design matrix\n", "Xpa = additive_design_matrix(p[['intercept', 'times']],\n", " specifications=specs)\n", "\n", "# Generating predicted values\n", "pred_y = regression_predictions(Xpa, estr.theta, estr.variance)\n", "\n", "# Plot\n", "plt.plot(d['times'], d['accel'], '.', color='k')\n", "plt.plot(p['times'], pred_y[:, 0], color='orange')\n", "plt.fill_between(p['times'],\n", " pred_y[:, 2], pred_y[:, 3],\n", " color='orange', alpha=0.3)\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Acceleration (g)\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "6b6d3264", "metadata": {}, "source": [ "Here, we can see that the GAM does a much better job of following the shape of the scatterplot.\n", "\n", "### Impact of the Penalty\n", "\n", "To show how the penalty impacts the wiggliness of the GAM, let's increase the GAM penalty by a large amount. As this penalty is only applied to the spline terms, we would expect to see the regression line become smoother. " ] }, { "cell_type": "code", "execution_count": 10, "id": "0922047a", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Defining specifications for splines to built the additive design matrix\n", "knot_locs = np.percentile(d['times'], q=np.linspace(2.5, 97.5, 11)).tolist()\n", "specs = [None, # Spec for 1st term (intercept)\n", " {\"knots\": knot_locs, \"penalty\": 1000000, \"power\": 3}] # Spec for 2nd term (times)\n", "\n", "# Defining the estimating equation\n", "def psi(theta):\n", " return ee_additive_regression(theta=theta, \n", " X=X, y=y, \n", " model='linear',\n", " specifications=specs)\n", "\n", "estr = MEstimator(psi, init=[0, 0, ] + [0, ]*10)\n", "estr.estimate(solver='lm', maxiter=2000)\n", "\n", "# Creating the corresponding additive design matrix\n", "Xpa = additive_design_matrix(p[['intercept', 'times']],\n", " specifications=specs)\n", "\n", "# Generating predicted values\n", "pred_y = regression_predictions(Xpa, estr.theta, estr.variance)\n", "\n", "# Plot\n", "plt.plot(d['times'], d['accel'], '.', color='k')\n", "plt.plot(p['times'], pred_y[:, 0], color='orange')\n", "plt.fill_between(p['times'],\n", " pred_y[:, 2], pred_y[:, 3],\n", " color='orange', alpha=0.3)\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Acceleration (g)\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "82ea0de2", "metadata": {}, "source": [ "Here, we can see the estimated function from the GAM is smoother than the previous GAM. To continue along this trend, let's crank up the penalty further." ] }, { "cell_type": "code", "execution_count": 11, "id": "c7c3fb6c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Defining specifications for splines to built the additive design matrix\n", "knot_locs = np.percentile(d['times'], q=np.linspace(2.5, 97.5, 11)).tolist()\n", "specs = [None, # Spec for 1st term (intercept)\n", " {\"knots\": knot_locs, \"penalty\": 1e11, \"power\": 3}] # Spec for 2nd term (times)\n", "\n", "# Defining the estimating equation\n", "def psi(theta):\n", " return ee_additive_regression(theta=theta, \n", " X=X, y=y, \n", " model='linear',\n", " specifications=specs)\n", "\n", "estr = MEstimator(psi, init=[0, 0, ] + [0, ]*10)\n", "estr.estimate(solver='lm', maxiter=2000)\n", "\n", "# Creating the corresponding additive design matrix\n", "Xpa = additive_design_matrix(p[['intercept', 'times']],\n", " specifications=specs)\n", "\n", "# Generating predicted values\n", "pred_y = regression_predictions(Xpa, estr.theta, estr.variance)\n", "\n", "# Plot\n", "plt.plot(d['times'], d['accel'], '.', color='k')\n", "plt.plot(p['times'], pred_y[:, 0], color='orange')\n", "plt.fill_between(p['times'],\n", " pred_y[:, 2], pred_y[:, 3],\n", " color='orange', alpha=0.3)\n", "plt.xlabel(\"Time (ms)\")\n", "plt.ylabel(\"Acceleration (g)\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "ddfa16f1", "metadata": {}, "source": [ "Here, the GAM is very similar to the linear regression we started with. This helps to show the more general relationship: as the penalty goes to infinity, the GAM will coincide with the linear model from before. \n", "\n", "To summarize, we want a penalty that prevents overfitting to the data but does not prevent the GAM from approximating the data. This selection of penalization is commonly done via cross-validation. However, use of cross-validation invalidates standard variance estimation approaches (including with the sandwich variance estimator). Therefore, I would recommend sacrificing the optimal penalty parameter (as determined by cross-validation) in favor of simpler variance estimation with `delicatessen`.\n", "\n", "GAMs are a flexible method that place fewer constraints on the functional forms of relationships via splines. These splines don't require us to know the true underlying functional form. Instead, the higher-order splines (with well-chosen knots) can serve as close approximations. \n", "\n", "## References\n", "\n", "Silverman BW. (1985). Some aspects of the spline smoothing approach to non‐parametric regression curve fitting. *Journal of the Royal Statistical Society: Series B (Methodological)*, 47(1), 1-21." ] } ], "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }